The sum of two numbers a and b is 7 and the difference between them is 2. What is the value of a x b ? Give your answer as a mixed number in its simplest form.

Answers

Answer 1

Answer:

45/4

Step-by-step explanation:

We can interpret the question to have two equation which can be solve simultaneously

a+b=7------------(1)

a-b=2------------(2)

From eqn(2) make a subject of formula

a=2+b--------(3)

Substitute the (3) into eqn(1)

a+b=7------------(1)

2+b+b=7

2b=7-2

2b=5

b=5/2

From equation (3) substitute value of b to find a

a=2+b--------(3)

a= 2+5/2

a=9/2

Then What is the value of a x b ?

9/2× 5/2

=45/4

Answer 2

Answer:

11 1/4

Step-by-step explanation:

a+b=7

a-b=2

adding equations gives us 2a=9  so a= 9/2

b= 7- 9/2= 14-9/2=5/2

therefore a x b= 9/2 x 5/2 =45/4

45/4 in a mixed number is 11 1/4


Related Questions

Please answer will give brainliest. Also, please check my other questions out I need help!!

Answers

Answer: C

Step-by-step explanation:

The cost, in dollars, of cellular phone service with Econo-phone is given by C = 0.18x + 14.55, where x is the number of minutes used in one month.
a.
0.18 signifies the cost per minute, and 14.55 signifies the monthly service charge.
c.
14.55 signifies the cost per minute, and 0.18 signifies the monthly service charge.
b.
0.18 signifies the hourly phone rent, and 14.55 signifies the cost of the hardware.
d.
14.55 signifies the total phone bill, and 0.18 signifies the number of minutes used.

Answers

Answer:the answer is A

Step-by-step explanation:i just took the test

Answer: (A.)

Step-by-step explanation: Hope This Helps!


A train travels a total of 38 km at a constant speed of 90 km/h.
How long is its journey? Give your answer in minutes and seconds, to the nearest second. Pls Help Maybe I will give you brainiest

Answers

Answer:

25 minutes and 33 seconds

Step-by-step explanation:

please brainiest

The equation F= 9/5 C+32 relates temperature measured in degrees Celsius, C , to degrees Fahrenheit, F. Determine whether there is a proportional relationship between C and F.

Answers

Answer:

The relationship between F and C is proportional

Step-by-step explanation:

The relationship between Celsius and Fahrenheit temperatures is a direct proportionality. Both scales have their ice and steam points as well as their fundamental intervals.

When the temperature in Celsius increases, the temperature in Fahrenheit increases and vice versa.

The following two triangles are similar. Find x

A.) 4
B.) 6
C.) 7
D.) 5

Answers

It’s C because if you divide 48 by 8 you get 6 so 56 divided by 8 equals 7 which is C

The value of x is 7.

Option C is the correct answer.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two similar triangles.

56/48 = x/6

Cross multiply.

x = (56 x 6)/ 48

x = (7 x 6)/6

x = 7

Thus,

x is 7.

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Which expression would represent the cost of one CD, if the total cost for three of them is $362
3/36)
36-3
36
3+ 36

Answers

Answer:

One CD would've been 120.67

Someone correct me if I'm wring please

x - 2y = 4
3x +2y = 4

Answers

Answer:

tje answer is (2,-1) to this

25 points
Write an equation in slope intercept form
(-3,0) (2,1)

Answers

Answer:

y = 1/5x + 3/5

Step-by-step explanation:

Simply the expression 7y+4x+4-2x+8

Answers

Simplified: 2x+ 7y + 12

Which pair of ratios is not equal? 72 : 64 and 27 : 4 72 : 64 and 27 : 4 90 to 18 and 5 to 1 90 to 18 and 5 to 1 25 to 10 and 10 to 4 25 to 10 and 10 to 4 6 : 7 and 30 : 35

