Answer:
Yes
Step-by-step explanation:
You can take 1/2 and find a common denominator if this helps you.
We will multiply 1/2 by 25/25 because 25/25 equals 1 so you get the same amount just with a different numerator and denominator. So you get 25/50 and then you compare. 31/50 > 25/50
Consider the trapezoid with given dimensions. Suppose it is dilated by a scale factor of
1
4
.
A trapezoid with bases of 18 feet and 12 feet, height of 4 feet, and side length of 5 feet.
What statements are true? Check all that apply.
The height of the new trapezoid will be 1 ft.
The height of the new trapezoid will be 16 ft.
The area of the new trapezoid is One-fourth times the area of the original trapezoid.
The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.
The area of the new trapezoid is 4 times the area of the original trapezoid.
Answer: 1 & 4
Step-by-step explanation:
Just did it
Answer:
A.The height of the new trapezoid will be 1 ft.
D.The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.
Step-by-step explanation:
edg2020
Point P has coordinates P(-2, 4). What are the coordinates of the image P'' after I translate point P: 4 units to the right 2 units down and then 1 unit to the left and 5 up? 1. The x-coordinate of P'' is: 2.The y-coordinate of P'' is:
Answer:
P''(1, 7)
Step-by-step explanation:
4 units right and 1 left will add a net of +3 to the x-coordinate.
2 down and 5 up will add a net of +3 to the y-coordinate.
The coordinates of P with 3 added to each are ...
P'' = P(-2, 4) +(3, 3) = P''(1, 7)
if a = -5 find the value of 3a ²
Answer:
75
Step-by-step explanation:
We just need to plug in -5 for a so the answer is:
3a² = 3 * (-5)² = 3 * 25 = 75
Answer:
75
Step-by-step explanation:
A= (-5)²= 25
3(25)=75
PLEASE HELP!! 20 POINTS
Answer:
5/12
Step-by-step explanation:
take the number of students who read under6 books (5) and divide by total amount of students (12)
5/12
Answer:
5/12
Step-by-step explanation:
there are a total of 12 books read and a frequency of 5 books read that is fewer than 6 books
Mikel has a chance to win a trip on a TV game show. All he has to do is win the "Shopping Game". In this game, Mikel is shown six grocery store items without being shown the prices. He must buy multiples of items until he has a total between $20 and $21 inclusive. If he doesn’t reach $20 with his first item, he continues buying items and adding to his total, until he either wins by getting an amount between $20 and $21, or he loses by going over $21 or by buying all items and being less than $20. First, Mikel buys six bottles of shampoo.
Write a compound inequality
Answer: $20 <= X < = $21
Step-by-step explanation:
According to the question, you are told that he loses by going over $21 or by buying all items and being less than $20.
That means the total amount of the items bought must be equal to 20 dollars or 21 dollars or be within the two amount of money.
If Mikel buys six bottles of shampoo, let x represent the total amount for the six bottles of shampoo. Then, the compound inequalities for this expression will be x less than or equal to 21 dollars and x greater than or equal to 20 dollars. That is,
$20 <= X < = $21
PLEASE HELP. FIRST CORRECT ANSWER WILL GET BRANLIEST. IF YOU ANSWER WITHIN A FEW MINUTES AFTER ASKED, WILL GIVE 10 THANKS
Answer:
[tex]x=19[/tex]
Step-by-step explanation:
First, note that Angle X and angle Y are angles formed when two parallel lines are being cut by a transversal. This makes Angle X and Y consecutive interior angles. Consecutive interior angles are supplementary.
Therefore:
[tex](3x-5)+(90+2x)=180[/tex]
[tex]5x-5=90[/tex]
[tex]5x=95[/tex]
[tex]x=19[/tex]
In a class of 80 students, every student had to study mathematics or biology or both mathematics and biology ,If 65 students studied mathematics and 62.5% of teh class studies biology ,how many students studied both subjects
Answer:
80 x 62.5% is 50.
