What is the solution of this inequality?

r−10>−7

Drag and drop the choices to correctly complete the inequality.

r Response area Response area

Answers

Answer 1

Answer:

=r-10+10>-7+10

=r>3

first add +10 to the both sides so as to balance the inequality then do a simple calculation which results you to the final answer.

Answer 2

For r > 3, the inequality r - 10 > -7 is satisfied.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is inequality?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An inequality is a relation comparing two expressions. For example -

3x + 4 > 5

ax + b < c

We have the following inequality -

r - 10 > -7

We can write -

r - 10 > -7

r - 10 + 10 > - 7 + 10

r > 3

Therefore, for r > 3, the inequality r - 10 > -7 is satisfied.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Related Questions


The original quantity is 10 and the new quantity
is 13. What is the percent change? Is it an
increase or decree?









Answers

Answer:

30 %

Step-by-step explanation:

Assumption: the increase is to be expressed as a percentage of 10.

We change from 10 to 13 so the increase is 3 We now need to change this into a percentage.

In fraction form we have increase Original value → 3 10 But we need to change this into the form some number 100 Let the unknown value be x giving: 3 10 ≡ some number 100 = x 100 To change the 10 from 3 10 into 100 we multiply by 10 Multiply by 1 and you do not change the value.

However, 1 comes in many forms.

3 10 × 1 = 3 10 × 10 10 = 30 100 This is the same as 30 × 1 100 but 1 100 is the same as %.

So 30 100 → 30 %

SLOVE I GIVE BRAINLEST
18+ -27

A. -45

B. -9

C. 9

D. 48

Answers

Answer:

B: -9

Step-by-step explanation:

When you add a negative number, you subtract that number.

[tex]18+-27=18-27=-9[/tex]

18 + -27
= 18-27
= - 9
Answer will be B

I'm DJ music is my hobbies what about you:)​

Answers

Answer:

Playing video games or sumthin

Please help! Asap.
I suck at this.
I need to find y

Answers

180 = x + y + 90

x = 180 - 115
x = 65

180 = 65 + 90 + y
180 - 65 - 90 = y
25 = y

Answer:

y° = 25°

Step-by-step explanation:

Given the diagram of a triangle, where it shows an exterior angle with a measure of ∠115°, and that an angle bisector bisects the triangle into two right triangles.  

According to the Exterior Angle Theorem, the measure of the exterior angle is equal to the sum of the measures of two non-adjacent interior angles.  In other words, the given exterior angle, m∠115° is equal to m∠y° + m∠90°.

Solve for y:

Hence, we could simply solve for the value of y algebraically:

m∠y° + m∠90° = m∠115°

y° + 90° = 115°

Subtract 90° from both sides:

y° + 90° - 90° = 115° - 90°

y° = 25°

Double-check:

Verify whether we have the correct value for y by solving for x:

Since the exterior angle, ∠115°, and ∠x° are supplements, then it means that:

m∠115° + m∠x° = 180°

115° + x° = 180°

Subtract 115° from both sides:

115°- 115° + x° = 180° - 115°

x = 65°

According to the Triangle Sum Theorem, the sum of the measures of the interior angles of a triangle is 180°.

Hence:

m∠x° + m∠y° + m∠90° = 180°

65° + 25° + 90° = 180°

180° = 180° (True statement).

Therefore, the correct answer is: y = 25°. This measure represents either one of the ∠y.

an alloy is 70% iron. How much of this alloy do you need if you want to obtain 50.35 lb of iron?

Answers

Answer:

1007/20

Step-by-step explanation:

You helped me so i help you. Here you go my friends sorry i dont have an explanation. Good luck !

Use proportions.  X is what you want.

70      50.35lb

__  =   _____

100          x

Cross multiply to get 70x = 5035

Solve to get about 71.93 lbs of the alloy.

write the algebraic expression for 3 less than the product of Y and 2​

Answers

Answer:

2y-3

Step-by-step explanation:

the product of y and 2 is just multiplying

then 3 less means subt. 3

A motor that’s rated at 1/8 horsepower is used to drive a pump. How much horsepower will be applied to the pump if the motor delivers only 2/7 of its rated horsepower?
A. 23/56
B. 1/28
C. 2/15
D.7/16

Answers

Based on the information given, the fraction of horsepower that will be applied to the pump will be 1l28.

From the information given, it can be seen that the motor is rated at 1/8 horsepower and used to drive a pump.

Therefore, the fraction of the horsepower that will be applied to the pump if the motor delivers only 2/7 of its rated horsepower will be:

= 2/7 × 1/8.

= 2/56

= 1/28

Learn more about fraction on:

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how many feet in 13 miles, 176 yards?

Answers

69,168

Cause:

1 mile = 5280 ft
13 miles · 5280 ft = 68,640 ft

1 yd = 3 ft
176 yds · 3 ft = 528 ft

The graph below represents the function f(x) and the translated function g(x).
AVA
2x
/g(x)
a
If f(x) = x, which of the following functions could be an algebraic representation of g(x)?

Answers

Answer:

letter A.g(x)=x2+b that's the answer cause g(x) is in the positive

There are 12 girls and 8 boys in Ms. Crabapple's class. If 25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant, what percent of the entire class is going on the field trip?

Answers

Answer:

25%

Step-by-step explanation:

25% of 12 is 3

25% of 8 is 2

5 people out of 20 people

5/20 = 25%

25% percent of the entire class is going on the field trip

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

There are 12 girls and 8 boys in Ms. Crabapple's class.

The total number of students

12+8=20

25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant,

25% of the girls =0.25×12=3

25% of the boys =0.25×8=2

So the total number of students went to field trip

3+2=5

So out of 20 student, 5 students went to the field trip.

Which means 25% of the entire class is going on the field trip

Hence, 25% percent of the entire class is going on the field trip

To learn more on Percentage click:

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here's my question. ​

Answers

Answer:

use reciprocal

Step-by-step explanation:

PLEASE HURRY!! (No links)

Solve the inequality

−2 (k − 5) < −2k + 2

Answers

Answer: simplify 0<-8 no solution

Step-by-step explanation:

what number is its own opposite?

Answers

Answer:

0

Step-by-step explanation:

what number is its own oppositie?

The number 0 is the only number that is its own opposite.

Mr. Haynes wants to expand his rectangular living room to make room for an indoor theater system. He asks the contractor to make the width of the room 5 feet longer and he wants the length of the room to be 5 feet longer than twice the width. When finished the new room will have a perimeter of 140ft around. The new dimensions of the room will be

Answers

Step-by-step explanation:

check the image for detailed solution

Can anyone help me with this one asap? Thanks in advance.

Answers

The answer to your question is in the image above.

The ratio of the totals of the numbers in box A and box B is 2:3.
Swap two numbers, one from each box, so that the ratio of the totals of the numbers is now 9:11. Show your working.
Please answer asap!! :)

Answers

Answer:

Swap 10 from box A and 15 from box B

Step-by-step explanation:

For calculate the ratio between the boxes we find the mean of the box A and the mean of the box B and divide this two results.

For find the mean of a set you use the next formula  [tex]\bar{x} = \frac{\text{sum numbers}}{\text{total numbers}}[/tex]

[tex]\bar{A} = \frac{4+5+9+10+12}{5} = \frac{40}{5}= 8\\\bar{B} = \frac{6+7+13+15+19}{5} = \frac{60}{5}= 12[/tex]

Then the ratio is equal to [tex]\frac{\bar{A}}{\bar{B}} = \frac{8}{12} = \frac{2}{3}[/tex]

Know the ask us for a ratio of 9:11 then we know two things about the boxes.

If you swap the numbers between them the total of numbers in the mean not change is always 5 and the sum of all the elements in both boxes is always 100. With this we can state the next equation:

The new mean of [tex]\bar{A}[/tex] is 9 then:

[tex]\frac{\text{sum of elements in box A}}{5} = 9[/tex]

[tex]\text{sum of elements in box A} = 45[/tex]

The new mean of [tex]\bar{B}[/tex] is 11 then:

[tex]\frac{\text{sum of elements in box B}}{5} = 11[/tex]

[tex]\text{sum of elements in box B} = 55[/tex]

Now we know what is the sum of the elements in both boxes, but how we find the elements for swap? Well with the next relation.

When you take out a element from the box A this elements is substracted to the total sum of the elements in the box A and get a new sum of total of elements named [tex]c[/tex] (where [tex]a[/tex] is the element taken):

[tex]40 - a = c[/tex]

And when you sum an element to the box A the current sum of total elements in the box change to (where [tex]b[/tex] is the added element):

[tex]b + c = 45[/tex]

So replace [tex]c[/tex] for the first relation and get:

[tex]b + 40 - a = 45\\b - a = 5[/tex]

From the last equation you can deduct that [tex]b[/tex] is greater than [tex]a[/tex] and the different between both values is 5. So the last step is find a number in the box B that substracted to a number from the box A give us 5. These both numbers are 15 and 10 because 15 - 10 = 5.

4. How long would it take sound waves traveling through air that is 68°F to
travel 1,372 meters? Use an equation to solve the problem.

Answers

Answer:

2.7 seconds

Step-by-step explanation:

[] Temp of air: 68°F -> 20°C

[] Velocity of sound in air:

[tex]v=331.3\sqrt{1+\frac{T}{273.15} }[/tex]

[tex]v=331.3\sqrt{1+\frac{68}{273.15} }[/tex]

v ≈ 370.25 m/s

[] Last,

t = [tex]\frac{d}{v}[/tex]

t = [tex]\frac{1,372}{370.25}[/tex]

t ≈ 3.7056 ≈ 2.7 seconds

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

HURRY!
Which of the following is a geometric sequence?
1, 2, 4, 6, 8, 10, ..
-1, 0, 1, 2, 3, ...
2, -2, 2, -2, 2, -2, ...
5, 3, 1, -1, -3, ...

Answers

Answer:

C

Step-by-step explanation:

In a geometric sequence there is a common ratio. The common ratio is a number that you multiply each number of the sequence to get the next number.

