1. mrs perry shares out 20 biscuits between gemma and zak in the ratio 1:4. how many biscuits do they both get? 2. mr castle shares out 80 marbles beween emily and asif in the ratio 7:1. how many marbles do they each get?

3. ms adams shares out 10 pencils between niamh and jack in the ratio 2:3. how many do they each get?

Answers

Answer 1

Answer: 1. Gemma gets 4 and Zak gets 16
3. Niamh gets 4 Jack gets 6

Related Questions

please help me on this I'm struggling on this thanks for your helping of you answer.please show your work:-)
Distribute -2x\left(-10x+1\right).−2x(−10x+1)
What are the intercepts of 2x + 3y – 6z = 30?
Which of these is a point-slope equation of the line that is perpendicular to y-3=4(x-10) and passes through (-3,7)?A. y+7= -1/4(x-3)B. y-7= -1/4(x+3)C.y+7= 4(x-3)D.y-7= -4(x+3)
In 8/100 what is the percent

The regular octagon ABCDEFGH rotates 135º clockwise about its center to form octagon A′B′C′D′E′F′G′H′. Point A′ of the image coincides with point of the preimage. Point B′ of the image coincides with point of the preimage.

Answers

Answer:

The point A′ of the image coincides with point D of the preimage. The point B′ of the image coincides with point E of the preimage.

Step-by-step explanation:

It is given that regular octagon ABCDEFGH rotates 135º clockwise about its center to form octagon A′B′C′D′E′F′G′H′.

It means the central angle divided in 8 equal parts. The central angle between two consecutive vertices is

$(360)/(8)=45^(\circ)$

The regular octagon ABCDEFGH rotates 135º clockwise.

$A=F'$

$B=G'$

$C=H'$

$D=A'$

$E=B'$

$F=C'$

$G=D'$

$H=E'$

Therefore the point A′ of the image coincides with point D of the preimage. The point B′ of the image coincides with point E of the preimage.

Answer:

Point A' will coincide D and B' will coincide with E.

Step-by-step explanation:

In the figure attached we have regular octagon ABCDEFGH. It's a regular octagon means all it's sides are equal and central angle of one sector out of 8 sectors formed will be = $(360)/(8)=45$

Now this octagon is rotated about it's center to form new octagon A'B'C'D'E'F'G'H'

Since angle of rotation is 135° clockwise which means octagon is rotated by 45×3 = 3×(central angle of one sector)

After rotation clockwise new image will coincide like this

A = F'

B = G'

C = H'

D = A'

E = B'

F = C'

G = D'

H = E'

Now we can easily tell that point A' will coincide with the point D of preimage. Similarly point B' of the image will coincide with the point E.

David deposits $230 into a savings account that accrues 12% interest compounded quarterly each year. How much money will dave earn in interest after 3 years?A. $97.93

B. $99.38

C. $327.93

D. $329.38

Answers

Answer:

C. $327.93

Step-by-step explanation:

The formula for interest compounded quarterly is

A = P(1 + r/n)nt where P is the principal

r is the rate

t is the time in years

n is the compoundings per year

p =230 r= .12 t= 3 n =4 since it is quarterly

Substituting these in

A = 230 (1+ .12/4)^(3*4)

= 230(1.03)^12

=327.93

Answer:

The answer is C. $327.93

Hope this helps and have a Merry Christmas.

P.S. Could you make me brainlest? It would help SO much. Thanks!

A large bin of mixed nuts contains peanuts, cashews, almonds, and walnuts. Sheila scoops out a bowl full of nuts and counts how many of each type she has: 17 peanuts, 9 cashews, 12 almonds, and 10 walnuts. Armando scoops out a bowl of 32 nuts. About how many should he expect to be cashews?

A.
5

B.
6

C.
9

D.
18

Answers

Assuming that the ratios stay the same, the answer is going to be 6 because the total number of nuts drawn originally was 48, and 9 were cashews. To maintain this ratio when 32 nuts were drawn, the number of cashews will be 6.

Given a vector with the initial point, (4,2) and the terminal point, (-3,1), find the vector in component form.

Answers

$\bf (-3,1),(4,2)\implies <4-(-3)~,~2-1>\implies <4+3~~,~~2-1>\implies <7,1>$

Answer:

(-7,-1)

Step-by-step explanation:

(x2- x1, y2- y1)

(-3-4,1-2)

=(-7,-1)

At the start of the week, you could run for 8 minutes. By the end of the week, you could run for 15 minutes. Which proportion could you use to find the percent increase in your running time?7/15=n/100

8/7=n/100

7/8=n/100

8/15=n/100

Answers

The formula for finding percent increase is:
(Final - Initial)/Final * 100 = n
Divide both sides by 100 and you get:
(final-initial)/Final = n/100
Plug in all the numbers, and you get:
(15-8)/15 = n/100, or
7/15 = n/100

Hope this helped!! :D

The answer to this is 7/8=n/100

A company makes concrete paving stones in different sizes. Each stone has a volume of 360 inches and a height of 3 inches. the stones have different lengths and widths. how many different paving stones each with different base and a volume of of 360 cubic inches?