Step-by-step explanation:
The perimeter of the rectangle below is 94 units. Find the value of x.
Answer:
The value of x = 9 units
Step-by-step explanation:
The complete question is attached to this solution.
The perimeter of a rectangle is given as
P = 2 (L + B)
L = Length of the rectangle = 3x - 1
B = Breadth of the rectangle = 2x + 3
P = Perimeter of the rectangle = 94 units
94 = 2 [(3x - 1) + (2x + 3)]
3x - 1 + 2x + 3 = (94/2) = 47
5x + 2 = 47
5x = 47 - 2 = 45
5x = 45
x = (45/5) = 9 units
Hope this Helps!!!
Which formula can be used to describe the sequence? –81, 108, –144, 192, ...
Answer:
a(n) = -81(-4/3)^(n - 1)
Step-by-step explanation:
The first term is -81. From -81 we obtain the next term, 108, by multiplying -81 by -4/3. Note how (-4/3)(108) = -144 as anticipated.
Thus, the common ratio is -4/3.
The explicit function for this geometric series is
a(n) = -81(-4/3)^(n - 1)
Answer:
C
Step-by-step explanation:
A spinner has 3 options and a bag
has 4 numbered marbles. You spin
the spinner once and randomly
pull i marble. What is the PROB-
ABILITY of spinning the letter 'C'
or pulling an odd number?
Answer:
1/6
Step-by-step explanation:
Spinner = 1 out of 3
Marbles = 2 out of 4
1/3x2/4=2/12=1/6
Hi I really need help on this problem. Thank you!
Answer:
9
Step-by-step explanation:
because the angle is 45 deg, it is 1/8 of the full circle
the arc it intercepts will also be 1/8 the circumference of the full circle
72*1/8=9
You buy boxes of strawberries at the market. Each box cost $6. Write an equation for the number of dollars, d, you spend on b boxes. Yesterday, you purchased 2 boxes. Today you purchase 5 boxes. Place points on the graph to show your purchases yesterday and today.
Answer:
Heyyyy... Your ans!
Plz follow. Me..
Step-by-step explanation:
Answer:
Your answer is d=6b
Step-by-step explanation:
In circle C, what is mArc F H?
Answer:f
Step-by-step explanation:
Answer: 31 degrees
Step-by-step explanation:
For her birthday, Monica can invite 6 of her 15 student friends to join her at a theme park. If she chooses to invite friends at random, what is the probability that friends Tessa, Guido, Brendan, Faith, Charlotte and Rhianna are chosen? 1 out of 3,603,600 10 out of 27,358 1 out of 5,005 1 out of 720
Answer:
(C)1 out of 5,005
Step-by-step explanation:
There are a total of 15 student friends.
Monica wants to invite 6 of her friends.
The number of ways this can be done is:
[tex]^{15}C_6=\dfrac{15!}{(15-6)!6!} \\=\dfrac{15!}{9!6!}\\\\=5005[/tex]
Therefore, the probability that friends Tessa, Guido, Brendan, Faith, Charlotte and Rhianna are chosen
[tex]=\dfrac{1}{5005}[/tex]
3. Order the following numbers on a number line (least to greatest).
A.1.8, 1.35, 2.5, V5
B.1.35,75, 1.8, 2.5
C.1.35, 1.8, V5, 2.5
D.1.35, 1.8, 2:5, V5
square root of 5 equals 2.236068. So,, Choice C is the correct option witht he numbers from least to greatest. Hope this helps.
How can you tell the difference between systems with no solution and infinite solutions?
Answer:
The given system of equations has "No solution” means that the constants are the numbers without variables. If the coefficients are the equal on both sides then their constants will not equal,they did not satisfy the given equations and therefore it said to have no solution
The given system of equations has "infinitely many solutions" if the given linear system of equations has both the equations represents to the same line.
Step-by-step explanation:
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.
pls i need help 15 points!!!!! The treehouse will be 8 feet off the ground. Peter will hang a rope, with knots tied for footholds. Each knot uses an additional 2 inches of rope. Write an expression for the length of the rope needed if Peter ties n knots and wants the rope to touch the ground. How many inches of rope are needed if there are 8 knots? Explain.
Answer:
Step-by-step explanation:
First, we can figure out how many additional inches of rope are needed. If there are 8 knots, 16 additional inches will be needed. Peter would need 9 feet 4 inches of rope, or 112 inches.
The formula for finding the length of the rope needed would be 8+2n.
Hope this helps!
Answer:
112 inches
Step-by-step explanation:
Each knot needs 2 inches of rope
There are 2 knots
2*8 = 16 inches
He wants 8 ft from the ground, but he wants it in inches
8 ft* 12 inches per foot = 96 inches for the rope
96+ 16 =112 inches of rope
if 2x+1/4 = 12/20 what is the value of x
Answer:
7/40 or 0.175
Step-by-step explanation:
simplify to get 2x+1/4=3/5
subtract 1/4 from both sides to get 2x=7/20
divide by 2 to get 7/40
this answer i decimal form is 0.175
Answer:
x = 7/40
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x + 1 /4 = 3 /5
Step 2: Subtract 1/4 from both sides.
2x + 1 /4 − 1 /4 = 3 /5 − 1 /4
2x = 7 /20
Step 3: Divide both sides by 2.
2x /2 = 7 /20 /2
x = 7 /40
Answer:
x = 7 /40
Hope this helps!!
Mr. Weaver invested part of his $6000 inheritance in an account that earns 4%
simple interest and the other part in an account that earns 7% simple interest.
How much did he invest in each account if the two accounts earned $360 after
the first year?
Answer:
Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of the inheritance = $ 6,000
Interest rate of the first part = 4% simple
Interest rate of the second part = 7% simple
Interest of the accounts after the first year = $ 360
2. How much did he invest in each account?
For answering the question, we will use the following equation:
x = Amount invested in the first account
6,000 - x = Amount invested in the second account
0.04x + 0.07 * (6,000 - x) = 360
0.04x + 420 - 0.07x = 360
-0.03x = 360 - 420 (Subtracting 420 at both sides)
-0.03x = -60
x = -60/-0.03
x = 2,000 ⇒ 6,000 - x = 4,000
Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.
Two ants, Andy and Ashley, went to visit their friend. Andy crawled the whole way, but Ashley spent half of the way riding on a caterpillar, which was two times slower than crawling. Ashley spent the second half of the journey riding on a grasshopper, which was 5 times faster than crawling. Which ant got to their friend's house first, if they left at the same time?
Answer:
Andy
Step-by-step explanation:
Let's say that x is Andy's speed, and d is the distance he traveled.
The time it takes Andy to reach his friend is d/x.
The time it takes Ashley to travel the first half is (d/2)/(x/2) = d/x.
The time it takes Ashley to travel the second half is (d/2)/(5x) = d/(10x).
The total time is d/x + d/(10x) = 1.1 d/x.
It takes Ashley 1.1 times longer to reach the friend. Andy gets there first.
simplify
15x-3/ 5x² - 11x +2 + x-5/2x² - 11x +5
Answer:
The answer is [tex]-\frac{31x^2}{10}[/tex]- 6x+7
Hope this helps!
Lewis needed to find the difference in lengths between the hypotenuse and the longest leg of this triangle. His work is shown below.
What errors did Lewis make? Check all that apply.
He simplified incorrectly. It should be 20 instead of 200.
He found the difference between the hypotenuse and the short leg instead of the long leg.
He evaluated incorrectly. It should be .
He evaluated incorrectly. It should be .
He should not have taken the square root of each side to get rid of the exponent.
*see the attachment below showing Lewis' work
Answer:
*He simplified √400 incorrectly. It should be 20 instead of 200.
