Answer:
2x+8=11
Step-by-step explanation:
The equation 2x + 8 = 11 would be the answer.
2 (coefficient) ----> it would multiply by the unknown value represented by the common variable "x".
Because in the given situation, it says twice (means 2 multiplied by a number or a number multiplied twice by itself) then multiplication would be the order of operation used between the 2 and x.
The "and" indicates the order of operation addition, as it is proven as the only given options for the answer all equal 11.
Therefore, proving that option A is the answer.
The solution set for the equation of a circle is all the_____ on the circle.
(21*3+8)-17+(85-12+9-45)
Answer:
91
Step-by-step explanation:
(21)(3)+8−17+85−12+9−45
=63+8−17+85−12+9−45
=71−17+85−12+9−45
=54+85−12+9−45
=54+73+9−45
=54+82−45
=54+37
=91
A pot has3/10pound of soil. Rex adds some soil. Now it
has 9/10pound. How many pounds of soil did Rex add
A small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream. Find the rate of the current. (Hint: 8+x= rate going downstream and 8−x= rate going upstream.)(Round your answer to the nearest tenth.)
The rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
Let's suppose the rate of the current = r
The time it takes to go downstream + 4 hours = time to go upstream
As we know the:
[tex]\rm Time = \dfrac{Distance}{ Rate }[/tex]
Now,
[tex]\rm \dfrac{44}{ (8 + r)} + 3 = \dfrac{44}{ (8 - r)}[/tex]
After solving:
[tex]\rm \dfrac{44}{ (8 - r)}-\dfrac{44}{ (8 + r)} =3[/tex]
After cross multiplication
44(8+r) - 44(8-r) = 3(8+r)(8-r)
88r = 3(64 - r²)
3r² + 88r - 192 = 0
After solving the above quadratic equation, we get:
r = 2.03 or
r=−31.37 (reject as it is negative)
So, the r =2.03 mph
Thus, the rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
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After four years of higher education, Danielle just graduated with a Bachelor's degree in Legal Studies from Georgetown where the annual cost of tuition was $26,000. She paid for college by earning $12,000 annually through the work study program and receiving an annual scholarship. She covered the remainder of the costs by taking out $0 in student loans. If she didn't fund her education with savings or grant money, what was the amount of Danielle's annual academic scholarship?
The amount of Danielle's annual scholarship is $14,000.
What is the value of the annual scholarship?
Subtraction is an arithmetic operation that is used to determine the difference between two or more numbers. The sign used to represent subtraction is -.
annual scholarship = annual tuition - annual earning
$26,000 - $12,000 = $14,000
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Sand and gravel are mixed in the ratio 5:3 to form ballast.
How much sand is mixed with 750kg of gravel ?
Work Shown:
sand/gravel = 5/3
x/750 = 5/3
3x = 750*5
3x = 3750
x = 3750/3
x = 1250
Plsss I need it urgently!!!
Answer:
x = 7
y = 37
Step-by-step explanation:
congruent triangle LMN == PQR
Angle NLM = Angle RPQ
3x + 24 = 7x - 4
28 = 4x
x = 7
Angle LNM = Angle PRQ
2x + y = 180 - 84 - (7x - 4)
14 + y = 96 - (49 - 4)
14 + y = 51
y = 37
check answer
Angle LNM = 14 + 37 = 51
Angle NLM = 21 + 24 = 45
Angle LMN = 84
3 angles get a sum of 180
Has SETI detected any radio signals from extra-terrestrials?
A. No, they do not have proof radio signals can travel through space yet.
B. Yes, coming from the Andromeda galaxy.
C. Not yet, only interference signals from Jupiter.
D. Yes, coming from a nearby star, Alpha Centauri.
Answer:
C
Step-by-step explanation:
There are all types of radio signals traveling around us, just not the extra-terrestrial type!
Find the area of a sector of the circle below. Express in terms of pie and as a decimal.
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=18\\ \theta =40 \end{cases}\implies \begin{array}{llll} A=\cfrac{(40)\pi (18)^2}{360}\implies A=36\pi \\\\\\ A\approx 113.097 ~m^2 \end{array}[/tex]
Answer:
36π (m²) or ≈ 113.14 m²
Step-by-step explanation:
[tex]A_{circle}[/tex] = [tex]\pi r^{2}[/tex]
[tex]A_{sector}[/tex] = x
[tex]\frac{360^o}{40^o}[/tex] = [tex]\frac{18^2 \pi }{x}[/tex]
9 = [tex]\frac{18^2 \pi }{x}[/tex]
x = 36π
or
x ≈ 36 × [tex]\frac{22}{7}[/tex] ≈ 113.14 m ²
How is a change in the circumference of a circle related to the diameter of a circle
Answer:
let's use c as circumference, d for diameter
lets say c increases, d is related to c, d will also increase
if c decreases, d will too.
