What is the coordinate of point A?

Answer:

Ms. Martinez =  Tom received $115, $75 to mulch the yard and $40 for a yard cleanup.

Step-by-step explanation:

Tom made $405 for the week from his three clients

Mr. Hansen paid Tom $125

Mrs. Johnson paid Tom $165

405-165-125=115

Ms. Martinez paid Tom $115, which meant that he would have cleaned the yard ($40) and mulch the yard ($75)

The unit amount and time for each service offered by Tom can be represented as equations. The conclusion from the given parameters are:

Given that:

Cost

[tex]\$40 \to[/tex] Yard cleanup

[tex]\$50 \to[/tex] Mowing a lawn

[tex]\$75 \to[/tex] Mulching a yard

Time

[tex]2\ hrs \to[/tex] Yard cleanup

[tex]40\ mins \to[/tex] Mow a lawn

[tex]2\ hrs \to[/tex] Mulching a yard

[tex]Total\ Earnings = \$405[/tex]

From the question, we understand that:

[tex]Mr.\ Hansen = \$125[/tex]

Recall that:

[tex]\$50 \to[/tex] Mowing a lawn

[tex]\$75 \to[/tex] Mulching a yard

Add up:

[tex]\$50 + \$75 = 125[/tex]

This means that Mr. Hansen paid $125 to mow a lawn and to mulch a yard.

[tex]Mrs.\ Johnson= \$165[/tex]

Recall that:

[tex]\$40 \to[/tex] Yard cleanup

[tex]\$50 \to[/tex] Mowing a lawn

[tex]\$75 \to[/tex] Mulching a yard

Add up:

[tex]\$40 + \$50 + \$75 =\$165[/tex]

This means that Mrs. Johnson paid $165 for the three services

The amount paid by Ms. Martinez is calculated as follows:

[tex]Mr.\ Hansen + Mrs.\ Johnson + Ms.\ Martinez = Total\ Earnings[/tex]

Substitute known values

[tex]\$125 + \$165 + Ms.\ Martinez = \$405[/tex]

[tex]\$290 + Ms.\ Martinez = \$405[/tex]

Collect like terms

[tex]Ms.\ Martinez = \$405 - \$290[/tex]

[tex]Ms.\ Martinez = \$115[/tex]

This means that Ms. Martinez paid $115

Recall that:

[tex]\$40 \to[/tex] Yard cleanup

[tex]\$75 \to[/tex] Mulching a yard

Add up

[tex]\$40 +\$75 = \$115[/tex]

This means that Ms. Martinez paid $115 for a yard cleanup and to mulch a yard.

Read more about equations at:

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Answer:

1 = YES

2 = NO

Answer:

-1/2

Step-by-step explanation:

(-1/4)/(1/2)=-1/2

Answer:

-3/4

Step-by-step explanation:

slope of given line:

4y=-3x+8

y=-3/4 *x+8

m=-3/4

parallel lines have equal slopes so required slope is -3/4

Answer:

$54.00

Step-by-step explanation:

area of balcony= length * width

area= 3*9

area= 27 sq.feet

cost of 1 sq.feet=$2.00

cost of 27 sq.feet= $2.00*27

cost of 27 sq.feet= $54.00

Answer:

Step-by-step explanation:

The probability of breakdown

Concrete mixer is 1/4, dumper 1/6, and hoist 1/8.

1. All machines breakdown.  

1/4 +1/6 + 1/8 = 13/24

2. 2 machines break down

CM and D 1/4 + 1/6 = 5/12

CM and H 3/8

D and H 7/24

Answer:

The answer is C

Step-by-step explanation:

The line graph shows the line going right so it greater than or >. The circle is not colored in so there is no line under the greater than sign > so answer is C

Answer: a=6 and b=2

Step-by-step explanation:

Let say A and b the 2 numbers.

[tex]\dfrac{a}{b} =\dfrac{3}{1} \Longrightarrow\ a=3b\\\\\dfrac{a^2+b^2}{a-b} =\dfrac{10}{1} \Longrightarrow\ (3b)^2+b^2=10*(3b-b)\\\\\Longrightarrow\ 10*b^2=10*2b\\\\\Longrightarrow\ b=2\\\\\Longrightarrow\ a=6\\\\[/tex]

Answer:

z° = 135°

Step-by-step explanation:

The measure of the interior angle is 135°. The sum of the measures of its interior angles is 1080°.

I hope I helped you^_^

Answer:

a) greater than 20

b) 20 is the estimate (round all the three other numbers and add, then subtract from 80 because 20, the average, times the four meetings is 80)

c) You can check your estimate by adding all of the numbers and subtracting the answer by 80. 18 + 17 + 21 = 56. 80 - 56 = 24

24 is closer to 20 than 30, so our estimate is correct.

Step-by-step explanation:

8:12 is 2/3 and so is 16:24, 2:3, and 20:30

Step-by-step explanation:

For example (includes simplified problem solving),

8 ÷ 4 = 2

12 ÷ 4 =3

You would want to divide the numerator and denominator by the greatest common factor (GCF)

The ratio 8:12 can be reduced to its lowest terms by dividing both terms by the GCF

Therefore 8:12 is 2:3

Answer:

Concept:

When encountering questions that ask for simplifying expressions through operation, following the PEMDAS method would be easier:

Therefore, the whole process of simplifying the given expression should follow the PEMDAS method. For extra, whenever there are two occurences of the same operation, then prioritize the leftmost and go right.

