Bill has saved $825 from his last 8 paychecks. He saved either $75 or $150 a paycheck. Formulate and solve a system of equations. to determine how many times bill saved $75 from his paycheck.

Answers

Answer 1

Answer: 5 times

Step-by-step explanation:

Let the number of times that he saved $75 be x.

Let the number of times that he saved $150 be y.

Therefore, based on the information given in the question, we can form an equation which will be:

x + y = 8 ...... i

75x + 150y = 825 ....... ii

From equation I,

x + y = 8

y = 8 - x....... iiii

Put equation iii into ii and this will be:

75x + 150y = 825

75x + 150(8 - x) = 825

75x + 1200 - 150x = 825

75x - 150x = 825 - 1200

-75x = -375

x = 375/75

x = 5

He saved $75 5times from his paycheck.


Related Questions

Find the circumference and area of the circle. Use 3.14 for π. Round to the nearest hundredth if necessary.
13m.

Answers

Answer:

81.64

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please be explicit in labeling the radius.   I will assume y ou meant r = 13 m.

Circumference formula:  C  = 2πr; area formula:  A = πr²

Here, with r = 13 m, C = 2π(13 m) = 26π m = C = 81.68 m

and

with r = 13 m, A = π(13 m)^2 = 169π = A = 530.93 m^2

A car wheel has a diameter of 27.1". How far will the car go when the wheels rotate 100 times?

Answers

Answer:

135.5"

Step-by-step explanation:

Answer:

8509.4

Step-by-step explanation:

The diameter has already been displayed so what I could simply do is solve the equation simply by using the formula for circumference using diameter (C=3.14 x 27.1) and that will get me 85.094 but thats how far it will get if it rotates 1 times so we must multiply it by 100 and move the decimal point 2 digits to the right and the final answer is 8509.4. 8509.4 (no mathematical unit) is how far the car can go when the wheels have a diameter of 27.1 and rotates 100 times.

Emmanuel was charged $32 for a 14 2/9 km taxi ride. what was the cost per kilometer

Answers

Answer:

$2.25 Per Kilometer

Step-by-step explanation:

Divide the amount of Money that Emmanual Was charged with, And Divide the Amount of Kilometers of the taxi ride.

32 Divided by 14 2/9= $2.25 per Kilometer

The composite figure is made up of a cone and a half sphere. The radius of the half sphere is 6 cm. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.

A half sphere and cylinder. Both have a radius of 6 centimeters. The cone has a height of 12 centimeters.


Recall the formulas V = one-third B h and V = four-thirds pi r cubed
188.40 cubic centimeters
489.84 cubic centimeters
904.32 cubic centimeters
1,356.48 cubic centimeters

Answers

Given:

Radius of half sphere and cone = 6 cm

Height of cone = 12 cm

To find:

The volume of composite figure that is made up of a cone and a half sphere.

Solution:

Volume of half sphere is:

[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]

Where r is the radius of the half sphere.

Putting [tex]\pi =3.14, r=6[/tex], we get

[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]

[tex]V_1=\dfrac{6.28}{3}(216)[/tex]

[tex]V_1=452.16[/tex]

Volume of a cone is:

[tex]V_2=\pi r^2h[/tex]

Where r is the radius and h is the height of the cone.

Putting [tex]\pi =3.14, r=6, h=12[/tex], we get

[tex]V_2=(3.14)(6)^2(12)[/tex]

[tex]V_2=(3.14)(36)(12)[/tex]

[tex]V_2=1356.48[/tex]

Volume of the composite figure is:

[tex]V=V_1+V_2[/tex]

[tex]V=452.16+1356.48[/tex]

[tex]V=1808.64[/tex]

Therefore, the volume of a composite figure is 1808.64 cubic centimetres.

Note: All options are incorrect.

Answer: A

Step-by-step explanation:

Mitch made a dot plot of the number of hours that students in his grade spent this week watching television.


Use the data to choose True or False for each statement.



Dot plot named as


A typical student from this group spends more than 10 hours watching television each week.


More students watch 3 hours of television than watch more than 3 hours of television.


All students watch 20 or fewer hours of television each week.


The most common answer for the number of hours that a student watches per week was 3.

Answers

Answer:

Part A

False

Part B

True

Part C

True

Part D

True

Step-by-step explanation:

A scatter diagram created with MS Excel shows the data as on the dot plot in a similar question obtained online

The number of students in the group = 92

Part A

The number of students that spend more than 10 hours watching television = 39

Therefore, given that less than half of the student spend more than 10 hours watching television, the statement is false

Part B

The number of students that watch 3 hours of television is the highest than any other time range with 16 students, therefore, the statement is true

Part C

The maximum hours watched by a student in the dot plot is 20 hours, therefore, the statement is true

Part D

The number of hours for which the student watched and which has the highest frequency is 3 hours, therefore, the statement is true as more students have 3 hours as the number of hours watched (16 students) than any other number of hours

Please help me solve the problem

Answers

Answer:

X = 44

Step-by-step explanation:

That square means that the angle is 90°, therefore you can subtract 46 from 90 to find x

90 - 46 = 44

Answer:

44

Step-by-step explanation:

That is a right angle so we just need to subtract 46 from 90, and 90-46 is 44. So 44 is the missing angle

Pls brainliest :D

(please help!!)
Once cell phone plan charges $20 per month plus $0.15 per minute used. A second cell phone plan charges $35 per month plus $0.10 per minute used. Write and solve an equation to find the number of minutes you must talk to have the same cost for both calling plans.

Answers

Answer:

x = 300 minutes

Step-by-step explanation:

20 + .15x = 35 + .10x

.05x = 15

 

Marking brainliest


Please help !

Answers

i believe it’s d.) conscious sorry if i’m wrong

i need help please !!!

Answers

Answer:

1. it is given

2. the definition of angle bisector

3. the reflexive property

4. SAS

5. corresponding parts of congruent triangles are congruent

hello please help i’ll give brainliest

Answers

Answer:

Velocity

Step-by-step explanation:

Acceleration is defined as the rate of change of velocity.

Velocity is a vector, which means it contains a magnitude (a numerical value) and a direction.

So the velocity can be changed either by changing the speed or by changing the direction of motion (or both).

Answer:

velocity

Step-by-step explanation:

The definition of acceleration is: Acceleration is a vector quantity that is defined as the rate at which an object changes its velocity. An object is accelerating if it is changing its velocity.

What is the distance between the points (−3, 4) and (−3, −5)?

Answers

Answer:

sorry i need points :(

..............

Step-by-step explanation:

.......

What is the equation of the line that passes through the points (15, 9) and (-2, 9)?
y=9
y=- 11/6x + 9
y= -17
y= 6x + 11

Answers

Answer:

y=-17x-25

Step-by-step explanation:

9-9=0

-2-15=-17

(y-9)÷(x+2)= -17

y-9=-17x-34

y= -17x-25

A baby weighed 96 ounces at birth. Eight days later the baby weighed 120 ounces. About how many ounces did the baby gain each day? a. Write a two-step equation to represent the situation. b. Solve the equation.

Answers

Answer:

The baby gained about 3 ounces a day

HOPE THIS HELPS

-Todo ❤️

Step-by-step explanation:

120-96=24

24/8=3

The safety rules for a playground state that the height of the slide and the distance from the base of the ladder to the front of the slide must be in a ratio of 3 : 5. What would be the length of this slide? Round your answer to the nearest whole number. ____feet

Answers

Answer: 12

Step-by-step explanation: c = √a2 + b2

= √(6)2 + (10)2

= √36 + 100

= √136

= 2√34

= 11.661903789691

Round up

12

The length of the slide has a height of 6 feet and the base of 10 feet would be equal to the nearest whole number 12 feet.

The ratio of the height of the slide and the distance from the base of the ladder to the front of the slide is 3 : 5.

The height of the slide is 6 feet.

