One number exceeds another by 20 . The sum of the numbers is 78. What are the numbers

Answers

Answer 1

Answer: 2 numbers are 19 and 39

Step-by-step explanation:

y = x + 20

Equation: x + y  + 20 = 78

⇔ x + y = 78 - 20

⇔ x + y = 58

⇔ y = 58 - x

So, we have:

x + 20 = 58 - x ( = y)

⇔ x + x = 58 - 20

⇔ 2x = 38

⇔ x = 19

⇒ y = x + 20 = 19 + 20 = 39


Related Questions

A circle has a circumference of 113.04 units.

Answers

Answer:

The answer may or may not be either the diameter is 36 units, or the radius is 18 units.

Step-by-step explanation:

Since there is no question, then I am just assuming the question is what is the diameter or the radius. You would find this by dividing the circumference by pi:

113.04 / 3.14 = the diameter is 36

36 / 2 = the radius is 18

I hope this was helpful!!! Could I get brainliest?

Have a nice day!!

David measures a side of a piece of wood. The length is 8 feet and the width is one-half of the
length. What is the area, in square feet, of the piece of wood?

Formula:
Area = Length x Width

Answers

Answer:

32

Step-by-step explanation:

8÷2=4 8(length)x4(width)=32(area)

Which equation represents a line that is parallel to the line y = - 4x +5?
(1) y = - 4x + 3
(2) y=1/4x+3
(3) y=-1/4x+5
(4) y = 4x +5

Answers

y= -4x+3

slope is still the same so it would be parallel to that line. Only the y-intercept is different so it would just pass through a different point

option 1 is the answer.

Which of the fractions shown has the greatest value?

24

47

13

49

Answers

Answer:

i’m pretty sure it should be 49..?
I think is 49 since is the bigger number lol

Find the surface area of the regular pyramid

Answers

Answer:

26.8

Step-by-step explanation

which features describe the graph of y^2/96^2 - x^2/40^2 = 1? select two options

◽️a focus at (104, 0)
◽️a focus at (0, - 96)
◽️a vertex at (- 40, 0)
◽️a vertex at (0, 96)
◽️the center at (0, 0)

Answers

Answer: d and e

Step-by-step explanation:

Edge 2021

The option describes graph 4. a vertex at (0, 96), and 5. the center at (0, 0) from the given equation  [tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given equation is

[tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]

From the given equation,

a = 40

b = 96

(h,k) = (0,0),

The vertices are at (0,96) and at (0, -96).

The curves open upward and downward.

c² = a² + b²

c² = 40² + 96²

c² = 10816

c = 104

Therefore the foci are at (0, -104) and (0, 104).

Hence, the option describes the graph

4. a vertex at (0, 96) is correct.

5. the center at (0, 0) is correct.

Learn more about equations here;

https://brainly.com/question/27056029

#SPJ2

I need help Asap , please.

Answers

LOL LOL LOL LOL LOL LOL LOl LOL

Enter "y" or "n" to tell which value of x that make each equation or inequality true.

Answers

Answer:

First row (2x + 5 = 9) is N Y N

Second row (2x + 5 < 9) is Y N Y

Third Row (2x+ 5 _< 9) is N Y Y

What will happen to a cup of water if it is left in the sun for an extended amount of time? A. It will increase in volume B. It will decrease in volume C. It will stay the same volume

Answers

Answer:

c

Step-by-step explanation:

correct me if I'm wrong

Answer:

B-It will decrease in volume

Step-by-step explanation:

If I am not mistaken, the water, if left in the sun, will evaporate when heated, so the volume will decrease.

the difference of x and y is the same as 3 times the sum of x and 2

Answers

Answer:

x - y = 3(x + 2)

x - y = 3x + 6 is the simplified answer and is also correct

Step-by-step explanation:

The difference of x and y is the same as 3 times the sum of x and 2

x - y = 3(x + 2)

x - y = 3x + 6

ADD TEXT Find the 14th term of the sequence: 2, 4, 8, 16...

a.4096
b.8192
c.16384
d.65536​

Answers

Answer:

it's actually 32,768 so yeah

but choose either c or d

A manufacturer has 5,634 pens to divide into packs of 4 pens. The manufacturer makes as many packs as possible.

How many packs of pens does the manufacturer make, and how many pens are left over?

Answers

Answer:

1408 packs

2 pens left over

Step-by-step explanation:

5634 / 4 = 1,408.5

half a pack is 2 pens

1408 packs

2 pens left over

Find the value of H if H = I^2 R^t÷4.2,R =8.3,I=2.4 and t=37

Answers

Answer:

[tex]H = 6492.97[/tex]

Step-by-step explanation:

Given

[tex]H = \frac{I^2Rt}{4.2}[/tex]

[tex]R =8.3;\ I=2.4;\ t=37[/tex]

Required

Find H

We have:

[tex]H = \frac{I^2Rt}{4.2}[/tex]

[tex]H = \frac{37^2 * 8.3 * 2.4}{4.2}[/tex]

Solve the exponents

[tex]H = \frac{1369 * 8.3 * 2.4}{4.2}[/tex]

[tex]H = \frac{27270.48}{4.2}[/tex]

[tex]H = 6492.97[/tex]


Find the measure of HJK

Answers

Answer:

m<HJK = 40°

Step-by-step explanation:

Given:

m<HJK = 3x - 2

m<KJL = 50°

Required:

m<HJK

Solution:

m<HJK + m<KJL = 90° (complementary angle)

Substitute

3x - 2 + 50 = 90

Add like terms

3x + 48 = 90

3x + 48 - 48 = 90 - 48

3x = 42

3x/3 = 42/3

x = 14

✅m<HJK = 3x - 2

Plug in the value of x

m<HJK = 3(14) - 2 = 42 - 2

m<HJK = 40°

HELP ME PLEASEEEEEEEEEEEEEEEEEEE

Answers

Answer:

heyy matee...

see

Vertices (V) = 8

Faces (F) = 6

Edges (E) => F + V - E = 2 (EULER'S FORMULA)

so 6 + 8 - 2 = E => E = 12

now just look at options

and however its a common thing that if Vertices are 8 and Faces are 6 and Edges are 12 then it is cube or cuboid

and another name of cuboid is rectangular prism ;)

hence answer is option c - rectangular prism

brainliest possible ?

Cube X has Edge 1 in. tube why has an edge 4in longer than Cube X. which of the following describes the relationship between the cubes?

a. the volume of cube why is 125 times the volume of cube X
b. the volume of cube why is 25 times the volume of Cube X
c. the volume of cube x is 1/4 the volume of Cube Y
d. the volume of cube x is 1/5 the volume of Cube Y

Answers

9514 1404 393

Answer:

  a. the volume of cube y is 125 times the volume of cube x

Step-by-step explanation:

The volume of cube x is ...

  V = s³ = (1 in)³ = 1 in³

The volume of cube y is ...

  V = (1 in + 4 in)³ = (5 in)³ = 125 in³

The volume of cube y is 125 times the volume of cube x.

The Unit Circle

What is the domain of a cosine function?

a. irrational numbers
b. All real numbers
c. rational numbers
d. positive integers

Please select the best answer from the choices provided

Answers

Answer:

B. All real numbers

Step-by-step explanation:

I calculated it logically

Answer:

B) All real numbers

The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .

The current altitude of the plane is 15400 feet above the ground and the plane's horizontal distance to the airport is 200000 miles away. What angle of depression must the pilot make on his descent in order to safely land on the runway>

Answers

Answer:

0.441°

Step-by-step explanation:

tan = 1540/200000

tan = 0.0077

tan-1(0.0077) = 0.441

angle of depression is 0.0441°

PLEASE HELP ME PLEASEE !

Answers

Answer:

[tex]\sigma = 0.831[/tex] --- Standard deviation

[tex]Mode = 10[/tex]

Step-by-step explanation:

Given

[tex]x = 9,8,10,9,8,10,9,10,8,10[/tex]

Solving (a): The population standard deviation

First, we calculate the mean

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{9+8+10+9+8+10+9+10+8+10}{10}[/tex]

[tex]\bar x = \frac{91}{10}[/tex]

[tex]\bar x = 9.1[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{\frac{1}{n}\sum (x - \bar x)^2}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{1}{10}*[(9 - 9.1)^2+.................+(10- 9.1)^2]}[/tex]

[tex]\sigma = \sqrt{\frac{1}{10}*6.9}[/tex]

[tex]\sigma = \sqrt{0.69}[/tex]

[tex]\sigma = 0.831[/tex]

The mode is:

[tex]Mode = 10[/tex]

10 has the highest frequency of 4

Julie has basketball practice every 6 days and track practice every 4 days. In how many days will she have both basketball and track practice

Answers

Answer: 12 days

Step-by-step explanation:

For us to know the number of days whereby Julie will have both basketball and track practice, we've to find the lowest common multiple of both 6 and 4. This will be:

Multiples of 4 = 4, 8, 12, 16, 24.

Multiples of 6 = 6, 12, 18, 24, 30.

