Decrease £2123 by 8%
Give your answer rounded to 2 DP.

Answer:

3x+2x+a=180 degree(being linear pair)

5x+25=180

5x=180-25

x=155/5

x=31

Step-by-step explanation:

Answer:

5

-7

36

Step-by-step explanation:

if the center is (5,-7) the first part must look like

(x-5)²+(y+7)²

to find the raidus plug in 5 for x and -1 for y

(5-5)²+(-1+7)²

0²+6²=36

36

Answer:

[tex]\text{C. }156\:\mathrm{cm^3}[/tex]

Step-by-step explanation:

The surface area of the triangular prism consists of three rectangles and two triangles.

Rectangle One - 5 x 12 = 60 cm^2

Rectangle Two - 4 x 12 = 48 cm^2

Rectangle Three - 3 x 12 = 36 cm^2

Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2

Thus, the total surface area of the solid is [tex]60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}[/tex]

Answer:

The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.5}{\sqrt{20}} = 1.53[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is S - 1.53.

The upper end of the interval is the sample mean added to M. So it is S + 1.53.

The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.

Answer:

4

Step-by-step explanation:

Answer:

They both have pie in the formula

Step-by-step explanation:

Answer:

Circumference is the distance around a circle, or the perimeter. Area is the space inside the circle. Area has square units, circumference does not. They both have π in the formula.

Answer:

Hello There!!

Step-by-step explanation:

The answer is=>The sum is x + y = 65

The difference is x - y = 7 .....x = 7 + y

7 + y + y = 65

7 + 2y = 65

2y = 58

y = 29

x + y = 65

x + 29 = 65

X = 36

The Sum: 36 + 29 = 65

The Difference: 36 - 29 = 7

hope this helps,have a great day!!

~Pinky~

Answer:

36 and 29

Step-by-step explanation:

The sum of the two numbers is 65 and their difference is 7. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:

x + y = 65

The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:

x - y = 7

Now solve equation B for x to get the revised equation B:

x - y = 7

x = 7 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 65

7 + y + y = 65

7 + 2y = 65

2y = 58

y = 29

Now we know y is 29. This means that we can substitute y for 29 in equation A and solve for x:

x + y = 65

x + 29 = 65

X = 36

Summary: The sum of two numbers is 65 and their difference is 7. What are the two numbers? Answer: 36 and 29 as proven here:

Sum: 36 + 29 = 65

Difference: 36 - 29 = 7

Answer:

B. 1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

add all the values 10+14+6=30 since red is 10 divide 10 by 30 so 10/30 simplifying to 1/3.

Answer:

8^3−24^2+24−8

Step-by-step explanation:

If you search the equation up it tells you the answer is 8^3−24^2+24−8 and shows you the steps. (I’m sorry. I just didn’t have the patience to write out all the steps.)

Answer:

A. tan 38° = opposite/adjacent

opposite = (tan 38°)(adjacent)

opposite = (0.31)(17 ft)

opposite = 5.27 ft

B. height is = 5.27 ft

The models the height of the building is y = 17 tanθ and if θ=38° then the height is 13.28 feet

A mathematical model is a linguistic and mathematical concepts-based description of a system. Mathematic modeling is the process of creating a mathematical model.

(A) Give the building and is shadow is 17 feet and make θ.

then the relation is tanθ =y/17

So y = 17 tanθ

(B) If the is angle is 38°

then

tan38° =y/17

0.7813 = y/17

        y = 13.28 feet

Hence the model is tanθ and when the angle is 38° the value of y is 13.28 feet.

Learn more about the model here- brainly.com/question/24448358

#SPJ2.

Answer:

D) No Solution.

Step-by-step explanation:

7-4x=2+x+6-5x

7-4x=8+x-5x

7-4x=8-4x

7-8-4x=-4x

-1-4x=-4x

-1=-4x+4x

-1=0

no solution

Answer:

Option A. –2 – 2√2

Step-by-step explanation:

√8 / √2 – 2

The above expression can be simplified as follow.

√8 / (√2 – 2)

Rationalise by multiplying the numerator and denominator with the conjugate of (√2 – 2) i.e (√2 + 2). This is illustrated below:

√8 / (√2 – 2) × (√2 + 2)/(√2 + 2)

√8(√2 + 2) / (√2 – 2)(√2 + 2)

√16 + 2√8 / 2 + 2√2 – 2√2 – 4

√16 + 2√8 / 2 – 4

√16 + 2√8 / –2

Recall

√16 = 4

√8 = √(4×2) = √4 × √2 = 2√2

Thus,

√16 + 2√8 / –2 = 4 + 2×2√2 / –2

= (4 + 4√2) / –2

= 4/–2 + 4√2/–2

= –2 – 2√2

Therefore,

√8 / (√2 – 2) = –2 – 2√2

Thus, option A gives the correct answer to the question.

Answer:

a) The student's overall average for the class is 87.97.

b) He would need a score above 100 to get an A, which means that he could not have scored high enough on the final exam to get an A in the class.

Step-by-step explanation:

Weighed average:

To solve this question, we find the student's weighed average, multiplying each of his grade by his weights.

Grades and weights:

Scored 82.5 on the midterm, worth 30%.

Scored 88.6 on the final exam, worth 30%.

Scored 91.6 on the homework, worth 40%.

a. On a 100-point scale, what is the student's overall average for the class?

Multiplying each grade by it's weight:

[tex]A = 82.5*0.3 + 88.6*0.3 + 91.6*0.4 = 87.97[/tex]

The student's overall average for the class is 87.97.

b. The student was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get an A in the class?

Score of x on the final class, and verify that the average could be 93.5 or higher. So

[tex]A = 82.5*0.3 + 88.6*0.3 + 0.4x[/tex]

[tex]A \geq 93.5[/tex]

[tex]82.5*0.3 + 88.6*0.3 + 0.4x \geq 93.5[/tex]

[tex]0.4x \geq 93.5 - (82.5*0.3 + 88.6*0.3)[/tex]

[tex]x \geq \frac{93.5 - (82.5*0.3 + 88.6*0.3)}{0.4}[/tex]

[tex]x \geq 105.425[/tex]

He would need a score above 100 to get an A, which means that he could not have scored high enough on the final exam to get an A in the class.

Answer:

see below

Step-by-step explanation:  5 20 21 02

There are 5 areas to calculate

Top  = LW          =  (20)(17)

Bottom  = LW    =  (20)(15)

Back  = LW        =  (20)(8)

2 Triangular Ends  = One square    = LW     =  (8)(15)

Total Surface Area = (20)(17) +  (20)(15) + (20)(8) +  (8)(15)

                  = (20)(17 + 15 + 8) +  (8)(15)

                  = (20)(40) + (8)(15)

                  =  800  +  120

                  =   920 ft²

Answer:

Mean = 4.7

Mode = 5

Median = 5

Step-by-step explanation:

Mean = Σfx / Σf

Σfx = (3*4) + (4*5) + (5*7) + (6*2) + (7*2) = 93

Σf = (4+5+7+2+2) = 20

Mean = 93 / 20

= 4.65

= 4.7

Mode = highest occurring = vlaue with highest frequency = 5

Median :

20 / 2 = 10

Value corresponding to the 10th term = 5

Answer:

12.8

Step-by-step explanation:

Answer:

1.05

Step-by-step explanation:

Answer: $1.05

Step-by-step explanation:

I think this answer is correct because, all we have to do here is divide 4.20 by 4 (because there is 4 friends and they each get an equal amount.) So 4.20 divided by 4 equals 1.05.

Hope This Helps!

Answer:12

Step-by-step explanation:just know i did it and got it right

Answer:

x+y=28. 70x+140y=3360. 8 cats, 20 dogs were sold.

Step-by-step explanation:

hope it helps :)

Answer:

Ha ha ha ha ha

Yo, I'll tell you what I want, what I really, really want

So tell me what you want, what you really, really want

I'll tell you what I want, what I really, really want

So tell me what you want, what you really, really want

I wanna, (ha) I wanna, (ha) I wanna, (ha) I wanna, (ha)

I wanna really, really, really wanna zigazig ah

If you want my future, forget my past

If you wanna get with me, better make it fast

Now don't go wasting my precious time

Get your act together we could be just fine

I'll tell you what I want, what I really, really want

So tell me what you want, what you really, really want

I wanna, (ha) I wanna, (ha) I wanna, (ha) I wanna, (ha)

I wanna really, really, really wanna zigazig ah

If you wanna be my lover, you gotta get with my friends

(Gotta get with my friends)

Make it last forever, friendship never ends

If you wanna be my lover, you have got to give

Taking is too easy, but that's the way it is

Oh, what do you think about that

Now you know how I feel

Say, you can handle my love, are you for real

(Are you for real)

I won't be hasty, I'll give you a try

If you really bug me then I'll say goodbye

Yo I'll tell you what I want, what I really, really want

So tell me what you want, what you really, really want

I wanna, (ha) I wanna, (ha) I wanna, (ha) I wanna, (ha)

I wanna really, really, really wanna zigazig ah

If you wanna be my lover, you gotta get with my friends

(Gotta get with my friends)

Make it last forever, friendship never ends

If you wanna be my lover, you have got to give

(You've got to give)

Taking is too easy, but that's the way it is

So, here's a story from A to Z

You wanna get with me, you gotta listen carefully

We got Em in the place who likes it in your face

You got G like MC who likes it on a

Easy V doesn't come for free, she's a real lady

And as for me, ha you'll see

Slam your body down and wind it all around

Slam your body down and wind it all around

If you wanna be my lover, you gotta get with my friends

(Gotta get with my friends)

Make it last forever, friendship never ends

If you wanna be my lover, you have got to give

(You've got to give)

Taking is too easy, but that's the way it is

If you wanna be my lover

You gotta, you gotta, you gotta, you gotta, you gotta

Slam, slam, slam, slam (make it last forever)

Slam your body down and wind it all around

Slam your body down and wind it all around

Ha, ha, ha, ha, ha

Slam your body down and wind it all around

Slam your body down and zigazig ah

If you wanna be my love

Step-by-step explanation:

Answer:

[tex]volume \ of \ sphere = \frac{4}{3} \pi r^3 \\\\1 =\frac{4}{3} \pi r^3\\\\r^ 3 = \frac{3}{4\pi} \\\\r = (\frac{3}{4\pi })^{\frac{1}{3} } \\\\r = 0.62ft\\\\diameter = 2 * 0.62 = 1.24ft[/tex]

Answer:

1.24 ft

Step-by-step explanation:

the volume of sphere = 4/3π.r³ = 1

=> r³ = 3/(4π)= 3/(12.56) = 0.239

r = ³√0.239

r = 0.62

d = 2×0.62 = 1.24 ft

Answer:

ok

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

add 5 and 10 makes 14

minus 5 from 15

multiply 10 and 4 and add to 15 to get 40

subtract 45 from 40 and get -5

Answer:

Step-by-step explanation:

B?

Answer:

B median

Step-by-step explanation:

The median is the center of any data set

Answer:

Infinite solutions

Step-by-step explanation:

2x -1 = x + x -1

2x=x+x

2x=2x

Answer:

Answer is b

Step-by-step explanation: