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SpyIntel [72]
2 years ago
8

240 people are going to a charity event. 35 of the guests have ordered chicken for their meals. Of the remaining guests, 12.5% h

ave ordered gluten-free meals. How many people haven't ordered their meals yet?
Mathematics
1 answer:
RUDIKE [14]2 years ago
5 0

Answer:

179 guests

Step-by-step explanation:

Given

Number of guests = 240

35 ordered chicken ------ (#1)

12.5 of the remaining ordered gluten-free meals

Required

Number of guests yet to make order.

First, the number of guests after 35 made orders needs to be calculated...

Number of guests = 240 - 35

Number of guests = 205

Hence, there are 205 guests left

From the question, 12.5% of the remaining (205) also made gluten free meals order.

Number of guests = 12.5% * 205

Number of guests = 0.125 * 205

Number of guests = 25.625

Number of guests = 26 ------ (#2)

Hence, 26 guests made an order of gluten free meals.

Number of guests yet to make any order = Total guests - (#1) - (#2)

Number of guests = 240 - 35 - 26

Number of guests = 179

Hence, 179 guests are yet to make any order.

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0.01234567901 as a fraction
balu736 [363]

Answer: 1234567901 /100000000000

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are  11  numbers to the right of the decimal point, place the decimal number over  10 ∧11   ( 100000000000 ) . Next, add the whole number to the left of the decimal.

1234567901 /100000000000

6 0
1 year ago
a scientist wants to study 24 stars he studies 1/3 of them one week and 1/4 of them next week how many of them are left to study
zvonat [6]
6 because 1/3 of 24 is 8 and 1/4 of 8 is 6
4 0
2 years ago
Carlos and Maria drove a total of 233 miles in 4.4 hours. Carlos drove the first part of the trip and averaged 55 miles per hour
Mandarinka [93]
Let x - hours Carlos drove ; Let y - hours Maria drove

Equation 1: x + y = 4.4
x = 4.4 - y

Equation 2: 55x + 50y = 233
55(4.4 - y) + 50y = 233
242 - 55y + 50y = 233
-5y = 233-242
-5y = -9
y=9/5 or 1.8 hours Maria drove

To find time Carlos drove:
x=4.4 - 1.8
x = 2.6 hours

3 0
2 years ago
Read 2 more answers
CALC 1: Spud's mom is going to make him a round birthday cake, and has asked for your help. Spud is a bit weird, and has already
Ratling [72]

Answer:

15.7 in  

Step-by-step explanation:

A slice of a round pie is a sector of a circle.

The perimeter of a slice is the arc length s plus twice the radius r.

P = s + 2r

s = rθ = r(16/360) = r/22.5. So,

16 = (r/22.5) + 2r = (r + 45r)/22.5 = 46r/22.5

16 × 22.5 = 46r

360 = 46r

r = 7.826  

D = 2r = 2 × 7.826 = 15.7 in

The diameter of the cake should be 15.7 in.

Check:

\begin{array}{rcl}P & = & s + 2r\\& = & \dfrac{r}{22.5} + 2r\\\\16 & = & \dfrac{7.826}{22.5} + 2 \times 7.826\\\\16 & = & 0.35 + 15.65\\16 & = & 16.00\\\end{array}

It checks.

 

6 0
1 year ago
What is the constant term in the expansion of $\left(\sqrt{x}+\dfrac5x\right)^{9}$?
PolarNik [594]

Answer:

(\sqrt{x})^{5}(5/x)^{4}

Step-by-step explanation:

Hi there.

Well, let's translate it from Latex. Then expanding it:

\left(\sqrt{x}+\dfrac5x\right)^{9}=    (\sqrt{x})^9(5/x)^{0} +(\sqrt{x})^{8}(5/x)^{1}+(\sqrt{x})^{7}(5/x)^{2} \\+(\sqrt{x})^{6}(5/x)^{3}+(\sqrt{x})^{5}(5/x)^{4}+(\sqrt{x})^{4}(5/x)^{5}\\+(\sqrt{x})^{3}(5/x)^{6}+(\sqrt{x})^{2}(5/x)^{7}+(\sqrt{x})^{1}(5/x)^{8}+(\sqrt{x})^{0}(5/x)^{9} =

\frac{\left(5+x^{\frac{3}{2}}\right)^9}{x^9}

Finding a constant term, in a Binomial has its cases.

In this case, there's no constant as a real number. Also, this an univariate binomial. So to find this Binomial expansion's constant term. We must follow this formula, (for a 9th degree) there are 10 terms:

n-2k=0\\10 -2k =0\\K=5th :\term\\

(\sqrt{x})^{5}(5/x)^{4}

Because this result satisfy a ratio.

y=\frac{c}{x}

Where c is the constant term, x is the first term of this binomial

8 0
1 year ago
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