factor completely 8y2 + 6y + 1

Answer:

x = 5 and y = 3

Step-by-step explanation:

5x - 3y = 16

3x - y = 12 multiply second equation by (-3)

(-3)*(3x-y) = 12*(-3) (remember we need to multiply both sides of the equation)

-9x + 3y = -36 now subtract this from the first equation

5x - 3y -9x + 3y = 16 - 36 (-3y will eliminate +3y)

-4x = -20 and 4x = 20 divide both sides by 4

x = 5 if 3x - y = 12 then 3*5 - y = 12

15 - y = 12

-y = -3 and y = 3

Answer:

44

Step-by-step explanation:

Let's say that Devaughn's age is D, and Sydney's age is S.

We know that D is 7 greater than S, so D = 7 + S.

We know that the sum of their ages, or D + S, is equal to 95, so D+S = 95

We have

D = 7 + S

D + S = 95

What we can do is plug D= 7 + S into the second equation to get

D + S = 95

= (7+ S) + S

= 7 + 2 * S

7+2 * S - 95

subtract 7 from both sides to isolate the coefficient and the variable

2 * S = 88

divide both sides by 2 to isolate the variable

S = 44

Sydney is therefore 44 years old

Answer: X = 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

I can tell you what it represents, but not what it means. Or maybe the units.

V(5/7) means that wherever you see an r on the right hand side, you put in 5/7 where the R is.

V = 4/3 * pi * r^3

V(5/7) = 4/3 * 3.14 * (5/7)^3

V(5/7) = 4/3 * 3.14 * 125 / 343

V(5/7) = 4/3 * 3.14 * 0.3644

V(5/7) = 1.526 cubic units (of whatever the units of 5/7 were to begin with)

Answer:

Step-by-step explanation:

We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:

y = 10x

Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:

2(x + y) = xy and we know that y = 10x so

2(x + 10x) = x(10x) and

[tex]2(11x)=10x^2[/tex] and

[tex]10x^2-22x=0[/tex] and

x(10x - 22) = 0 so

x = 0 or 10x - 22 = 0 which makes

x equal to [tex]\frac{22}{10}=2.2[/tex]

So x = 2.2 and y = 22.

Answer:

-1

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

Slope = (8 - 5) / (-10 - -7)

Slope = 3 / (-3)

Slope = -1

Answer:

1.likely. 11.likely

2. likely. 12.likely

3. likely. 13.likely

4. unlikely 14. unlikely

5. likely. 15. likely

6. likely

7. likely

8. likely

9. likely

10. likely

Step-by-step explanation:

im correct if I'm rwong

Answer:

-24.4 ≥ w

Step-by-step explanation:

-13.4 ≥ 6.7 + 4.3 + w

-13.4 - 6.7 - 4.3 ≥ w

-24.4 ≥ w

Answer:

24) x = 9.2

25) x = 30.8

Step-by-step explanation:

Given

See attachment for triangles

Solving (24)

To solve for x, we make use of cosine formula

i.e.

cos(40) = adjacent ÷ hypotenuse

So, we have:

cos(40) = x ÷ 12

Multiply both sides by 12

12 cos(40) = x

12 * 0.7660 = x

x = 9.2

Solving (25)

To solve for x, we make use of sine formula

i.e.

sin(25) = opposite ÷ hypotenuse

So, we have:

sin(25) = 13 ÷ x

Multiply both sides by

x sin(25) = 13

Divide by sin(25)

x = 13 ÷ sin(25)

Using a calculator

x = 30.8

Answer:

the answer is -3

Step-by-step explanation:

0.7x - 1.4 = -3.5

add 1.4 to both sides of the equation

you're left with 0.7x = -2.1

then divide both sides by 0.7

you're left with your answer of -3

Answer:

The surface area of the pyramid is 16.65 m^2.

Step-by-step explanation:

Answer:

1 describe the inequality graph

Step-by-step explanation:

divide the divisor and dividend by 10

Answer:

20

Step-by-step explanation:

3 (b + a) = c

3 (4 + 5) = 7

12 + 15 = 7

27 = 7

27 - 7

20

[tex]\huge\boxed{ \sf{Answer}} [/tex]

Given,

[tex]a = 5 \\ b = 4 \\ c = 7[/tex]

And the equation we need to solve is,

[tex]3(b + a) = c[/tex]

To find the answer, you need to substitute the values of a, b & c in the equation.

