All categories

4 years ago

In a sketch, a fountain is drawn 1/4 yard tall. The actual fountain will be 68 times as tall. How tall will the fountain be?

1 answer:

5 0

The answer is 17 yards.

So, the drawn length (l1) is 1/4 yard:
l1 = 1/4 yards

The actual fountain's length (l2) is 68 times l1:
l2 = 68 * l1

l2 = 68 * 1/4 yards
l2 = 17 yards

You might be interested in

You have 64 coins, consisting of pennies, nickels, and quarters. The value of

Romashka-Z-Leto [24]

Answer:

There are 20 pennies, 33 nickels and 11 quarters

Step-by-step explanation:

- You have 64 coins, consisting of pennies, nickels, and quarters

- The value of the coins is $4.60

- Assume that there are p pennies, n nickles, and q quarters

∴ p + n + q = 64 ⇒ (1)

- Lets find the value of each types of coins

∵ 1 penny = 1 cent ⇒ p = p cents

∵ 1 nickel = 5 cents ⇒ n = 5n cents

∵ 1 quarter = 25 cents ⇒ q = 25q cents

∵ 1 dollar = 100 cents ⇒ $4.60 = 4.60 × 100 = 460 cents

∴ p + 5n + 25q = 460 ⇒ (2)

- You also know that you have three times as many nickels as quarters

∴ n = 3q ⇒ (3) ⇒ the number of nickles by quarters

∵ 5n = 5(3q)

∴ 5n = 15q ⇒ (4) ⇒ the values of nickles by quarters

- Substitute (3) in equation (1) and (4) in equation (2)

∴ p + 3q + q = 64

∴ p + 4q = 64 ⇒ (5)

∴ p + 15q + 25q = 460

∴ p + 40q = 460 ⇒ (6)

- Subtract equation (5) from equation(6) to eliminate p

∴ 36q = 396

- Divide both sides by 36

∴ q = 11

- Substitute the value of q in equation (5)

∴ p + 4(11) = 64

∴ p + 44 = 64

- Subtract 44 from both sides

∴ p = 20

- Substitute the value of q in (3)

∴ n = 3(11) = 33

∴ n = 33

<em>There are 20 pennies, 33 nickels and 11 quarters</em>

6 0

3 years ago

Read 2 more answers

Translate the word phrase into a math expression. 15 fewer than the product of 4 and a number.

Norma-Jean [14]

Fewer indicates subtraction and product means multiplication.

4n - 15

3 0

4 years ago

Read 2 more answers

An extremely handsome math teacher was on a farm and he counted 32 animals; all pigs and chickens. Then he counted the number of

statuscvo [17]

Answer:

12 pigs and 20 chickens

Step-by-step explanation:

Chicken = 2 legs

Pig = 4 legs

(15 * 4) + (17 * 2) = 88 NO

(12 * 4) + (20 * 2) = 88 Yes, and 12 + 20 = 32

7 0

3 years ago

If y = 3x+b intersects y= mx +3 at (2, 3), find the value of b and m.

Darina [25.2K]

Answer:

The value of b is -3 and m is 0.

Step-by-step explanation:

You have to substitute the coordinates into both equation in order to find m and b value :

Find m,

$y = mx + 3$

At (2,3),

$3 = m(2) + 3$

$3 - 3 = 2m$

$2m = 0$

$m = 0$

Find b,

$y = 3x + b$

At (2,3),

$3 = 3(2) + b$

$b + 6 = 3$

$b = 3 - 6$

$b = - 3$

3 0

3 years ago

Read 2 more answers

A company spends 13% of its month budget on rent which total $2600 which proportion can be used to calculate the company’s total

yaroslaw [1]

Answer:

20,000

Step-by-step explanation:

We can create a proportion to find the total budget. A proportion is an equation where two ratios are set equal to each other. We create two fractions using the budget and percents.

$\frac{13}{100} =\frac{2600}{x}$

We begin solving by cross multiplying numerator to denominator of each fraction.

$13(x)=100(2600)\\13x=260000\\\frac{13x}{13}=\frac{260000}{13} \\20,000=x$

5 0

3 years ago

Read 2 more answers