*He found the difference between the hypotenuse and the short leg instead of the long leg
Step-by-step explanation:
=>Going through the work of Lewis, you'd observe that in the 5th line where Lewis was supposed to simplify √400, he made a mistake by writing 200 instead of 20. The square root of 400 is 20 not 200.
=>Also, the length of the longest leg of the right angled triangle that Lewis is supposed to subtract from the length of the hypothenuse is 16 NOT 12.
The difference between the length of the hypothenuse and the length of the longest Leg = 20 - 16 = 4
Answer: A & B homies...
person up top is correct also...
Step-by-step explanation: on edg 2020
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF).
When graphed, the function gives a line with a slope of 1.55. See the figure below.
If the monthly cost for 15 HCF is $47.84, what is the monthly cost for 9 HCF?
Answer:
The monthly cost for 9 HCF is $38.54
Step-by-step explanation:
The graph is missing; however, the question can still be solved
Given
Slope = 1.55
When monthly cost = $47.84, Amount of water = 15 HCF
Required
Determine the monthly cost for 9 HCF
From the question, we understand that it is a linear function;
Linear functions are of the form
[tex]y = mx + b[/tex]
Where y is the function of x and m is the slope
In this case; the function is the monthly water bill
and x is the amount of water
Solving for b
When monthly cost = $47.84, Amount of water = 15 HCF
The function is as follows;
[tex]47.84 = 1.55 * 15 + b[/tex]
[tex]47.84 = 23.25 + b[/tex]
Subtract 23.25 from both sides
[tex]47.84 - 23.25= 23.25 - 23.25 + b[/tex]
[tex]24.59 = b[/tex]
[tex]b = 24.59[/tex]
Solving for the monthly cost for 9 HCF
Here, we have that
[tex]x = Amount\ of\ water = 9[/tex]
[tex]m = Slope = 1.55[/tex]
[tex]b = 24.59[/tex]
Substitute these values in the linear function; [tex]y = mx + b[/tex]
[tex]y = 1.55 * 9 + 24.59[/tex]
[tex]y = 13.95 + 24.59[/tex]
[tex]y = 38.54[/tex]
Hence, the monthly cost for 9 HCF is $38.54
Find an equation of the line: through the points (4,2) and (3,1). PLEASAE HELP I ONLY HAVE 20 MINS LEFT
Answer:
y=x+-2
Step-by-step explanation:
Slope intercept form is y=mx+b
I plugged in the slope for m and y-intercept for b
sorry i did this real fast because it sounded urgent :)
3/7 of the people who live in the apartment building are men. 5/8 of the remaining people are women. The rest are children. a total of 275 men and women live in the building. How man people live in the apartment building altogether?
Answer:
Step-by-step explanation:
people in building ---- x
children --- y
men + women + children = x
(3/7)x + (5/8)(4/7)x + y = x
3x/7 + 5x/14 + y = x
times 14
6x + 5x + 14y = 14x
14y = 3x
y + 220 =x
sub into the other one
14y = 3(y+220)
11y = 660
y = 60
then 14(60) = 3x ---> x = 280
So we have 280 people in the building.
check: 3/7 of 280 are men = 120
leaving 160 women and children
5/8 of these ot 100 are women
so we have 120 men, 100 women and 60 children!
A function g(x) has x-intercepts at (StartFraction 1 Over 2 EndFraction, 0) and (6, 0). Which could be g(x)? g(x) = 2(x + 1)(x + 6) g(x) = (x – 6)(2x – 1) g(x) = 2(x – 2)(x – 6) g(x) = (x + 6)(x + 2)
Answer:
[tex]g(x) = (x-6)(2x-1)[/tex]
Step-by-step explanation:
[tex]g(x)[/tex] intercepts the x-axis at these 2 points:
[tex](6,0) ;(1/2,0)[/tex]
⇒ 6 and 1/2 are roots ie; if you insert [tex]x=6[/tex] or [tex]x=1/2[/tex] into the equation of g(x) you will obtain a 0.
[tex]g(6) = g(1/2) = 0[/tex]
now in order for 0 to appear we should have [tex]x-6[/tex]
now in order for 0 to appear we should have [tex]x-1/2[/tex]
but [tex]x-1/2[/tex] doesn't appear in any of these, but its multiple of 2 is there:
[tex]2(x-1/2) = 2x-1[/tex]
Therefore the function;
[tex]g(x) = (x-6)(2x-1)[/tex]
Answer:
b
Step-by-step explanation:
a. Find the measure of angle A. b. Find the measure of angle CBD. c. Find the measure of AD. d. Find the measure of BC. e. Find the measure of CD. f. Find the measure of BD. Round all answers to two decimal places. please type/ explain work !
Answer:
a. m<A = 35°
b. m<CBD = 61°
c. m AD is sin55 = AD/40 AD = 32.77
d. m BC is sin 29 = 22.94/BC BC = 47.32
e. m CD is tan 29 = 22.94/CD CD = 41.38
f. m BD is cos 55 = BD/40 BD = 22.94
Step-by-step explanation:
The solution is,
a. m<A = 35°
b. m<CBD = 61°
c. m AD is sin55 = AD/40 AD = 32.77
d. m BC is sin 29 = 22.94/BC BC = 47.32
e. m CD is tan 29 = 22.94/CD CD = 41.38
f. m BD is cos 55 = BD/40 BD = 22.94
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given figure, we get,
a) ∠D = 90
i.e. ∠A= 90 - 55 = 35
b) similarly,
∠CBD = 90-29
=61
c) m AD is sin55 = AD/40
i.e. AD = 32.77
d) m BC is sin 29 = 22.94/BC
i.e. BC = 47.32
e) m CD is tan 29 = 22.94/CD
i.e. CD = 41.38
f) m BD is cos 55 = BD/40
i.e. BD = 22.94
To learn more on angle click:
brainly.com/question/28451077
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how do you solve this question?
Answer:
[tex]\large \boxed{\sf \ \ \ 2x-ln(1-x) \ \ \ }[/tex]
Step-by-step explanation:
Hello,
for any real x different from 1
[tex]\dfrac{3-2x}{1-x}=\dfrac{2-2x+1}{1-x}\\\\=\dfrac{2(1-x)+1}{1-x}\\\\=2\dfrac{1-x}{1-x}+\dfrac{1}{1-x}\\\\=2+\dfrac{1}{1-x}[/tex]
if f(x)=2x
f'(x)=2
if g(x)=-ln(1-x)
[tex]g'(x)=\dfrac{-1*-1}{1-x}=\dfrac{1}{1-x}[/tex]
So antiderivative of
[tex]\dfrac{3-2x}{1-x}=2+\dfrac{1}{1-x}[/tex]
Is
2x-ln(1-x)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
What is the length of the transverse axis of the conic section shown below?
(y+2)^2/25 - (x-3)^2/4=1
Answer:
Length of transverse axis = 2 b = 10
Length of conjugate axis = 2 a = 4
Step-by-step explanation:
Explanation:-
Given Hyperbola
[tex]\frac{(y+2)^{2} }{25} -\frac{(x-3)^{2} }{4} =1[/tex]
Standard form of Hyperbola
[tex]\frac{(y-(K))^{2} }{b^{2} } -\frac{(x-h)^{2} }{a^{2} } =1[/tex]
Center (h , k ) = (3 , -2 ) , a = 2 and b = 5
Length of transverse axis = 2 b = 2(5) = 10
Length of conjugate axis = 2 a = 2 (2) = 4
use the rules of exponents to evaluate or simplify. wright without negative exponents. 5 • 7^0 = ___ ^a0
Answer:
5 x 7^0 = 35
or
5 x 7 = 35
Step-by-step explanation:
Plz mark brainliest