[tex]3(b + a) = c \\ 3b + 3a = c \\ ( 3 \times 4) +( 3 \times 5) = 7 \\ 12 + 15 = 7 \\ 12 + 15 - 7 = 0 \\ = 27 - 7 \\ = 20[/tex]

↦ The answer is 20.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

120 in^2

Hope it helps

Answer:

-7

Step-by-step explanation:

63/9 but there is an odd number of negative numbers so negative answer

Step-by-step explanation:

Cos A = 40^2 + 25^2- 34^2 ÷ (2×40×25)

= 200+625-1156 ÷ (2000)

= 1069 ÷2000

Cos A = 0.5345

A= cos inverse 0.5345

A = 57.7

Answer:

57.7

Step-by-step explanation:

took the test

Answer:

x = 27.5.

Step-by-step explanation:

There are given numbers on each side. If the figures are similar, then they have a set ratio for each value.

So, 55:8 and x:4. If you want to, you can flip it, so that it is 8:55 and 4:x.

With that in mind, it is easy to see what the ratio is. Because 4 is half of 8, x is half of 55. 55 divided by 2 is 27.5.

Therefore, x = 27.5.

Answer:

The fraction of the pocket money she left is 1/8.

Step-by-step explanation:

Let the total pocket money is p.

Spent on Monday = p/2

Amount left = p - p/2 = p/2  

Spent on Tuesday = 2/3 of p/2 = p/3

Amount left = p/2 - p/3 = p/6

Spent on Wednesday = 1/4 of p/6 = p/24

Amount left = p/6 - p/24 = p/8

So, the fraction of the pocket money she left is 1/8.  

Answer:

is there is no value of April

Step-by-step explanation:

so the value of the month April is zero

Answer:

8/15

Step-by-step explanation:

The ratio of perpendicular to base is tan B .

Here ,

=> tan B = 8 ft/ 15ft

=> tan B = 8/15

Answer:

divide 3 by the amount of feet to get to the yards

Step-by-step explanation:

For every three feet, there's always one yard

so to do this only given feet, we'll need to divide the amount of feet by 3 to represent the amount of yards

Answer:

[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes

Step-by-step explanation:

[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]

it would take Ted and Jacob 1.2 hours, or 1 hour and 12 minutes, to clear the field together.

Two or more expressions with an Equal sign is called as Equation.

Let's start by using the formula for the combined work of two people:

1/t = 1/3 + 1/2

Here, t represents the number of hours it would take to clear the field together.

To solve for t, we can first find a common denominator for the fractions on the right-hand side of the equation:

1/t = (2/6) + (3/6)

1/t = 5/6

To isolate t on one side of the equation, we can take the reciprocal of both sides:

t/1 = 6/5

t = 1.2

Therefore, it would take Ted and Jacob 1.2 hours, or 1 hour and 12 minutes, to clear the field together.

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Answer:x intercept is where the line is crossing the x axis or where y=0

y intercept is where the line crosses the y axis or where x=0

to find them, set other ting to zero

3/5x+1/3y=1/15

xintercept, set y=0

3/5x+1/3(0)=1/15

3/5x+0=1/15

3/5x=1/15

times 5/3 both sides

x=1/9

xintercept is x=1/9

yintercet

set x=0

3/5(0)+1/3y=1/15

0+1/3y=1/15

1/3y=1/15

times 3/1 both sides

y=1/5

yintercept is y=1/5

xint is x=1/9

yint is y=1/5

Step-by-step explanation:

The equation of line is ( 3/5 )x+ ( 1/3)y = ( 1/15 ) , where x-intercept of the line is ( 1/9 , 0 ) and the y-intercept of the line is ( 0 , 1/5 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

( 3/5 )x+ ( 1/3)y = ( 1/15 )

To find the x-intercept of the line, we set y = 0 and solve for x:

3/5x + 1/3(0) = 1/15

3/5x = 1/15

x = (1/15) ÷ (3/5) = 1/9

So the x-intercept of the line is (1/9, 0)

To find the y-intercept of the line, we set x = 0 and solve for y:

3/5(0) + 1/3y = 1/15

1/3y = 1/15

y = (1/15) ÷ (1/3) = 1/5

So the y-intercept of the line is (0, 1/5)

Hence , the equation of line is solved

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Answer:

2/60 = 1/30 = 3.3%

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Step 1: Solve (-2+(-1))^2/3 3

           1. -2+(-1) = -3

           2. (-3)^2 = 9

           3. 9/3 = 3

Step 2: Solve (-4)^2-17 -1

           1. 3/-1

Step 3: Simplify 3/-1 = -3. I hope this helped and please don't hesitate to reach out with more questions!