Answer:
step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.
Step-by-step explanation:
STEP 1: Move all terms not containing n to the right side of the equation.
[tex]2n=-12[/tex]
STEP 2: Divide each term by 2 and simplify.
[tex]n=-6[/tex]
[tex]\sqrt{x} 5*\sqrt{x} 8[/tex]
Jennifer’s mom is putting a basketball hoop on the garage. The garage door is 8 feet high. There is 7 feet of wall between the top of the garage door to the garage roof. How far down from the garage roof should the hoop be placed so that it is 10 feet above the ground?
a) 3
b) 5
c) 4
d) 2
Answer:
B
Step-by-step explanation:
Two airplanes leave the same airport heading different directions. After 2 hours, one airplane has traveled 710 miles and the other has traveled 640 miles. Describe the range of distances that represents how far apart the two airplanes can be at this time
Answer:
Step-by-step explanation:
710 + 640 = 1350m
James and Eric each mix 6 pitchers of lemonade. James makes 26 fluid Ounces of lemonade per pitcher, and Eric makes 32 fluid Ounces of lemonade per pitcher. They combine their lemonade and pour all of it into glasses. They fill as many glasses as possible with 8 fluid Ounces each. They pour the remaining lemonade into the last glass.
The number of fluid ounces of lemonade made by James and Eric is a
multiple of the number pitchers mixed.
Possible responses are as follows;The number of glasses filled = 43 glassesThe volume of lemonade in the last glass = 8 fluid ouncesReasons for arriving at the above responses:Given and derived parameters;The number of pitchers James and Eric mix = 6 pitchers each
Number of fluid ounces of lemonade James makes per pitcher = 26 fluid Ounces
Volume of lemonade Eric makes per pitcher = 32 fluid ounces
Solution:Volume of lemonade James makes = 26 fluid Ounce × 6 = 156 fluid Ounces
Volume of lemonade Eric makes = 32 fluid ounces × 6 = 192 fluid Ounces
Total volume of lemonade made by James and Eric = (156 + 192) fluid Ounces = 344 fluid ounces
Volume of lemonade per glass = 8 Ounces
Number of glasses filled = 344 fluid Ounces ÷ 8 Ounces/glass = 43 glasses
Therefore, given that the number of glasses of 8 ounces of lemonade that can be filled using the 344 fluid ounces is exactly 43 glasses, we have;
The last glass is the 43rd glassVolume of lemonade in the last glass is 8 fluid ouncesLearn more about division in arithmetic here:
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Can some one help me please god bless you
25 points
Jada sells ground paprika.
Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is graphed.
What is Jada's profit if she sells 60 kilograms of paprika?
Answer:
200
Step-by-step explanation:
Find 60 kilos then just follow the line up till you reach the blue line
HELPPPPP!!! 20 points
Consider the equation 6x+3y=9 Which equation, when graphed with the given equation will form a system with
infinitely many solutions?
y+ 2x-3
y+2x9
Oy=2x+3
Oy=-2x+9
Answer:Oy=2x+3
Step-by-step explanation:
An adult ticket for hypnotist's show cost $15. A children's ticket for the hypnotist's show cost $9. The number of adult tickets sold 5 more times the number of children's ticket sold. A total of $1512 is taken in for ticket sales. How many of each type of ticket is sold.
1. 21 adult tickets and 110 children's tickets
2. 110 adult tickets and 22 children's tickets
3. 10 adult tickets and 90 children's tickets
4. 10 adult tickets and 18 children's tickets
Answer:
The answer is B, or the second one.
90 Adult tickets and 18 Children's tickets
Step-by-step explanation:
(90 x 15) + (18 x 9)
PLEASE HELP ME !!!
:(
Answer:
Step-by-step explanation:
G is the incenter of ΔABC,
Incenter of a triangle is defined by the point where angle bisectors of the interior angles intersect.
10). m∠ABG = m∠CBG = 25°
11). m∠BCG = m∠ACG = 18°
Therefore, m∠BCA = m∠BCG + m∠ACG = 2×18° = 36°
12). m∠ABC + m∠BAC + m∠ACB = 180°
2(25)° + m∠BAC + 36° = 180°
m∠BAC = 180° - 86° = 94°
13). m∠BAG = [tex]\frac{1}{2}[/tex](m∠BAC) = 47°
14). Since, incenter is equidistant from all sides of the triangle,
Therefore, DG = GF = FE = 4 units
15). In right triangle BEG,
tan(25)° = [tex]\frac{\text{GE}}{\text{BE}}[/tex]
BE = [tex]\frac{\text{GE}}{\text{tan}25}[/tex]
= [tex]\frac{4}{\text{tan}25}[/tex]
BE = 8.6
16). In right triangle BEG,
cos(25)° = [tex]\frac{\text{4}}{\text{BG}}[/tex]
BG = [tex]\frac{4}{\text{cos}25}[/tex] = 4.4
17). In right triangle GEC,
sin(18)° = [tex]\frac{\text{GE}}{\text{GC}}[/tex]
GC = [tex]\frac{\text{4}}{\text{sin}(18)}[/tex] = 12.9
Find the slope, if it exists, of the line containing the pair of points.
