Answer:
c = 2
Step-by-step explanation:
2c – 4 = 3(4 – 2c)
Expand brackets:
⇒ 2c – 4 = 12 - 6c
Add 6c to both sides:
⇒ 8c – 4 = 12
Add 4 to both sides:
⇒ 8c = 16
Divide both sides by 8:
⇒ c = 2
Answer:
c = 2
Step-by-step explanation:
First expand 3(4-2c):
3×4=12
3×-2c=-6c
Now our equation is :
2c-4 = 12-6c
Add 4 to both sides:
2c-4+4=12-6c+4
Simplify:
2c = -6c+16
Add 6c to both sides:
2c+6c = -6c+16+16
Simplify:
8c=16
Divide both sides by 8:
8c÷8 = 16÷8
c = 2
There are 22 male lambs and 28 female lambs in a yard.
Ten males and 14 females have been shorn.
One of the lambs escapes from the yard.
What is the probability that it is a shorn male?
Answer:
shorn male = 20%
Step-by-step explanation:
The probability that the escaped lamb is a shorn male is 1/5 or 0.2, which is 20%.
To find the probability that the escaped lamb is a shorn male, we need to calculate the ratio of shorn male lambs to the total number of lambs.
Number of shorn male lambs = 10
Total number of lambs = 22 (male) + 28 (female) = 50
Probability = (Number of shorn male lambs) / (Total number of lambs)
Probability = 10 / 50
Probability = 1 / 5
So, the probability that the escaped lamb is a shorn male is 1/5 or 0.2, which is 20%.
To know more about probability:
https://brainly.com/question/32117953
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What is the area of a rectangle whose sides are 12 feet long and 5 feet wide?
Answer:
60
Step-by-step explanation:
Area of rectangle (A)=Length (L) × Width (W)
A=12×5
A=60
Find the value of xx, yy, and zz in the parallelogram below.
Answer: x = 36, y = 10, and z = -25
Step-by-step explanation:
99 and -3z +6 are same side interior angles, so they sum to 180 degrees.
99 -3z + 6 = 180
-3z = 75
z = -25
Opposite angles of a parallelogram are congruent
2x + 9 = -3x + 6
2x + 9 = 75 + 6
2x = 81 - 9
2x = 72
x = 36
9y + 9 = 99
9y = 90
y = 10
According to definition of parallelogram
opposite sides and angles are equalConsecutive sides have sum 180°[tex]\\ \rm\hookrightarrow 2x+9+99=180[/tex]
[tex]\\ \rm\hookrightarrow 2x+108=180[/tex]
[tex]\\ \rm\hookrightarrow 2x=72[/tex]
[tex]\\ \rm\hookrightarrow x=36[/tex]
2x+9=72+9=81And
-3z+6=81-3z=75z=-25And
9y+9=999y=90y=10It is believed that 90 percent of the population of all students consider statistics to be an exciting subject. Suppose we randomly and independently selected 20 students from the population. Find the probability that at least 15 of these students consider statistics to be an exciting subjec
Answer:
18 students
Step-by-step explanation:
90 percent of 20 is 18. 75 percent of 20 is 15.So More than 15 students .
Write 3 3/4 as an improper fraction?
Answer:
15/4
Step-by-step explanation:
multiply the whole number (3) by the denominator (4), then add the numerator (3) then put that over the denominator to convert any mixed number into an improper fraction.
Answer:
Step-by-step explanation:
Do the denominator times the whole number. Then add the numerator as well. Next that answer is your numerator and then you add the denominator of the fraction to the improper fraction
Question 7: Help Me Please
Answer:
m∠UQT = 52°
m∠UTQ = 42°
x = 1
Step-by-step explanation:
∠UQT is an alternate interior angle of ∠RSQ
Therefore, ∠UQT is 52°
∠UTQ is an alternate interior angle of ∠URS
Therefore, ∠UTQ is 42°
The diagonals of a parallelogram are congruent, so 4x + 1 is 5
-Chetan K
QS is the intersector
<UQT=<QSR(Alternative interior angles)=52°Similarly
<UTQ=<URS=42°Now
Diagonals of parallelogram bisect eachother
[tex]\\ \rm\Rrightarrow 4x+1=5[/tex]
[tex]\\ \rm\Rrightarrow 4x=4[/tex]
[tex]\\ \rm\Rrightarrow x=1[/tex]
Triangle A"B"C"is the image of triangle ABC after a sequence of
transformations. Which sequence of transformations could have been
applied?