Let's put in this way.
Pretend you're at a store,
The more you spend, the more points you get in their loyalty program
C is going to be the amount you spend
D will be how many points you get
Spend more, more points
spend less, less points
P.S
C is the independent variable, D is the dependent variable. (I think that's the right way, if not ignore the postscript aka P.S)
The volume of a cone is 735 pi cubic millimeters and the height is 5 millimeters. What is the radius of the cone.
Answer:
7 mm
Step-by-step explanation:
735pi=1/3*5*pi*r^2
735pi/1/3pi
147=5*r^2
49=r
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An art museum has 20 large cylindrical columns in its lobby. Each column has a height of 22 feet from
the floor to the ceiling and a diameter of 2.5 feet. If a gallon of paint covers 350 square feet, how
many gallons of paint must be purchased to paint the lateral surface area of all of the columns?
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The amount of paint needed to paint 20 pillars is 9.874 gallons.
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.
The curved surface area of a single-cylinder with a diameter of 2.5 feet and a height of 22 feet will be,
Curved surface area = πDh = π × 2.5 × 22 = 172.7875 ft²
The total area of 20 pillar = 20 × 172.7875 ft² = 3,455.75191 ft²
Since a gallon of paint can cover only 350 ft², therefore, the amount of paint that will be needed to paint 3,455.75191 ft² can be written as,
[tex]\text{Amount of paint needed} = \dfrac{3,455.75191\rm\ ft^2}{350\rm\ ft^2} = 9.874\rm\ gallons[/tex]
Hence, the amount of paint needed to paint 20 pillars is 9.874 gallons.
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A rectangular garden is 5ft longer than it is wide. It’s area is 6800ft2. What are its dimensions
Answer:
Width = 80 ft and length = 85 ft.
Step-by-step explanation:
Let the width be x ft then the length is x+5 ft.
width * length = area, so
x * (x + 5) = 6800
x^2 + 5x - 6800 = 0
( x - 80)(x + 85) = 0
x = 80, -85
We ignore the negative so x = 80 ft.
Width = 80 and length = 80+5 = 85 ft.
A survey of high schools offering honors classes to ninth graders reveals that 38% of the high schools offer no honors classes, 12% offer one honors class, 25% offer two honors classes, 20% offer three honors classes, and 5% offer four honors classes.
A high school is selected at random. What is the probability that it offers an even number of honors classes?
0.62
0.30
0.68
0.32
Using the discrete distribution, it is found that the probability that it offers an even number of honors classes is of 0.68.
What is the discrete probability distribution?The distribution for the number of honors classes the school offers is given by:
P(X = 0) = 0.38P(X = 1) = 0.12.P(X = 2) = 0.25.P(X = 3) = 0.2.P(X = 4) = 0.05.Hence the probability of an even number is given by:
P(even) = P(X = 0) + P(X = 2) + P(X = 4) = 0.38 + 0.25 + 0.05 = 0.68.
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Write an equation for the translation of y =5/x
that has the asymptotes x= -7 and y= 7
The equation for the translation of y = 5/x is y = 5/(x+7) + 7 if that has the asymptotes x= -7 and y= 7
What is hyperbola?
It is a curve in two-dimensional geometry having two parts, they both are symmetric. In other words, It can be defined as the number of points in the two-dimensional geometry that have a constant difference from that point to two fixed points in the plane.
We have:
[tex]\rm y = \dfrac{5}{x}[/tex]
Vertical asymptotes x= -7 and
Horizontal asymptotes y= 7
After translation:
[tex]\rm y = \dfrac{5}{x+7}+7[/tex]
Thus, the equation for the translation of y = 5/x is y = 5/(x+7) + 7 if that has the asymptotes x= -7 and y= 7
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Yesterday, Brad's Snack Shack went through 1 1/2 bottles of ketchup. If they used 1/2 as much mustard as ketchup, how many bottles of mustard did they go through? Write your answer as a fraction or as a whole or mixed number. bottles Submit
1 1/2 = 1.5
1/2 as much as 1.5 is .75 or 3/4 of a bottle of mustard.
Brad's Snack Shack used 3/4 of a bottle of mustard yesterday.
Hope this helps <3
only answer if you know!! no spams
Answer:
The answers would be D and C.
Hope this helps!
Probability Math Question
Help would be appreciated:))
Answer:
Hi, your answer here would be based on reading this graph. For question a, there are a total of 12 people who like vanilla with sprinkles, which means that it is 12 out of 24 or 1/2 or 0.5 or 50 percent.
For b) there is a total of 9 for chocolate, so the probability is 9 out of 24 or 37.5 percent or 3/8 or 0.375
For c) there are a total of 6 with no sprinkles out of 24 so it is 1/4 or 0.25 or 25 percent.
