A student ran a distance of 3 and 1 over 2 miles each day for 5 days. Then the student ran a distance of 4 and 1 over 4 miles each day for the next 5 days.

What was the total distance in miles the student ran during these 10 days?

23 mi
38 and 3 over 4 mi
42 and 1 over 2 mi
35 mi

Answer:

○ [tex]\displaystyle 25[/tex]

Step-by-step explanation:

[tex]\displaystyle 4 = 2\sqrt{25} - 6 \\ 4 = 2[5] - 6 \\ \\ 4 = 10 - 6[/tex]

I am joyous to assist you at any time.

Answer:

3/4k^5+-1/2k^3

Step-by-step explanation:

You put the numbers in order from the largest exponent to the smallest.

The volume of cast iron pipe is 1053.19 in³.

The volume of a cylinder can be calculated by: [tex]\pi *r^2*h[/tex], where:

r = radius

h= height

In this question, the cylinder is represented for a pipe, where:

r = inner diameter= [tex]inner\;diameter=outer\;diameter-2*thickness[/tex]

h= length of pipe

From this, you should apply the volume of the pipe. See the steps:

         inner diameter=outer diameter-2*thickness

         inner diameter=8-2*0.6

         inner diameter=8-1.2=6.8 in              

                  [tex]V_{pipe}=\pi *r_{internal}^2*h\\ \\ V_{pipe}=\pi *(\frac{6.8}{2} )^2*29\\ \\ V_{pipe}=\pi *(3.4)^2*29=1053.19\;in^3[/tex]

The volume of cast iron pipe is 1053.19 in³.

Read more about the volume of pipe here:

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Answer:

[tex]x^{2} < 1[/tex]

Step-by-step explanation:

Answer:

3x²-3x+2

Step-by-step explanation:

To find A-B:

Substitute A and B with given values:

x²-(-2x²+3x-2)

Epand the bracket since there is a -1 in front of the bracket (the 1 is invisible)

x²+2x²-3x+2

Simplify:

3x²-3x+2

Answer: No, this is false

Step-by-step explanation:

    Difference of [tex]\frac{1}{5}[/tex] and [tex]\frac{1}{10}[/tex],

[tex]\frac{1}{5}[/tex] - [tex]\frac{1}{10}[/tex] = [tex]\frac{2}{10}[/tex] -  [tex]\frac{1}{10}[/tex]  =  [tex]\frac{1}{10}[/tex]

   [tex]\frac{1}{2}[/tex] is equal to [tex]\frac{5}{10}[/tex]. Since 1 is closer to 0 than it is to 5, the answer is no, this is false.

Answer:

Step-by-step explanation:

x + 44x = 180

45x = 180

x = 4

180-x = 176

answer is 4

The equation of parabola it becomes will be x²= 4py.The y-axis passes through (0, -a), and the directrix of the parabola x² = 4ay has the equation y + a = 0

A parabola is a curve in which all points are at the same distance from two fixed points: the focus and a fixed straight line (the directrix ).

The given expression in the problem is;

[tex]x^2 +y^2-2py +p^2= y^2+2py+p^2[/tex]

On simplifying the gIven expression we get;

[tex]x^2- 2py = 2py \\\\ x^2= 2py+2py \\\\x^2=4py[/tex]

The y-axis passes through (0, -a), and the directrix of the parabola x²= 4ay has the equation y + a = 0. The y-axis passes through (0, a), and the center of the parabola x2 = -4ay has the equation y - a = 0.

Hence the equation of parabola it becomes will be x²= 4py

To learn more about the parabola refer to the link;

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Answer:

60

Step-by-step explanation:

D

Answer:

a line of symmetry is a line divide an object in to two equal parts. answer is A

Answer:

[tex] \frac{2x - 2}{3} - \frac{3x - 6}{4} = 1 \\ \frac{8x - 8 - 9x + 18}{12} = 1 \\ - x + 10 = 12 \\ - x = 12 - 10 \\ x = - 2[/tex]

Answer:

2

Step-by-step explanation:

The image has all the steps. Remember PEMDAS

Answer:

6) 1 over 12

7) 10 over 12

8)9 over 12

6.

[tex]\tt \dfrac{1}{6}\times \dfrac{2}{2}=\dfrac{2}{12}[/tex]

7.

[tex]\tt \dfrac{5}{6}\times \dfrac{2}{2}=\dfrac{10}{12}[/tex]

8.

[tex]\tt \dfrac{3}{4}\times \dfrac{3}{3}=\dfrac{9}{12}[/tex]

Answer:

C

Step-by-step explanation:

< open circle, not ≤

Answer:

x+5

Step-by-step explanation:

Hope this helps

Hi! I hope you're enjoying your day!

The linear relationship between x and y is

y=x+5

So we take a number x, add 5 to it, and that is equal to y.

