Answer:
76
Step-by-step explanation:
(66+66+89+83+2x)/6 ≥ 76
(304+2x)/6 ≥ 76
304+2x=456
2x = 152
x = 76
The correct Standard Form of the equation y=−2/7x−11/7
Answer:
y=-(2)/(7)x-5
Step-by-step explanation:
What do you know about these two lines?
y = 6x - 1
y = -6x - 4
A: The lines are parallel because their slopes are the same.
B: The lines are perpendicular because the slopes are opposites reciprocals
C: The lines are neither parallel nor perpendicular, they just intersect.
Explanation:
Refer to the y = mx+b form
m = slopeb = y interceptThe slopes are the only thing we focus on. For the equations y = 6x-1 and y = -6x-4, the slopes are 6 and -6 in that order.
The slopes are not equal, so the lines aren't parallel.
The slopes aren't opposite reciprocals of one another, so they aren't perpendicular either. An example of an opposite reciprocal pairing would be 6 and -1/6. Any pair of nonzero opposite reciprocal slopes always multiply to -1.
Therefore, the two lines are neither parallel nor perpendicular, they just intersect.
I need help asap please!!!
The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and
What is sine of angles?he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle. It is defined as the length of the opposite side divided by the length of the hypotenuse
The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360
2∅ 2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720
sin 2∅ = sin0 = 0; Sin90=1; sin180=0; sin240= -0.8660; sin270 = -1;
Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397
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Consider the conversion facts 1 inch = 2.54 centimeters and 1 centimeter = 0.39 inch.
a. Write an expression for the exact number of inches in 1 centimeter.
1 cm = -in.
b. Use a calculator to evaluate your expression in part (a). Round to the nearest ten thousandths if necessary.
1 cm =
in.
he clightly different when converting botung
The expression for the exact number of inches in 1 centimeter is 2.54/2.54 cm = 1/2.54 in and the number of inches is 0.39
How to determine the expression?From the question, we have the following parameters that can be used in our computation:
1 inch = 2.54 centimeters and 1 centimeter = 0.39 inch.
To calculate the number of inches expression, we make use of the following equation
1 inch = 2.54 centimeters
Divide both sides of the equation by 2.54
So, we have the following representation
1/2.54 inch = 2.54/2.54 centimeters
Rewrite the expression as
2.54/2.54 centimeters = 1/2.54 inch
So, we have
2.54/2.54 cm = 1/2.54 in
So, the expression is 2.54/2.54 cm = 1/2.54 in
The value of the expressionIn (a), we have'
Expression: 2.54/2.54 cm = 1/2.54 in
This implies that
2.54/2.54 cm = 1/2.54 in
Evaluate the quotients
1 cm = 0.39 in
Hence, the value is 0.39 inches
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Caleb invested $390 in an account paying an interest rate of 7% compounded
quarterly. Autumn invested $390 in an account paying an interest rate of 7%
compounded continuously. After 15 years, how much more money would Caleb have
in his account than Autumn, to the nearest dollar?
Answer:
$9
Step-by-step explanation:
DELTAMATH
A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus? hint: look at the difference between number of people and cost to get cost per person and then cost without people
How much does each person cost?
Write an equation to show cost, c, of a bus with x number of people on it
Answer:
Base rate: $120
Rate: $2 per person
Equation: f(x)=2x+120
Step-by-step explanation:
If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40. This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).
These values correspond to a base rate for the bus of $120.
The function for the cost per bus with x number of people on it would be:
\(f(x)=2x+100\)
This can be checked by using the values given in the problem:
\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)
The base rate of $120 and $2 per person satisfies the given equation and established values.
find the value of 7u+7 given that -3u-5=4
Match the like terms.
a.
2y? 2
b.
2
10x
c. -9x
d. 2.7yz
3
1. -3%
3:2
2. 57 ²2
3. -6yz?
4. 5.
Answer:
a . 2
b . 1
c . 4
d . 3
I hope I helped you^_^
solve for x! Please help i’ll give brainliest!
Answer:
6
Step-by-step explanation:
Answer
You can find the answer by finding the slant so use the formula for slant and then you can use the slant and already given lengths for the answer. I think you can use the pythagorean theorem with the slant and the given length and find your answer. That all I remember hope this helps!
Step-by-step explanation:
A scale factor of a famous statue uses a scale factor of 210:1. If the height of the drawing is 1.2 feet, what is the actual height of the statue?
Answer:
A scale factor of a famous statue uses a scale factor of 210:1. If the height of the drawing is 1.2 feet, what is the actual height of the statue?
The actual height of the statue is 252 feet (1.2 x 210).