A. AABC is translated 2 units right, then rotated 90° clockwise about
the origin
B. AABC is translated 2 units right, then rotated 90° clockwise about
the origin
C. AABC is translated 1 unit down, then rotated 90° clockwise about
the origin
D. AABC is translated 1 unit right, then rotated 90° clockwise about
the origin
The answer is D) AABC is translated 1 unit right, then rotated 90° clockwise about the origin
Step-by-step explanation:If you follow the steps translating triangle ABC to A"B"C" and rotating it. You will get that answer. I can envision it mentally simply by following one coordinate at a time which can help me during tests and is how the translations work.
For instance if you moved the A coordinate 2 units to the right it would sit on the y axis, and when rotated 90 degrees wouldn't 1 unit above the x axis but on it. You can simply use mental math for questions like this because they are simple enough to follow where you just pick a coordinate and do the translating and dilating based on what you are given.
Sorry if it's not a mathematical explanation but it's how I usually solve these questions! Hope I could help!!
~Neo
The Sequence of Transformation that has been applied is; D. AABC is translated 1 unit right, then rotated 90° clockwise about the origin.
How to work with Translation Rotations?From triangle translation of ABC to A"B"C" and rotation of it, we can see that;
If we moved the A coordinate 2 units to the right it would sit on the y axis, but when rotated 90°, it would be 1 unit on the x axis.
Thus, applying the principe of translation and rotation we can say that AABC is translated 1 unit right, then rotated 90° clockwise about
the origin.
Read more about Translation and Rotation at; https://brainly.com/question/5612016
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Solve the system of equations using the substituton method or the elimination method. You must use one of these methods in your written work. 4x + y = 23 y=x+8
Answer:
x = 3 and y = 11 is the answer.
in graph, this is an intersecting lines which means it has one solution.
Step-by-step explanation:
4x + y = 23
y = x + 8
arranged:
4x + y = 23
-x + y = 8
4x + y = 23
4 (-x + y = 8)
4x + y = 23
-4x + 4y = 32
———————
0 + 5y = 55
5y/5 = 55/5
y = 11
substitute:
y = 11
y = x + 8
11 = x + 8
11 - 8 = x
3 = x
Write the fraction as a sum of unit fractions. 6/12=
Answer:
This is the answer: 1/2
Step-by-step explanation:
hope this helps
got a mind blank just wondering if im right :)
13 + (-2)
= 13 - 2
Answer:
yeah then the ans is 11
Step-by-step explanation:
.........
PLEASE I NEED HELP QUICKLY!!! Find the solution for the given system of equations in the form (x,y). -x+y=8 7x+3y=-6
Answer:
The answer D is correct.
Step-by-step explanation:
-x + y = 8 ⇒ ( 1 )
7x + 3y = - 16 ⇒ ( 2 )
y = 8 + x ⇒ ( 3 )
Let us take equation 2 and let us replace y with (8+x).
Let us solve and find the value of x.
7x + 3y = -16
7x + 3 ( 8 + x ) = - 16
7x + 24 + 3x = -16
10x + 24 = -16
10x = -16 - 24
10x = -40
x = (-4)And now let us find the value of y.
For that, let us use equation (3)
Here, we have to replace x with -4 to find the value of y.
y = 8 + x
y = 8 - 4
y = 4Now we have to the answers in the form ( x , y )
Let us write.
( x , y ) ⇒ ( -4 , 4 )
Let me know if you have any other questions. :-)
If f(x) = ax + c and f(3) = f(8), then a =
Answer:
Is there any information in what the value of c is
You have to be at your job by 9 a.m. every morning. If it takes you 15 minutes to
walk to the bus stop , 30 minutes to get to your job, and 5 minutes to walk in and
check in, What time would you leave home?
Answer:
8:10am
Step-by-step explanation:
You have to leave home because it takes you 15 minutes to walk to the bus stop so that will be 8:25am
takes you half an hour to get to job 8:55am
then 5 minutes to check in and you will be on time
Answer 8:10am
Complete.
A rectangular tank shown is filled with water to À of its height
Water from a tap flows into the tank at 2.5 liters a minute.
How much water is in the tank after 5 minutes?
Give your answer in liters. (1 L = 1000 cm)
Volume of water in the tank
30 cm
Х
Х
Х
3
cmº
28 cm
45 cm
Х
L
Volume of water from the tap =
=
L
Volume of water in the tank =
liters of water is in the tank after 5 minutes.
293
Lesson 15.5 Volume of a Rectangular Prism and Liquid
Answer:
50cm had a good day at work and
Use cross products to solve the proportion.
14/21=a/9
Answer:
[tex]\sf\boxed{a=6}}}[/tex]
Step-by-step explanation:
Isolate the term of a from one side of the equation.
14/21=a/9
Use cross products.
[tex]\sf{14*9=21*a}[/tex]
Solve by a.
[tex]A=\dfrac{14*9}{21}=\dfrac{126}{21}=\boxed{\sf{6}}[/tex]
a=6
So, the final answer is a=6.
