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3 years ago

11

The local kennel has 3 spots for cats to every 5 dogs. if the local kennel has a total of 72 spots for both cats and dogs, then

how many spots do they have for cats?

1 answer:

aliina [53]3 years ago

5 0

3:5
5+3= 8
72 / 8 = 9
9 x 3 = 27
27 spots for cats

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Klaus was replacing the roof on his house. He used 420 nails to attach all the pieces of wood. Each piece of wood needed 7 nails

jeyben [28]

Multiply 40x7 then subtract that total you got from multiplying 40x7 with 420

40x7=160

420-160=260

260 pieces of wood were left.

4 0

3 years ago

If m∠EBF = 6x + 4 and m∠CBF = 7x – 2, find m∠EBF.

olganol [36]

Answer:

78

Step-by-step

I hope it's helped

6 0

3 years ago

Read 2 more answers

An architect designs a castle tower for a new attraction at a popular amusement park. Blueprints of the tower, which is in the s

marin [14]

Answer:

<u>The surface area of the tower is 5,218.1 m²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the blueprint = 47 cm

Length of the blueprint = 23 cm

Width of the blueprint = 25 cm

Scale factor 1 : 96

2. Calculate the actual surface area of the tower and enter your answer in square meters with two decimal places.

Let's calculate the measurements of the actual tower:

Height of the blueprint = 47 * 96 = 4,512 cm = 45.12 m

Length of the blueprint = 23 * 96 = 2,208 cm = 22.08 m

Width of the blueprint = 25 * 96 = 2,400 cm = 24 m

Now, let's calculate the surface area of the tower, this way:

Surface area of the tower = 2* (24 * 22.08) + 2 * (45.12 * 22.08) + 2 * (45.12 * 24)

Surface area of the tower = 1,059.84 + 1,992.5 + 2,165.76

<u>Surface area of the tower = 5,218.1 m²</u>

4 0

4 years ago

Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2

Vlad [161]

<em>Answer</em>

B) y = 3

<em>Step-by-step explanation</em>

Given the system of equations:

$\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}$

Isolating x from equation 1:

$\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}$

Substituting equation 3 into equation 2 and solving for y:

$\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}$

6 0

1 year ago

Which option is correct?

bogdanovich [222]

Answer:

Radius : 3 inches

Height : 2 inches

Step-by-step explanation:

$π \times (radius {)}^{2} \times (height)$

$π \times {3}^{2} \times 2$

$π \times 9 \times 2$

$9 \times π \times 2$

$18\pi$

<h3>Hope it is helpful...</h3>

3 0

3 years ago