Hey there!
ANSWER: [tex]x=8,13[/tex]EXPLANATION:[tex](x-8)^2=25[/tex]
To solve this equation, you will need to simplify both sides.
[tex]x^2-16x+64=25[/tex]
Now we will need to minus(subtract) 25 from both sides of the equation.
[tex]x^2-16x+64-25=25-25=x^2-16x+39=0[/tex]
Now we will need to factor out the left side.
[tex](x-3)(x-13)=0[/tex]
In our last step, we will need the set factors equal to zero.
[tex]x-3=0\\x-13=0\\x=3(ANSWER)\\x=13(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
A car rental company charges $0.10 per mile plus $30 per day for a midsize sedan. If Lawrence rents a vehicle for four days and has $200, what is the maximum number of miles he can drive?
Answer:
8 miles
Step-by-step explanation:
Tom has cases of soda. If there are 12 cans in a case, how many cans does tom have?
Answer:54
4 1/2times 12
Convert 4 1/2 to an improper fraction.
9/2 times 12
Cancel the common factor of 2
9 times 6
Multiply
9 by 6 the you'll get 54
1. Given a right triangle the first angle is ten degrees more than three times the degree measure of the second angle and the third angle is the right angle. What is the angle measurement of the first angle? Doint)
Answer:
The first angle is [tex]70^{o}[/tex].
Step-by-step explanation:
Let the measure of the second angle be represented by [tex]x^{o}[/tex].
Thus, the first angle = [tex](3x+10)^{o}[/tex]
Third angle = [tex]90^{o}[/tex]
Sum of angles in a triangle = [tex]180^{o}[/tex]
So that;
[tex]x^{o}[/tex] + [tex](3x+10)^{o}[/tex] + 90 = [tex]180^{o}[/tex]
[tex]x^{o}[/tex] + [tex]3x^{o}[/tex] + [tex]100^{o}[/tex] = [tex]180^{o}[/tex]
[tex]4x^{o}[/tex] = [tex]180^{o}[/tex] - [tex]100^{o}[/tex]
[tex]4x^{o}[/tex] = [tex]80^{o}[/tex]
divide both sides by 4 to have;
[tex]x^{o}[/tex] = [tex]20^{o}[/tex]
The first angle = [tex](3x+10)^{o}[/tex]
= ( 3 x 20 + 10)
= 60 + 10
= [tex]70^{o}[/tex]
Therefore, the first angle is [tex]70^{o}[/tex].
How many quarts of pure antifreeze must be added to 5 quarts of a 40% antifreeze solution to obtain a 50% antifreeze solution?
Answer:
2 quarts of 100% antifreeze.
Step-by-step explanation:
5 quarts/ .40 * x/ 1
.40x= 5
x=2
2 quarts of pure antifreeze must be added to 5 quarts of a 40% antifreeze solution to obtain a 50% antifreeze solution.
Looking at the concentrations.
100% of x quarts is x quarts of antifreeze.
30% of 5 quarts is .3(5) quarts antifreeze.
Adding that we have 5+x quarts and we want
50% of that to be antifreeze so the total is
.5(x + 5)
x + .3(5) = .5(5+x)
x + 1.5 = 2.5 + .5x
x - .5x = 2.5 - 1.5
.5x = 1
x = 1/.5 = 2 quarts pure antifreeze.
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1. What does the slope represent of a graph? (Definition
of Slope)
help!
Answer:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
Step-by-step explanation:
For the given linear function, what are the slope and y-intercept?
Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
I had this question not to long ago and got it right
What is the value of y?
Answer:
y = 40
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
y+10 + 2y +50 = 180
3y+60 = 180
Subtract 60 from each side
3y+60-60 = 180-60
3y = 120
Divide each side by 3
3y/3 = 120/3
y = 40
How many gallons of paint are needed to paint the walls of a rectangular prism shaped room that is 15 feet by 10 feet and 8 feet high if 1 gallon of paint covers 40 square feet? Assume there are no doors or windows.
Answer:
11.2 gallons.
Step-by-step explanation:
We have been given that a rectangular prism-shaped room is 18 ft by 10 ft and 8 ft high. We are asked to find the gallons of paint needed to paint the walls of room.
537²×15.90²=74²
I know this looks like pythagorean theorem. But how do they teach this to high schooler?
Answer:
It looks like this question is not solvable. So, if this is absolutely correct, write "no solution".
Step-by-step explanation:
Below is the first step to attempt solving the equation.
The little twos at the top of each number are called exponents. This means a number times itself.
So,
537*537=288,369
15.9*15.9=252.81
74*74=5476
Now, take the 288,369*252.81 to get a total of 72,902,566.89 .
Since this answer is (obviously) not equal to the 5476 on the other side, the two are not equal.
Here's how you'd work it out on paper to show it isn't solvable.
(537*537)*(15.9*15.9)= (74*74)
(288,369)*(252.81)= 5476
72,902,566.89 ≠5476
So the answer would be:
Not solvable.
Polygon Q is a scaled copy of polygon P using a scale factor of 1/2. Polygon Q's area is what fraction of Polygon P's area.
Answer: Polygon Q's area is 1/4 of Polygon P's area
======================================================
Explanation:
Imagine we had a square with side length 8. The area of this square is 8*8 = 64.
Now let's reduce each side of the square by the scale factor 1/2. So each new side is 8*(1/2) = 4. The area of this smaller square is 4*4 = 16.
Comparing the new area (16) to the old one (64), we see that the new area is 16/64 = 1/4 of the old area.
In other words,
new smaller area = (1/4)*(old larger area)
So this is one example to see why (1/2)*(1/2) = 1/4 is the area scale factor based on the linear scale factor of 1/2. In short, (1/2)^2 = 1/4. Whatever the original scale factor is, square it and you'll get the area scale factor.
4 customers entered a store over the course of 6 minutes. At what rate were the
customers entering the store in customers per minute?
50 seconds per minute
The rate of entering customers per minute, if 4 customers entered a store over the course of 6 minutes, is 2 / 3.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.
Given:
4 customers entered a store over the course of 6 minutes,
Calculate the rate of entering customers per minute as shown below,
The rate of entering customers per minute = total number of customer / total time
The rate of entering customers per minute = 4 / 6
The rate of entering customers per minute = 2 / 3
Thus, the rate of entering is 2 / 3.
To know more about division:
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It takes Mrs. Rice 4 hours to drive the 240 miles to visit her sister in Plano.
Calculate the rate to the nearest whole mile per hour for Mrs. Rice's drive.
Given:
Time = 4 hours
Distance = 240 miles
To find:
The speed or the rate mile per hour for Mrs. Rice's drive.
Solution:
We know that,
[tex]Speed =\dfrac{Distance}{Time}[/tex]
On substituting the given values, we get
[tex]Speed =\dfrac{240}{4}[/tex]
[tex]Speed =60[/tex]
Therefore, the speed or rate is 60 mile per hour for Mrs. Rice's drive.
10 + (-4) Show Example
Answer:
6
Step-by-step explanation:
10
-6
=6
Adding a negative number is simply subtraction.
10-4=6
Isaac is making soft pretzel nuggets. His recipe says that, after he makes the dough, he should divide it into 8 equal pieces. Then, he needs to roll each piece into a 2-foot-long rope and cut it into nuggets. If he decides to make each pretzel nugget 1 inch long, how many can he make in all?
Answer:
The answer to your question is 192 pretzels
Step-by-step explanation:
Data
number of pieces = 8
length of each piece = 2 ft
length of each pretzel = 1 in
number of pretzels = x
Process
1.- Convert ft to in
1 ft --------------- 12 in
2 ft --------------- x
x = (2 x 12) / 1
x = 24 ft
2.- Divide the length of each piece by the length of each pretzel
24/1 = 24 pretzels per piece
3.- Multiply the number of pretzels per the number of pieces
24 x 8 = 192 pretzels
find the value power of 5-^2
Answer:
-25
Step-by-step explanation:
Sarah is completing a tax form. The tax is 15.8% of $43.000. How much tax does Sarah have to pay?
Hey there! I'm happy to help!
To write a percentage as a decimal, you move the decimal place to the left two digits, so 15.8% as a decimal is 0.158.
To find the percentage of a certain number, you multiply it this percent by the certain number.
0.158×43000=6794
So, Sarah will have to pay $6,794.
