Mark is playing baseball after school. He wants to find the total distance he will need to ride his bike from school to the park, where his game will be played. Find the distance Mark will ride to the park from school. Leave your answer in
simplest radical form if necessary.

- 6
- square root 13
- 5
- 2 square root 5

Answer:

Infinetly Many Solutions

Step-by-step explanation:

Because the arrows show the the answers are never ending.

Answer:

74

Step-by-step explanation:

72 + 73 + 74 + 75 + 76 = 370

370 divided by 5 = 74

Hope this helps! Leave any questions or concerns in the comments! byeee <3

Answer:

6 runners

Step-by-step explanation:

Complete question

A relay race covers 1 1/2 kilometers, and each runner on a team will run 1/4 of a kilometer.  How many runners are needed for a team?

Given that;

1 runner = 1/4 km

If a relay race covers  1 1/2 km, hence;

x runner = 1 1/2 km

Divide both expressions

1/x = (1/4)÷(1 1/2)

1/x = 1/4 ÷ 3/2

1/x = 1/4 * 2/3

1/x = 2/12

Cross multiply

2x = 12

x = 12/2

x = 6

Hence 6 runners are needed for the race

Answer:

[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}[/tex] = 8

Step-by-step explanation:

The given expression is :

[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}[/tex]

We know that,

[tex]\dfrac{1}{x}=x^{-1}[/tex]

So,

[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}=(\dfrac{1}{2^2})^{\dfrac{-3}{2}}\\\\=(2^{-2})^{\dfrac{-3}{2}}\\\\=(2^{-1})^{-3}\\\\=2^3\\\\=8[/tex]

So, the value of the given expression is 8.

Answer:

$25.00

Step-by-step explanation:

well start of by using the rules of 3.

( always remeber that multiply is diagonal and divide left by one on the left)

Answer:

Step-by-step explanation:

?????????/

Answer:

x = 5

Step-by-step explanation:

using the Pythagorean theorem:

x² = 13² - 12² = 169 - 144 = 25

x = √25 = 5

Answer:

x = 5.

Step-by-step explanation:

For a right triangle, use the Pythagorean Theorem, a² + b² = c², where a and b are the sides, and c is the hypotenuse.

a² + b² = c²

x²+ 12² = 13²

x² + 144 = 169

Subtract 144 from both sides.

x² = 25

x = 5.

Proof:

a² + b² = c²

5² + 12² = 13²

25 + 144 = 169

169 = 169.

Answer:

[tex]Pr = \frac{1}{870}[/tex]

Step-by-step explanation:

Given

[tex]n =30[/tex]

Required

Probability of selecting 2 toys of different types

From the question, we understand that all toys are different i.e. 1 of each type.

And the selection is without replacement;

So, after the first toy is selected; there are n - 1 toys left.

So, the probability is:

[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]

Substitute [tex]n =30[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]

[tex]Pr = \frac{1}{30*29}[/tex]

[tex]Pr = \frac{1}{870}[/tex]

Answer:

It's decreasing to the left and increasing to the right

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

f(x)= -2(x²+8x+16)-5

[tex] -2 {x}^{2} - 16x - 32 - 5 \\ f(x)= - 2 {x}^{2} - 16x - 37[/tex]

eq^2: 7x=84 divide 84 by 7 which is 12.

therefore x is equal to 12. Then

1) take that 12 you got in equation 2 and substitute in equation 1 which is:

7x-12y=180

7(12)-12y=180

84 -12y=180

-12y=180-84

-12y=96 ............divide both sides with -12

-y=8 (×-1) both sides

y= -8

therefore 7(12)-12(-8)=180

Answer:

Step-by-step explanation:

Use the formula of distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

1. Distance between A(3, 4) and B(8, 12),

  AB = [tex]\sqrt{(8-3)^2+(12-4)^2}[/tex]

  AB = [tex]\sqrt{25+64}[/tex]

        = [tex]\sqrt{89}[/tex]

        ≈ 9.43

2. Distance between C(-2, 10) and D(3, -2),

   CD = [tex]\sqrt{(3+2)^2+(-2-10)^2}[/tex]

         = [tex]\sqrt{25+144}[/tex]

         = [tex]\sqrt{169}[/tex]

         = 13.00

3. Distance between X(20, 4) and Y(17, 0),

    XY = [tex]\sqrt{(20-17)^2+(4-0)^2}[/tex]

          = [tex]\sqrt{3^2+4^2}[/tex]

          = [tex]\sqrt{25}[/tex]

          = 5.00

4. Distance between E(2, -1) and M(6, 9),

    EM = [tex]\sqrt{(2-6)^2+(-1-9)^2}[/tex]

          = [tex]\sqrt{16+100}[/tex]

          = [tex]\sqrt{116}[/tex]

          = 10.77

Answer:

24

Step-by-step explanation:

Based on the question given :

Total pounds of cheese = 12

These cheese are sliced into 1/4 pounds and 1/2 pounds packages.

What the question requests is the number of 1/2 pounds fraction we can get from the total 12 pounds of cheese.

This means we aren't cutting out 1/4 pounds fraction from this package as the question didn't specify.

Hence, the number of 1/2 pounds fraction obtainable from 12 pounds of cheese I s:

We divide the 12 pounds cheese by 1/2

This gives :

12 ÷ 1/2 ; 12 / 1/2

÷ change to multiplication ond the reciprocal of the denominator is used

12 * 2 /1 = 24 /1

We Obtain 24 1/2-pound cheese

Answer:

$150.75

Step-by-step explanation:

Find 24% of 228. 54.72

Subtract that. 228 - 54.72 = 173.28

Find 13% of 173.28. 22.53 (Rounded)

Subtract that.

150.75 is the final price.

Answer:

$150.76

Step-by-step explanation:

1. Find 24% of the original value which is 228(.24)= 54.78

2. Subtract 54.78 from 228 to get 173.28

3. Find 13% of new value (173.28) which is 22.52

4. Subtract 22.52 from 173.28 to get you final answer of $150.76

Answer:

x>-2

Step-by-step explanation:

So, lets start by distrubuting the -3 to x:

-3x-4<2

Then lets just start solving. First lets add 4 to both sides to get -3x alone:

-3x<6

Now lets divide -3 from both sides to get x alone:

x<-2

There is one thing we must remember, however.

When dividing a inequality by a negative, the sign is flipped.

So in this case, the < is now >:

x>-2

This basically means a solution is any value greater than -2!

Hope this helps!

Answer:

A≈263.89

Step-by-step explanation:

Solution

A=2πrh+2πr2=2·π·3·11+2·π·32≈263.89378

Answer:

5. h = 12

6. k = 17, m = 12

Step-by-step explanation:

5. The sum of angles on the adjacent side of a diagonal of a parallelogram is 180 degree

[tex]3h + 24 = 4 h + 12\\h = 12[/tex]

6. The  angle is 90 degrees

[tex]5k + 5 = 90\\k = 17\\7m + 6 = 90\\m = 12[/tex]

Answer: 3x=3

Step-by-step explanation: Let's divide this into parts--

1. Adding the x variables: -2x+5x or 5x-2x = 3x.

2. Adding the y variables: y-y or -y+y = 0. (The negative and the positive y cancel each other out.)

3. Adding the numbers: 8-5 or -5+8 = 3.

Now just put it back into an equation: 3x + 0 = 3.

We don't need to add the 0, so the equation changes into 3x = 3.

Answer:

y = -2

Step-by-step explanation:

SOLUTION :-

Solve the equation.

[tex]=> y - 8 + 8 = -10 + 8[/tex]

[tex]=> y = -2[/tex]

∴ y = -2

VERIFICATION :-

To verify the solution of y , just put the solution (y = -2) in place of y in equation and check whether L.H.S = R.H.S.

L.H.S :-

-2 - 8 = -10

R.H.S. :-

-10 (already given)

⇒L.H.S. = R.H.S. (verified)

Answer:

x + 5 = 23

Step-by-step explanation:

Just write it like how you say it.

The algebraic expression for the given phrase is x+5=23.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given phrase is "x plus five is twenty three"

Here, the equation is x+5=23

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Transpose 5 to the RHS of the equation, we get

x=23-5

x=18

Therefore, the x value is 18.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ3

Answer:

64

Step-by-step explanation:

1=3+5+7....S8 and ..... is 64

Answer:

[tex] solution \: set = \{ ... - 2, \: - 1, \: 0, \: 1, \: 2, \: 3\}[/tex]

Step-by-step explanation:

[tex]8x - 3 < 29 \\ \\ 8x < 29 + 3 \\ \\ 8x < 32 \\ \\ x < \frac{32}{8} \\ \\ x < 4 \\ \\ solution \: set = \{ ... - 2, \: - 1, \: 0, \: 1, \: 2, \: 3\}[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

0.50 :)

Step-by-step explanation:

The probability of the union of being either a freshman or junior is 0.50

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes,

n(S) is the total number of events in the sample space.

For given example,

Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.

⇒ P(freshman) = 0.25

⇒ P(sophomores) = 0.25

⇒ P(juniors) = 0.25

⇒ P(seniors) = 0.25

We know for event A and B,

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Assuming event A : student is a freshman

event B : student is junior

P(A) = 0.25

P(B) = 0.25

The number of students who are freshman as well as junior = 0

⇒ n(A ∩ B) = 0

⇒ P(A ∩ B) = 0

Now, the probability of the union of being either a freshman or junior would be,

⇒ P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ P(A ∪ B) = 0.25 + 0.25 - 0

⇒ P(A ∪ B) = 0.50

Therefore, the probability of the union of being either a freshman or junior is 0.50

Learn more about probability here:

brainly.com/question/11234923

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Answer:

[tex]14.1[/tex]

Step-by-step explanation:

Since we have two sides of a triangle and the angle between them, we can use the Law of Cosines.

For any triangle, the Law of Cosines states:

[tex]b^2=a^2+c^2-2ac\cos B[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are all interchangeable.

Substituting given values, we have:

[tex]b^2=9^2+19^2-2(9)(19)\cos 45^{\circ},\\b^2=200.169480834,\\b\approx \boxed{14.1}[/tex]

Answer:

95%

Step-by-step explanation:

Current MEAN = 85 + 88 + 92 + 90/4 = 88.75 %

Lets assume needed score is 92%

Mean with assume needed score: 85 + 88 + 92 + 90 + 92/5 = 89.4%

Lets assume needed score is 93%

Mean with assume needed score: 85 + 88 + 92 + 90 + 93/5 = 89.6%

Lets assume needed score is 94%

Mean with assume needed score: 85 + 88 + 92 + 90 + 94/5 = 89.8%

Lets assume needed score is 95%

Mean with assume needed score: 85 + 88 + 92 + 90 + 95/5 = 90%

Answer:

f

Step-by-step explanation:

because it's less than mine not less nine

============================================================

Explanation:

The length of 17 cm and slanted length of 10 cm are not used at all. They are likely thrown in as a distraction.

Instead, we focus on the horizontal base of 10 cm and the vertical height of 9 cm. The base and height are always perpendicular to one another.

The area of the triangle is therefore...

area = base*height/2

area = 10*9/2

area = 90/2

area = 45 square cm

It doesn't matter that this triangle is obtuse, the same area formula applies to any triangle.

------------

A longer method would have you compute the area of the dashed triangle, and the area of the two combined triangles (the largest overall triangle). Subtracting the two would lead to the answer of 45 cm^2. You'll need the pythagorean theorem to find the base of the dashed triangle, which then helps find the base of the largest triangle overall as well. At this point is when the 17 and 10 come into play, but I find the first method is much easier.

Answer:

C. 50 [tex]cm^2[/tex]

Step-by-step explanation:

area of big triangle - area of small triangle

find missing side lengths with pythagorean theorem:

[tex]9^2 + b^2=10^2\\\\81+b^2=100\\\\b^2= 19\\\\b=\sqrt{19}\\[/tex]

[tex]10^2+b^2=17^2\\\\100+b^2=289\\\\b^2=189\\\\b=\sqrt{189}[/tex]

find area:

1/2(10)([tex]\sqrt{189}[/tex] ) - 1/2([tex]\sqrt{19}[/tex] )(9)

=   49.124

which is closest to 50 [tex]cm^2[/tex]

Answer:

[tex]volume = 10\pi m^3[/tex]

Step-by-step explanation:

Volume of a prism = Base Area x height

Base is a quarter of a circle.

              [tex]Area \ of \ circle = \pi r^2\\\\r = 2m\\\\Area \ of \ quarter \ of \ a \ circle = \frac{1}{4} \pi r^2 = \frac{1}{4}\pi \times 4 = \pi m^2[/tex]

Base Area = π square meters.

Therefore ,

          [tex]Volume = Base Area \times height = \pi \times 10 = 10\pi m^3[/tex]

Answer:

movie A

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Movie A

Step-by-step explanation: