Answer:
The correct option is;
DE/PQ = 3/2 which is StartFraction DE Over PQ Endfraction = three-halves
Step-by-step explanation:
The information given bout the triangles are;
DF/PR = FE/RQ = 3/2
Therefore since the given sides of triangle DEF are 3/2 times the sides of triangle PQR, the given sides of triangle DEF have been scaled 3/2 times to get the given sides of triangle PQR
Therefore, to prove that ΔDEF ~ ΔPQR, the ratio of the third side of triangle DEF, that is DE, to the third side of triangle PQR, which is PQ must be three-halves.
Answer:
The answer is DE/PQ = 3/2 or D.
Step-by-step explanation:
Just did it on edge. hope you do good :)
Please help me with this question
Answer:
E.
Step-by-step explanation:
so first you would add 8 to both sides to get
3w = t + 8
then divide both sides by 3
w = (t + 8) / 3
So the answer is E.
Answer: E) w = (t+8)/3
Step-by-step explanation:
Solve for w in terms of t means you have to isolate w. Thus, simply do the following:
[tex]3w-8=t\\3w=t+8\\w=\frac{t+8}{3}[/tex]
Hope it helps <3
The cost of a car is supposed to be no more than 80% of the value for the next year's
model. If a car costs $14,000, what is the cost of the next year's model?
Answer:
x ≥ 17,500
Step-by-step explanation:
To solve this problem, we will follow the steps below:
let x be the cost of the next year's model
Writing the question in a mathematical format yield
$14,000 ≤ 80% of x
This implies ;
80% of x ≥$14,000
80% × x ≥$14,000
[tex]\frac{80X}{100}[/tex] ≥ $14,000
multiply both-side of the inequality by 100
[tex]\frac{80X}{100}[/tex] × 100 ≥ $14,000 × 100
at the left hand-side of the inequality 100 will cancel-out 100 leaving us with just 80x
80x ≥ $1,400,000
Divide both-side of the equation by 80
80x /80 ≥ $1,400,000/80
x ≥ 17,500
7. If the length of the side of a table is 3 more than twice its width, what is the expression
of its perimeter?
a. Draw an image and show all your work to demonstrate your thinking and
understanding of this problem.
b. If the perimeter is 30, what is the width of the table? Show your work
Answer:
Step-by-step explanation:
Width =w
Length = 2w + 3
Perimeter = 2*(length +width)
= 2*(2w +3 + w )
= 2*(3w + 3)
= 6w + 6
b) Perimeter = 30 units
6w + 6 = 30
Subtract 6 form both sides
6w = 30- 6
6w = 24
Divide both sides by 6
6w/6 = 24/6
w = 4
l = 2w + 3
= 2*4 + 3
= 8 + 3
= 11
Length = 11 units
Width = 4 units
13. Write the equation of a horizontal line that passes through the point (3, -3).
O x = -3
Ox= 3
O y = 3
O y = -3
Answer:
O y = -3
Step-by-step explanation:
The line is horizontal.
x = -3 and x = 3 are vertical lines, so they are incorrect.
The line passes through (3, -3).
(x , y)
Put y as -3.
y = 3
(-3) = 3
Line y = 3 is incorrect.
(-3) = -3
Line y = -3 is correct.
Answer:
O y = -3
Step-by-step explanation:
Equations beginning with 'x=' would form a vertical line, not a horizontal line.
The point (3,-3) would satisfy y = -3.
-3 = -3
O y = -3 should be the correct answer.
helpppppppppp plsssssss
Hey there! :)
Answer:
a) Blue.
b) 1/2.
Step-by-step explanation:
Find the probabilities for each color:
Blue: 1/8
Yellow: 3/8
Green: 4/8 or 1/2
a) The color that the spinner is the least likely to land on has the smallest probability, which in this instance, is blue.
b) The probability of the spinner landing on green can be determined by:
# of green sections /total
Therefore:
4 / 8
Simplify the fraction:
4 / 8 = 1 / 2.
Answer:
a) Blue
b) 1/2
Step-by-step explanation:
a) The colors on the spinner are blue (B), green (G), and yellow (Y).
(B) = 1/8
(G) = 4/8
(Y) = 3/8
The spinner is least likely to land on the color blue.
b) The probability that the spinner lands on the color green is 4/8. The spinner has 8 equal sections, 4 of the sections are green.
4/8 can be simplified to 1/2.
In a class full of men and women, [tex]\frac{2}{9}[/tex] of the class are women. What is the ratio of men to women in its simplest form?
Answer:
Hey there!
Let's pretend that there are only 9 people in that class. Thus, if 2/9 were women, then 2 people would be women.
Thus, 7 people would be men.
The ratio of men to women would be 7:2.
Hope this helps :)
13/4-1=
2 1/4
1 1/2
2 1/2
1 1/4
Answer:
2 1/4
Step-by-step explanation:
13/4 is 3 1/4 because 13 divided by 4 is 3 with a remainder of 1. So from there you subtract 1 from the whole number 3 and are left with 2 1/4. I hope that makes sense! :)
Answer:
2 1/4
Step-by-step explanation:
13/4 = 3 1/4
1 = 1
3 - 1 = 2 1/4
to make it easier to explain you can say. Number 1 box is 57 number 2 box is77 something like that
Answer:
Box 1=5 Box2=6 Box3=8 Box4=200
Step-by-step explanation:
Answer:
Step-by-step explanation:
No.of balloons each will get = 5
no.of greeting cards = 6
no.of apples in each basket = 8
no. of words = 200words
hope it helps
NY Newsstand has an annual payroll of $288,000. What is the FICA for NY
Newsstand?
A. $22,032
B. $76,500
C. $25,684
O D. $28,800
Answer:
It is A $288,000
Step-by-step explanation:
Answer:
A. $22,032
Step-by-step explanation:
FICA includes both social security tax (6.2%) and Medicare tax (1.45%), for a total tax rate of 7.65%.
0.0765 × $288,000 = $22,032 . . . FICA tax
use the elimination method to solve the system of equations. Choose the correct ordered pair. 5x-y=27 and 5x+4y=42
Answer:
(6,3)
Option B is the right option.
please see the attached picture for full solution...
Hope it helps....
Good luck on your assignment...
Evaluate the following expression when x = 6 and y = 2: Fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator. 2.25 5.5 17.25 27.5
Answer:
Option B.
Step-by-step explanation:
The given expression is
[tex]\dfrac{x^2+y^3}{2+x}[/tex]
We need to find the value of given expression when x=6 and y=2.
Substitute x=6 and y=2 in the given expression.
[tex]\dfrac{x^2+y^3}{2+x}=\dfrac{(6)^2+(2)^3}{2+(6)}[/tex]
[tex]=\dfrac{36+8}{8}[/tex]
[tex]=\dfrac{44}{8}[/tex]
[tex]=5.5[/tex]
The value of given expression is 5.5 when x=6 and y=2.
Therefore, the correct option is B.
Answer:
he given expression is
We need to find the value of given expression when x=6 and y=2.
Substitute x=6 and y=2 in the given expression.
The value of given expression is 5.5 when x=6 and y=2.
Therefore, the correct option is B.
Step-by-step explanation:
Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form
Answer:
f(x) = (x - (-5))^2 + (-18)
Step-by-step explanation:
Given:
f(x) = x^2 + 10x + 7
Rewrite f(x) in vertex form
Solution:
f(x) = ax^2 + bx + c is a quadratic function.
The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.
=> f(x) = x^2 + 10x + 7
= x^2 + 10x + 25 - 18
= (x + 5)^ - 18
= (x - (-5))^2 + (-18)
=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18
What is the length of segment AD.
Answer:
AD= 5.82 units (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
*skipped these steps in the beginning:
∠ABC +∠ABD= 180° (adj. ∠s on a str. line)
90° +∠ABD= 180°
A factory can work its employees no more than 6 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve
the inequality to determine the range in hours if the work day is 6.5 hours. Show all of your
work.
Answer:
Step-by-step explanation:
Answer: A.) 2 <= X <= 6
B.) 13 < = X < = 39
Step-by-step explanation:
Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week
And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.
Let X represent the number of days an employee can work per week.
