Answer:
x = 7.5
Step-by-step explanation:
5/6 = 10/2x-3
Solve using cross products
5 ( 2x-3) = 6*10
Divide each side by 5
2x-3 = 6*10/5
2x-3 =12
Add 3 to each side
2x-3+3 = 12+3
2x =15
Divide each side by 2
2x/2 = 15/2
x = 7.5
How do I solve the problem by isolating x
Answer:
see below
Step-by-step explanation:
10x +8 = 3(x-2)
Distribute
10x +8 = 3x-6
Subtract 3x from each side
10x+8-3x = 3x-6-3x
7x +8 = -6
Subtract 8 from each side
7x+8-8 = -6-8
7x = -14
Divide each side by 7
7x/7 = -14/7
x = -2
Answer:
10x + 8 = 3x - 6, 7x = -14
Step-by-step explanation:
10x + 8 = 3 ( x - 2 ) = 10x + 8 = 3x - 6
subtract 8 from both sides of the equation: 10x + 8 = 3x - 6
10x + 8 - 8 = 3x - 6 - 8
simplify
10x = 3x - 14
subtract 3x from both sides
10x - 3x = 3x - 14 - 3x
simplify
7x = -14
divide both sides by 2
7x / 2 = -14 / 2
simplify
x = -2
Find the slope of the line
Answer:
2
Step-by-step explanation:
Line is passing through the points (2,0) & (0, - 4)
[tex]Slope \: of \: line \\ = \frac{0 - ( - 4)}{2 - 0} \\ = \frac{0 + 4}{2} \\ = \frac{4}{2} = 2 \\ [/tex]
Check all of the points that are solutions to the system of inequalities.
y> 4x + 2
y< 4x + 5
A. (5, 26)
B. (-4, 20)
C. (4,21)
D. (5,24)
Answer:
A. = False
B. = False
C. = True
D. = True
Hope this helps
Which is not equivalent to this expression? 4(3x2+6x)
Answer:
6x (2x^2 + 4x), for it's not equal to 12x^2+24x.
Step-by-step explanation:
Answer:
6x (2x^2 + 4x), for it's not equal to 12x^2+24x.
Step-by-step explanation:
Draw the image of △ABC under a dilation whose center is P and scale factor is 1/2
Answer:
Step-by-step explanation:
Let the point P is at the origin (0, 0).
Then the coordinates of A, B and C will be (8, 4), (-2, 2) and (4, -4) respectively.
Rule for the dilation of a point by a scale factor = k
(x, y) → (kx, ky)
If k = [tex]\frac{1}{2}[/tex]
Then, A(8, 4) → A'(4, 2)
B(-2, 2) → B'(-1, 1)
C(4, -4) → C'(2, -2)
Now we can plot the new image with points A', B' and C'
Following are calculation to the given points:
Given:
[tex]\Delta ABC[/tex] under a dilation whose center is P
scale factor [tex]= \frac{1}{2}[/tex]
To find:
points=?
Solution:
In the given question we assume that the origin at the point [tex]P(0, 0)[/tex].
therefore the coordinates of [tex]A, B, \ and \ C[/tex] would then be [tex](8, 4), (-2, 2), \ and\ (4, -4)[/tex] respectively.
Scale factor dilatation rule[tex]= k[/tex]
[tex](x, y) \to (kx, ky)[/tex]
If [tex]k = \frac{1}{2}[/tex]
Then,
[tex]A(8, 4) \to A'(4, 2)\\\\B(-2, 2) \to B'(-1, 1)\\\\C(4, -4) \to C'(2, -2)\\\\[/tex]
We can now draw a new picture with the points [tex]A', B', \ and\ C'[/tex], please find the attached file.
Learn more:
brainly.com/question/16967942
F(9) if f(x) = x - 8
Answer:
f(9)=1
Step-by-step explanation:
This questions asks us to find f(9).
