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3 years ago

An ice-cream store sold 70 sundaes. The ratio of

Mathematics

1 answer:

elixir [45]3 years ago

3 0

Answer:

30 strawberry sundaes.

Step-by-step explanation:

We know there is a total of 70 sundaes.

3 sundaes will be strawberry.

4 sundaes will be choclate.

When you add 3 and 4 together, you get 7. This is your total ratio.

So 3/7 of the sundaes are strawberry.

And 4/7 of sundaes are choclate.

We know there is a total of 70 sundaes.

The total ratio we figured out is 7.

If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.

This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.

3*10=30

4*10=40

So there are 30 strawberry sundaes and 40 choclate sundaes.

We need to find the strawberry sundae amount, so the answer is 30.

Hope this helps!

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ABCD diagonals intersect at E. If m∠BAC=4x+5 and m∠CAD=5x-14, then find m∠CAD.

Travka [436]

Answer: m∠CAD = 81°

Step-by-step explanation: Diagonal is a line that unites opposite sides.

ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.

The figure below shows ABCD with its diagonals.

Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So

m∠BAC = m∠CAD

4x + 5 = 5x - 14

x = 19

Then, m∠CAD is

m∠CAD = 5(19) - 14

m∠CAD = 81

The angle m∠CAD is 81°.

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3 years ago

What is the middle term of the product of (5a - 7)(2a - 1)?

rodikova [14]

(5a-7) (2a-1) = -19a

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3 years ago

Can someone please help me! Big ideas 8.4 number 20

Harlamova29_29 [7]

Answer: The perimeter is about 20.26 units

Step-by-step explanation:

To calculate the distance between the points, we use the formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

where,

d = distance

$x_2\text{ and }x_1$ are the coordinates of the points on x-axis

$y_2\text{ and }y_1$ are the coordinates of the points on y-axis

For the given points:

B(0,3), C(4,-1), E(2,-3) and F(-2,1)

Calculating the distance BC:

$x_2=4\\x_1=0\\y_2=-1\\y_1=3$

Putting values in above equation, we get:

$BC=\sqrt{(4-(0))^2+(-1-3)^2}\\\\d=\sqrt{16+16}=5.66units$

Calculating the distance CE:

$x_2=2\\x_1=4\\y_2=-3\\y_1=-1$

Putting values in above equation, we get:

$CE=\sqrt{(2-(4))^2+(-3-(-1))^2}\\\\d=\sqrt{36+4}=4.47units$

To calculate the perimeter of a rectangle, we use the equation:

$Perimeter=2(l+b)$ ....(1)

where,

l = length of the rectangle = BC = 5.66 units

b = breadth of the rectangle = CE = 4.47 units

Putting values in equation 1, we get:

$Perimeter=2(5.66+4.47)\\\\Perimeter=20.26 units$

Hence, the perimeter is about 20.26 units

7 0

3 years ago

A loan if 12 000 was borrowed from a bank at 14% per annum calculate the total amount owning at the first year

Advocard [28]

Answer: P = $ 12000

r = 14%

t = 1 (for first year)

I = (P X r X t)/100

∴ I = (12000 X 14 X 1)/100

= 120 X 14

= $ 1680 <---------- (Interest on loan at the end of first year)

∴ Total amount owing at the end of first year = (P + I)

= (12000 + 1680)

= $ 13680

Repayment = $ 7800

Amount still outstanding (at the start of second year) = 13680 - 7800

= $ 5880

Interest on the outstanding amount at the end of second year,

P (new) = $ 5880

r (same) = 14%

t = 1 (for the current second year)

∴ I = (P X r X t)/100

= (5880 X 14 X 1)/100

= 82320 / 100

= $ 823.2 <-------------------------- (Interest on outstanding amount at the end of second year)

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3 years ago

What is 56/63 in simplest form?

Talja [164]

$\frac{56}{63}$ you divide both the top and bottom number by the highest number that can go into both without giving you a decimal . the highest number that can go into both parts of the fraction is 7 . 56/7= 8 and 63/7 = 9 therefore the answer is $\frac{8}{9}$

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4 years ago

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