[tex]7b-3[/tex]
Which phrase describes the expression?
a. the difference of 7 plus and number b and 3
b. 7 times the difference of a number b and 3
c. 3 subtracted from the product of 7 and a number b
d. the product of 3 subtracted from 7 and a number b

Answer:

51 and 64

Step-by-step explanation:

The Empirical Rule states that 68% of normally distributed data lies within one standard deviation of the mean.

Hence, if the mean is 57.5, one standard dev. above that is 57.5+6.5, or 64, and one standard dev. below the mean is 57.5-6.5 = 51.

Thus,

we can conclude that 68% of the students received scores between 51 and 64.

Final answer:

Approximately 68% of the eighth-grade students received scores between 51 and 64.

Explanation:

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. So, in this case, 68% of the eighth-grade students received scores between the mean of 57.5 minus one standard deviation of 6.5 and the mean plus one standard deviation.

Calculating the range:

Therefore, we can conclude that approximately 68% of the students received scores between 51 and 64.

[tex]You're \ asking: 90/100 \ divided \ by \ 15.\\\\Let's \ do \ this \ together \ in \ steps!\\\\Divide.\\9/10 \ divided \ by \ 15.\\\\Make \ a \ fraction.\\\\9/10 \ x \ 1/15\\\\Simplify.\\\\9x1/10x15\\\\Simplify.\\\\9/150\\\\Simplify.\\\\\fbox{3/50}\\\\\bold{Thanks \  for \ using  \ Brainly!}[/tex]

Answer:

The answer is (1, -8)

Step-by-step explanation:

The vertex of a parabola is the lowest or highest point on the parabola.

In this graph, the vertex would be the lowest point.

Visually, you can see that the lowest point on this graph is at the point (1, -8).

Step-by-step explanation: First, let's graph this down.

With all the points touching except (-2, -6) and (8, 18), it's safe to say that these are the coordinates that have to be removed. Also, just for an extra help, the linear line is 2x + 1 = y

The data points that need to be removed from this table for it to represent a linear function are  (-2, -6) and (8, 18).

Function is a type of relation, or rule, that maps one input to specific single output.

WE have been given the points that need to be removed from this table for it to represent a linear function.

With all the points touching except (-2, -6) and (8, 18), we can say that these are the coordinates that have to be removed.

Also, for an extra information, the linear line is 2x + 1 = y

Therefore, the data points that need to be removed from this table for it to represent a linear function are  (-2, -6) and (8, 18).

The points are attached below on the graph.

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You should find that each side is 5 units long, so you have a rhombus. Also, each angle is 90 degrees so you have a rectangle. Combine the properties of a rhombus and a rectangle and you get a square as the best description.

Answer:

You are correct

Step-by-step explanation:

If you put the coordinates into a graph, you come out with a square that is slightly rotated.

Answer:

c: 1,335 yd³

Step-by-step explanation:

The formula for volume of a cylinder is V = πr²h  where r is the radius of the base circle, and h is the height of the cylinder

We are given r = 5, and h = 17.  Plug them in and solve for V...

V = π(5²)(17)

    V = π(25)(17)

          V = 425π

              V = 425(3.14) = 1,334.5 yd³,

so 1,335 yd³ rounded to the nearest cubic yard

Answer:

[tex]\large\boxed{(1,\ -2)}[/tex]

Step-by-step explanation:

[tex]|a|=a\ \text{for}\ a\geq0\\\\|a|=-a\ \text{for}\ a<0\\\\\text{Examples}\\\\|3|=3,\ |1.6|=1.6\\|-3|=-(-3)=3,\ |-1.6|=1.6\\===================[/tex]

[tex]y<-|x|\\\\\text{Put the values of x and y from the coordinates of the points and check inequality}\\\\(1,\ -2)\to x=1,\ y=-2\\-2<-|1|=-1\qquad\text{CORRECT :)}\\\\(1,\ -1)\to x=1,\ y=-1\\-1<-|1|=-1\qquad\text{FALSE :(}\\\\(1,\ 0)\to x=1,\ y=0\\0<-|1|=-1\qquad\text{FALSE :(}[/tex]

Answer:

see explanation

Step-by-step explanation:

Given

x² + 17x - 60 = 0

To factor the quadratic

Consider the factors of the constant term (- 60) which sum to give the coefficient of the x- term (+ 17)

The factors are + 20 and - 3, since

product = + 20 × - 3 = - 60 and sum = + 20 - 3 = + 17, thus

x² + 17x - 60 = (x + 20)(x - 3) = 0

Equate each factor to zero and solve for x

x + 20 = 0 ⇒ x = - 20

x - 3 = 0 ⇒ x = 3

Answer:

48/1369

Step-by-step explanation:

We have 37 marbles all together. If we pick one red marble, the chances of that are 6/37. If we replace it and pick a blue one, the chances of that are 8/37. Once we have these numbers, we multiply 6/37 x 8/37 and you will get 48/1369

Answer:

685 254

Step-by-step explanation:

The value of a digit increases by a factor of 10 each time you move it one place to the left.

Thus, if you move a digit two places to the left, you increase its value by a factor of 10 × 10 = 100.

Move the 5 from the tens place to the thousands place, and you increase its value from 50 to 5000 (a factor of 100).

Answer:  [tex]\bold{\dfrac{3\pi}{2}}[/tex]

Step-by-step explanation:

Coterminal means it is in the same place on the Unit Circle but one or more rotations clockwise or counterclockwise.

Note: one rotation is 2π (which is equivalent to [tex]\frac{4\pi}{2}[/tex])

[tex]-\dfrac{13\pi}{2}+\dfrac{4\pi}{2}=-\dfrac{9\pi}{2}\\\\.\qquad\qquad\quad=-\dfrac{9\pi}{2}+\dfrac{4\pi}{2}=-\dfrac{5\pi}{2}\\\\.\qquad\qquad\qquad\qquad\qquad\quad=-\dfrac{5\pi}{2}+\dfrac{4\pi}{2}=-\dfrac{\pi}{2}\\\\.\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad=-\dfrac{\pi}{2}+\dfrac{4\pi}{2}=\dfrac{3\pi}{2}\\\\\\\dfrac{3\pi}{2}\text{ is between 0 and }2\pi\text{ so this is the angle we are looking for!}[/tex]

you need to actually add the diagram you know, save it as an image (or take a photo) and put it on here

Answer:

m = 17

Step-by-step explanation:

14m - 13m =17

Combine like terms

m(14-13) = 17

m = 17

Answer:

m=17

Step-by-step explanation:

Answer:

All together the expression is 6n2 + 6m + 2n.

The number of terms is 3.

A coefficient is 6, 6 or 2.

A factor is 2(3n2+3m + n)

Step-by-step explanation:

Simplify the expression by combining like terms. Like terms are terms which have the same base.

-3n -2m + 5n + 8m + 6n2

These are the like terms:

-3n + 5n = 2n

-2m + 8m =6m

6n2

All together the expression is 6n2 + 6m + 2n.

The number of terms is 3.

A coefficient is 6, 6 or 2.

A factor is 2(3n2+3m + n)

Answer:

y=17,x=15

Step-by-step explanation:

180-112=68

68/4=y=17

180-68=112

112-7=105

105/7=x=15

The mechanical energy will be 100 Joules

Mechanical energy is the sum of kinetic and potential energy in an object that is used to do work. In other words, it is energy in an object due to its motion or position, or both.

So

Mechanical energy = 60J + 40J

Mechanical energy = 100 Joules

Answer:

The correct answer option is C. 100 Joules.

Step-by-step explanation:

We are given that Greta jumps up 2 feet into the air. Her potential energy is 60 Joules while her kinetic energy is 40 Joules.

We are to calculate her total mechanical energy which will be the sum of her potential energy and her kinetic energy.

So we simply need to add the two given values of the energies.

Total mechanical energy = 60 + 40 = 100 Joules

Answer:

a1 = 10

an = an-1 * -2

I believe your answer is C). because 5% of 60,000 is 3,000, then 3,000 x 15 = 45,000.

Answer: [tex]40cm^2[/tex]

Step-by-step explanation:

A cross-section is the shape that results of the intersection of a plane with an abject.

When the cone is sliced by a plane perpendicular to the base and passes through the vertex, the cross-section obtained is a triangle.

The area of the triangle can be calculated with the formula:

[tex]A=\frac{b*h}{2}[/tex]

Where the base of the triangle is b and its height is h.

The base of the triangle is the diameter of the cone. Knowing the radius, the diameter is:

[tex]diameter=2*radius\\diameter=2*4cm\\diameter=8cm[/tex]

Then:

[tex]b=8cm[/tex]

The height ot this triangle is the height of the cone:

[tex]h=10cm[/tex]

So, by substituting into the formula you get the area of the cross-section in square centimeters:

[tex]A=\frac{(8cm)(10cm)}{2})=40cm^2[/tex]

Answer:

B is correct

Step-by-step explanation:

-(-x) = x, because a double negative like this equals a positive.

Therefore, you are actually saying -x+x= 0 which is true.

Equation B. is true for all values of x.

Answer:

6

Step-by-step explanation:

f (x)=x^2and g(x)=x+6  (I will assume you meant x not c)

The first step if to find f(0)

f(0) = 0^2 = 0

Now we find g(f(0))= g(0)

g(0) = 0+6  = 6

g(f(0) =6

If you meant c

Then g(f(0) = c+6

Answer:

#1) 108.375 cubic inches

Step-by-step explanation:

For a pan of dimensions 8.5 in x 8.5 in, with height 2.25 in:

If cornbread fills to .75 in from the top, the height of cornbread is 2.25-.75 = 1.5 in

Volume = length*width*height (for rectangular prisms)

So Volume of corn bread = 1.5*8.5^2 = 108.375 cubic inches

For the second part, it is a poorly worded question. Squares are two dimensional, so it realistically cannot be cut into squares. If the question means cubes, the answer is yes to a certain extent. Since the height is exactly 1.5 in, and the pan is 8.5 in x 8.5 in, Marita can cut the cornbread into squares, but she cannot cut all of it into squares since 8.5/1.5 is not a whole number.

