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jeka57 [31]
3 years ago
14

Jeff is responsible for buying supplies of food and medication for the dogs and cats at a local shelter. The food and medication

for a dog cost twice as much as for a cat. He needs to provide supplies for 164 cats and 24 dogs, and his budget is $4,240. How much can he spend on each dog for food and medication?
Mathematics
1 answer:
Maru [420]3 years ago
5 0
164x + 24(2x) < = 4240
164x + 48x < = 4240
212x < = 4240
x < = 4240/212
x < = 20

for a dog.....2x = 2 * 20 = 40.....so it costs 40 per dog and 20 per cat
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Y2-y1/x2-x1

Step-by-step explanation:

The rate of change is the same thing as slope. So you would do the same thing as you would for slope.

Ex. you have two coordinate points. (4,4) (5,9)

y2 would be 9

y1 would be 4

x2 would be 5

x1 would be 4

so you would do 9-4=5

then 5-4=1

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7 0
3 years ago
Find the volume of the garden shed
Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}

<h3><u>Volume of a pyramid</u></h3>

<u />

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.  

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}

Therefore:

\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}

<h3><u>Volume of the garden shed</u></h3>

\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}

6 0
1 year ago
Read 2 more answers
Given the inequality below:<br><br> 3x-y&gt;4<br><br> Which is the graph of the solution set?
OLga [1]

Answer:

A shaded region below a dashed line (y <3x-4)

Step-by-step explanation:

For linear inequalities, we have shaded regions below or above a dashed or solid or continuous line represented by an inequality.

Their graphs are called region graphs. Those regions are only enclosed ones if before the sign of inequality it is included both variables. Like x²+y²<1, |x+y|<1, etc.

In this case what we have here is an open region, as the graph below shows.

3x-y>4 =-y>4-3x∴y<3x-4

Setting a value for x

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(4/3,0)

6 0
3 years ago
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aniked [119]
V=u + at
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6 0
2 years ago
Please need help on this
zimovet [89]

Answer:

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Step-by-step explanation:

To find the answer, you would need to divide the numbers 8550405(people) and 1213.4(kilometers) <--- which where this came from.

Once you divide those numbers, you will directly get the number 7047 as your answer.

<h2>Please Mark me as brainly! Thank You!</h2>
4 0
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