It is asking us to find what f(x), or y is, when x is equal to 9.
f(x)=x-8
Therefore, we can substitute 9 in for every x.
f(9)=9-8
Subtract 8 from 9
f(9)=1
If f(x)=x-8, then f(9)=1
Answer:
f(9)=1
Step-by-step explanation:
f(x)=x-8
plug in 9for x
f(9)=9-8
9-8 =1
segment AB is dilated from the origin to create segment A prime B prime at A' (0, 8) and B' (8, 12). What scale factor was segment AB dilated by?
The scale factor which segment AB was dilated by is 4
How to determine the scale factor of dilation?The graph that completes the question is added as an attachment
From the attached graph, we have the following coordinates
A = (0, 2)
B = (2, 3)
The coordinates of the image of dilation are given as:
A' = (0, 8)
B' = (8, 12)
Divide the coordinates of A' by A
So, we have:
Scale factor = A'/A
This gives
Scale factor = (0, 8)/(0, 2)
Evaluate the quotient
Scale factor = 4
Hence, the scale factor which segment AB was dilated by is 4
Read more about dilation at:
https://brainly.com/question/3457976
#SPJ1
A train goes at a constant speed. If it covers 150 miles in 2 1 2 hours,
d
How long would it take for that train to cover 100 miles?
Answer:
x = 1 2/3 hours
Step-by-step explanation:
We can use ratios to solve
150 miles 100 miles
---------------- = ---------------
2.5 hours x hours
Using cross products
150x = 2.5*100
divide each side by 150
150x/150 = 250/150
x = 1 2/3 hours
The total amount of water a tank can hold is 14 1/2 gallons. Raul wants to find out how many 1 1/4 gallon buckets of water can be
used to fill the tank. Which expressions could be used to represent this scenario? Select two options..
100 POINTS
Answer: [tex]\frac{29}{2}[/tex]÷[tex]\frac{5}{4}[/tex], [tex]\frac{29}{2}[/tex]×[tex]\frac{4}{5}[/tex]
Step-by-step explanation: Let me know if you need an explanation.
Answer:
its a and e two options it said
Step-by-step explanation:
What is the constant in the expression 9x3 + 3x2 + 4 + 5x?
Answer:
4
Step-by-step explanation:
The constant is the lone number, in this case it is 4.
Hope this helps.
22. The perimeter of a rectangle is 84 inches and the width is 7 inches.
What is the length of the rectangle?
A.70 inches
B.35 inches
C.77 inches
D.This information cannot be determined.
Answer:
35 inches
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w)
We know the perimeter and the length
84= 2 ( l+7)
Divide each side by 2
84/2 = 2/2 (l+7)
42 = (l+7)
Subtract 7 from each side
42-7 = l+7-7
35 = l
The length is 35 inches
Answer:
[tex]l = 35 \: \: inches[/tex]
Step-by-step explanation:
[tex]perimeter \\84 = w + w + l + l \\ 84 = 7 + 7 + 2l \\ 84 = 14 + 2l \\ 84 - 14 = 2l \\ 70 = 2l \\ \frac{70}{2} = \frac{2l}{2} \\ l = 35 \: \: inches[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Whats the area of each figure ?
Answer:
A:870 B:438.82
Step-by-step explanation:
L x W x H
have a nice day :-)
1,4,13____,121
5,12,33__
whats the pattern rule
Answer:
Step-by-step explanation:
1,4 ,13 , __________, 121
First term = 1
Second term = 1 + 3 = 4
Third term = 4 + 3*3 = 4 + 9 = 13
Fourth term = 13 + 3*3*3 = 13 + 27 = 40
2) 5, 12 , 33 ,_____
First term = 5
Second term = 5 + 7 = 12
Third term = 12 + 7*3 = 12 + 21 = 33
Fourth term = 33 + 7*3*3 = 33 + 63 = 99
How much would you pay for a boat that
costs $15,000 if you buy it on sale for
15% off (excluding tax)?
Answer:
$12,750
Step-by-step explanation:
15% of 15,000 is 2,250 and you find this by multiplying the discount and the total. Then you subtract the discount from the original price to know the discounted price.
15,000-2,250=12,750
So you'd pay $12,750 without taxes
Answer:
The cost of the boat after the sale would be 12,750. (excluding tax)
Step-by-step explanation:
George is given two circles, Circle O and circle X, as shown. If he wants to prove that the two circles are similar, what would be the correct second step in his proof? Given: The radius of circle O is r, and the radius of circle X is r'. Prove: Circle O is similar to circle X.
Answer:
answer is A - C = 2-pi-r/C = 2-pi-r and C/C = r/r by the division property of equality
Step-by-step explanation:
on A P E X
To prove that the two circles are similar, the answer which would be the correct second step in his proof is:
A - C = 2-pi-r/C = 2-pi-r and C/C = r/r by the division property of equalityWhat is a Circle?This refers to a round plane who has a centre as a fixed point that has equal distance from each other.
With this in mind, we can see that Circle O and Circle X are shown and they are said to be similar, hence, the second step to prove that they are similar is A - C = 2-pi-r/C = 2-pi-r and C/C = r/r by the division property of equality
Read more about circles here:
https://brainly.com/question/24375372
will give brainliest if answer correctly!!
Answer:
A
Step-by-step explanation:
Sorry for the late response but the previous 2 answers lacked an explanation.
The sample space of an experiment / trial is the range of all outcomes from that experiment / trial. In this case, the trial is spinning the spinner. You might think that the answer is D because those are all of the possible outcomes you might get when spinning the spinner, however, some of the outcomes are repeated. In a sample space, each element of the sample space set is different, therefore, the answer is {1, 2, 3, 4} which is A.
Find the distance of AD and round to the nearest tenth, if necessary. A (2,5) D (-5,12)
Answer:
d = 9.9
Step-by-step explanation:
Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
Simply plug in your numbers:
[tex]\sqrt{(-5-2)^2 + (12-5)^2}[/tex]= 7√2
7√2 ≈ 9.89949
A cone with a diameter of 17 feet has a volume of 190.07 cubic feet, find the height of the cone.
Answer:
Step-by-step explanation:
I don't say u have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
PLEASE HELP ME! WILL NAME BRAINLIEST
Find the equation of the line perpendicular to y = x -10 passing through point (10 , -5)
Answer:
y= -x+5
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Let's find the value of m first.
The product of the gradients of 2 perpendicular line is -1.
Given line: y= x -10
Gradient of given line= 1
m(1)= -1
m= -1
y= -x+c
To find c, substitute a coordinate.
when y= -5, x=10,
-5= -10 +c
c= 10-5 (+10 on both sides)
c=5 (simplify)
Thus, the equation is y= -x +5.
given that 7x+50=22 find x
The value of X is -4
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
x = - 4
Step-by-step explanation:
7x + 50 = 22
7x = 22 - 50
7x = - 28
x = - 28 : 7
x = - 4
NEED ANSWER FASSTTT
In a right triangle PQR , angle P is 40 degrees. If we decrease 10% of angle P, what will the percent change in angle R?
Answer:
here you go!
Step-by-step explanation:
The 30°-60°-90° refers to the angle measurements in degrees of this type of special right triangle. In this type of right triangle, the sides corresponding to the angles 30°-60°-90° follow a ratio of 1:√ 3:2.
In the diagram given below, lines I1 and l2 are parallel and t is a transversal. Find the value of x.
PLS HELP
----------------------------------------------------------
Hey!!!
Solution,
2x+10+X+5=180 ( sum of co-interior angles)
or, 2x+X+10+5=180
or,3x+15=180
or,3x=180-15
or,3x=165
or, X=165/3
X=55
So the value of X is 55.Hope it helps...
Good luck on your assignment
STAY SAFE......
