Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Find CE and DE. Pls help me and don’t be slow when answering pls.
The lengths of the two tangents from a point to a circle are equal therefore
CB=CD
23=x
CE=x+x-5
CE=23+23-5
CE=41
DE= BA
DE=x-5
DE=18
The value of a house is expected to increase by 5% per year over the next several years. The current value of the house is $175,000. Is this situation an example of exponential growth or exponential decay?
Answer:
Exponential Growth
Step-by-step explanation:
This would be a case of decay if the value of the house were to decrease by 5% but since it is an increase, it is in fact, growth.
Solve the equation. Please help
\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)
Bethany went to the dog park with her dog at 12:30 pm she arrived back home at 2:30 pm how long was she at the dog park with her dog?
Answer:
2 hours
Step-by-step explanation:
12:30 + 1 hour = 1:30
1:30 + 1 hour = 2:30
She was at the dog park with her dog for 2 hours.
the formula for the area of a triangle is 1/2bh=A. Which of the not a first step to rearrange this formula to find to find the base of the triangke?
Answer:
base=area=1/2b×h
Step-by-step explanation:
it's a pleasure to help you goodbye. if I'm wrong tell me right away.
write the value of the unknown number in the verbal description
5 times the sum of 2 and a number is 80
a. 1
b. 28
c. 4
d. 16
Answer:
B.28
Step-by-step explanation:
If θ is an angle in standard position and its terminal side passes through the point (-7,24), find the exact value of sec θ sec θ in simplest radical form.
By applying the Pythagorean Theorem, we may determine that the student estimated tanθ, sinθ, cosecθ, and cotθ values incorrectly.
What is the Pythagorean theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.
According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a² + b², are equal to the squares on the legs.
So, the Pythagorean theorem can be used to find the value of the hypotenuse, which is the first step in determining the trigonometric function.
H² = P² + B²
Now change the value of the terms in the equation above to their known values.
H² = 7² + 24²
H² = 49 + 576
H² = 625
H = 25
The trigonometric functions' values at this time are as follows:
cosθ = -7/25
sinθ = -24/25
tanθ = 24/7
cosecθ = 25/24
secθ = 25/-7
cotθ = 7/24
Therefore, by applying the Pythagorean Theorem, we may determine that the student estimated tanθ, sinθ, cosecθ, and cotθ values incorrectly.
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Complete question:
The point (-7, -24) is on the terminal ray of angle θ which is in standard position. A student found the six trigonometric values for angle θ. The student’s answers are shown
1. A new compact has a sticker price of $14500. Options add another $982. Destination charges are $592. Dealer preparation is 5% of the total price. Sales tax is 7%. Tag fee is $145. Title fee is $45. What is the total price of the vehicle?
2. The selling price of a used car is $8850. Trade in allowance is $1500. Tax is 8%. Tag fee is $130. Title fee is $35. Finance charges are 9.5% annual simple interest. What is the total price of the financed amount? What are the total finance charges? What are the monthly payments if the vehicle is financed for 3 years? What is the total deferred price of the car?
3. The total deferred price of a car is $28000. After a down payment of $2100, the monthly payments are $380. How long is the financing agreement?
4. Stanley bought a new car with a sticker price of $19200. The dealer agreed to a 6% discount. The sales tax was 8% of the selling price. The tag fee was $65, and the title fee was $45. What is the total price of the car? The interest rate is 9% for financing the car for 5 years. What is the total deferred price after all the payments were made?
5. Mark bought a truck with a sticker price of $23000 plus additional options totaling $3500. He received a 4% discount and a $1500 trade-in allowance. The tax was 7%, tag fee was $125, and title fee was $75. He bought an extended warranty for $700, which was financed into the total cost of the truck. The interest rate was 6.5% for 5 years. How much are the monthly payments?
The total price of the vehicle would be $18,192.88.
The total deferred price of the car would be $11,191.60.
The length of the financing agreement is 68 months .
The total deferred price after the payments was $19,601.84.
The monthly payments would be $516.92.
