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3 years ago

Can Someone please explain also

Mathematics

1 answer:

IRINA_888 [86]3 years ago

4 0

Answer:

y = 1/4x -10

Step-by-step explanation:

The equation would be y = 1/4x -10

we know that we have to set the equation up as y=mx+b

m being slope and b being y-intercept

we can see on the graph that the line intercepts the y-axis at -10, so that would be b

for slope, you can just look and count rise over run so:

it goes 10 up and 40 over which equals 10/40 also known as 1/4

hope that helped :)

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What is the perimeter of the rectangle? Area =33 sq m, width=3 , length=???

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Answer:

the length = eleven meters.

Step-by-step explanation:

area divided by width.

33/3 = 11.

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3 years ago

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3 years ago

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The high school took two field trips to the Newport Aquarium many many years ago. They used school buses and vans to transport a

il63 [147K]

Answer:

bus = 43

van 12

Step-by-step explanation:

This can be solved using simultaneous equations

Let v represent the number of students that a van carries

Let b represent the number of students that a bus carries

the following equations can be derived from the question

3v + 2b = 122 eqn 1

5v + 3b = 189 eqn 2

Multiply eqn 1 by 5 and eqn 2 by 3

15v + 10b = 610 eqn 3

15v + 9b = 567 eqn 4

Subtract equation 4 from 3

b = 43

Substitute for b in equation 1

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5 0

3 years ago

Deja has two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries

ElenaW [278]

Answer:

(b) The number of pounds of berries each person would receive is $1\frac{5}{8}$ pounds.

Step-by-step explanation:

The amount of berries in first basket = 3 3/8 pounds

Now, $3\frac{3}{8} = 3+\frac{3}{8} = 3 + 0.375 = 3.375$

So, the amount of berries in first basket = 3.375 pounds

The amount of berries in second basket = 2 7/8 pounds

Now, $2\frac{7}{8} = 2+\frac{7}{8} = 2 + 0.875 = 2.875$

So, the amount of berries in second basket = 2.875 pounds

Now, the total berries = Berries in ( First + Second) basket

= 3.375 pounds + 2.875 pounds

= 6.25 pounds

So, the number of pounds each person would have = $\frac{\textrm{Total weight of viable berries}}{\textrm{4}} = \frac{6.25}{4} = 1.5625$

Now, $1.5625 = 1 + 0.5625 = 1 + \frac{5625}{10000} = 1 + \frac{5}{8} = 1\frac{5}{8}$

So, the number of pounds of berries each person would receive is $1\frac{5}{8}$ pounds.

7 0

3 years ago

Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The

Soloha48 [4]

a = interest rate of first CD

b = interest rate of second CD

and again, let's say the principal invested in each is $X.

$\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\$

$\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft$

$\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft$

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3 years ago