Mathematics College

the difference of two numbers is 7. Three times the greater number is 72. find the numbers​

Answers

Answer 1

Answer:

[tex]\huge\boxed{\tt{x = 24, y = 17}}[/tex]

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

So,

Condition # 1:

x - y = 7 --------------(1)

Condition # 2:

3x = 72 --------------(2)

Taking Eq. (2)

3x = 72

Divide both sides by 3

x = 72 / 3

x = 24

Now, Put x = 24 in Eq. (1)

24 - y = 7

Subtract 24 to both sides

-y = 7 - 24

-y = -17

y = 17

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Related Questions

Emilio spent $21 at the state
fair. He paid $3 for admission and bought
12 tickets for rides. Solve the equation
12t +3= 21 to find the cost of each
ticket

Answers

Answer:

t = $1.5

Steps:

12t+3 = 21

12t = 21-3

12t = 18

t = 18/12

t = 3/2

t = $1.5

find the average rate of change of the function y=f(x)=1/(x-1)^2-8 with respect to x on the interval -2≤x≤0
​

Answers

Answer:

The average rate of change is (f(3)-f(0))/3=(7-0)/3=7/3.

Step-by-step explanation:

Write the equation for a line with a slope of 1/3 that passes through the point 6,12

Answers

Answer:

y-12=1/3(x-6)

Step-by-step explanation:

Using the slope intercept form:

[tex]y - yo = m(x - xo) [/tex]

We can see from the given point (6,12) that yo = 12 and xo = 6. The slope, m, is 1/3. Plugging in the values gives us this equation in slope-intercept form that can then be converted to any other form.

What is the 100th term of this sequence:

an=2n-5

Answers

a(100) = 2(100) - 5 = 195

This means 195 is the 100th term. Hope this helps!!

The 100th term of the sequence is 195.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

a(n) = 2n - 5

For n = 100,

a(100):

= 2 x 100 - 5

= 200 - 5

= 195

Thus,

The 100th term is 195.

Learn more about arithmetic sequence here:

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At the book sale, all books cost less than $5.

Answers

Is This A Good Or Bad Thing?

Answer:

then the books will cost 5.30

Step-by-step explanation:

don't forget to add 6 cents per dollar

Expand the following expression −7(5x−8)
Select one:

5x+56

35x−8

56−35x

21x

Answers

-7(5x-8)
=-35x + 56

which is basically 56-35x if u swap it around

Which table of values represents a linear functions?

Answers

Answer:

D

Step-by-step explanation:

Help please hurry it not a test but hurry no links, please

Answers

Answer:

  33 1/3%

Step-by-step explanation:

The percentage change is ...

  difference/base × 100% = (120000 -90000)/90000 × 100%

  = 1/3 × 100% = 33 1/3%

452 x 12 _____ = 452
fill in the blank

Answers

Answer:

38 remander 8

Step-by-step explanation:

25 liters of water are pumped into a dam in 20 seconds

how much water will be pumped in within 3 minutes???​ help please

Answers

1 minute = 60 seconds.

3 minutes x 60 seconds = 180 seconds.

180 seconds / 20 = 9

25 liters x 9 = 225

Total water in 3 minutes = 225 liters

Answer:

225 liters

Step-by-step explanation:

There is 25 liters in 20 seconds, so you keep adding 20 seconds while adding 25 liters each time. 180 = 3 minutes

25   20

50   40

75   60

100  80

125  100

150  120

175   140

200  160

225  180

Please help me or would be greatly appreciated

Answers

A 40 degrees and 40 degrees

9514 1404 393

Answer:

  A.  40° and 40°

Step-by-step explanation:

The triangle cannot have two angles measuring 100°, so the remaining two angles must be equal to each other. This eliminates choices B and D.

The sum of angles in the triangle must be 180°. This eliminates choice C.

The two other angles must both be (180° -100°)/2 = 40°.

calculate the 25% of 6 hours 20 minutes​

Answers

6 hours and 20 mintues = 380 mintues

25% of 380 = 95 mintues = 1 hour and 35 mintues

Step-by-step explanation:

your welcome also use the website calculator.net it had a percentage calculator

Answer:

The answer is 95 minutes.

Step-by-step explanation:

1. Convert 6 hours to minutes which would lead to 360 minutes.

2. 360 minutes + 20 minutes = 380 minutes.

3. Now find 25% of 380 minutes.

How I found 25%.

1. 50% of 380 = 190.

2. 50% of 190 = 95.

Now since the half of our base half is 95 then 2 halfes are 2 25% but we need 1 only so we can conclude that, 25% of 380 minutes is 95.

Hope this helped :).

Will give brainliest

a. 336 cubic centimeters
b. 48 cubic centimeters
c. 248 cubic centimeters
d. 168 cubic centimeters

Answers

Answer:

A.336 cubic centimeter

Step-by-step explanation:

6cm×8cm×7cm=336

PLEASE HELP DUE IN 3 minutes

Answers

Answer:

Answer is B

Step-by-step explanation:

Solve the equation for x: 126 = 3x.
A. x = 378
B. x = 129
C. x = 123
D. x = 42

Answers

Answer:

The answer is answer D, x=42.

Step-by-step explanation:

To isolate the variable, you need to divide both sides of the equation by three, using the division property of equality. 126/3=42 , and 3x/3=x , this gives you 42=x, or x=42, meaning the answer is D.

A company has a maximum advertising budget of $100,000 for the year. It
will be using two different platforms of advertising: online ads and billboards. Each online ad purchased will cost $15,000 for the year, and each billboard will cost $10,000 for the year. The company will not spend more than 60% of its overall budget on one of the platforms.Given that x represents the number of online ads purchased and y represents the number of billboards purchased, create a system of inequalities modeling the scenario. Select all that apply.

Answers

Answer:

Step-by-step explanation:

The figure below is formed from a triangle and a
square. The square has sides that measure 5 units.
Find perimeter of the entire figure.

Answers

Perimeter = all the sides added together
All the sides of the square are 5 and you can count the sides of the triangle because they are horizontal and vertical.

5 + 5 + 5 + 4 + 3 = 22

Perimeter = 22 units

Given that the measure of ∠x is 20°, and the measure of ∠y is 30°, find the measure of ∠z.

Answers

Answer:

40°

Step-by-step explanation:

z+90+y+x=180°

z+90+30+40=180°

z=40°

Angle Z would be 40°

The top half of the image is 180° In total and the red square represents 90°,

And since angle X is 20° and angle Y is 30° thats 50° total leaving a total of 40° unknown for the top half making that 40°

Answer: Z=40°

Yolanda will run more than 33 miles this week. So far, she has run 18 miles. What are the possible numbers of additional miles she will run?
Use t for the number of additional miles she will run.
Write your answer as an inequality solved for t.

Answers

Answer:

Based on the question, Yolanda will run less than 26 miles but more than 16 miles (because she has already attained 16 miles in total).

Step-by-step explanation:

sorry if im late

someone do this pls help?

Answers

It’s easy for the first one you add 10 each time

ans.................

Which is a feature of function g if g(x) = -f(x-4)

A) Y-Intercept at (0,-4)
B) X- intercept at (5,0)
C) vertical asymptote of x=-4
D) horizontal asymptote of Y=4

Answers

Answer:

B

Step-by-step explanation:

Plato

The x- intercept of g(x) is at (5,0), the correct option is B.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The function is g(x) = -f(x-4)

The x intercept is when y =0

The function in the graph f is 0 at x =1

g(x) = -f( 5-4) = -f(1) = 0

To know more about Function

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Write an equation for a term value of 14. Solve your equation.

Answers

Answer:

[tex]x {}^{2} - 2x - 1 = 14 \: where \: x = 5[/tex]

Urgent help please !!!

Answers

Answer:

The answer is A. 3x + 3

Step-by-step explanation:

Umm yea its that

Mary has a garden shaped like the figure below. The drawing is not to scale.
22 ft
18 ft
18 ft
11 ft
14 ft
5 ft
What is the area of the garden?

Answers

Answer:

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

14 x 5=70

22 x 4 = 88

14 x 6 =84

84/2= 42

70 + 88 + 42 = 200

Find the linear equation that is the straight line through (1, 2) and (8, 30).​

Answers

Slope
= 30-2/8-1

= 28/7

= 4


Equation:
y - 2/x - 1 = 4

y - 2 = 4(x-1)

y - 2 = 4x - 4

y = 4x - 4 + 2

y = 4x - 2

Answer:

y = 4x - 2

Step-by-step explanation:

→ First find the gradient

[tex]\frac{x2-x1}{y2-y1} =\frac{30-2}{8-1} = 4[/tex]

→ Put into y = mx + c format

y = 4x + c

→ Substitute ( 1 , 2 ) into y = 4x + c

2 = 4 + c so c = -2

→ Rewrite into equation format

y = 4x - 2

Find the square root of -162 and please explain your answer

Answers

Answer:

12.7279221 i

Step-by-step explanation:

Round to 13 or 12.7

What is the length of DE?
O 1 unit
O 3 units
O
4 units
4 units
o

Answers

Answer:

3 units :D

Step-by-step explanation:

If q||r, solve for x.

Answers

Answer:

x = 17

Step-by-step explanation:

They are alternate exterior angles, so they are congruent. This means that:

[tex]7x - 10 = 9x - 44\\34 = 2x\\x = 17[/tex]

The value of x, if the lines  7x - 10 and 9x - 44 are parallel, is 17.

What is a line?

Lines are defined as objects with an infinite length and no width, depth, or curvature. Lines are one-dimensional objects even though they can occur in contexts that are two, three, or higher dimensional.

Given:

The equations of lines are 7x - 10 and 9x - 44,

As we know, the line parallel has the same slope,

The condition of parallel lines ca be written as,

[tex]L_1 / L_2 = 1[/tex]

Here, L₁ and L₂ are equations of lines,

7x - 10 / 9x - 44 = 1

9x - 44 = 7x - 10

9x - 7x = 44 - 10

x = 34 / 2

x = 17

To know more about the line:

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The answer is 7/5
Please help:)

Answers

1.4 because if you do your math it gives you a sum of 1.4

Answer:

AB = 1.4 or 7/5

Step-by-step explanation:

(Excuse my rambling but I wanted to be sure of myself)

AD = 2(5/2) = 5

AD is a diameter.

any triangle in a circle with the hypotenuse as the diameter is a right triangle.

Draw a line from point A to point C.

ΔACD is a right triangle.

Solve for ∠CAD:

sin CAD = 3/5 = 0.6000

∠CAD = 36.87°

arc CD = 2 x 36.87°  = 73.74°

arc BC = arc CD = 73.74°

arc DB = 147.48°

∠BAD = 1/2 (147.48°) = 73.74°

draw a line from point D to point B

ΔBAD is a right triangle.

cos 73.74° = AB/5

AB = 1.4

help for 10 points plsssss

Answers

Answer:

on   math  way you can take a picture of your problem. hope those helps

Step-by-step explanation:

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