- Ms. Ali needs to have her car repaired but does not want to spend more than $225
for the repairs. The mechanic says that the part needed for the repair will cost $78,
and that labor will cost an additional $35 per hour. Which inequality below
represents the greatest number of hours the mechanic can work without exceeding
Ms. Ali's budget? Use the steps below to solve. Then, HIGHLIGHT YOUR ANSWER.
a. 225 - 35x < 78
b. 35x + 78 > 225
c. 35 + 78x ≤ 225
d. 35x + 78 ≤ 225

Answer:

Two possible equations:

[tex]y = x + 1\\y = x - 5\\[/tex]

The system has 0 solution as parallel lines never cross each other.

Step-by-step explanation:

Considering the two lines are parallel, they both have the same slope.

let m be the slope of the two lines:

[tex]y = mx + y_{0}\\y=mx+y_{1}[/tex]

[tex]y_{0}, y_{1}[/tex] are the value on y axis where the two lines cross the axis.

Because the lines are parallel, there exists no point that lies on both lines, therefore the system has 0 solution.

The system of equations that represents Candace's and Amar's combined money is c + a = 85.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Candace has $15 more than Amar.

Assuming Amar has $a.

∴  Candace(c) has $(x + 15).

Their combined money totals $85.

So, the equation that represents their combined money is

x + (x + 15) = 85 or a + c = 85.

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Answer:

i would be -2

Step-by-step explanation:

-25p-2=48

      +2 +2

-25p=50

p=-2

Answer:

-2

Step-by-step explanation:

Add 2 to both sides

-25p = 50

Divide both sides by -25

p = -2

Answer:

-13

Step-by-step explanation:

Answer:

-2.3d+2.5h-16

hope its right

Answer:

I. Volume = 301.6 cm³ (to 1d.p)

II. CSA = 188.5 cm² (to 1d.p)

Step-by-step explanation:

Given the following data;

Height, h = 8cm

Radius, r = 6cm

Curved length = 10cm

a. To find the volume of the cone

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

Substituting into the equation, we have;

[tex] Volume = \frac{1}{3} * 3.142*6^{2}*8 [/tex]

[tex] Volume = \frac{1}{3} * 3.142*36*8 [/tex]

[tex] Volume = 3.142*12*8 [/tex]

Volume = 301.6 cm³ (to 1d.p)

b. The curved surface area of the cone

[tex] CSA = \pi rl[/tex]

Where;

Substituting into the equation, we have;

[tex] CSA = 3.142*6*10 [/tex]

CSA = 188.5 cm² (to 1d.p)

Answer:

Answer:

A.

Step-by-step explanation:

take 17 *3/4 and get 12.75 which is 12 3/4 as a fraction

Answer:

G. 7(200)+7(10)

Step-by-step explanation:

First, you would multiply 200 by 7

Once you do that you should get 1400

After that you mulitply 7 by 10

You should get 70

Add 1400 by 70 and there you go your answer 1,470

Answer:

7(200)+7(10)

Step-by-step explanation: it is quite simple.first you look at the number out side of the () and that is the first number of your answer.then you look at the other number and split it into the 100 place and the tenth place.finally you know it is G because you have to have the () in the answer so it is G.

i hope this helped

Answer:

x=3 y=4

Step-by-step explanation:

5(4)=20

4(3)= 12

20-12=8

4+3=7

Answer:

5

Step-by-step explanation:

hope this helps

Answer:

hey there!!!

Step-by-step explanation:

i think the best option is acute and isosceles from my view

hope it helps you...

Answer:

-3x-7

Step-by-step explanation:

Combine Like Terms:

=−3x+−6+−1

=(−3x)+(−6+−1)

=−3x+−7

Answer:

D. 11

Step-by-step explanation:

Add all the numbers and divide by 4

Answer:

150

Step-by-step explanation:

i think if its wrong im

Answer:

yes

Step-by-step explanation:

2 is 2/3 of 3

60 is 2/3 of 90

so on...

Answer: x( 1 - 0.10x)

Step-by-step explanation:

Answer:

28, 29, 31, 32

Step-by-step explanation:

the number of workers he normally has + the number of extra workers he hires for harvesting = total number of employees

so 26+b=c

Answer:

18 miles

Step-by-step explanation:

1.5 hours is 90 minutes

10 goes into 90 nine times,

2x9=18

Answer:

60 adults

Step-by-step explanation:

if you incress it all using cool math you get

3:7

6:14

whitch leads to 45:105

60:140

add 60 and 140 and you get 200

Answer: $8.70 i think

Step-by-step explanation:

Answer:

$2.7

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

I did the test and got it right. :)

The correct is C = Multiply the first equation by 2 and the second equation by 3.

The elimination method exists utilized to solve a system of linear equations. It is the most widely used and simple method as it concerns fewer calculations and steps. In this manner, we eliminate one of the two variables and test to solve equations with one variable.

if we'll multiply the first equation by 2 and second by 3 we will be able to solve the equation by elimination.

(-3x+2y=16) X 2 = -6x + 4y = 32

(2x+5y=21) X 3 = 6x + 15y = 63

the coeffients of x gets cancelled out on adding the new equations

4y+ 15y = 32+ 63

19y = 95

y= 95/19

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Answer:

22

Step-by-step explanation:

22

2(8)+6=22

Since f(x) which is x =8

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Answer:

B.) 9 in.

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 12^2 = 15^2

a^2 + 144 = 225

a^2 = 225 - 144

a^2 = 81

√a^2 = √81

a = 9

Answer:

2

Step-by-step explanation:

3 * n = 6

/3         /3

n = 2

Answer:

[tex]\sqrt{170}[/tex]

Step-by-step explanation:

(x2 - x1)^2 + (y2-y1)^2 = c^2

(6 - - 5)^2 + (-3 - 4)^2 = c^2

121 + 49 = c^2

170 = c^2

[tex]\sqrt{170}[/tex] which is about 13.04

Answer:

It's around 459. So 460 if need to round

Step-by-step explanation:

So, 40 randomly chosen people do not represent  the whole school, but using the ratio 27:40 you are given in the equation, you can divide the number of students (680) by the surveyed students (40) to get 17. What this means is there is 17 groups of 40 in the school, so to distribute the amount of people who are in a after-school activity, you must multiply 17 x 27 to get the assumption of about 459 kids. Hopefully you understand =)

Answer:

The first plant manufactures 2x + 21 more items daily.

Step-by-step explanation:

Given that:

Production level of plant one = 7x + 19

Production level of plant two = 5x -2

To find the number of items first plant manufactures more than second plant, we will find the difference between production levels.

Difference = (7x + 19) - (5x - 2)

Difference = 7x + 19 - 5x + 2

Difference = 2x + 21

Hence,

The first plant manufactures 2x + 21 more items daily.