4. Factor (2a – b)^2- 4a^2

Answer:

I think its 90 but im not sure.

Step-by-step explanation:

Final answer:

To find the total amount won by Pip and Sara, a ratio problem was solved by establishing an equation from the given ratio 7:3 and the fact that Pip gets £36 more than Sara, resulting in a total amount of £90.

Explanation:

The question involves solving a problem based on a ratio and determining the total amount of money shared by Pip and Sara. The ratio in which Pip and Sara share the money is 7:3, and since Pip gets £36 more than Sara, we can set up equations to find the individual and total amounts.

Let's denote Sara's share as S, hence Pip's share will be S + £36.

According to the ratio given, Pip's share to Sara's share is 7 to 3, so we can write the equation:

7S = 3(S + 36)

7S = 3S + 108

4S = 108

S = 27

So Pip's share is £27 + £36 = £63.

Adding both shares, the total amount is £63 + £27 = £90.

Therefore, Pip and Sara got £90 altogether.

2. There are 14 rollercoasters at the amusement park. There are 2 rollercoasters made of steel, 6 of them are made of steel and have loops, 4 of them have loops but aren't made of steel and there are 2 rollercoasters with no loops and aren't made of steel.

4. 60% of rollercoasters with loops are made of steel. 40% of rollercoaster with loops are not made of steel. 50% of rollercoasters made of steel have no loops and 50% of rollercoasters not made of steel don't have loops.

6. 75% of rollercoasters are made of steel either have loops or no loops.

25% of rollercoasters not made of steel either have loops or no loops.

This was quite a lot to do, I'm pretty sure the relative frequency graph number 3 had me a bit confused.

Answer:

The volume of ice cream cone is 66 cubic inch.

Step-by-step explanation:

Diameter of ice cream cone is 6 inches

Height of the cone is 7 inches

The volume of a cone shaped object is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Substituting all the values in above formula as:

[tex]V=\dfrac{1}{3}\times \dfrac{22}{7}\times 3^2\times 7\\\\V=66\ \text{inches}^3[/tex]

So, the volume of ice cream cone is 66 cubic inch.

Answer:

66

Step-by-step explanation:

Answer:

limit does not exist

Step-by-step explanation:

From the left: f(x) = x + 10 (for x < 8), as x --> 8, f(x) --> 18

From the right: f(x) = 10 - x (for x >= 8), as x --> 8, f(x) --> 2

Since the limits on either side do not converge to the same point, the limit does not exist

Answer:

a = 3/2 b​

Step-by-step explanation:

7a - 2b =5a + b​

Subtract 5a from each side

7a-5a - 2b =5a-5a + b

2a -2b = b

Add 2b to each side

2a-2b+2b = b+2b

2a = 3b

Divide each side by 2

2a/2 = 3b/2

a = 3/2 b​

Answer:

The set of points in a plane that are equidistant from a given point create a circle.

Hope this helps!

:)

Answer: 5:8

Step-by-step explanation:

By reducing both sides equally, the ending answer is 5:8

(There can be many answers to your question but the one i told you is the most reduced one)

Answer:

10 : 13

Step-by-step explanation:you can find equivalent ratios by dividing or multiplying both the ratios by the same number.

eg 30 : 48 can be divided by 3 which gives 10:16

Hope it is clear,Thank you

Answer:

Ariana

Step-by-step explanation:

560 is 93.33 percent of 600 and 825 is 94.29 percent of 875.

The required, Imani has a larger percent increase in their rent.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here,
Imani’s rent increased from $560 per month to $600 per month.
percentage increase in Imani’s rent  = 600 - 560 / 560 × 100%
                                                        = 7.14%

Ariana's rent increased from $825 per month to $875 per month.
percentage increase in Ariana's rent  = 875 - 825 / 875 × 100%
                                                        = 5.71%

Thus, the required, Imani has a larger percent increase in their rent.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5

Look at the attached picture

Hope it will be helpful to you

Answer:

well it would be 9 over 14 hope this helps

Step-by-step explanation:

Answer:

Yes, the sides are in the ratio 2:5.

