Mr Powell and Ms. Krawczyk live 24 miles apart. They agree
to meet at their favorite restaurant, which is (8x 2) miles from Mr Powell!
house, and (5x+10) miles from Me Krawczyks. Assuming a straught
line distance, the restaurant halfway between their houses?
Jurnity your answer.

Answer:

Step-by-step explanation:

Hypotenuse = 25

Opposite=20

Adjacent =?

Use Pythagoras Theorem :

[tex] {hypotenuse}^{2} = {opposite}^{2} + {adjacent}^{2} [/tex]

Input values

[tex] {25}^{2} = {20}^{2} + {x}^{2} \\ 625 = 400 + {x}^{2} \\ 625 - 400 = {x}^{2} \\ 225 = {x}^{2} [/tex]

Square root both sides

[tex] \sqrt{225} = \sqrt{ {x}^{2} } \\ 15 = x \\ x = 15[/tex]

Answer:

1)  -8(9n-10) - 20

-72n + 80 - 20

-7n + 60

Can't factor

2) 90n+54

18(5n+3)

3) -72n+60

-12(6n-5)

4) -17n - 80

Can't factor

5) -160n

Can't factor

Answer:

B. -72n+60

Step-by-step explanation:

We are given the expression:

-8 (9n-10) -20

We want to simplify the expression. First, distribute the -8.

Multiply each term inside the parentheses by -8.

(-8 * 9n) + (-8*-10) -20

-72n + (-8 * -10) -20

-72n + 80 -20

Next, combine like terms. Currently, we have two constants (terms without variables) that can be combined.

Subtract 20 from 80.

-72n + (80-20)

-72n + 60

The expression: -8(9n-10)-20, simplified is -72n+60. Therefore, the correct answer is B. -72n+60

Answer:

15 inches

Step-by-step explanation:

Hello!

To find the perimeter of a rectangle we have to add all the sides

l + l + w + w = p

We know the length is 6 inches more than the width

l = w + 6

We can put w + 6 for l

w + 6 + w + 6 + w + w = p

We can simplify this

4w + 12 = p

The perimeter is no more than 48

4w + 12 = 48

Subtract 12 from both sides

4w = 36

Divide both sides by 4

w = 9

Now we can put 9 in for w in the equation to find the length

l = 9 + 6

l = 15

The answer is 15 inches

Hope this helps!

Answer:

85° (C).

Step-by-step explanation:

35° should go over to the other side of the line:

180 - 35 = 145°

Find angle 1:

145 + 130 + angle 1 = 360°

360° = 275° + angle 1

angle 1 = 360 - 275

angle 1 = 85°

85° which is C is the answer.

Answer:

Your correct answer is option C. 85 degrees.

Step-by-step explanation:

35 degrees goes over to the other side of the line:

180 - 35 = 145°

All you need to do is find angle 1.

145 + 130 + angle 1 = 360 degrees

360 degrees = 275 degrees + angle 1

angle 1 = 360 - 275

angle 1 = 85 degrees.

Therefore, option C. is the correct answer.

Answer:  I will start it by squaring both sides of the equation.  

The solution is  x = 5 or x=-1

Step-by-step explanation:

[tex]\sqrt{8x+9} =x+2[/tex]     Square the left and right sides. The square root of 8x+9 squared is 8x+9  and the x+2 squared is x^2 + 4x +4. We will now have the new equation,

8x + 9 = [tex]x^{2}[/tex] + 4x + 4   now set them equal zero first sutract x^2 from both sides

-x^2       -x^2

-x^2 + 8x + 9 = 4x +4      subtract 4x from both sides      

          -4x            -4x

-x^2 +4x + 9 = 4        Finally subtract 4 from both sides

               -4    -4

-x^2 + 4x +5 = 0    Remember the largest degree has a negative coefficient so divide them all by -1.

x^2 - 4x -5 = 0        Now find two numbers that their product is -5 and their sum is -4.     the numbers  1 and -5 works out.

Now rewrite the whole equation as,

x^2+ 1x -5x -5=0      Factor by grouping on the left side

x(x+1) -5(x+1)= 0      Factor out x+1

(x+1)(x-5) = 0         Now apply the zero product

x+1 = 0     or x-5 = 0

   -1    -1          +5   +5

x = -1   or  x = 5

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf {11.11\%}}}}[/tex]

Step-by-step explanation:

Given,

Cost price of three thermos flask = 1080

Selling price of each thermos flask = 400

Finding the selling price of three thermos flask

Since, the cost of 3 thermos flask is more than that of 1 thermos flask. So, the cost of 1 thermos flask is multiplied by 3 ( i.e 400 × 3 = 1200 )

Here, the selling price is greater than cost price.

So, there is profit.

