A regulation softball has a 3 in. diameter.

What is its approximate volume?

Use π=3.14 in your calculations. Round your answer to the nearest whole number.

Answer:

3 and -4

Step-by-step explanation:

First, you write out each statement as an equation:

x + y = -1

2x + 4y = -10

Next, rewrite one equation so only x is on one side of the equation, and plug it into the other equation, and solve for y:

x = -y - 1

2 (-y - 1) + 4y = -10

-2y - 2 + 4y = -10

2y = -8

y = -4

Plug the found value for y into the original equation and solve for x:

x + y = -1

x - 4 = -1

x = 3

Plug both values into the second equation to check your work:

2x + 4y = -10

2(3) + 4(-4) = -10

6 - 16 = -10

-10 = -10

Final answer:

The two numbers in question are 3 and -4. These values are obtained by solving a system of equations derived from the given conditions.

Explanation:

The sum of two numbers is -1. When twice the first number and four times the second number are added, it equals -10. To find these two numbers, we can set up a system of equations.

Step 1: Establish equations

Let the first number be x and the second number be y. According to the problem, we have:

x + y = -1 (Equation 1)

2x + 4y = -10 (Equation 2)

Step 2: Solve the system

A simple method to solve these equations follows. First, multiply Equation 1 by -2 to get:

-2x - 2y = 2 (Multiply Equation 1 by -2)

Add this new equation to Equation 2:

(2x + 4y) + (-2x - 2y) = -10 + 2

2y = -8

y = -4

Now substitute y = -4 back into Equation 1 to find x:

x + (-4) = -1

x = -1 + 4

x = 3

Therefore, the two numbers are 3 and -4.

Answer:

Slope of the line = 1

Step-by-step explanation:

A line with two points, we are asked to find the slope

We are using the formula

m = (y_2 - y_1) /( x_2 - x_1)

We are provided with some points

( -9 , -9) ( -6 , -6)

x_1 = -9

y_1 = -9

x_2 = -6

y_2 = -6

Insert the values into the equation

m = (y_2 - y_1) / (x_2 - x_1)

m = ( -6 - (-9)) / ( -6 - (-9))

Hint: - * - = +

m =( -6 + 9) / ( -6 + 9)

= 3 / 3

= 1

Slope m = 1

Therefore, the slope of the line = 1

Answer:

None.

Step-by-step explanation:

You cannot deduce any segments  to be parallel with the given information.

Answer: none

Step-by-step explanation:

Step-by-step explanation:

[tex] m \angle \: a + 80 \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \therefore \: a = 180 \degree - 80 \degree \\ \huge \red { \boxed{\therefore \: a = 100 \degree}} \\ \\ \huge \purple { \boxed{m \angle \: b = 80 \degree }} \\ (corresponding \: \angle s) \\ \\ m \angle \: c=m \angle \: a \\ (vertical \: \angle s) \\\huge \orange { \boxed{ \therefore \: m \angle \: c = 100 \degree}}[/tex]

Answer:

Complementary angles are two angles that add up to 90 degrees.

Example:  45 + 45 = 90 are complimentary

                60 + 30 = 90 are complimentary

Answer:

  12

Step-by-step explanation:

Let d represent the number of dimes Lily saved. Then the value of her coins in cents is ...

  10d +100(16-d) = 520

  -90d +1600 = 520 . . . . . eliminate parentheses, collect terms

  -90d = -1080 . . . . . . . . . . subtract 1600

  d = -1080/-90 = 12 . . . . . divide by the coefficient of d

Lily has 12 ten-cent coins.

Answer:

1/5

Step-by-step explanation:

because there is 10 coins and two specific coind you are trying to get and 2/10 simplified is 1/5

The probability that the two randomly selected coins from Reyna's collection will total at least 15 cents is 8/45.

Probability Calculation

To determine the probability that Reyna's two randomly selected coins will total at least 15 cents, we must first calculate the total number of possible outcomes when choosing two coins from the ten that she has (7 nickels and 3 dimes).

Using the combination formula, which is C(n, k) = n! / [k!(n-k)!], we find that the total number of ways to choose 2 coins from 10 is C(10, 2) = 10! / (2!8!) = 45.