Let's try and see if it works.

Let's take 2.

Add 5:

y=5+2

That should be equal to 7.

y=7

Yeah! It worked :)

Let's try another one.

Let's take 3.

y=3+5

y=8

Woo-hoo! It worked again :)

Hence, the answer is

[tex]\boxed{\boxed{\bold{Option~B~-y=x+5}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

[tex]\rule{250}{2}[/tex]

Answer:

1. factored form is - 5/2, 3, 2 solutions 2. - 1/2 , -5 2 solutions 3. -2, 3 2 solutions 4. -2 , 5, 2 solutions

Step-by-step explanation:

Question 1:

  [tex]2x^{2} -x-15=0\\(2x+5)(x-3)=0[/tex]

   Solutions are x = -5/2 and 3

Question 2:

  [tex]2x^2+11x =-5\\2x^2 + 11x +5 = 0\\(2x+1)(x+5)= 0[/tex]

   Solutions are x = -1/2 and x =-5

Question 3:

 [tex]x^2-x-6=0\\(x-3)(x+2)=0[/tex]

  Solutions are x = 3 and -2

Question 4

  [tex]x^{2} -3x-10 = 0\\(x-5)(x+2)=0[/tex]

  Solutions are x = 5 and x = -2

The percentage of actual yield is 60.66%.

The percentage of a number is the hundredth part of that number.

Given that the total yield is 872.7 grams and the actual yield is 529.4 grams.

The percentage is calculated by the formula given below.

[tex]Percentage\; of\; Yield = \dfrac {Actual \;Yield }{ Total\; Yield}\times 100[/tex]

Substituting the values, we get the percentage,

[tex]Yield \;\% = \dfrac {529.4}{872.7}\times 100[/tex]

[tex]Yeils\;\%=60.66\;\%[/tex]

Hence we can conclude that the percentage of actual yield is 60.66%.

To know more about the percentage, follow the link given below.

https://brainly.com/question/8011401.

Answer:

about 5

Step-by-step explanation:

One 12 fl oz bottle of 7.7% beer ≈ 1.5 standard drinks

1.5 fl oz vodka ≈ 1 standard drink

Therefore,

Two 12 fl oz bottle of 7.7% beer ≈ 3 standard drinks

3 fl oz vodka ≈ 2 standard drinks

So, 2 bottles of beer and 3 fl oz of vodka ≈ 3 + 2 = 5

Answer:

To answer this, we would first have to divide 576 by 6. Next, take that answer and put it in the next division problem including the number 254. Whatever the answer is that is you final answer

Step-by-step explanation:

Sorry I couldn't tell you the answer. My sisters woke me up at 1 in the morning, so I didn't get much sleep. Please forgive me if the answer you come up with is wrong. If it is, please report my answer. If it is right, please mark me as brainliest because I really want to level up

Expression consists of numbers, variables, and mathematical operations. The expression f(w)=5(w+4) is equal to f(9)=5(9)+20.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression is given to you is,

[tex]f(w)= 5(w+4)[/tex]

Now, if we solve the expression it can be written as,

[tex]f(w)=5w+20[/tex]

substituting the value of w, we will get,

[tex]f(9)=5(9)+20[/tex]

Hence, the expression f(w)=5(w+4) is equal to f(9)=5(9)+20.

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

c

Step-by-step explanation:

I got it right.

Question wasn't clear, but I hope this helps!

Lemon Squash                  If you put 90ml of concentrate in a glass, how

2 parts concentrate          water should be added?

to 5 parts water                 x  ml.

Ratio:  2:5 or 2/5

Now, if this ratio is maintained then the amount of water to be added to 90 ml concentrate in a glass can be calculated as:

2/5 = 90/x ( x = the unit (ml)/ how many ml of water)

Cross multiplication of the above equation will give us:

2x = 90 x 5 = 450

Dividing both sides by 2 we will get:

x = 450/2 = 225

Therefore, if we put 90ml of concentrate in a glass, the amont of water to be added is 225ml.

I hope this answer helps!

Yours Faithfully,

Damian. / Bright_SCR.

Answer:

11

Step-by-step explanation:

[tex]\frac{1}{8}[/tex] of 88

= [tex]\frac{88}{8}[/tex]

= 11

Using proportions, it is found that the sales tax is of 8%.

A proportion is a fraction of a total amount.

In this problem, he buys a shirt for $32.00, then the second at 35% off, hence the price of the second shirt is:

P = (1 - 0.35) x 200 = 0.65 x 20 = $13.

The total price of the shirts is:

T = $32.00 + $13.00 = $45.00.

Hence, he pays $3.60 in taxes, and the sales tax is given by:

Tax = (3.6/45) x 100% = 8%.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

Hope this helps you........