5. The length of a red rectangle is 12 cm more than its width, w. A blue
rectangle, which is 4 cm wider and 2 cm shorter than the red one, has
perimeter 72 cm. Make a sketch of the rectangles expressing all dimensions in
terms of w. Then find the dimensions of the red rectangle.

Answers

Answer 1

Answer:

For the red triangle the width is 9 cm and the length is 24 cm. For the blue triangle, the width is 14 cm and the length is 22 cm.

Step-by-step explanation:

Red triangle: width is 9 cm, length is 24 cm, blue one width is 14 cm and the length is 22 cm. hope this helps. did this quickly! <3

Answer 2

Answer:

Step 1. Perimeter P means adding up all 4 sides of a rectangle.

Step 2. Let w be the width of the red rectangle

Step 3. Let w+15 be the length of the red rectangle

Step 4. Let w+5 be the width of the blue rectangle

Step 5. Let w+15-2=w+13 be the length of the blue rectangle

Step 6. Then for the blue rectangle, P=w+5+w+5+w+13+w+13=4w+36=72

Step 7. Solving 4w+36=72  

Subtract 36 from both sides of the equation

4w=36

Divide by 4 to both sides of the equation

ANSWER: For the red triangle the width is 9 cm and the length is 24 cm. For the blue triangle, the width is 14 cm and the length is 22 cm.


Related Questions

Find the missing angle measure.

Answers

Answer:

m<a=27º

Step-by-step explanation:

a triangle is 180º total

180-90=90

90-63=27

Help help help help help help help help help

Answers

Answer:

subtract 20 from both sides

Step-by-step explanation:

1. To find the answer, let's actually try solving the equation first and find the 2nd step.

2. (Solving)

Step 1: Distribute 2 to each term.

[tex](2)(x)+(2)(10)=60[/tex] [tex]2x + 20 = 60[/tex]

Step 2: Subtract 20 from both sides.

[tex]2x + 20 - 20 = 60 - 20[/tex] [tex]2x = 40[/tex]

3. Since we got that the second step was "subtract 20 from both sides," the answer is subtract 20 from both sides.

What is 1200 over 480 in mixed number

Answers

9514 1404 393

Answer:

  2 1/2

Step-by-step explanation:

1200/480 = (240·5)/(240·2) = 5/2 = (4/2) +(1/2) = 2 1/2


Peter, Jamal and Khan were on their way to a resort. Peter drove of the journey at a
constant speed of 64 km/h. Jamal took over and drove 5 of the journey for 20 min at
a constant speed of 60 km/h. Khan then took over and drove the remaining journey.
(a) How far did Jamal drive?
(b) How many minutes did Peter drive?

Answers

Answer:

that's what can I give

Step-by-step explanation:

hope it helps

I need help with 1 1/2 2 1/4

Answers

What do you need help with? Addition? Substraction?

If you’re doing addition, you would do it like this:

1 1/2 + 2 1/4 = 3/2 + 9/4 = 6/4 + 9/4 = 15/4 = 3 3/4

Answer:

1/8

Step-by-step explanation:

11/22  x 1/4 =1/8

Fill in the blanks….

Answers

Answer:

2

Step-by-step explanation:

2

v/13=11/7 solve for v

Answers

Answer:

Step-by-step explanation:

20.29 :)

4.Which is the best buy in the following cases. a) 4pens for Rs 56 or 6pens for Rs 90 give full step of answer​

Answers

Answer:

4 pens

Step-by-step explanation:

better value

10x + 6 - 2x - 20 Question 1 options:

12x + 26

8x + 26

8x - 14

12x + 14

---------------------------------

5x2 + 3 + 3x + x2 – 1

Question 2 options:


6x2 + 3x + 2


9x2 + 2


8x2 + 2


6x2 + 3x + 4

--------------------

(x−13)(x7)(x3)

Question 3 options:


x−10


1x3


x273


x−273

---------------------

(2xy)3

Question 4 options:


2x3y3


8x3y3


6x3y3


6xy

---------------------

xy−5

Question 5 options:


y5x


5xy



xy5


xy5

-----------------------

10x6x2



Question 6 options:


10x8


x4


10x4


(10x)4

----------------------

Evaluate


50⋅ 54

------------

53

Question 7 options:

Solve proble

Answers

Step-by-step explanation:

10-2x + 6- 20

8x-14 the answer of first question

I Need Help Please

Jada has a scale map of Kansas that fits on a page in her book. The page is 5 inches by 8 inches. Kansas is about 210 miles by 410 miles. Select all scales that could be a scale on the map. (There are 2.54 centimeters in an inch.) A. 1 in to 1 my B. 1 cm to 1 km C. 1 in to 10 mi D. 1 ft to 100 mi E. 1 cm to 200 km F. 1 in to 100 mi G. 1 cm to 1000 km

Answers

Step-by-step explanation:

5 inches on the map correspond to 210 miles (or even a bit more) in reality.

we do know, the real length of the state is 213 miles.

and 8 inches to 410 (or a bit more) miles.

but, in fact, in reality, Kansas is indeed 410 miles long.

so, let's see first about the consistency of the scale factors (our ratios) in every direction.

5 inches / 210 miles = 1/42

8 inches / 410 miles = 4/205 = 1/51.25

so, in order to be a true map, both directions must have the same scale factor.

to fit the whole map on one page we must go with the smaller scale ratio : 1/51.25

so,

A with the ratio 1/1 is wrong.

B wrong.

1 cm = 1/2.54 inches

1 km = 1/1.6 miles

so, the scale ratio here is

1 cm / 1km = 1/2.54 / 1/1.6 = 1.6 / 2.54

still far off of the 1/51.25 ratio.

C with the ratio 1/10 is wrong.

D wrong

1 ft = 12 inches

the ratio is therefore

12/100 = 3/25 = 1/8.3333

still far off of the 1/51.25 ratio.

E would fit

1 cm = 1/2.54 inches

1 km = 1/1.6 miles

200 km = 200/1.6

so, the scale ratio here is

1 cm / 200km = 1/2.54 / 200/1.6 = 1.6 / (2.54×200) =

= 1.6 / 508

still far off of the 1/51.25 ratio, but in the form of being much smaller. so it fits on the page.

F would fit.

the ratio is 1/100.

this is again far off of the 1/51.25 ratio, but also in the form of being much smaller, so it fits on the page.

G would fit.

1 cm = 1/2.54 inches

1 km = 1/1.6 miles

1000 km = 1000/1.6

so, the scale ratio here is

1 cm / 1000km = 1/2.54 / 1000/1.6 = 1.6 / (2.54×1000) =

= 1.6 / 2540

again far off of the 1/51.25 ratio, but also in the form of being much smaller. so it fits on the page.

i need help on number 6 and 7 !!! please help!!!! it would be much appreciated

Answers

Answer:

6.) No, you do not agree with Ted.

7.) x = 34 degrees

Step-by-step explanation:

6.) For a triangle to be valid, it must meet these requirements:

a+b>c

a+c>b

b+c>a

If it fails a single one, then it is invalid.

For example: 6+11 is not greater than 4. Therefor, Ted is incorrect

7.) Though you see a square, or rectangle (whatever you want to call it), you can break it up into 2 triangle, only 1 of which you need to solve for.

We have these clues:

angle 1 = x

angle 2 = 56 degrees

angle 3 is a right angle

Any triangle must have its angles sum to 180 degrees

We also know that right angles are equal to 90 degrees.

Our updated clues:

angle 1 = x

angle 2 = 56 degrees

angle 3 = 90 degrees

angles 1+2+3 must equal 180

So we can make this equation:

x+56+90=180

Add like terms and solve for x:

x = 34

Find the sum of the first twelve terms of the sequences 3, -6, 12, -24,..
Show your work.

Answers

if we look at the pattern, we have

let x = 3

x, -2x, 4x, -8x etc


which means what we need is

x + 4x + 16x + 64x, 256x, 1024x - 2x - 8x - 32x - 128x - 512x - 2048x

This is equal to -4113.

Answer:

3, -6, 12, -24, 48, -96, 192, -384, 768, -1536, 3072, -6144...

×-2

Geometric sequence

Solve the equation. ( − 6 ) ( − 2 ) ( − 1 ) =

Answers

Answer:

-12

Step-by-step explanation:

the answer is -12 because
-6 x -2 = 12
12 x -1 = -12

75.3325 round to the tenth

Answers

75.3 the first 3 [.3] is the tens place and since the number after it [3] isn’t higher the 5 you round down making it 75.3
75.3

the first 3 is in the tenths place, the second 3 is in the hundredths place, the 2 is in the thousandths place, and the 5 is in the ten thousandths place.

now since you know that the 3 is in the tenths place you have to look at the number in the hundredths place so you know what to round it to. since the number in the hundredths place is below 5, it stays the same. if it were a 5 or above, that 3 would be rounded to a 4 making the answer 75.4, but since it’s a 3, the answer stays 75.3

Which answer choice shows how to find 352 ÷ 16 using partial quotients? Find the quotient and the value that goes in the box in Step 2. Step 1: Subtract (20 × 16) from 352 to get 32. Step 2: Subtract (☐ × 16) from 32 to get 0. Step 3: Add to find the quotient. A. □ = 1; 352 ÷ 16 = 21 B. □ = 1; 352 ÷ 16 = 32 C. □ = 2; 352 ÷ 16 = 22 D. □ = 2; 352 ÷ 16 = 52

Answers

Partial quotient is one of the ways of dividing expressions and numbers.

The value that goes into the box is 2.The quotient is 22.

The quotient is given as:

[tex]\mathbf{352 \div 16}[/tex]

The first step is:

[tex]\mathbf{352 - (20 \times 16) = 32}[/tex]

The next step is:

[tex]\mathbf{32 - ([\ ] \times 16) = 0}[/tex]

Represent the blank with x

[tex]\mathbf{32 - (x \times 16) = 0}[/tex]

So, we have:

[tex]\mathbf{32 - 16x = 0}[/tex]

Collect like terms

[tex]\mathbf{16x = 32}[/tex]

Divide both sides by 2

[tex]\mathbf{x = 2}[/tex]

So, the value that goes into the box is 2.

The quotient is then calculated as:

[tex]\mathbf{Quotient = 20 + 2}[/tex]

[tex]\mathbf{Quotient = 22}[/tex]

Hence, the quotient is 22.

Read more about partial quotients at:

https://brainly.com/question/830526

plssssss help meh with this

Answers

Answer:

f(-9) = -263

Step-by-step explanation:

f(-9) = -3(-9)^2 - 20

= -3(81) - 20

= -243 - 20

= -263

In triangle abc ac=8cm, line bm is a median

Answers

Answer:

In triangle ABC, centroid D is on the median line segment AM.

Step-by-step explanation:

If AB=13cm,BC =13cm and AC=10cm, calculate: the height BM of the triangle. In triangle ABC, centroid D is on the median line segment AM.

hope i helped

-3p + 8 = -13

HELLLLPP

Answers

Answer:

p=-7     :)

Step-by-step explanation:

-13-8=3p

-13+(-8)=3p

-21=3p

  ÷3

-7=p

Answer:

p=-32

Step-by-step explanation:

there are 20 girls in the school choir. 15% of them wear glasses. how many girls in the choir wear glasses?

Answers

Answer:

3 wear glasses

Step-by-step explanation:

10%=2

5%=1

15%=3

how do you solve y=x+12 y=-18

Answers

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

The cost C (in millions of dollars) for the federal government to seize p% of an illegal drug as it enters the country is given by
C=528*p/100-p, 0≤p<100

A)Find the costs of seizing 25%, 50% and 75% for the drug.
B) According to the model, would it be possible to seize 100% of the drug? Explain.

Answers

Answer:

b for me hehe ok

Step-by-step explanation:

Explanation

a
Convert 0.58 into
percentage

Answers

Answer:

58%

Step-by-step explanation:

Answer:




Is 58% converted from 0.58

I need help please can anyone help.

Answers

Answer:

What do you need help on there’s nothing??

Nadia says figure A id dilated to form figure A' using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?

Answers

Answer:

Nadia says figure A is dilated to form figure A9 using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?

Step-by-step explanation:

solve equation s - 12= 20. s=?

Answers

Answer:

s = 32

Step-by-step explanation:

We have our equation:

s - 12 = 20

And we are trying to find s. Therefore, we can isolate the variable s, which means we have to move all the values from the variables side to the other side, like so:

s - 12 = 20

 +12     +12 (we add 12 to both sides in order to cancel out the -12, and also because whatever we do to one side, you have to do to the other!)

So, now our equation will look like this:

s = 20 + 12,

or,

s = 32

Which happens to be our answer!

Hope this helps :)

Fill in the missing number.
70% of blank equals 14

Answers

Answer:

20

Step-by-step explanation:

14/0.7

Answer:

Step-by-step explanation:

Your question: 70 percent of what number equals 14?

Step 1: Multiply both sides by 100 to get 7,000 and 1,400.

Step 2: Divide both sides by 70 to get 100 and 20.

Step 3: Put it into fraction form. [tex]\frac{20}{100}[/tex].

Step 4: Since in percentages, you typically only go up to 100, we can remove the 100 to leave us with just 20.

Step 5: We have our answer. 70% of 20 is 14.

Hope this helps! :D

if i had 350 cream puffs and got left with 30 and sold them for 1.75 how much money did i make​

Answers

Answer:

52.5

Step-by-step explanation:

Hope i helped!! :D

Agree with first answer

8.
(a) Rowena buys and sells clothes.
(1)
She buys a jacket for $40 and sells it for $45.40.
Calculate the percentage profit.

Answers

Answer:  13.5%

Work Shown:

45.40 - 40 = 5.40

She made $5.40 in profit. Divide this over the original price to find the percentage profit

(5.40)/(40) = 0.135 = 13.5%

×/2=y/3; y/4=z/4 và x+2y-z=10

Answers

Can you make it clear?

what it is the equivalent of 7:2

Answers

Answer:

7:2

7/2

Step-by-step explanation:

7:2 is also equivalent to 7/2

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