we know that
The perimeter of a rectangle is giving by
P=2(L+W)
where
L is the length
W is the width
The area of a rectangle is equal to
A=LW
In this problem we have
P=34 cm
A=70 cm^2
substitute in the fiormula above
34=2(L+W)
34/2=L+W
simplify
17=L+W ------> L=17-W -----> equation A
Area
70=LW -----> equation B
substitute equation A in equation B
70=(17-W)W
70=17W-W^2
Rewrite
W^2-17W+70=0
Is a quadratic equation
Solve the quadratic equation using a graphing tool
so
The solutions are
W=7 cm
W=10 cm
therefore
For W=7 cm L=10 cm
For W=10 cm L=7 cm
therefore
the dimensions of rectangle are
7 cm by 10 cm
experimento aleatorio con orden,remplazo y sin repeticion
A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.
How to explain the information.For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.
The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.
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Random experiment with order, replacement and without repetition
WILL
GIVE BRAINLIST FOR MATH
....
the graph shows the cost,c, in dollars of using a food-delivery service for w weeks which equation represents the cost of food-delivery service?
A c=1/60w
B w=60c
C c=60w
D c=60
show ur work plsssssssssssssss
Picture:
The equation for the cost of food-delivery service will be c = 30w.
What is equation?The statement of equality between two expressions consisting of variables and/or numbers.
Given that, a graph showing the cost, c, in dollars of using a food-delivery service for w weeks.
The slope of the equation is 30, 60/2 = 120/4 = 180/6 = 240/8 = 30
Hence, equation will be c = 30w
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Help I'm not that good at finding the mean
5 weeks = 35 days
\(\dfrac{19.25\text{ in}}{35\text{ days}}=0.55\dfrac{\text{ in}}{\text{ day}}}\)
Answer: 0.55 inches per day
Step-by-step explanation:
The mean is the average. There's seven days a week so 5x7=35 days, and then 19.25 inches of rain, divided by 35 days, has a mean of 0.55 inches per day.
woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost N5.40 and the meat cost #6.40. If she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay?
The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
What is the unit price?The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service
Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,
We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,
To find the same, we will first find the unit price of each,
Unit price = total price / total quantity
Since, 1.8 kg of chicken costs $5.40,
Therefore, 1 kg will cost = 5.40 / 1.8 = $3
Similarly,
If 1.6 kg of meat costs $6.40,
Therefore, 1 kg will cost = 6.40 / 1.6 = $4
Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,
Therefore,
2.4 kg of chicken will cost = 2.4 x 3 = $7.2
2 kg of meat will cost = 2 x 4 = $8
In total, she had to pay = 8+7.2 = $15.2
Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
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Find unit rate $602 for 20 hours of work
Student council is making bows for Red Ribbon Week. To make a complete bow, they need 234 feet of ribbon. If the student council has 1014 feet of ribbon, how many complete bows can they make?
Answer:
3 11/8
Step-by-step explanation:
Ben makes five paper helicopters with different wing lengths. He drops
them the same way from a height of two meters for five trials each. He
records the amount of time it takes for each helicopter to fall to the
ground. What is the independent variable?
Dropping the same way
Wing Length
Amount of time it takes the helicopter to hit the floor
Dropping from the same height
The correct answer is B. Wing Lenght
Explanation:
In this experiment, Ben is using on purpose paper helicopters with different wing lengths. This shows this factor is the one Ben is changing or controlling to find out if the wing length affects the time the paper helicopter flies before falling and in experiments the factor controlled is known as the independent variable. Because this factor is not manipulated by other factors but by the researcher and this affects other variables. For example, it is expected the wing length affects the flying time. According to this, the correct answer is B.
The correct answer is B. Wing Length
The following information should be considered:
In the given experiment, since Ben is using on-purpose paper helicopters having different wing lengths. This represent this factor is the one Ben is changing or controlling to find out in the case when the wing length impact the time the paper helicopter flies prior falling and in experiments the factor controlled is known as the independent variable.Learn more: https://brainly.com/question/994316?referrer=searchResults
What is the reciprocal of the divisor 5 1/5 divided by 1/10
The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.
The reciprocal of the divisor: Reciprocal and division of fractions are two different methods. When the numerator and denominator of a fraction are interchanged, then it is said to be its reciprocal. Suppose a fraction is a/b, then its reciprocal will be b/a. A fraction is a numerical quantity that is not a whole number.
The reciprocal of the divisor 5 1/5 divided by 1/10
To the reciprocal of the divisor.
Equation: 5 1/5 divided by 1/10
1st: Flip the 1/10 to become 10/1
2nd: Change division to multiplication
New equation: 5.1/5.10/1
⇒ 50/5
⇒ 10.
The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.
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Determine the number of solutions:
10-
8-
O No Solution
6
4
2-
++++
-10-8-6-4-2,
N
पं
-6
-8
-10-
O Infinitely Many Solutions
One Solution
6x-2y=-4
3x-y=-2
2
8 10
Answer:
infinitely many solutions
Step-by-step explanation:
let's compare each equations to equation of a line
which is y=mx+c
first equation
6x - 2y = -4
-2y = -6x -4
divide through by -2
y=3x+2
second equation
3x-y= -2
-y= -3x-2
divide through by -1
y= 3x+2
since the slope and intercept of the first and second equation equal each other then the number of solutions is infinitely many.
note that m is slope and c is intercept.
find the inequality represented by the graph pleasseee help me
Answer:
y≥1/2x is the answer for this problem
Please solve the question below 2.0
Answer:
The answer is B
Step-by-step explanation:
Just look at the picture
Graph the line 3x + 6y =12.
Answer: Slope=− 2.000 /1.000 =−0.500
x−intercept= 1 /4 =4.00000
y−intercept= 2 /4 =2
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x+6*y-(12)=0
Pull out like factors : 3x + 6y - 12 = 3 • (x + 2y - 4)
Solve : 3 = 0
A a non-zero constant never equals zero.
Solve x+2y-4 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+2y-4 = 0 and calculate its properties
Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000
y-intercept = 4/2 = 2
When y = 0 the value of x is 4/1 Our line therefore "cuts" the x axis at x= 4.00000
x-intercept = 4/1 = 4.00000
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 2.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -1.000/2.000 = -0.500
Slope = -1.000/2.000 = -0.500
x-intercept = 4/1 = 4.00000
y-intercept = 4/2 = 2
Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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-8m – 6(1 - 4m) = -102
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-8m – 6(1 - 4m) = -102 Question
Step 2
-8m – 6(1 - 4m) = -102 Remove parenthesis
16m-6=-102
Step 3
16m-6=-102 add 6 to sides
16m=-96
Step 4
16m=-96 Divide sides by 16
Answer
m=-6
Hope this helped
Answer:
Step-by-step explanation:
I can help
Step 1
-8m – 6(1 - 4m) = -102 Simplify
Step 2
-8m – 6(1 - 4m) = -102 Add 6 to the sides
16m=−96
Step 3
16m=−96 Divide the sides by 16
Answer
m=-6
Hope this helps
At school B, 108 year 8 students study French.
This is 60% of the year group.
How many students do not study French in year 8 in school B?
Step-by-step explanation:
108 = 60%
1% = 60%/60 = 108/60 = 1.8
100% = 1%×100 = 1.8×100 = 180
how many do not study French ?
the remainder of the students. that is 40% (100% - 60%) or 72 students (40×1.8 or simply 180-108).
Answer:
72 students do not study French.
Step-by-step explanation:
60% = 108 students
1. 108 ÷ 60 = 1.8 ( this is to find 1% of the students)
2. 1.8(1%) × 40 = 72
To check the answer:
108 + 72 = 180
180 × 60% = 108
An amusement park is installing a new roller coaster. the park intends to charge $5 per adult and $3 per child for each ride. It hopes to earn back more than the $750,000 cost of construction in four years. with the best of weather, the park can provide 100000 adult rides and 75,000 child rides in one season.
Answer:
Cost = 750,000
Income per year = 5 x 100,000 + 75,000 x 3 = 725,000
Income for 4 years = 4 x 725,000 = 2,900,000
Profit = 2,900,000 - 750,000 = 2,150,000
Step-by-step explanation:
How could Brent use a rectangle to model the factors of x2 – 7x + 6?
He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.
He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.
He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.
He could draw a diagram of a rectangle with dimensions x – 4 and x + 3 and then show the area is equivalent to the sum of x2, –4x, 3x, and half of –12.
The true statement is (c) that He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x^2, –x, –6x, and 6.
What is factorization?factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
The expression is given as:
\(x^{2} -7x + 6\)
Expand;
\(x^{2} -6x - x +6\)
Factorize;
x(x-1) - 6 (x- 1)
Factor out x - 6
(x - 6) (x- 1)
This means that the factors of \(x^{2} -7x + 6\) are x - 1 and x - 6
Hence, the true statement is (c) that He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x^2, –x, –6x, and 6.
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Answer: Answer is C
Step-by-step explanation:
help pls ill give extra points
Answer:
I can’t see the pic
Step-by-step explanation:
Ten less than 5 times the value of a number is equal to 10 times the quantity of
12 more than one-fourth of the number. If a is the number, what is the value of a?
Answer:
52
Step-by-step explanation:
given that the number is a
The expression for Ten less than 5 times the value of a number is given by
5a - 10
10 times the quantity of 12 more than one-fourth of the number.
a/4 is one-fourth of number
12 more than one-fourth of the number
a/4 + 12
expression for 10 times the quantity of 12 more than one-fourth of the number. is given by
10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120
Given that the above two expression are equal
equating them we have
5a - 10 = 2.5a + 120
adding 10 both sides
=>5a - 10+ 10 = 2.5a + 120 + 10
=> 5a = 2.5a + 130
subtracting 2.5a from both sides
=> 5a - 2.5a = 2.5a + 130 - 2.5a
=> 2.5a = 130
dividing both side by 2.5
=> a = 130/2.5 = 52
Thus, value of a is 52
9. Kyoko plans to put a new wood floor in her den, which is shown in the floor plan.
a. What is the area of the floor?
b. At a cost of $11 per square foot, how much will it
cost to put down the new floor?
c. Kyoko plans to put a rectangular area rug in the
room. The rug will be large enough so that only
a 2-foot wide section of the wood floor will be
exposed on each side. Find the dimensions of the
area rug.
d. What is the area of the area rug?