A.

1, 2, 4, 6, 8, 10, ...

2/1 = 2

4/2 = 2

It looks like the common ratio is 2, but try the next division: 6/4 = 3/2

It is not 2, so there is no common ratio, and this is not a geometric sequence.

B.

-1, 0, 1, 2, 3, ...

0/-1 = 0

1/0 = undefined

There is no common ratio.

C.

-2/2 = -1

2/(-2) = -1

-2/2 = -1

The common ratio is -1.

This is a geometric sequence.

D.

3/5 = 3/5

1/3 = 1/3

No common ratio.

Answer: C

BRINLEST WIL BE GIVIN

Answers

Answer:

[tex]\huge\boxed{-0.001a^{n+1}}[/tex]

Step-by-step explanation:

[tex]-0.001a^{3n+3}=-0.001a^{3(n+1)}=(-0.001a^{n+1})^3\\\\\text{Used}\\\\a(b+c)=ab+ac\qquad\text{distributive property}\\\\(a^n)^m=a^{n\cdot m}[/tex]

39. The area of a triangle A varies jointly as b and h. If A = 225 in- when b = 18 in. and h = 25
in., find A when b = 35 in. and h = 40 in.
37

Answers

Answer: B

Step-by-step explanation:

Answer:

700 in^2

Step-by-step explanation:

If A = 225 in- when b = 18 in. and h = 25

225 = 18 * 25 / 2

a = 35 * 40 / 2

a = 700

Can some help me please I did one but I am not sure if it is correct.
thank you

Answers

Answer:

yes its correct

Step-by-step explanation:

but for the check where did you get the 12? you might want to redo that part but otherwise its right

HELP ME PLEASE !!!!!!!!

Answers

the picture is black and i can’t see the question, maybe reupload the question??

Andrew made a list of chores he needed to complete before his father comes home from work. On the chart, he showed the time it would take him to complete each chore.

If Andrew’s father is expected home at 6:00 p.m., what is the latest time Andrew could begin his chores?



Use the Hint to view the conversion chart.

Answers

Answer: the answer is 3:20pm!

Step-by-step explanation:

i got the question correct just now!

Answer:

3;20

Step-by-step explanation:

Find the average of the following numbers: 55.1, 67.9, 59.2, 64.1, 61.8, 62.7. Round
your answer to one decimal place *
Your answer

Answers

Answer:

61.8

Step-by-step explanation:

[tex] \frac{55.1 + 67.9 + 59.2 + 64.1 + 61.8 + 62.7}{6} [/tex]

61.8 is the answer to 55.5 576

i'll be asking a lot of questions because this assignment has like 50 questions
PLEASE ANSWER WITHIN THIS HOUR!
You and your friend decide to have a road trip. If a car travel 280 miles in 7 hours. How far will it travel in 12 hours?
Thank you for your help!!

Answers

Answer:

480 miles

Step-by-step explanation:

Well, firstly - no idea, as cars can go slower or faster and there is no indication that this particular car would maintain the exact same avg. speed over 12 hours.

There is no way to solve this otherwise though, so we'll assume the car's speed is constant.

280mi / 7h = 40mph

40mph * 12h = 480mi

Two numbers have a sum of 18. Their product is 72. Find the numbers

Answers

Answer:

Step-by-step explanation:

x + y = 18

y = 18 - x

xy = 72

x(18 - x) = 72

-x² + 18x = 72

0 = 72 - 18x + x²

x = (18 ± √(18² - 4(1)(72))) / (2(1))

x = (18 ± 6)/2

x = 12

x = 6

b. Symbols Write an expression for the number of feet in x inches.
Help!!

Answers

Answer:

  x/12

Step-by-step explanation:

There are 12 inches in a foot.

  feet in x inches = x/12

_____

With units, you have ...

  (x in) × (1 ft)/(12 in) = x/12 ft

please help me with this sum I will mark you as brainest​

Answers

Answer:

6/8 × 6 = 9/22/5 × 4 = 8/59/3 × 9 = 277/4 × 8 = 148/6 × 2 = 8/34/9 × 7 = 28/93/8 × 3 = 9/87/2 × 4 = 146/3 × 6 = 12 8/9 × 3 = 8/3

Hope It's Help

need some help with these!!

Answers

The answer is 24

Explanation: just divide by 2
It is C. 24

Because triangle A is double the size of triangle D

32/2 =16
40/2 = 20

48/2 = 24

Quadrilateral BCHS is a parallelogram with diagonal BH

intersecting diagonal CS at P.

angle BCH = 3x-3.86

angle CHS = 2x+6.58

Find the measure of angle HSB

Answers

Answer:

Step-by-step explanation:

HSB will equal BCH

The four internal angles of a parallelogram sum to 360°

Opposite internal angles are equal.

2(3x - 3.86) + 2(2x + 6.58) = 360

6x - 7.72 + 4x + 13.16 = 360

10x = 354.56

x = 35.456

HSB = (3(35.456) - 3.86) = 102.508°

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