Answer:
6u - 15/2 inches
Step-by-step explanation:
(2/3)rope = 4u - 5
multiply both sides by 3/2
rope = 6u - 15/2
Line FG passes through points (0, 2) and (3, 2). Line F′G′ is formed by dilating line FG by a factor of 2 about the origin. Which statement is true? Group of answer choices Line F′G′ is the original line. Line F′G′ passes through the origin. Lines FG and F′G′ are parallel to each other. Lines FG and F′G′ are perpendicular to each other.
Answer:
See the picture, it explains the correct choice is CStep-by-step explanation:
a) Line F′G′ is the original line. Falseb) Line F′G′ passes through the origin. Falsec) Lines FG and F′G′ are parallel to each other. TRUEd) Lines FG and F′G′ are perpendicular to each other. FalseSimplify the exponential expression 48 Superscript one-half.
The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?
Answer: 12 students
Step-by-step explanation:
Let X and Y stand for the number of students in each respective class.
We know:
X/Y = 2/5, and
Y = X+24
We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:
(Y-x)/(X+x) = 1
---
We can rearrange X/Y = 2/5 to:
X = 2Y/5
The use this value of X in the second equation:
Y = X+24
Y =2Y/5+24
5Y = 2Y + 120
3Y = 120
Y = 40
Since Y = X+24
40 = X + 24
X = 16
--
Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:
(Y-x)=(X+x)
(40-x)=(16+x)
24 = 2x
x = 12
12 students must transfer to the more difficult, very early morning, class.
6.
Which of the following equations describes the graph?
A. y= -2x^2 - 4
B. y= 2x^2 + 4
C. y= -2x^2 + 4
D. y= 2x^2 - 4
Answer:
C. y= -2x^2 + 4
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
−
4
)
Focus:
(
0
,
−
33
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
31
8
x
y
−
2
−
12
−
1
−
6
0
−
4
1
−
6
2
−
12
________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
4
)
Focus:
(
0
,
33
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
31
8
x
y
−
2
12
−
1
6
0
4
1
6
2
12
______________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
4
)
Focus:
(
0
,
31
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
33
8
x
y
−
2
−
4
−
1
2
0
4
1
2
2
−
4
_______________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
4
)
Focus:
(
0
,
−
31
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
33
8
x
y
−
2
4
−
1
−
2
0
−
4
1
−
2
2
4
Order the rational numbers from least to greatest
-25/7
10/7
0/7
-2/7
6/7
-7/7
Haley has 48 colored pencils and 3 cups (A, B, C). Cup A holds one more colored pencil than cup C. Cup B holds 2 more colored pencils than cup C. How many pencils does cup B contain?
Answer:
17 pencils
Step-by-step explanation:
Assume that cup C holds x pencils. In this case, cup A holds x + 1 pencils, and cup B holds x + 2 pencils. We know that all of the cups together hold 48 pencils. If we add what we got together, we would get x + x + 1 + x + 2 = 48. 2x + 1 + x + 2 = 48. 2x + x + 1 + 2 = 48. 3x + 1 + 2 = 48. 3x + 3 = 48. 3x = 48 - 3. 3x = 45. x = 45 / 3. x = 15. Now, we know that cup C holds 15 pencils, and from here, we can find the number of pencils in cup B by adding 2 to 15 and getting 17, and that would be your answer.
Tell me if I'm wrong :)
Answer:
12
Step-by-step explanation:
Richard buys a balance being priced at 799 shipping and handling or an additional 30% of the price how much shipping and handling will Richard pay
a shopkeeper sold an article at a gain of 5%.if he had sold it for rs. 16.50 less, he would have lost 5%.find the cost price of the article.
Answer:
m,ouih
-step explanation:
Find the 8th term of the G.P 9,3,1,
Answer:
a=9 , d=6 n=8
a+(n-1)d = an
9+(8-1)6 = an
9+7×6 = an
9+42 = an
51 = an
Find the x-intercept of y=1/2x-4
Answer:
X=1/2
Step-by-step explanation:
Y=mx+b
Which expressions are equivalent to 2^5 2^4? CHECK ALL THAT APPLY!!!
2^20
2.2^9
2^10 • 2²
2^-2 2^11
(2.2.2.2.2).(2.2.2.2)
Answer:
last option is correct
...................................
Can someone help me please
Step-by-step explanation:
it just means to convert these equations into function definitions.
and a function looks like
y = ... something with x, factors, other functions, constants
1)
x + y = z
y = -x + z or z - x
2)
x - y = z
x - z = y or y = x - z
3)
x × y = z
y = z/x
4)
x/y = z
x = z × y
x/z = y or y = x/z
Colin invests £980 into his bank account. He receiv 0.3% per year simple interest. How
much will Colin have after 7 years? Give your answer to the nearest penny where appropriate.
Answer: 1,000.77
Step-by-step explanation:
After 1 year: 980 + 0.3% = 982.94
After 2 years: 982.94 + 0.3% = 985.89
After 3 years: 985.89 + 0.3% = 988.85
After 4 years: 988.85 + 0.3% = 991.82
After 5 years: 991.82 + 0.3% = 994.80
After 6 years: 994.80 + 0.3% = 997.78
After 7 years: 997.78 + 0.3% = 1,000.77
Brainliest?
BOWLING A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2.5x+3
represents the cost y of bowling x games. Interpret the parameters of the function.
If one piece of furniture was sold every 3/4 hour, how many pieces of furniture are sold in 3 hours
Answer:
Two pieces of furniture.
Step-by-step explanation:
3 hours times 1 piece of furniture every 3/4 hours:
3 · [tex]\frac{3}{4}[/tex] = [tex]\frac{3*3}{4}[/tex] = [tex]\frac{9}{4}[/tex] = 2.25
Assuming that pieces of furniture cannot be sold in parts, 2 whole pieces of furniture will be sold in 3 hours.
describe a set of data that has neither a positive nor a negative association , but does have a valid trend line
Answer:
Step-by-step explanation:
The points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.
Given that, a set of data that has neither a positive nor a negative association, but does have a valid trend line.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
If the points on the scatter plot seem to form a line that slants down from left to right, there is a negative relationship or negative correlation between the variables. If the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.
Therefore, the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.
To learn more about the scatter plot visit:
https://brainly.com/question/29231735.
#SPJ2
What is the inverse of the following statement: “If x is a whole number, then x = 5”?
If x is not a whole number, then x ≠ 5.
If x = 5, then x is a whole number.
If x ≠ 5, then x is not a whole number.
If x is not a whole number, then x = 5.
I NEED TO FINISH THESE BY NEXT WEEK>
Answer:
domain is (2,-3)
range is (1)
Solve for x and not to scale
Answer:
x = 90
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{BC}{NE}[/tex] = [tex]\frac{AB}{TN}[/tex] , substitute values
[tex]\frac{3}{27}[/tex] = [tex]\frac{10}{x}[/tex] ( cross- multiply )
3x = 270 ( divide both sides by 3 )
x = 90
Find the length of side x to the nearest tenth.
309
X
60°
A sink can hold 10 gallons of water.how many quarts of water can the sink hold?
Answer:
40 quarts
Step-by-step explanation:
one gallon is 4 quarts, so ten gallons would be 40.
4(quarts) x 10(gallons) = 40(number of quarts in the 10 gallons)
Which expression shows the distance on the number line between −7 and 16?
∣∣−7+16∣∣
∣∣−7−16∣∣
∣∣−16−(−7)∣∣
∣∣7−16∣∣
Answer:
c
Step-by-step explanation:
Hope this helps
Brainliest pls
Have a great day!
Helppppppppplplppppai
Answer:
D.
Step-by-step explanation:
Well, here we look at the frequency to determine probability. As a dice has 3 even and odd numbers, the probability shall be gotten by dividing the total number of frequencies for even numbers (2,4,6) by the total number of trials.
i.e (10+10+9)/50
so the probability is 29/50 or 0.58 or 58%
Since the probability of getting even numbers is 0.58 and since the total probability is always 1, we can clearly see that the probability of one rolling an even number as per the sample is higher than that of rolling an odd number.
A cylinder has a base radius of 10m and a height of 18m. What is its volume in cubic m, to the nearest tenths place?
Based on the question, the volume of the cylinder is approximately 56,520 cubic meters.
What is the cylinder volume?The formula for the volume of a cylinder is seen as:
V = πr²h
where
V = volume
r = radius of the base
h = height of the cylinder.
Then by Substituting the given values, we will have:
V = π(10m)²(18m)
= π(100m²)(18m)
= 18000π cubic meters
To be able to find the value to the nearest tenths place, we need to use π ≈ 3.14. hence:
V ≈ 18000 × 3.14
= 56520 cubic meters
Therefore, the volume of the cylinder is about 56,520 cubic meters to the nearest tenths place.
Learn more about cylinder from
https://brainly.com/question/9554871
#SPJ1
I don't get this. (write a linear function f with the given values)
Answer:
f(x) = (1/2)x
Step-by-step explanation:
f(x) = mx + b
m is the slope
b is the y-intercept
m = rise/run
for every run of 2 in x
f(x) rises 1
m = 1/2
The y-intercept occurs when x = 0
from the table f(0) = 0
b = 0
Therefor
f(x) = (1/2)x + 0
f(x) = (1/2)x
Answer:
[tex]f(x) = 1/2*x[/tex]
Step-by-step explanation:
Linear functions are functions of the form "f(x) = a * x + b" where 'a' and 'b' are constants (numbers) and x is the input.
In this problem, you are given the inputs and outputs of the function. Since you know it is linear, you begin thinking about what number you can multiply on the left to get the value on the right.
-4 / 2 = -2
-2 / 2 = -1
0 / 2 = 0
We find that dividing x by 2 gives the correct output. Dividing by 2 is the same as multiplying by 1/2. Therefore, we have found the answer!
f(x) = 1/2 * x
Solve the equation the square root of the quantity x plus 4 minus 3 equals 1 for the variable. Show each step of your solution process. (10 points) SOLVE FOR X
x + 4 - 3 = 1
x + 1 = 1
x = 0
Answer:
x = 8
Step-by-step explanation:
√x + 4 - 3 = 1
1) Move constant terms to the opposite side of the equation: √x + 4 = 1 + 3
2) Simplify the right side: √x + 4 = 4
3) Now square both sides to eliminate the square root: (√x + 4)^2 = 4^2 (x + 4) = 16
4) Move the constant term to the other side: x + 4 = 16 – 4
5) Simplify the right side: x + 4 = 12
6) Move constant side to the other side: x = 12 – 4
7) Finally, after simplifying the right side again, you get: x = 8
Therefore, the solution to the equation √(x + 4) - 3 = 1 is x = 8.
100 POINTS IF U GET THIS RIGHT!
Answer:
●y= mx + c
y = 9x + 1/2
slope m =9
Factor the expression
n^2-15n+56
Answer:
(n-8)(n-7) this is the answer I hope it helped you
Answer:
(x - 7)(x - 8)
Step-by-step explanation:
Factor this into the form:
(x +/- a)(x +/- b)
As the third term is a positive and the second is negative, we know that the two operators are subtract:
(x - a)(x - b)
Find the factors of 56:
1 56
2 28
4 14
7 8
The two factors we need will add up to 15, so this is 7 and 8. This means the factor form is:
(x - 7)(x - 8)
Hope this helps!
When you mail a package that weighs more than one ounce, the Post Office charges 34 cents for the first ounce and 23 cents for each additional ounce.
Write a mathematical model of this question (in words). Let N stand for the number of ounces.
Total Cost =
How much does a package that costs $2.18 weigh?
Answer:
9 ounces
Step-by-step explanation: i just started with 0.34 and added 0.23 until i got to 2.18 lol
geometry Solve for x
