Which estimate is the most reasonable for this problem?The distance to Louisa’s grandparents’ house is 791 miles. Louisa and her family have driven 114 miles. How much farther does Louisa’s family need to drive?

A.
500 mi

B.
550 mi

C.
600 mi

D.
700 mi

Answers

Answer 1

Answer: If you would like to know how much farther does Louisa's family need to drive, you can calculate this using the following steps:

791 miles - 114 miles = 677 miles ... 700 miles

The correct result would be D. 700 mi.

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S=2pirh for h i need help please
Solve the system of equations using substitution.y = 4x + 6y = 2xa. (6, 3)b. (-3, -6)c. (3, 6)d. (1, 2)
lalo has 1500 minutes per month on his cell phone plan. how many more minutes can he use if he has already talked for 785 minutes?
The length of a rectangle is 5 more than twice the width. if the perimeter of the rectangle is 76 meters, find the dimensions of the rectangle and choose the equation that represents the perimeter:1. 76=2w+52. 76=2w+2(2w+5)3. 76=w+2w+54. 76=2w+(2w+5)

A circle has a radius that is 4 centimeters long. if a central angle has a measure of 3 radians what is the length of the ark that corresponds in the angle?

Answers

There's a ratio that holds for arc lengths:

$\frac{\text{arc length}}{\text{measure of angle subtended by arc}}=\frac{\text{circumference}}{\text{one full revolution}}$

Denote the arc length by $L$ and the angle subtended by it by $\theta$ . Then given a circle of radius $r$ , this relation says

$\frac L\theta=(2\pi r)/(2\pi)=r\implies L=r\theta$

So, the arc length in this case is simply

$L=4\text{ cm}*3=12\text{ cm}$

Answer:

Step-by-step explanation:

What multiplies to be -42 and adds to be 19?

Answers

21 and -2
21x-2=-42
21+-2=19

Factor completely and then place the factors in the proper location on the grid.b 2 + 12b + 32

Answers

Answer:

$(b+4)(b+8)$

Step-by-step explanation:

The given quadratic trinomial is

$b^2+12b+32$

We split the middle term to obtain;

$b^2+8b+4b+32$

We factor to get;

$b(b+8)+4(b+8)$

We factor further to get;

$(b+4)(b+8)$

The fully factored form of this expression would be:

(B+8)(B+4).

HELP PlEASE!!!!!! 1. Solve, using linear combination.

3x – y = 4
2x + y = 6

2. What is the y-coordinate of the solution to the system of equations?
5x - y = 25
4x + 3y = 1

3 . What is the x-coordinate of the solution to the system of equations?
x = y + 16
y + 4x = 9

4 . Graph the system of equations using technology.

What is the x-coordinate of the solution?

Round to the nearest hundredth.
-6x - 7y = 8
x + 5y = 11

Answers

The x-coordinates and y-coordinates of the given simultaneous equations are; as silver below.

How to solve simultaneous equations?

1) To use linear combinations to solve the simultaneous equation;

3x – y = 4 ------(eq 1)

2x + y = 6 ---- (eq 2)

Add eq 1 to eq 2 to get;

5x = 10

divide both sides by 2 to get;

x = 2

Thus; 3(2) - y = 4

y = 6 - 4

y = 2

2) 5x - y = 25 ------(eq 1)

4x + 3y = 1 ----- (eq 2)

Make y the subject in eq 1 t get;

y = 5x - 25

Put 5x - 25 for y into the equation 2 to get;

4x + 3(5x - 25) = 1

4x + 15x = 76

19x = 76

x = 4

y = 5(4) - 25

y = -5

3) x = y + 16 - - - (eq 1)

y + 4x = 9 - - - (eq 2)

Put eq 1 in eq 2 to get;

y + 4(y + 16) = 9

y + 4y + 64 = 9

5y + 64 = 9

y = (9 - 64)/5

y = -11

Thus;

x = -11 + 16

x = 5

4) -6x - 7y = 8 - - - (eq 1)

x + 5y = 11 - - - (eq 2)

Make x the subject in eq 2 to get;

x = 11 - 5y

Put 11 - 5y for x in eq 1;

6(11-5y) -7y = 8

66 + 30y - 7y = 8

23y = -58

y = -2.5217

Thus;

x + 5(-2.5217) = 8

x = 8 + 12.608

x = 20.608

Read more about simultaneous equations at; brainly.com/question/16863577

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3x - y = 42x + y = 6the answer is always:y = 3x 4y = 6-2xand y = y gives:3x-4 = 6-2x, which gives:5x = 10x = 2

Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?A square shaped traffic sign is shown with length of one side labeled as 8x minus 2.

Answers

Given:
square shaped traffic sign. side measure of 8x - 2

A square has 4 equal sides. To find the area of a square, simply square the measure of 1 side.

Area of a square = a²
A = (8x-2)²
A = (8x-2)(8x-2)
A = 8x(8x-2) - 2(8x-2)
A = 64x² - 16x - 16x + 4
A = 64x² - 32x + 4

Find the slope of the line that contains the points named. K(c + d, c - d), L(c - d, c + d)
a. -1
b. 1
c. 0