What is the perimeter of a rhombus-shaped street sign with a 35-cm side? A. 280 cm
B. 140 cm
C. 1,225 cm
D. 70 cm

Answers

Answer 1
Answer: A rhombus has a total of 4 sides. All sides are equal. The formula of getting the perimeter of  a rhombus is:
Perimeter = 4 * S
Perimeter = 4 * 35 cm
Perimeter = 140 cm.

So the perimeter of a rhombus-shaped street sign that has a 35-cm side is equal to (B) 140 cm.

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Rachel's penny bank is 3/10 full. After she adds 440 pennies, it is 4/5 full. How many pennies can Rachel's bank hold?

Answers

Let p = number of pennies we need to find.

(3/10)/(4/5) = p/440

Solve for p to find your answer.

Answer:

880

Step-by-step explanation:

Multiply the numerator and the denominator of 4/5 by 2 so it can be added. Rachel's bank would now be 8/10 full. If 440 pennies made it half full (8/10-3/10= 5/10, which equals 1/2) then 880 pennies (440 times 2) would fill it up completely. Hope this helps!

-throckmorton

Yis directly proportional to the square of xy=96 when x = 4

Find a formula for y in terms of x

Answers

Answer:

y=6x^2

Step-by-step explanation:

y being directly proportional to the square of x means that the ratio between the two will always be equal to some constant (let's call it k). In equation form, we'd say:

(y)/(x^2)=k

We're told that y = 96 when x = 4, so we can plug those values in to find k:

(96)/(4^2)=(96)/(16)=6=k

Our more general equation is now

(y)/(x^2)=6

If we want to put y in terms of x, we need to get the y by itself on one side of the equation, which we can do here by multiplying both sides by x², giving us

y=6x^2

Final answer:

The question is about finding the equation given that y is directly proportional to the square of x. Based on the values in the question, the constant of proportionality 'k' is calculated as 6. Hence, the formula for y in terms of x is y = 6 * x^2.

Explanation:

When we say, y is directly proportional to the square of x, it simply means there is a constant constant of proportionality 'k', such that y = k * x2. Given in the problem, when x = 4, y = 96, we can substitute these values into the equation to solve for 'k'. This results in 96 = k * (42) which simplifies to 96 = 16k, and solving this gives us k = 6. Therefore, the formula for y in terms of x is y = 6 * x2.

Learn more about Proportional relationships here:

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Cynthia has $2.15 worth of change in her pocket. She has three more nickels than quarters and twice as many dimes as quarters. How many of each type coin has she?

Answers

Answer:

7 nickles

8 dimes

4 quarters

Step-by-step explanation:

q

d = 2q

n = q+3

25q + 10d + 5n = 215

25q + 10(2q) + 5(q + 3) = 215

25q + 20q + 5q - 15 = 215

50q = 200

q = 4

d = 2q = 8

n = q + 3 = 7

A vendor sells 60 pieces of fruit that are either apples or oranges. The ratio of apples to oranges is 3: 2. How many apples did the vendor sell? How many oranges did the vendor sell?

Answers

36 apples, 24 oranges

For this, each 'group' contains 5 fruits; three are apples; two are oranges. Take 60/5 is 12. then multiply 12 by each number of apples and oranges in each group, getting 36 apples and 24 oranges.

Solve and graph the inequality. What is the solution of the equation?
3.4 = 2p

A. 1/2
B. 3.4
C. 1.7
D. 0.3

Answers

p= 1.7 hope this helps u C:

Answer:

p=1.7

Step-by-step explanation:

I took the test and got this correct

For her birthday Lucy received $20 from her aunt , $15 from her grandmother , and $32 from her cousins. She bought an e- book for $10.85 . How much birthday money does Lucy have left ?

Answers

Answer: Lucy will have a total of $56.15 left after buying the E-Book.

Step-by-step explanation:

To find the answer, you will need to add together the total amount of money Lucy received from every one for her birthday.

After getting the total by using addition, you will need to use subtraction to get the answer for the total remaining money.

$20.00 + $15.00 + $32.00 = $67.00

$67.00 - $10.85 = $56.15

First you need to find out the total amount of money Lucy received. Add 20+15+32 and you will get $67. Subtract the money Lucy spent from the total amount of money. 67-10.85=56.15. She has $56.15 remaining.