(8,-6) and (3,9)
Answer:
The slope is -3
Step-by-step explanation:
the equation for finding the slope between two different points is:
M= (y2-y1)/(x2-x1)
Or in other words the change in y over the change in x.
M= (9+6)/(3-8) = 15/-5 = -3.
(sidenote: I added 9 and 6 for the change in y because you cannot subtract a negative number. Instead you have to add it.)
Ramon earns $1,625 each month and pays $53.80 on electricity. To the nearest tenth of a percent, what
percent of Ramon's earnings are spent on electricity each month?
Ramon spends
% of his earnings on electricity each month.
Answer:
3.1%
Step-by-step explanation:
53.80/1625 x 100 is 3.1
Hope this helps plz hit the crown ;D
So what you can do is divide 53.10 by 1735 to get percentage
0.0306051873 is your decimal, so move it right 2 places to get
3.06% of his money.
You asked for the nearest 10th of a percent, so you round that to
3.1%
An employer's accountant has announced that
the budget for the next year must be cut by 1/3 How much must be cut from the
budget if last year's budget was
$166,245?
A. $11,830
B. $55,415
C. $166,245
D. $498,735
Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Jackson’s distance from home over time.
Answer:
For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.
Then he stops for 20 minutes, we will represent this with a constant line.
Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.
A sketch of this situation can be seen below.
A number with no variable attached is called a what
Answer:
constants
Step-by-step explanation:
That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value.
The term or number with no variable attached is called a constant as in the polynomial or expression.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
A number consists of the expression with no variable.
As we know, the expression is a combination of numbers, variables, and operators.
If we take an example of the polynomial.
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm p(x) = a_0+a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
Here a₀ is a constant because the term a₀ has no variables.
Thus, the term or number with no variable attached is called a constant as in the polynomial or expression and the constant value does not change.
Learn more about the expression here:
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Medicare Hospital Insurance The average yearly Medicare Hospital Insurance benefit per person was $4064 in a recent year. Suppose the benefits are normally distributed with a standard deviation of $460. Round the final answers to at least four decimal places and intermediate z-value calculations to two decimal places.
Answer:
The answer is "0.0764"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\to \mu = \$ \ 4064\\\\\to \sigma = \$ \ 460 \\\\\to \sigma \bar{x} = \frac{\sigma}{\sqrt{n}}\\\\[/tex]
[tex]= \frac{460}{\sqrt{21}}\\\\ = \frac{460}{4.58257569}\\\\=100.3802[/tex]
[tex]\to P(\bar{x}< \$ \ 3920) = \frac{P((\bar{x} - \mu \bar{x})}{\frac{\sigma \bar{x}<(3920 - 4064)}{100.3802)}}[/tex]
[tex]\to P(z < -1.43) = 0.0764 \\\\\to P(\bar{x}< \$ \ 3920) = 0.0764\\\\[/tex]
Eric wishes to triple the recipe how much of each ingredient does
Answer:
wait what? sorry ,,,,,,,
Answer:
multiply
Step-by-step explanation:
it depends on how much eric has currently
Ex: eric has 3 teaspoons of water and 4 cups of flour
3x3=9
so he has 9 teaspoons intead of 3
4x3=12 so he needs 12 cups of flour
Find the values of the variables in each right triangle.
Answer:
x = 12
y = 16
Step-by-step explanation:
Use the Pythagoras Theorem on the left triangle.
[tex](Hypotenuse)2=(Base)^2+(Perpendicular)^2\\(x)^2=(7.2)^2+(9.6)^2\\x^2=51.84+92.16\\x^2=144\\x=\sqrt{144}\\x=12\\[/tex]
Now use the Pythagoras Theorem on the right triangle.
[tex](Hypotenuse)2=(Base)^2+(Perpendicular)^2\\(y)^2=(12.8)^2+(9.6)^2\\y^2=163.84+92.16\\y^2=256\\y=\sqrt{256}\\y=16\\[/tex]
The sum of a number, x, and 1/2 is equal to 4. Which set of equations correctly represents x?
Answer:4=1/2x
X=8
Step-by-step explanation:
What is the measure of
Answer:
m∠B = 105°
Step-by-step explanation:
Given
A = x+5B = 3xC = xWe know that the sum of angles in a triangle = 180°
A + B + C = 180°
x + 5 + 3x + x = 180°
5x + 5 = 180°
5x = 180° - 5
5x = 175
x = 175 / 5
x = 35
Thus, the measure of ∠B will be:
m∠B = 3x
= 3(35)
= 105°
m∠B = 105°
Pedro bought two cars, one for ₱600,000.00 and the other for ₱400,000.00. He sold the former at a gain of 10% and the latter at a loss of 12%. What percentage of the total investment was his gain or loss?
Answer:
Pedro had a gain of 1.2%
Step-by-step explanation:
Percentages
Pedro bought two cars. One for $600,000 and the other for $400,000.
He sold the first car at a 10% profit. Thus the gain was:
$600,000 * 10 / 100 = $60,000
He sold the other car at a 12% loss. Thus the loss was:
$400,000 * 12 / 100 = $48,000
The total gain or loss was $60,000 - $48,000 = $12,000
Since it's positive, the total balance is at gain.
The total investment was $600,000 + $400,000 = $1,000,000
The total gain is a percentage of the total investment of:
$12,000 / $1,000,000 * 100 = 1.2%
Pedro had a gain of 1.2%
I- JUST NEED THE ANSWERS TO THIS QUESTION
Answer:
Undefined
Step-by-step explanation:
Jkgdgdkhhgkdksytsktsykkusutskfkxh
Answer:
39% , 0.39 , 39/100
Step-by-step explanation:
I thought your randomness of letters was your question lol. Hope this helps though!
5
2
A line passes through the point (-10, 8) and has a slope of
Answer:
you need more than one point to find the slope of a line?
Step-by-step explanation:
Here I will be giving a Brainiest to a good answer :D
Answer:
A. F
B. D
C. C
D. E
E. G
F. G
G. D
Step-by-step explanation:
Answer: A. 9/4
C. -1.75
D. 1.75
E -2
F-1
-2 1/2
Step-by-step explanation:
Find the ratio of 2p per gram to £2.12 per kilogram
Answer:
the answer is 1.06
Step-by-step explanation:
6 people go to restaurant they arrived randomly at different times in how many ways can they arrive
Answer:
6
Step-by-step explanation:
Answer:
yeah 6 times.
Step-by-step explanation:
10 binder; 60% off; 6% tax
Answer:
I'm going to assume that the binder is $10, and that the tax is applied after the 60% off, in which case the answer is $4.24
Step-by-step explanation:
10 * 10 = 100
6 * 10 = 60
10 - 6 = 4
6 / 25 = 0.24
4 + 0.24 = 4.24
Answer: $4.24
During a thunderstorm, 4
inches of rain fell in 2 1/2
hours. What was the rate of rainfall in inches per hour?
Answer: 1.6 in per hour
Answer:
hourly rate.
Step-by-step explanation:
As others have noted, it is a simple mathematical division problem (4/2.5) and the average is 1.6 inches per hour.
However, if this is for sizing civil works such as culverts or plumbing storm water drainage systems to mitigate flooding, the highest rate per hour must be known and usually the highest ten minutes rainfall rate expressed as an hourly rate.
For example, if 4.0 inches fell over that 2.5 hours, nothing says that a rain band did not dump 3 inches in the first hour, (3 inches per hour cumulative) or 0.75 inches in a ten minute period (4.5 inches per hour rate), with the remainder of the storm tapering off to lesser rates. So the average is correct, but the peak hour is much more important for practical purposes.
Pleaseeeee helppppppp
Answer:
Step-by-step explanation:
since the first equation is already simplifies to y = 2x plug in 2x for the y in the second equation and solve
x = -(2x) + 6
x = -2x + 6
3x = 6
x = 2
plug in our x to the original equation
y = 2(2)
y = 4
so our answer is (2,4)
hope this helps <3
Answer:
x = 2
Step-by-step explanation:
If y is 2x, and x is -y + 6, what's x?
So let's use substitution method. Just replace the -y in x = -y + 6 with 2x:
x = -y + 6
x = -2x + 6
add 2x to both sides
3x = 6
divide by 3
x = 2
I'm not understanding
Answer:
D. x = 3
Step-by-step explanation:
We would like to find out for what value of x does f(x) = g(x). This is essentially the same as asking us to find the x-value for which f(x) = k, where k is some number, and g(x) = k, as well.
Looking at the two tables provided, we notice that when x = 3, both f(x) and g(x) equal -2. So, the answer is D.