I hope this helps! Let me know if my answer is wrong or not.
x decreased by 50 % and then increased by 50%
which number is heater and by how much
Answer:
baddie uwu
Step-by-step explanation:
harder daddy harder
Write 4.83…. (The 3 repeats infinitely)as a mixed number
Answer:
[tex]4\frac56[/tex]
Step-by-step explanation:
[tex]\frac56=0.8 \dot{3}[/tex]
[tex]\implies 4.8 \dot{3}=4\frac56[/tex]
4 5/6 if you need more answers go to decimal converts fractions and you will have it on your own
have a wonderful day
Hailey lee
What is the exact value of cos(-60)?
-sqrt(3)/2
-1/2
1/2
sqrt(3)/2
Answer:
1/2
Step-by-step explanation:
Look for the angle of -60, you will see the coordinate (1/2,-sqrt3/2)
The cosine function is the x value of each coordinate of the unit circle
Let me know in the comments if you have any questions! If you could mark this answer as the brainliest I would greatly appreciate it! :D
Answer:
Step-by-step explanation:
c 1/2
Jamie left a 15% tip for a $49 meal. How much did Jamie pay for the meal and the tip together?
Answer:
$56.35
Step-by-step explanation:
Ok so heres how I got through this in school. Take the 49 and divide it by the 100 meaning 100 percent. You take the 0.49 times the 15 percent to get 7.35. Lastly, you add the 49 dollars and the 7.35 together to get 56.35.
- i need a help ......
Answer:
magnitude of D = 36⁰
magnitude of E = 72⁰
magnitude of F = 72⁰
Combine the like terms to create an equivalent expression. (6e−3f−4)⋅2
Answer:
here is your answer
if you will not like then you are ehsanfaramosh
Find each percent decrease. Round to the nearest percent.
6. From 100 ounces to 25 ounces
Answer:
-75%
Step-by-step explanation:
((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
((25 - 100) / 100) * 100 = -75 %
help me please for this question
Answer: D. y= 15/x
Step-by-step explanation:
We have to test each explanation first, but I started with D because it is the most reasonable.
When you check the first column, you take 15 and divide it by 15. What do you get? 1.
1. X= 15 Y= 1 (15/15) = 1
When you check the second column, you take 15 and divide it by 5. What do you get? 3.
2. X= 5 Y= 3 (15/5) = 3
When you check the third column, you take 15 and divide it by 3. What do you get? 5.
3. X= 3 Y= 5 (15/3) = 5
When you use the fourth column, you take 15 and divide it by 1. What do you get? 15.
4. X= 1 Y= 15 (15/1) = 15
Since this all checks out, the answer is therefore correct.
*MAKE SURE TO READ IT CAREFULLY TO UNDERSTAND IT*
On a coordinate plane, point A is 2 units to the left and 5 units up. Point B is 5 units to the right and 5 units up.
What is the distance between the points?
Point A is located at the point
.
Point B is located at the point
.
The distance between the points is
units.
Answer:
I don't know i have no answer too
Step-by-step explanation:
Sorry again i need answer too
Answer:
b d d
Step-by-step explanation: i did it on edge
2. Mary's pet gerbil is 1/3 of a foot long. How many inches long is the gerbil?
A. 6 inches
B. 3 inches
C. 5 inches
D. 4 inches
What is the answer!!!!!
Answer:
4 is the answer
Step-by-step explanation:
I hope this helps
For the function f(x) = —8x + 3, determine f(—2).
Answer:
here
Step-by-step explanation:
Select all of the solutions to the following inequality. 4x+6 > 3x-9
-8
-15
0
-18
2
-10
15
-22
Answer: -8, 0. 2, -10, 15
Step-by-step explanation:
4x+6 > 3x-9
x + 6 > -9
x > -15
So the answers are -8, 0. 2, -10, 15.
Solve
a cylinder of radius r cm and height h cm has a curved surface area A cm[tex] {}^{2} [/tex], where[tex]A = 2\pi rh.[/tex]
a) obtain a formula for h
b) find the value of h when A = 93 ,R = 2.5 and [tex]\pi[/tex]= 3.1
Answer:
(a) h = A/2πr
(b) 360.375
Step-by-step explanation:
(a) divide both sides by 2πr
h = A/2πr
(b) h= 93 / 2*3.1*2.5
= 360.375
Round 30.59 to the nearest 1 decimal place
Answer:
30.6
Step-by-step explanation:
if the decimal previous is 5 or above, round it up
if the decimal previous is 4 or below, leave it as it is
Answer:
31
Step-by-step explanation:
Because since .9 is a big number it would round up 5 into a 6 so the 6 would round up 30 into 31
find the lateral area of the square pyramid.
please help ill mark as brainlest!