The difference between two numbers is 108. Six times the smaller is equal to 7 more than the larger. What are the numbers?

Answers

Answer 1

Answer:

The smaller number is 23.

The bigger number is 131.

Step-by-step explanation:

"difference" means subtraction. In this question "more than" means adding. This can be done with one variable. And would take more reasoning with the meaning of the words, but less complicated algebra.

If you are learning systems of equations in high school or college, then you may want to use two variables. The set up is way more straight forward. But then you also need strategies to solve a system of equations.

There are two solutions attached. You only need one that matches the math you are studying. see images.

The Difference Between Two Numbers Is 108. Six Times The Smaller Is Equal To 7 More Than The Larger.
The Difference Between Two Numbers Is 108. Six Times The Smaller Is Equal To 7 More Than The Larger.

Related Questions

The ratio 6 to 24 is equivalent to what ratio?

Answers

It’s 1:6 or 1 to 6 as both the number are divisible by 6

What is the measure of angle B in the triangle?

Answers

Answer:

22°

..........

......

......

.....

.....

......

Show how to solve \/2x+1-4=-1

Answers

Answer: X=5/8

Step-by-step explanation:

2*x-1/4-(1)>0

Step 1 Simplify: 1/4

(2x-1/4)-1>0

Step 2 Rewrite the whole number in an equivalent fraction:

(Subtract a fraction from a whole)

2x=2x/1=2x*4/4

Adding Fractions that have a common denominator:

2x*4-(1)/4=8x*1/4

The equation at the end of step 2:

(8x-1)/4-1>0

Step 3 Rewrite the whole as an equivalent fraction:

1=1/1=1*4/4

Adding Fractions that have a common denominator:

(8x-1)-(4)/4=8x-5/4

The equation at the End of Step 3:

8x-5/4>0

Step 4:

Multiply both sides by 4 then Divide both sides by 8.

So the answer is

x>5/8

I know it seems a lot but it's just the way I learned it. I hope you understand.

What is the slope of the line that passes through the points (−10,−8) and (−9,−8)? Write your answer in simplest form.

Answers

Answer:

slope=0

Step-by-step explanation:

The required slope of the line is zero which implies that the given line is parallel to the x-axis.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
The slope of the line that passes through the points (−10,−8) and (−9,−8) is given as,

m = (y₂ - y₁) /  (x₂ - x₁)

Substitute values in the above equation,
m = -8 + 8 / -9 +10
m = 0

Thus, the required slope of the line is zero which implies that the given line is parallel to the x-axis.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2

3 1/2 is to 5 as X is to 15

Answers

Answer:

Answer:

[tex]x = 10.5[/tex]

Solving steps:

3 1/2 = 5, x = 15

divide 3.5 by 5

=> 0.7

0.7 by 15

=> 10.5

The correct answer is 10.5 I think someone answered already

I’m having trouble understanding this can someone help please and thank you

Answers

When it is asking you to solve a system of equations, it means that it wants you to find the value of the variables, in this case, x and y.

3x + 2y = 1  -- equation 1

y = x - 12 -- equation 2

Put (equation 2)'s value of y into (equation 1)

3x + 2(x-12) = 1

3x + 2x - 24 = 1

5x - 24 = 1

5x = 25

x = 5 -- equation 3

Put (equation 3)'s values of x into (equation 2)

y = 5 - 12 = -7

Thus the solutions are x = 5 and y = -7 and we have solved the system of equations.

Hope that helped!

f(x)=x/3-2 g(x)=3x^2+2x-6 (f+g)(x)

Answers

Answer:

Hope it helps bhhhhbbbbbbhb

A copy machine makes 24 copies per minute. How many copies does it make in 5 minutes and 15 seconds?

Answers

Answer: it makes 126 copies

Explanation:

15/60=6/24

5x24=120

6+120= 126

$10,000 is compounded quarterly at 12% interest for t years. What expression represents the amount of money after t years?

Answers

Answer:

12%

Step-by-step explanation:

Find the value of x for the triangle.

Answers

Answer:

Step-by-step explanation:

8x + 2 + 70 + 60 = 180   {angle sum property of triangle}

8x + 132 = 180

         8x = 180 -132

        8x = 48

        x = 48/8

x = 6

Answer:

x = 6

Solution:

Here, we are given a triangle with 2 of its angle , the third angle is in the form of variable equation .

We will use the angle sum property of triangle to find the value of variable i.e x in the given triangle.

Here,

∠A = 70°

➙ ∠B = 60°

➙ ∠C = 8x + 2

Angle sum property

It states that the sum of all angles of a triangle is 180°

‎ㅤ‎ㅤ‎ㅤ➙ ∠A + ∠B + ∠C = 180°

‎ㅤ‎ㅤ‎ㅤ➙ 70° + 60° + ∠C = 180°

‎ㅤ‎ㅤ‎ㅤ➙ 130° + ∠C = 180°

‎ㅤ‎ㅤ‎ㅤ➙ ∠C = 180° - 130°

‎ㅤ‎ㅤ‎ㅤ➙ ∠C = 50°

‎ㅤ‎ㅤ‎ㅤ➙ 8x + 2 = 50 ‎

‎ㅤ‎ㅤ‎ㅤ➙ 8x = 50 - 2

‎ㅤ‎ㅤ‎ㅤ➙ 8x = 48

‎ㅤ‎ㅤ‎ㅤ➙ x = 48 / 8

ㅤ‎ㅤ‎ㅤ➙ x = 6

36. Find m2 in isosceles trapezoid ABCD.
Given: m A = 60

Answers

Answer:

120

Step-by-step explanation:

Isosceles trapezoids have supplementary opposite angles

180 - 60 = 120

Both angle D and angle C are 120

Milan bought 8 pounds of rice for $3. How many pounds of rice did he get per dollar?

Answers

Answer:

$2.67

Step-by-step explanation:

You would do 8/3 which is 2.666666667 which when rounded to the nearest hundredth is 2.67

Hope this helps!

PLEASE HELP IM RUNNING OUT OF TIME

Answers

Answer:

the answer is 160 that the answer

What fraction with a denominator of 100 is equivalent to 0.43?

Answers

Answer:

[tex]\frac{43}{100}[/tex]

Step-by-step explanation:

Think of it as a percentage. 43% is [tex]\frac{43}{100}[/tex] , but it is also 0.43. Any number over 100 will be put into a similar decimal format ([tex]\frac{12}{100}[/tex] = 0.12  and [tex]\frac{4}{100}[/tex] = 0.04)

The fraction with a denominator of 100 is equivalent to 0.43 is,

[tex]\frac{43}{100}[/tex].

Here,

We have to find fraction with a denominator of 100 is equivalent to 0.43.

What is Fraction?

A fraction is used to represent the portion/part of the whole thing.

Now,

Let a fraction with a denominator of 100 is [tex]\frac{x}{100}[/tex].

And, its equivalent to 0.43.

Hence,

[tex]\frac{x}{100} = 0.43[/tex]

[tex]x = 43[/tex]

So, A fraction with a denominator of 100 is [tex]\frac{43}{100}[/tex].

Which is equivalent to 0.43.

Learn more about the Fraction visit:

https://brainly.in/question/5112127

#SPJ2

What is the currency of Denmark?

Answers

Answer:

D a n I s h K r o n e ...........

I Think The Answer Is krone

A room is 12 feet long, 14 feet wide, and 11 feet high. The walls, ceiling, and floor are all to be painted the same color. How many square feet must be covered with paint?

Answers

Answer:

908 feet²

Step-by-step explanation:

To paint walls, we will be looking for surface area.

      Since this is a room and we have three measurements, we can assume there will be the floor, the ceiling, and four walls. This means we will be looking for 6 sides in total.

-> See attached for a diagram I made of the sides we need

-> Keep in mind opposite pairs of walls will be the same, and the floor and ceiling will be the same.

     

      We end up with the following sides:

          11 * 12

          11 * 12

          11 * 14

          11 * 14

          12 * 14

          12 * 14

      We can simplify this to the following:

(2(11 * 12)) + (2(11 * 14) + (2(12 * 14) = 908 feet²

908 feet² must be covered with paint.

