Can you please help

Ms. Johnson buys a family-size bag of chips. She gives 20% to Jackie. Another 20% to Ronald. Ms. Johnson gives 1/4 to Mark and S

Kobotan [32]

Answer: 17.5%

Step-by-step explanation:

Percentage of chips given to Jackie = 20%

Percentage of chips given to Ronald = 20%

Percentage of chips given to Mark = 1/4 × 100 = 25%

From the above calculation, we can see that Ms Johnson has given out ((20% + 20% + 25%) = 65% worth of chips out. The percentage she'll have left will be:

= 100 - 65

= 35%

Since Susan takes half of what's left, the percent that Ms. Johnson has left to eat will be:

= 1/2 × 35%

= 17.5%

She has 17.5% left to eat.

3 0

3 years ago

A contest on a game show receives -25 points for each wrong answer what integer represents the change in periods after three wro

Paladinen [302]

To represent the change in points, you can think of it in two ways:

1. You will go down 25 points for every wrong answer, so -25 + -25 + -25 would represent what is happening. They are all negative, so you keeping moving down in value.

2. You can also think of this as 3 groups of -25.

Both answers are -75. The answer is negative because the change was down in points.

-75 is the integer that represents this situation.

7 0

3 years ago

If P=Q^R , Q=R^P , R=P^Q.<br>Then Prove: P×Q×R=1.

8_murik_8 [283]

Answer:

PQR=1

Step-by-step explanation:

5 0

4 years ago

If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra

bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be $l$ units.

Using pythagoras theorem, we can find out the value of $l$ .

As per theorem:

$Hypotenuse^{2} = Base^{2} + Height^{2}\\$

$\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 = 100\\\Rightarrow l = 10\ units$

Lateral surface area of square prism = 4 $\times$ Area of triangular surface

$\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units$