Please help me with this problem

Answer:

[tex]b_2 = -2.5[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}(4.5 + b_2) * 6 = 21[/tex]

Required

Determine the value of T

[tex]\frac{1}{2}(4.5 + b_2) * 6 = 21[/tex]

Multiply both sides by 2

[tex]2 * \frac{1}{2}(4.5 + b_2) * 6 = 21 * 2[/tex]

[tex](4.5 + b_2) * 6 = 42[/tex]

Divide through by 6

[tex]4.5 + b_2 = 42/6``[/tex]

[tex]4.5 + b_2 = 7[/tex]

[tex]b_2 = 7 - 4.5[/tex]

[tex]b_2 = -2.5[/tex]

the answer is 95.

Step-by-step explanation:

180-85=95

Answer:

m<1= 95

Step-by-step explanation:

180-85=95

Given:

Able's age can be represented by x.

Able's sister is 4 years younger than him.

Able's older brother is twice as old as he is.

The combined age of all three siblings is 32.

To find:

The age of Able's younger sister.

Solution:

Able's age can be represented by x.

Able's sister is 4 years younger than him.

Age of Able's sister = (x-4)

Able's older brother is twice as old as he is.

Age of Able's older brother = 2x

The combined age of all three siblings is 32.

[tex]x+(x-4)+2x=32[/tex]

[tex]4x-4=32[/tex]

Add 4 on both sides.

[tex]4x=32+4[/tex]

[tex]4x=36[/tex]

Divide both sides by 4.

[tex]x=\dfrac{36}{4}[/tex]

[tex]x=9[/tex]

The age of Able is 9 years. So, age of his younger sister is

[tex]9-4=5[/tex]

Therefore, the age of Able's sister is 5 years.

Answer:

Step-by-step explanation:

Answer:

The x-intercept occurs when y is zero. The y-intercept is the point, (0,b) , where the graph crosses the y-axis . The y-intercept occurs when x is zero.

Step-by-step explanation:

Answer:

Speed of the first car = x = 35km/hr

Speed of the second car = 25km /hr

Step-by-step explanation:

The calculation of speeds of the cars is given below:-

Assume that the speed of the 1st car which is opening from A = x km/hr

and assume the Speed of the 2nd car which is starting from B

= y km/hr  

As we know that

Time = Distance ÷ Speed

So, the distance lies between two places i.e.  A and B are

80km d = 80 km

1. now when the car moves in the similar  direction

So, the corresponding speed of them = (x + y)km/hr

Time = 8hr

d = 80km

[tex]8 = \frac{80}{(x + y)}\\\\x + y = \frac{80}{8}\\\\x + y = 10 ..... (i)[/tex]

2. when two cars moving in the inverse direction,

So, the corressponding speed = (x - y) km / hr

Time = 1 hr 20 minutes

That means

= (1 + 20 ÷ 60) hr

= (80 ÷ 60)

= 4/3 hr

d = 80km

Now

4 ÷ 3 = 80 ÷ (x -y)

x -y = (80 × 3) ÷ 4

x - y = 60 ..... (ii)

Now, we will sum equation 1 and equation 2 we will get

2x = 70

x = 35

now, Put x = 35 in (i) we will get

y = 25

Speed of the first car = x = 35km/hr

Speed of the second car = 25km /hr

Answer:

[tex]x^{3} + 7x[/tex]

Step-by-step explanation:

cube of a number is the number multiplied by itself thrice.

This means:

x × x × x = [tex]x^{3}[/tex]

Seven times (multiply, ×) the number(x) means:

7 × x = [tex]7x[/tex]

We are to sum (add, +) both:

[tex]x^{3}[/tex] + [tex]7x[/tex]

Answer is [tex]x^{3}[/tex] + [tex]7x[/tex]

Answer:

35%

Step-by-step explanation:

1,000 + 35% = 1,350

Answer:

the third option: x + 2(2x - 4) = 10

Step-by-step explanation:

the question tells you that y = 2x - 4.

so, instead of writing y in the equation, just replace it with 2x - 4.

x - 2y = 10

becomes

x - 2(2x-4) = 10

Answer:

Elizabeth what??????

Answer:

x ≤ 2

Step-by-step explanation:

6−2 ≤ −2x

4 ≤ −2x

x ≤ 2

Answer:

[tex]Frozen\ Soup = 7550mL[/tex]

Step-by-step explanation:

Given

[tex]Soup = 9,350mL[/tex]

[tex]Packed = 1.8L[/tex]

Required

Determine the frozen soup

This is calculated as thus:

[tex]Frozen\ Soup = 9,350mL - 1.8L[/tex]

Convert 1.8L to mL

[tex]Frozen\ Soup = 9,350mL - 1.8 * 1000mL[/tex]

[tex]Frozen\ Soup = 9,350mL - 1,800mL[/tex]

[tex]Frozen\ Soup = 7550mL[/tex]

Answer:

Your friend is incorrect

Step-by-step explanation:

(a + b) + c = a + (b + c) .... associative property of addition

(ab)c = a(bc) .... associative property of multiplication

(a + b)c = a + (bc) .... Incorrect

(ab) + c = a(b + c) .... Incorrect

The equation is y = mx + b. b is the y intercept, which means the line intersects the y axis at 50, not the x axis. Also, the equation is an inequality and you wrote an equation. The inequality should be 100 ≥ 4x + 50, or 50 ≥ 4x. If y = 4x + 50, then 100 ≥ y.

Also, in the end you got 12.5. 12.5 is not a number of people that can attend her party. The number has to be a positive integer.

Usually, inequalities are graphed with shading up or down. In this case it is down because you have a limit on how much Gamora can spend.

The actual answer is 12 people.

Your answer was almost right if only you had converted it to the greatest positive integer less than 12.

Your graphing was wrong because you put 50 as the x intercept instead of the y intercept, and you forgot to shade. The question tells you to graph an inequality.

I hope this helps because I spent a long time typing this :)!

Answer:

22

Step-by-step explanation:

blue = 1

red = 10

green= 2

Answer:

43

Step-by-step explanation:

red:10

green 1:4

green 2:8

blue 1:3

blue 2:6

blue 1 + red 1 * green 1

PEMDAS: (10*4)=40

3+40=43

Answer:

The length of the base the pyramid is 116 feet.

Step-by-step explanation:

See the diagram attached to this answer.

Let Δ OAB is the side triangle of the square pyramid, and A'B' is the mid segment parallel to the ground with length of 58 feet.

Now, Δ OAB and Δ OA'B' are similar triangle and the length of sides of the triangle Δ OA'B' are in the same ratio with the corresponding sides of Δ OAB.

Hence,

⇒ AB = 2 × 58 = 116 feet.

The length of the base the pyramid is 116 feet. (Answer)  

Answer:

840

Step-by-step explanation:

He gets 685 votes. This is 125 more than 2/3 of the total number of votes. So 2/3 must be 125 less than 685.

2/3=560

So ÷2 to find 1/3, because 2/3 ÷2 = 1/3.

1/3=280

So then you x3 because 1/3x3=3/3, or 1 whole.

1 whole=840

840=total number of votes

Answer:

1/2 is 0.5

but % means times by 0.01

so 1/2% is way more smaller

Step-by-step explanation:

Let the number of toppings be y

If cheese pizza at Chicago's Deep Dish pizza costs $7 and each topping costs an additional $0.75, the total amount of the dish pizza will be expressed as;

$7 + $0.75y ..... 1

Also, if a cheese pizza at Brooklyn's cost $12 and each topping costs an additional $0.50, then the total cost of cheese pizza will be;

$12 + $0.50y ........ 2

If the two pizzas cost the same, then equation 1 will be equal to equation 2 as shown;

7+0.75y = 12+0.50y

Make y the subject of the formula to generate the required equation for y:

0.75y-0.50y = 12-7

0.25y = 5

divide both sides by 0.25

0.25y/0.25 = 5/0.25

y = 5/0.25

y = 20

Hence the equation that represents how many toppings, y, must be added so that the two pizzas cost the same is y = 5/0.25 and the number of toppings added is 20.

Answer:

terminating repeating decomal

Step-by-step explanation:

Answer: terminating repeating decimal

Step-by-step explanation: In the subject of Mathematics, we usually classify numbers in several types: whole numbers, rational numbers, natural numbers, and real numbers. We also include decimals in these types. Decimals are used by us to convey a whole number and a fraction together. We do this by separating a whole number from the adjoining fraction by inserting “.” between them. This symbol is called a decimal point. In other words, decimals are just another way of representing fractions.

Answer:

x = - 1, y = 6

Step-by-step explanation:

Given the 2 equations

y = - 2x + 4 → (1)

y = 6x + 12 → (2)

Substitute y = 6x + 12 into (1)

6x + 12 = - 2x + 4 ( add 2x to both sides )

8x + 12 = 4 ( subtract 12 from both sides )

8x = - 8 ( divide both sides by 8 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (2)

y = 6(- 1) + 12 = - 6 + 12 = 6

Solution is (- 1, 6 )

Answer:

16

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

2×(4 - 1) ^2

2 ×3 ^2

2 ×9

18

Answer:

first option

Step-by-step explanation:

Answer:

A. 0.05, 0.2, 0.48, 0.6.

Answer:

1.3.6

Step-by-step explanation:

i took the test its right

Answer:

1,3,6

Step-by-step explanation:

it is correct

Answer:second one

Step-by-step explanation:

you then have to distribute the answer not subtract 9 1/4 from 1.5

you have to do the parenthesis next

4.5/0.5=45/5=9

then

1.5*9= 13.5

then

9.25-13.5 which I think you are capable of solving

Answer:

Answer is B

Step-by-step explanation:

I did the test

Answer:

1

Step-by-step explanation:

Answer:

Anything raise to 0 is 1

so (-6)^0=1

Answer:

Step-by-step explanation:

Several congruent angles are formed.

Vertical angles are formed.

Complementary angles are formed.

Supplementary angles are formed.

Obtuse angles are formed.

1