Find two numbers, if their sum is 97 and their difference is 7.

Answers

Answer 1

Answer:

Step-by-s tep explanation:

Answer 2

Answer:

Step-by-step explanation:

Let m and n represent the numbers.  Then m + n = 97 and n - m = 7.

Solving the second equation for n, we get n = m + 7.  Substituting m + 7 for n in the first equation we obtain:

m + (m + 7) = 97, or

2m + 7 = 97, or 2m = 90

Dividing both sides by 2, we get m = 45.  Then n must be 52.


Related Questions

The number of employees at a company is decreasing by 9.5% yearly. Currently there are 12,640 employees working at the company. Estimate the number of employees that will be working in 10 years. ( Round to whole number)

Answers

Answer:

12546

Step-by-step explanation:

9.5% = 0.95 = 95

12,640 - 95 = 12546

what is the answer which numbers go to the name hope it's not confusing?

Answers

Answer:

Mean - 7

Median - 7.5

mode - 9

range - 6

Hope it helps u

first person gets points! hurry

Answers

Answer:

36.57 mi ^2

Step-by-step explanation:

This is a trapezoid

The area of a trapezoid is

A = 1/2 (b1+b2) *h  where b1 and b2 are the bases

A = 1/2 (3.8+10) * 5.3

A = 1/2 (13.8) *5.3

  = 36.57

Answer:

36.57

Step-by-step explanation:

b^1+b^2/2*h

10+3.8/2*5.3

36.57

PLSS ANSWERR NOW
Find the number if 12% of it is 10% of 6

Answers

Answer:

0.072

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

"Find the number if 12% of IT is 10% of 6."

"It" means "the number," and we can represent this number as "x."

So,

12% * x = 10% * 6

3/25x=3/5

x=5

So, the number is 5.

(This problem really isn't that hard lol)

7
Find the value of x to the nearest tenth.
tan x = 5
78.9
78.7
0.1

Answers

Answer:

x = 5  to the nearest tenth = 0.0

Step-by-step explanation:

Step  1  :

Solving a Single Variable Equation :

1.1      Solve  :    x-5 = 0  

Add  5  to both sides of the equation :  

                     x = 5

Answer:  x = 5 nearest tenth = 0.0

Rounded to the nearest 0.1 or

the Tenths Place.

Hope this helps.

Answer:

x = 5  to the nearest tenth = 0.0

Step-by-step explanation:

What is the area of this figure?

Answers

Answer:

104cm^2

Step-by-step explanation:

Area of 1st rectangle

given

l=12cm

w=6cm

A =l×w

=12cm×6cm

=72cm^2

Area of 2nd rectangle

given

l=14-6=8cm

w=4cm

A=l×w

=8cm×4cm

=32cm^2

Total area =72cm^2+32cm^2=104cm^2

104cm^2 is the area of that figure.

Help with a word problem

Answers

Answer:

because it is a circular track idk....i aint smart enough for this...also because its a lap and not a straight line...and idk waht velocity is soooo

Step-by-step explanation:

The school's football team has 228th graders. If this is 40% of the team, how many total players are on the team?​

Answers

570

hope this helps!

Answer:

55 total students

Step-by-step explanation:

Change the percent to a decimal.

40% = 0.4

Divide the number of 8th graders by the decimal to find the total players on the team.

22/0.4 = 55

The total number of students is 55.

complete the shape below so that ab is a line of symmetry

Answers

Hey is it meant to be just a black screen kinda confused

Answer:

What's your question dude ? The screen is black.

Find the slope from the graph.

Answers

Answer:

-5

Step-by-step explanation:

Put the coordinates into the equation the difference of y over the difference of x. for example, -4-(-9)/-6-(-5) then you get 5/-1, which is -5.

Answer:

-5

Step-by-step explanation:

Slope = m = (y2 - y1)/(x2 - x1)

m = (-9 - (-4))/(-5 - (-6)) = (-9 + 4)/(-5 + 6) = -5/1 = -5

Answer: The slope is -5

Determine the intercepts of the line.

Answers

Screenshot:

y intercept = 0 , 2.5

x intercept = 3.5 , 0

Answer:

y- intercept = (0, 2.5)

x- intercept = (3.5, 0)

Step-by-step explanation:

y- intercept = (0, 2.5)

x- intercept = (3.5, 0)

The probability of a spinner landing on yellow is 4/9. What is the probability of it not landing on yellow?

Answers

Answer:

5/9

Step-by-step explanation:

9/9 minus 4/9 is 5/9

Answer:

5/9

Step-by-step explanation:

4/9 + 5/9 = 9/9

I also searched it up to make sure it was correct.

If f(x) = -7x + 5x2 + 10, what does f(-2) equal?