Answer:
252
Step-by-step explanation:
10 2/4 inch pipe divided into 8 equal pieces is
Answer:
Step-by-step explanation:
10 2/4 = 42/4
42/4 / 8 = 42/32 = 1 10/32 = 1 5/16 inch
Solve pls
2x - 5 = 7
Answer:
\(x = 6\)Step-by-step explanation:
\(2x - 5 = 7 \\ 2x = 12 \\ x = 6\)
Hey there!
“Solve 2x – 5 = 7”
FIRST: ADD both SIDES by 5
2x – 5 + 5 = 7 + 5
CANCEL out: –5 + 5 because it gives you 0
KEEP: 7 + 5 because it helps us solve for x
7 + 5 = 12
NEW EQUATION: 2x = 12
SECOND: DIVIDE both sides by 2
2x / 2 = 12 / 2
CANCEL out 2 / 2 because that gives you 1
KEEP: 12 / 2 because it gives you the value of x
NEW EQUATION; x = 12 / 2
SOLVE ABOVE and you have your answer
12 / 2 = 6
Therefore, x = 6 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
15. Many people swimming in a pool experience pain in their ears if they dive to the
bottom. Why is this?
A. Pressure increases as the depth of the water column above them increases.
B. The area of the pool is wider where it's deeper.
C. Pressure decreases as the depth of the water column above them increases.
D. The vapor pressure at the surface is removed.
Answer:
The answer is Ahope this helps
On a test that has a normal distribution, a score of 29 falls three standard deviations above the mean, and a score of 23 falls one standard deviation above the mean. Determine the mean of this test.
The mean of the test is 20.
To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.
Let's denote the mean of the test as μ, and the standard deviation as σ.
We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:
29 = μ + 3σ
Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:
23 = μ + σ
Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.
From the second equation, we can isolate μ:
μ = 23 - σ
Substituting this value into the first equation, we have:
29 = (23 - σ) + 3σ
Simplifying the equation, we get:
29 = 23 + 2σ
2σ = 29 - 23
2σ = 6
σ = 3
Substituting the value of σ back into the second equation, we find:
μ = 23 - 3
μ = 20
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Here are the dimensions of two designs for a sandbox for the primary playground. Each sandbox is a rectangular prism. One design is 3 m by 3 m by 30 cm.
A second design is 3.25 m by 3.25 m by 25 cm.
a) Sketcheachsandbox.Includeitsdimensions.
b) Compare the designs. For each design, calculate the area
of material needed to build it and the volume of sand
it will hold.
c) Whichsandboxshouldbebuilt?Justifyyouranswer.
The volume of the first and second designs are 2.7 m³ and 2.64 m³ so, the second design will hold more sand.
What is volume?
The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.
Given:
One design is 3 m by 3 m by 30 cm,
A second design is 3.25 m by 3.25 m by 25 cm,
Calculate the volume for the first design as shown below,
Volume of first design = 3 × 3 × 30/ 100 (1 m = 100 cm),
The volume of the first design = 270 / 100
The volume of the first design = 2.7 m³
Calculate the volume of the second design as shown below,
The volume of the second design = 3.25 × 3.25 × 25 / 100
The volume of the second design = 264.06 / 100
The volume of the second design = 2.64 m³
The difference in the volume of both designs = The volume of the first design - The volume of the second design
The difference in the volume of both designs = 2.7 - 2.64
The difference in the volume of both designs =0.06 m³
Thus, the first design will hold more volume of sand.
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Jessica is at a charity fundraiser and has a chance of receiving a gift. The odds in favor of receiving a gift are 5/12. Find the probability of Jessica receiving a gift.
Answer:
5/17
Step-by-step explanation:
This is a question to calculate probability from odds. The formula is given as:
A formula for calculating probability from odds is P = Odds / (Odds + 1)
From the question , we are told that the odds of receiving a gift is
= 5:12
The probability of Jessica receiving a gift =
Probability = Odds / (Odds + 1)
P = 5/12 / ( 5/12 + 1)
P = (5/12)/ (17/12)
P = 5/12 × 12/17
= 5/17
Therefore, the probability of Jessica. receiving a gift is 5/17.
QUESTIONS
WHALE CAN FLY FASTER THAN A
CROW?
TRUE
FALSE
Answer: False
Step-by-step explanation: A whale can't fly
Answer:
False
Step-by-step explanation:
Because a whale cannot fly
A conical container can hold 120 pie cubic centimeters of water the diameter of the base of the container is 12 centimeters the height of the containers centimeters. If the diameter and height were both doubled the containers capacity would be times its original capacity
....Is Figure B a scale copy of Figure A? explain
A) YEs
B) No
The volume of a rectangular prism is 5058
50
5
8
cubic inches.
The dimensions are given below.
What is the missing value in the table?
The missing value in the table include the following: B. 4 1/2 in.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;
50 5/8 = 5 × W × 2 1/4
Width, W = 4 1/2 inches.
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Complete Question:
The volume of a rectangular prism is 50 5/8 cubic inches.
The dimensions are given below.
What is the missing value in the table?
Length Width Height
5 in. 214 in.
A. 79in.
B. 412in.
C. 134in.
D. 1018in.
the mean of four numbers is 12 and the mean of another six numbers is 22 what is the mean of all ten numbers?
To find the mean of a set of numbers, you need to add up all the numbers and then divide by the number of numbers in the set.
In this case, the mean of the four numbers is 12, which means the sum of those four numbers is 4 × 12 = 48. The mean of the other six numbers is 22, which means the sum of those six numbers is 6 × 22 = 132. The sum of all ten numbers is therefore 48 + 132 = 180.
To find the mean of all ten numbers, we need to divide the sum by the number of numbers, which is \(\frac{180}{10}\) = 18. Therefore, the mean of all ten numbers is 18.
Help would be appreciated
The correct reason for the similarity of triangles ADC and CBA is given as follows:
SSA.
What are the similarity theorems?The similarity theorems are listed as follows:
SAS: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent by the SAS theorem.ASA: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent by the ASA theorem.SSS: If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are congruent by the SSS theorem.SSA: If two sides and an angle not include between them are respectively equal to two sides and an angle of the other then the two triangles are congruent by the SSA theorem.In this problem, we have that:
Sides AB and DC are equal.Angles BAC and DCA are equal.Sides AC are equal.Two sides and an angle not between them, hence they are congruent by the SSA theorem.
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rogress: The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer A motor oil retailer needs to fill 50 one quart bottles, and he has two tanks: one that contains 12 gallons of oil and one that contains 2 gallons of oil. Which will he need to fill the bottles? The 2 gallon tank is enough. He will need both tanks. The 2 gallon tank is not enough, but the 12 gallon tank is enough. Question ID: 53297 Even both tanks will not be enough.
The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.
Find the solution ?The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.
A motor oil store has two tanks: one holds 12 gallons of oil, and the other holds 2 gallons of oil. In order to determine which tank will require to fill the bottles, the following computation must be done:
Quarts to gallons is 4 to 1.
1/4 x 60 = X
60/4 = X
15 = X
Since the motor oil vendor requires 15 gallons of oil, he must use both tanks but will still be short by 1 gallons
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Find the answer to this question.
Check the picture below.
so let's get "h" and thus we can get the area of the trapezoid.
\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{17^2 - 8^2}=h\implies \sqrt{225}=h\implies 15=h \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ h=15\\ a=12\\ b=20 \end{cases}\implies A=\cfrac{15(12+20)}{2}\implies A=240~m^2\)
well, for that, that'd be 2 can plus some more for the remaining 40 m², so I'd think 3 cans will do it,
\(\pounds 19.75\cdot \stackrel{cans}{3}\implies \text{\LARGE \pounds 59.25}\)
Find the slope of the line
y = 1/4x + 1/3
Thanks!
Answer:
0.0825
Step-by-step explanation:
1/4=0.25
1/3=0.33
What is 2/3 divided by 5/6
Step-by-step explanation:
\( \frac{2}{3} \div \frac{5}{6} \\ {doing \: reciprocal \:} \\ \frac{2}{3} \times \frac{6}{5} \\ \frac{4}{5} \)
Hope it will help :)
Answer:
4/5
Step-by-step explanation:
2/3÷5/6
2/3×6/5
2×6/3×5
12/3×5
12/15
4/5
Are the experimental probabilities after 300 trials closer to the theoretical probabilities?
After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.
To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.
Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.
Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.
Experimental probability of heads: 160/300 = 0.5333
Experimental probability of tails: 140/300 = 0.4667
Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.
In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.
To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.
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The question probable may be:
Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.
5. Marie sells outdoor grills. She knows sheearns 10% commission on the
first $10,000 and 12% on the next $15,000.She does not remember the
rate on the sales of more than $25,000. Hertotal sales for the month are
$30,000, and her total commission is $3,550.What is her rate of
commission for the sales over $25,000?
Answer:
21!
Step-by-step explanation:
because
What is the mixed number3 3/8 as a fraction
Answer: Mixed Number to Fraction
Mixed Numbers to Improper Fraction
Mixed Numbers Improper Fraction
3 3/4 15/4
3 3/8 27/8
3 8/9 35/9
Hope this helps!!
A farmer is packing 2,205 pounds of potatoes into boxes.
Each box can hold 49 pounds. How many boxes can the
farmer fill?
Answer:
The farmer can fill 45 boxes.
Step-by-step explanation:
To find this, we must divide the pounds of potatos by how much each box can hold.
2205/49 = 45
Answer:
45 boxes can be filled
Step-by-step explanation:
\(2205/49=45\)