hiii please help i’ll give brainliest:)

Answer:

The mistake McGill made was to eliminate 4 and 16 from both sides before solving fro x

Step-by-step explanation:

Given the expression

42x = 163

To get the values of x, we are to divide both sides by the coefficient of x i.e 42 as shown;

42x = 163

42x/42 = 163/42

x = 163/42

x = 3.88

Hence the mistake McGill made was to eliminate 4 and 16 from both sides before solving fro x

Answer:

The number of nickels is 47

Step-by-step explanation:

1 nickel is 5 cents while 1 quarter is 25 cents

let the number of nickels be n and the number of quarters be q

From the question;

the number of nickels n is 8 more than half the number of quarters (q/2)

n = q/2 + 8

(n-8) = q/2

q = 2(n-8) = 2n - 16 ••••(i)

let us convert $21.85 to cents

there are 100 cents in $1

Thus; $21.85 will be 21.85 * 100 = 2185 cents

1 nickel is 5 cents; so n nickels will be 5 * n = 5n cents

1 quarter is 25 cents; so q quarters will be 25 * q = 25q cents

The addition of both will give 2185 cents

Thus;

5n + 25q = 2185 ••••••(ii)

Substitute equation i into ii

5n + 25(2n-16) = 2185

5n + 50n - 400 = 2185

55n = 2185 + 400

55n = 2,585

n = 2,585/55

n = 47 nickels

Answer:

Volume of the shaded space = 4480.0 yd³

Step-by-step explanation:

Volume of the shaded space = Volume of cuboid - Volume of Pyramid placed inside

Volume of cuboid = Length × Width × Height

                              = 28 × 12 × 20

                              = 6720 yd³

Volume of pyramid = [tex]\frac{1}{3}(\text{Area of the base})(\text{Height})[/tex]

                                = [tex]\frac{1}{3}(28\times 12)(20)[/tex]

                                = 2240 yd³

Volume of the shaded space = 6720 - 2240

                                                  = 4480.0 yd³

Answer:

8cm

Step-by-step explanation:

let x = width

x^2+6x-112=0

we would solve this using the factorization method

the factors of -112x^2 that would add up to 6x are 14x  8x

x^2 - 8x + 14x - 112 = 0

factorise

x(x - 8) + 14(x - 8) = 0

x+ 14 = 0

x - 8 = 0

x = 8

the width is 8cm

x = -14

Answer:

89 degrees

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

180 - 91 = 89

Answer:

-9n - 3

Step-by-step explanation:

Answer:

3 qt

Step-by-step explanation:

Let's stick to one unit to facilitate things. I'm going to use quarts as the unit.

1 gal = 4 qt

Initial value = 3 gal 2 qt = 14 qt

Change = 2 gal 3 qt = 11 qt

14 qt - 11 qt = 3 qt

Answer:

-8 and 9

Step-by-step explanation:

-8 x 9  = -72

and  -8 + 9 = 1

Answer:

Area of rectangle= 24 × 7 = 168

Area of trapezium = ((a+b)/2)h = 74

Total area = 168 + 74 = 242

Answer:

242in^2

Step-by-step explanation:

Area of parallelogram is

1/2(a+b)×h

a=13in

b=24in

h=4in

= 1/2(13+24)×4

=1/2(37)×4

so the area of the parallelogram is

=74in^2

Area of rectangle is

L×B

L=24in

B=7in

=24×7

=168in^2

so the area will be the sum of the area of parallelogram and rectangle

=74in^2+ 168in^2

=242in^2

Answer:

6 -> 4/10

7 -> s √144 in

8 -> 0.4

9 -> s = ∛999 in

10 -> d = 3

Answer:

Hope this helps!!

Step-by-step explanation:

Answer:

The y-intercept is when the X is 0 And the y is whatever number it is. So in order to do that we need to find the pattern first and to do that we need to find the slope.

The slope here is 2/ 2 or 1.

So you add 1 to each side to find the next ordered pairs.

-5, -7

-4, -6

-3, -5

-2, -4

-1, -3

0, -2

So the y-intercept is -2.

Answer:

AFB + BAF and CED + CDE

Step-by-step explanation:

complementary angles are two angles that add up to 90°

62 and 28 add up to 90

50 and 40 add up to 90

Answer:

Step-by-step explanation:

Answer:

1. 93 m is the length of the rectangular garden.

2. The width of the window is 72 cm.

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

Attached is a chart showing the 36 possible outcomes for rolling 2 number cubes.  The sum of the two cubes is 12 in only one of the outcomes (both sixes).  The probability is 1/36.

The horizontal distance d that the top of the tower is off vertical is equal to the 190.32feet.

We have given that,

The leaning tower of Pisa in Italy has a height of 183 feet and is 4∘ off vertical.

We have to determine the horizontal distance d that the top of the tower is off vertical. round your answer to the nearest tenth of a foot.

The horizontal displacement of a projectile depends upon the initial horizontal speed and the time of travel. The vertical displacement of a projectile.

The horizontal distance d that the top of the tower is off vertical.

183 times 1.04=190.32.

Therefore the horizontal distance d that the top of the tower is off vertical is equal to the 190.32feet.

To learn more about the horizontal distance visit:

https://brainly.com/question/25870256

#SPJ2

Answer:

[tex]f(x)=-x^2-4x+21[/tex]

Step-by-step explanation:

The given equation is :

f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21.

We need to rewrite this equation in faceted format.

The general form of a quadratic equation is given by :

[tex]f(x)=ax^2+bx+c[/tex]

We have,

a = -1, b = -4 and c = 21

Substitute all the values,

[tex]f(x)=-x^2-4x+21[/tex]

So, the required equation is equal to [tex]f(x)=-x^2-4x+21[/tex].

Answer:

5+10=15

15×4÷2

60÷2

=30

Answer:

2, 3, 4, and 5

Step-by-step explanation:

Class A and Class B's distributions overlap for the values of 2, 3, 4, and 5. This can be seen in the dot plot below since all of these values have inputs on both of the class' distributions. Values 0 and 1 are not included because they only have inputs for Class A, while values 6 and 7 are not included because they only have inputs for Class B. In order for the values to overlap they need to be included in both class distributions.

Answer:

2,3,4,5

Step-by-step explanation:

Class A and Class B distribution overlap at 2,3,4 and 5 because if you look at both graphs you can see how they both overlap each other.

Answer:

0.481

Step-by-step explanation:

P(A U B) = P(A) + P(B) - P(A∩B)

              = 0.3 + 0.43 - 0.249

              = 0.73 - 0.249

              = 0.481

Answer:

Volume of composit figure= 4834.14 cm^3

Step-by-step explanation:

here's your solution

=> Radius of hemisphere = 9 cm

==> volume of hemisphere = 2/3πr^3

==> volume of hemisphere = 2/3*22/7* 9^3

==> volume = 1526.04 cm^3

=> Radius of cylinder = 9 cm

=> Height of cylinder = 13 cm

==> volume of cylinder = πr^2h

==> volume of cylinder = 22/7*9^2*13

==> volume of cylinder = 3,308.1 cm^3

Volume of composit figure = 1526.04 + 3308.1

= 4834.14 cm^3

hope it helps

Answer: 180 miles

Step-by-step explanation:

From the question, we should note that the distance taken will be calculated by using the formula which will be:

Distance = Rate × Time

where,

Rate = 60 miles per hour

Time = 3 hours

Distance = 60 × 3

Distance = 180 miles

Therefore, the distance travelled is 180 miles.

Answer:

484 yd squared.

Step-by-step explanation:

Since all the sides ars the same length, you multiply 22 by 22 and get 484. Hope this helps sorry if im incorrect.

Answer:

36

Step-by-step explanation:

Answer:

The surface area is 13.08 and the volume is 3.14

Step-by-step explanation:

Answer:

D. 84 ft^2

Step-by-step explanation:

Formula for area of a trapezoid:

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

The trapezoid shown has the following dimensions

base 1 = 9ft

base 2 = 12ft

height = 8ft

Using the following information we plug in the values into the formula

[tex]A=\frac{9+12}{2} \\9+12=21\\\frac{21}{2} =10.5\\10.5*8=84[/tex]

Hence, the area of the trapezoid is 84ft² and your answer is D

Answer:

21/60 (simplified = 7/20)

Step-by-step explanation: