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erastova [34]
3 years ago
12

Carlos had to manage his inventory of veggies. He had to balance the number of carrots, c, with the number of tomatoes, t. 4c -

6t = 6 2c + 2t = 8.
How many tomatoes should he have?
Mathematics
1 answer:
malfutka [58]3 years ago
4 0
Carlos should have 1 tomato
if you solve the 2nd equation for c and plug it in you get 1
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PLEASE HELP ONLY IF RIGHT 50 POINTS AND BRAINLIEST PLUS THANK YOU AND 5 STARS. My cousin need help.
Serjik [45]

Answer:

1) Number of scoops = 42

2)Number of scoops = 10

Step-by-step explanation:

Volume of the sink = (4000/3)π in³

1)

Diameter = 4 in      ∵   Radius = 4/2 = 2 in

Height = 8 in

Volume of the cylindrical cup =  \pi r^{2}h  =  \pi 2^{2} * 8  =  32\pi in³

Number of cups of water that must be scooped out = Volume of the sink/ Volume of the cylindrical cup

= (4000/3)π / 32π    ==>  42

Number of scoops = 42

b)

Diameter = 8 in    ∵   Radius = 8/2 = 4 in

Height = 8 in

Volume of the cylindrical cup =  \pi r^{2}h  =  \pi 4^{2} * 8  =  128\pi in³

Number of cups of water that must be scooped out = Volume of the sink/ Volume of the cylindrical cup

= (4000/3)π / 128π ==> 10

Number of scoops = 10

4 0
3 years ago
Show that 2/4-x = 10/4+x<br><br> is equivalent to 12x = 32 for all values of x not equal to 4 or -4
Anika [276]

Answer:

See proof below

Step-by-step explanation:

Given the expression 2/4-x = 10/4+x

Cross multiply

10(4-x) = 2(4+x)

10(4) - 10x = 2(4)+ 2x

40 - 10x = 8 + 2x

-10x - 2x = 8 - 40

-12x = -32

Multiply both sides by -1

-1(-12x) = -1(-32)

12x = 32

This shows the required expression

6 0
3 years ago
the ratio of the sides of a certain triangle is 2:7:8 if the longest side of the triangle is 40cm how long are the other two sid
Zigmanuir [339]

The length of the other two sides is 10 and 35 respectively.

<h3>What is a ratio?</h3>

A ratio is a quantitative relation showing the comparison between two or more numbers. It can also be written in the fractional form where the first part is the numerator and the second part is called the denominator.

From the given information:

  • The sides of the triangle = 2:7:8
  • The total sides of the triangle = 2+7+8 = 17

We are being told that the longest side is the triangle is equal to 40.

i.e.

\mathbf{\to\dfrac{8}{17}\times x = 40}

\mathbf{x = 40 \div \dfrac{8}{17}}

\mathbf{x = 40 \times \dfrac{17}{8}}

x = 85

Now for the other two sides 2 and 7, their length is as follows.

\mathbf{\dfrac{2}{17}\times 85 = 10}

\mathbf{\dfrac{7}{17}\times 85 = 35}

Therefore, we can conclude that the length of the other two sides is 10 and 35 respectively.

Learn more about ratios here:

brainly.com/question/2328454

3 0
2 years ago
Order the values from least (on top) to greatest (on bottom). <br> 43%<br> 3/7 <br> 0.41
kolezko [41]
0.41 > 3/7 > 43% this is the answer
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3 years ago
Numerical expressions for add 12 to 8 then multiply by 5
OlgaM077 [116]

Answer:

(12 + 8) x 5

Step-by-step explanation:

8 0
3 years ago
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