question number six answer

Answer:

Yes, Billy will have enough money to buy two denim shirts.

Step-by-step explanation:

£9.60 × (1/3)

= £3.20

On the special offer day, a denim shirt will cost £3.20.

£3.20×2 = £6.40

Two shirts will cost £6.40

Billy has £13, which will be enough for him to buy two shirts and will have a remaining balance of £6.60

Answer:

Blue cars, B = 63 cars

Step-by-step explanation:

Let the blue cars be B.

Let the red cars be R.

Given the following data;

Ratio of B:R = 9:7 = 9 + 7 = 16

Red cars, R = 49

To find the number of blue cars;

First of all, we would determine the total number of cars using the expression;

R = 7/16 * x = 49

7x = 49 * 16

7x = 784

x = 112 cars

Now, we can find the number of blue cars;

B = 9/16 * 112

B = 1008/16

Blue cars, B = 63 cars

Answer:

The volume of the cube is of 729 cubic meters.

Step-by-step explanation:

Volume of a cube:

The volume of a cube with edge length a is given by:

[tex]V = a^3[/tex]

In this question:

The edge length is of 9 meters, so [tex]a = 9[/tex]. The volume, in cubic meters, is:

[tex]V = a^3 = 9^3 = 729[/tex]

The volume of the cube is of 729 cubic meters.

Answer:

0.3L

Step-by-step explanation:

1000mL = 1L

300mL = 0.3L

Answer:

8

Step-by-step explanation:

By intersecting chords theorem:

[tex]14(2x + 2) = 12(2x + 5) \\ \\ 28x + 28 = 24x + 60 \\ \\ 28x - 24x = 60 - 28 \\ \\ 4x = 32 \\ \\ x = \frac{32}{4} \\ \\ x = 8[/tex]

Answer:

...

Step-by-step explanation:

1. 0.002

2. 308%

3. 2 6/10

Answer:

90

Step-by-step explanation:

When you have Triangles, you have to divide your answer by two. So first, Multiply 3 x 5, which is 15. But you need to divide by two, so 15 ÷ 2 is 7.5. Then, Multiply 7.5 x 12, and now you have 90. Hope this helps!

Answer:

Example

Step-by-step explanation:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 3 3 . The equation of a perpendicular line to y=3x−5 y = 3 x - 5 must have a slope that is the negative reciprocal of the original slope.

Answer:

–x² + 12x + 5

Step-by-step explanation:

x² + 3x

–2x² + 9x + 5

The sum of the above expression can be obtained as follow:

.... x² + 3x

+ –2x² + 9x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

–x² + 12x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5

Answer:

12

Step-by-step explanation:

Step-by-step explanation:

Total amount of cookies= 268

One bag can hold 8 cookies

268 / 8 = 33 (remainder 4)

He can make as many as 33 bags, and there are 4 cookies left over.

Answer:

1/2^7

Step-by-step explanation:

Answer:

1/2^7

Step-by-step explanation:

Answer:

4 additional days.

Step-by-step explanation:

So the total charge is $575.

It costs $355 for 1 week of use of the van.

1 week is 7 days.

It costs $55 for each extra day of use of the van.

575=55d+355

d is for the unknown extra amount of days.

subtract 355 from both sides

220=55d

divide by 55 on both sides

4=d

So, the Dakotas used the van for 4 additional days. So in total the used the van for 4+7 days.

4+7=11 total days.

But the answer to the question is 4 days, because it specifically ask for additional days.

Answer:

1,467.6 cm³

Step-by-step explanation:

Volume of the solid = volume of the rectangular prism - volume of the cylinder

= L*W*H - πr²h

L = 12

W = 10

H = 16

r = ½(6) = 3

h = 16

Plug in the values

Volume of the solid = 12*10*16 - π*3²*16

= 1,920 - 452.40

= 1,467.6 cm³

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

It might help to draw a triangle to represent what's going on. See the diagram below.

Let's call the triangle ABC. We'll place point A at the 90 degree angle, so it's at the base of the tower. Place point B where the knight is located. Point C is the location of the window in the tower.

The knight is 15 feet away from the base, meaning AB = 15. With respect to the reference angle (B = 60), side AB = 15 is the adjacent side. The length of the ladder BC is the unknown hypotenuse. We'll call this x for now.

We'll use the cosine rule to connect the adjacent and hypotenuse.

cos(angle) = adjacent/hypotenuse

cos(B) = AB/BC

cos(60) = 15/x

x*cos(60) = 15

x = 15/cos(60)

x = 30

Your calculator needs to be in degree mode.

Because x = 30, we conclude that the ladder needs to be BC = 30 feet long.

Side note: For any special 30-60-90 right triangle, the hypotenuse is always twice as long compared to the shorter leg.

Answer:

18/26

16/26

16/26

18/26

Step-by-step explanation:

Answer:

C) y = (5^x)/2

Step-by-step explanation:

Answer:

a circle is 2d and a cone is 3d and a cone has a circle on the bottom

Step-by-step explanation:

Answer:

N=21 Degrees M=122 Degrees L= 37 Degrees X=21 Degrees

Step-by-step explanation:

Add all them up then make them equal 180 degrees

9x-9 = 180

Solve

9x=180 +9

9x= 189

9x/9= 189/9

x=21

Then plug in x to find each Angle.

N (x) Degrees

N=21 Degrees

M = 6x - 4

M = 6(21) - 4

M = 126 - 4

M = 122 Degrees

L = 2x - 5

L = 2(21) -5

L = 42 - 5

L = 37 Degrees

Answer:

(-6, 6)

Step-by-step explanation:

Answer:

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Step-by-step explanation:

Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.

First six not defective, each with 0.98 probability.

7th defective, with 0.02 probability. So

[tex]p = (0.98)^6*0.02 = 0.0177[/tex]

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

Find the expected number and variance of the number of components tested before a defective component is found.

Inverse binomial distribution, with [tex]p = 0.02[/tex]

Expected number before 1 defective(n = 1). So

[tex]E = \frac{n}{p} = \frac{1}{0.02} = 50[/tex]

Variance is:

[tex]V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208[/tex]

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Answer:

The total cost was $182.91.

Step-by-step explanation:

Tax formula:

tax=tax percentage×amount

Tip formula:

tip=tip percentage×amount

solve

First find the tax. Write 14% as the decimal 0.14 before using it in the equation.

tax

= tax percentage×amount

= 0.14×136.50

= 19.11

The tax was $19.11.

Now find the tip. Write 20% as the decimal 0.20 before using it in the equation.

tip

= tip percentage×amount

= 0.20×136.50

= 27.3

The tip was $27.30.

Finally, find the total cost.

total cost

= cost + tax+tip

= 136.50+19.11+27.30

= 182.91

Answer:

182.91

Step-by-step explanation:

Answer:

E. 3×3×3×3

part b:

3×3×3×3

9×9

81

Answer:

0.9759%

Step-by-step explanation:

26500 = 25000x^6

solve for x

x = 1.009759

This means it increases by 0.009759 which is 0.9759%

Answer: 125.6

Step-by-step explanation:

Answer:

B. 5

Step-by-step explanation:

Given expression;

n(n - x) = 25

From the given expression, x = 0

Substitute the value of x into the given equation  and solve for n;

n(n - 0) = 25

this equation reduces to;

n(n) = 25

simplifying further to obtain the value of n;

n² = 25

n = √25

n = 5

Therefore, the correct option is  B.