Mariah swam her leg of the race in 24.98 seconds and Janet swam her leg of the relay race in 25.874 seconds. What was their combined time for their part of the relay?
A. 0.894 seconds
B. 28.372 seconds
C. 50.844 seconds
D. 50.854 seconds

Answer: 48, 52

Step-by-step explanation:

The sum of the two numbers (x, y) is 100. This means that;

x+y=100

Their difference is 4, so;

y=x+4

Now, you can substitute that in for y;

x+(x+4)=100

Simplify;

2x+4=100

2x=96

x=48

Now, we plug in the value of x to the second equation;

y=48+4

y=52

Answer:

48 and 52

Step-by-step explanation:

We have a pair of simultaneous equations and will solve these using substitution.

x + y = 100 (1)

x - y = 4 (2)

Solve for x:

x+y=100 , x - y = 4

x=52

Substitute x with 52

(52) + y = 100  , (52) - y = 4

Simplify:

y = 48

Answer:

The angle is 36.87°

Step-by-step explanation:

To find the missing angle, we will have to use inverse SOH-CAH-TOA.

Looking at the angle, as well as the two sides, we can infer that the opposite of the unknown angle is 24. Since the given side is not the hypotenuse but the adjacent, we know that we will be using inverse tangent (TOA).

[tex]tan^{1}[/tex] (x) = [tex]\frac{24}{32}[/tex]

x = [tex]tan^{-1}[/tex] ([tex]\frac{24}{32}[/tex])

x = 36.87°

Answer:

≈ 36.9

Step-by-step explanation:

You are given the opposite and adjacent side, leading you to use tan. However, since you're trying to find the angle measurement, and not the side, you use the inverse of tan: [tex]tan^-1[/tex]

Set it up like this:

[tex]tan^-1 (\frac{24}{32})=?[/tex]

When you solve, you get:

36.86

Round to the nearest tenth:

36.9

Answer:

204inches i think

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

edge

Answer:

36.5625 cm^2

Step-by-step explanation:

To find volume, you multiply the three dimensions.

Answer:

36.56 cu. cm

Step-by-step explanation:

Volume = base x height x length

Answer: 4 inches by 10 inches

Step-by-step explanation:

The area of a rectangle can be written as b*h, while perimeter is equal to (2b +2h).

A = b*h = 40

P = 2b + 2h = 28

P = 2b + 2h

28 = 2b + 2h

28 = 2(b+h)

14 = b + h

What two numbers add to 14 and multiply to 40?

4 * 10 = 40

4 + 10 = 14

Answer:

10 and 4

Step-by-step explanation:

So the right answer is 71 degree

Look at the attached picture

Hope it will help you

good luck on your assignment

Answer:

D

Step-by-step explanation:

4/3 * pi * r^3 is the formula.

Answer:

c

Step-by-step explanation:

did the exam on edge and got 100

The slope is Negative two-fifths, and the y-intercept is Negative one-third. Hence, the correct option is A.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope of the linear function that is represented by the table,

Slope, m = [(-3/5) - (-13/30)]/[(2/3)-(1/4)]

= [(-18+13)/30] / [(8-3)/12]

= -(12/30)

= -(2/5)

The y-intercept of the linear function that is represented by the table can be found by substituting the coordinate of any one point in the equation of the line.

[tex]y = mx + c\\\\-(\dfrac{2}{15}) = -(\dfrac{2}{5})(-\dfrac12) + C\\\\-\dfrac{2}{15} = \dfrac15 + C\\C = -\dfrac5{15}\\\\C = -\dfrac13[/tex]

Hence, The slope is Negative two-fifths, and the y-intercept is Negative one-third. Hence, the correct option is A.

Learn more about Equation of Line:

https://brainly.com/question/21511618

#SPJ2

Answer:

a

Step by step explanation:

maybe

Step-by-step explanation:

Try using Pythagoras theorem. a^2+b^2=c^2. in this triangle c would be the length you are finding. substitute the other lengths into the equation.

Answer:

7(10+5)

Step-by-step explanation:

Answer:

272

Step-by-step explanation:

8 people on 1 table * 2 awards= 16 awards per table

16 awards per table * 17 tables = 272

Hope that breaks it down for you. Good luck with homework

Answer:

272 awards

Step-by-step explanation:

Step 1: 8 x 17= 136 (Find how many guest arrived)

Step 2: 136 x 2= 272 (Multiply guest by awards per guest)

Enjoy the answer.

Answer:

You must construct an angle bisector. The point where two angle bisectors meet is the center of the circle.

The correct answer is D. angle bisector.

Hope this helps =)

Answer:

Step-by-step explanation:

The Standard Deviation is defined as

[tex]\sigma =\sqrt{\frac{\Sigma (x_{i} -\mu)^{2} }{N-1} }[/tex]

Where [tex]\sigma[/tex] is the standard deviation, [tex]\mu[/tex] is the mean and [tex]N[/tex] is the total number of data.

So, first, we need to find the mean of the data set.

[tex]\mu = \frac{10+11+12+10.5+11.25+12.25+10}{7} =11[/tex]

Now, we have to subtract each data with the mean to then elevate the differnece to the square power.

