David begins the summer with a savings of $54.00 more than Fatima. David’s job
pays $8.25 per hour. Fatima’s job pays $9.75. If they both work the same amount of
time each day, how many hours of work will it take David to have as much money as
Fatima? Write an inequality and then solve.

Answers

Answer 1

Answer:

36 hours (1 1/2 days, 351$ )

Step-by-step explanation:

create a linear system and solve.

8.25x + 54 = 9.75x

_______________

-8.25x -8.25x

_______________

54 = 1.5x

_______________

1.5 x = 54

_______________

÷ 1.5. ÷1.5

_______________

x = 36.

if you want to know how much money they will have at this time, just substitute the x value that you solved for back into the equation

x = 36 -> 8.25(x) + 54 = 9.75(x)

8.25(36) + 54 = 9.75(36)

297 + 54 = 351

351 = 351

________________________________

David's budget >= 54$

Fatima's budget >= 0$

Answer 2

The required inequality is 8.25x + 54 = 9.75x

It will take 36 hours for David to have as much as Fatima.

David :

Initial saving = 54

Pay per hour = $8.25

Fatima :

Pay per hour = $9.75

Let number of hours worked = x

David's total = $8.25x + 54

Fatima's total = 9.75x

In other to have the same amount :

8.25x + 54 = 9.75x

Collect like terms :

8.25x - 9.75x = - 54

-1.5x = - 54

x = - 54 / - 1.5

x = 36

Hence, it will take 36 hours for David to have as much as Fatima.

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Related Questions

You are trying to find the distance AB between two points on either side of a river. You
measure the following distance:

Answers

Answer:32ft

Step-by-step explanation: I missed this as well, ED and AB are the same and if you don’t read you skip over the fact ED equals 32ft. Since ED and AB equal eachother it would be 32ft

The value of AB = 32 feet

What is congruency ?

Congruent shapes are shapes that are exactly the same. The corresponding sides are the same and the corresponding angles are the same.

Given:

EC= 32 ft = BC

DC= 28 ft =AC

<ECD= <BCA

So, In ΔECD and ΔBCA

EC = BC

DC= AC

<ECD= <BCA

Thus, by SAS ΔECD ≅  ΔBCA

Hence, by CPCT : ED= BA = 32 ft.

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Combined Variation:

The safe load for a horizontal beam supported at both ends varies
jointly as the width and the square of its depth and inversely as
the distance between the supports. If a 4 cm by 6 cm beam,
10 m long supports 5 kg when standing on the edge, what is the
safe load if the beam is turned on its side?

Answers

Answer:

The formula would be

wd^2c/l = p

(2*1^2c)/4 = 10

(2*1c)/4 = 10

2c/4 = 10

c = 20

3*2^2*20/6 = p

3*4*20/6 = p

240 pounds

hope it help :)

Step-by-step explanation:

The safe load if the beam is turned on its side will be 240 pounds.

What is a load?

A burden or pressure source that is carried by someone or something. Construction loads are defined as the weights placed on an existing or temporary structure both during and after the construction process.

Given that the safe load for a horizontal beam supported at both ends varies jointly with the width and the square of its depth and inversely with the distance between the supports. If a 4 cm by 6 cm beam, 10 m long supports 5 kg when standing on the edge,

The load will be calculated by using the formula below:-

wd²c/l = p

(2 x( 1 ) ²c)/4 = 10

(2x 1c)/4 = 10

2c/4 = 10

c = 20

3 x ( 2 )²x ( 20/6 ) = p

3 x 4x ( 20/6 ) = p

p = 240 pounds

Therefore, the safe load if the beam is turned on its side will be 240 pounds.

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Select all that apply. The number -2 is a...
A: Natural Number
B Whole Number
C Integer
D Rational Number
E Irrational Number
F Real number

Answers

Answer:

it is an integer

Step-by-step explanation:

bc it's -3

I need help with this

Answers

Answer:

3 weeks.

Step-by-step explanation:

Answer:

3 weeks

Step-by-step explanation:

Hope this helps

Explain how to divide an integer by a decimal

Answers

Answer:To divide decimal numbers: Multiply the divisor by as many 10's as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10's.

Step-by-step explanation:

- |4x+10|-7=-14 solve for x

Answers

Answer:I forgot how to solve that

Step-by-step explanation:

Verify the following: 3

−21 × −4 + −6 = −21 × −4 + (−21) × (−6)​

Answers

Answer:

the answer is -14 how about

study math next time

Answer:

Incorrect

Step-by-step explanation:

Use PEMDAS

Solve one side of the equation first

-21 × -4 + - 6

negative × negative = positive

84 + - 6

positive + negative = negative

84 - 6

78

Now solve the other side of the equation

-21 × -4 + (-21) × (-6)

negative × negative = positive

-21 × -4 + (126)

negative × negative = positive

84 + 126

210

Does 78 = 210?

No, so we can assume this equation is incorrect

pls help me with this

Answers

Answer:

I would say 3

Step-by-step explanation:

Most reasonable

express 52/9 as a decimial

Answers

Hey there!

In order for you to convert/ express a fraction as a decimal you SHOULD:

DIVIDE the numerator (the TOP number) from the denominator (the BOTTOM number)

Now that we have that guide/side note we can answer your question, shall we?

52/ 9 = 5.777778

If you’re rounding to your Answer, then it’ll be: 5.78

Overall answer is: 5.777778 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

James wanted to know if Earth and Mars added together were as big as Jupiter.
Earth is 1.28 X 1007 m
Mars is 6.79 X 10^6 m
jupiter is 1.43 X 10^8 m
Add the diameters of earth and Mars to see if they are bigger than Juipter. Show your work
+

Answers

Answer:

Mars is 6.79 X 10^6 m

Step-by-step explanation:

Mars is at a distance of 206,600,000 km from the Sun at perihelion At aphelion, Earth is at a distance of 152,100,000 km from the Sun. This is a difference of 54,500,000 km, or 34,000,000 miles.  

