Evaluate the expression. 5 x (-6 / -1 + -10)

Answer:

[tex]9\frac{57}{63}[/tex]

Step-by-step explanation:

First, we need to turn them into improper fractions:

[tex]2\frac{4}{7}[/tex] + [tex]7\frac{3}{9}[/tex]

7 x 2 + 4

7 x 9 + 3

[tex]\frac{18}{7}[/tex] + [tex]\frac{66}{9}[/tex]

Next, we need to find a common multiple of both 7 and 9

7, 14, 21, 28, 35, 42, 49, 56, 63

9, 18, 27, 36, 45, 54, 63

So the denomonator turns into 63.

We've multiplied the denomonater 9 times for the first fraction and 7 times for the second fraction, we therefore have to do the same to the numerator.

18 x 9 = 162

66 x 7 = 462

[tex]\frac{162}{63}[/tex] + [tex]\frac{462}{63}[/tex] = [tex]\frac{624}{63}[/tex]

Next, we have to turn it back into a mixed number.

To work it out: 624 / 63 = 9 (1 s.f) <--- Mixed number.

9 x 63 = 567

624 - 567 = 57 (Working out the remainder.)

Combining them, the answer is therefore [tex]9\frac{57}{63}[/tex]

Hope this helps and have a good day!

Answer:

is 736 units

Step-by-step explanation:

my explanation is that I got it wrong because of the answer above of me an the right answer was 736 not 706

The surface area of the rectangular prism below with height as 8 units, length as 19 units and breadth as 8 units is A) 736 square units.

The surface area of a rectangular prism is the total area of all the faces of the prism. The rectangular prism below has 6 faces, each of which is a rectangle.

The area of a rectangle is given by:

area = length * breadth

The surface area of the rectangular prism is then given by:

surface area = 2 * (length * breadth + breadth * height + height * length)

Plugging in the values for the length, breadth, and height, we get:

surface area = 2 * (19 * 8 + 8 * 8 + 19 * 8) = 2 * (152 + 64 + 152) = 2 * 368 = 736 square units

Therefore, the surface area of the rectangular prism is A) 736 square units.

Here is a breakdown of the surface area of each of the faces:

Front face: 19 * 8 = 152 square units

Back face: 19 * 8 = 152 square units

Top face: 8 * 8 = 64 square units

Bottom face: 8 * 8 = 64 square units

Left face: 19 * 8 = 152 square units

Right face: 19 * 8 = 152 square units

The total surface area is the sum of the areas of all 6 faces, which is 736 square units.

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Answer:

7

Step-by-step explanation:

First, we have to find 1/3 of 27, which is the aunt's age.

27/3 is 9.

Now, since Georgia is 2 years younger, we have to subtract 2 from 9.

9-2=7

-hope it helps

Answer:

there is a 20% chance that a vase will be cracked

Step-by-step explanation:

Answer:

2/10 = 1/5 = 0.2 = 20%

Step-by-step explanation:

Answer:

Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444. or even 44.4%

Step-by-step explanation:

If we have 9 digits 1–9 placed randomly to form a 9-digit number without repetition and we want the probability of that number is divisible by 18, then we only need to look at the fact if it is divisible by 18, then it is also divisible by 2 and 9. Adding the digits 1–9 would give us the following (including checking for divisibility by 9):

(9 x 10)/2 =90/2 = 45

45÷9=5

By divisibility of 9, if the sum of the digits is divisible by 9, then the original number itself is divisible by 9. Since the number 45 is divisible by 9, we know that all the possible 9-digit numbers will be as well. The only thing we would have to look at is if it is even since the number has to be divisible by 2. 

There are 9 digits of which 4 are even (2, 4, 6 or 8).

So the probability that the number is divisible by 2 is 4/9.

Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444.

Answer: 15 DVDs

Step-by-step explanation:

C = 2D + 11

41 = 2D + 11

2D = 30

D = 15 DVDs

The steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

Given the expression 6(x-5) = 54

Expand the expression in parenthesis using the distributive law;

6x - 6(5) = 54

6x - 30 = 54

Add 30 to both sides

6x - 30 + 30 = 54 + 30

6x = 84

Divide both sides by 6

6x/6 = 84/6

x = 14

Therefore the steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

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The value of y will be 18 or 144.

Given information:

The given expression is [tex]\sqrt[3]{\frac{144}{y} }[/tex].

It is required to find the values of y which are whole numbers.

Now, factorize 144 as,

[tex]144=2\times2\times2\times2\times3\times3\\144=2^3\times2\times3\times3[/tex]

So, for the value of given expression to be a whole number, the value of y should be,

[tex]2\times3\times3=18[/tex] or 144.

For the above values of y, the given expression will be,

[tex]\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{18} }\\=\sqrt[3]{8} =2\\\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{144} }\\=\sqrt[3]{1} \\=1[/tex]

Therefore, the value of y will be 18 or 144.

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Answer:

Its B. 2

Step-by-step explanation:

Edge

Answer:

number 2

Step-by-step explanation:

An object at point A moving to point B is displaced in the direction of

r = (5i - 2j) m - (2i + j) m = (3i - 3j) m

(I assume distance is measured in meters)

If the force is F = (10 N) (3i - 4j), then the work performed by F in the direction of r is

F • r = (10 N) (3i - 4j) • (3i - 3j) m = (10 N) (9 + 12) m = 210 J

Answer:

The triangle must be an isosceles triangle so as to only get one measurement

Step-by-step explanation:

The Pythagorean theorem states that the square of the hight and base is added then square rooted to get the hypotenuse

THE FORMULA: A square+b square=c square

Answer:

-1.2°F

Step-by-step explanation:

-4.8F = 4 hours

Divide both sides by 4 to get one side to 1 hour

-4.8F/4 = 4 hours / 4

-1.2F = 1 hour

The average change in temperature each hour is -1.2°F

A division is a process of splitting a specific amount into equal parts.

Given that the outside temperature changes -4.8°F in 4 hours

We need to find the average change in temperature each hour

To find this we need to use division.

We need to divide -4.8 by 4

-4.8/4

Minus four point eight divided by 4

-1.2

Hence, the average change in temperature each hour is -1.2°F

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[tex]195 cm^{2}[/tex]

[tex] \frac{195cm{}^{2} }{4} [/tex]

[tex]48.75 {cm}^{2} [/tex]

Answer:

1500 meters / second

Step-by-step explanation:

Speed = the magnitude of distance / time

Distance = 2,100 meters

Time = 1.4 seconds

Speed = 2,100 meters / 1.4 seconds = 1500 meters / second

Answer:62

Step-by-step explanation:

2 times 5=10-5=5

8 times 7=56+7= 63-6=57+5=62!

No solution. hope this helps

Answer:

The answer is c

Step-by-step explanation:

Step-by-step explanation:

hope it will help you....

Answer: 8250

Step-by-step explanation:

Answer:

8548

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

8*5=40

45-40=5

r would be 5

Answer:

(7−2)(3)(24−11)

=(5)(3)(24−11)

=15(24−11)

=(15)(13)

=195

Step-by-step explanation:

Answer:

One Solutions I think

Step-by-step explanation:

We know the equation.

We also know the y-intercept, which is -3.

All we need to find is the slope. Once the slope is found, our equation is set.

Since the slope has been found, the equation is y = -x/2 - 3.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer: x=0

Step-by-step explanation:

The line has an undefined slope and has infinitely many solutions as it passes through the y-axis

Therefore the equation of the line is x=0

Answer:

They sold 4 more raffle tickets on monday than they did on tuesday.

Step-by-step explanation:

Answer: they sold 4 more raffle tickets on monday than tuesday.-

Step-by-step explanation:

Answer:

No Solution.

Step-by-step explanation:

3x+4y=4

12x+16y=8

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

-4(3x+4y)=-4(4)

12x+16y=8

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

-12x-16y=-16

12x+16y=8

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

0=-8

no solution

Answer:

25 hours

Step-by-step explanation:

subtract 800 from 570 to find out how much more she needs to save

divide your answer by 9.20

hope you understand

Answer: the y intercept form is y= 4x-1

Step-by-step explanation: let me know if you need to know how I got it