According to the first statement,
X < = 6
According to the second statement,
X >= 2
An inequality to represent the range of days an employee can work will be
2 < = X <= 6
To represent the range in hours, first convert the number of days to hour. Given that an employee can work
1 day = 6.5 hours
2 days = 2 × 6.5 = 13 hours
5 days = 6 × 6.5 = 39 hours
Therefore, the range will be
13 < = X < = 39
The height of a window is 0.6 feet less than 2.5 times its width. If the height of the window is 4.9 feet, which equation can be used to determine x, the width of the window? 2.5 x + 0.6 = 4.9 2.5 x minus 0.6 = 4.9 0.6 x + 2.5 = 4.9 0.6 x minus 2.5 = 4.9
answer
2.5 x-0.6=4.9
Step-by-step explanation:
The height of a window is 0.6 feet less than 2.5 times its width.
If the height of the window is 4.9 feet.
Substitute in [1] we have;
2.5x-0.6 = 4.9
Therefore, an equation can be used to determine x, the width of the window is, 2.5x-0.6 = 4.9
Answer:
Or B
Step-by-step explanation:
for those you look for letters only
Help help please....Thanks
Answer:
Turkey - No
Brazillian - 8160 g and Kenyan - 2040
Step-by-step explanation:
45 Min x 4.4 kg = 198 Minutes
198 Min + 65 Min = 263 Min or 4.38 Hours
------------------------------------
120 cups x Total Grams needed ( 85 g ) = 10200
10200 / 5 as this is a 4 : 1 ratio = 2040
2040 x 4 = 8160
2040 x 1 = 2040
Jana has £1500 in her bank account.
She has 270 euros of money left from her last holiday and
she wants to put this into her bank account.
The bank will convert the euros into pounds using £1 =
1.1452 euros.
The bank deducts a fee of £0.89 from her savings account
for this conversion.
How much money does Jana now have in her bank
account?
£99. semoga membantu maksih
Answer:
The answer is 99 dollars
Step-by-step explanation:
Not showing workout...
Just showing how
1) Multiply 1.1452 * 270
2) Multiply 0.89 * 270
3) Subtract the second step from the first step
Hope this helps....
Pls mark my ans as brainliest :)Find the area of a rectangle whose side lengths are 4x² and 6x²– 3x.
A. 24x⁶– 12x²
B. 24x⁴ - 3x
C. 24x⁴ - 12x³
D. 20x³- 6x²
Answer:
c
Step-by-step explanation:
4x^2(6x^2-3x)
=24x^4-12x^3
Answer: C. 24x⁴ - 12x³
Step-by-step explanation:
The area of a rectangle is length × width.
4x² × (6x²– 3x) to answer this, we multiply 4x² for each term inside the parentheses.
4x² × 6x² = 24x⁴ (4 × 6 = 24 and x² × x² = x⁴)
4x² × -3x = -12x³ (4 × -3 = -12 and x² × x = x³)
So the answer is 24x⁴ - 12x³
One-quarter of the Math Olympiad participants are two-thirds of the Genius Circle students. Eight Genius Circle students did not participate in the Olympiad. What is the total number of students who participated in the Math Olympiad?'
Answer:
64
Step-by-step explanation:
This question is actually not hard just requires careful calculations.
So we know that 1/4 of MO (Math Olympiad) = 2/3 of GC (Genius Circle)
It also gives that 8 GC Members did not go to MO
So using these statements, we can find that
a. 1/3 of GC = 8 members --> and
b. 2/3 of GC = 16 which makes -->
c. 1/4 of MO = 16
Using these statements we can simply calculate 16 x 4 = 4/4 = 1
1 = Total amt. of participants in the MO => 16(4)
64
Hope this helps!
I honestly don't know how to explain this further
Answer:
24
Step-by-step explanation:
divide 65/8 and then multiply that by 3 and round to the nearest whole number
Suppose f(x) = x2 and g(x)= (1/4x)2Which statement best compares the
graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) shifted į units right.
B. The graph of g(x) is the graph of f(x) horizontally compressed by a
factor of 4
C. The graph of g(x) is the graph of f(x) vertically stretched by a
factor of 4.
D. The graph of g(x) is the graph of f(x) horizontally stretched by a
factor of 4.
Answer:
B.
Step-by-step explanation:
Since the variable b is manipulated in f(x) = a(bx - h)² + k, we are dealing with horizontal compression and stretching. Since b < 1, that means the graph is being horizontally compressed.