Hope this helps!! :)

Please let me know if you have any questions or need further explanation

Answer:

It's the second graph, I circled it in blue

Answer: C = $37.5

Step-by-step explanation:

Given information

Price of one ticket = $8.50

Convenience fee = $3.50

Number of tickets = 4

Given expression

C = 8.50t + 3.50

Substitute the value of the ticket into the expression

C = 8.50 (4) + 3.50

Simplify by multiplication

C = 34 + 3.5

Simplify by addition

C = $37.5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

z=  2 - 3i

      1 + i

Step-by-step explanation:

I'm not sure but hope it helps.

Answer:

okay

Step-by-step explanation:

Answer:

The full scholarship fund will be 4000

Step-by-step explanation:

When doing these types of problems I like to do this.

1500 ÷ 3 = 500 (We do this because you want to find out what 1/8 is)

Since 500 is 1/8 of the part, all you have to do is multiply 500 by 8

500 × 8 = 4000

Answer:

product is the result of multiplication or an expression that identifies factors to be multiplied..

The product of the given expression (7x²)(2x³ + 5)(x² - 4x - 9) is,

[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex]

The product between expressions can be defined as the outcome or result obtained by multiplying two or more numbers, terms, or quantities together. It represents the combined value or the total when multiple factors are multiplied.

The given expression is,

(7x²)(2x³ + 5)(x² - 4x - 9)

Multiplying the first two expressions,

[tex](7 \times 2 x^{2+3} + 7\times 5x^2)(x^2 -4x -9)\\(14 x^5 + 35 x^2)(x^2 -4x -9)\\[/tex]

Now again multiplying these two expressions

[tex]14x^{5+2} - 4 \times 14 x^5 - 14 \times 9 x^5 + 35x^{2+2} - 35 \times 4x^{2+1} - 35 \times 9 x^2[/tex]

Simplifying this we get,

[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex]

Hence,

The product of the given expression is,

[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex] .

Learn more about the mathematical expression visit:

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#SPJ4

====================================================

Explanation:

Refer to the diagram below. The rectangle MATH has the diagonal MT that cuts the rectangle into two identical right triangles.

We then use the pythagorean theorem to find the length of the hypotenuse MT.

a^2 + b^2 = c^2

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

c^2 = 676

c = sqrt(676)

c = 26

Segment MT is 26 cm long.

This applies to the other diagonal AH as well.

Answer:

[tex]thank \: you[/tex]

Answer: x = 11

Step-by-step explanation:

Given

4 (x - 1) = 2 (x + 9)

Expand parentheses and apply the distributive property

4x - 4 = 2x + 18

Subtract 2x on both sides

4x - 4 - 2x = 2x + 18 - 2x

2x - 4 = 18

Add 4 on both sides

2x - 4 + 4 = 18 + 4

2x = 22

Divide 2 on both sides

2x / 2 = 22 / 2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

24=40/100×x

Step-by-step explanation:

i think the equation is

24=40/100×x

24 is equal to 40 percent of a number which I have represented by x

I hope this helps

Hi

P(C) is first B then C

so P ( B) = 0.4

event C is 0.2 also P( C) = 0.4 x 0.2 = 0.08

Answer:

What is question? surface area of upright part of cylinder is approx 314 sq yd.  Surface area of entire cylinder is approx 471 sq yd, which isn't a choice.

Step-by-step explanation:

Assuming you're looking for surface area of cylinder (since answers are in sq units), you would need to find the area of the top and bottom circles, and the rectangle made by flattening out the upright part of cylinder.

Area of a circle is πr^2 so area of bottom is 25π and of both circles is 50π which equals approx 157.08 sq yd.

The rectangle formed from the upright part would have a width of 10 yds and a length equal to circumference of the circle.  Since C = πd, C is approx 31.4yd.  A = l x w so A = 31.4 x 10 or approx 314 sq yd.

Answer:

7.50$

Step-by-step explanation:

49.98÷100=0.4998=1%

0.4998×15= 7.497 which is 15%of their bill

Answer:

Step-by-step explanation:

Let the volume of used water is x.

We have:

Correct choice is B

Answer: 62°

Step-by-step explanation:

Total angle in a triangle = 180°

40° + 78° + < N = 180°

118° + <N =180

<N = 180 -118

<N=62°

y=4th qrd -6 ¡5 f= 3rd qrd 3 and ¡3

a) Since division by zero is undefined, we have that

[tex]13-x\neq0\Leftrightarrow x\neq13[/tex]

In interval notation

[tex]D=( -\infty ,13) \cup ( 13,\infty )[/tex]

b) Since a square root of a negative number is undefined over the Reals, we have that

[tex]9+x\geqslant 0\Leftrightarrow x\geqslant -9[/tex]

In interval notation

[tex]D=[-9,\infty )[/tex]

c)Since division by zero is undefined, we have that

[tex]2x+1\neq 0\Leftrightarrow 2x\neq -1\Leftrightarrow x\neq -\frac{1}{2}[/tex]

In interval notation

[tex]D=\left( -\infty ,-\frac{1}{2}\right) \cup \left( -\frac{1}{2} ,\infty \right)[/tex]

d) Since a square root of a negative number is undefined over the Reals, we have that

[tex]4x-3\geqslant 0\Leftrightarrow 4x\geqslant 3\Leftrightarrow x\geqslant \frac{3}{4}[/tex]

In interval notation

[tex]D=\left[\frac{3}{4} ,\infty \right)[/tex]

Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

24000

Step-by-step explanation:

instead of 20000 you've got to round the no before it then you'll know your answer as 24000

E

Step-by-step explanation:

cause it the best estimate of a value of an unknown parameter and E describes it best