The sporting equipment has been sorted into baseballs and bats. The number of baseballs is four less than three times the number of bats. The equipment is 80% baseballs. Choose the equation that best represents this scenario

Answer:

Andrew's height is [tex]1\frac{5}{8}[/tex] meters

Explanation:

We know that John's height is [tex]1\frac{3}{4}[/tex] meters

We are given that:

John is [tex]\frac{1}{8}[/tex] meters shorter than Paul

This means that:

Paul's height = John's height + [tex]\frac{1}{8}[/tex]

Paul's height = [tex]1\frac{3}{4} + \frac{1}{8} = 1\frac{7}{8}[/tex] meter

We are given that:

Paul is 0.25 meters taller than Andrew

This means that:

Andrew's height = Paul's height - 0.25

Andrew's height = [tex]1\frac{7}{8} - 0.25 = 1\frac{5}{8}[/tex] meters

Hope this helps :)

Answer:

1 5/8 meters....

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

Step 1: Find Alicia's share of the gift. To do this, all you have to do is multiply 120 by 2/5, which is 40%. 120 * 40% (0.4) is 48. Alicia's share is $48.

Step 2: Find Jason's share of the gift. In this case, divide 120 by 3. 120/3 is 40. Jason's share is $40.

Step 3: Express the numbers as a fraction and simplify it. 40/48 is the common fraction. Find the GCF of 40 and 48. When you solve for it, the GCF is 8. Divide both the numerator and the denominator by 8. 40/8 is 5/ 48/8 is 6. There. 5/6 is our simplified fraction, which is the ratio.

Answer:

[tex]\boxed{\text{\$10; \$20}}[/tex]

Step-by-step explanation:

Let t = the price of  a T-shirt

and j = the price of a pair of jeans

You have a system of two equations:

[tex]\begin{cases}(1)& 2t + j = 40\\(2) & 2(0.5t) + 5(0.5j) = 60\end{cases}\\[/tex]

[tex]\begin{array}{lrcll}(3) & t+ 2.5j & = & 60 &\text{Removed parentheses in (2)}\\(4)& 2t + 5j & = & 120 &\text{Multiplied (3) by 2}\\& 4j & = & 80 &\text{Subtracted (4) from (1)}\\(5)& j & = & 20 &\text{Divided each side by 4} \\& 2t + 20& = & 40 & \text{Substituted (5) into (1)} \\&2t & = & 20 & \text{Subtracted 20 from each side}\\& t & = & 20 & \text{Divided each side by 2}\\\end{array}[/tex]

[tex]\text{The price of a T-shirt is \boxed{\textbf{\$10}}}\\\\\text{and the price of a pair of jeans is \boxed{\textbf{\$20}}}\\[/tex]

Check:

[tex]\begin{array}{rclcrcl}2\times10\ + 20 & = & 40 & \qquad &2(0.5\times10) + 5(0.5\times20)&=&60\\20 + 20 & = & 40 & \qquad &2\times5 + 5\times 10& = &60\\40& = & 40 &\qquad &10 + 50 & = & 60\\& & &\qquad &60 & = & 60\\\end{array}[/tex]

OK.

Answer:

B.

Step-by-step explanation:

I plugged it into a graphing calculator which got me this.

Answer:

f(x) = 3x(x-1)(x-3)

Step-by-step explanation:

f(x) = 3x³-12x²+9x = 3x(x²-4x+3) =

= 3x(x²-x-3x+3) = 3x[x(x-1)-3(x-1)] =

= 3x[(x-1)(x-3)] = 3x(x-1)(x-3)

Answer:

3x(x - 1)(x - 3)

Step-by-step explanation:

the sum of the coefficients = 3 - 12 + 9 = 0

hence x = 1 is a root of f(x) and (x - 1) is a factor

dividing 3x³ - 12x² + 9x gives

f(x) = (x - 1)(3x² - 9x)

    = (x - 1)3x(x - 3) = 3x(x - 1)(x - 3) ← in factored form

Answer: 180 ft2

Step-by-step explanation:

The formula for the area of a rectangle is Area = length X width. Since the length is 20 feet and the width is 9 feet , you multiply 20 X 9, which gives you 180 square feet. Hope this helps!

Answer:

C

Explanation:

B=Base Area

In a cylinder, the base area is a circle.

Area Circle=pi r^2

Replace base area with area of circle:

V=pi r^2 H

Answer:

Volume of Cylinder = (pi)(radius^2)(height)

g(x)=-2

Simplfy: y=-2

x=-9

*Look at where the points intersect

Answer:

x=-9

Step-by-step explanation:

Answer:

the 6 greens

Answer:

using the foil

Step-by-step explanation:

you always have to get rid of the x for example if it is +3x you add it on to get rid of it and you carry on until you have solved x.

Answer:

getting the correct answer

Step-by-step explanation:

Answer:

Its 3.5c

Step-by-step explanation:

Let's find the constant of proportionality.

In the proportional relationship between c, the number of cranes, and t, the total time in minutes, one constant of proportionality is the amount of time per crane. It is the number we multiply by the number of cranes to get the total time.

c times ? =t

The constant of proportionality is 3.5 This means we can multiply 3.5 by the number of cranes to get the total time.

Now, let's represent that as an equation.

total time= time per crane X number of cranes

total time

t

​

time per crane×number of cranes

3.5c

​

One correct equation is:

t= 3.5c

Answer:

t = 3.5c

Step-by-step explanation:

This represents a proportional relationship because it is linear (he is folding at a constant rate) and passes through the origin (it would take him 0 minutes to fold 0 cranes). The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

To find k, divide the dependent variable by its corresponding indepent variable. In this example, the amount of minutes is the dependent variable and the amount of cranes is the independent variable.

Using the first row of the table, we get  [tex]k = \frac{17.5}{5} = 3.5[/tex].

Just to confirm our answer, let's try the other values given in the table:

[tex]k = \frac{28}{8} = 3.5\\k = \frac{42}{12} = 3.5[/tex]

So, we get that it takes Terrence 3.5 minutes to make one crane, so t = 3.5c

The reflection that will produce that image would be a reflection across the y-axis

The line segment should be reflected across the y-axis to obtain the desired image with endpoints at (4, -6) and (6, 4).

To find the reflection of the line segment with endpoints (-4,-6) and (-6,4) that will produce an image with endpoints at (4,-6) and (6,4), we can use the formula for reflecting a point in the x-axis or y-axis. The reflection of a point (x, y) in the x-axis is (x, -y) and the reflection of a point (x, y) in the y-axis is (-x, y). Applying these formulas to the given endpoints, we can determine that the reflection in the y-axis will produce the desired image. So, the line segment will be reflected across the y-axis to obtain the image with endpoints at (4, -6) and (6, 4).

https://brainly.com/question/31407571

#SPJ1

Answer:

b = 2 or b = 7

Step-by-step explanation:

b/(b-7) - 2/b = 7/ (b-7)

b * b - 2(b - 7) = 7 * b

b^2 - 2b + 14 = 7b

b^2 - 9b + 14 = 0

(b - 2)(b - 7) = 0

b - 2 = 0; b = 2

b - 7 = 0; b = 7

Answer

b = 2 or b = 7

If the denominator is 0, and the numerator ≠ 0, your answer will undefined.

If the numerator is 0, and the denominator is a number, it will always = 0.

So you can set the denominator equal to 0

x + 2 = 0       Find x, so subtract 2 on both sides

x = -2

For this case we must factor the following expression:

[tex]x ^ 2 + 3x-4 = 0[/tex]

We must find two numbers that when multiplied give as result -4 and when summed give as result +3. These numbers are +4 and -1:

[tex]+ 4-1 = + 3\\4 (-1) = - 4[/tex]

Then, the factorization is given by:

[tex](x + 4) (x-1) = 0[/tex]

Answer:

[tex](x + 4) (x-1) = 0[/tex]

Answer:

A circle.

Step-by-step explanation:

This is it the correct answer to this question.

Hope this helps!!!

Kyle.

Answer:

72

Step-by-step explanation:

He makes 18/30 passes. We need to see how many passes he can make out 120, so we need to see how many times 30 goes into 120.

120/30=4

So 120 is equivalent to 4 30s. Now to find out how many passes he'd make we multiply 18 by 4.

18*4=72

Yes, what do you need help with?

Answer:

Option 4: 0.554

Step-by-step explanation:

As we can see that the intervals and their frequencies are given.

We have to calculate the probability of students' score falling between 70 and 89. It will use the frequency of both intervals 70-79 and 80-89.

So, combined scores of both intervals are:

172+105 = 277

Now to find the probability

= 277/500

=0.554

So option no 4 is the correct answer ..

Answer:

[tex]\dfrac{1}{12}+\dfrac{1}{15}+\dfrac{1}{x}=\dfrac{1}{6}[/tex]

60 hours

Step-by-step explanation:

John - 12 hours

Rick - 15 hours

Molli - x hours

Together - 6 hours

Each of them can paint:

John - [tex]\frac{1}{12}[/tex] of a room per hour

Rick - [tex]\frac{1}{15}[/tex] of a room per hour

Molli - [tex]\frac{1}{x}[/tex] of a room per hour

Together - [tex]\frac{1}{6}[/tex] of a room per hour

So the equation is

[tex]\dfrac{1}{12}+\dfrac{1}{15}+\dfrac{1}{x}=\dfrac{1}{6}[/tex]

Solve this equation:

[tex]\dfrac{1}{x}=\dfrac{1}{6}-\dfrac{1}{12}-\dfrac{1}{15}\\ \\\dfrac{1}{x}=\dfrac{10-5-4}{60}=\dfrac{1}{60}\\ \\x=60[/tex]

Molli can paint the room in 60 hours.

Answer:

3847 ft³

Step-by-step explanation:

The volume of a cylinder of radius r and height h is V = πr²h.

Here, the volume is V = π(7 ft)²(25 ft) = 1225π ft³, or approximately 3847 ft³.

Answer:

The interior volume of the work box is 70 inches³

Step-by-step explanation:

* Lets talk about the volume of the regular solid

- The volume of the solid = area of the base × its height

- If the base of the solid shaped rectangle

∵ The area of the rectangle = Length × width

∴ The volume = Length × width × Height

* Now lets solve the problem

- The work box has three dimensions

# Length = 5 inches

# Width = 3.5 inches

# Height = 4 inches

∴ The work box is shaped a rectangular solid

∴ Its volume = Length × width × height

∵ Length = 5 inches

∵ Width = 3.5 inches

∵ Height = 4 inches

∴ The volume = 5 × 3.5 × 4 = 70 inches³

* The interior volume of the work box is 70 inches³

Answer:

131.3312

Step-by-step explanation:

Answer:

131.3312

Step-by-step explanation:

        63.14

      x 2.08  

      50512

     0000

   12628    

   131.3312

For this case we substitute the value of "[tex]x = 2[/tex]" in each of the inequalities and evaluate:

Option A:

[tex]6x + 20 <29\\6 (2) +20 <29\\12 + 20 <29\\32 <29[/tex]

It is not fulfilled!

Option B:

[tex]7x-10 <11\\7 (2) -10 <11\\14-10 <11\\4 <11[/tex]

Is fulfilled!

Option C:

[tex]14x + 10 <37\\14 (2) +10 <37\\28 + 10 <37\\38 <37[/tex]

It is not fulfilled!

Option D:

[tex]15x-18 <12\\15 (2) -18 <12\\30-18 <12\\12 <12[/tex]

It is not fulfilled!

ANswer:

Option B

Answer:

15 hours and 10 min

Step-by-step explanation:

6 1/2 hours on Monday

8 2/3 hours on Tuesday

You have to make the fractions equal to each other so you would have

1/2 x 3 = 3/6

2/3 x 2 = 4/6

Then add them together to get

7/6 or 1 1/6

6+8 = 14

Then add the 1 to 14 to get 15

1/6 of an hour is 10 minutes

Therefore your answer would be 15 hours and 10 minutes

Find the common ratio, by adding the adults and babies together: 6+5 = 11

Divide the total by that:

44/11 = 4

the common ratio is 4.

Now multiply the given ratios by the common ratio:

Adults = 6 x 4 = 24

Babies = 5 x 4 = 20

There are 20 babies.

S_n = n(first term + a_n)/2

n = 15

S_15 = 15(2 + a_n)/2

We need a_n.

a_n = first term + d(n - 1)

a_n = 2 + d(15 - 1)

1. Find d.

2. Plug d into expression to find a_n.

3. After finding a_n, plug back into

S_15 = 15(2 + a_n)/2 to find the sum of the first 15 terms.

Take it from here.

Answer:

P(A) x P(B)

Step-by-step explanation:

If im wrong, im so sorry

P(A | B) is found using the formula P(A AND B) / P(B), which in the context of rolling a dice and looking at events such as rolling a prime number (A) given rolling an odd number (B) would imply looking at the shared outcomes of both events and then calculating the probability.

The Venn diagram question is asking for P(A | B), which is the probability of event A happening given that event B has happened.

The multiplication rule is an important tool to solve this problem, stating that if A and B are independent events, then P(A AND B) = P(A) × P(B).

However, the calculation of P(A | B) is different.

To find P(A | B), which is read as "the probability of A given B," you use the formula P(A AND B) / P(B).

If we consider that A is the event of rolling a prime number (e.g., numbers 2, 3, 5 in a dice) and B is the event of rolling an odd number (e.g., numbers 1, 3, 5), then the outcomes that are both prime and odd (A AND B) would be {3, 5}.

If event B has already occurred (rolling an odd number), we adjust the sample space accordingly and calculate the probability of A within this new space.

Answer:

Ax = [tex]\left[\begin{array}{cc}-3&-1\\5&1\end{array}\right][/tex] ⇒ 3rd answer

Step-by-step explanation:

Lets revise the Cramer's rule

- If the system of equation is ax + by = c and dx + ey = f

- A is the matrix represent this system of equation

- The first column has the coefficients of x, and

  the second column has the coefficients of y

∴ A = [tex]\left[\begin{array}{cc}a&b\\d&e\end{array}\right][/tex]

- Ax means replace the column of x by the answers of the equation

∴ Ax = [tex]\left[\begin{array}{cc}c&b\\f&e\end{array}\right][/tex]

- Ay means replace the column of y by the answers of the equation

∴ Ay = [tex]\left[\begin{array}{cc}a&c\\d&f\end{array}\right][/tex]

* Now lets solve the problem

∵ 4x - y = -3 and -2x + y = 5

∴ A = [tex]\left[\begin{array}{cc}4&-1\\-2&1\end{array}\right][/tex]

- Replace the column of x by the answer to get Ax

∴ Ax = [tex]\left[\begin{array}{cc}-3&-1\\5&1\end{array}\right][/tex]

* Ax in the system of equation is [tex]\left[\begin{array}{cc}-3&-1\\5&1\end{array}\right][/tex]

Answer:

C

Step-by-step explanation:

Edge2021

The value of x in the expression (5x-15)°, which is the measure of an interior angle of a regular triangle, is 15.

The expression (5x-15)° is given as the measure of one interior angle of a regular triangle. This is a bit complex, as regular triangles, also known as equilateral triangles, only have angles that measure 60° each. Thus, we can set up the equation 5x - 15 = 60.

Solving for x, we get:

So, the value of x that would result in each angle of an regular triangle measuring (5x-15)° is 15.

https://brainly.com/question/31223205

#SPJ3