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3 years ago

1 hour job costs $90 A 3 hour job costs $210 What is the initial amount and hourly rate

Mathematics

1 answer:

LekaFEV [45]3 years ago

3 0

Step-by-step explanation:

i+h=90

i+3h=210

so 2h=210-90=120

h=60

and i=90-60=30

so initial amount is $30 and hourly rate is $60

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The product of two consecutive negative integers is 600. What is the value of the lesser integer?

g100num [7]

Answer:

Since is a negative number, so it is on the left of 0 on the number line. 9. ... Sum of and 8 + 8 + 8 Product of and 8 8 8 Now, the required quotient 6. ... Then smaller part (y ) toffees. ... OR Let the two consecutive natural numbers be x and x +. ... So, required number 0 0 600 Thus, 600 is the least square number which is ...

Step-by-step explanation:

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3 years ago

The standard recipe for Hershey’s chocolate is 2/9 cups cocoa and 1/6 cups milk. If Hershey’s decided to pour a total of 14 cups

kifflom [539]

Answer: There are 8 cups of cocoa and 6 cups of milk to make the standard recipe for Hershey's chocolate.

Explanation:

Since we have given that

Number of cups of cocoa is given by

$\frac{2}{9}$

Number of cups of milk is given by

$\frac{1}{6}$

Since there are total number of cups of ingredients = 14

First, we find out the ratio of cups of cocoa and milk i.e.

$\frac{2}{9}:\frac{1}{6}\\\\=12:9\\\\=4:3$

So, Number of cups of cocoa is given by

$\frac{4}{7}\times 14\\\\4\times 2\\\\=8$

Number of cups of milk is given by

$\frac{3}{7}\times 14\\\\3\times 2\\\\=6$

Hence, there are 8 cups of cocoa and 6 cups of milk to make the standard recipe for Hershey's chocolate.

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3 years ago

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Answer:

Step-by-step explanation:

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Mr. Thornton's class visited five freshwater lakes to learn more about the crocodiles and alligators living in them to class cou

Yuliya22 [10]

Given table is given below

The relationship between the number of crocodiles and the number of alligators is not proportional across all lakes. Only two of the lakes have crocodiles and alligators in the same proportion. Which two lakes are they?

lake A and lake B

lake B and lake C

lake A and lake E

lake C and lake D

Answer : lake A and lake E

Lake ---> Crocodiles ---> Alligators ---> Ratio

A ---> 4 ----> 5

B ---> 21 ---> 35

C ---> 3 ---> 9

D ---> 6 ---> 16

E ---> 24 ---> 30

The ratio of A is 4: 5

B is 21: 35 = 3 : 5

C is 3 : 9 = 1 : 3

D is 6 : 16 = 3 : 8

E is 24: 30 = 4 : 5

Lake A and E has the same ratio 4: 5

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3 years ago

X + y = 10, x - y = 0 Please solve and explain.

Slav-nsk [51]

We'll use elimination for this system of equations. What variable should get canceled? The x or y? Well to cancel, we need a positive and negative variable.

x + y = 10
x - y = 0

In this case, the y's will cancel out.
Then we will add the x's together and the 10 and 0.

x + y = 10
x - y = 0

Becomes

2x = 10

Now, solve for x. Just simply divide by 2.

2x / 2 = 10 / 2

x = 5

Now we know what the x variable is equal to!

To solve for the y variable, just replace the x variable in one of the equation and solve for y.

I'll use the x + y = 10 equation

We know x is equal to 5.

5 + y = 10

Subtract both sides by 5.

5 - 5 + y = 10 - 5

y = 5

So, both x and y are equal to 5.

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3 years ago