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egoroff_w [7]
3 years ago
10

a restaurant holds an anniversary celebration of 90 diners. Only 27 are offered free dessert, what is the percent of dinners not

offered free dessert?
Mathematics
1 answer:
alex41 [277]3 years ago
6 0

Answer:

70%

Step-by-step explanation:

(90-27)/90

=63/90

=0.7

Changing it to percentage:

=70%

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The length of a picture frame is 7 inches more than the width. For what values of x is the perimeter of the picture frame greate
makkiz [27]
P=2(L+W)
l=x+7
w=x
P=2(x+7+x)
P=2(2x+7)
P=4x+14

hast to be greater than 154

P>154
4x+14>154
minus 14 both sides
4x>140
divide 4
x>35


4 0
4 years ago
Help pls I no it’s simple but I don’t understand pls look at the pictures or image pls pls number 1 pls
NeTakaya

Answer: The answer would be No, Yes, No.

Step-by-step explanation:

Look at the grid, you can see that it has 100 units in all.

0.42 equals 21/50, so they are both wrong. The denominator would have to be 100. The only logical one would be the second one.

4 0
3 years ago
the half-life of strontium-90 is approximately 29 years. how much of a 500 g sample of strontium-90 will remain after 58 years​
Yuliya22 [10]

Answer:  125 g

<u>Step-by-step explanation:</u>

A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k

\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125

8 0
3 years ago
A.) f(x)=3x^2-18x+27.
Alona [7]
A)
Vertex:(3,0)
x-intercepts: (3,0) 
y-intercepts: (0,27)

B)
Vertex:(0,-9)
x-intercepts:none 
y-<span>intercepts:</span> (0,-9)
8 0
3 years ago
Read 2 more answers
Plz I need help this is due at 7:10
solmaris [256]

Answer:

8units²

Step-by-step explanation:

Area of the trapezoid = 1/2(a+b)h

a and b are the opposite sides

h is the height

Take a square as 1 unit

a = 1 unit

b = 3 units

height h = 4 units

Substitute

A = 1/2(1+3)*4

A = 1/2 * 4 * 4

A = 16/2

A = 8units²

Hence the area of the trapezoid is 8units²

7 0
3 years ago
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