Step-by-step explanation:

All sides divided by each congruent side are = to .4 and 2/5 is = to 4/10

The sides of triangles are not proportional, thus the triangle is not similar triangle.

Triangle is "a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees".

If the ratio of the "sides of the triangles ΔABC and ΔDEF are equal then the triangles are similar triangles".

According to the question,

In ΔRST and ΔWXU are similar triangle if ∠R = ∠W; ∠S = ∠W; ∠T=∠U

then   [tex]\frac{RS}{WX} = \frac{ST}{XU}[/tex] .

In ΔRST, side RS is 3 centimeters, side ST is 6 centimeters, and side RT is 6.4 centimeters. In ΔWXU, Side WX is 16 centimeters, side XU is 7.5 centimeters, and side WU is 15 centimeters.

[tex]\frac{3}{16} = \frac{6}{7.5} = \frac{6.4}{15}[/tex]  

Hence, the sides are not proportional then the triangle is not similar triangle.

Learn more about similar triangles here

https://brainly.com/question/27609371

#SPJ2

Answer:

Cube root of 1446

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]. Therefore, if we divide 1928pi by 4/3pi and then take the cube root, you will find the radius. In this case, 1928pi/(4pi/3)=1446, meaning that the radius is the cube root of 1446. Hope this helps!

The formula for the volume of a sphere is 4/3 the product of π and the cube of the radius of the sphere.

Therefore, if we're working backwards, we can start by multiplying 1928 by 4/3.

1928 x (4/3) = 2570.66666667

From there, we can find the cube root to find our radius.

(cube root) of 2570.6666667 = 13.698781

Therefore, the radius of the circle is 13.698781, or about 13.7.

Hope this helps! :)

Answer:

Step-by-step explanation:

Given a ramp with a one-meter distance from edge to edge and reaches a height of 0.643 meters, the equivalent set up will form a right angled triangle where the length of the ramp will be the hypotenuse of the triangle and its height will be the opposite side of the triangle facing the acute angle directly.

To get the value of the acute angle, we will use the trigonometry ratio known as SOH, CAH, TOA.

Given length of ramp = hypotenuse = 1m

Height =Opposite side = 0.643m

Using SOH;

sin[tex]\theta\\[/tex] = [tex]\frac{opp}{hyp}[/tex]

sin[tex]\theta[/tex] = 0.643/1

sin[tex]\theta[/tex] = 0.643

[tex]\theta[/tex] =sin⁻¹0.643

[tex]\theta[/tex] = 40°

The value of the acute angle is 40°

Answer:

≈7.48, exact would be 7.48331477355

Step-by-step explanation:

Pythagorean Theorem

c is the hypotenuse (longest side)

a and b are interchangeable

a^2 + b^2 = c^2

3^2 + 7^2 = c^2

(9 + 47 = 56)

56= c^2

[tex]\sqrt{56}[/tex] = c

7.48 ≈ c

hope this helps :)

Final answer:

The probability that the first two names chosen will both be girls from a hat that contains the names of nine boys and six girls is 1/7.

Explanation:

The question involves determining the probability of selecting two girls' names from a hat that contains the names of nine boys and six girls. We are dealing with a situation of probability without replacement, which means that once a name is drawn, it is not put back into the hat.

To calculate the probability of the first name drawn being a girl, we have 6 girls out of the total 15 students, which gives us a probability of 6/15. If a girl's name is drawn first, there will then be 5 girls' names left and 14 names total. So, the probability of the second name drawn being a girl as well is then 5/14.

To find the overall probability of both events happening, we multiply the two probabilities together: (6/15)
x (5/14) = 30/210 = 1/7. Therefore, the probability that the first two names chosen will both be girls is 1/7.

Answer:

C. Symmetrical without outliers

Step-by-step explanation:

It's talking about BOTH and how they compare. :)

Answer:

C

Step-by-step explanation:

Sorry  i'm late

Anyway i wish you have a good day!

:)

Answer:

$346.00

Step-by-step explanation:

We know that the price to take a plane to the Island of Mysteries is $600 and the price to take a boat is $254.

