Answer:
(c) 9 3/5
Step-by-step explanation:
This is a ratio question. We can work with the dimensions as fractions and solve through cross-multiplication.
Dimensions of the first painting:
8/20 in.
Possible dimensions of the second painting:
24/x in.
x/24 in.
There are two options, because the given 24 inches may be either a length or width of the painting.
Now, we can use cross-multiplication to try to find x in both scenarios.
Scenario #1
8/20=24/x
8x=480
x=60 in.
60 in. is not an answer. Let's try the other scenario.
Scenario #2
8/20=x/24
192=20x
9.6 in.=x
9.6 can also be written as 9 3/5, which is option C.
Hong buys candy that costs $5 per pound. He will buy at least 7 lbs of candy. What are the possible amounts he will spend on candy? Use c for the amount (in dollars) Hong will spend on candy. Write your answer as an inequality solved for c.
Step-by-step explanation:
if he buys 7 pounds, it will cost 7×5 = $35
he might buy more than that (and it will then also cost more than that) , but not less than that.
so,
c >= $35
What point is the intersection of the graphs of the lines 2x - y = 3 and x+y = 3?
Answer: (2, 1)
======================================================
Explanation:
Let's add the equations straight down
The x terms add up to 2x+x = 3xThe y terms add to -y+y = 0y = 0, so the y terms go awayThe right hand sides add to 3+3 = 6After those three things happen, we're left with 3x = 6 which solves to x = 2 after dividing both sides by 3.
Now let's use this x value to find y
2x-y = 3
2(2)-y = 3
4-y = 3
-y = 3-4
-y = -1
y = 1
Or we could use the other equation
x+y = 3
2+y = 3
y = 3-2
y = 1
which gets us there in fewer steps.
So that's how we get to the final answer of (x,y) = (2,1)
The graph is shown below.
Solve the following inequality algebraically:
-2 < x/3 +1 <5
Answer:−9<x<12
Step-by-step explanation:
−2< x 3 +1<5
−2< 1 3 x+1<5(Simplify all parts of the inequality)
−2+−1< 1 3 x+1+−1<5+−1(Add -1 to all parts)
−3< 1 3 x<4
−3/( 1/ 3) <(1/3x)/1/3 < (4)/1/3 (Divide all parts by \,{1}/{3}\,)
−9<x<12
Find the slope of the line that contains (-1, 9) and (9, 9).
Step-by-step explanation:
using the slope formula, we can see that the slope is 0
A triangle has sides measuring 6, 8, and 10 cm. Using a dilation factor of 0.75, what would the measurements of a second triangle be?
Answer:
The Measurement of the second triangle would be 4.5, 6, 7.5. and the dilation type is reduction.
Step-by-step explanation: The sizes you have will be multiplied by the dilation factor 0.75.
6*0.75=4.5, 8*0.75=6, 10*0.75=7.5.
Have a good day.
The dilated form of the sides of the triangle is 4.5,6, and 7.5.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased. The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that a triangle has sides measuring 6, 8, and 10 cm. Using a dilation factor of 0.75.
The measurement of the second triangle would be 4.5, 6, and 7.5. and the dilation type is reduction.
The sizes you have will be multiplied by the dilation factor of 0.75.
6 x 0.75=4.5,
8 x 0.75=6,
10 x 0.75=7.5.
Therefore, the dilated form of the sides of the triangle is 4.5,6, and 7.5.
To know more about dilation follow
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
help me pleaseeeeee!!!!!!
Step-by-step explanation:
AC = 20
AB = 18
BC² = 20²+ 18² -2•20•18•cos(52°)
BC² = 280.72
BC = √280.72
BC ≈ 16.75
Angle C:
18² = 20² + 16.75² -2•20•16.75•cos(C)
324 = 400 + 280.72 -670•cos(C)
cos(C) = -356.72/-670
cos(C) ≈ 0.53
acos(0.53) = C
C = 57.8°
Angle B:
180-52-57.8 = 70.2°
Find x (Round to the nearest tenth). PLS HURRY
Answer:
x = 28.4°
Step-by-step explanation:
The cos(x) = 15/17 ≈ 0.88
The acos(0.88) = 28.4°
Suppose a function f has an inverse. If f(2)=6 and f(3)=7, find: f^-1 (f(3))
9514 1404 393
Answer:
3
Step-by-step explanation:
The definition of an inverse function is ...
f^-1(f(x)) = x
Then ...
f^-1(f(3)) = 3
you need to fence off two rectangular lots. the larger of two lots is 45 feet long and 22 feet wide, while the smaller lot is 24 feet long and 16 feet wide. How much fencing in feet will you need to fully enclose both lots?
==============================================================
Explanation:
I'll assume that both lots are not adjacent. So we have two separate rectangles that aren't touching.
We use the rectangle perimeter formula
P = 2(L+W)
where L is the length and W is the width. For the first rectangle, we have L = 45 and W = 22, so
P = 2(L+W)
P = 2(45+22)
P = 2(67)
P = 134
You need 134 feet of fencing for the 45 ft by 22 ft rectangle.
Repeat for the other rectangle
P = 2(L+W)
P = 2(24+16)
P = 2(40)
P = 80
You need 80 feet of fencing for the 24 ft by 16 ft rectangular lot.
Overall, you need 134+80 = 214 feet of fencing
------------------------
Extra info (optional section):
Now if the two lots are touching in some way, then you won't need as much fencing. This is because the two lots will share the bit of fencing between them. This might apply to a portion of one side, or the entire side, of either rectangle. It depends how the lots are laid out.
The assumption that the lots aren't adjacent considers the worst case scenario, aka the situation where you'll need the most fencing (hence the largest cost). This will allow you to prepare for the worst and not be caught off guard. All of this assumes there is no waste, and that there are no gaps or overlaps. If there is expected to be some inefficiency of waste (which is fairly realistic in my opinion) then it's probably a good idea to slightly overshoot this target.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 7
Brainliest, please!
Step-by-step explanation:
90 + 33 + (6x + 15) = 180
6x + 138 = 180
6x = 42
x = 7
Suppose that F(x) = x^3 and G(X) = -3x^3. Which 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) flipped over the y-axis and
compressed vertically.
B. The graph of G(x) is the graph of F(x) flipped over the x-axis and
compressed vertically.
C. The graph of G(X) is the graph of F(x) flipped over the x-axis and
stretched vertically.
D. The graph of G(x) is the graph of F(x) flipped over the yaxis and
stretched vertically.
Answer:
D. The graph of G(x) is the graph of F(x) flipped over the y-axis and
stretched vertically.
Step-by-step explanation:
since there is a negative, there must be a reflection. the reflection is over the y-axis because it is outside the x-value (-F(x) not F(-x))
the same goes for the vertical stretch. we know it is a vertical stretch because the 3 is outside the x-value (3F(x) not F(3x))
James defines an angle as "a figure consisting of two rays." His statement is not precise enough because he should specify that
the rays must be collinear
the rays must form a right angle
the rays must have a common endpoint
the rays must continue in one direction forever
Statement: If two noncollinear rays join at a common endpoint, then an angle is created. Which geometry term does the statement represent?
Defined term
Postulate
Theorem
Undefined term
James should define that the rays must be collinear. the two rays coming from the same point will form collinear rays which will form an angle at end point.
The statement of james should be precise in order to clearly explain the angle formation.
The two non collinear rays will form an angle at end point where they meet with each other.
The defined vertex will form the appropriate angle. there should be defined term for the non collinear rays.
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1: The rays must have a common endpoint
2: Defined term
I took the test and got both right :))
Solve for x.
x = [?]
5x – 16
X + 10
Answer:
If it is expression than answer 6x-6
If it is an equation 5x-16=x+10 than answer is 13/2
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
[tex]\\ \sf \longmapsto 5x-16=x+10[/tex]
[tex]\\ \sf \longmapsto 5x-x=10+16[/tex]
[tex]\\ \sf \longmapsto 4x=26[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{26}{4}[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{13}{2}[/tex]
Do radical expressions with the same degree and the _____ are called like terms.
Answer:
The answer is A - Radicand.
Hope that helps!
I need help with this ASAP!
Find the area of the sector.
Answer:
B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{255}{360}[/tex]
= π × 4² × [tex]\frac{17}{24}[/tex]
= 16π × [tex]\frac{17}{24}[/tex]
= [tex]\frac{16\pi (17)}{24}[/tex]
= [tex]\frac{272\pi }{24}[/tex]
= [tex]\frac{34\pi }{3}[/tex] mi² → C
What is the GCF of 12a^4b^2 - 3a^2b^5 ??
hope it helps~
Does the point (2, 6) lie on the circle shown? Explain.
O Yes, the distance from (3, 0) to (0, ) is 3 units.
O Yes, the distance from (0, 0) to (2, V6) is 3 units.
O No, the distance from (3, 0) to (2, 6) is not 3 units.
O No, the distance from (0, 0) to (2, 6) is not 3 units.
Answer:
A.
Step-by-step explanation:
the square root of 6 is roughly 1.57
so that means the ordered pair would read (2,1.57).
if you were to plot that point it would be on the circle.
Also the distance from the origin (0,0) to (3,0) is 3 units
We will see that the correct option is:
"No, the distance from (0, 0) to (2, 6) is not 3 units."
Does (2, 6) lie on the circle shown?
We know that the circle has a radius of 3 units, then we need to see if the distance between (0, 0) and (2, 6) is 3 units.
Here we have:
[tex]D = \sqrt{(6 - 0)^2 + (2 - 0)^2} = \sqrt{36 + 4} = \sqrt{40} \neq 3[/tex]
So the distance between (0, 0) and (2, 6) is different than 3 units, meaning that the point is not in the circle.
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Don’t know. Someone help a person!Ty
Answer:
3rd option
Step-by-step explanation:
8x³ - 27y³ ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²)
8x³ - 27y³
= (2x)³ - (3y)³
= (2x - 3y)((2x)² + 2x(3y) + (3y)²) , that is
= (2x - 3y)(4x² + 6xy + 9y²)
Which expression is equivalent to 8f+5f?
