An eight-person relay team completed a race in 96.8 seconds. On average, what was each runner's time?

Step-by-step explanation:

x = pounds A

y = pounds B

x + y = 123

4.45x + 5.85y = $643.95

from the first equation we get

x = 123 - y

and we use that in the second equation :

4.45×(123 - y) + 5.85y = 643.95

547.35 - 4.45y + 5.85y = 643.95

1.4y = 96.6

y = 69

x = 123 - y = 123 - 69 = 54

so, he used 69 pounds of B coffee.

There is a total of 52 grams of carbs in 1/4 cup, then 1 tablespoon will contain 208 grams of carbs.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given information in the question,

There are 52 grams of carbs in 1/4 cup of syrup

Let's assume that the amount of carbs in 1 tablespoon is x.

So,

x = (52 × 4)

x = 208 grams.

To know more about arithmetic operations:

https://brainly.com/question/25277954

#SPJ2

Answer:

The apples may have costed 0.50 cents each, and she may have bought 10, which would result in her paying 10 dollars, and receiving 5 dollars in change.

Step-by-step explanation:

Multiply 10 (the amount she gave to the cashier) by 0.50%, it equals 5, so that's how much she paid, and since she gave a 10 dollar bill, she should get 5 dollars in change.

T^T

Answer:

[tex](x,y) = \left(5,\dfrac{27}2 \right), \left(0,-9), \left(9, -\dfrac 92 \right)[/tex]

Step-by-step explanation:

Answer:

0.670. M

Step-by-step explanation:

Molarity can be expressed like this:

molarity =  number of moles /volume (L)

We know the volume, which is  2.37 L , but we need to find the number of moles. We can do this by dividing  67.3 g  by the molar mass of  L i C l :

number of moles  = mass of sample /molar mass

number of moles  =  67.3 g /(6.94 + 35.45) g/mol  = 67.3 g /42.39 g/mol

number of moles = 1.59 mol

molarity = 1.59 mol /2.37 L =  0.670. M

Answer:

4689594

Step-by-step explanation:

Answer:

the probability would be 30% but as a fraction it would be 3/10

Step-by-step explanation:

Answer:

7/15

Step-by-step explanation:

The probability of the first one is 7/10 and the second one is 6/9. Multiply them together and you get 42/90, which simplifies to 7/15.

Answer:

Last answer, height is 150 ft

Step-by-step explanation:

from the graph, you can clearly see, when T=3, H=150

Which means The firework is at a height of 150 feet

Answer:

D

Step-by-step explanation:

At 3 seconds, the firework is at a height of 150 feet

Answer is D. third option

The firework is at a height of 150 feet

Answer:

Function

Step-by-step explanation:

Hope it help !!

Answer:

A

Step-by-step explanation:

After doing long division we then know that 2,952 ÷24 = 123

We 1st follow pemdas knowing this we solve the equations in parenthesis 1st

(2,400 ÷ 24) + (480 ÷ 24) + (72 ÷ 24)

2,400 ÷ 24 = 100

480 ÷ 24 = 20

72 ÷ 24 = 3

We can then rewrite the equation as

100 + 20 + 3   We then solve left to right

100 + 20 = 120

120 + 3 = 123

Answer:

0.3

Step-by-step explanation:

Answer:

[tex]{ \tt{30\% = 0.3}} \\ [/tex]

Answer:

44u-36

Step-by-step explanation:

42u-36+2u

44u-36

9.14 liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength.

To determine how many liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength, the following calculation must be performed:

Therefore, 9.14 liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength.

Learn more about maths in https://brainly.com/question/25865591

Answer:

(-5, -7)

Step-by-step explanation:

Answer:

[tex](-5,-7)[/tex]

Step-by-step explanation:

[tex]f(x)=2x+3[/tex]

[tex]g(x)=-4x-27[/tex]

[tex]2x+3=-4x-27[/tex]

[tex]6x+3=-27[/tex]

[tex]6x=-30[/tex]

[tex]x=-5[/tex]

[tex]f(-5)=2(-5)+3[/tex]

[tex]f(-5)=-10+3[/tex]

[tex]f(-5)=-7[/tex]

Therefore, the point of intersection is [tex](-5,-7)[/tex]

Answer:

It does not matter, since, from your second case, [tex]5\sqrt5 +11 = 11+5\sqrt5[/tex].

