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lozanna [386]
3 years ago
15

The Spanish club is arranging a trip to a Mexican restaurant in a nearby city. Those who go

Mathematics
1 answer:
Hoochie [10]3 years ago
7 0

Answer:

20 people

Step-by-step explanation:

well we know that only going to the restaurant every person must pay $7

so we have only $3 extra

those 3 dollars times the number of people must give 60 dollars

3x=60\\\\\frac{1}{3} *3x=\frac{1}{3} *60\\\\x=20

so 20 people must go, to pay only $10

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Harlamova29_29 [7]

Answer:

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Step-by-step explanation:

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2 years ago
What is -3/4 + 3/8? Thanks.
AURORKA [14]

Answer:

-  \frac{3}{8}

Step-by-step explanation:

First, we change both denominators to the LCM (lowest common multiple) which is 8.

-  \frac{3}{4}  +  \frac{3}{8}  =  -  \frac{6}{8}  +  \frac{3}{8}

Since the denominators are the same, we can add the numerators.

\frac{ - 6 + 3}{8}

\frac{ - 3}{8}

or it can be written as

-  \frac{3}{8}

7 0
3 years ago
Read 2 more answers
Terry and Bob each have an aquarium. Terry’s aquarium is 14 cm long, 12 cm high, and 10 cm wide. Bob’s aquarium is 13 cm long, 1
MArishka [77]

Find the volume of each tank by multiplying the length by the width by the height:

Terry: 14 x 12 x 10 = 1680 cubic cm.

Bob: 13 x 15 x 8 = 1560 cubic cm

Terry’s aquarium is larger and can hold more water.

8 0
3 years ago
Solve for y in terms of x.
krek1111 [17]

<u>Answer:</u>

y=\frac{3}{2} x+6

<u>Step-by-step explanation:</u>

We are given the following equation and we are supposed to solve y in terms of x. It simpler terms, it means that we have to make y the subject of the equation while x being used in it as it is:

\frac{2}{3} y-4=x

Taking the constant 4 to the side where x is to get:

\frac{2}{3} y=x+4

Multiplying the denominator 3 to the other side of the equation to get:

2y=3x+12

Isolating y to make it the subject:

y=\frac{3}{2} x+\frac{12}{2}\\ \\y=\frac{3}{2} x+6

3 0
3 years ago
Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per we
Allushta [10]

Part a) Use a system of inequalities to model the scenario

Let

x-------> represent babysitting hours

y-------> represent tutoring hours  

we know that

--------> inequality    

--------> inequality  

Part b) Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week

we know that

--------> inequality  

This inequality represent Jeanne’s possible number of hours worked this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N  

--------> inequality    

This inequality represent Jeanne’s probable income earned this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N  

Part c) Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model

we have the system of inequalities

--------> inequality  

--------> inequality  

the solution of the system of inequalities is the shaded area

using a graph tool

see the attached figure N  

Let

------> see the attached figure N  

The point belongs to the shaded area, so it is a system solution.

If the point is a solution, it must satisfy both inequalities.

Prove algebraically

substitute the value of x and y in the inequalities

inequality  

------> is ok

inequality  

-------> is ok

the point A satisfy both inequalities

therefore

the point A is a solution of the system

5 0
3 years ago
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