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zhannawk [14.2K]
3 years ago
10

mr. morris has a class of 14 students. he can spend $24 on each student to buy math supplies for the year. he first buys all the

students calculators, which costs a total of $95.20. after buying the calculators, how does he have left to spend on each student?

Mathematics
2 answers:
MrRissso [65]3 years ago
8 0
He could spend $17.20 on each student

Natali [406]3 years ago
4 0
Hello!

First of all let's divide and find how much each calculator cost.

95.2/14=$6.80

Now we will subtract from 24.

24-6.8= 17.2

Mr. Morris has $17.2 left to spend on each student.

I hope this helps!
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Which figure has two pairs of congruent sides and more than two lines of symmetry?
Advocard [28]
C. trapezoid

a trapezoid's legs are congruent, while the bases are symmetrical

a square is the answer you would want, because it is always true, while a trapezoid is only "sometimes" true

thanks Kaikers :D


5 0
4 years ago
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the percent of sales tax is 10%. what is the actual price of a pair of basketball shoes that cost $98?
larisa [96]

Answer:

(98/100)*110 = $107.8

Step-by-step explanation:

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3 years ago
Which expressions are equivalent to the one below? Check all that apply. 21^x/3^x
satela [25.4K]

Answer:

<em>options:  A,C,E </em>are correct.

Step-by-step explanation:

We have to find the expression equivalent to the expression:

\dfrac{21^x}{3^x}

we know that: 21^x=(3\times7)^x\\\\21^x=3^x\times7^x

Hence,

\dfrac{21^x}{3^x}=\dfrac{3^x\times7^x}{3^x}=7^x-----(1)

A)   (\dfrac{21}{3})^x= 7^x  (same as(1))

Hence, option A is correct.

B)  7 ; which is a different expression from (1)

Option B is incorrect.

C) 7^x   (Same as (1))

Option C is correct.

D) (21-3)^x=18^x   which is a different expression from (1)

Hence, option D is incorrect.

E) \dfrac{7^x\times3^x}{3^x}=7^x   ; which is same as (1)

Hence, Option E is correct.

F) 3^x  ; which is not same as expression (1)

Hence, option F is incorrect.

5 0
4 years ago
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A normal distribution has a mean of 4 and a standard deviation of 1. What percent of values are from 4 to 7?
Igoryamba

Answer:

49.865%

Step-by-step explanation:

Given that:

μ = 4 ; σ = 1

For x = 4

P(x < 4) :

Z score (x - μ) / σ

P(x < 7) - P(x < 4)

((7 - 4) / 1) - ((4 - 4) / 1)

P(Z < 3) - P(Z < 0)

Usibg the Z probability calculator :

0.99865 - 0.5

= 0.49865

= 0.49865 * 100

= 49.865%

6 0
3 years ago
Find the absolute extreme of the function on the closed interval. y=9e^xsinx , [0,pi]
Molodets [167]

For convenience sake, I will let y=f(x)=9e^{x}\sin x

First, we evaluate the function at the endpoints of the interval.

f(0)=9e^{0}\sin(0)=0\\\\f(\pi)=9e^{\pi}\sin(\pi)=0

Then, we need to find the critical points.

We can start by taking the derivative using the power rule.

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Setting this equal to 0,

9e^x (\cos x+\sin x)=0

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\cos x+\sin x=0\\\\\sin x=-\cos x\\\\\tan x=-1\\\\x=\frac{3\pi}{4}

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So, the absolute minimum is \boxed{\left(\frac{3\pi}{4}, \frac{9\sqrt{2}e^{3\pi/4}}{\sqrt{2}} \right)} and the absolute minima are \boxed{(0,0), (\pi, 0)}

3 0
2 years ago
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