In general is a matter of personal preference but in general I like to start with a positive number (I like [tex]\sqrt2 -1[/tex] more than [tex]-1+\sqrt2[/tex] since if there's an equal sign before I'm guaranteed to have the two signs mesh together in a few steps).

If everything you are adding together is positive, I just go first come first served and pick a new term in order it appears in the previous passage.

Answer:

x=-5 and y= 4

Step-by-step explanation:

To eliminate x, add up both equations

9y= 36

divide both sides by 9

y=36/9

y= 8

To eliminate y, multiply the first equation by 8

-16x + 8y = 112

2x+ 8y= 22

Subtract equation 2 from equation 1

-18x = 90

Divide both sides by -18

x= 90/-18

x= -5

[tex] \sqrt{128} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} } \\ = 2 \times 2 \times 2 \\ = 8[/tex]

[tex] \sqrt{48} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times 3 } \\ = 2 \times 2 \sqrt{3} \\ = 4 \sqrt{3} [/tex]

[tex] \sqrt{300} \\ = \sqrt{2 \times 2 \times3 \times 5 \times 5} \\ = \sqrt{ {2}^{2} \times 3 \times {5}^{2} } \\ = 2 \times 5 \sqrt{3} \\ = 10 \sqrt{3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

3y

Step-by-step explanation:

(-9x+7y)-(-9x+5y)

Distribute the negative(-)

-9x+7y+9x-5y

-9 and 9 cancel each other

3y

The simplest terms of the given expression  (-9x + 7y) - (-9x + 5y) will be 2y.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

(-9x + 7y) - (-9x + 5y)

Open the bracket

-9x + 7y + 9x - 5y

Combined likely terms together

-9x + 9x + 7y - 5y

0 + 2y = 2y

Hence "The formula (-9x + 7y) - (-9x + 5y) will have 2y as its simplest terms".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Answer:

b

Step-by-step explanation:

took the test a bit ago

Answer:

Assuming that the question is asking how many employees there are, your answer would be 675.

Step-by-step explanation:

Answer:

the answer is number 1 !!

• correct me if I'm wrong

Answer:

x=-3

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

Since both are y-isolated equation, we can write as:

[tex]\displaystyle \large{6x-2=4x-2}[/tex]

Solve for x, first move 4x to subtract with 6x and -2 to add with -2

[tex]\displaystyle \large{6x-4x=-2+2}\\\displaystyle \large{2x=0}\\\displaystyle \large{x=0}[/tex]

Then substitute x = 0 in any of these equations which we receive y = -2.

And the solution is (0,-2) which only has one solution.

Answer:

$4.32

Step-by-step explanation:

If you are splitting it evenly, just divide 12.96 by 3

12.96 / 3 = $4.32

The solution of the given equation will be C -x< 30

An equation represents the equality of two or more mathematical expressions.

A Solutions to an equation are those values of the variables, involved in that equation for which the equation is true.

We have been given the equation as 3-x/2<18.

Now solving for x

3-x/2<18.

Eliminate 3

-x/2 < 18 - 3

-x/2 < 15

Multiply by 2 on both sides;

-x/2 < 15 (2)

-x< 30

Therefore, the solution of the given equation will be C -x< 30

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ1

Answer:

64m^2 - 112m + 49

Step-by-step explanation:

You just do the math lol.

Answer:

64m^2 + 112m + 49

Step-by-step explanation:

I got it right in Grandpoint.

[tex] = {8}^{3} \: \: cm ^{3} \\ = 512 \: \: {cm}^{3} [/tex]

Answer:

The volume is 512 cube centimetres.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

2nd option

Step-by-step explanation:

Repeatedly divide by 2 until the value 1 is reached

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1 ← finish here

Then

32 = 2 × 2 × 2 × 2 × 2