Answer:

311 students

Step-by-step explanation:

Let s represent the number who prefer sushi

Let p represent the number who prefer pizza

Five times the number who prefer sushi = 5s

27 fewer than (5s) = 5s - 27

P = 5s - 27

1,528 = 5s - 27

1,555 = 5s (add 27 to both sides)

311 = s (divide both sides by 5)

311 students prefer sushi to pizza.

Given that Lake Snider High School surveyed its student population about if they prefer pizza or sushi, and the students who prefer pizza represent twenty-seven fewer students than five times the number of students who prefer sushi, if 1,528 students prefer pizza, to determine how many students prefer sushi the following calculation must be performed:

Therefore, 311 students prefer sushi to pizza.

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Answer:

B. 1395 square units.

Step-by-step explanation:

We have been given an octagon. We are asked to find the area of the given regular octagon.

[tex]\text{Area of octagon}=\frac{a\cdot p}{2}[/tex], where,

a = Apothem,

p = Perimeter.

Let us find apothem of octagon by multiplying 17 by 8.

[tex]\text{Perimeter}=8\times 17[/tex]

[tex]\text{Perimeter}=136[/tex]

Upon substituting our given values in area formula, we will get:

[tex]\text{Area of octagon}=\frac{20.52\times 136}{2}[/tex]

[tex]\text{Area of octagon}=\frac{2790.72}{2}[/tex]

[tex]\text{Area of octagon}=1395.36\approx 1395[/tex]

Therefore, the area of our given octagon is 1395 square units.

5/6 × 3/4

=5/2 × 1/4

=5/8

Answer

5/8 students buy orange juice

To find the fraction of students who buy orange juice, we first find the fraction of students who buy juice and then multiply it by the fraction that buy orange juice.

To find the fraction of students who buy orange juice, we first need to determine the fraction of students who buy juice. Since 5/6 of students buy juice, this means that 5/6 of the total number of students buy juice.

Next, we need to determine the fraction of students who buy orange juice out of those who buy juice. Since 3/4 of the students who buy juice buy orange juice, this means that 3/4 * 5/6 of the total number of students buy orange juice.

To find the final fraction, we multiply the two fractions:

3/4 * 5/6 = (3 * 5) / (4 * 6) = 15 / 24 = 5/8

Therefore, the fraction of students who buy orange juice is 5/8.

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Answer:

x = -1

Step-by-step explanation:

You can write the equation of the line by finding the slope between the points and substitute it with a point into the point slope form.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{6--5}{-1--1} =\frac{11}{0} = und[/tex]

These points have a slope which is undefined. This means it is a vertical line that crosses through the x-axis at the x-coordinate of both points -1. The equation is x = -1.

Answer:

A

Step-by-step explanation:

From the graph, we can see that the temperature increased initially, then started to decrease. All of these NOT in a constant rate, though.

Roughly, the temperature was increasing from start till around 5.5 hours. Then on the temperature decreased.

So we can eliminate B, C, and D. That leaves us with correct answer as A.

Answer:

The volume of the figure is [tex]\frac{l^{3}}{3}[\frac{1}{2}\pi-1]\ units^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of the cone minus the volume of the square pyramid

step 1

Find the volume of the cone

The volume of the cone is equal to

[tex]V=\frac{1}{3}\pi r^{2} h[/tex]

we have

[tex]r=l\frac{\sqrt{2}}{2}\ units[/tex]

[tex]h=l\ units[/tex]

substitute

[tex]V=\frac{1}{3}\pi (l\frac{\sqrt{2}}{2})^{2}l[/tex]

[tex]V=\frac{1}{3}\pi (\frac{l^{3}}{2} )[/tex]

[tex]V=\frac{1}{6}\pi (l^{3})\ units^{3}[/tex]

step 2

Find the volume of the square pyramid

[tex]V=\frac{1}{3}Bh[/tex]

we have

[tex]B=l^{2}\ units^{2}[/tex]

[tex]h=l\ units[/tex]

substitute

[tex]V=\frac{1}{3}(l^{2})l[/tex]

[tex]V=\frac{1}{3}(l^{3})\ units^{3}[/tex]

step 3

Find the difference

[tex]\frac{1}{6}\pi (l^{3})-\frac{1}{3}(l^{3})=\frac{l^{3}}{3}[\frac{1}{2}\pi-1]\ units^{3}[/tex]

The answer and work is in the attched sheet!

Hope I helped~! :)

The simplified equivalent expression for 6(7-3y)+6(y+1) is -12y+48.

To simplify to create an equivalent expression for 6(7-3y)+6(y+1), we first distribute within the parentheses.

This gives us: 42-18y+6y+6.

Next, we combine like terms (-18y and 6y; 42 and 6) to get -12y+48.

So, the simplified equivalent expression is -12y+48.

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