The answer is
8f+5f
=13f
Chase plans to repaint some classroom bookcases. He has 1 4/7 gallons of paint. All of the bookcases are the same size and each requires 1/3 gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?
f) 60 students in a hostel have food enough for 30 days. If 20 more students join the hostel after 10 days, how long will the remaining food last?
Answer:
Hello,
10 days
Step-by-step explanation:
60 étudiants dans un foyer ont assez de nourriture pour 30 jours. Si 20 étudiants supplémentaires rejoignent l'auberge après 10 jours, combien de temps durera la nourriture restante ?
Let say A the quantity of food
60 students in a hostel have food enough for 30 days ==> A=k*60*30
==> k=A/1800
Let say x the duration of the food.
60 students for x days + 20 students for (x-10) days =A
[tex]k*60*x+k*20*(x-10)=A\\[/tex]
[tex]\dfrac{A*60*x}{1800} +\dfrac{A*20*(x-10)}{1800} =A\\\\60x+20x-200=1800\\\\80x=1600\\\\x=20\\[/tex]
Duration for the 80 students: 20-10=10days
5x + 4x2 - 9x + 8x2
Answer:
12x^2-4x
Step-by-step explanation:
5x + 4x^2 - 9x + 8x^2
Combine like terms
4x^2+8x^2+5x-9x
12x^2-4x
[tex]\begin{cases}\bf \large{\purple{ \implies}} \tt \: 5x \: + \: 4 {x}^{2} \: - \: 9x \: + \: 8 {x}^{2} \\ \\ \bf \large{\purple{ \implies}} \tt \: 4 {x}^{2} \: + \: 8 {x}^{2} \: + \: 5x \: - 9x \\ \\ \bf \large{\purple{ \implies}} \tt \: 12 {x}^{2} \: - \: 4x \end{cases}[/tex]
can someone plz make a histogram for the numbers 60,60,65,71,72,75,80,88,92,95,100,152
Answer:
lol sorry i don't know. but i would try my best to find your answer
The three seventh grade classes at Sunview Middle School collected the most boxtops for a school funderaiser, and so they won a $600 prize to share among them. Mr. Aceves' class collected 3.750 box tops, Mrs Baca's class collected 2,301, and Mr. Canyon's class collected 1,855. A. What fraction of total box tops did each class collect? B. How much money should each class receive to reflect their fraction of the total?
Answers and step-by-step explanation:
First, we add up all the totals for the box tops. This would be 3,750+2,301+1855 which totals to 7,906. Then, we take each individual box top value and divide it by 7,906 to get the fractions. For Mr. Aceves' class, the percentage is 47%, for Mrs. Baca's class, the percentage is 29% and finally for Mr. Canyon's class, the percentage is roughly 24%. This would mean that Mr. Aceves' class should get $282, Mrs. Baca's class should get roughly $174, and Mr. Canyon's class should receive $144.
Hope this helped!!
How would you write 845 as a multiplication expressions
A.
8x5
B.
8x8x8x8x8
O c. 5x5x5x5x5x5x5x5
Answer:
13x13x5
Step-by-step explanation:
We can write 845 as
845 = 13 x 13 x 5
because
845 = (13x13) x5 = 169 x5 = 845
so the expression is
13 x 13 x 5
arshad's father bought x sweets .(x-4)were eaten by children and 20 were left.how many sweets did his father bring
Answer:
24
Step-by-step explanation:
20+4
simple
x-4=20
x=20+4
x=24
mark me as brainliest
Answer:
24 sweets
Step-by-step explanation:
Remaining sweets = 20
x - 4 = 20
Add 4 to both sides.
x = 20 +4
x = 24
Solve for X. Geometry
Answer:
11
Step-by-step explanation:
6+(2x+28)=x+23=-11 -> Answer can't be negative -> 11
c. The sum of two number is 59. If the Smaller number is less than the bigger one by 7,find the number.
Step-by-step explanation:
Hi there!
According to the question;
The sum of two number is 59. And the Smaller number is less than the bigger one by 7,
Let the bigger number be "X" then smaller number will be x-7.
Then;
x + (x-7) = 59
2x = 59+7
X = 66/2
Therefore, the bigger number (X) is 33 and smaller number (x-7) is 26.
Hope it helps!
A pendulum's height is modeled by the function h(t) = 4 cos(pi/4*t) + 8 where h is the
measure of the pendulum's height in feet and t is the number of seconds since the
maximum height. How many seconds does it take the pendulum to complete one
full swing?
===========================================================
Explanation:
The general cosine template is
y = A*cos(B(t - C)) + D
where in this case
A = 4B = pi/4C = 0D = 8We only really need to worry about the B value. To get the period T, we do the following
T = 2pi/B
T = (2pi)/(pi/4)
T = 2pi * (4/pi)
T = 8
Note how the pi terms canceled. The period is 8 seconds, which is the length of one full cycle. This is the time it takes for the pendulum to do one full swing (eg: start at the right, swing to the left all the way, then swing back to the right again).
The result of 8 we got has nothing to do with the D = 8 value (this D value could be any other number and T = 8 would still be the case as long as B doesn't change of course).