Answers

Answer:

44

Step-by-step explanation:

f(x) = -7x + 5x^2 + 10

f(-2) = -7(-2) + 5(-2)^2 + 10

= 14 + 20 + 10

= 44

Find the median of the data in the pictograph below.
1 toy whales

luca has 3 toy whales
niklas has 3 toy whales
finn has 5 toy whales
lena has 3 toy whales
please help what is the median im timed!

Answers

Explanation:

this is how you can find out the median value:

step 1: select the 2 numbers in the middle.

step 2: add the 2 numbers

step 3: once you get the sum of the 2 numbers, divide them by 2

then, you can get you median value!

Answer:

5+3=8

8 divided by 2 = 4

therefore, the median value would be 4.

hope this helps!

#zunairazrydhangirl1

for more help check out khanacademy.org , it really helps in my opinion!

Which description can be written as the expression StartFraction 8 Over 21 n EndFraction?
the quotient of twenty-one times a number and eight
the product of eight and twenty-one times a number
the quotient of eight and twenty-one times a number
the product of twenty-one times a number and eight

Answers

Answer:

C

Step-by-step explanation:

quotient-division

product-multiplication

(then the answer is multiplied by n not 8n)

BRAINLIEST LOL :)

Answer:

C

Step-by-step explanation:

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Enter the equation of the circle described below.
Center (5,2), radius = 3

Answers

Answer:

[tex](x-5)^2+(y-2)^2=9\\[/tex]

Step-by-step explanation:

So, you basically want the equation of the circle.

Given:

Center(C): [tex]C(5, 2)[/tex]

[tex]r=3[/tex]

The equation of circle is:

[tex](x-h)^2+(y-k)^2=r^2\\[/tex]

Where, [tex](h, k)[/tex] represents the center point and [tex]r[/tex] is the radius of the circle.

Plotting the values in the equation:

[tex](x-5)^2+(y-2)^2=3^2\\[/tex]

[tex](x-5)^2+(y-2)^2=9\\[/tex]

This is the equation of the circle of center (5, 2) and radius 3.

Answer:

(x-5)2 + (y -2)2 = 9

Step-by-step explanation:

At a summer camp,there are 40 girls out of the 60 campers.what is the ratio?

Answers

Answer:

40:20

Step-by-step explanation:

60 campers-40 girls= 20 boys

Convert the decimal 0.92 to a fraction.

Answers

Answer:

23/25

Step-by-step explanation:

Answer:

23/25

Step-by-step explanation:

The base of a prism is a right triangle with legs measuring 14 inches and 18 yards. If the height of the prism is 20 yards, find its volume in cubic yards

Answers

Answer:

2520 in³

Step-by-step explanation:

The volume of a prism is calculated as

V = Ah ( A is the area of the base and h the height )

A = [tex]\frac{1}{2}[/tex] bh( b is the base and h the height ), thus

A = [tex]\frac{1}{2}[/tex] × 14 × 18 = 7 × 18 = 126 in²

V = 126 × 20 = 2520 in³

Please helllpppp
Will mark as bbrainliest
Chose correct. answer for 9 and 10

Answers

Answer:

9 Yes

10 No

Step-by-step explanation:

5^2+12^2

25+144=169

13^2=169

169=169

12^2+16^2

144+256=400

19^2=361

400 does not =361

Answer:

9: Yes

20: No

Step-by-step explanation:

You're welcome

In one day, a yoga instructor teaches 3 classes in the morning and 4 classes in the afternoon. The length of each class is m minutes.
Which expression represents the total number of minutes the yoga instructor teaches in one day?
OA 7m
OB 7+ m
ОС. 10
D10 + m

Answers

Answer:

B. 7m

Step-by-step explanation:

She has 7 classes a day (3+4), and each takes the same number of minutes. If m stands for minutes per class, you can find the total minutes per day by multiplying 7 by m. Therefore the answer is 7m.

Example: Let's say a class takes 30 minutes, you would put 30 in the place of m, 7x30=210, so she would be teaching 210 minutes of yoga class each day.

which choice answer is it

Answers

Answer:

choice 1

Step-by-step explanation:

Given

V = πr²h ( isolate r² by dividing both sides by πh )

[tex]\frac{V}{\pi h}[/tex] = r² ( take the square root of both sides )

[tex]\sqrt{\frac{V}{\pi h} }[/tex] = r ← the positive value of r

Which addition expression
has the sum 8 - 3i ?
(9 + 2i) + (1 - i)
(9 + 4i) + (-1 - 71)
(7 + 2i) + (1 - 1)
(7 + 4i) + (-1 - 71)

Answers

B. (9+4i)+(-1-7i)

This is because when you add the terms, the 9 becomes an 8 and the 4i becomes a negative 3i.

