. Joyce and Marianne both earn a combined income of $1,600 a week. Marianne earns $200 more than Joyce. How much income do Joyce and Marianne each earn?


( I need the equation and it needs to be solved. )

Answers

Answer 1

Answer:

So Joyce earns $700 and Marianne earns $900 per week. and $900=$200+$700. A slightly different approach is to say, if Marianne didn't earn 200 more than Joyce, then the combined income would be $200 less or $1600-$200=$1400. Now they both earn the same so each would get half of $1400 or $700.

Step-by-step explanation:


Related Questions

Find the surface area of the composite figure

Answers

solution given:

For Cuboid

length[l]=11mm

breadth [b]=9mm

height[h]=6mm

For semi cylinder

height[H]=11mm

radius[r]=[tex] \frac{9}{2}=4.5mm[/tex]

Now

Totalsurface area=2(lb+bh+lh)+½(2πr(r+H))-l*b[/tex]

:2(11*9+9*6+11*6)+22/7*4.5(4.5+11)-11*9

:438+219.2-99

:558.2mm²

Here area of base is subtracted as it is not included.

Total surface area of composite figure is :558.2mm².

Answer:

[tex]\displaystyle SA_{Total} = \frac{279 \pi}{4} + 339 \ mm^2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Factoring

Geometry

Shapes

Congruency

Congruent sides and lengths

Radius Formula: [tex]\displaystyle r = \frac{d}{2}[/tex]

d is diameter

Surface Area of a Rectangular Prism Formula: SA = 2(wl + hl + hw)

w is widthl is lengthh is height

Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify

[Rectangular Prism] w = 9 mm

[Rectangular Prism] l = 11 mm

[Rectangular Prism] h = 6 mm

[Cylinder] d = 9 mm

[Cylinder] h = 11 mm

Step 2: Derive

Modify Surface Area equations and combine

[Surface Area of a Cylinder Formula] Factor:                                                 [tex]\displaystyle SA = 2(\pi rh + \pi r^2)[/tex][Surface Area of a Cylinder Formula] Divide by 2 [Semi-Cylinder]:              [tex]\displaystyle SA = \pi rh + \pi r^2[/tex][Surface Area of a Semi-Cylinder] Substitute in r [Radius Formula]:             [tex]\displaystyle SA = \pi (\frac{d}{2})h + \pi (\frac{d}{2})^2[/tex][Surface Area of a Semi-Cylinder] Evaluate exponents:                                [tex]\displaystyle SA = \pi (\frac{d}{2})h + \pi (\frac{d^2}{4})[/tex][Surface Area of a Semi-Cylinder] Multiply:                                                    [tex]\displaystyle SA = \frac{\pi dh}{2} + \frac{\pi d^2}{4}[/tex][Surface Area of a Rectangular Prism] Remove top:                                      [tex]\displaystyle SA = 2(wh + lh) + lw[/tex]Combine Surface Area equations:                                                                  [tex]\displaystyle SA_{Total} = \frac{\pi dh}{2} + \frac{\pi d^2}{4} + 2(wh + lh) + lw[/tex]

Step 3: Find Surface Area

Substitute in variables [Combined Surface Area equation]:                         [tex]\displaystyle SA_{Total} = \frac{\pi (9 \ mm)(11 \ mm)}{2} + \frac{\pi (9 \ mm)^2}{4} + 2[(9 \ mm)(6 \ mm) + (11 \ mm)(6 \ mm)] + (11 \ mm)(9 \ mm)[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle SA_{Total} = \frac{\pi (9 \ mm)(11 \ mm)}{2} + \frac{\pi (81 \ mm^2)}{4} + 2[(9 \ mm)(6 \ mm) + (11 \ mm)(6 \ mm)] + (11 \ mm)(9 \ mm)[/tex]Multiply:                                                                                                            [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 2[54 \ mm^2 + 66 \ mm^2] + 99 \ mm^2[/tex][Brackets] Add:                                                                                                 [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 2[120 \ mm^2] + 99 \ mm^2[/tex]Multiply:                                                                                                            [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 240 \ mm^2 + 99 \ mm^2[/tex]Add:                                                                                                                   [tex]\displaystyle SA_{Total} = \frac{279 \pi}{4} + 339 \ mm^2[/tex]

Please help I have 15 minutes!!!!!!!

Answers

Answer:

NO WAIT NO IGNORE MY PREVIOUS ANSWER

NOT A FUNCTION

If you draw vertical lines on the dotted line, one line will intersect two parts of the dotted line, so it is not a function.

