All categories

3 years ago

Use the two graphs to help complete the statements below

Mathematics

2 answers:

IrinaVladis [17]3 years ago

4 0

A) Rate: 5 lawns per day

B) Slope: 5 lawns per day

Step-by-step explanation:

For this graph, we want to find the following ration:

$rate=\frac{change in lawns moved}{change in time}$

where

- change in lawns moved is the change in the variable along the y-axis, since the lawns moved is represented on the y-axis

- change in time is the change in the variable along the x-axis, since time is represented along the x-axis

By taking the last point in the graph (6,30) and the point (0,0), to have the most accurate measurement, we have:

t = 6 days

lawns moved = 30

Therefore, the rate is

$rate=\frac{30}{6}=5$ lawns per day

Here in graph B, similarly we want to find the slope of the curve, which is given by

$slope=\frac{\Delta y}{\Delta x}$

where

$\Delta y$ is the change in the y-variable

$\Delta x$ is the change in the x-variable

Taking the last point in the graph (6,30) and the point (0,0), in order to get the most accurate measurement, we have:

$\Delta y = 30 - 0 = 30$

$\Delta x = 6-0=6$

Therefore the slope is

$slope=\frac{30}{6}=5$ lawns per day

Learn more about slope of a graph:

brainly.com/question/4152194

brainly.com/question/12941985

#LearnwithBrainly

solmaris [256]3 years ago

4 0

Answer:

Graph A- 5

Graph B- 5

Step-by-step explanation:

You might be interested in

The difference of a number squared and the number is one less than four times the number.

Ostrovityanka [42]

The difference (subtraction) of a number (x) squared (²) and the number (x) is (=) one less than (- 1) four times (4 ·) the number (x)

x² - x = 4x - 1

7 0

3 years ago

A cosmetic company makes three bottles of scented lotion using the recipe shown. Each bottle holds a different amount of lotion.

seropon [69]

Answer:

Part 1) Bottle 1 (vanilla=1,almond=3,pineapple=4)

Part 2) Bottle 2 (vanilla=2,almond=6,pineapple=8)

Part 3) Bottle 3 (vanilla=1 1/2,almond=4 1/2,pineapple=6)

Step-by-step explanation:

Let

x ----> the amount of vanilla sent

y ----> amount of almond sent

z ----> the amount of pineapple sent

we know that

$x:y:z=\frac{1}{8}:\frac{3}{8}:\frac{1}{2}$

$\frac{x}{y}=\frac{1}{8}:\frac{3}{8}$

$\frac{x}{y}=\frac{1}{3}$

$x=\frac{y}{3}$ -----> equation A

$\frac{x}{z}=\frac{1}{8}:\frac{1}{2}$

$\frac{x}{z}=\frac{1}{4}$

$x=\frac{1}{4}z$ -----> equation B

$\frac{y}{z}=\frac{3}{8}:\frac{1}{2}$

$\frac{y}{z}=\frac{3}{4}$

$y=\frac{3}{4}z$ -----> equation C

Part 1) Bottle 1

vanilla=?

almond=?

pineapple=4

we have

$z=4$

Find the value of x

substitute the value of z in equation B

$x=\frac{1}{4}(4)$

$x=1$

Find the value of y

substitute the value of z in equation C

$y=\frac{3}{4}(4)$

$y=3$

therefore

Bottle 1

vanilla=1

almond=3

pineapple=4

Part 2) Bottle 2

vanilla=?

almond=6

pineapple=?

we have

$y=6$

Find the value of x

substitute the value of y in equation A

$x=\frac{6}{3}=2$

Find the value of z

substitute the value of x in equation B

$2=\frac{1}{4}z$

solve for z

$z=8$

therefore

Bottle 2

vanilla=2

almond=6

pineapple=8

Part 3) Bottle 3

vanilla=1 1/2

almond=?

pineapple=?

we have

$x=1\frac{1}{2}$

convert to an improper fraction

$x=1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}$

Find the value of y

substitute the value of x in equation A

$\frac{3}{2}=\frac{y}{3}$

$y=\frac{9}{2}$

convert to mixed number

$y=\frac{9}{2}=\frac{8}{2}+\frac{1}{2}=4\frac{1}{2}$

Find the value of z

substitute the value of x in equation B

$\frac{3}{2}=\frac{1}{4}z$

$z=6$

therefore

Bottle 3

vanilla=1 1/2

almond=4 1/2

pineapple=6

5 0

2 years ago

Read 2 more answers

Lakshmi donates 20% of her income to charity. What fraction of her income does Lakshmi donate to charity?

777dan777 [17]

1/5

Hope this helps :)

5 0

3 years ago

Tanya runs a catering business. Based on her records, her weekly profit can be approximated by the function LaTeX: f\left(x\righ

Shtirlitz [24]

The function

$2x^2-44x-150$

is a parabola concave up, whose solutions are

$2x^2-44x-150=0 \iff x^2-22x-75=0$

from here, you can use the quadratic formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

to find that the solutions of the parabola are $-3,\ 25$

So, the parabola is positive if $x$ (which wouldn't make sense in our case) or $x$

So, if Tanya caters 25 meals she breaks even, and starting with the 26th meal she will begin to profit.

4 0

3 years ago

A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic met

ivanzaharov [21]

Answer:

2880

Step-by-step explanation:

V=whl=12·12·20=2880

3 0

2 years ago