Answers

Answer:

a) 72 : 64 and 27 : 4

Step-by-step explanation:

a) 72 : 64 and 27 : 4

72 /64 = 27/4

9/8 ≠ 27/4

Not equal

b) 90 to 18 and 5 to 1

90 : 18 = 5/ 1

5/1 = 5/1

Equal

c) 25 to 10 and 10 to 4

25 :10 and 10 : 4

25/10 = 10/4

5/2 = 5/2

Equal

d) 6 : 7 and 30 : 35

6/7 = 30/35

6/7 = 6/7

Equal

The pair of ratios that is not equal is

a) 72 : 64 and 27 : 4

State the slope and y-intercept of the graph of y=−25x+2

Answers

Answer:

slope=-25  y-intercept=2

Step-by-step explanation:

Answer: Slope=-25

y-int=2

Step-by-step explanation: y=mx+b, m is the slope and b is the y-int. The slope is the number in front of x like -25x that is -25. The y-int is the next to the slope which is 2.

You use the utility company’s budget plan for paying your home heating bills. You pay $75 a month for 9 months. Your actual bills are: September, $28.95; October, $46.15; November, $68.46; December, $109.34; January, $115.26; February, $94.19; March $75.66; April, $51.97; and May, $49.16. Compute the average for the 9 months

Answers

Answer:

$71.01

Step-by-step explanation:

What is the average of a set of numbers?

An average is a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.

Given

September, $28.95;

October, $46.15;

November, $68.46;

December, $109.34;

January, $115.26;

February, $94.19;

March $75.66;

April, $51.97; and

May, $49.16.

Step two:

Total amount= 28.95+46.15+68.46+109.34+115.26+94.19+75.66+51.97+49.16= 639.14

Total number of monts= 9

Average= 639.14/9

Average= $71.01

What is the geometric mean of 3 and 6

Answers

Answer:

The mean is 4.5

Step-by-step explanation:

u add the numbers and divide by how many numbers there are

Geometric Mean= 4.2426406871193

Put these in order starting from the smallest
6^2 3^4 2^9
5^3

Answers

Answer:

6^2, 3^4, 5^3, and 2^9

Step-by-step explanation:

6^2= 36

3^4= 81

5^3= 125

2^9= 512

y = 4x + 2 :) help please

Answers

Answer:

This equation is already complete to its maximum stage.

Step-by-step explanation:

If you want other possibilities of this equation here:

y - 2 = 4x

4x = y - 2

x = [tex]\frac{y - 2}{4}[/tex]

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer: Not enough info

Step-by-step explanation:

7(x + 4) = -21 what is x in this problem?

Answers

X=-7
Sorry I can’t explain it! My device is really slow right now!

Answer:

-7

Step-by-step explanation:

7x+28=-21

7x=-49

x=-7

How do you figure this out? I am having a hard time. The variables x and y are related to proportionally. When x = 8, y = 20. Find y when x = 80.
When x = 80, y

Answers

Answer:

200

Step-by-step explanation:

(80×20)/8

y is equal to 200

Let f(x)=6/5x−1/2. Describe the transformations from the graph of f to the graphs of g(x)=−f(x) and h(x)=f(−x).

Answers

Answer:

g(x)=-6/5x+1/2

h(x)=-6/5x-1/2

Step-by-step explanation:

1).   g(x)=−f(x) ?

f(x)=6/5x−1/2

g(x)=−(6/5x−1/2)

g(x)=-6/5x+1/2

2). h(x)=f(−x) ?

f(-x)=6/5(-x)−1/2

f(-x)=-6/5x-1/2

h(x)=-6/5x-1/2

Lee is selling spirit wear for a fundraiser hats cost $8 and shirts $12 lee sold $272 worth of spirit wear in the first month. If lee sold a total of 28 items how many hats did Lee sell

Answers

16*8=128
12*12=144

128
+ 144
$272

Lee sold 16 hats

Lee sold 16 hats.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Cost of 1 hat= $8

Cost of shirt = $12

Total cost of spirit wear= $272

let the number of hats sold be x

and, let the number of shirts sold be y

So, 8x+ 12y= 272

and, x+ y= 28

Solving the above equations we get

8(28- y) + 12y= 272

224 - 8y + 12y = 272

4y = 48

y = 12

and x= 28- 12 = 16

Hence, Lee sold 16 hats.