Answer:

Mars is 6.79 X 10^6 m

Step-by-step explanation:

Make him brainliest!

Choose the scenario below that matches this number sentence:

27 ÷ 5

A) 27 people share 5 bags of chips.
B) 5 people share 27 brownies.

Answers

Step-by-step explanation:

B 27 bags of chips by 5 people

Answer:

B) 5 people share 27 brownies.

Step-by-step explanation:

This is the answer because:

1) If 5 people are sharing 27 brownies, it means they are basically asking, how many brownies did each person get. Then, we would write the numerical sentence: 27 ÷ 5 because we want to know how many brownies each person got.

Hope this helps! :D

i need help please for geometry

Answers

Answer:

EF ≈ 1.98

Step-by-step explanation:

Using the sine ratio in the right triangle

sin26° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{EF}{FD}[/tex] = [tex]\frac{EF}{4.5 }[/tex] ( multiply both sides by 4.5 )

4.5 × sin26° = EF

4.5 × 0.44 = EF , that is

EF ≈ 1.98 ( to 2 dec. places )

Calcule o valor de x, sabendo que as retas “e” “f” e “a” são paralelas
a)36
b)37
c)37,5
d)38

Answers

Answer:

c

Step-by-step explanation:

[tex]\frac{x}{25}=\frac{60}{40}\\\\By\:Thales's\:Theorem\\\\x=\frac{60*25}{40}\\\\x=\frac{60*5}{8}\\\\x=\frac{15*5}{2}\\\\x=\frac{75}{2}\\\\x=37.5[/tex]

How many yards is 38.7 cm? Write your answer in scientific notation with 3 sig figs.

Answers

Answer:

=0.423 yards (3 sig figs.)

Step-by-step explanation:

38.7÷91.44

=0.4232283

=0.423 yards (3 sig figs.)

what is 4x +9 in a verbal expression?

Answers

Answer:

four times a number plus nine

Step-by-step explanation:

if PQ = 5 and QR = 17 , find PR

Answers

PR would be 17.72 as the hypotenuse, according to the measurements, is 17.72

Left after party and you want to split it into four pieces what fraction of the original cake is each slice? A) 1/8. B) 1/4. C) 1/2. D) 2/1

Answers

Answer:

1/4

Step-by-step explanation:

because you are spitting it into fourths

Answer:

1/8

Step-by-step explanation:

Create two tables with at least four coordinates each. In the first table, choose coordinates that make the relation a function. In the second table, choose coordinates that don't make the relation a function. Explain in complete sentences how you determined which coordinates would define a function and which coordinates would not.

Answers

9514 1404 393

Answer:

function: (1, 98), (2, 98), (3, 2), (4, -86)not a function: (1, 98), (2, 98), (3, 2), (3, -86)

Step-by-step explanation:

A relation that is a function has unique x-values. A relation that is not a function has at least one x-value that is repeated. The y-values do not need to be unique in either case, except that a repeat of the same (x, y) pair does not disqualify a relation from being a function.

In the table shown above, the non-function has the x-value of 3 repeated with different y-values.

|8x+3|=12 what’s the answer

Answers

Answer:

x= 9/8 , -15/8

Step-by-step explanation:

Answer:

x = 1.125 , x = 9/8

Step-by-step explanation:

|8x+3| = 12

=> 8x + 3 = 12

=> 8x = 12-3 = 9

=> 8x = 9

=> x = 9/8

As 9/8 is a fraction let's make it a decimal.

9/8 * 125/125 (To make it into a power of ten so that we can convert)

=> 1125 / 1000

=> 1.125

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

15 – 4(x – 3) = 5x + 9
I need the answer with work shown

Answers

Answer:

2

Step-by-step explanation:

15-4(x - 3)=5x+9

15-4x+12=5x+9

collect the like terms

27-9=5x+4x

18=9x

divide both sides by 9

x=2

Answer:

Your answer is: x = 2

Step-by-step explanation:

Hope this helped : )

Solve sx+tx=r for x?

Answers

Answer:

x= r/s+t

Step-by-step explanation:

Which ones are incorrect and what did they forget

Answers

Why what????????????????

when you went to bed the temperature was -5.5 it fell 3.4 degrees overnight what is the temperature now

Answers

Answer:

-2.1

Step-by-step explanation:

3.4 minus -5.5

Simple geometry that I don’t know cuz I’m a dum dum

Answers

x=15

you do 2(5x-5)=(6x+50) and simplify, then you get x=15.


y=7

Once again, you do (5y+5)=(7y-9) and simplify. you get y=7.


please leave a thanks and mark brainliest if you can

evaluate x2+x-12÷y2 for x = 5 and y =2​

Answers

Answer:

3

Step-by-step explanation:

Find the measure of the exterior angle.
64
76

Answers

Using the exterior angles theorem, the measure of the exterior angle(k) is 140 degrees.

How to find the exterior angles of a triangle?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

The two remote interior angles are 76 degrees and 64 degrees.

Therefore,

76 + 64 = k

k = 140 degrees.

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9=4(s-3)

Help me what’s the correct answer?

Answers

Answer:

 s=5 1/4

Step-by-step explanation:

Have a wonderful day

how many solutions does a independent system of equations have?

Answers

Answer:

one solution

An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.

Step-by-step explanation:

What is 5280 divided by 60

Answers

Answer:

ya the answer is 88

Step-by-step explanation:

What is the slope of y=-x perpendicular to the equation

Answers

[tex] \frac{1}{2} x[/tex]

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