8th grade math please help

3. {6,9,15)

for these u have use Pythagoras theorem

Answer:

35

Step-by-step explanation:

angles in a straight line add up to 180°

so 180-75=105

105÷3= 35

Answer:

450%

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Let the three consecutive positive even integers be x-1, x and x+1

First = x-1

Second = x

Third  = x+1

If the product of the second and third integers is twenty more than ten times the first integer, then;

x(x+1) = 20 + 10(x-1)

Open the bracket

x² + x = 20 + 10x - 10

x² + x = 10x + 10

x² + x - 10x - 10 = 0

x² - 9x - 10 = 0

x² -10x + x - 10 = 0

x(x-10)+ 1(x-10) = 0

(x+1)(x-10) = 0

x+1 = 0 and x-10 = 0

x = -1 and 10

Hence the 2nd of three consecutive positive even integers is 10

Answer:

Interest= $516.93

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,200

Number of periods (n)= 12*3= 36 months

Interest rate (i)= 0.12/12 = 0.01 monthly

First, we need to calculate the future value of the investment using the following formula:

FV= PV*(1 + i)^n

FV= 1,200*(1.01^36)

FV= $1,716.93

Now, the interest earned:

Interest= 1,716.93 - 1,200

Interest= $516.93

Answer:

$175

Step-by-step explanation:

140x6+seventh seek pay/7=145

The car will take 23 minutes to complete the trip if in a car trip, the time of trip is inversely proportional to the speed travelled.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

Let T is the time and S is the speed.

Then,

T ∝ 1/S

T = k/S

k is the constant of proportionality

Plug T = 41 minutes = 0.683 hour and S = 46 mph

0.683 = k/46

k = 31.418 m

T = 31.418/S

Plug S = 82 mph

T = 31.418/82 = 0.383 hour (multiply it by 60 to convert it into the minutes)

T = 22.988 minutes ≈ 23 minutes

Thus, the car will take 23 minutes to complete the trip if in a car trip, the time of trip is inversely proportional to the speed travelled.

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ2

Answer:

B: 27

Step-by-step explanation:

The total number of animals in a shelter is modeled by the function:

[tex]f(x)=2x^2-45x[/tex]

Where x is the number of cages at the facility.

We want to determine the number of cages if there are a total of 243 animals at the shelter.

So, we can set our function to 243 and solve for x:

[tex]243=2x^2-45x[/tex]

Subtract 243 from both sides:

[tex]2x^2-45x-243=0[/tex]

Solve the quadratic. Factoring and completing the square seems too difficult, so we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 2, b = -45, and c = -243. Substitute:

[tex]\displaystyle x=\frac{-(-45)\pm\sqrt{(-45)^2-4(2)(-243)}}{2(2)}[/tex]

Evaluae:

[tex]\displaystyle x=\frac{45\pm\sqrt{3969}}{4}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{45\pm63}{4}[/tex]

Therefore, our two solutions are:

[tex]\displaystyle x=\frac{45+63}{4}=27\text{ or } x=\frac{45-63}{4}=-\frac{9}{2}[/tex]

Since we cannot have negative or half a cage, we can ignore the second solution.

Therefore, there are a total of 27 cages at the shelter.

Our answer is B.

Answer:

B. 27 is the answer.

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Answer:

Step-by-step explanation:

The nth term in the geometric sequence:  [tex]a_n=a_1\cdt r^{n-1}[/tex]

a₁ = 2  and  r = 3

So:

    [tex]a_5=a_1\cdot r^4=2\cdot3^4 = 2\cdot81=162[/tex]

Answer:

3x(-4)

:) hope this helps xox

Step-by-step explanation:

Answer: 13 times

Step-by-step explanation:

78 / 6 = 13 times

Answer: you actually already have the answer I would show work but that’s too much typing but trust. 733.04

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

its 83.6859 km but simplified it would be 84 km

Step-by-step explanation:

Answer:

1 and - 4is the correct answer

Answer:

-3<x<-1

Step-by-step explanation:

Areas under the x-axis have y-values less than 0.

As you can see in the graph, the equation is under the x-axis between -1 and -3 on the x-axis.

-1 and -3 are not included because they are exactly on 0 on the y-axis and the question is asking for numbers that are LESS than 0.

Answer:

D

Step-by-step explanation:

X+2y=10

-4x-y=2

first, isolate x in first equation: x=10-2y

substitute value of x in first equation (10-2y) into second equation:

-4(10-2y)-y=2

-40+8y-y=2

7y=42

y=6

put value of y (6) into either equation to solve for x

x+2(6}=10

x+12=10

x=-2

x=-2, y=6

prove by inserting x and y values into either equation

-4x-y=2

-4(-2)-6=2

8-6=2

2=2

or

x+2y=10

-2+2(6)=10

-2+12=10

10=10

Answer:

t = p + 12

Independent variable: p

Dependent variable: t

Step-by-step explanation:

Answer:

here the link:

78siga6q9mm

Answer:

its b

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

% of change = the difference between the new price and the old price ÷ the old price × 100

=> % of change = (18.9 - 16.8) ÷ 16.8 × 100 = 12.5

=> The ans will be 12.5%

Answer:

[tex]\boxed {\boxed {\sf m=\frac{4}{5}}}[/tex]

Step-by-step explanation:

Slope helps us describe how steep a line is and its direction. The formula for slope is the change in y over the change in x.

[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are points the line passes through.

We know the line passes through the points (0,3) and (5,7). Therefore, if we match these points to their corresponding variable:

[tex]x_1=0\\y_1=3\\x_2=5\\y_2=7[/tex]

Substitute these values into the formula.

[tex]m= \frac{7-3}{5-0}[/tex]

Solve the numerator.

[tex]m=\frac{4}{5-0}[/tex]

Solve the denominator.

[tex]m=\frac{4}{5}[/tex]

This fraction is reduced, so it is the slope.

The slope of the line passing through (0,3) and (5,7) is 4/5

Answer:

50 Cans (I think)

Step-by-step explanation:

I set up the proportion of 9/50 and 45/x and cross-multiplied to find x.  After solving for x, which was 250, I subtracted all of the other paints.

250-48-45-39-35-33=50

That's how I got to 50 cans sold.

Answer:wow

Step-by-step explanation:

This is honestly amazing 10/10

Answer:

i do :D

Step-by-step explanation: ....................

Answer:

340

Step-by-step explanation:

We can see in the sample that 18/50 people bring lunches to school. If we divide 18 by 50 we get 0.36 now we know that 36% of people bring their lunches in the sample. Now we take that number and multiply it by 942.

0.36*942= 339.12 which we can round to 340

Answer:

Step-by-step explanation:

If  the function   is transformed to obtain the function , then a transformation that affects the x-variable has taken place.

Recall that a transformation that adds t units to the variable "x" represent graphically the horizontal displacement of the original function,"t" units to the left.

Therefore, the correct answer is:

"The graph of his the graph of g horizontally shifted left 7 units."

which agrees with option "B" in your given list.

Answer:

a. PD and AR

b. OR

c. a right angle