And we know that,

[tex] \sf{profit = sp \: - \: cp}[/tex]

⇒[tex] \sf{1200 - 1080}[/tex]

⇒[tex] \sf{120}[/tex]

Profit amount = 120

Finding the profit percentage

[tex] \sf{profit\% \: = \frac{profit}{cp} \times 100 \%}[/tex]

⇒[tex] \sf{ \frac{120}{1080 } \times 100\%} [/tex]

⇒[tex] \sf{11.11\%}[/tex]

Hope I helped!

Best regards!!

Answer:

13b

Step-by-step explanation:

Add 4b and 9b together because they are like terms,

so 4b + 9b = 13b

Answer:

13b

Step-by-step explanation:

4b+9b

Combine like terms

13b

Answer:

[tex]\boxed{A. 2,016 km^2}[/tex]

Step-by-step explanation:

Hey there!

TSA is calculated using,

TSA = 2wl + 2lh + 2hw

Plug in the given info.

w = 18

l = 18

h = 19

TSA = 2(18)(18) + 2(18)(19) + 2(19)(18)

TSA = 648 + 684 + 684

TSA = 2,016km²

Hope this helps :)

The total surface area of the cuboid is km². Therefore, option A is the correct answer.

The given dimensions are length=19 km, width=18 km and height=18 km.

We need to find the total surface area of the given cuboid.

Total surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, TSA=2lw+2lh+2hw, to find the surface area.

Now, TSA = 2(18)(18) + 2(18)(19) + 2(19)(18)

TSA = 648 + 684 + 684=2016 km²

The total surface area of the cuboid is km². Therefore, option A is the correct answer.

To learn more about the total surface area of the cuboid visit:

https://brainly.com/question/27537575.

#SPJ5

Answer:

the answer is three.

Step-by-step explanation:

first, simplify the exponent, which would be 36, then solve the 3+9, which is 12, then that leaves you with 36/12, and 12 goes into 36 3 times, so three is your answer

Answer:

The answer is 3

Step-by-step explanation:

To evaluate, we must do the order of operations. PEMDAS:

P=Parenthesis

E=Exponents and Radicals

M=Multiply

D=Divide

A=Add

S=Subtract

Because 6^2 ÷ (3 + 9), we must do the parenthesis which is add then simplify the exponent and lastly divide. So the equation will be:

6^2 ÷ (3 + 9)

= 6^2 ÷ 12

= 36 ÷ 12

= 3

I hope this helps! I'm sorry if it's wrong or complicated.

Answer:

3000m

42.875 m/cm/mm/km/in/miles³ etc. (don't know what measurement you need).

Step-by-step explanation:

1 km = 1000m

Volume of a cube is V=a³ thus 3.5³ = 42.875³

Answer:

Step-by-step explanation:

x² - 2x - 35

(x - 7)(x + 5)

x - 7 = 0 ;    x + 5 = -5

x = 7, -5

Answer:

Average : 10,724.2857 miles

Step-by-step explanation:

To determine the mean we can simple find the average, adding all the miles the car has traveled, over the number of days. See working below -

[tex]\frac{10150+10211+10424+10769+10884+11155+11477}{7}[/tex]

Adding the numerator values : [tex]10150+10211+10424+10769+10884+11155+11477=75070[/tex]

[tex]\frac{75070}{7} = 10724.28571\dots[/tex]

Ling traveled an average of about 10,724.2857 miles.

Answer:

8x^2 - 10x = 0

Step-by-step explanation:

Standard format of a quadratic equation :

ax^2 + bx + c = 0

Answer :

0.53

Step-by-step explanation:

Given the following :

Probability of female = probability of success on a single trial = 0.51

Number of babies = 80

Probability that more than half of the babies are female : p(X >80/2) = P(X > 40)

The problem can be solved using the binomial probability function :

P(X > 40) = [ p(X= 41) + p(X= 42) +.... +p(X= 80)]

In other to save computation time, we can use the binomial probability calculator

Hence ; P(X > 40) = 0.527 = 0.53

Answer:

Quadrant IV

Step-by-step explanation:

If x > 0 the we are in quadrants 1 or 4

If Y < 0 we are in quadrants 3 or 4

Since both are true, we are in quadrant 4

Quadrant 2

x axis is left to right

y axis is up and down

Answer:

some considerations before choosing which career or path you will take career wise for the future is what you enjoy doing. what is also very important is understanding how many classes of college or university is required if you are up to the challenge and how many years it'll take before starting that career.

Answer:

slope = for every +3x there is a gain of +6y. so slope is 2.