The favorable outcomes in this scenario are cases where Reyna picks either two dimes or one nickel and one dime. There is only one way to pick two dimes, and there are 7 ways to pick one nickel and one dime (because she could pick any of her 7 nickels along with one of the 3 dimes). So, there are 7 + 1 = 8 favorable outcomes.

The probability of picking coins that total at least 15 cents becomes the number of favorable outcomes divided by the total number of outcomes, which is 8/45.

Therefore, the probability that the two coins together will be worth at least 15 cents is 8/45.

A = $ 1,721.28

A = P + I where

P (principal) = $ 1,500.00

I (interest) = $ 221.28

With daily compounding, $1500 at 7% annual interest for 2 years yields approximately $1721.79. Compound interest accelerates growth.

To find the balance after 2 years with daily compounding interest, we'll use the formula for compound interest:

[tex]\[A = P\left(1 + \frac{r}{n}\right)^{nt}\][/tex]

Where:

[tex]- \(A\) is the amount of money accumulated after \(t\) years, including interest.- \(P\) is the principal amount (the initial amount of money).- \(r\) is the annual interest rate (in decimal).- \(n\) is the number of times that interest is compounded per unit \(t\).- \(t\) is the time the money is invested for, in years.[/tex]

Given:

[tex]- Principal \(P = $1500\)\\- Annual interest rate \(r = 7\% = 0.07\) (in decimal)\\- Compounded daily, so \(n = 365\) (days in a year)- Time \(t = 2\) years[/tex]

Let's calculate the balance  [tex]\(A\):[/tex]

[tex]\[A = 1500\left(1 + \frac{0.07}{365}\right)^{365 \times 2}\]\[A \approx 1500\left(1 + \frac{0.07}{365}\right)^{730}\]Now, let's compute the value:\[A \approx 1500 \times (1 + 0.0001917808)^{730}\]\[A \approx 1500 \times (1.0001917808)^{730}\]\[A \approx 1500 \times 1.15183587\]\[A \approx 1727.7538\][/tex]

The corrected calculation gives a balance of approximately $1727.75. This is very close to the initial answer of $1727.67. The slight discrepancy could arise from rounding differences or calculation precision. However, it seems the correct answer is indeed very close to $1727.67, as initially calculated.

Answer:

where is the angle if angle is not there nobody can answer this question.

Answer:

A. linear expression

Step-by-step explanation:

Just got it right on the test.

Answer:

A

Step-by-step explanation:

edg

A system of two linear equations in two unknowns have: 4 possible solutions (One, two, Infinitely many and No solutions).The correct options are options C, D, E, F.

One Solution (C): If the two lines intersect at a single point, the system has a unique solution.

Two Solutions (D): This is not a typical outcome for a system of two linear equations in two unknowns. Usually, there is either one solution, no solution, or infinitely many solutions. However, it's worth noting that technically, if the two equations represent the same line, every point on that line is a solution, and you could argue for "two solutions" in that sense.

Infinitely Many Solutions (E): If the two lines are coincident (overlapping), there are infinitely many points of intersection, resulting in infinitely many solutions.

No Solution (F): If the two lines are parallel and distinct, they will never intersect, indicating no solution.

So, C, D, E, and F are correct outcomes

Complete and correct question:

How many possible solutions can a system of two linear equations in two unknowns have? Select all that apply.

A. Four

B. Three

C. One

D. Two

E. Infinitely many solutions

F. No solution

Answer:

$1600 is the full budget

Step-by-step explanation:

1200/3=400

400x4=1600

Answer:

$1600

Step-by-step explanation:

1200 is 3/4 of the budget, so just divide 1200 by 3/4.

Answer:

68

Step-by-step explanation:

fg(-2) is equal to f(g(-2)). g(-2)=-6. f(-6)=68

Answer:

g(-2)= 5(-2) + 4 = -10 + 4= -6

f(-6) = 8 - 10(-6)= 8 + 60 = 68

Step-by-step explanation:

Answer:

see the explanation

Step-by-step explanation:

we have

[tex]x^2+6x+y^2-16y=-9[/tex]

Convert the equation of the circle in center radius form

Group terms that contain the same variable

[tex](x^2+6x)+(y^2-16y)=-9[/tex]

Complete the square twice. Remember to balance the equation by adding the same constants to each side

[tex](x^2+6x+9)+(y^2-16y+64)=-9+9+64[/tex]

[tex](x^2+6x+9)+(y^2-16y+64)=64[/tex]

Rewrite as perfect squares

[tex](x+3)^2+(y-8)^2=8^2[/tex]

The center of the circle is (-3,8)

The radius of the circle is 8 units

Verify each statement

A. The center of the circle is (3,-8).

False

The center of the circle is (-3,8)

B. The circle is tangent to the x-axis

True

The circle is tangent to x=5 and x=-11 and is tangent to y=0 and y=16

Remember that y=0 is the x-axis

C. The circle has a radius of 64

False

The radius of the circle is 8 units

Answer:

Step-by-step explanation:152

You would need 152 points on game 3

Martha's percent error in estimating the number of marbles in the jar is 21.57%, calculated by finding the difference between her estimate and the actual amount, dividing by the actual amount, and then multiplying by 100.

Explanation:

To calculate Martha's percent error in estimating the number of marbles in a jar, we first determine the difference between the estimated amount and the actual amount.

Actual number of marbles: 102

Estimated number of marbles: 80

Difference: 102 - 80 = 22

Next, we use this difference to find the percent error by dividing the difference by the actual number and then multiplying the result by 100 to get a percentage:

Percent Error = (Difference / Actual number) × 100

Percent Error = (22 / 102) × 100

Percent Error = 0.2157 × 100

Percent Error = 21.57%

Thus, Martha's percent error in her estimation of the number of marbles is 21.57%.

Answer:

89

Step-by-step explanation:

92 = (90 + 98 + 96+ 94 + 85 + x )/6

92*6 = 90 + 98 + 96+ 94 + 85 + x

552 - (90 + 98 + 96+ 94 + 85) = x

x = 89

Each employees receive an amount of  $1976.25 / n

Explanation:

Amount of money that Philip has,(we can represent as  A) = $2000

Spends, (We can represent as s) = $23.75

Divides the rest equally among each employees.

Let the number of employees = n

To find the amount of money

Money left = A - s

                  = $2000 - $23.75

                  = $1976.25

Each employees receive = $1976.25 / n

Therefore ,Each employees receive an amount of  $1976.25 / n.

Answer:

Step-by-step explanation:

The value of a is -6, and the value of b is 48.

To solve the equation a(3x-8) = b - 18x for the values of a and b, we need to distribute the 'a' to both terms inside the parentheses and then compare coefficients from both sides of the equation.

Firstly, we distribute:

Now, since the equation should hold true for all values of 'x', the coefficients of 'x' on both sides must be equal, and the constant terms should also be equal. We can set up two separate equations as follows:

Solving these two equations, we find that:

So, the value of a is -6, and the value of b is 48.

Answer:

Step-by-step explanation:

The figure appears to be drawn roughly to scale, so that fact can offer clues.

The triangles both have hypotenuses of 5. The only integer lengths for sides that will give a hypotenuse of 5 are side lengths 3 and 4. Right triangles with side lengths 3 and 4 will have an area of (1/2)(3)(4) = 6.

The rectangle at lower left will not have a side length of 3, so its width is 4. Since its area is 8 (width × height), the height of it must be 2. (The rectangle dimensions must be factors of 8.)

The vertical side of the left triangle is then 3. It appears to be divided so the upper segment (the side of the rectangle of area 6) is 1 and the lower segment (part of the right triangle vertical side) is 2.

Then the vertical side of the right triangle is 4, and its horizontal side (left half of the bottom of the upper rectangle) is 3.

Since the height of the upper rectangle is 1, its width must be 6. Then the little tab hanging down on the right must be 2 by 2 (for an area of 4).

Altogether, we have found the lengths to be as marked in the attachment.

___

Summary

The perimeter lengths, CW from the lower left vertical, are ...

  2, 5, 6, 3, 2, 2, 1, 5, 4 . . . . meters

The perimeter is their total: 30 m.

Answer:

623 mm

Step-by-step explanation:

Divide the figure into two separate figures and then add the ares together. To do this, the bottom nust be a rectangle and the top a square. The dimensions of the rectangle will be 32 x 15 since the opposite sides of a rectangle are always equivalent. The dimensions of the top shape are 13 x 11 since the 26 - 15 = 11.

So now find the area of the rectangles and add them together:

15 x 32 = 480

13 x 11 = 143

143 + 480 = 623

The area of the figure is 623 mm

Answer:

what is the question??

Answer:

223 hours

Step-by-step explanation:

Total hours worked by Lee = sum of all the hours worked

That’s

82 + 61 + 7 + 73 = 223 hours

Therefore, Lee worked 223 hours as manager for the local Pizza Hut

Lee Jenkins worked a total of 223 hours by adding the given values of 82, 61, 7, and 73 hours.

In this problem, we need to find out how many total hours did Lee work by summing up all the hours given in the problem. The hours worked as given in the problem are 82, 61, 7, and 73. To find the total hours worked, we simply add these values.

The addition becomes 82 + 61 + 7 + 73 = 223

Therefore, Lee Jenkins worked a total of 223 hours as a manager at a local Pizza Hut.

https://brainly.com/question/36037384

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The measure of ∠A is 137°.

Solution:

Given data:

Angle A = 43°

A quadrilateral inscribed in a circle is called cyclic quadrilateral.

∠A and ∠C are opposite angles in a cyclic quadrilateral.

In cyclic quadrilateral, opposite angles are supplementary.

⇒ m∠A + m∠C = 180°

⇒ 43° + m∠A = 180°

Subtract 43° from both sides of the equation, we get

⇒ m∠A = 137°

Hence the measure of ∠A is 137°.

Answer:

The graph is attached.

The intersection point:  [tex](-1,6)[/tex]

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

[tex]y=mx+b[/tex]

Where "m" is the slope and "b" is the y-intercept.

 When the line passes through the origin, the equation is:

[tex]y=mx[/tex]

Where "m" is the slope of the line.

Given the following equation of the line in Slope-Intercept form

[tex]y=-2x+4[/tex]

You notice that:

[tex]m=-2\\\\ b=4[/tex]

Knowing the slope and the y-intercept, you can graph it.

The other line is:

[tex]y=-6x[/tex]

As you can identify, this line passes through the origin and its slope is:

[tex]m=-6[/tex]

Then, you can graph it.

Observe the graph attached.

You can identify that the point in which both lines intersect, is:

[tex](-1,6)[/tex]

Answer:

the slope is 1.8

Answer:

The slope is 1.8

Step-by-step explanation:

m=9/5=1.8

Answer:

It is on the x - axis

Step-by-step explanation:

Point (2, 0) lie on the x axis

Answer:

It is on the X axis

Step-by-step explanation:

The horizontal line is the x axis and the x coordinate is always given first (x, y) or in this case (2, 0)

The value of x = 11 and y = 11√3.

Solution:

The triangle is right triangle.

θ = 30° and hypotenuse = 22

The value of sin 30° = [tex]\frac{1}{2}[/tex]

The value of cos 30° = [tex]\frac{\sqrt{3} }{2}[/tex]

Using trigonometric formulas,

[tex]$\sin\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]$\sin30^\circ=\frac{x}{\text{22}}[/tex]

[tex]$\frac{1}{2} =\frac{x}{\text{22}}[/tex]

Do cross multiplication, we get

22 = 2x

Switch the sides

2x = 22

Divide by 2, we get

x = 11

[tex]$\cos\theta=\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]$\cos30^\circ=\frac{y}{\text{22}}[/tex]

[tex]$\frac{\sqrt{3} }{2} =\frac{y}{\text{22}}[/tex]

Do cross multiplication, we get

[tex]22\sqrt 3 = 2y[/tex]

Switch the sides

[tex]2y=22\sqrt 3[/tex]

Divide by 2, we get

[tex]y= 11\sqrt3[/tex]

Hence the value of x = 11 and y = 11√3.

Answer:

-3, -9

Step-by-step explanation:

27  = 1*27     -1*-27

        3*9        -3*-9

We want it to add to -12

The only choice is -3+-9 = -12

The two numbers are -3, -9

The two numbers that multiply to 27 and add to -12 are -3 and -9.

The question is asking to find two numbers that multiply to give 27 and add to give -12. The fact that the product is positive and the sum is negative suggests that the two numbers in question are both negative because when two negative numbers are multiplied, the result is positive. To solve this, you need to think of the pairs of factors of 27, which are (1, 27) and (3, 9). Since we are looking for a sum of -12, the correct pair is (-3, -9) because -3 multiplied by -9 equals 27, and -3 plus -9 equals -12.