Ellie ran 4x + 5 miles today and 3x – 2 miles
yesterday. If she ran a total of 31 miles, what
is the value of x?

Answer:

8 meters

Step-by-step explanation:

4x2=8

Answer:

$7120 or $7565 is the minimum average premium they should charge per policy holder

Step-by-step explanation:

Small business can charge 80-85% of the total value of the policy as premium.

In this case the spending per policy holder is $8900

Hence, per policy holder has to pay a premium of

80-85% of $8900

$7120 or $7565 is the minimum average premium they should charge per policy holder

Answer:

x = 0

Step-by-step explanation:

The vertical asymptote of this graph is the y-axis, that is, the line x = 0

Answer:

42 ft

Step-by-step explanation:

body = x

tail = 7x

x + 7x = 48

8x = 48

Divide both sides by 8

x = 6

Tail

7x = 7(6)

7x = 42

Answer:

C. 100 1/4

Step-by-step explanation:

Just finished the test

Based on the information given in the table, the price of the XYZ bond on the previous day was $100 and three-fourths is 100Three-fourths. The correct option is b.

A stock, also known as equity, is a financial instrument that represents ownership of a portion of the issuing corporation.

As per the information given in the table, the price of the XYZ bond on the previous day was $100 and three-fourths.

This is because the table indicates that the current yield for the XYZ bond is 8.4, the volume is 17, the close price is 100 and one-half, and the net change is + one-fourth.

To calculate the previous day's price, we can use the following formula:

Previous day's price = Today's price - Net change

Plugging in the values from the table, we get:

Previous day's price = 100 and one-half - one-fourth

= 100 and three-fourths

Therefore, the answer is b. 100Three-fourths.

For more details regarding stocks, visit:

https://brainly.com/question/29992015

#SPJ7

Answer:

17.2 meters

Step-by-step explanation:

This is a right triangle problem

a^2 + b^2 = c^2

The 1st triangle:

a^2 + 10.1^2 = 12.2^2

a^2 = 12.2^2 - 10.1^2

a^2 = 46.83

a = 6.8432448444

The 2nd triangle

a^2 + 6.4^2 = 12.2^2

a^2 = 12.2^2 - 6.4^2

a^2 = 107.88

a = 10.3865297381

---------------------------------

Width = 6.8432448444 + 10.3865297381

Width = 17.2297745825

Width ≈ 17.2 meters

Answer:

Step-by-step explanation:

5,1, 9

Answer:

5,1 and 9 like said above sksksk

Step-by-step explanation:

Answer:

m<RPS = 53 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram shown;

m<QPR + m<RPS = 90

Given that;

m<QPR = x

m<RPS = x+16

Substitute into the formula;

m<QPR + m<RPS = 90

x+x+16 = 90

2x+16 = 90

2x = 90-16

2x = 74

x = 74/2

x = 37degrees

Get m<RPS;

Since m<RPS = x+16

m<RPS = 37 + 16

m<RPS = 53 degrees

Answer:

Step-by-step explanation:

25/2=12.5= π(12.5)=12.5 x 12.5= π(156.25)=

π = 490.87 x 4= 1963.48

Answer:

[tex]390ft^2\\[/tex]

Step-by-step explanation:

Ok so we have 2 (congruent) triangles and 3 rectangles.

Your main approach to this problem should be to find the area of each of the faces and adding them up to get to your final answer. Your question makes a point of including the correct unit in your answer. Since this is surface area, the unit would be [tex]ft^2[/tex]

Now let's start:

First, I am going to start with finding the area of the rectangles.

[tex]12\cdot11=132\\13\cdot11=143\\5\cdot11=55\\\\55+143+132=330[/tex]

Alright, next lets move on to the triangles.

They are both the same, if you notice. So find one and double it.

[tex]12\cdot5=60\\\frac{60}{2}=30\\30\cdot2=60[/tex]

now lets add em all

330+60

= 390 and thats your final answer, dont forget to include the unit, ft^2

Answer:

Step-by-step explanation:

Cathy worked 4 hours.

4 hours = 4 * 60 = 240 minutes

She worked an additional 15 minutes which brings her total up to 255.

Doug worked 1 minute longer than Cathy.

Answer:

a.) Doug worked more. b.)The difference is one minute.

Step-by-step explanation:

CAN BE DONE DIFFERENTLY

Cathy has 4 & 15 minutes, since each hour is 60 minutes we can multiply 60 by 4.

60

x4

240

Now adding the 15 it'll be 255.

DOUG WORKED MORE.

DIFFERENCE IS 1 MINUTE.

Answer:A perfect 5 pointed star geometrically is an equilateral concave decagon, it is also a common ideogram in modern culture.

