1) Eight times the difference between a number and seven, is the same as when five times
the number is increased by four. Find the number.

Answers

Answer 1

Tip: Go step-by-step

Let the number = x

Eight times the difference between a number and seven.. = 8(x-7)

is the same as... =

the number increased by 4.. x+4

8(x-7)=x+4

Distribute

8x-56=x+4

Subtract x from both sides

7x-56=4

Add 56 to both sides

7x=60

x=60/7


Related Questions

Water expands when it freezes. Ice is less dense than water so it floats.If the increase in volume is 4% what volume of water will make an iceberg of 12 700000 m^3?​

Answers

Answer:

Volume of water would be 12,200,000 m^3

Step-by-step explanation:

hope that helps :D

Given matrices A and B shown below, find (−3)A+(−5)B.

Answers

Answer:

i don't understand this

Step-by-step explanation:

I don't understand this at all I have no been getting this in school

Heyyyyyyyy help meeeeeee fix

Answers

Answer:

A) Volume of prism: 4 * 8 * 9 = 288 cubic units

B) Area of shaded base: 4 * 8 = 32 squared units

   Volume of prism: 32 * 9 = 288 cubic units

Step-by-step explanation:

The volume of a prism can be calculated by multiplying its length, width, and height. The length of the prism is 8, the width is 4, and the height is 9. Thus, we get 8*4*9 = 288 cubic units. (cubic units because we are dealing with volume)

The area of the shaded base can be found by multiplying its length by its width. The length is 8 and the width is 4. Thus, 4*8 = 32 squared units (squared because we are dealing with area)

The volume of the prism using the area of the shaded base can be calculated by multiplying the area of the shaded base by the height, this is because the area of the shaded base is already the length * width and thus we only need to multiply by the height which is 9. Therefore we get 32 (area of shaded region) * 9 (height) = 288 cubic units.

x(x+6)=-8 quadratic equation

Answers

Answer:

x=-2 or x=-6

Step-by-step explanation:

x^2+6x+8=0

(x+2) (x+6)=0

x=-2 or x=-6

All of the following are equivalent except:
4%
04
1/25

Answers

4 is not equivalent to 4% or 1/25

Un comerciante de ganado compro cierto número de novillos, todos al mismo precio, por un total de 1 440 000 colones. De estos, vendió 20 a 22000 colones cada uno. Si desea obtener una ganancia de 200 000 colones debe vender cada uno de los restantes novillos en 2000 más que el precio en que los compro. ¿Cuántos novillos compro y cuanto le costó cada uno?

Answers

Queremos encontrar y resolver un sistema de ecuaciones para encontrar el número de novillos comprados y el valor de cada uno.

Encontramos que las soluciones son:

Precio = 12,820.5 colones.Número = 112

La información que tenemos es:

El comerciante compro un dado número de novillos, digamos N.

El precio total fue de 1,440,000 colones.

Entonces si el precio de cada novillo es P, tenemos que:

N*P = 1,440,000

Sabemos que vendio 20 a 22,000 colones cada uno, es decir, obtuvo:

20*22,000 colones = 440,000 colones.

Es decir, de momento se tiene una perdida de:

1,440,000 - 440,000 = 1,000,000 colones.

Sí quiere obtener una ganancia de 200,000 colones, debe vender los (N - 20) novillos restantes a 2,000 colones más que P.

De esto planteamos la ecuación:

(N - 20)*(P + 2,000)= 1,000,000 colones + 200,000 colones = 1,200,000 colones.

Entonces tenemos el sistema de ecuaciones:

N*P = 1,440,000

(N - 20)*(P + 2,000) = 1,200,000

Para resolver esto comenzamos por aislar una de las variables en la primera ecuación, aislaremos N

N = (1,440,000)/P

Ahora reemplazamos esto en la otra ecuación:

(N - 20)*(P + 2,000) = 1,200,000

( (1,440,000)/P - 20)*(P + 2,000) = 1,200,000

Ahora debemos resolver esto para P.

1,440,000 - 20*P - 20*2,000 + 2,000*(1,440,000)/P = 1,200,000

- 20*P + 2,000*(1,440,000)/P = -180,000

Multiplicando ambos lados por P, obtenemos:

-20*P^2 + 2,880,000,000 = -180,000*P

Reescribimos esto como una ecuación cuadratica:

-20*P^2 +   2,880,000,000 + 180,000*P = 0

Y podemos resolver esto usando la formula de Bhaskara.

[tex]P = \frac{-180,000 \pm \sqrt{(180,000)^2 - 4*(-20)*(2,880,000,000)} }{2*-20} \\\\P = \frac{-180,000 \pm 512,640.22471 }{-40}[/tex]

Solo nos interesa la solución positiva, que es:

[tex]P = = \frac{-180,000 - 512,640.22471 }{-40} = 12,820.5[/tex]

Es decir, cada novillo le costó 12,820.5 colones.

y sabemos que:

N = 1,440,000/P = 1,440,000/12,820.5 = 112.3

Redondeamos al proximo numero entero, que es 112, donde ese 0.3 debe venir de algun error de redondeo (o más probablemente a un problema mal planteado).

Sí quieres aprender más puedes leer:

https://brainly.com/question/20868687

Jonathan made $546 last
month selling newspapers.
This month he made $874.
He then got an extra $200
because he sold the most
papers. How much money
did he make in all?

Answers

Answer:

1620

Step-by-step explanation:

Answer:

$1620

Step-by-step explanation:

Earning in last month: $546

Earning in this month: $874

Extra earning: $200

Total earning = 546 + 874 + 200 = 1620

how to convert 111101 from base 2 to base 10​

Answers

Answer:

61

Step-by-step explanation:

So basically you separate the numbers like 1 1 1 1 0 1, and time 2 while having the number of numbers as the exponent decreasing. Like this, 1x2^5+1x2^4+1x2^3+1x2^2+0x2^1+1x2^0. Then figure it out and it would be 32+16+8+4+0+1=61. If don't understand, look at the picture below

103.468 round this to the nearest liter

Answers

Answer:

103

Step-by-step explanation:

So the .4 in the tenths place is less than 5 it is rounded down/stays the same so its 103

Hope this helps!!

Have a nice day! :D

Sorry I ain’t know why it look like that buh can someone help asap

Answers

Answer:

[tex]for \: \: dmain \: of \: {f}^{ - } \: \: is \: equal \: f \: range \\ y = \sqrt{x } - 5 \\y \: range \: is \: y \geqslant - 5\\ y + 5 = \sqrt{x} \\ x = {(y + 5)}^{2} \\ {f}^{ - 1} = {(x + 5)}^{2} \\ \\ dmain \: of \: \: {f}^{ - 1} \: x \geqslant - 5[/tex]

Please help me fast thank you for your help I’ll give 50 points

Answers

Answer:

C

Step-by-step explanation:

Answer:

It's option 3

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

x = 6.4

Step-by-step explanation:

Step 1: Divide both sides by 4.

[tex]\frac{4x}{4}=\frac{25.6}{4}[/tex] [tex]x = 6.4[/tex]

Step 2: Check if solution is correct.

[tex]4(6.4)=25.6[/tex] [tex]25.6=25.6[/tex]

Therefore, x = 6.4.

Answer:

4x = 25.6

4x = 256 / 10

x = 256 / (10×4)

x = 64 / 10 (256 ÷ 4 = 64)

x = 6.4

so, answer is 6.4 .

Step-by-step explanation:

brainliest plz

HELP!!!!! Someone answer ASAP PLEASE!!!!

Answers

Answer:

thay are independent

Step-by-step explanation:

I only know that they are independent but Don't really know how to explain and do step by step.

Answer:

a, =to 13 and B, is to 45 and C,13 D, 14 of tells

What is the median of this data set 15, 33,51,51,75

Answers

The median would be 51

Answer:

51

Step-by-step explanation:

1. The median of a data set is the middle number within the data points.

2. As you can see, when you cross out each number from left to right then left to right again, you end up with 51 standing by itself. Therefore, the median is 51.

The angles of a triangle are A, B and C.
Angle A is three times as big as angle B.
Angle B is half the size of angle C.
What is the size of angle A?

Answers

Answer:

∠A = 90°

Step-by-step explanation:

∠A = 3∠B

∠B = 1/2 × (∠C), this can also be written as ∠C = 2∠B

∠A + ∠B + ∠C = 180, because there are 180° inside a triangle

Write angle A, B and C in terms of angle B:

3 ∠B + ∠B + 2 ∠B = 180

Simplify:

6 ∠B = 180

∠B = 180 ÷ 6 = 30°

Work out angle A:

∠A = 3∠B = 3 × 30°

∠A = 90°

a) The simplest form of 20
100
is _____________.

b) The mixed fraction of 80
9
is _____________.

c) When we convert 13 5
7
to an improper fraction, we get __________.

d) In a basket of 27 mangoes, 6 are rotten. This statement can be written as a fraction
as (give the answer in the simplest form) ___________.

Answers

[tex]a) \: \: \frac{20}{100} \\ = \frac{1}{5} \\ b) \: \: \frac{80}{9} \\ = 8 \frac{8}{9} \\ c)13 \frac{5}{7} \\ = \frac{96}{7} \\ d) \frac{6}{27} \\ = \frac{2}{9} [/tex]

what equation is perpendicular to the equation 4y=x-36

Answers

Answer:

y=6 and x=9

Step-by-step explanation:

Ur dad left you IMAO go look for your dad

PLEASE HELP ME
The unit claims that you can increase the challenge of your workouts by using Newton’s first law of motion. We are given the example of running on sand or biking on gravel. What are some other ways that you can use Newton’s first law to create a more challenging workout? When you change the terrain, what is that force called?

Answers

Answer: Use Newton's first rule of motion to make your workout more difficult.

This rule says that until acted upon by an external force, a body continues in motion.

By altering the ground on which you exercise, you may reduce the influence of inertia on your exercises, as inertia maintains you going forward.

Workout on materials that slow it down your upward motion, requiring you to expend more energy to keep going ahead.

Run on sand rather than tarmac, or do aerobic exercises on rubber mats rather than wood flooring.

Happy To Help ;)

Step-by-step explanation:

solve pls brainliest

Answers

Answer: A= 304 feet B=1460

Step-by-step explanation:

what is the slope of a line parallel to the line on the graph?

Answers

Answer:

3/4

Step-by-step explanation:

To find the slope of a line parallel to this line, we first need to find the slope of this line. Using rise/run, you get that the slope is 6/8 which simplifies to 3/4.

The slope of any two parallel lines always is the same so the slope of a line parallel to the one given would be 3/4.

Usian bolt can run 100meters in 9.58 seconds . my car can drive 100kilometers an hour. which is faster, is it faster to travel 100meters in 9.58 seconds or 100 kilometers an hour

Answers

Answer:

Your car is faster of course

Step-by-step explanation:

100 km would be 100000 meters. Then you would need to know that if Usain bolt ran 100 meters every 9.54 sec then in 100000 meters he would have ran 9540 seconds which is also known has 159 minutes, which is more than 1 hour so your car is faster.

I'm not sure how I can find my answer, any help?

Answers

Answer:

The next number would be 3

Step-by-step explanation:

As you can see its a repeating pattern of "1739"

Answer:

3

Step-by-step explanation:

1 7 3 9 1 7 3 9 1 7 3 9 1 7 3 9 ...

Box method sixty three
times thirty nine

Answers

Answer:

6237

Step-by step explanation

60 x 30 = 1800

30x3=90

9x60=540

9x3=27

1800+90+540+27=6237

An engine runs for 5.8 hours. How many seconds did it run?

Answers

Answer: 20880 seconds.

Step-by-step explanation:

Solve the equation for X x - 5 = 12​

Answers

Answer:

X= 17

Step-by-step explanation:17-5 = 12 (Just add 12 and 5 for answer)

Answer: x=17

Add 5 on both sides

x-5+5=12+5

x=17

Step-by-step explanation: Hope this helps!

If you are having a tough time with math you can use:

khanacademy,

mathnation,

and many other free sources

A farmer has 1804 feet of fencing available to enclose a rectangular area bordering a river. If no fencing is required along the river, find the dimensions of the fenced
area that will maximize the area. What is the maximum area?
What is the length of the fenced area?

Answers

Answer:

length: 601 1/3 area: 361601 7/9

Step-by-step explanation:

the maximum area would be a square, and we only need 3 sides, so we can divide the amount of fencing by 3

1804/3=601 1/3

the length is 601.(3)

square to find the area

(1804/3)^2

361601 7/9

area is 361601 7/9

thanks for the answer

Answers

Answer:

there's no questions haha, ty sa points

Answer:can you plz give us the question

Step-by-step explanation:

plz mark brainliest i need 5 of them

What is the smallest number that rounds to 45 000 when round off to the nearest thousand​

Answers

The least number which can be rounded off to 45,000 is 44,500. While the largest is 45,499.

- BRAINLIEST answerer

Answer:

44 500

Step-by-step explanation:

When 44 499 is round off to nearest 1000,answer is 44 000.Therefore this is the smallest no. the rounds to 45 000

A record-store owner assesses customers entering the
store as high school age, college age, or older, and
finds that of all customers 30%, 50%, and 20%, respectively, fall into these categories. The owner also found
that purchases were made by 20% of high school age
customers, by 60% of college age customers, and by
80% of older customers.
a. What is the probability that a randomly
chosen customer entering the store will make a
purchase?

Answers

Answer:

ongjdgffchcfgrsfedfcnfdrdghcmgh drdjcgfdrrjfvghjfdrejkgjbvdurfvgjkgb hj

jni'ipjh

Step-by-step explanation:

I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!

Answers

Answer:

The first choice

Step-by-step explanation:

h=-3

hope it helps

Solution:

[tex]5h - 2 = 3h + 4 \\ = > 5h - 3h = 4 + 2 \\ = > 2h = 6 \\ = > h = \frac{6}{2} \\ = > h = 3[/tex]

Answer:

Option d. 3

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