Have a wonderful day! :D
if a/b = 5/4 and b/c = 3/2, what is c/a
Step-by-step explanation:
[tex] \frac{a}{b} = \frac{5}{4} \: \: \: \: \: \: \frac{b}{c} = \frac{3}{2} [/tex]
[tex] \frac{a}{b} \times \frac{b}{c} = \frac{5}{4} \times \frac{3}{2} [/tex]
[tex] \frac{a}{c} = \frac{15}{8} [/tex]
[tex] \frac{c}{a} = \frac{8}{15} [/tex]
Answer:
[tex]\huge\boxed{\sf \frac{a}{c} = \frac{15}{8} \ \ OR \ \frac{c}{a}= \frac{8}{15} }[/tex]
Step-by-step explanation:
[tex]\sf Given \ that\\\\\frac{a}{b} = \frac{5}{4} \\\\\frac{b}{c} = \frac{3} {2}\\\\Multiplying \ both \ of \ the \ above \ equations\\\\\frac{a}{b} * \frac{b}{c} = \frac{5}{4} * \frac{3}{2} \\\\\frac{a}{c} = \frac{5*3}{4*2} \\\\\bold{\frac{a}{c} = \frac{15}{8} }[/tex]
Hope this helped!
~AnonymousHelper18076. Convert 23% to a fraction and then
a decimal.
Answer:
23/100
0.23
Step-by-step explanation:
Hope it helps....
Answer:
23% as a fraction is 23/100.
23% as a decimal is 0.23
Step-by-step explanation:
Consider the following exam question and student solution. Determine whether the solution is correct. If it is not correct, write a note to the student explaining why it is wrong and give a correct solution. Exam question: You can buy a 56 pound bag of flour for $9 or you can buy a 1-pound bag for .39 cents. Compare the per pound cost for the large and small bags. Student solution: The large bag price is 56 divided by 9=6.22 per pound, which is much more than the 39 cent per pound price of the small bag.
Answer:
actually a 56 pound bag cost =9
so one pound bag cost =9/56=0.16 cents
Step-by-step explanation:
Find LM.
2x-16 x-9
11
L
M
N
Answer:
LM is 8
Step-by-step explanation:
LM --> (2x-16)+(x-9) =11
Solve for x
2x+x-16-9 =113x-25=113x=36x=12Plug in this value for LM equation to solve for LM:
(2x-16)2(12)-1624-16 = 8LM is 8
Suppose that the overall probability of living to age 70 is 0.62 and that the overall probability of living to age 80 is 0.23. If a person reaches their 70th birthday, what is the probability that they will live to age 80?
Given :
P( X = 70 ) = 0.62 .
P( X = 80 ) = 0.23 .
To Find :
We need to find If a person reaches their 70th birthday, what is the probability that they will live to age 80 .
Solution :
We need to find :
[tex]P(X=70 | X=80 )[/tex]
We know ,
[tex]P(x,y ) = \dfrac{P(x)}{P(y)}[/tex]
So ,
[tex]P(X=70 | X=80 )=\dfrac{P(X=80)}{P(X=70)}\\\\=\dfrac{0.62}{0.23}=0.371[/tex]
Hence , this is the required solution .
I need to know what x is and if you could put the steps that could be really helpful (THANK YOU)
Step-by-step explanation:
Hey there!!!
Here,
Triangle BCM and triangle ABC are 2 isosceles triangle.
Solving in triangle BCM.
Angle CBM = 31° { it is the base angle.}
Angle CBM + 31° + angle BCM = 180° { sum of interior angle of a triangle is 180°}.
31°+31°+ angle BCM = 180°
Angle BCM = 180° - 62°
Therefore the measure of angle BCM = 118°.
Again,
Solving in triangle ABC.
Angle BCM + angle ACB = 180° { being linear pair}.
118°+ angle ACB = 180°
Angle ACB = 180°-118°
Therefore the measure of angle ACB is 62°.
Angle ACB = angle BAC (Base of an isosceles triangle).
Therefore the measure of angle BAC = 62°.
Now, To find x,
Angle BAC + angle ACB + angle x = 180° (sun of interior angle of a triangle is 180°).
62°+62°+angle x = 180°
Therefore the measure of angle x is 56°.
[tex]hope \: it \: helps...[/tex]
please help me it is easy,
Answer:
i think id say it is 10.5 i might be wrong though
Step-by-step explanation:
Answer:
14 lemonade serving
Step-by-step explanation:
1½+3=4½
In 4 liters we get 12 ⅓serving of lemonade
In ½ we get 1 serving of lemonade from the ½ we remain with to ⅙liters so we still add that as a serving
Total =12+1+1=14
the radius of a circular playground is 77 metre.Calculate the distance covered by a runner in 5 complete rounds around the ground.
Answer:
2419.0265 meters
Step-by-step explanation:
To find the answer you must first find the circumference of the circle. The circumference formula is C = 2 \pi r. So if you plug in 77 you get 483.8053. Then multiply that by 5 and you will have your final answer.
Choose the rate of change (slope) to match the line.
ТУ
14 2 0
2
O A 2
B
3
D.
celine
Review prog
Math plzzzzz help
Answer:
B. [tex] -\frac{3}{2} [/tex]
Step-by-step explanation:
Rate of change/slope is given as [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use the coordinate pairs of any two points on the slope/line.
Let's use the following coordinates pairs:
[tex] (-2, 4) = (x_1, y_1) [/tex]
[tex] (0, 1) = (x_2, y_2)
Plug in the values into the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]:
[tex] m = \frac{1 - 4}{0 - (-2)} [/tex]
[tex] m = \frac{-3}{0 + 2} [/tex]
[tex] m = \frac{-3}{2} [/tex]
[tex] m = -\frac{3}{2} [/tex]
Identify each of the following variables as qualitative or quantitative. a. Favorite baby name b. Color of car c. Storage space on a computer drive d. Electrical current a. Is the variable qualitative or quantitative? Why? A. Favorite baby name is a qualitative variable. Its values are numerical. B. Favorite baby name is a quantitative variable. Its values are numerical. C. Favorite baby name is a qualitative variable. Its values are not numerical. D. Favorite baby name is a quantitative variable. Its values are not numerical.
Answer:
C. Favorite baby name is a qualitative variable. Its values are not numerical.
Color of car is a qualitative variable. Its values are not numerical.
Storage space on a computer drive is a quantitative variable. Its values are numerical.
Electrical current is a quantitative variable. Its values are numerical.
Step-by-step explanation:
A qualitative variable is a variable that is categorical and isn't numerical.
For example, your favourite baby names and colours are categorical, they cannot be measured on a numerical scale
Quantitative Variable are variables that can be measured on a numeric scale. Ordinal, interval and ratio scales are quantitative scales.
Storage space can be measured on a numeric scale e.g. the storage space has 400 GB
Electric current can be measured on a numeric scale e.g. eclectic current is 50 volts
10 POINTS : What is the solution to the equation 3/5x-6=-1/6x+7, rounded to three decimal places?
Answer:
x = 16.957
Step-by-step explanation:
(3/5)x - 6 = (-1/6)x + 7
Add (1/6)x to both sides. Add 6 to both sides.
(3/5)x + (1/6)x = 7 + 6
(18/30)x + (5/30)x = 13
(23/30)x = 13
Multiply both sides by 30/23.
x = 13/1 * 30/23
x = 390/13
x = 16.957
Find the complement of the set given that U = {x | x ∈ I and −3 ≤ x ≤ 7}. (Enter your answers as a comma-separated list.) {x | x ∈ W and x < 5}
Huh?? Can u attach a picture or some
3
Which expression is closest in value to 5.66?
Let's consider the standard and usually used value of irrational numbers given in the question.
It is asked to see which is closed to 5.66So, let's see the options:
A) GiveN:
[tex] \dfrac{\pi}{2} + \pi[/tex]
Let consider π = 3.14
[tex] \dfrac{3.14}{2} + 3.14[/tex]
[tex]1.57 + 3.14[/tex]
[tex]4.71 \: (approx.)[/tex]
B) GiveN:
[tex]2\pi - 1[/tex]
Here also, let's consider the value be 3.14
[tex]2 \times 3.14 - 1[/tex]
[tex]6.28 - 1[/tex]
[tex]5.28 \: (approx.)[/tex]
C) GiveN:
[tex]4 \sqrt{2} [/tex]
Let's consider the value of √2 be 1.414
[tex]4 \times 1.414[/tex]
[tex]5.6516 \: (approx.)[/tex]
D) GiveN:
[tex]8 - \sqrt{3} [/tex]
Let's consider the value of √3 be 1.732
[tex]8 - 1.732[/tex]
[tex]6.268 \: (approx.)[/tex]
So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.
So, Correct answer is C
#CarryOnLearning
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p=a+b+c solve for b
c=90x+35
Answer:
x=bc-35 over 90
Step-by-step explanation: