Find the value of x and y.

Answer:

8, 9, 10

Step-by-step explanation:

three positive consecutive integers

x, x + 1, x + 2

the product of the smallest and the largest is 26 more than six times the middle integer

x(x + 2) = 6(x + 1) + 26

Expand

x^2 + 2x = 6x + 6 + 26

Combine like terms

x^2 + 2x = 6x + 32

Subtract 6x + 32 from both sides

x^2 - 4x - 32 = 0

Factor

(Alternately use the quadratic formula or complete the sqaure)

(x - 8)(x + 4)

x = {-4, 8}

-4 is extraneous because the integers must be positive

x = 8

x + 1 = 9

x + 2 = 10

8, 9, 10

Answer:

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

Step-by-step explanation:

We can make this an equation and use the variable n to represent our numbers

[tex]n-1(smallest)[/tex]

[tex]n(middle)[/tex]

[tex]n+1(largest)[/tex]

[tex](n-1)\cdot (n+1)=6n+26[/tex]

[tex]n^2-1 = 6n+26[/tex]

[tex]n^2 - 6n - 27 = 0[/tex]

After we factorize we get

[tex]n=9[/tex]

since our smallest is [tex]n-1[/tex] so our smallest number is [tex]8[/tex] and largest is [tex]10[/tex]

brainliest please :)

Answer:

6

Step-by-step explanation:

24/6=4

6x4=24

6+6=12

6+6=12      12+12=24

Solution:

Given,

No. of marbles =24

No. of marbles each child received=4

No. of children in the group=?

Here,

No. of children in the group = No. of marbles/

No. of marbles

each child received

=24/4

=6

Hence, There were 6 children in the group.

Answer:

8 + z = 13.

Step-by-step explanation:

8 + z = ?

z = 5

8 + 5 = ?

8 + 5 = 13.

Answer:

13

Reasoning

[tex]8+z=?[/tex] when z=5

[tex]8+5=13[/tex]

Answer:

Im pretty sure it's $39

Step-by-step explanation:

if x=0 it cancels out leaving y=39

Answer:

true

Step-by-step explanation:

Answer: 10 - 6x

2 x 5 = 10

2 x 3 = 6

therefore: 10 - 6x

I hope this helps!

Answer:

the answer is 10-6x

Step-by-step explanation:

by multiplying 2 by 5 and -3x

u will get ur 10-6x

No he did not factor correctly. He needed to factor completely which would get 12(2a+3c)

Answer:

#carryonlearning

Step-by-step explanation:

#carryonlearning

Answer:

OP question dude..

Step-by-step explanation:

Over Powered

Answer:

-6x+10

Step-by-step explanation:

-2(x + 1) - 4(x - 3)

Distribute

-2x-2 -4x+12

Combine like terms

-6x+10

Answer:

-6x +10

Step-by-step explanation:

First, open the parenthesis by multiplying the number outside to the terms inside:

-2(x+1) = -2x - 2

-4(x-3) = -4x + 12

then combine the like terms:

-2x - 4x + 12 - 2 = -6x + 10

Answer:

1515

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Answer:

x = 3, y= 5

Step-by-step explanation:

y = 2x - 1 -----(1)

y = 3x + 2 ----(2)

From (1)

2x - y = 1 ----(3)

From (2)

3x - y = -2 -----(4)

Solving (3) and (4) simultaneously

2x - y = 1

- 3x - y = -2

___________

x = 3

subst. x = 3 in (1)

2(3) - y = 1

6 - y = 1

y = 6-1

y = 5

Hence, x = 3, y = 5

Answer:

452.38 US dollars.

Step-by-step explanation:

Answer:

50 cm²

Step-by-step explanation:

We know that PQRS is a paralleogram so we know that RS = PQ.

We also know that ΔPQT and ΔPRS has the same height . The the area is the same, from the area of that we can get 50 cm²

Answer:

60

Step-by-step explanation:

I hope this helps

The diameter of the  cylinder is equal to 59.98 units.

Given the following data:

To determine the diameter of the  cylinder:

First of all, we would find the radius of the circular base of this cylinder.

Mathematically, the volume of a cylinder is given by the formula:

[tex]Volume = \pi r^2h[/tex]

Making r the subject of formula, we have:

[tex]r=\sqrt{\frac{V}{\pi h} }[/tex]

Substituting the given parameters into the formula, we have;

[tex]r=\sqrt{\frac{33912}{3.142 \times 12} }\\\\r=\sqrt{899.43}[/tex]

Radius, r = 29.99 units.

For the diameter:

[tex]Diameter = 2 \times radius\\\\Diameter = 2 \times29.99[/tex]

Diameter = 59.98 units.

Read more: https://brainly.com/question/1908836

Step-by-step explanation:

we see f(x), which is |x|.

and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.

shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.

so, a shift down by 3 units is done by adding -3.

therefore, C is the correct answer (the original f(x) - 3).

Answer:

7 - [tex]x^{2}[/tex]

Step-by-step explanation:

This is the answer because:

1. "Difference" means subtraction

2. The statement basically is saying, what is 7 subtracted by the square of x

3. That simplifies to 7-x^2

Hope this helps!

Hi there! (:

The difference of means we subtract:

7-f² (let the number be f)

Hope it helps!

~An excited gal

#StayJoyful

[tex]SparklingFlower[/tex]

Answer:

its 100

Step-by-step explanation:

The question is asking what is ∠ABD, you  have to look at when A=0 on the projector, so if you follow along the 0° from A, when it reaches D, the project reads 100°

no guessing here,

you know 80° cannot be correct because this angel is obtuse and not acute

which means greater that 90°

Answer:

10.25

Step-by-step explanation:

Using the pythagorean theorem

13^2 = 8^2 + (ML)^2

169 = 64 + (ML)^2

Subtract 64 from both sides

105 = (ML)^2

Take the square root of both sides

10.25 = ML

I think I need to know what the cat weighs first...

Answer:

A & C

Step-by-step explanation:

To find the two expressions that are equivalent to 6.5 ÷ 1.3, you need to solve all of them until you get the two expressions that have a quotient of 5.

Let's begin solving!

65 ÷ 13  = 5

So now we know that A is one of our answers

65 ÷ 130 = 0.5

Not one of our answers because the quotient is not 5

650 ÷ 130 = 5

This is our other answer! We don't need to solve D because we only needed to find two expressions which are A and C.

Hope this helps you :)

Answers are A and C.

6.5 ÷1.3 = 5

A. 65 ÷ 13 = 5 so yes

B. 65 ÷ 130 = .5 so no

C. 650 ÷ 130 = 5 so yes

D. 650 ÷ 13 = 50 so no

Answer:

y=4/3x+19/3

Step-by-step explanation:

perpendicular = slope is the negative reciprical.

plug in the point (-4,1) for (x,y)

1(y)=4/3(-4)+b

1=-16/3+b

b=19/3

Answer:

I have no clue I'm trying to get my account set up

Answer:

2456≈2500

14725=14700 (to 3sf)

Answer:

$8

Step-by-step explanation:

60% of 30 is 16.

1/2 of 16 is 8.

He has $8 left.

Answer:

the answer for this equation is -32