The sum of two numbers is 70. One number is ten more than twice the other number. Find the numbers.​

Answers

Answer 1

9514 1404 393

Answer:

  20, 50

Step-by-step explanation:

Let x and y represent the two numbers.

  x + y = 70 . . . . . . their sum is 70

  2x +10 = y . . . . . . one is 10 more than twice the other

Using the second equation to substitute for y in the first equation, we have ...

  x + (2x +10) = 70

  3x = 60 . . . . . . . . . subtract 10

  x = 20 . . . . . . . . . divide by 3

  y = 70 -20 = 50 . . . find the other number

The two numbers are 20 and 50.


Related Questions

HELP find the area of the triangle I’ll mark brainest

Answers

Answer:

31.5 units.

Step-by-step explanation:

Area = BC * distance from BC extended to A/2

A to BC extended and the line is vertical from A to BC extended = 7+2 units

A to BC extended and the line is vertical from A to BC extended = 9 units This becomes the height

h = 9 units

BC = 7 units

Area  = 1/2 * h * BC

Area = 1/2 * 9 * 7

Area = 1/2 * 63

Area = 31.5

What is the C term in this problem: x^2+3x+2

Answers

Answer:

2

Step-by-step explanation:

Cuz the form is Ax^2 + bx + c

A = 1 (imaginary)

B = 3

C = 2 (same as y-intercept)

Need help ASAP!!!
Solve for the missing angle.

Answers

Answer:

D 56

Step-by-step explanation:

cos x = 5/9

x = 56°

have a great day

If You write all numbers from 30 to 65 including 30 and 65 how many times would you write the digit 4?

Answers

Answer:

We write 4 times 4 because it includes 34,44,54,64in the data.

You would write 6 times the digit 4.

What are integers?

Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."

Given:

You write all numbers from 30 to 65 including 30 and 65.

And in between there are following numbers that have digit 4:

34, 40, 44, 54 and 64.

That means, we wrote 6 times digit 4.

Therefore, digit 4 would be written 6 times.

To learn more about the integers;

brainly.com/question/1768254

#SPJ2

Please help I'll give brainliest ​

Answers

This should be 33. Height multiplied by base. 11x6=66 then over 2. 66/2 = 33

Hope it helps you

Have a good day

In the finger above what is m

Answers

Answer:

ABE is 180-64.5= 115.5

EBE is 90-64.5= 25.5

Please help me out with this!

Answers

Answer:

X=9.8

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin33=x/18

X=18sin33=9.8

Complete the input-output table for log4X. How would I solve this?

Answers

Answer:

[tex]x \to f(x)[/tex]

[tex]0.25 \to -1[/tex]

[tex]0.5 \to -0.5[/tex]

[tex]1 \to 0[/tex]

[tex]2 \to 0.5[/tex]

[tex]4 \to 1[/tex]

[tex]8 \to 1.5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = log_4(x)[/tex]

[tex]x = 0.5[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(0.5) = log_4(0.5)[/tex]

Apply law of logarithm

[tex]f(0.5) = \frac{log(0.5)}{log(4)}[/tex]

Using a calculator, we have:

[tex]f(0.5) = -0.5[/tex]

[tex]x = 1[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(1) = log_4(1)[/tex]

Express 1 as 4^0

[tex]f(1) = log_4(4^0)[/tex]

Apply law of logarithm

[tex]f(1) = 0*log_4(4)[/tex]

[tex]f(1) = 0[/tex]

[tex]x = 2[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(2) = log_4(2)[/tex]

Apply law of logarithm

[tex]f(2) = \frac{log(2)}{log(4)}[/tex]

Using a calculator, we have:

[tex]f(2) = 0.5[/tex]

[tex]x = 4[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(4) = log_4(4)[/tex]

[tex]log_a(a) = 1[/tex]

So:

[tex]f(4) = 1[/tex]

[tex]x = 8[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(8) = log_4(8)[/tex]

Apply law of logarithm

[tex]f(8) = \frac{log(8)}{log(4)}[/tex]

Using a calculator, we have:

[tex]f(8) = 1.5[/tex]

So, the complete table is:

[tex]x \to f(x)[/tex]

[tex]0.25 \to -1[/tex]

[tex]0.5 \to -0.5[/tex]

[tex]1 \to 0[/tex]

[tex]2 \to 0.5[/tex]

[tex]4 \to 1[/tex]

[tex]8 \to 1.5[/tex]

A watt is a unit of power, which measures energy used per unit time. A kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr. The electric utility company in Laura's town charges $0.06001 for each
kilowatt hour used. Laura heats her house with three electric heaters that each use 1200 watts. How much does it cost to heat a house in one day? How many hours what a 75 watt lightbulb have to stay on to result in one dollar for electricity charges?

Answers

Answer:

It costs Laura $ 5,184.86 to heat her house one day.

A 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.

Step-by-step explanation:

Given that a kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr, and the electric utility company in Laura's town charges $ 0.06001 for each kilowatt hour used, and Laura heats her house with three electric heaters that each use 1200 watts, to determine how much does it cost to heat a house in one day and how many hours would a 75 watt lightbulb have to stay on to result in one dollar for electricity charges the following calculations must be performed:

(3 x 1200 x 24) x 0.06001 = X

(3600 x 24) x 0.06001 = X

86400 x 0.06001 = X

5,184.86 = X

Therefore, it costs Laura $ 5,184.86 to heat her house one day.

1 watt = 0.001 kilowatt

75 watt = 0.075 kilowatt

1 / 0.075 = 13.333

1 / 0.06001 = 16,663

13,333 x 16,663 = 222.18

Therefore, a 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.

What is the sum?
3
4
3x+4
****
О.
3x+4
o
7
xxx



HELP please 52 minutes left !!!!!!

Answers

Answer:

c. [tex] \frac{3x + 4}{x^2} [/tex]

Step-by-step explanation:

Given:

[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]

Required:

The sum

Solution:

[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]

Common denominator is x².

Therefore, divide x² by the denominator of each fraction and multiply by each of its denominator.

Thus, we would have:

[tex] \frac{3x + 4}{x^2} [/tex]

A school sold tickets to a musical. The school received $6.50 per ticket sold.
Select the ordered pairs that represent possible combinations of the number of tickets sold and the corresponding total amount of money the school would have received from selling the tickets, if this relatioship was graphed on a Coordinate Plane.

Select all that apply.
A.) 0, 0.00
B.) 2, 13.00
C.) 4, 24.00
D.) 10, 65.00
E.) 12, 68.00

No links plz

Answers

Answer:

A B D

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

hope this helps :))))

solve the inequality y + 7/10 < 2

Answers

Answer:

y<13/10

Step-by-step explanation:

> Less
All changes saved
12. A brand-new music service is offering specials on individual song downloads. The cost is $0.74 for each
song up to 20 songs per month, and the cost doubles to $1.48 per download for any number of downloads
over 20. How much would it cost to download 28 songs?
> Less
> Less

Answers

Answer:

Downloading 28 songs will cost $26.64.

Step-by-step explanation:

Given that a brand-new music service is offering specials on individual song downloads, and the cost is $ 0.74 for each song up to 20 songs per month, and the cost doubles to $ 1.48 per download for any number of downloads over 20, to determine how much would it cost to download 28 songs the following calculation should be performed:

(20 x 0.74) + (8 x 1.48) = X

14.8 + 11.84 = X

26.64 = X

Therefore, downloading 28 songs will cost $ 26.64.

The graph shows the amount of money that Janice saves each week from her summer job. which equation best represents the graph

Answers

Answer:

y = 100x + 200

Step-by-step explanation:

Really stumped on these 2 problems anybody know anything? "Find the circumference of each circle. Round to the nearest tenth. Use 3.14 or 22/7 for π"

Answers

Answer:

1. 15.7 in

2. 153.9 cm

Step-by-step explanation:

The circumference of a circle is found by the formula:

C = 2 * pi * r, where r represents the radius.

For the first circle, we substitute in 3.14 for pi and the given radius:

C = 2 * 3.14 * 2.5

C = 15.7 in

However, for the second circle, the diameter is given instead of the radius.

As the radius is just half of the diameter, we can find that it is 24.5 cm.

Substituting the values in, we get:

C = 2 * 3.14 * 24.5

C = 153.86 cm

Rounding to the nearest tenth gives us:

153.9 cm

Make sure to use the correct units for each question.

You toss a coin 15 times. P( heads) 2/5=

Answers

The answer is

2/5 = 0.4

Because

2/5 2 divide 5 = 0.4

Please help me with this real quick

Answers

Answer: 7.5 miles

Step-by-step explanation:

think of it as a triangle; the bold line is the hypotenuse, or x.

 8   |\   x

      |_\              it's not a good triangle but you get the point

       6

and then get out pythagorean theorem: a^2+b^2=c^2

put the numbers in: 8^2 + 6^2 = x^2

do some math:

64+36=x^2

100=x^2 (and then find square root)

10=x

BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5

How can you Divide the number 30 into 4 equal parts? Or can you?

Answers

Answer:

7.5

Step-by-step explanation:

thirty divided by 4 is 7.5 or 7 1/2

Answer:

That might be possible though.

Step-by-step explanation:

If you divide 30 by 7.5, you'll get 4. With any other number, you'll get 3,10,6,5,1, and 30. If you use a decimal, it might be possible it'll give you the answer you wanted.

Question 4 of 10
When the input is x = 3 for the parent function f(x) = x, what is the output?
O A. f(x) = 3
O B. f(x) = -3
O C. f(x) = 0
O D. f(x) = 1

Answers

Answer:

A

Step-by-step explanation:

f(x) = x

x = 3

->

f(3) = 3

A

A. f(x) =3 the first one

Review the graph of function g(x).

On a coordinate plane, a graph repeats multiple time with a maximum of (0, negative 2) and minimum of (0, negative 8) near the y-axis. It curves up to (0.5, negative 2) and then curves down through (3, negative 4). It curves down to (negative 0.5, negative 8) and curves up through (negative 3, negative 8).

Esai claims that Limit of g (x) as x approaches 0 is both –2 and –8 because the graph oscillates between these two values.
Kadence claims that Limit of g (x) as x approaches 0 is the average of –2 and –8, which is –5.
Who is correct?

Esai only
Kadence only
both Esai and Kadence
neither Esai nor Kadence

Answers

Answer:

Kadence Only

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

John is 3 years older than Susan and khalid is 5 years younger than her . The sum of their ages is 40 .
Find their ages.

Answers

Answer:

John is 17,

Susan is 14,

and Khalid is 9.

Step-by-step explanation:

a = John's age

b = Susan's age

c = Khalid's age

Let's set our rules from the given information.

a = b + 3

c = b - 5

a + b + c = 40

Now, we can solve for b through substitution.

(b + 3) + b + (b - 5) = 40

3b - 2 = 40

3b = 42

b = 14

So, now that we have Susan's age, we can follow the rules and see if it holds.

17 + 14 + 9 = 40 Viola!

A cube with sides that are 2 cm has a mass of 48 g and its density would be
___________ g/cm3.

Answers

Answer:

6g/cm^3

Step-by-step explanation:

The density of the cube would be 6 grams/cm^3. I got this answer by first finding the volume of the cube, 2^3 which gives me 8 cm as the initial volume of the cube. Then, the 48 grams of mass the cube has allows me to divide 48 / 8 which gave me 6. And 6 would be the density of the cube in grams.

Answer: 6g/cm^3

Hope this helps!

Answer:

p = 6 g/cm³

Step-by-step explanation:

Given: cube sides= 2 cm and 48 g

To find: The cube's density

Formula: [tex]{p} \frac{m}{V}[/tex]

Solution: Measure the height, width, and depth of the shipment in inches.

Multiply the three measurements (height x width x depth).

Divide the total cubic inches by 1,728 (the number of cubic inches in a cubic foot).

Divide the weight (in pounds) of the shipment by the total cubic feet.

p = density

m = mass

V = volume

PLEASE HELP!! 100 POINTS Will mark brainliest.

Answers

Answer:

m∠1 = mCD = 40°m∠2 = 1/2(mAB) = 1/2*30° = 15°m∠3 = 1/2(mED) = 1/2*50° = 25°m∠4 = 1/2(mAB + mDE) = 1/2(30°+50°) = 40°m∠6 = m∠OEG - m∠DEG = 90° - 1/2(mDE) = 90° - 25° = 65°m∠7 = 1/2(mCD + mDE) = 1/2(40°+50°) = 45°m∠8 = 1/2(mCD + mDE - mAB) = 1/2(40° + 50° - 30°) = 30°m∠10 = 1/2mAE = 1/2(180° - mDE) = 1/2(180° - 50°) = 65°

Answer:

hope this help you. look it once.

The bar graph shows a company’s income and expenses over the last 5 years. Which statement is supported by the information in the graph?

A) The income in Year 5 was twice the income in Year 1
B) The combined expenses in Years 3 and 4 were more than the combined income in Years 3 and 4
C) Expenses have increased each year over the last 5 years
D) The combined income in Years 1, 2, and 3 was equal to the combined expenses in Years 1, 2, and 3

Answers

Answer:

B

Step-by-step explanation:

Kinda hard to explain but I'm pretty sure it's B

Write and solve an equation to determine the value of x.

Answers

Answer:

x = 12

Step-by-step explanation:

<CED = 180 - (9x-8)

= 180 - 9x +8

= 188 - 9x

Angle sum of triangle is 180

.'. (5x-10) + (50) + (180 - 9x +8) = 180

5x -10 + 50 + 188 -9x = 180

-4x = 180 + 10 - 50 - 188

-4x = -48

4x = 48

x = 12

What is the decay factor in the exponential decay function y=a(1−r)^t

Answers

Answer:

(1 - r)

Step-by-step explanation:

Given function:

y = a (1−r)^t

Here we have:

y - future value, a- present value, (1 - r) - decay factor, t- number of decay periods

Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes. Which ratio of cups of sugar to cupcakes is equivalent to Mariana's recipe?

Answers

Answer:

2:12

Step-by-step explanation:

The ratio of cups of sugar to cupcakes is equivalent to 1:6.

Given that Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes.

What is the ratio?

The ratio is the comparison of two quantities. It is generally represented by a fraction.

2 cups of sugar: 12 cupcakes = 2:12

2:12 = 2/12 =1/6 =1:6

So, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

Therefore, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

To get more about ratios visit:

https://brainly.com/question/2328454

Help! Note: Figure is not drawn to scale.

If m1 = 35° and m2 = 20°, what is m3?
A.
110°
B.
160°
C.
145°
D.
125°

Answers

Answer:

Step-by-step explanation:

Do you not know that a triangle has 180 degrees in total. Pay attention in class geez.

please help me! yah thats all i just need help

Answers

Answer:

WT=63

Step-by-step explanation:

[tex] \frac{56}{5 \times x + 3} = \frac{40}{4 \times x - 3} \\ x = 12[/tex]

So

[tex]5 \times x + 3 = 5 \times 12 + 3 = 63[/tex]

Question 10 of 10
Which is not a characteristic of an exponential parent function?
A. It passes through (0,1).
B. It goes through the origin.
C. The domain is all real numbers.
D. The range is positive real numbers (y > 0).
SUBMIT

Answers

B) False
It does not pass through origin.
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