Answer:
x=28
Step-by-step explanation:
I am assuming the mean is arithmetic mean. So we first add up the numbers:
6+10+12+18+16+x
=22+10+30+x
=22+40+x
=62+x
Then since there's 6 numbers in total, we have an equation:
[tex]\frac{62+x}{6}=15\\62+x=90\\x=28[/tex]
The answer is 28!
Have a nice day! :)
1/4 of 6 feet is how many inches
Answer:
18 inches
Step-by-step explanation:
1 ft = 12 in
6 ft = ? in
Set up an equation to convert 6 feet into inches
Variable x = number of inches
1 ft/12 in = 6ft/x in
Cross multiply (feel free to ignore units for now so it doesn't get in the way of your calculations)
1 × x = 12 × 6
1x = 72
x = 72 inches
6 feet = 72 inches so replace 6 feet with 72 inches
Now let's find 1/4 of 72 inches
Set up another equation to solve
Variable y = a fourth of seventy two inches
1/4 = y/72
Cross multiply
1 × 72 = 4 × y
72 = 4y
Divide both sides by 4 to isolate variable y
72 ÷ 4 = 4y ÷ 4
18 = 1y
18 = y
Answer:
I know I already said this but
18 inches
Step-by-step explanation:
:)) have a great day!
Help! I need an answer in 30 minutes!
Write an equation that could be used to find the value of x using the interior angles of ∆ABD, then solve the equation.
Answer:
equation: 55 + (2x + 3) + 90 = 180
55 + 2x + 3 + 90 = 180
2x + 148 = 180
2x = 32
x = 16
Answer:
55 + 50 + 2x+3 + 2x+8 = 180
x = 16
Step-by-step explanation:
55 + 50 + 2x+3 + 2x+8 = 180
113 + 4x = 180
4x = 64
x = 16
Help me with this pls
what’s 6.305082126 rounded to the nearest degree (No decimals)
Answer:
6
Step-by-step explanation:
3 is smaller that 5 so round down
P(x) =0.02x³+0.04x²+0.3x+1.2.Evaluate P(18) by direct substitution and by applying the remainder theorm
Answer:
136.2
Step-by-step explanation:
Plugin x = 18 in the polynomial.
P(x) = 0.02x³ + 0.04x² + 0.3x + 1.2
P(18)= 0.02*(18)³ + 0.04*(18)² + 0.3*18 + 1.2
= 0.02 * 5832 + 0.04*324 + 5.4 + 1.2
= 116.64 + 12.96 + 5.4 + 1.2
= 136.2
Plz help I will give Brainlyest plz help fast
Write the expression as a single logarithm.
4logb^y + 3logb^x
Answer:
b
Step-by-step explanation:
Need help, due in 1 hour please!
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
hope this helps lovely! <3
Subject:Mathematics
Answer:
range = 12
IQR = 8
Step-by-step explanation:
Given the formula for the range and inerquartile range, each attribute can be found by substituting values from the data set.
The money Sky makes from babysitting is directly proportional. After 4 hours, she makes $72. How much money would she make after 7 hours?
A) $72
B) $52
C) &126
D) $108
Answer:
C. $126
Step-by-step explanation:
Let us say x is the amount of money Sky makes for babysitting 7 hours.
[tex]\frac{72}{4} =\frac{x}{7}[/tex]
[tex]\frac{72}{4} = 18[/tex]
[tex]18=\frac{x}{7}[/tex]
x=$126
HURRYYY A company is introducing a new product. The equation y = –0.001(x – 600)2 + 90 predicts the expected profit, in thousands of dollars, where x represents the number of thousands of units of the product sold by the company. How many units must be sold to yield a maximum profit? 90 600 90,000 600,000
Answer:
d
Step-by-step explanation:
^u^
The amount of units that must be sold to a number yields a maximum profit is 600. Hence 600 units will be the correct option.
How to find maxima?To find the maxima of any function it needs to differentiate with respect to the dependent variable and equate with zero to get stationary points.
After achieving the stationary points it needs to put on the double derivative of that function to check whether it's maxima or minima.
If the double derivative got negative then it will be maxima.
Given that function
f(x) = -0.001(x-600)² + 90
By differentiation
[tex]$f'(x)$[/tex] = -0.002(x - 600) + 90
Now equate with zero
-0.002(x - 600) + 90 = 0
x - 600 = 0
x = 600
Now checking the x at double derivative
[tex]$f''(x)$[/tex] at x = 600 it is coming out to -0.002 which is negative Hence, the 600 units will be the correct answer.
For more about maxima
https://brainly.com/question/13995084
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The City of Killeen utilities charges for water usage per gallon on a monthly basis as listed below.
Up to 500 gallons ($0.15/gallon)
More than 500 gallons - 1000 gallons ($0.33/gallon)
How much will Mrs Lapid pay if she uses 795 gallons in a particular month?
Answer:
$262.35
Step-by-step explanation:
From the above question we are given the cost for a given range of gallons
Mrs Lapis uses 795 gallons, hence this falls into the range of:
More than 500 gallons - 1000 gallons ($0.33/gallon)
Hence:
1 gallon = $0.33
795 gallons = $x
Cross Multiply
1 gallon × $x = $0.33 × 795 gallons
$x = 795 × $0.33
x =$ 262.35
Therefore, Mrs Lapis would pay $262.35 every month
If I have 20 shares of a stock worth a total value of 440.80 what is the price per share of the stock?
If my total value dcreases by 6% what is it now?
Answer:
The price per share of the stock is 22.04. If the total value decreases by 6% the price becomes 20.71.
Step-by-step explanation:
440.80/20= 22.04
100-6= 94%
0.94 x 440.80= 414.35
414.35/20= 20.71
At a taffy pull, George stretched the taffy to 3 feet. Jose stretched it 1_ 1 3 times as far as George. Maria stretched it _ 2 3 as far as George. Sally stretched it _ 6 6 as far. Who stretched it the farthest? The least?
Answer:
Jose stretched the taffy the farthest and Maria stretched it the least
Step-by-step explanation:
Distance stretched by George = 3 feet
Distance stretched by Jose is [tex]1\dfrac{1}{3}[/tex] times as much as George so
[tex]3\times 1\dfrac{1}{3}=3\times\dfrac{4}{3}=4\ \text{feet}[/tex]
Distance stretched by Jose is [tex]4\ \text{feet}[/tex]
Maria streched the taffy [tex]\dfrac{2}{3}[/tex] times as George
[tex]3\times \dfrac{2}{3}=2\ \text{feet}[/tex]
Maria stretched the taffy by [tex]2\ \text{feet}[/tex]
Sally stretched it [tex]\dfrac{6}{6}[/tex] so [tex]1\ \text{feet}[/tex]
So, Jose stretched the taffy the farthest and Maria stretched it the least.
Calculate the value of p and the value of q
Answer:
q= 20 p= 56
Step-by-step explanation:
A angle is also 62°
Answer:
q = 20 degrees
p = 59 degrees
Step-by-step explanation:
to find q, find all the other interior angles within that shape and subtract it from 360
angle E = 180 - 62 = 118
angle b = 90
angle c = 132
360 - (118 + 90 + 132) = 20
angle q = 20 degrees
to find p, add all the other interior angles within that shape and subtract it from 180
angle e = 62 degrees
angle a and b are the same so, take 62 and subtract it from 180 then divide the answer by 2
180 - 62 = 118
118 / 2 = 59
angle a = 59 degrees
angle p = 59 degrees
In degrees, what is the measure of MFE?
Answer:
30°
Step-by-step explanation:
It tells us that MFE is equal to (x + 6)° so we need to find x
The angle accross from MFE is RFT. These angles are congruent, because they are a vertical pair. So RFT is also equal to (x + 6)°
The angle RFT and PFR combined form a right angle. This means that RFT + PFR = 90°.
They told us that PFR = (3x - 4)°
so that means that (x + 6) + (3x - 4) = 90°
Knowing that we can just solve the equation by combining like terms
4x + 2 = 90
Subtract two from both sides
4x = 88
And then divide by 4
x = 22
Now we can plug in 22 in the original equation to find MFE
22 + 6 = 30
so MFE = 30°
1. Which is an exponential equation?
(1) y = x2
(3) y = 2x-3
(2) y =5^x
(4) y = 1/x
find the value of x round to the nearest degree
Answer: 27
Step-by-step explanation:
You have 20dollar sign, 20 to spend on taxi fare. The ride costs $5dollar sign, plus $2.50 sign, per kilometer. Write an inequality to determine the distance in kilometers, d, you can ride for $20dollar sign, 20.
Answer:
20=5+2.5d
Step-by-step explanation:
what's
[tex] \alpha + \beta [/tex]
if
[tex] \alpha = 1 \: and \: \beta = 2[/tex]
Answer:
3
Step-by-step explanation:
1+2 = 3
I hate these type of qn
lol
Im having trouble with these and ive been staring at my screen for over an hour- I just need to know the answer-
Answer:
(-3, 4)
It doesn't show any coordinates so I assume that the origin is where the x and y axes intercept
Find c.
Round to the nearest tenth.
Answer: Picture is blury for me I can not see it well enough
Step-by-step explanation:
All i see is the 8 ft and 17ft cant see any of the other numbers
HELPPPPPPPPPPPPPPPPPPOPPPPPPP PLZZZ
Answer:
x^2 + 3x
Step-by-step explanation:
just add like terms so 3x^2 - 2x^2 = x^2 and 11x - 8x = 3x
Someone pls help me
Answer:
2. 8x
3. (12/2)*(10/2)
Step-by-step explanation:
Please do a step by step so that i can show work.
Answer:
See this attachment...
A triangle has angles that measure 106° and 59°.
What is the measure of the third angle?
74º
121°
15°
47°
a) what is the area of a square park whose perimeter is 2000m.
b)what is the simplified form of 2² X 2⁵ (with explanation please)
Answer:
Step-by-step explanation:
Perimeter of square park = 2000 m
4*side = 2000
side = 2000 ÷ 4
side = 500 m
Area of square park = side * side
= 500 * 500
= 250000 m²
[tex]b) a^{m}*a^{n} =a^{m+n}\\\\2^{2}*2^{5} = 2^{2+5} = 2^{7}[/tex]
ms walker order 3 donuts and 1 bottle of milk. the total cost was $6.50. if the bottle of milk cost $1.50, write an equation to represent this situation.
Answer:
$5.00
Step-by-step explanation:
6.50-1.50=5
or
1.50+5=6.50
where each donut is about $1.67
Find the volume of the trapezoidal prism below.
6 cm
5 cm
12 cm
7.5 cm
What is the equation of the coordinate A and B if they are (4,7), (6,3) respectively. What is the equation of the straight line.
Answer: y+2x=15
Step-by-step explanation:
Given
Two points A and B are (4,7) and (6,3) respectively
Using two-point form
[tex]\Rightarrow \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Putting values
[tex]\Rightarrow \dfrac{y-7}{x-4}=\dfrac{3-7}{6-4}\\\\\Rightarrow \dfrac{y-7}{x-4}=\dfrac{-4}{2}=-2\\\\\Rightarrow y-7=-2x+8\\\\\Rightarrow y+2x=15[/tex]