It’s all in the picture. WILL GIVE BRAINIEST TO CORRECT ANSWER

Answers

1. C
2. A
3. D
4. B

The 5 vertical lines shows the (left to right) minimum value, quartile 1, median, quartile 3, and maximum value.

440
36°
B
A
F
Angle BAC and angle DAE are
complementary. What is the
measure of angle DAE?

Answers

Answer:

44 degrees

Step-by-step explanation:

if BAC and DAE are complementary then their sum is equal to 90 degrees

90 - 36 = 44 degrees

Answer:

54

Step-by-step explanation:

your suppose to substract 90 degrees minus 36 = 54

90-36=54

2
A payment increases from $700 to $945. What is the percent increase in the
payment? Show your work.

Answers

hmm...

The answer is 35.00%

IT IS RIGHT, TRUST ME

Answer:

the answer is 76.02 the person above was wrong.

Step-by-step explanation:

The area of a square garden is 64 m2. How long is each side of the
garden?

Answers

Answer:

hope this will help you more...best of luck

Can you help me, I would appreciate it very much:(

Which is the answer?

A.1
B.5
C.8
D.2

Answers

C
As they r corresponding angles, they equal one another.

Which body system is responsible for exchange of oxygen and carbon dioxide between the body and the atmosphere?
Answers :
A. Nervous System
B. Excretory System
C. Circulatory
D. Respiratory System

----------------------------------

Answers

I believe the answer is d

8(4x-1)-12x=2(11x-3)

Answers

Answer:

Solving for X? would be 1

Step-by-step explanation:

32x-8-12x=22x-6

20x-8=22x-6 then subtract 20x from each side and add 6 to each side

2=2x then divide by 2 and getting 1 is x

Answer:

x=-1

Step-by-step explanation:

nine red balls and six blue balls are in a bag. if two were selected at random, determine the probability of selecting two red balls. set up the problem as if it would be solved but don't solve

Answers

Answer: (9/15)(8/14)=

Explanation: 9 out of the 15 total balls are blue and when you remove one blue ball, 8 out of fourteen balls are blue. These fractions are the chances of drawing each ball separately, so you multiply the chances together to get the chance of both happening.

You can answer either question but just know you will get brainliest!

Answers

Answer:

1. x= -4

2. x= 7

Step-by-step explanation:

hope this helps :)

9 tickets to a theme park cost £243, how much would 7 tickets cost

Answers

Answer:

£189

Step-by-step explanation:

Divide the cost by 9 to find the cost of 1 ticket, then multiply this by 7

cost of 1 ticket = £243 ÷ 9 = £27

cost of 7 tickets = 7 × £27 = £189

8. An $18,000 car depreciates at a rate of 16% per year. How old will the car be when it is worth $12,000?

Answers

16 years the answer

What is 5.704 expressed to two decimal places?

Answers

Answer:

5.70, or 5.7.

Step-by-step explanation:

4 is rounded to 70 (4 and below you round down), the 5 stays the same, and then you get 5.70 which you can reduce to 5.7.

A storm blew over a billboard 27 feet so that it is leaning against a pole 21 feet. How far from the base of the pole is the base of the billboard?

Answers

the base is 6ft of the billboard

Two frozen yogurt shops opened on the same block . Store A charges $2 for a cup plus $0 .50 per ounce . Store B does not charge for the cup, but charges $1 per ounce . Write a system of equations to represent the problem . Let x represent the weight of the frozen yogurt in ounces and let y represent the cost in dollars . plz help i need to raise my grades :(

Answers

Answer:

Step-by-step explanation:

Two frozen yogurt shops opened on the same block . Store A charges $2 for a cup plus $0 .50 per ounce . Store B does not charge for the cup, but charges $1 per ounce .

SLet x represent the weight of the frozen yogurt in ounces and let y represent the cost in dollars .

System of equation

y = 2 + 0.5x

You won $1000 in a radio contest. If you invest it in an account that pays 4.5% interest compounded semiannually, what will be your balance after 4 years?


please answer I'll give you five stars ​

Answers

Answer:

[tex]A= P( 1 + \frac{r}{n})^{nt}\\[/tex]

P = 1000

r = 4.5% = 0.045

n = semi annually = 2

t = 4

[tex]A= 1000( 1 + \frac{0.045}{2} )^8 =1000(1 +0.0225)^8= \$ 1194.83[/tex]

Mr porter had eight parties at her house last year the number of guest at each party is shown below 15,19,9,27,21,21,10,14

Answers

Answer:

17

Step-by-step explanation:

Complete question

Mr porter had eight parties at her house last year the number of guests at each party is shown below 15,19,9,27,21,21,10,14. What is the median numbers of those parties

The median value is the value at the middle after rearrangement

On rearranging in ascending order

9, 10, 14, (15, 19), 21, 21, 27

Since there are two values in the middle, we will take the average of the numbers

Median = 15+19/2

Median = 34/2

Median = 17

Hence the median value is 17

help for brainliest !

Answers

Answer:

<EGF = 54

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

<EGF = 1/2  arc EF

<EGF = 1/2  (108)

<EGF = 54

HELP! THIS IS DUE TODAY, and i will mark brainlest!

Answers

Answer: The first one:

The graph is a function because each input has exactly one output.

Please mark brainliest.  Hope this helps.

Which fraction has a repeating decimal as its decimal expansion?

Answers

Answer:

3/11

Step-by-step explanation:

3 divided by 11 = 0.27272727272

What is the next step

Answers

Answer:

measure of angle ABC is 6 degree.

Step-by-step explanation:

After you found x, you'll plug it in the equation of the angle it's asking for.

Measure of angle ABD, and you know measure of angle ABC = 4x-1.

4(1)-1 = 4-1 = 3

Measure of angle CBD = 2x+1.

2(1) +1 = 3

Measure of angle ABC is ABD + CBD

3 + 3 = 6

Answer:

Step-by-step explanation:

We know that is 4x - 1 + 2x + 1

So it equals

6x

or 6 ( 1) = 6°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Miguel walked Ask Your Teacher mile to the library and then Ask Your Teacher mile to the post office. How can he write Ask Your Teacher and Ask Your Teacher as a pair of fractions with a common denominator?

Answers

Answer:

[tex](\frac{5}{10},\frac{6}{10})[/tex]

Step-by-step explanation:

Given

[tex]Library \to \frac{1}{2}[/tex]

[tex]Post\ Office \to \frac{3}{5}[/tex]

See comment for complete question

Required

Write as a common denominator

Take the denominator of both fractions

[tex]2 \to[/tex]

[tex]5 \to[/tex]

Calculate the LCM

[tex]2 \to 1 * 2[/tex]

[tex]5 \to 1 * 5[/tex]

[tex]LCM = 1 * 2 * 5[/tex]

[tex]LCM = 10[/tex]

Multiply the numerator and the denominator of both fractions by 10

Simplify each to ensure a denominator of 10

[tex]\frac{1}{2} \to \frac{1}{2} * \frac{10}{10} \to \frac{1}{1} * \frac{5}{10} \to \frac{5}{10}[/tex]

[tex]\frac{3}{5} \to \frac{3}{5} * \frac{10}{10} \to \frac{3}{1} * \frac{2}{10} \to \frac{6}{10}[/tex]

Hence, the pair is:

[tex](\frac{5}{10},\frac{6}{10})[/tex]

For you guys not for me- The orca weighs 4 tons. How many pounds is that

Answers

Answer:

8,000 pounds

Step-by-step explanation:

1 US ton = 2,000 pounds

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

8000 pounds.

1 ton is 2000 pounds

4 tons = 8000 pounds

Thanks Hope it helps.

Find the average value of f(x)=−5x4+4x−10
over the interval [−2 , 2]

-104

335

67

26

-67

-151

151

-335

104

-26

Answers

Answer:

Step-by-step explanation:

the answer is f(x)= -5x4+4x-10 over [-2,2]

Can someone help brainllest and 20 points

Answers

Answer:

10a+5

Step-by-step explanation:

10(a+.05)

Distribute the 10

(10*a)+(10*.5)

Multiply

10a+5

1. 10x +14 y+8 37 27 +3 4y-19 X+77.​

Answers

Answer:

Step-by-step explanation:

A cab company charges $4 per cab ride, plus an additional $3 per mile driven. How long is a cab ride that costs $22?​

Answers

Answer:

6 miles

Step-by-step explanation:

Flat fee is $4

Per mile is $3

Equation :

4 + 3m = 22

subtract 4 from both sides

3m = 18

divide each side by 3

m = 6

The ride is 6 miles.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

In the diagram, the measures of 23 and 27 are 45°. The measure of Z5 is 135º. Are lines cand d parallel? e 1. 2 3 d 6 5 7 8​

Answers

Answer is A angles 3 and 7 are congruent

Hey pls help me what is 12*5?

Answers

Answer:

60

Step-by-step explanation:

Thx for the points Imfaoo

60 separate them to make it easier.
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