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Answer:

9.9cm

Step-by-step explanation:

If side h cm is opposite of 51° and side 8cm is adjacent to 51°, use the tangent function to calculate the opposite side h cm:

tan(51°)=opposite/adjacent=h/8

tan(51°)=h/8

8tan(51°)=h

9.879177252=h

9.9=h

Therefore, the value of h is 9.9cm

Answer:

Prob (Arrive before 7.30) =  14 / 25 ; Prob (Arrive after 7.30) = 11 / 25

Step-by-step explanation:

Prob (Arrive before 7.30) = No. of days before 7.30 arrival / Total work days

= 28 / 50  = 14 / 25

Prob (Arrive after 7.30) = No. of days after 7.30 arrival / Total work days

= (50 - 28) / 50 = 22 / 50 = 11 / 25

or , 1 - Prob (Arrive before 7.30) = 1 - 14/25 = (25 - 11) / 25 = 11/ 25

Answer:

so its D

Step-by-step explanation:

a is wrong becuase it does have 6

b is wrong becuase you make into 6 triangles

c is wrong becuase it does add up to 180 degrees

(a) y = [tex]\frac{-1}{2}[/tex]x -  [tex]\frac{3}{2}[/tex]

(b) y = 2x + 3

(a) The equation of a line given by points M(x₁, y₁) and N(x₂, y₂) is given by:

y - y₁ = m(x - x₁)            -------------------(i)

Where;

m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = slope or gradient of the line  ---------------(ii)

Given points on the triangle are:

A(2,5)

B(1,-2)

C(-5,1)

To find the equation of line BC, we use the formulas in equations (i) and (ii) where the points of the line are B(1,-2) and C(-5,1) and;

x₁ = 1

y₁ = -2

x₂ = -5

y₂ = 1

==> First get the gradient using equation (ii) as follows;

m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = [tex]\frac{1 - (-2)}{-5 -1}[/tex]

m =   [tex]\frac{3}{-6}[/tex]

m = [tex]\frac{-1}{2}[/tex]

==> Now, use equation (i) to find the equation of the line as follows;

y - (-2) = [tex]\frac{-1}{2}[/tex](x - 1)

y + 2 = [tex]\frac{-1}{2}[/tex](x - 1)

Multiply both sides by 2

2(y+2) = -1 ( x - 1 )

2y + 4 = -x + 1

2y = -x + 1 - 4

2y = - x - 3

y =  [tex]\frac{-1}{2}[/tex]x -  [tex]\frac{3}{2}[/tex]

Therefore, the equation of the line is y = [tex]\frac{-1}{2}[/tex]x -  [tex]\frac{3}{2}[/tex]

(b) To find the perpendicular line from A to BC, note that

i. two lines are perpendicular if they meet at 90°

ii. the general equation of a line could also be written as y = mx + c where m is the slope and c is the intercept.

iii. when one line has a slope of m, then a perpendicular line to that line will have a slope of [tex]\frac{-1}{m}[/tex]

The equation of line BC is y = [tex]\frac{-1}{2}[/tex]x -  [tex]\frac{3}{2}[/tex].

This means that BC has a slope of [tex]\frac{-1}{2}[/tex]

A perpendicular line from A to BC will have a slope of 2.

Now to get the equation of this perpendicular line from A(2, 5) to BC, we use the general equation of a line given in equation (i)

where;

m = 2

x₁ = 2

y₁ = 5

Substitute these values into equation (i)

y - 5 = 2(x - 2)

Solving by simplification gives;

y - 5 = 2x - 2

y = 2x + 3

Therefore, the equation of the perpendicular line is y = 2x + 3

Answer:

8 x 10 = 80

80 divided by 2 = 40

6 x 8 = 48

48 divided by 2 = 24

40 + 24 = 64 in2 is your answer.

Formula of a triangle:

B(base) x H(height) x 1/2(basically dividing by 2)

Answer:

Good question could someone answer it. I would like to know also

Answer: it’s 10.0

Step-by-step explanation:

Answer:

$72 profit

Step-by-step explanation:

Answer:

$72 Profit made

Step-by-step explanation:

$48/4 = 12

12 times 5 = 60 oranges

60 times 2 = $120

$120 - $48 = $72

Answer:

(1.)6×10-4=56 (2.) 3×10-5=25

Answer:2 x 10^9

Step-by-step explanation:

Answer:

Because it only has one answer and there are no variety of answers.

hope this helps

Answer:

50.24

Step-by-step explanation:

Area = pi*r^2

r = diameter/2

r = 4

Area = pi*4^2

Area = 3.14*16

Area = 50.24

Answer:

Step-by-step explanation:

The area A of a circle of radius r is A = πr², where π is often approximated by 3.14.

Here, with the circle diameter being 8, we figure the radius to be half that, or 4.

Then the area of this circle is A = (3.14)(4 in)², or

                                                 A  =  50.24 in²

Answer:

94,533 males live to the age of 44 years.

Answer:

Step-by-step explanation:

94,533

Answer:

1/2

Step-by-step explanation:

hope it helped u alot

Answer:

1/3 is not greater than 2/5

Step-by-step explanation: