A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?

Answer:

  y-intercept: (0, 5/2)

  x-intercept: (5/3, 0)

Step-by-step explanation:

The y-intercept is found by setting x=0 and dividing by the coefficient of y.

  0 +2y = 5

  y = 5/2

The x-intercept is found by setting y=0 and dividing by the coefficient of x.

  3x +0 = 5

  x = 5/3

The intercepts are ...

  y-intercept: (0, 5/2)

  x-intercept: (5/3, 0)

Answer:

6 cm^2

Step-by-step explanation:

The area of the trapezoid is given by the formula ...

A = 1/2(b1 +b2)h

A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters

Answer:

2.45, 2.46, 2.47, 2.48, 2.49, 2.52, 2.52, 2.53 and 2.54 all round to 2.5 when being rounded to the nearest tenth.

Tenth = 0.1.

Hope that helps. x

Answer:

  (x, y) = (2, -5)

Step-by-step explanation:

The coefficient of y in the second equation is an integer multiple of the coefficient in the first equation, so it is convenient to eliminate y. Subtracting 3 times the first equation from the second, we have ...

  (-2x +3y) -3(-7x +y) = (-19) -3(-19)

  -2x +3y +21x -3y = -19 +57 . . . . . . . eliminate parentheses

  19x = 38 . . . . . . . . . simplify

  x = 2 . . . . . . . divide by 19

  -7(2) +y = -19 . . . . . substitute for x in the first equation

  y = -5 . . . . . . add 14

The solution is (x, y) = (2, -5).

The answer is X>-2. I uploaded a picture of the steps below. Hope this helps. :)

Answer:

The answer is

→ 533.333333333 or 533.33 (Rounded up to the hundredths)

Step-by-step explanation:

Given: How many 3/4 can fit in 400.

Step 1: Indentify what 3/4 equals.

3/4 = 0.75

Step 2: Divide 400 by 0.75

400 / 0.75 = 533.333333333

Step 3: Round up to the hundredths.

533.333333333 → 533.33

Hence, 533.333333333 or 533.33 is your answer.

[tex]a\div 3 +11 = -5\\\\\implies a\div 3 = -5 -11\\\\\implies a \cdot \dfrac 13 =-16\\\\\implies a = -16 \cdot 3\\\\\implies a = -48[/tex]

Answer:-5 it's already given you the answer its only asking how you got it it's simply asking for the work

Step-by-step explanation: First off you're solving for A, (-5 x 14) which is -70 so now all you need is to do the work for (-70 by 14) and there you have it (probably)

Answer:

4096

Step-by-step explanation:

Explanation:

The rule we use is (a^b)^c = a^(b*c). It says to multiply the exponents when we raise one exponential expression to another exponent. The base stays the same.

So, (2^4)^3 = 2^(4*3) = 2^12

You could take the slightly longer path to say the following

(2^4)^3 = (2^4)*(2^4)*(2^4) = 2^(4+4+4) = 2^12

[tex]f(x) = -4x +3\\\\f(-3) = -4(-3) +3 = 12 +3 = 15[/tex]

Answer:

y=-2/3

x=-20/3

Answer:

14

Step-by-step explanation:

Answer:

16 + 2 = 14 + 4

? = 14

Step-by-step explanation:

The relationship between the number of pentagons and the perimeter will be

[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]

From the diagram in the question, each side of a pentagon has length [tex]3units[/tex].

Also, each time another pentagon is attached, a side is removed.

Using these observations, we can create a relationship between the number of pentagons, [tex]x[/tex], and the perimeter, [tex]y[/tex], as follows

For [tex]x=\text{number of sides}=1[/tex]

[tex]y=\text{perimeter}=3\times 5=15units[/tex]

For [tex]x=2[/tex]

[tex]y=3\times5+3\times5-1\\=15+15-1\\=29units[/tex]

For [tex]x=3[/tex]

[tex]y=3\times5+3\times5-1+3\times5-1\\=3\times5+3\times5+3\times5-1-1\\=15+15+15-2=43units[/tex]

The relationship will be

[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]

Learn more about perimeter here: https://brainly.com/question/17756657

The number of quarts of shampoo does Elena need to order, When she wants to order for the year, is 64.8.

Unknown variables are used to find the unknown values of the problem using the algebraic expressions.

To find the values of unknown quantity, the statements of a problem is converted in the algebraic equation form using the variable in place of unknown numbers.

Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. Let suppose that she needs to order n quarts of shampoo in a year.

As it is known that there are total 12 months in a year and Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. Thus, the number of quarts of shampoo does she need to order is,

[tex]n=5.4\times12\\n=64.8\\[/tex]

Thus, the number of quarts of shampoo does Elena need to order, When she wants to order for the year, is 64.8.

Learn more about the unknown variable here;

https://brainly.com/question/1235185

#SPJ2

Answer:

0.1 Inch

Step-by-step explanation:

If the image is 0.1 inch, and it is magnified by 10, 0.1 times 10 will give you the new size of the image after it is magnified. You can undo it by dividing 10 since you would multiply it to magnify it.

Answer:

 7x^2 + 4x + 5

Step-by-step explanation:

hope that work

What we know:

Korena is paid $40 every five times she does the job

What we need to figure out:

How many times does she have to do it to earn $100

Math:

First I'm going to figure out how much she makes each time she weeds

Money earned ÷ Amount of times

40 ÷ 5

= 8

In order to determine the rest of the time we are going to multiply everything we know by 2

Korena is paid $80 if she does it 10 times

We clearly aren't going to do that again because that will surpass the amount so now we are going to use the unit rate we figured out;

($8 per time)

Korena is paid $88 if she does it 11 times

Korena is paid $96 if she does it 12 times

Korena is paid $104 if she does it 13 times

Statement

Therefore if Korena weeds the garden 13 times she will make $104 surpassing the $100 needed.

Answer:

let the weight of all the eggs be x g

therefore..

3x = 120

[tex] \\ x = \frac{120}{3} \\ x = 40g[/tex]

hope helpful~

Set up an equation:

4x + 8y = 200

200/4 = 50

200/8 = 25

They callus sell 50 student tickets and 0 adult tickets

They could sell 0 student tickets and 25 adult tickets.

They could sell 10 student tickets and 20 adult tickets

They could sell 10 adult tickets and 30 student tickets

Answer:

270 or 34.5

Step-by-step explanation:

1. (6.9)= 54

54x5= 270

2. 6.9x5= 24.5

Hopes This Helps :)

Answer:

8b is 1.5*10^4=1.5*10000=15000

9. is 100*1.1=110meters to 100 yards

Hope This Helps!!!

Answer:

91

Step-by-step explanation:

Using the normal distribution and the central limit theorem, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The mean and the standard error are given by:

[tex]\mu = p = 0.62[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141[/tex]

The probability of a sample proportion of 0.59 or less is the p-value of Z when X = 0.59, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.59 - 0.62}{0.0141}[/tex]

[tex]Z = -2.13[/tex]

[tex]Z = -2.13[/tex] has a p-value of 0.0166.

0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

You can learn more about the normal distribution and the central limit theorem at https://brainly.com/question/24663213

Answer:

B. 24 ft.

Step-by-step explanation:

25 would be the hypotenuse of a triangle and 7 is a leg, so

7^2 + x^2 = 25^2

49 + x^2 = 625

x^2 = 576

x = 24 ft

Answer:

The answer is B I took the test but used the person above me and it was right.

Step-by-step explanation:

Since "p" represents the number of pounds of peanuts and:  

4.05p + 14.40 = 4.50(p + 3) [then by distributing we have:

4.05p + 14.40 = 4.50p + 13.5 [then by subtracting 13.5 from both sides we have:

4.05p + 0.9 = 4.50p [then by subtracting 4.05p from both sides we have:

0.9 = 0.45p [then by dividing both sides by 0.45 we have:

2 = p

So there are 2 pounds of peanuts needed for the trail mix.

Answer : i believe 100 X is 13 Z is 12

Step-by-step explanation:

sorry if im wrong

Answer:

2/3

Step-by-step explanation:

I hope it's the answer. if it isn't tell me so that I can try it again bye.

Answer:

y=3x +4

Step-by-step explanation:

your y intercept is 4, go 3 down 1 across and that is the slope.

Answer:

x = 15

Step-by-step explanation:

(4x - 30) and (2x) are alternate angles and are congruent , then

4x - 30 = 2x ( subtract 2x from both sides )

2x - 30 = 0 ( add 30 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

Answer:

810 cm squared

Step-by-step explanation:

30 = height

multiply 30 by 2 = 60

subtract 60 from 114 = 54

divide 54 by 2 = 27 = width

multiply 27 x 30 to get 810 cm squared

Answer:

k = -3/4

Step-by-step explanation:

The lines will be parallel if their slopes are equal.  To find the slope of each line, write its equation in slope-intercept form (y = mx + b).  In other words, solve each equation for y and look at the coefficient of x.

2x + 3y = 4k

3y = -2x + 4k

y = (-2/3)x + 4k/3

The slope of the first line is -2/3.

x - 2ky = 7

-2ky = -x + 7

y = [1/(2k)]x - 7/(2k)

The slope of the second line is 1/(2k).

If the slopes are equal, then

1/(2k) = -2/3

Multiply by 2k.

1 = (-2/3)(2k) = (-4/3)k

1 = (-4/3)k

k = -3/4