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.004 and 0.444

both have 4 in the thousandth place, both are in thousandth place

different: 0.444 is greater than 0.004

when divide by 1000:

444/1000 is greater than 4/1000

if convert to percentage :

0.444 is 44.4%

0.004 is 0.4%

Answer:

<MON = 57°

Step-by-step explanation:

they are complementary angles so they add up to 90°

3x - 15 + 5x - 23 = 90

8x - 38 = 90

8x = 128

x = 16

5(16) - 23 = 57

Step-by-step explanation:

It is given that,

Speed of Anna is x miles/hour

Speed of Sara is 10 mi/h

We need to find an expression that represents the average of Anna's and Sara's speeds. Average of two objects is given by :

[tex]v=\dfrac{v_1+v_2}{2}[/tex]

ATQ,

[tex]v=\dfrac{x+10}{2}[/tex]

The above expression represents the average speed of Anna and Sara.

Answer:

35

Step-by-step explanation:

5 x 7 = 35

Answer:

35

Step-by-step explanation:

The equation is 5x. When the value of x is 7, you multiply 5*x or 5*7. This gives you 35.

Answer:

the first one is 84

Step-by-step explanation:

subtract 145-61 then you get 84for the missing angle.

Answer:

1. 84,  2. 7.31

Step-by-step explanation:

1. 145-61=84

2. 16x+4-3x+11=110

13x+15=110

13x=95

x=7.31

Answer:

7234.56 in³

Step-by-step explanation:

4/3πr³

4/3 (3.14)(12)³

7234.56 in³

Answer:

7,234.56 cm^2

Step-by-step explanation:

We want to find the volume of the beach ball. The beach ball is in the shape of a sphere. The formula for the volume of a sphere is :

[tex]V=\frac{4}{3} \pi r^3[/tex]

We know the width, or diameter of the sphere is 24 cm. We need to find the radius. The radius is half the diameter.

r= d/2

r= 24 cm/2

r= 12 cm

The radius is 12 cm, and we can substitute it into the formula.

[tex]V=\frac{4}{3} \pi (12 cm) ^3[/tex]

First, evaluate the exponent.

(12 cm)³= 12 cm * 12cm * 12 cm= 144 cm² * 12 cm = 1728 cm³

[tex]V=\frac{4}{3} \pi * 1728 cm^3[/tex]

Substitute 3.14 in for pi.

[tex]V=\frac{4}{3} * 3.14 * 1728 cm^3[/tex]

Multiply all three numbers together.

[tex]V= 4.18666666 * 1728 cm^3[/tex]

[tex]V= 7234.55999 cm^3[/tex]

Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 5 to a 6  in the hundredth place.

[tex]V= 7234.56 cm^3[/tex]

The volume of the beach ball is 7,234.56 cubic centimeters and choice 3 is correct.

===============================================

Explanation:

If we replace x with 0, then we get...

f(x) = 3x^2-8x+2

f(0) = 3(0)^2 - 8(0) + 2

f(0) = 3(0) - 8(0) + 2

f(0) = 0 - 0 + 2

f(0) = 2

Showing that the input x = 0 leads to the output y = f(x) = 2

The answer is between choice A and choice D because of this. Something like choice B is eliminated because this table shows x = 0 leading to y = -3 which is not correct.

-----------

Let's plug in x = 1

f(x) = 3x^2-8x+2

f(1) = 3(1)^2 - 8(1) + 2

f(1) = 3(1) - 8(1) + 2

f(1) = 3 - 8 + 2

f(1) = -5 + 2

f(1) = -3

So x = 1 leads to y = -3. We can rule out choice D and confirm it is choice A.

We don't need to try other x values since we have the answer, but I recommend practicing with other x values to help confirm that the first table is the answer.

Answer:

7m+8

Step-by-step explanation:

distributive prop then pemdas

Fiona is going to jog once around the block she lives on. The block is rectangular, and it is 180 yards long and 200 feet wide. How far will Fiona jog (in feet)?

Answer:

Fiona will jog 1480 feet  once around the block she lives on.

Step-by-step explanation:

From the information given:

Length of the rectangular  block = 180 yards

Breadth of the rectangular block = 200 feet

The block have a rectangular shape and we are to determine how far will Fiona jog (in feet).

Converting yards to feet

1 yard = 3 feet

∴

180 yards = (180 × 3) feet

= 540 feet

Calculating the perimeter of the rectangle will determine how far Fiona will jog.

Perimeter of a rectangular block = 2 (length + breadth)

Perimeter of a rectangular block = 2(540 + 200) feet

Perimeter of a rectangular block = 2(740) feet

Perimeter of a rectangular block = 1480 feet

∴

Fiona will jog 1480 feet  once around the block she lives on.

Answer: Yes. They are thesame

Step-by-step explanation:

Of the 30 girls who tried out for the basketball team at Prescott Junior High, 12 were selected. In this scenario the ratio will be:

= 12/30

= 2/5

= 2:5

Of the 40 boys who tried out, 16 were selected. In this scenario, the ratio will be:

= 16/40

= 2/5

= 2:5

The ratio for both are thesame as we got 2:5 for both.

Answer:

40

Step-by-step explanation:

5 times 2^3=

5 times 8=

40

Answer:

don't ask many questions at 1time