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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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Riverside Elementary School is holding a school-wide election to choose a school color. 5/8 of the voters were for blue 5/9 of t
padilas [110]

Answer:

There were 180 voters for blue color.

Step-by-step explanation:

Let the total number of voters be 'x'.

Given:

Number of Voters for blue color = \frac{5}{8}x

Number of Voters for green color = \frac{5}{9}(x-\frac58x)=\frac59x(1-\frac58)

Now we will use LCM to make the denominator common we get;

Number of Voters for green color = \frac59x(\frac88-\frac58)=\frac59x(\frac{8-5}{9})=\frac59x(\frac38)=\frac{15x}{72}

Number of Voters for red color = 48

We need to find the number of voters for blue color.

Solution:

Now we can say that;

total number of voters is equal to sum of Number of Voters for blue color, Number of Voters for green color and Number of Voters for red color.

framing in equation form we get;

x=\frac58x+\frac{15x}{72}+48

Combining like terms we get;

x-\frac58x-\frac{15x}{72} = 48

Now we will make denominators common using LCM we get;

\frac{72x}{72}-\frac{5x\times9}{8\times9}-\frac{15x\times1}{72\times 1} = 48\\\\\frac{72x}{72}-\frac{45x}{72}-\frac{15x}{72} = 48

Now denominators are common so we will solve the numerators we get;

\frac{72x-45x-15x}{72}=48\\\\\frac{12x}{72}=48\\\\\frac{x}{6}=48

Now multiplying both side by 6 we get;

\frac{1}{6}x\times6=48\times6\\\\x = 288

Number of voters for blue color = \frac{5}{8}x=\frac{5}{8}\times 288= 180

Hence There were 180 voters for blue color.

4 0
3 years ago
Solve the system of equations using the linear combination method. {9x+5y=35 2x+5y=0 Enter your answers in the boxes.
Vikentia [17]
9x+ 5y=35
2x + 5y=0    |* -1

9x +5y= 35
-2x  -5y= 0
-----------------
7x /  = 35
x=35:7
x=5

2x+5y=0
2*5+5y=0
10+5y=0
5y=-10
y= -10:5
y=-2
5 0
3 years ago
Which shape could be thought of as being created by stacking congruent polygons?
weqwewe [10]

Answer:

Rectangular prism

Step-by-step explanation:

Edge 2020

3 0
3 years ago
PLEASE HELP
Studentka2010 [4]
<span>The side length for a cube 
with volume 8000cm3 = 8000^(1/3)= 20 m
Cheers,
Stan H.</span>8000=S^3<span>8000=20^3
so the answer will be B</span>
3 0
3 years ago
The product of consecutive odd integers is 575. what is the largest integer? 25 23 525 need more information
hichkok12 [17]

sqrt(575) = 23.979

so 23 is one number

575/23 = 25

 the two numbers would be 23 * 25

25 is the largest one

4 0
3 years ago
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