[tex]10-11 = -1 \implies (-1)^{2}=1\\ 11-11 = 0 \\12-11 = 1 \implies 1^{2}=1\\ 10.5-11 = -0.5 \implies (-0.5)^{2} =0.25\\11.25 - 11 = 0.25 \imples (1.25)^{2}=0.0625\\12.25 - 11 = 1.25 \implies (1.25)^{2}=1.5625\\10-11 = -1 \implies (-1)^{2}=1[/tex]

Then, we sum all these results.

[tex]\Sigma (x_{i}- \mu )^{2}=1+0+1+0.25+0.0625+1.5625+1=16.278[/tex]

Next, we divide the sum by [tex]N-1=7-1=6[/tex]

[tex]\frac{\Sigma (x_{i}-\mu )^{2} }{N-1}=\frac{16.278}{6} \approx 2.713[/tex]

Finally, we apply the square root.

[tex]\sigma = \sqrt{2.713} \approx 1.65[/tex]

Therefore, the standard deviation for the given data set is 1.65.

Answer:

Bella will pass Ajjan after 4h and they will have travelled 260 miles.

Step-by-step explanation:

In order to calculate the number of hours, "x", that it'll take for Bella to pass Aljan, we need to find the value of "x" that makes both equations equal. Therefore,

[tex]60*x + 20 = 65*x\\65*x - 60*x = 20\\5*x = 20\\x = \frac{20}{5} = 4[/tex]

In order to calculate the distance they traveled, we must use this value for "x" in any of the equations, as done below:

[tex]y = 65*4\\y = 260[/tex]

Bella will pass Ajjan after 4h and they will have travelled 260 miles.

Answer:

Bella will pass Ajjan after 4h and they will have travelled 260 miles.

Step-by-step explanation:

Answer:

y = -70

Step-by-step explanation:

    212 - y = 282

212 - 282 = y

         -70 = y

            y = -70

Answer:

It's the first one.

Step-by-step explanation:

The first one cannot be folded into a square because of its shape. This question is more of an IQ question so it's not really something you can teach to someone else, but I hope this helps and that you will get it!

Answer: They are all of the above.

Step-by-step explanation: A integer is a whole number, a whole number is a integer and a natural number is a whole number. The definition of a whole number is a number with no fractions, the definition of a integer is a number with no fractions, and the definition of a natural number is a positive number.

Answer:

idk

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

Answer: D (-/ 13 - -/11) those are supposed to be square root signs lol^^

Step-by-step explanation:

Answer:

[tex]\frac{23}{30}[/tex]

Step-by-step explanation:

let the denominator of the original fraction be x, then

[tex]\frac{x-7}{x}[/tex] ← is the original fraction

After the given changes, that is

[tex]\frac{3(x-7)}{x+16}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

6(x - 7) = 3(x + 16) ← distribute parenthesis on both sides

6x - 42 = 3x + 48 ( subtract 3x from both sides )

3x - 42 = 48 ( add 42 to both sides )

3x = 90 ( divide both sides by 3 )

x = 30

Thus

[tex]\frac{30-7}{30}[/tex] = [tex]\frac{23}{30}[/tex] ← the original rational number

Answer & Step-by-step explanation:

y = 2x - 3

-x - 8y = 7

Since, we have a equation for y, then we can substitute this equation for y to solve for x.

-x - 8(2x -3) = 7

-x - 16x + 24 = 7

-17x + 24 = 7

-17x = -17

x = 1

So, since we know that x is equal to 1, then we can plug in this number for the equation of y to find y.

y = 2(1) - 3

y = 2 - 3

y = -1

So, the solution is (1, -1). X equals 1 and y equals -1.

Hey!!!!

Here's your answer:

Solution:

A={2,3,4,5}

B={5,6,7,8}

A U B={2,3,4,5} U {5,6,7,8}

={2,3,4,5,6,7,8}

In case of Union,we have to list all the elements which are present in both sets.

Hope it helps...

Good luck on your assignment

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

-18y = (-1) * 3 * 3 * 2 * y

-27 = (-1) * 3 * 3 * 3

Common factors = (-1) * 3 * 3 = - 9

-18y - 27 = -9*2y - 9 * 3

             =(-9) [2y + 3]

Answer:

a) 60%

b) 55%

Step-by-step explanation:

a) Count the shaded boxes: 6

Count the total: 10

6 / 10 = 60%

b) Count the shaded boxes: 11

Count the total: 20

11 / 20 = 55%

Answer:

Hey!

a) 60%

b) 55%

Step-by-step explanation:

how do you get a??

we have to c ount the shaded boxes: 6 boxes

6 divided by 10 = 0.6 (multiply by 100 to get 60%)

Now...

We have to count the shaded boxes: 11 boxes in total

Count the total available boxes: 20

11 divided by20 = 0.55 (multiply by 100 to get 55%)

HOPE THIS HELPS!!

Answer: The total price of the groceries, including discount and tips $110.4

Step-by-step explanation:

Answer:

x ≤ 40

Step-by-step explanation:

Given

[tex]\frac{x}{-8}[/tex] ≥ - 5

Multiply both sides by - 8 to clear the fraction, reversing the symbol as a result of multiplying by a negative quantity.

x ≤ 40

Answer:

Step-by-step explanation:

8hz