PLZ HELP ME FIGURE THIS OUT

Answers

Answer:

m = 4

Step-by-step explanation:

3m -3 = 9

Add 3 to each side

3m -3+3 = 9+3

3m = 12

Divide each side by 3

3m/3 = 12/3

m = 4

what does d=18in mean

Answers

Answer:

The diameter measures 18 inches.

Step-by-step explanation:

The variable 'd' usually stands for diameter in math.

Answer:

see below

Step-by-step explanation:

d = 18 inches

This  means  the diameter of the circle is 18 inches

From one side of the circle to the other side of the circle, going through the center is 18 inches

Which graph shows y= (-5x) -4?

Answers

Answer: Your answer is A. Hope this helps!

Answer:

A

Step-by-step explanation:

carbon monoxide is a gas that is 43% carbon. carbon dioxide only 27% carbon. suppose that the environmental protection agency (epa) analyzes exhaust from cars, a mixture of carbon monoxide and carbon dioxide. if the epa finds that a 1600 mg sample of exhaust gas has 32% carbon, how many mg of the sample were carbon monoxide, and how many were carbon dioxide?

Answers

Answer:

500 mg Carbon Monoxide

1100 mg Carbon Dioxide

Step-by-step explanation:

Weight of total sample = 1600 mg

Percentage of Carbon in Carbon Monoxide = 43%

Percentage of Carbon in Carbon Dioxide = 27%

Percentage of carbon in Mixture = 32%

Let amount of Carbon Monoxide = [tex]x[/tex] mg

Amount of Carbon Dioxide in mixture = (1600-[tex]x[/tex]) mg

Amount of carbon in [tex]x[/tex] mg of Carbon Monoxide =

[tex]x \times 43\%\\\Rightarrow x \times \frac{43}{100} ...... (1)[/tex]

Amount of carbon in (1600-[tex]x[/tex]) mg of Carbon Monoxide =

[tex](1600-x) \times 27\%\\\Rightarrow (1600-x) \times \frac{27}{100}......(2)[/tex]

We know that the sample of 1600 mg contains carbon because of Carbon Monoxide and Carbon Dioxide present in it.

Adding (1) and (2) and equating to 32% of 1600 mg:

[tex]x \times \dfrac{43}{100} + (1600-x) \times \dfrac{27}{100} = 1600 \times \dfrac{32}{100}\\\Rightarrow x \times (43-27) = 1600 \times (32-27)\\\Rightarrow 16x = 1600 \times 5\\\Rightarrow x =500[/tex]

Amount of Carbon Monoxide in sample,[tex]x[/tex] = 500 mg

Amount of Carbon Dioxide in sample = (1600 - [tex]x[/tex]) = (1600 - 500) = 1100 mg

Hence, answer is

500 mg Carbon Monoxide

1100 mg Carbon Dioxide

The graph shows the parent function f(x)=2(0.5)

Which graph represents the function g(x) = 2(0.5)x - 1?​

Answers

The answer is the top one to the right

The graph that represents the function g(x) = 2(0.5)ˣ -1 is given.

What is graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.

Given expression,

g(x) = 2(0.5)ˣ -1

To draw the graph take x = 0, 1,2, -1 , -2 and so on .

And draw these numbers in the graph.

Take x=0

g(0) = 1

the point is (0,1)

And now , take x = 1

g(1) = 0

the point is (1,0)

Take x =-1

g(-1) = 3

The point is (-1,3)

Therefore, the graph is given in the image.

To learn more about the line graph;

https://brainly.com/question/23680294

#SPJ5

What is the domain of the function Y= In(x+ 2)?
x <-2
XX-2
x <2
X> 2

Answers

Answer:

x > -2

Step-by-step explanation:

Domain is the range is of all possible value for x  in y=  f(x) .

Domain of logarithmic function  log(x) is given by x > 0.

It means any value can greater than x can be plugged in place of x in function log(x).

In the given function  Y= In(x+ 2). In place of x there x+2 .

Thus x+2> 0

subtracting -2 from both sides

=>  x+2 -2> 0-2

=> x > -2

Thus, domain of the function Y= In(x+ 2) is x > -2

Part A:
A truck delivers 32 cases of soup to a store . Each case holds 8 cans of soupThe store manager plans to place 9 cans on each shelf. What is the fewest number of shelves the manager will need for all of the cans of soup delivered by the truck?
Part B:
The same truck delivers 9 cases of canned corn. Each case holds 36 cans of When the cases are unpacked 15 of the cans are missing. The store manager places 7 cans of corn on cach shelf. What is the fewest number of shelves the manager will need for all of the cans of corn delivered by the truck?
Write out the equations that represent Part A and Part B.

Answers

soupsoupsoup soupsoupsoup

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