Den
17 ft x 14.5 ft
e. Find the area of the wood floor that will be exposed once the area rug is laid down.
a.) The area of the floor = 246.5ft²
b.) The amount that it will cost to put down the new floor would be = $2,711.5
C.) The new dimensions of the area rug would be= Length= 21ft, width = 18.5 ft.
d.) The area of the area rug would be = 388.5ft²
How to calculate the area of the floor?For question a.)
The floor has a rectangular shape. The area of a rectangle = length×width
area of the floor= 17×14.5
= 246.5ft²
For question b.)
For a square foot(1ft²) = $11
246.5ft² = 246.5×11 = $2,711.5
For question c.)
Since the rug will be extended by 2ft at each side, the new dimensions would be:
length = 2+2+17 = 21ft
width = 2+2+14.5 = 18.5ft
For question d.)
The area of the floor with the new dimensions = 21×18.5 = 388.5ft²
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Which statement best describes how the media influence policy development?
The media keep lawmakers informed of what is happening in government.
VThe media inform the public, who can then give their opinions to policymakers.
NThe media present opinions and ideas that inspire policymal kers
The media make it easier for government offcials to com
hone another.
M O
Answer:
its A on edge 2021
Step-by-step explanation:
your welcome :)
It is A (45). Hope this helps!
On a hike, Twyla traveled from an altitude of 527 meters to an altitude of 487 meters. Which statement uses absolute value correctly? *
A. Since |527−487|=40 , Twyla went down 40 meters in altitude.
B. Since |527−487|=40 , Twyla went up 40 meters in altitude.
C. Since |527−487|=−40 , Twyla went up 40 meters in altitude.
D. Since |527−487|=−40 , Twyla went down 40 meters in altitude.
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answer:
x = 1 , x = 13
Step-by-step explanation:
(x - 7)² = 36 ( take square root of both sides )
x - 7 = ± \(\sqrt{36}\) = ± 6 ( add 7 to both sides )
x = 7 ± 6
then
x = 7 - 6 = 1
x = 7 + 6 = 13
$35 is what percent of $50
Answer:
70%
Step-by-step explanation:
35/50 = 0.7
Answer:
35 is 70% of 50.This means that a $50 item with a $35 discount is receiving a 70% discount.
A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
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The range of y = –2x to the 4th power + 7?
Answer: y ≤ 7
Step-by-step explanation:
brainlest
An expression is given in the box.
90 + (3d)
What is the value of the expression if c = 4 and d = 6?
O2
04
36
O 72
Answer:
the question is 9c/3d where c=4 and d=6
9*4/3*6=2
The measure of the supplement of an angle is 36 less than the measure of the angle. Find the measures of the angles.
Answer:
∠1 → 108
∠2 → 72
Step-by-step explanation:
Supplementary angles add up to a total of 180° (two angles is a pair). So:
∠1+∠2=180°
∠1 → supplement
∠2 → 36 less than the supplement
Create an equation, using x as angle 1 and y as angle 2:
\(x+y=180\)
Insert the given values:
\(x+(x-36)=180\)
Solve for the value of x. Simplify parentheses:
\(x+x-36=180\)
Simplify addition:
\(2x-36=180\)
Add 36 to both sides:
\(2x-36+36=180+36\\\\2x=216\)
Isolate the variable. Divide both sides by 2:
\(\frac{2x}{2}=\frac{216}{2}\\\\ x=108\)
The value of x is 108. Insert this into the equation above:
\(x+y=180\\\\108+y=180\)
Solve for y. Subtract 108 from both sides:
\(108-108+y=180-108\\\\y=72\)
The value of y is 72.
Therefore:
∠1 → 108
∠2 → 72
:Done
*Check:
Insert the values into an equation set to 180 to determine if true:
\(108+72=180\\\\180=180\)
Subtract 108 by 72 to see if the difference is 36:
\(108-72=36\\36=36\)
The given values are true.
Supplementary angles add up to \(180^o\)
The angles are 72 and 108
Let the angles be x and y.
Such that:
\(y = x - 36\)
So, we have:
\(x + y = 180\) --- sum of supplementary angles
Substitute \(y = x - 36\)
\(x + x - 36 = 180\)
\(2x - 36 = 180\)
Collect like terms
\(2x = 36 + 180\)
\(2x = 216\)
Divide by 2
\(x = 108\)
Recall that:
\(y = x - 36\)
\(y = 108 - 36\)
\(y = 72\)
Hence, the angles are 72 and 108
See attachment for the illustration of the angles
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