Can you please help with expression and equations

Taxi company charges $ 8.00 to get into the cab and $ 0.75 per mile. Taxi company B charges $ 6.00 to get into a cab and $ 1.25

7nadin3 [17]

Answer:

50 miles

Step-by-step explanation:

Let the miles traveled be x when cost for both taxi A and Taxi B is same

Lets calculate for Taxi A

charge to get in cab = $8

cost of traveling 1 mile = $ 0.75

cost of traveling for x miles = x * cost of traveling 1 mile= $ 0.75x

Total cost for traveling x miles = charge to get in cab +cost of traveling for x mile

Total cost for traveling x miles in Taxi A = $8 + $ 0.75x

______________________________________________

Lets calculate for Taxi B

charge to get in cab = $3

cost of traveling 1 mile = $ 1.25

cost of traveling for x miles = x * cost of traveling 1 mile= $ 1.25x

Total cost for traveling x miles = charge to get in cab +cost of traveling for x mile

Total cost for traveling x miles in Taxi B= $3 + $ 1.25x

As we have to find distance when cost for both is same

Thus

Total cost for traveling x miles in Taxi A=Total cost for traveling x miles in Taxi B

8 + 0.75x = 3 + 1.25x

8 - 3 = 1.25x - 0.75x

5 = 0.5x

x = 5/0.5 = 50

Thus, you must travel 50 miles so that cost in both the taxi A and Taxi B is the same

5 0

4 years ago

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Two angles are supplementary angles if the sum of their measures is 180°. find two supplementary angles such that the measure o

suter [353]

Let the second angle be x.

Second angle = x
First angle = 3x - 6

The sum of the two angles is 180°
x + 3x - 6 = 180
4x - 6 = 180
4x = 186
x = 186 ÷ 4 = 46.5°

Second angle = 46.5°
First angle = 3(46.5) - 6 = 133.5°

Answer: The angles are 46.5° and 133.5°

7 0

3 years ago

Find the value of a if 3x+ay=6

Akimi4 [234]

I guess =ay=6-3x= ay/y=6-3x/y= a=6-3x/y

6 0

3 years ago

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What is the solution set for the inequality 4−5g > 39 Question 3 options: g < −7 g>7 g<7 g > −7.

neonofarm [45]

Answer:

g < -7

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

*Note:

When dividing or multiplying both sides of the inequality by a negative, flip the inequality sign.

Step 1: Define

Identify.

4 - 5g > 39

Step 2: Solve for g

[Subtraction Property of Equality] Subtract 4 on both sides: -5g > 35
[Division Property of Equality] Divide -5 on both sides: g < -7

∴ any number g less than -7 would work as a solution to the inequality.

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Topic: Algebra I

Unit: Inequalities

8 0

3 years ago

jenny charges $9.15 an hour to babysit toddlers and $7.45 an hour to babysit school-aged children, if jenny babysat toddlers for

choli [55]

The total money earned by Jenny is $\boxed{\bf \$\ 127.05}$ .

Further explanation

Multiplication is a arithmetic operation such that two real numbers are performed in such a way that they derive a third number called product.

Procedure used:

The following steps are involved to find the value of $y\text{ unit}$ where $y$ is any real number.

1) If one unit is equal to $x$ then multiply $y$ with $x$ .

2) The resultant number would be $xy$ is the value of $y\text{ unit}$ .

Given:

Jenny charges $\$\ 9.15$ an hour to babysit toddlers and $\$\ 7.45$ an hour to babysit school-aged children. She babysat toddlers for $9\text{ hours}$ and school aged children for $6\text{ hours}$ .

Calculation:

Step 1: Jenny earns through babysit toddlers.

If jenny charges $\$\ 9.15$ an hour to babysit toddlers and she does this job for $9\text{ hours}$ .

The earning money from babysit toddlers using above procedure can be calculated as follows:

$\begin{aligned}a&=9.15\cdot 9\\&=82.35\end{aligned}$

Therefore, jenny earns $\$\ 82.35$ by babysit toddlers.

Step 2: Jenny earns through school aged children.

If jenny charges $\$\ 7.45$ an hour to babysit school aged children and she does this job for $6\text{ hours}$ .

The earning money from babysit school aged children using above procedure can be calculated as follows:

$\begin{aligned}b&=7.45\cdot 6\\&=44.7\end{aligned}$

Therefore, Jenny earns $\$\ 44.7$ by babysit school aged children.

Step 3: Total amount earn by Jenny.

The total earning is the sum of earning through babysit toddlers and babysit school aged children.

The total earning is calculated as follows:

$\begin{aligned}\text{Total money}&=82.35+44.7\\&=127.05\end{aligned}$

Thus, total money earned by jenny is $\boxed{\bf \$\ 127.05}$ .

Learn more

1. Problem on the whole numbers are positive integers brainly.com/question/1852063.

2. Problem on the adding and simplifying the numbers brainly.com/question/894273.

3. Problem on the general form of the equation of the circle brainly.com/question/1506955.

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Multiplication

Keywords: Jenny, babysit, toddlers, school aged children, hour, multiplication, addition, total earning, real numbers, unit, sum, operation, money.

5 0

3 years ago

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