The base of the ladder is 10 feet.

What is Pythagoras Theorem?

The Pythagoras is the sum of the square of two sides which is equal to the square of the longest side.

From the Pythagoras Theorem,

[tex]\rm a^{2} =b^{2} +c^{2} \\\rm a^{2} =10^{2} +6^{2} \\\rm a^{2} =100+36\\\rm a = \sqrt{136} \\\rm a = 11.6619\\\rm a=12[/tex]

By round off up to nearest whole number. The length of the slide would be 12 feet.

Learn more about the Pythagoras Theorem here:

https://brainly.com/question/343682

How can I solve for x?

Answers

Answer:

37 degrees

Step-by-step explanation:

The angles within a triangle always add up to 180 degrees. Right angles are always 90 degrees. 53 + 90 = 143 degrees. 180 - 143 = 37 degrees

37 is the answer, so you know that 53 is one of the angles given and there is a 90 degree angle, so all you do is 53+90=180, then you get 143=180, then subtract 180-143=37 and the real answer is 37. Hope this helps!! :)

A rugby team plays two matches. They win (W) draw (D) or lose (L) each match. List the possible outcomes

Answers

Answer:

They can W and W.

They can W and D.

They can D and D.

They can L and L.

They can L and D.

They can W and L.

Step-by-step explanation:

The figure shown is a rectangle with a semicircle on each end. What is the area of the
figure? Use 3.14 for at and round your answer to the nearest tenth.
34.8 in.2
8 in
161.0 in.
Blin
104.5 in.
76.3 in.2
Done

Answers

Step-by-step explanation:

the area of the fig. =

(8×6)+(3.14×3²)

= 48+ 28.3

= 76.3 in²

Answer:

what the dude said

Step-by-step explanation:

Btw dude, your a life saver

Paul biked 55 miles in 10 hours . what is the unit rate of miles per hour

Answers

Answer:

5.5 miles per hour

Step-by-step explanation:

Since he travels a total of 55 miles in 10 hours, you need to divide.

55/10 = 5.5

total hours/total miles = miles per hour

paul bikes 5.5 miles an hour

A horizontal line passing through the point (-15,12)

Answers

Answer:

this is your answer........

6.4 ÷ 1.6 of 5 + 1.3 × 3.1 - 0.07

Answers

answer : 23.96
explanation s

Answer: 23.96

first you gotta put in the parenthese in. (6.4/1.6)x 5+( 1.3x3.1)-0.07.

second: do the Equation in the parentheses.

6.4/1.6=4

1.3x3.1=4.03

4x5=20

20+4.03=24.03

24.03-0.07=23.96 final answer

Hope this helps!!

There are 19 birds in a pond, all of which are ducks or geese. If the number of ducks in the pond is 1 more than twice the number of geese in the pond, how many geese are in the pond?

A. 6

B. 9

C. 10

D. 13

Answers

d I think d

Step-by-step explanation:

yayasjsjamaaak

The amusement park is open for 11 hours if approximately 200 people can ride the swing in one hour what is the maximum amount of people that can ride the swing in one day

Answers

Answer:

2,200

Step-by-step explanation:

Number of hours amusement park opens = 11 hours

Number of people who ride the swing in one hour = approximately 200

what is the maximum amount of people that can ride the swing in one day?

Number of people that can ride the swing in one day = Number of hours amusement park opens × Number of people who ride the swing in one hour

= 11 × 200

= 2,200 approximately

Number of people that can ride the swing in one day = 2,200

Please help! will give brainliesttttt!!!!

Answers

Answer:

416

Step-by-step explanation:

Analia wants to know which school has higher athletic achievements relative to the SAT average. 1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options. Choose 2 answers: Choose 2 answers: (Choice A) A % of students in sports club divided by SAT average (Choice B) B Graduation rate divided by SAT average (Choice C) C Number of sports medals won (Choice D) D Number of sports medals won divided by SAT average 2) Determine which school has higher athletic achievements relative to the SAT average, according to the two definitions. Did you get the same result for both definitions? Choose 1 answer: Choose 1 answer: (Choice A) A Yes. According to both definitions, School A has higher athletic achievements relative to the SAT average. (Choice B) B Yes. According to both definitions, School B has higher athletic achievements relative to the SAT average. (Choice C) C No. The definitions have opposite results.

Answers

Answer:

( THIS MAY NOT BE CORRECT FOR EVERYONE'S QUESTION )

1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.

% of students in sports club divided by SAT average

number of sports medals won divided by SAT average

2) Determine which school has higher athletic achievements relative to the SAT average, according to the two definitions. Did you get the same result for both definitions?

No. The definitions have opposite results.

khanad2021

2|5-10|-|-3| please provide a step by step explanation (:

Answers

[tex]\sf\purple{B.\:7}[/tex] ✅

Step-by-step explanation:

[tex]2 |5 - n| - | - 3| \\ = 2 |5 - 10| - 3 \\ = 2 \times 5 - 3 \\ = 10 - 3 \\= 7[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Someone please help!!! It doesn’t make sense!! Find the value of 1/2 divided by 1/3. (A 1 and 1/2) (B 1 and 1/3) (C 1 and 2/3) that’s the options I have please help!!!

Answers

Answer:

A

Step-by-step explanation:

1/2 ÷ 1/3

Copy dot flip

1/2 × 3/1

1 × 3 / 2 × 1

3 / 2

3/2

Convert 3/2 into mixed number:

3/2 -> 1 1/2 because 3 fits into 2 evenly once, which leaves 1 remaining (for the denominator)

Can someone help me with this question pls?

Answers

Answer:

[tex]x^{2} - 25[/tex]

Step-by-step explanation:

Area is side x side, so naturally it would be: (x+5)(x - 5)... Though to simplify, those parenthesis can be FOILed. (Reminder: "FOIL" means First - Outer - Inner - Last)

[tex]x^{2} - 5x + 5 x - 25[/tex]

The 5x cancels out because 5x - 5x = 0

So that leaves us with:

[tex]x^{2} - 25[/tex]

Answer:  x^2 - 25   (choice C)

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

Explanation:

Let's say we replace the "x+5" with some other letter. Let's use L for length.

We'll keep the width x-5 the same.

area = length*width

area = L*(x-5)

area = L*x + L*(-5)

area = xL - 5L

At this point, we would then plug in L = x+5 and distribute like so:

area = x( L ) - 5( L )

area = x( x+5 ) - 5( x+5 )

area = x^2 + 5x - 5x - 25

area = x^2 - 25

Side note: (x+5)(x-5) = x^2 - 25 is an application of the difference of squares rule.

-2(+3)+4x-4=-14
solve for x pleaseeee

Answers

Answer:

-2(3) + 4x -4 =-14

-6 + 4x -4=-14

4x = -14 + 6 + 4

4x = -4

x=-1

To verify this...Input -1 into the original equation... You'd get -14

WILL GIVE BRAINLIEST IMMEDIATELY. CORRECT ANSWER + EXPLANATION REQUIRED FOR BRAINLIEST. NO LINKS OR FAKE ANSWERS! IF YOU PUT A LINK OR FAKE ANSWER I WILL REPORT YOU!!!
look at the photos for question, diagram, and answer choices :)

Answers

Answer: A. alternate interior angles

Step-by-step explanation:

Line 2 (l₂) and Line 3 (l₃) will be the focus of this question. Since both angle 3 and angle 5 are inside of the lines, they are interior angles. Since they are on alternate sides of the central line (t₁), they are alternate angles. Since they are both alternate and interior angles, they are alternate interior angles.

Mr. Davis is looking to redo his carpet in his
house. He knows the area of the a room is 63
and he knows one measurement is 7ft. What's
the other missing measurement of the room?

Answers

Answer:

assuming the carpet is a rectangle, the missing measurement would be 9 ft.

(63 / 7 = 9)

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