Write two Equivalent ratios 7/8

Answers

Answer:

14/16? is this correct or would it be 3.5/4. Also what kind of Math is this.

Step-by-step explanation:

One and Two step equations Escape Room.: The teeth on this key are busted. Now they must be readjusted. Find the code.

Answers

The code for Escape Room is MCYHW.

Inequalities

Inequalities is a mathematic expression that do not present equalitiy between both sides. It is represented by symbols: <, , > and .

For solving this exercise, firstly, you should solve the inequalities identified by letters: H, W, M, Y and C. After that, you should relate yours anwers with the options given for the exercise.

Inequality H

                       [tex]-11x-4 > -15\\ \\ -11x > -15+4\\ \\ -11x > -11\; *(-1)\\ \\ 11x < 11\\ \\ x < 1[/tex]

Therefore, you should connect H with x<1.

Inequality W

                       [tex]32 > -16x\\ \\ Rewriting \\ \\ -16x < 32 \\ \\ -16x < 32\; *(-1)\\ \\ 16x > -32\\ \\ x > \frac{-32}{16} \\ \\ x > -2[/tex]

Therefore, you should connect W with x>-2.

Inequality M

                       [tex]3+x\leq -9\\ \\ x\leq -9-3\\ \\ x\leq -12[/tex]

Therefore, you should connect M with x≤-12.

Inequality Y

                       [tex]-7x+7\leq -56\\ \\-7x\leq -56-7\\ \\ -7x\leq -63\\ \\ -7x\leq -63\; *(-1)\\ \\ 7x\geq 63\\ \\ x\geq \frac{63}{7} \\ \\ x\geq 9[/tex]

Therefore, you should connect Y with x≥9.

Inequality C

                       [tex]-20\geq -5x+15\\ \\Rewriting\\ \\ 5x+15\leq -20\\ \\ -5x\leq -20-15\\ \\ -5x\leq -35\\ \\-5x\leq -35\; *(-1)\\ \\ 5x\geq 35\\ \\ x\geq \frac{35}{5} \\ \\ x\geq 7[/tex]

Therefore, you should connect C with x≥7.

Thus, the sequence is:

M - [tex]x\leq -12[/tex]

C - [tex]x\geq 7[/tex]

Y- [tex]x\geq 9[/tex]

H- [tex]x < 1[/tex]

W- [tex]x > -2[/tex]

Read more about inequalities here.

https://brainly.com/question/25275758

find the volume of this prism 8cm 9cm 11cm

Answers

Answer:

792 cm

Step-by-step explanation:

8*9*11=792

72*11=792

72+720=792

Answer:

The answer is 396 i hope it helps!

The number of eggs in the refrigerator e decreased by 5 equals 18

Answers

Answer:

I think its 5e = 18

I hope this helped! :)

Answer:

23 eggs

Step-by-step explanation:

e-5 = 18

e = 18+5

=23

answer thissss pleaseee

Answers

Answer:45 degree angle

Step-by-step explanation: am smart

answer: angle J equals 80°
explanation:

Find the degree of the monomial: 18x^6y^2

Answers

Answer:

8

Step-by-step explanation:

Exponent of x = 6

Exponent of y = 2

Degree of the monomial = 6 + 2 = 8

The Sum of a number and two times a smaller number is 62. Three times the bigger number is C the smaller number by 116 the bigger number is? The smaller number is?

Answers

Answer:

x = 10

y = 42

Step-by-step explanation:

The sum of a number and two times a smaller number is 62

2x+y=62

so y=62−2x

Three times the bigger number exceeds the smaller number by 116

x+116=3y

substitute for y:

x+116=3(62−2x)

x+6x=186−116

7x=70

x=10

3y=10+116=126

#y = 126/3 = 42

What is the ratio 2 1/7 to 3 4/7 as a simplified fraction?

Answers

2 1/7 = 15/7
3 4/7 = 25/7

Ratio = 15/7 : 25/7 = (15/7) / (25/7)
= 15/7 x 7/25
=15/25
=3/5
=3:5

Answer = 3:5

1. Find the x- and y-intercept of the line. (1 point)
x - y = 12

Answers

The x-intercept is when the value of the y-coordinate is 0.

   [tex]x - 0 = 12\\ x = 12[/tex]

Thus the x-intercept is at (12,0).

The y-intercept is when the value of the x-coordinate is 0

   [tex]0-y=12\\y = -12[/tex]

Thus the y-intercept is at (0,-12)

from 1-50, How many
Of them are perfect
numbers:

Answers

Answer:

2 of them are perfect numbers and they are 6 and 28

Step-by-step explanation:

because they are one of the first 5 perfect numbers!

Hope this helps :)

if 9 is added to a number x the result is greater than 17. Find the range of values of x

Answers

The solution of inequality shows that the range is x >8.

Domain and Range

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.

While the domain is related to the values ​​of x, the range is related to the possible values ​​of y that the function can have.

Inequalities

Inequality is a mathematical expression that does not present equality between both sides. It is represented by symbols: <, , > and .

For solving this question, you should convert the text of the problem into an algebraic expression. Consequently, you will have:

                                           x+9 > 17

                                           x > 17-9

                                           x > 8

Therefore, the range is x>8.

Learn more about the range here:

https://brainly.com/question/10197594


What is the classification of the pair of angles shown
34°
146°

Answers

They are supplementary angles.

The tree diagram represents an
experiment consisting of two trials.

Answers

The probability defined as P(A and C) is the probability of P(A) × P(B) = (0.6 × 0.3) = 0.18

The probability of A ; P(A) from the tree diagram is 0.6

The probability of B ; P(B) from the tree diagram is 0.3

The probability, P(A and B) equals ;

P(A) × P(B) = 0.6 × 0.3 = 0.18

Therefore, probability of A and B is 0.18

Use the Distributive Property to simplify the expression.
4(c-2)

Pls, help...

Answers

Answer:

4c-8 or 4c+(-8)

Step-by-step explanation:

4xc- 4x2

Answer:

4c - 8

Step-by-step explanation:

4(c-2)

4c - 8

you have to multiply the 4 by each one in the bracket

but c is a variable so you dont know what number it is. so you just write 4c because that means 4 times whatever c is

Other Questions
Next, the team wants to explore how it can change the steepness of the curved pit.Identify how the graph of each equation compares with the graph of the parent quadratic equation, y = x2.Drag the equations to the correct location on the chart. Not all equations will be used. x 7 if x = what is the value of this expression? 4 how to know if the tringal is congruent Pedro's family took a road trip to Niagara Falls. Pedro fell asleep 74% of the way a through the trip. If Pedro fell asleep after they had travelled 666 miles, what was thetotal length of the trip? complete melting of a rock Which organisms of Kingdom Eubacteria cannot make their own food?autotrophsthermotrophshelotrophsheterotrophs 1. A point at (-4, 7) is rotated 90 clockwise about the origin.What are the new coordinates for the point? i need it in 5 mins please Cody is an intrapreneur for a multinational wearable electronics company. Which statement best describes Cody's duty what is the answer to j + 69 4 = 8 #11 iSolve the system of linear equations.6x+2y = 162x - y = 2 Hi! I need help with b, I answered a, but I need help with b. This is due tomorrow and I am giving 15 points! Thank you! :)(19 and 20) The vertices of triangle QRS are (plot it):Q(-1,1)R(2,-3)S(-1,-3)(a) What is the area of the triangle?Area is 6 units squared(b) Move point Q to a different location so that the triangle has the same area. What are the new coordinates for Q? Select the graph that represents h=-16t2+80 POVIdentify the narrator's point of viewCecilia thought, "Will mom think I've done a good job washing the dishes?" Complete each sentence with a word from the box During the final years of the nineteenth century, American architect ____________ was becoming known to European artists and designers not only for hi Help me I dont know the answer and Im struggling badly What document was apartheid first spoken about Suppose that x is a differentiable function of t and that y=5x+4, thendy/dt= Use either dx/dt or x'(t) in your answer.If dx/dt=6 when x=-2, thendy/dt|x=-2= 17/100+ 6/10+17/100+ ?/100=?