Learn more about equation here:

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y = 3x + 4

the Answer

Answers

Answer:

hope u have a nice day​

Step-by-step explanation:

Find the value of x and y.

Answers

Answer:

I believe it is A......

Answer:

C.)

Step-by-step explanation:

180 = 6x + (2x - 32)

212 = 8x

26.5 = x

y = 2x - 32

y = 21

7,900 dollars is placed in an account and gains an annual interest rate of 5.5%. Which of the exponential equations below best models this situation? I need a Answer fast please.

Answers

Answer:

I don't the answer but the next person will answer this right.

Cara deposited $200 dollars into her savings account bringing her balance up to $450. Which equation can be used to find, x, the savings account balance before the $200 deposit?
A x + 200 = 450
B x200=450
C x−200=450
D 200x = 450

Answers

Answer:

A. x + 200 = 450

Step-by-step explanation:

Since clara deposited $200 into her savings account and it brought her account up to $450, to find the answer you would add "x" with 200 and you should get 450 which means x= 250. we can check our answer by solving : 450-200 and you should get 250 for your answer so the answer is

A x + 200 = 450

WILL MAKE BRAINLIEST! Let sin 21 = 0.358. What is the value of x for cos x = 0.358

Answers

Answer:

The value of x is 69°

Step-by-step explanation:

In a right angle triangle, if m and n are the two acute angles on it, then

m + n = 90° sin(m) = cos(n)cos(m) = sin(n)

That means if sin(m) = cos(n), then m + n = 90°

Let us use these facts to solve the question

∵ sin(21°) = 0.358

∵ cos(x°) = 0.358

→ That means sin(21°) = cos(x°)

sin(21°) = cos(x°)

→ By using the facts above

21 + x = 90°

→ Subtract 21 from both sides

∵ 21 - 21 + x = 90 - 21

x = 69°

The value of x is 69°

Whitney has £265 Nancy has £180 They each spend the same amount of money. Whitney has twice as much money as Nancy left now. How much money did they each spend?

Answers

Answer:

£95

Step-by-step explanation:

Given that:

Whitney's initial amount = £265

Nancy's initial amount = £180

Let amount each spent = x (amount is the same)

After spending Whitney has twice as much money as Nancy.

Amount spent by each?

(Whitney's initial amount - x) = 2(Nancy's initial amount - x)

265 - x = 2(180 - x)

265 - x = 360 - 2x

-x + 2x = 360 - 265

x = £95

Hence, they both spent £95

a wheel has a radius of 6 inches and rotates 35.4 radians per minute. How far in inches will a point on the rim of the wheel travel in 5 minutes

Answers

sksksksksksksksksksksksksks and i ooop

Graph the inequality 2x + y > 4 and shade the correct solution set.

Answers

Answer:

shouldn't there be a pictures with this Question

Step-by-step explanation:

FOR 50 OR 100 POINTS! A bag is filled with small and large marbles. The ratio of small to large marbles is 1:3. On your own sheet of paper, draw a tape diagram to represent this situation.


If there are eight more large marbles than small marbles, how many total marbles are in the bag?

Answers

Answer:

4:12

4 small

8 large

16 marbles total

Answer:

4:12

Step-by-step explanation:

What is the answer to 2/9 divided by 1/2?

Answers

Answer:

the answer is going to be 2 /9 times the reciprocal of 1/2 so the answer is 4/9

Answer:

4/9

Step-by-step explanation:

2/9 / 1/2

= 2/9 x 2/1

= 2x2 / 9x1

=4/9x1

=4/9

Solve for bbb. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 30b+53 \geq 18b -8330b+53≥18b−8330, b, plus, 53, is greater than or equal to, 18, b, minus, 83

Answers

Answer:

b ≥ - 34 / 3

Step-by-step explanation:

Given the inequality :

30b+53≥18b−83

Collect like terms

30b - 18b ≥ - 83 - 53

12b ≥ - 136

Divide both sides by 12

12b / 12 ≥ - 136 / 12

b ≥ - 34 / 3

Hence, b ≥ - 34/3

Answer:

b≥− 34/3

Step-by-step explanation:

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