The lowest common multiple is 12. Therefore, she'll have basketball and track practice in 12 days

Angles of Triangles Scavenger Hunt Answer Key

Answers

I think every one appreciates it , lol but thank you kiddo

Show all 4 steps of the following:
x - 3/5= 1/6

Answers

Answer: x=23/30

Step-by-step explanation: Hope this help :D

4. Triangle Relationships- Interior and Exterior Angles
Find the measure of angle 1 and angle 2. Be sure to show all work related to each answer.
S
a. m21
42°
1/2
30°
M
b. M22
A

Answers

Answer:

Value of ∠1 = 102°

Value of ∠1 = 72°

Step-by-step explanation:

Given:

∠ S = 42°

∠ A = 30°

Find:

Value of ∠1

Value of ∠2

Computation:

Using angle sum property;

Sum of all interior angle of a triangle = 180°

∠ S + ∠ A + ∠ 1 = 180

42 + 30  + ∠ 1 = 180

72 + ∠ 1 = 180

∠ 1 = 180 - 72

∠ 1 = 102

Value of ∠1 = 102°

∠ 1 and ∠ 2 makes a straight line

So,

∠ 1 + ∠ 2 = 180  

102 + ∠ 2 = 180  

∠ 2 = 180 - 102

∠ 2 = 72

Value of ∠1 = 72°

i need help please
...... no linksssssssssss​

Answers

Answer:

What do you want us to find???

Step-by-step explanation:

Which is a shrink of an exponential growth function?

f(x) = One-third(3)x
f(x) = 3(3)x
f(x) = One-third (one-third) Superscript x
f(x) = 3 (one-third) Superscript x

Answers

Answer:

3 zero

Step-by-step explanation:

Answer:

The correct answer is A

Step-by-step explanation:

Hope This Helps

The population of a city increases by 4.7% per year. If this
year's population is 77,000, what will next year's population
be, to the nearest individual?

Answers

Next year’s population would be 80,619.

What is the radius of a sphere with a volume of 1203 cm', to the nearest tenth of a
centimeter?

Answers

Answer:

The radius of the sphere is of 6.6 centimeters.

Step-by-step explanation:

Volume of an sphere:

The volume of an sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this question:

[tex]V = 1203 \text{cm}^{3}[/tex]

Replacing into the equation, we find the radius, in centimeters. So

[tex]V = \frac{4\pi r^3}{3}[/tex]

[tex]1203 = \frac{4\pi r^3}{3}[/tex]

[tex]r^3 = \frac{1203*3}{4\pi}[/tex]

[tex]r = \sqrt[3]{\frac{1203*3}{4\pi}}[/tex]

[tex]r = 6.6[/tex]

The radius of the sphere is of 6.6 centimeters.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
The histogram shows the number of people in different age groups who visited Rays coffee shop on a Tuesday morning.
Number of Customers in Different Age Groups
36
30
Number of Customers
24
18
12
6
0-
15-18
27-30
19-22 23-26
Age in Years
48
30
6
60
the maximum customer age recorded in
the histogram

Answers

Answer:

The maximum customer age recorded in the hisorograhm would be 30

The differiance of 27-30 and 19-22 would be 6

The total number of cutomers would be 60

The total number of people under 23 is 42

Answer:

the number of customers less than 23 years old recorded in the histogram: 42

the difference of the number of

customers in the age groups 27–30 and

19–22 recorded in the histogram: 6

the maximum customer age recorded in

the histogram: 30

the total number of customers recorded in

the histogram: 60

Step-by-step explanation:

Write the equation of a linear function that has a slope of ‒3 and a y-intercept of ‒2.

Answers

Answer:

y=-3x-2

Step-by-step explanation:

can someone help me on this

Answers

Answer:

[tex] \frac{3}{4} = \frac{9}{12} [/tex]

[tex] \frac{1}{3} = \frac{2}{6} [/tex]

[tex] \frac{2}{4} = \frac{4}{8} [/tex]

Step-by-step explanation:

To generate equivalent fractions, you can either multiply the numerator and denominator by the same number or divide the numerator and denominator by a number provided the numerator and denominator remains whole number.

Let's solve the given problem:

Problem 1:

[tex] \frac{3}{4} = \frac{x}{12} [/tex]

To find the numerator that will make the fractions equivalent, the numerator would be multiplied by the same number that was used to multiply the denominator of the first fraction (4), from which the denominator of the second fraction (12) was gotten.

Here, the denominator of the first fraction, 4, was multiplied by 3 to get the denominator of the second fraction = 12.

Therefore, the numerator of the second fraction would be gotten by multiplying the numerator of the first fraction, 3 by 3 = 9.

Thus:

[tex] \frac{3}{4} = \frac{3*3}{4*3} [/tex]

[tex] \frac{3}{4} = \frac{9}{12} [/tex]

Both fractions are now equivalent because they now have the same value. 3÷4 will give you the same value as 9÷12.

Problem 2:

[tex] \frac{1}{3} = \frac{2}{x} [/tex]

The numerator, 1, was multiplied by 2 to get 2.

Therefore:

[tex] \frac{1}{3} = \frac{1*2}{3*2} [/tex]

[tex] \frac{1}{3} = \frac{2}{6} [/tex]

Problem 3:

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

We can either divide the denominator and numerator by the same number which should remain a whole number, or multiply the denominator and numerator by the same number.

Let's multiply by 2 to get am equivalent fraction.

[tex] \frac{2}{4} = \frac{2*2}{4*2} [/tex]

[tex] \frac{2}{4} = \frac{4}{8} [/tex]

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