To find how much money they will save if they were to take a boat, you would subtract the cost of the boat ride from the plane ride to find the difference.

$600 - $254 = $346.00

Answer:

Greater by about 50 bacteria

Step-by-step explanation:

Greater by about 50 bacteria

Answer:

Greater by about 50 bacteria

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Mercury Venus and earth together would be greater than the distance from Neptune to the sun  neptune is 2.759 billion miles away from the sun and the three others combined are 196.18 million miles away from the sun.

Answer:

25

Step-by-step explanation:

25 bc it is the largest number than can go both into 50 and 75

Answer:

GCF =25

Step-by-step explanation:

The prime factorization of 50 is: 2 x 5 x 5.

The prime factorization of 75 is: 3 x 5 x 5.

The prime factors in multiplicities 50 and 75 have in common are 5 x 5.

5 x 5 is the GCF of 50 and 75.

I hope this helps!! :]

Answer:

first option is the answer

hope it helps.you

sorry for giving wrong answer last time

Answer:

y^3

Step-by-step explanation:

sqrt(y^3) * sqrt(y^3)

We know that sqrt(a) sqrt(b) = sqrt(ab)

sqrt(y^6)

y^3  since we know that y≥0

Answer:

17

Step-by-step explanation:

average per minute is 3, and you need 50, so 3x?=50

to know "?" we change how the question is, so it ends 50/3=?

50/3= 16.6666666667 and the closest is 17

Answer: [tex]x=6[/tex]

Subtract 2x from both sides

[tex]8x-72-2x=2x-36-2x\\6x-72=-36[/tex]

Add 72 to both sides

[tex]6x-72+72=-36+72\\6x=36[/tex]

Divide both sides by 6

[tex]6x/6=36/6\\x=6[/tex]

Answer:

x=6

Step-by-step explanation:

first thing first you always need to get x alone and since you have an X on both side we need to move one of them to the same side as the other one.

8x-72=2x-36

add 72 on both sides ( the opposite of subtracting is adding)

8x=2x-36+72  

8x=2x+36

then we subtract 2x on both sides to get X alone

8x-2x=36

6x=36

then we divide 36 by 6 to get our answer for x

X= 6

and that's your answer, hope this helped

Answer:

14 maybe

Step-by-step explanation:

Answer:

The answer is 12 minutes.

Step-by-step explanation:

It is given that the cost of one minute is $0.18. Firstly, you have to substract the remaing credits from her original credits :

$30 - $27.84 = $2.16

We have found out that she uses $2.16 for her long distance call. Next, you have to divide 18 cents from the uses in order to find out how many minutes she use :

[tex]1 \: min = 0.18dollar[/tex]

[tex]x \: mins = 2.16dollars[/tex]

[tex]x = 2.16 \div 0.18[/tex]

[tex]x = 12 \: mins[/tex]

Answer: There will be $2951.52 money in the account in 15 years

Step-by-step explanation:

Given: Principal ; P = $1200

Interest rate;r  = 6% compounded continuously

Time; t  = 15 years

As we know the compounded continuously formula is given by

[tex]A= Pe^{rt}[/tex] where A is amount , P is principal , r is rate, t is time and e be the mathematical constant.

So according to question we have

[tex]A= 1200 e^{0.06 \times 15} = 1200 e^{0.9} \approx 2951.52[/tex]

Hence, there will be $2951.52 money in the account in 15 years

Answer: The 1st one is 0.5%

The 2nd one is 0.25%

Step-by-step explanation:

Answers:

1.) -y+9z-16y-25z  =   -17y-16z

2.) 6x +3y-y+2+2  =   6x+2y+4

3.) 9b + 5(b - 4) + 15  =   14b-5

4.) -4(3x + 5) + 10x + 1  =   -2x-19

5.) 0.5(y + 4) + 18y - 9  =   18.5y-7

6.) -0.7r+9(-r-15)  =    -9.7r-135

Answer:

x= ?

Step-by-step explanation:

Answer:

depends on the equation u didnt give us

Step-by-step explanation: