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3 years ago

Two times a number is the result when 7 times the same number is taken away from 99. What is the number?

Mathematics

1 answer:

OLEGan [10]3 years ago

7 0

2x=99-7x

9x=99

x = 11

2x11 = 22

99-&7*11) = 22

so the number is 11

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What is the value of the expression 3^-4?

DerKrebs [107]

81 Because 3•3•3•3= 81 then I added the negative sign. but I guess you should do -3•-3=9 then again -3•-3=9. then 9•9 equals 81.

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3 years ago

Examine the diagram. What is the m

Phantasy [73]

Answer:

Step-by-step explanation:

Sum of all the angles of a triangle = 180°

∠A + ∠B + ∠C = 180°

48 + ∠B + 56 = 180

∠B + 104 = 180

∠B = 180 - 104

∠B = 76°

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3 years ago

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In a study of stress levels in U.S. army recruits stationed in Iraq, researchers obtained a complete list of the names of recrui

timama [110]

Answer:

The population in a statistical study is determined by all the individuals that could be part of the study, that is, all the individuals that have common characteristics that make them individuals of interest to the researcher.

In the study of the previous statement, the population is made up of all recruits from the US Army. UU. in Iraq at the time of the study.

Step-by-step explanation:

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3 years ago

An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.

weeeeeb [17]

Answer:

$20,475\ ways$

Step-by-step explanation:

we know that

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

$C(n,r)=\frac{n!}{r!(n-r)!}$

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

$n=28\\r=4$

substitute

$C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}$

simplify

$C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}$

$C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}$

$C(28,4)=20,475\ ways$

6 0

3 years ago

If y varies directly as the x^2 and y = 200 when x = 5, what is the value of y when x = -3?

gayaneshka [121]

As the variation is direct we have:
$y = kx ^ 2
$
We must find the value of k.
For this, we use the following data:
y = 200 when x = 5
Substituting values we have:
$200 = k5 ^ 2
$
Clearing k:
$k = 200/5 ^ 2

k = 200/25

k = 8$
Then, the function is:
$y = 8x ^ 2
$
We evaluate the function for x = -3
$y = 8 (-3) ^ 2

y = 8 (9)

y = 72$
Answer:
the value of y when x = -3 is:
c.
72

6 0

4 years ago