The sum of two numbers is 12. When one number is subtracted from three times the other, the result is 4.
Find the numbers.

1. Subtract 2 from both sides of the equation

4x + 2 = 7x - 13

4x + 2 - 2 = 7x - 13 - 2

2. Simplify

4x + 2 - 2 = 7x - 13 - 2 -----> 4x = 7x - 13 - 2 -----> 4x = 7x - 15

3. Subtract 7x from both sides of the equation

4x = 7x - 15

4x - 7x = 7x - 15 - 7x

4. Simplify

4x - 7x = 7x - 15 - 7x -----> -3x = 7x - 15 - 7x -----> -3x = -15

5. Divide both sides of the equation by the same term

-3x = -15

-3x/-3 = -15/-3

6. Simplify

-3x/-3 = -15/-3

x = -15/-3

x = 5

7. Solution

x = 5

Hope that helps! :D

Answer:

Step-by-step explanation:

15+6=9+x

21=9+x

21-9=x

12=x

Answer:

x = 10

Step-by-step explanation:

Chord Chord Theorem

9x = 90

Answer:

[tex]A=107 square\ unit[/tex]

Step-by-step explanation:

From the question we are told that:

 [tex]\angle MNP= 48m[/tex]

 [tex]\angle MN=16 unit[/tex]

Generally the equation for Area of a sector A is mathematically given by

 [tex]A=\frac{\theta}{360}*\pi*r^2[/tex]

 [tex]A=\frac{48}{360}*3.14*16^2[/tex]

 [tex]A=107.18 square\ unit[/tex]

 [tex]A=107 square\ unit[/tex]

Answer:

10.4

Step-by-step explanation:

Area of sector=central angle/360(area)

=46/360(π5^2)

=10.04

Answer:

13y = 52

Step-by-step explanation:

6x - 6x + 4y + 9y = (46 + 6)

6x - 6x + 4y + 9y = 52

0 + 4y + 9y = 52

0 + 13y = 52

13y = 52

(p.s. y = 4)

I'm pretty sure it's D

Answer:

Slope: -1/3

y intercept: (0, -2)

Answer:

x = 9.85 units

Step-by-step explanation:

sin 38° = x/16

cross-multiply to get:

x = 16·sin 38° which equals 9.85

Answer:

I tried my best below

Step-by-step explanation:

8. 54

9. 2

Answer:

288 square inches

Step-by-step explanation:

since we are not told what to find, we can as well find the volume of the prism

Volume of the prism = BH

B is the base area = 1/2 * 6 * 8

B = 48/2

B = 24 square inches

H is the height of the prism = 12in

Volume of the prism = 24 * 12

Volume of the prism = 288 square inches

[tex]\huge{ \mathfrak{  \underline{ Answer \:  \:  ✓ }}}[/tex]

The Angle formed by an arc on the centre of the circle is double the angle made by the same arc on the circumference of the circle.

So,

[tex] \boxed{ \mathrm{ \angle TDB = \dfrac{1}{2} \angle TPB }}[/tex]

_____________________________

[tex]\mathrm{☠ \: TeeNForeveR \: ☠}[/tex]

Answer:

the answer for this question is 1000times.

Step-by-step explanation:

the value for 9 in 157,900 is nine hundred(900).and the value of 9 in 901,532 is nine hundred thousand(900000).

900×1000= 900,000.

The place value of the number 9 in the first number is 1000 times greater than the second number.

The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.

Each digit has a face value and a place value.

Given, A number 901,532, So the place value of the number 9 is 900000.

And, In the number 157,900, The place value of 9 is 900.

Therefore, The number of times the value of 9 is greater in 901,532 compared to 157,900 is,

= 900000/900.

= 1000 times.

learn more about face value and place value here :

https://brainly.com/question/27734142

#SPJ2

Answer:

[tex]1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},[/tex]

Step-by-step explanation:

[tex]1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}[/tex]

[tex]2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}[/tex]

3. This problem incorporates an exponent property.

Exponent property used: [tex]a^b\cdot a^c=a^{(b+c)}[/tex], yielding an answer of [tex]\boxed{5}[/tex]

[tex]4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}[/tex]

Answer:

1. 6

2. 8/25

3. 5

4. 4/5

Step-by-step explanation:

Answer:

B) 6(3x + 5y)

Step-by-step explanation:

6 times 3 is 18 and 6 times 5 is 30

Answer:

No

Step-by-step explanation:

Answer:

sorry im on a time lapse, so the answer is 2  1/2. hope it helps

Step-by-step explanation:

Answer:

Hi above picture is the solution for your question.

Please mark it the brainliest answer

Answer:

pls give me brainliest

Step-by-step explanation:

Answer:

i.x=1      (x,y)=(1,3)

y=3

ii.x=2      (x,y)=(2,4)

y=4

iii.x=3      (x,y)=(3,5)

y=5

iv.x=4       (x,y)=(4,6)

y=6

v.x=5        (x,y)=(5,7)

y=7

Step-by-step explanation:

Area = ( lengths )^2

676 = ( lengths )^2

lengths = √676

lengths = 26 cm

Answer: (see explanation)

Step-by-step explanation:

terms: 7, 2x, x4

leading coefficient: 7

constant term: 7

I'm sorry I'm unsure how to solve the last question.

Answer:

A. The points are collinear and coplanar

Given:

The inequality is:

[tex]-4x-7y<15[/tex]

To find:

The whether (-6,3) is a solution of given inequality of not.

Solution:

We have,

[tex]-4x-7y<15[/tex]

We need to check the inequality for point (-6,3).

Substitute [tex]x=-6, y=3[/tex] in the given inequality.

[tex]-4(-6)-7(3)<15[/tex]

[tex]24-21<15[/tex]

[tex]3<15[/tex]

This statement is true. It means the point (-6,3) satisfies the given inequality.

Therefore, the correct option is A. Yes, the ordered pair is a solution.

Answer:

$11838.7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + r)^t[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

P = 9500

r = 4.5% = 0.045

t = 5

Step 2: Find A

Answer:

Step-by-step explanation:

let original price of an article be x

marked price(price after discount )=Rs 7500

discount%=25%

discount =discount % of cost price

=25/100*x

=25x/100

=x/4

Mark price=original price-discount amount

Rs 7500=x-x/4

Rs 7500=4*x-x/4

Rs 7500*4=4x-x

Rs 30000=3x

Rs 30000/3=x

Rs10000=x

therefore original price of an article is Rs 10000.

Answer:

the answer to the question is -2

Step-by-step explanation:

a certain number=x

therefore,x+9=5-x

x+x=5-9

2x= -4

you the divide both sides by2 to gain x

Answer:

There are 2 bottle of 1 pint and 1 bottle of 1 cup.

Step-by-step explanation:

Okay, so first let's look at the conversion factors of these units:

   1 quart=2 pints & 1 quart= 4 cups.

Alright well, we already have 1.75 out of 3 quarts of the strawberry puree so all

we need left is 1.25 quarts left. So since 1 pint= .5 quarts and 1 cup=.25 quarts

we need to buy 2 pints and 1 cup to give us our three quarts.

 Hence, there are 2 bottle of 1 pint and 1 bottle of 1 cup.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

840 soles

Step-by-step explanation:

Sea la cantidad de dinero que Mateo tenía al principio = x

Mateo compró un artefacto gastando 3/7 de su dinero, dejándole 360 ​​soles,

Por eso,

3/7 × x = 360 soles

3x / 7 = 360 soles

Multiplicar cruzada

3x = 7 × 360 soles

x = 7 × 360 soles / 3

x = 840 soles

Por tanto, el dinero que tenía Mateo al principio es de 840 soles