Step-by-step explanation:
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Use the quadratic formula to solve x^2- 5x + 3 = 0.
Answer: Heyaa! ~
Your Answer is... x = 5 ± √ 13/ 2
Step-by-step explanation:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Hopefully this helps you!
-Matthew ^^
What is the value of the expression (3/4)³
81/256
27/64
9/12
27/4
Answer:
9/12
Step-by-step explanation:
Answer:
The answer is
9 over 12
9/12
what is the greatest common factor of 25,65 and 100
Answer:
5
Step-by-step explanation:
List out the factors of each number (25,65,100) and get the largest common number which is 5 in this case.
Answer:
Five
Step-by-step explanation:
Prime factorize the three of them to find the answer
25 = 5 x 5
65 = 5 x 13
100 = 5 x 5 x 2 x 2
Factor the GCF 7x^2+21x-35
Answer:
(7)(x² + 3x - 5)
Step-by-step explanation:
To Find the GCF : Prime factorize each term
7x² = 7 × x²21x = 7 × 3 × x-35 = 7 x -5As seen above, we can conclude the GCF is 7.
Therefore, by factoring using the GCF :
(7)(x² + 3x - 5)The figure below shows a rectangular lawn. 23ft 14ft (a) Use the calculator to find the perimeter and area of the lawn. Make sure to include the correct units. Perimeter: Area: (b) The lawn will be mowed. Which measure would be used in finding how long it will take? Perimeter Area (c) The lawn will be surrounded by a rope. Which measure would be used in finding how much rope to buy? Perimeter Area
The area and perimeter of the lawn will be 322 square feet and 74 feet. If the lawn will be mowed. Then the area will be used. If the lawn will be surrounded by a rope. Then the perimeter will be used.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The figure below shows a rectangular lawn.
Then the area of the rectangle will be
Area = 23 × 14
Area = 322 square feet
Then the perimeter of the rectangle will be
Perimeter = 2 (23 + 14)
Perimeter = 2 × 37
Perimeter = 74 feet
If the lawn will be mowed. Then the area will be used.
If the lawn will be surrounded by a rope. Then the perimeter will be used.
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Order the numbers from greatest to least?
2/9, 21%, 5/20, 8%
Answer:
5/20, 2/9, 21%, 8%
Step-by-step explanation:
2/9 = 0.22
21% = 0.21
5/20 = 0.25
8% = 0.08
0.25>0.22>0.21>0.08
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A box contains several of Mrs. Spencer's new pamphlets. The box weighs 2,000 grams. This chart shows the effect of
adding a pamphlet
Pamphlets Added to the box (x) Effect on the Box's Weight, in grams (1)
0
0
1
6
2
12
3
18
Which statement is true about a proportional relationship such as the one illustrated in this table?
o As the value of x decreases. Increases.
As the value of x increases, y increases
The unit rate that describes the relationship of y to x is 3.
Weight is the independent variable, and the number of pamphlets is the dependent variable
Answer: 20,042
Step-by-step explanation: addion
13. What is the distance between the y-intercept of the function f(x) = 2(3)* and the y-intercept of the function g(x) represented by the table below?
Answer:
the answer is letter C.
I hope this can help you!
Arun is caring for many yellow-spotted salamanders. He weighs each and
then counts the number of yellow spots on its back. Which trend line best fita
the data?
Answer:
The answer is B.
Step-by-step explanation:
Looking at the option, a trend line best fits the data within the plot. Seeing Answer B has the line that goes through the plot.
Which mixed number is equivalent to
19/3
Answer:
6 1/3
Step-by-step explanation:
You just have to see how many times it goes into it
Label the scatterplot correctly
. A parcel delivery service lowered its A parcel delivery service lowered its prices and finds that it has delivered twice as many parcels this year as it did last year. To illustrate this fact, the manager draws a graph as shown below. The side length of the "parcel" on the right is twice the side length of the "parcel" on the left. Is this graph misleading? Yes, the cube on the right is more than twice as large as the cube on the left. No, the parcels sold can fit into the cubes displayed. Yes, cubes can never be used fairly to depict data. No, the proportions of the two cubes are accurate.prices and finds that it has delivered twice as many parcels this year as it did last year. To illustrate this fact, the manager draws a graph as shown below. The side length of the "parcel" on the right is twice the side length of the "parcel" on the left. Is this graph misleading? Yes, the cube on the right is more than twice as large as the cube on the left. No, the parcels sold can fit into the cubes displayed. Yes, cubes can never be used fairly to depict data. No, the proportions of the two cubes are accurate.
Answer:
Yes, the cube on the right is more than twice as the cube on the left.