Answer:
y = (5-2x)/7 = 5/7 - 2x/7. option C
Step-by-step explanation:
here's your solution
=> 7y + 2x = 5
=> 7y = 5 - 2x
=> y = (5-2x)/7
[tex]\huge\mathfrak\red{hope \: it \: helps...}[/tex]
The black trapezoid is a dilation of the green trapezoid. What is the scale factor of the dilation?
A) 1/5
B) 1/3
C) 3
D) 5
============================================================
Explanation:
We're told that "The black trapezoid is a dilation of the green trapezoid". This means the black trapezoid is the image, while the green one is the preimage. In other words, the green is the "before" and the black is the "after". The mapping is [tex]\text{green} \to \text{black}[/tex] because of the ordering [tex]\text{preimage} \to \text{image}[/tex]
Since the green figure (preimage) is larger than the black figure (image), the scale factor must be some value k such that 0 < k < 1. That narrows the answer choices between A and B.
Focus on the green trapezoid. The bottom left corner is at (-10,0). The bottom right corner is at (5,0). The distance between these two points is 15 units.
Using the same idea, the distance along the bottom edge of the black trapezoid is 3 units. We can count out the spaces along the bottom, or we can note the two bottom corners are at (-2,0) and (1,0).
------------------------------
So far we found:
The bottom edge of the green trapezoid is 15 unitsThe bottom edge of the black trapezoid is 3 unitsThese two edges correspond to one another. We divide the values to get the scale factor. We divide the image length over its corresponding preimage length.
scale factor = (image length)/(preimage length)
scale factor = 3/15
scale factor = 1/5
a car travels a distance and of 180 km in 2 hours on a straight road .how many km can it travel in 3 hours at the same speed
Answer:
270 KM
Step-by-step explanation:
180 divided by 2= 90
90*3= 270
How many degrees are in a third of a full turn?
Answer:
120 degrees
Step-by-step explanation:
There are 120 degrees in a third of a full turn. To determine this, you need to start with a full turn which is 360 degrees.
Answer:
120⁰ is the answer. Hope it helps have a nice day also ;)
A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a
wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. The participant wins the dollar amount marked on
the space on which the wheel stops. Let X represent the value of a spin. The distribution of X is given in the table.
a.1 b.1.5 c.2 d.2.1
Answer:
The median of the distribution is (first option);
1
Step-by-step explanation:
The values on the given table are presented as follows;
[tex]\begin{array}{cccccc}Value \ of \ Spin&0&1&2&5&10\\Probability&0.4&0.2&0.2&0.1&0.1\end{array}[/tex]
To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;
Cumulative probability, starting from the left, is therefore;
Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6
Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1
The median value of the distribution of X is 1
How to determine the median?The cumulative probability of the distribution is:
[tex]\sum E(x) = 1[/tex]
The median position is calculated as:
[tex]Median = \frac{\sum E(x)}{2}[/tex]
This gives
[tex]Median = \frac{1}{2}[/tex]
Median = 0.5 th
This mean that the median is at the 0.5th position
The value of the spin at the 0.5th position is 1
Hence, the median value of the distribution of X is 1
Read more about median at:
https://brainly.com/question/14532771
#SPJ2
Ms Adams shares out 28 pencils between Niamh and Jack in the ratio 2:5 How many pencils does each child get?
Answer:
Niamh gets 8 and Jack gets 20
Step-by-step explanation:
Answer:
Niamh gets 8 and Jack gets 20!
may someone help me please and thank you, how do u find an equivalent fraction?? :)
Here are the ways that you can find an equivalent fraction:
Multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction. Only divide when the top and bottom stay as whole numbers.
Answer:
You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction.
Step-by-step explanation:
Hello I really need help be genuine I don’t want any links ! I really need help I will make brainliest :(
Answer:
28 of the student do not snowboard
Step-by-step explanation:
Can somebody help me out my grade are bad
Answer:
N-3
Step-by-step explanation:
PLZZZ HELPP MEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
question 1
[tex]6 {x}^{4} - 36 {x}^{3} \\ 6 {x}^{3} (x - 6)[/tex]
question 2
[tex]64 {x}^{2} + 48x + 9 \\ {(8x + 3)}^{2} [/tex]
which of the following will not have congruent diagonals
Please help me what is it
Answer:
13/14
Step-by-step explanation:
3/7 x 2/2 = 6/14
1/2 x 7/7 = 7/14
6/14 + 7/14 = 13/14
Answer:
1/14
Step-by-step explanation:
The radius of a cylindrical water tank is 6.5 ft, and its height is 17 ft. What is the volume of the tank?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
6.5 ft
ft
17 ft
X
Answer:
pi*36*10 = 1131 cubic feet
Step-by-step explanation:
MARK AS BRAINLEST!!
Step-by-step explanation:
pi*36*10= 1131 cubic feet
What is 0.75 = 0.4 + 100
Answer:
0.75≠100.4
Step-by-step explanation:
You are painting the root of a boathouse. You are going to place the base of a ladder 12 feet from the boathouse. How long does the ladder need to be to reach the poof of the boathouse?
Answer:
37 ft
Step-by-step explanation:
The ladder forms a right triangle as it elan's against the wall of the boat house.
Thus, the length of the ladder can be determined using Pythagorean theorem.
c² = a² + b²
c = length of ladder
a = 35 ft
b = 12 ft
Plug in the values
c² = 35² + 12²
c² = 1,225 + 144
c² = 1,369
c = √1,369
c = 37
Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft
What is 4^4 in algerbra mathematics?
Answer:
256
Step-by-step explanation:
4 to the exponent of 4 = 256
What is the answer?????
Answer:
5/12
5 balloons were yellow out of the 12
find the value of x in the figure.
please help me
i’m so stuck
Answer:
2 cm
Step-by-step explanation:
V=πr2h = 20π
-π -π
r2h = 20
h= 5
r2(5) = 20
/5 /5
r2=4
/2 /2
r=2cm
(my work is complicated, but trust me 2 cm is the answer)
3.2x4.9-1.5 simplify
Answer:
14.18
Step-by-step explanation:
3.2*4.9= 15.68
15.68 -1.5 = 14.18
State six ordered pairs for this function.
F(x) = x2 +14x+45
15 pts, Trigonometic ratios. Please solve as it says on the mandate, Thanks!
Answer:
WY = 8
Step-by-step explanation:
We solve for above question using the Trigonometric function of Sine
sin θ = Opposite/Hypotenuse
Opposite = WY = x
Hypotenuse = 9
θ = 63°
Hence,
sin 63° = x/9
Cross Multiply
x = sin 63° × 9
x = 8.0190587177
Approximately x = 8
Therefore, WY = 8
Two partners starting a new restaurant and the total investment is $67,000. Their investments are in the Ratio 3:4. How much does each investor contribute?
Answer:
One investor should make ABOUT $28714.29 while the other will make about $38285.71
Step-by-step explanation:
67000 x 3/7 =28714.285...
67000 x 4/7 = 38285.714....
Divide 16,912 by 28
A. 604
B. 640
C. 6,040
D. 6,400
Answer:
604
Step-by-step explanation:
I did the math
Hi how’s your day ? Would you like to help me ?
Answer:
Hi
Good
I think its the second but i'm not sure because there are no measurements
Good luck
Consider the geometric sequence 8,4,2,1,...
Answer:
Its A for the function that represents the geomertric sequence
50 points HELP PLEASEEE
We all know how toilet paper has been horded during the pandemic. Your
teacher has cleared out a closet to hoard TP. Using the Fermi process, you need to
estimate the number of rolls of TP she can fit into a rectangular prism section of a
closet with dimensions of 36 in. by 108 in. by 36 in. Measure a roll of TP at your
home, remember it is a cylinder you need its radius and height to calculate its size.
Radius: _________ Height: ____________
About how many rolls of TP can fit into the closet section?
Answer:
radius: 78 height: 92
im so sorry if im wrong! i did math and everything!
Assume the radius is 5 and the height is 4.
We first need to find the volume of both the TP roll and the volume of the closet.
In order to find the volume of the TP roll, we need to use the formula [tex]V[/tex] = [tex]\pi[/tex][tex]r^{2}[/tex][tex]h[/tex] (r meaning radius and h meaning height), so that means we have to do 3.14 × 5 × 5 × 4.
After solving, we get 314 as our answer.
Next we need to find the Volume of the closet by using the formula L × W × H (L meaning Length, W meaning Width, and H meaning height), so that means we have to do 36 × 108 × 36.
We then get 139,968 as our answer.
The last thing we need to do is 139,968 ÷ 314.
The answer we get is 445.
So the answer to this question is: About 445 rolls of TP can fit into the closet.
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
[tex]16[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 8x + c[/tex]
[tex] {x}^{2} + c - 8x[/tex]
To find the c value [tex]c = ( \frac{b}{2})^{2} [/tex] , divide the coefficient of x by 2 and square the result.
[tex]( - 1 \times 4 {)}^{2} [/tex]
[tex]( - 4 {)}^{2} [/tex]
[tex]16[/tex]
Hope it is helpful....Sullivan’s boss has 5 eyes total. Three of his eyes are smaller than the other two. What percentage of his eyes are larger?
Answer:
40%
Step-by-step explanation:
3/5 are small so we have to find 2/5 which is 40%
2/5=x/100
cross multiply
you'll get: 5x=200
divide and thats how u get 40 %
At age 20, William starts a career with a salary of $40,000 and a promise of a yearly raise of 2%. Approximately how much money will he make over 10 years?
Answer:
8759.78
Step-by-step explanation:
cause by the end of the 10 years he would have 48759.77 minus that by 40,000 you would get 8759.78
Approximately how much money will he make over 10 years is $8,759.78.
Using this formula
Amount=[Principal(1+rate)^t]- Principal
Where:
Principal=$40,000
Rate=2%
Time=10 years
Let plug in the formula
Amount=[$40,000×(1+0.02)^10]-$40,000
Amount=[$40,000×(1.02)^10]-$40,000
Amount=$48.759.776-$40,000
Amount=$8,759.776
Amount=$8,759.78 (Approximately)
Inconclusion approximately how much money will he make over 10 years is $8,759.78.
Learn more here:
https://brainly.com/question/7603664
Please help! This is urgent what is the answer
Answer:
Your answer would be 3.4
Step-by-step explanation:
I would explain but it seems like you in a hurry for the answer so I'm just going to give you the answer hope you get a %100 on whatever your doing!!
Please mark brainly!
Answer:
Step-by-step explanation: