Solve for x and y
6(ax + by) = 3a + 2b ; 6(bx-ay) = 3b - 2a

Answer:

Solution given:

[tex] {x}^{2} - 13x + 12 = 0[/tex]

doing middle term factorization

x²-12x-x+12=

x(x-12)-1(x-12)=0

(x-12)(x-1)=0

either

x=12

or

x=1

value of x is 1 or 12.

Answer:

x = 4.

Step-by-step explanation:

4 - 5x = 12 - 7x

4 - 5x + 7x = 12 - 7x + 7x

4 + 2x = 12

4 - 4 + 2x = 12 - 4

2x = 8

x = 8/2 = 4.

Answer:

4-5x=12-7x

-5x+7x=12-4

2x=8

x=8/2

x=4

Step-by-step explanation:

Hi there!

[tex]\large\boxed{33 \text{ feet}}[/tex]

We can find the distance with this expression:

Height(top deck) - Height(bottom) = distance

The top deck has a height of positive 9 feet, while the bottom of the boat has a height of -24 feet since it is BELOW the surface of the lake.

Thus:

9 - (-24) =

Subtracting a negative becomes a plus, so:

9 + 24 = 33 feet.

Answer:hi

Step-by-step explanation:

hi

Answer:

1200

Step-by-step explanation:

Step 1 convert pounds to ounces

1 pound = 16 ounces

So to convert pounds to ounces we multiply by 16

1500 * 16 = 24000

So there are 24000 ounces in 1500 pounds

Step 2 Find how many 20 ounce containers he can fill.

To find out how many 20 ounce containers he can fill we divide the total amount of ounces of butter that he has by 20

So answer = 24000/20

24000 / 20 = 1200

Therefore he can fill 1200 20 - ounce containers

Answer:

881

Step-by-step explanation:

The pattern is add 9. We can see that 3 numbers of the 97 are given. Which means there are 94 unknown numbers. 94 times 9=846. 35 is the last number given. add 846 to 35 and you get 881. therefore, your answer is 881.

Answer:

-6/4

Step-by-step explanation:

Answer: [tex]200\ cm^3[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular prism is

[tex]l=5\ cm\\w=10\ cm\\h=4\ cm[/tex]

The volume of the prism is given by [tex]V=l\times w\times h[/tex]

[tex]\Rightarrow V=5\times 10\times 4\\\Rightarrow V=200\ cm^3[/tex]

Therefore, the volume of the prism is [tex]200\ cm^3[/tex].

Answer:

12

Step-by-step explanation:

Answer:

48in^2

Step-by-step explanation:

8/2=4

3 x 4 x 4= 48

Answer:61

Step-by-step explanation:

As per the dimensions shown to store garden tools, the volume of Ray's toolbox is 7200 cubic units.

In order to determine the volume of Ray's toolbox, we need to use the formula for calculating the volume of a rectangular prism, which is

V = length × width × height.

Given the dimensions provided, the height of the toolbox is 12 units, the width is also 12 units, and the length is 50 units.

Now, let's substitute these values into the formula:

V = 12 units (height) × 12 units (width) × 50 units (length)

V = 12 × 12 × 50

V = 7200 cubic units

To know more about volume here

https://brainly.com/question/11168779

#SPJ2

Answer:

First, convert R as a percent to r as a decimal

r = R/100

r = 4.7/100

r = 0.047 rate per year,

Then solve for A,

              [tex]A = P\cdot e^{rt}\\\\A= 1800 \cdot (2.71828)^{(.047)(15)}, \ where \ e = 2.71828\\A = 3642.92[/tex]  

The amount he receives after 15years $3,642.92

Answer:

y=90

Step-by-step explanation:

Add both numbers

110 + 70=180

divide by 2

180 ÷ 2 = 90

Answer:

y=90

hope that helps

Answer:

The right triangle altitude theorem or geometric mean theorem is a result in elementary geometry that describes a relation between the lengths of the altitude on the hypotenuse in a right triangle and the two line segments it creates on the hypotenuse.

Step-by-step explanation:

Was definetly not copy and pasted from g.o.o.g.l.e. no siree

Answer:

id say the mean

Step-by-step explanation:

Answer: Mean

Step-by-step explanation: It's the average value.

Answer:

B is your answer for your math problem

Answer:

R= K/2 - 10

Explanation:

30/2 -10 = 15-10 = 5 years old for Reggie,  where Kristen's age = K=30

Answer:

R= K/2 - 10

Explanation:

30/2 - 10 = 15 - 10 = 5 years old for Reggie and Kristen's age = K=30.

Brainlist Pls!

Answer 4:00pm= 15

Step-by-step explanation:

45 plus 15 is 4:00

Answer:

A. 26

Step-by-step explanation:

45/30=39/x

Cross multipy.

1170=45x

Divide by 45.

Answer is 26.

Answer:

x = 70 degrees,  y = 35 degrees.

Step-by-step explanation:

The angle marked  x  is a central angle, so its measure is the same as the measure of the intercepted arc.

The angle marked  y  is an inscribed angle, so its measure is half the measure of the intercepted arc.

Answer:

If when you say last you mean least common denominator it is 10

Step-by-step explanation:

9/10 and 6/10 have the same denominator.

Answer: uh I don’t think so this is what I have

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

Answer:

x = cost of a chair = £22

y = cost of a table = £65

£765

Step-by-step explanation:

Let

x = cost of a chair

y = cost of a table

4x + 2y = 218 (1)

6x + 7y = 587 (2)

Multiply (1) by 6 and (2) by 4

24x + 12y = 1,308 (3)

24x + 28y = 2,348 (4)

Subtract (3) from (4) to eliminate x

28y - 12y = 2,348 - 1,308

16y = 1,040

y = 1,040/16

y = 65

Substitute y = 65 into (1)

4x + 2y = 218 (1)

4x + 2(65) = 218

4x + 130 = 218

4x = 218 - 130

4x = 88

x = 88/4

x = 22

x = cost of a chair = £22

y = cost of a table = £65

Find the total cost of buying twenty chairs and five tables

20x + 5y

Substitute the values of x and y

20x + 5y

= 20(22) + 5(65)

= 440 + 325

= £765

Answer:

1) Figure 4

2) Figure 1

3) Figure 4

Step-by-step explanation:

the closer 'r' is to 1, the more positive the correlation between the two variable

Answer:

C

Step-by-step explanation:

THE THIRD CHOICE

Answer: I would say B is the answer because you should never capitalize those directions