How to find the price of the vehicle ?Subtotal = Base price + Options + Destination charges
Subtotal = $14,500 + $982 + $592 = $16,074
Dealer preparation = 5% of subtotal
Dealer preparation = 0.05 x $16,074 = $803.70
Sales tax = 7% of subtotal
Sales tax = 0.07 x $16,074 = $1,125.18
Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee
Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88
How to find the total deferred price ?Tax = 8% of selling price = 0.08 x $8,850 = $708
Tag fee = $130
Title fee = $35
Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223
Annual interest rate = 9.5%
Number of years financed = 3
Total finance charges = $8,223 x 0.095 x 3 = $2,341.595
Total financed amount = $8,223 + $2,341.595 = $10,564.595
Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615
Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595
How to find the length of the financing agreement ?Total deferred price = $28,000
Down payment = $2,100
Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900
Monthly payments = $380
Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16
The financing agreement is approximately 68 months long.
How to find the deferred price after the payments ?Sticker price = $19,200
Discount = 6% of sticker price = 0.06 x $19,200 = $1,152
Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048
Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84
Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84
How to find the monthly payments ?Using the formula for monthly payments on a loan:
P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)
= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92
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What is the median of the following data set?
{13, 18, 13, 14, 13, 16, 14, 21, 13}
A. 13
B. 13.5
C. 14
D. 15
The median of the data is 14
What is median?The median is the middle number in an ordered data set.
Given:
{13, 18, 13, 14, 13, 16, 14, 21, 13}
First all the data according to ascending order, we get
13, 13, 13, 13, 14, 14, 16, 18, 21
So, the median is the 5th term which is 14.
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This grid shows where a squirrel hid different nuts which ordered pair shows wheee the squirrel hid the acorns
2,8
2,10
8,2
8,8
A random sample of 1000 oranges showed that the mean amount of juice per orange was 8.2 fluid ounces, with a standard deviation of 1.1 fluid ounces.
(a) Determine the z-score, to the nearest hundredth, of an orange that produced 6,4 fluid ounces of juice.
(b) The 2-score for one orange was 3.11. How much juice was produced by this orange? Round to the nearest tenth of a fluid ounce.
(a) The value of the z-score for the 6.4 fluid ounce orange is -1.64
(b) The value of the z-score for the 3.11 fluid ounce orange is -4.63
(a) Calculating the values of the z-score 6.4 fluid ounceFrom the question, we have the following parameters that can be used in our computation:
Mean = 8.2
Standard deviation = 1.1
The values of the z-scores is calculated as
z = (z - Mean)/Standard deviation
So, we have
z = (z - 8.2)/1.1
When the score is 6.4, we have
z = (6.4 - 8.2)/1.1
Evaluate
z = -1.64
(b) Calculating the values of the z-scores 3.11 fluid ounceRecall that
z = (z - Mean)/Standard deviation
So when the score is 3.11, we have
z = (3.11 - 8.2)/1.1
Evaluate the expression
z = -4.63
Hence, the values of the z-scores are -1.64 and -4.63
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Prove that the quadratic Sequence 44:52:64; 80: will always have even terms
The sequence is will always have even numbers, is hence proved.
Given, the quadratic sequence is: 44:52:64:80
Sequences with a term are known as quadratic sequences. They can be distinguished by the fact that the first differences between terms are not equal but the second differences between terms are. Utilizing the term sum in an arithmetic progression formula, the sum of even numbers formula is achieved. The equation is Sum of Even Numbers Formula = n(n+1), where n is the total number of terms in the series.
The formula is: Tₙ = 2n² ₊ 2n ₊ 40
take 2 common
Tₙ = 2(n² ₊ n ₊ 20)
in other words n² ₊ n ₊ 20 = y
therefore , Tₙ = 2y
which by definition makes Tₙ an even number at all times.
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Evan swims 321 laps in a month. He swims for 22 days in the month, How
many laps does he swim each day? Write your answer as a mixed number,
14 laps
14 13/22 laps
15 5/22 laps
14 7/22 laps
Answer:
Step-by-step explanation:
321
Simplify: (6^10)(55^3)(15^2)/(20^5)(9^6)(11^20
After simplificatiοn οf the given expressiοn the factοr is 11. Thus, οptiοn b is cοrrect.
What is an expressiοn?There is a need fοr mathematical οperatiοns like multiplying, splitting, adding, and even deleting. They wοuld result in the fοllοwing assertiοn if cοmbined: A mathematical fοrmula, sοme data, and an equatiοn A declaratiοn οf truth is made up οf values, elements, and mathematical οperatiοns like additiοns, erasures, algebraic expressiοns, and divisiοns. It is pοssible tο rate and analyze wοrds and sentences.
Here,
When we replace these in the statement, we get:
=\(\dfrac{(2^{10} \times 3^{10})(5^3 \times 11^3)(3^2 \times 5^2) }{(2^{10} \times 5^5)(3^{12})(11^{20})}\)
= \(\dfrac{(11 \times 15^2) } {15^2}\)
= 11
After simplificatiοn of the given expressiοn the factor is 11. Thus, οption b is correct.
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16 40/50 in decimal form
\(\huge\textsf{Hey there!}\)
\(\mathsf{16 \dfrac{40}{50}}\)
\(\mathsf{= \dfrac{16\times50 + 40}{50}}\)
\(\mathsf{= \dfrac{800 + 40}{50}}\)
\(\mathsf{= \dfrac{840}{50}}\)
\(\mathsf{= 840\div50}\)
\(\mathsf{= 16.8}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\huge\boxed{\mathsf{16.8}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
Mary Lou Mason purchased baby bottles for $4.56, baby formula for $12.45, and a pacifier for $2.13. For all purchases she must pay the state sales tax of 6.5 percent and the county tax of 1.5 percent. What is the tax on her purchases? Show all of your work.
Mary Lou Mason's total taxes on her purchase would be $1.37.
What are taxes?Taxes are mandatory payments to the government that are used to fund public services such as infrastructure, education, and health care. Taxes can be direct, such as income taxes, or indirect, such as sales taxes.
Mary Lou Mason's total purchase was $19.14.
To calculate the total taxes for her purchase, we can use the following formula:
Tax = (State Sales Tax %) x (Total Purchase) + (County Tax %) x (Total Purchase)
Therefore, the total taxes for Mary Lou Mason's purchase would be:
Tax = (6.5%) x ($19.14) + (1.5%) x ($19.14)
Tax = (0.065 x 19.14) + (0.015 x 19.14)
Tax = 1.24 + 0.13
Tax = $1.37
Mary Lou Mason's total taxes on her purchase would be $1.37.
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Find the area of this semi-circle with diameter, d = 12cm.
Give your answer as an expression in terms of π.
Answer:
6pi
Step-by-step explanation:
Area of a circle = 2pi*r
d = 12
r = d/2
r=6
Area of semicircle = (2pi *r)/2 = pi*r
pi*6 = 6pi
Answer:18π cm^2
Step-by-step explanation:
diameter=12
Radius=diameter ➗ 2
Radius=12 ➗ 2
Radius=6
Area of semicircle=0.5 x π x radius x radius
Area of semicircle=0.5xπx6x6
Area of semicircle=18π cm^2
How do you write y - 3 -
(x + 4) in slope intercept form?
Answer:
y = x + 7
Step-by-step explanation:
Your original equation was:
y - 3 = (x+4)
First distribute
= (x+4)
Since there is no a value, then there is an invisible one and your result is:
y - 3 = x + 4
Then add 3 to both sides to get:
y = x +4 +3
y = x + 7
Since the slope-intercept form of a line is y = mx + b
where m is the slope and b is the intercept, then your equation is now in slope-intercept form.
Hope this helps! =D
(Stock Level). A.S. Ltd. produces a product 'RED' using two components X and Y. Each unit of 'RED' requires 0.4 kg. of X and 0.6 kg. of Y. Weekly production varies from 350 units to 450 units averaging 400 units. Delivery period for both the components is 1 to 3 weeks. The economic is 600 kgs. and for Y is 1,000 kgs. Calculate: (1) Re-order level of X; (ii) Maximum level of X; (iii) Maximum level of Y.
Answer:
Step-by-step explanation:
To calculate the reorder level of component X, we need to find out the average weekly consumption of X.
Average consumption of X per unit of 'RED' = 0.4 kg
Average weekly production of 'RED' = 400 units
Average weekly consumption of X for producing 400 units of 'RED' = 0.4 kg/unit x 400 units/week = 160 kg/week
Assuming lead time of 3 weeks for delivery of X, the reorder level of X would be:
Reorder level of X = Average weekly consumption of X x Lead time for delivery of X
Reorder level of X = 160 kg/week x 3 weeks = 480 kg
To calculate the maximum level of X, we need to take into account the economic order quantity and the maximum storage capacity.
Economic order quantity of X = Square root of [(2 x Annual consumption of X x Ordering cost per order) / Cost per unit of X]
Assuming 52 weeks in a year:
Annual consumption of X = Average weekly consumption of X x 52 weeks/year = 160 kg/week x 52 weeks/year = 8,320 kg/year
Ordering cost per order of X = 600
Cost per unit of X = 1
Economic order quantity of X = Square root of [(2 x 8,320 kg x 600) / 1] = 2,771.28 kg (approx.)
Maximum storage capacity of X = Economic order quantity of X + Safety stock - Average weekly consumption x Maximum lead time
Assuming a safety stock of 20% of the economic order quantity and a maximum lead time of 3 weeks:
Maximum storage capacity of X = 2,771.28 kg + (0.2 x 2,771.28 kg) - (160 kg/week x 3 weeks) = 2,815.82 kg (approx.)
To calculate the maximum level of Y, we follow the same approach as for X:
Annual consumption of Y = Average weekly consumption of Y x 52 weeks/year
Average consumption of Y per unit of 'RED' = 0.6 kg
Average weekly consumption of Y for producing 400 units of 'RED' = 0.6 kg/unit x 400 units/week = 240 kg/week
Annual consumption of Y = 240 kg/week x 52 weeks/year = 12,480 kg/year
Economic order quantity of Y = Square root of [(2 x Annual consumption of Y x Ordering cost per order) / Cost per unit of Y]
Ordering cost per order of Y = 1,000
Cost per unit of Y = 1.5
Economic order quantity of Y = Square root of [(2 x 12,480 kg x 1,000) / 1.5] = 915.65 kg (approx.)
Maximum storage capacity of Y = Economic order quantity of Y + Safety stock - Average weekly consumption x Maximum lead time
Assuming a safety stock of 20% of the economic order quantity and a maximum lead time of 3 weeks:
Maximum storage capacity of Y = 915.65 kg + (0.2 x 915.65 kg) - (240 kg/week x 3 weeks) = 732.52 kg (approx.)
Factor −5x2 + 10x.
PLS HURRY NEED THIS DUE TODAY
Answer:
C. 5x(-x + 2)
Step-by-step explanation:
To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.
Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.
Both terms have the common factor of 5x, so we can factor out 5x:
5x(-x + 2)
Therefore, the factored form of -5x² + 10x is -5x(x - 2).
\(\hrulefill\)
Additional notes:
If we expand the expressions in the given answer options, we get:
A. −5x(x + 2) = -5x² - 10x
B. 5(−x² + 10x) = -5x² + 50x
C. 5x(−x + 2) = -5x² + 10x
D. x(5x + 10) = 5x² + 10x
Hence confirming that the correct answer is option C.
To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):
\(-5x^2 + 10x = \boxed{-5x(x - 2)}\)We can check our answer by distributing \(-5x\) to the expression inside the parentheses:
\(\begin{aligned}-5x(x - 2)& = (-5x)(x) + (-5x)(-2)\\& = -5x^2 + 10x\end{aligned}\)\(\therefore\) The answer is \(-5x(x-2)\).
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
true/false.
____1.When the non-Standard unit used is small few unit's are
needed to fill a container when the non-standard the non-standard units used is bigger more units are needed to fill the container.
____2.Objects with shape can have the same volume.
____3. To find the volume of rectangular prism multiply the length,width and height.
_____4. Volume is measured in square unit's.
_____5. the amount of space inside an object is called the volume of the object.
____6. The volume of a rectangular prism is equal to the product of its length, width, and height V = 1xwxh cubic units.
____7. Standard units give a consistant and accurate measure of a container.
____8. Non-Standard units cannot be used to measure volume.
____9. Volume is measured in cubic units, such as cubic centimeters.
1. It is false that when non-Standard unit used is small few unit's are
needed .
2. Objects with different shapes can have the same volume. True
3. Length, width and height and multiplied to find volume of a rectangular prism. True
4. It is false that volume is measured in square unit.
5. It is true that Volume is a measure of the amount of space inside an object.
6. The formula for volume of a rectangular prism is V = l × w × h. True
7. It is true that Standard units give a consistent and accurate measure of a container.
8. It is false that Non-Standard units cannot be used to measure volume.
9. Volume is measured in cubic units. True
What is volume of an object?Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.
Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).
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true or false? the dependent variable corresponds to the x-axis
Answer:
true
Step-by-step explanation:
im really not sure. it just sounds true
Answer:
false
Step-by-step explanation:
the x-axis is the indipendent variable
20141
ID
NJ008306927
10
Name
Manuel Negron
Tune Remaining
00:24:41
A toy manufacturer is using
this design to package its
latest toy, What is the volume
of the box?
4.5 in.
6.5 in.
-6.5 in.
DinO-BO
315.5 cubic in
389 cubic in
4.5
435.8 cubic in
650.5 cubic in
-10.4 in.
with y width x height)
Answer:
315.5cubic in
10.4 x 4.5 x 6.5=
Step-by-step explanation:
GIVING 25 POINTS
Last week, a movie theater sold a daily average of 163.75 drinks and a daily average of 65.5 boxes of popcorn. Which rate best represents the relationship between the number of drinks sold and the number of boxes of popcorn sold?
A. 2.5 drinks per box of popcorn
B. 0.4 drinks per box of popcorn
C. 2.5 boxes of popcorn per drink
D. 65.5 boxes of popcorn per drink
(please help, i'm doing a test rn!)
Answer:
A.
Step-by-step explanation:
If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
For each value of u determine whether it is a solution to -2u-6<-20
Answer:
u > 7
Step-by-step explanation:
-2u -6 < -20 Add 6 to both sides
-2u - 6 + 6 < -20 + 6
-2u < -14 Divide both sides by -2. When you multiply or divide both sides by a negative number, you must flig the sign.
\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)
u > 7
Helping in the name of Jesus.
The answer is:
u > 7
In-depth explanation:
You haven't told me what the values of u are, but I'll solve the equation for u.
Add 6 on each side:
\(\bf{-2u-6 < -20}\)
\(\bf{-2u < -14}\)
Divide each side by -1 and reverse the sign:
\(\bf{2u > 14}\)
Now divide each side by 2
\(\bf{u > 7}\)
Corresponding angles are congruent which angle corresponds with <4?
Answer:
<8
Step-by-step explanation:
From the diagram, Corresponding angles are congruent that is Corresponding angles are equal in measure. From the diagram shown, the angle corresponding to <4 is <8 since they are located at the same position on both parallel lines that is right below (both at the top and bottom based on geometry )
Sean bakes 18 dozen chocolate cupcakes and 13 dozen vanilla cupcakes. About how many cupcakes did Sean bake? EXPLAIN now!!!
Sean baked 372 cupcakes in total.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Sean bakes 18 dozen chocolate cupcakes,
and 13 dozen vanilla cupcakes.
There are 12 cupcakes in one dozen.
To find the number of cupcakes:
Using multiplication operation,
18 x 12 = 216.
13 x 12 = 156.
The number of cupcakes = number of chocolate cupcakes + number of vanilla cupcakes.
The number of cupcakes = 216 + 156
The number of cupcakes = 372
Therefore, the number of cupcakes are 372.
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You have 2 bird feeders that hold 5 5/12 cups of seeds. You have a third bird feeder that holds 4 1/2 cups of seeds. One scoop of seeds holds 1 1/6 cups of seeds. How many scoops of seeds are needed to fill all three bird feeders?
The number of scoops of seeds needed to fill three bird feeders is 13 1/7 scoops of seeds .
How to find the feed ?To calculate the total seed quantity required to fill all three feeders, begin by computing the volume for the first two dispensers: each can hold 5 and five-twelfths cups of seeds.
Next, this text assumes an understanding that one scoop of seeds holds approximately 1 and one-sixth cups of product. Using this information, we determine how many scoops are needed to satisfy all three bird feeders' capacity.
By multiplying the first fraction's value with the reciprocal of the second fraction helps you divide fractions accurately:
(46 / 3) x (6 / 7) = (46 x 6) / (3 x 7) = 276 / 21
276 / 21 = 13 3/21
13 3/21 = 13 1/7 scoops
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If Joe drives 50 mph for 0.5 hours and then 60 mph for 1.5 hours, then how far did he drive?
Answer:
115 mi
Step-by-step explanation:
speed = distance/time
distance = speed * time
0.5 hours at 50 mph
distance = 50 mph * 0.5 h = 25 mi
1.5 hours at 60 mph
distance = 60 mph * 1.5 h = 90 mi
total distance = 25 mi + 90 mi = 115 mi