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3 years ago

9

The cake store is having a 30% percent off sale on all of its cakes. If the cake you want regularly costs $10, how much would yo

u save with the discount?

1 answer:

Akimi4 [234]3 years ago

6 0

30% of £10 = £3
30% discount = £10 - £3 = £7
Cake costs £7

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4. Find the area of the<br> shaded region.

lozanna [386]

Diameter of the circle in the middle = 8 ft

Radius of the circle in the middle :

$=\tt \: \frac{Diameter }{2}$

$=\tt \frac{8}{2}$

$=\tt 4 \: ft$

Thus, the radius of the circle in the middle = 4 ft

Area of the entire circle :

$=\tt \pi {r}^{2}$

$= \tt3.14 \times 4 + 6 \times 4 + 6$

$= \tt3.14 \times 10 \times 10$

$=\tt 3.14 \times 100$

$\color{plum} = \tt314 \: ft$

Thus, the area of the entire circle = 314 ft

Area of the circle in the middle :

$=\tt \pi {r}^{2}$

$=\tt 3.14 \times 4 \times 4$

$= \tt3.14 \times 16$

$\color{plum} =\tt 50.24 \: ft$

Thus, the area of the circle in the middle = 50.24 ft

Area of the shaded portion :

= Total area of the figure - Area of the circle in middle

$=\tt 314 - 50.24$

$\color{plum} =\tt 263.76 \: ft$

▪︎Therefore, the area of the shaded portion = <u>263.76 ft</u>

4 0

3 years ago

Which of the following equations is on the same path as x=2-3t, y=7-6t?

Svet_ta [14]

Answer:

C. $y = 3+2\cdot x$

Step-by-step explanation:

Let be the parametric equations $x = 2-3\cdot t$ and $y = 7 - 6\cdot t$ , we need to clear $t$ and eliminate it afterwards to obtain a function of the form $y = f(x)$ :

$x = 2 - 3\cdot t$

$3\cdot t = 2 - x$

$t = \frac{2}{3}-\frac{1}{3}\cdot x$ (1)

$y = 7 - 6\cdot t$

$6\cdot t = 7 - y$

$t = \frac{7}{6} - \frac{1}{6}\cdot y$ (2)

By (1) and (2):

$\frac{2}{3}-\frac{1}{3}\cdot x = \frac{7}{6}-\frac{1}{6}\cdot y$

$4 -2\cdot x = 7 - y$

$y = 3+2\cdot x$

Hence, the correct answer is C.

6 0

3 years ago

You spin the spinner once.<br> 6<br> 8<br> 17<br> What is P(prime)?<br> Options: 33% 25% 26% or 36%

SIZIF [17.4K]

Given:

You spin the spinner once.

The possibilities are 6, 8, 17.

To find:

The probability of getting a prime number, i.e., P(prime).

Solution:

In the given numbers 6, 8, 17, only 17 is a prime number because it is divisible by 1 and itself.

6 and 8 are divisible by 2, so they are not prime.

The probability (in %) of getting a prime number is:

$P(\text{prime})=\dfrac{\text{Prime numbers}}{\text{Total numbers}}\times 100$

$P(\text{prime})=\dfrac{1}{3}\times 100$

$P(\text{prime})=33.33\%$

$P(\text{prime})\approx 33\%$

Therefore, the correct option is A.

6 0

3 years ago

What is the answer to this

GalinKa [24]

2, 67, and 83 are all prime. 63 and 91 are composite. For the bottom question the answer is A and B.

3 0

4 years ago

The shortest side of triangle ABC is half of the second side and a third of the longest side. How does the perimeter of the tria

julia-pushkina [17]

The longest side is 1/2 of the overall length of the perimeter.

You can get this by making the shortest side equal to x, which makes the second side 2x and the longest side 3x.

However, ti should be noted that this triangle could not exist since the lengths of the two shorter legs would not be greater than the 3rd side.

4 0

3 years ago