Solve -8x+4 ≤ 36
A. x ≥ -4
B. x ≤ 4
C. x ≥ 4
D. x ≤ -4
Answer:
x≥-4
Step-by-step explanation:
-8x≤36-4
-8x≤32
x≥32/-8 when divide by minus you flip from≤ to ≥
x≥-4
Answer:
x ≥-4
Step-by-step explanation:
-8x+4 ≤ 36
Subtract 4 from each side
-8x+4-4 ≤ 36-4
-8x ≤ 32
Divide by -8 remembering to flip the inequality
-8x/-8 ≥ 32/-8
x ≥-4
[tex]\frac{y-95}{4} = 1[/tex]
y = _____
the number 4,928 will be rounded to the nearest hundred. what is the rounding digit
Answer:
4928 rounded to the nearest hundred is:
4900
Step-by-step explanation:
Hope this hepls you!!
The number 4,928 will be rounded to the nearest hundred is 4900.
What is rounding off numbers?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off.
Given to round off 4928 to the nearest 100
steps to round off,
Determine the two consecutive multiples of 100 that bracket 4928
4928 is between 4900 and 5000
4950 is the midpoint between 4900 and 5000
from the number line, 4928 is less than the midpoint 4950,
Therefore, 4928 rounded to the nearest 100 is 4900.
Hence the digit is 4900.
Learn more about rounding off numbers;
brainly.com/question/13391706
#SPJ2
Help ASAP! Will name brainliest! Questions: Maximize the objective function P = 5x + 7y for the given constraints. x ≥ 0 y ≥ 0 2x + 3y ≤ 18 5x + 2y ≤ 23 Answers: 52, 43, 23, 30
Answer:
43
Step-by-step explanation:
If p(x) = x2 - 1 and 4(x) = 5(x-1), which expression is equivalent to (p - 9)(x)?
5(x - 1) - x2-1
(5x-1) -(x2-1)
(x2 - 1) - 5(x - 1)
(x2-1) - 5x-1
Answer:
x^2 - 10 = (p - 9)(x)
Step-by-step explanation:
Please indicate exponentiation with the symbol " ^ ": p(x) = x^2 - 1.
To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:
(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)
Find the volume of a pyramid with a square base, where the area of the base is
5.5 cm² and the height of the pyramid is 6.4 cm. Round your answer to the nearest
tenth of a cubic centimeter.
Rounded it is 11.7 cubic cm.
PLZ HELP!! HURRY!!!30POINTS!!
Answer:
c. We use tan∅ to solve
d. x ≈ 45.64 ft
Step-by-step explanation:
Step 1: Draw out the picture
When we do so, we should be able to see that we are solving for the horizontal leg.
Step 2: Find the trig
tan78° = 214.7/x
xtan78° = 214.7
x = 214.7/tan78°
x = 45.6359
Parents sold 275 tickets for a fundraiser at the community center. Student tickets cost $3, and adult tickets cost $5. The total value of tickets sold is $1,025. Which system of equations represents the problem? 3x + y = 275 x + 5y = 1025 y = 275 3x + y = 1025 x + y = 275 3x + 5y = 1025 y = x + 275 x + y = 1025
Answer:
3x+5y=1025
x+y=275
Step-by-step explanation:
We can use system of equations to solve this problem. Let's use x for student tickets and y for adult tickets.
Equation 1
3x+5y=1025
This equation comes from the cost of tickets. Each child ticket costs $3 and each adult ticket costs $5. The total value of tickets sold is $1025.
Equation 2
x+y=275
The total amount of tickets sold was 275.
What is the quotient of 6/7 divided by 3/14
Answer:
6/7 ÷ 3/14
= 6/7 × 14/3
= 2/7 × 14 (we cancelled 3 with 6)
= 2×2 (we cancelled 7 with 14)
= 4
hope it helps
Step-by-step explanation:
Answer:
[tex]\frac{6}{7} / \frac{3}{14} = \frac{6}{7} x \frac{14}{3} = (6)(14) / (7)(3) =\frac{84}{21} = 4[/tex]
Step-by-step explanation:
Hope this helps you!! ( BTW this means / Divide ).