--------------------------------------------------------
Answer:
Step-by-step explanation:
2x + 10 + x + 5 = 180 (Sum of co-interior angles}
Add the like terms
3x + 15 = 180 {Subtract 15 form both sides}
3x +15 - 15 = 180 - 15
3x = 165 {Divide both sides by 3}
3x/3 = 165/3
x = 55°
two congurent, isocoles triangles are joined as shown to form a parallelogram. the largest angle of the parallelogram is 116 degrees
write two equations
solve them to find the value of A and the value of B
Answer:
64°, 52°
Step-by-step explanation:
2a+b=180°a+b=116° ⇒ b=116°-a2a+116°-a=180° ⇒ a=180°-116°= 64°b=116°-64°= 52°Simon used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 time
Color of Marble Number of Times Rolled
Blue
15
Green
19
Yellow
16
Heads Tails
26 24
Using Simon's simulation, what is the probability of pulling a blue marble and the coin landing
39
50
Answer:
360/2500
Step-by-step explanation:
the blue marble is 15 times out of 50 = 15/50 reduces to 3/10
landing on tails is 24 out of 50 = 24/50 reduces to 12/25
to find the probability of both multiply together:
3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250
if you multiplied the numerator and denominator by 10 you get 360/2500.
the answer is 360/2500
Answer:
360/2500
Step-by-step explanation:
y=3x+17, 4x-3y=-26
Use substitution to solve the system
Answer:
x=-5, y=2
Step-by-step explanation:
[tex]y=3x+17\\\\4x-3y=-26[/tex]
With substitution, you can replace y in the second equation with 3x+17, since you know they are equal.
[tex]4x-3(3x+17)=-26 \\\\4x-9x-51=-26\\\\-5x=25\\\\x=-5\\\\y=3(-5)+17=-15+17=2[/tex]
Hope this helps!
A cylinder with a diameter of 8 centimeters and height of 18 centimeters. Recall the formula V = pi r squared h. 288 pi Centimeters cubed 1,152 pi Centimeters cubed 1,296 pi Centimeters cubed 2,592 pi Centimeters cubed
Answer:[tex]288\pi\ cm^3[/tex]
Step-by-step explanation:
Given
Diameter of cylinder is [tex]d=8\ cm[/tex]
So, radius [tex]r=\frac{d}{2}=4\ cm[/tex]
height of cylinder [tex]h=18\ cm[/tex]
Volume of cylinder is given by
[tex]V=\pi r^2h[/tex]
[tex]V=\pi (4)^2\times 18[/tex]
[tex]V=\pi 16\times 18[/tex]
[tex]V=288\pi\ cm^3[/tex]
So, volume of cylinder is [tex]288\pi\ cm^3[/tex]
Answer:
288π cm cubed
Step-by-step explanation:
Jeff said that his city got 11/3 inches of snow. Write this fraction as a mixed number
Answer: 11/3 as a mixed number is 3 2/3
Answer:
3 2/3 inches of snow
Step-by-step explanation:
Your denominator is 3. Use the denominator to see how many times it goes into the numerator.
Knowing 3*3 = 9, then 3 goes into 11 three times
subtract 9 from 11 : 11 - 9 = 2
You are given a remainder of 2
Your whole number is three, and because you have 2 remaining from the 11, the 2 becomes 2/3
Answer: 3 2/3 inches of snow
Hope this helps!
Urgent, Please help!
Answer:
min: 52max: 78median: 63lower quartile median: 54upper quartile median: 73interquartile range: 19Step-by-step explanation:
the temperatures ordered from least to greatest
52, 53, 54, 54, 57, 62, 64, 69, 73, 73, 77, 78
the min is 52
the max is 78
median:
52, 53, 54, 54, 57, 62, 64, 69, 73, 73, 77, 78
(62+64)/2=126/2=63
thus the median is 63
now we don't include the median in finding the upper and lower quartile medians:
lower quartile median:
52, 53, 54, 54, 57, 62
54 (same #s no need to add up and divide by 2)
upper quartile median:
64, 69, 73, 73, 77, 78
73 (same #s no need to add up and divide by 2)
interquartile range is:
upper quartile median-lower quartile median:
73-54
19
write (6b)^2 without exponents
Answer:
36 b^2 = 36 bb
Step-by-step explanation:
(6b)^2
This means multiply what is inside the parentheses by itself
(6b) * 6b
36 b^2
36 b*b
The second statement is the
of the first.
ab
baya
A. converse
B. contrapositive
C. inverse
D. contradiction
Answer: it is contrapositve