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3 years ago

Sari drives 55 miles per hour. Which equation shows the proportional relationship between hours (h) and miles (m)?

Mathematics

1 answer:

Finger [1]3 years ago

8 0

Answer:

$m=55h$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

m ----> the distance in miles (y-coordinate)

h ----> the time in hours (x-coordinate)

In this problem the constant of proportionality k is given and is equal to

$k=55\ \frac{miles}{hour}$ ----> the speed

substitute

$m=55h$

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The beginning checkbook balance of Gregory Co. was $3,045.58. Their bank statement indicated a balance of $4,262.92. The bookkee

Alex_Xolod [135]

Answer:

$3,659.82

Step-by-step explanation:

Adding to the checkbook those debits and credits not already there brings its balance to ...

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Adjusting the bank's balance by the deposits and checks not already there brings its balance to ...

... $4262.92 +220.05 -325.50 -497.65 = $3659.82

Thus, the reconciled accounts will agree on the balance $3659.82.

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2 years ago

A car travels at a constant speed.

ad-work [718]

Answer:

see below

Step-by-step explanation:

<h3>Given</h3>

Distance is 142.2 m, correct to 1 decimal place
Time is 7 seconds, correct to nearest second

Upper bound for the speed

<h3>Solution </h3>

<em>Upper bound for the speed = upper bound for distance/lower bound for time</em>

Upper bound for distance = 142.25 m (added 0.1/5 = 0.05)
Lower bound for time = 6.5 seconds (subtracted 1/2 = 0.5)

<u>Then, the speed is:</u>

142.25/6.5 = 21.88 m/s
21.88 = 21.9 m/s correct to 1 decimal place
21.88 = 22 m/s correct to nearest m/s

4 0

3 years ago

Find the surface area of square pyramid someone help

IgorC [24]

Answer:

65 square units

Step-by-step explanation:

The base of the pyramid is 5 by 5 , surface area is 25 square units.

the side of each one is 4 units "high" and 5 long at the base and to find the are of a triangle you multiple base times height then dived by 2. Therefore each side of the triangle is 10 units square. You have 4 sides so...

40 (total of all the sides ) +25 ( base ) = 65

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2 years ago

Type the equation for the following pattern.<br> Please Help!!

mash [69]

Answer:8

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3 years ago

Read 2 more answers

Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with

yan [13]

Answer:

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

Step-by-step explanation:

Given:

Two square pyramids A and B.

Side Length of A, $s_A =$ 12 inches

Height of A, $h_A =$ 8 inches

Side Length of B, $s_B =$ 48 inches

Height of B, $h_B =$ 32 inches

To find:

How many times bigger is the volume of pyramid B than pyramid A?

$V_B$ is how many times bigger than $V_A$ ?

Solution:

First of all, let us have a look at the formula for volume of a pyramid:

$V=\dfrac{1}{3} \times \text{Area of Base} \times \text{Height}$

Here, base is square, so:

$V=\dfrac{1}{3} \times s^2 \times h$

Volume of pyramid A:

$V_A=\dfrac{1}{3} \times s_A^2 \times h_A$

$\Rightarrow V_A=\dfrac{1}{3} \times 12^2 \times 8 = 384\ inch^3$

Volume of pyramid B:

$V_B=\dfrac{1}{3} \times s_B^2 \times h_B$

$\Rightarrow V_B=\dfrac{1}{3} \times 48^2 \times 32 \\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 4^2 \times 4\\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 64\\\Rightarrow V_B= 24576\ inch^3 = 384\times 64\ inch^3\\\Rightarrow V_B = V_A\times 64\ inch^3$

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

3 0

3 years ago