(Answer explained)
4(x-8)+12=2(2x-9)
We move all terms to the left:
4(x-8)+12-(2(2x-9))=0
We multiply parentheses
4x-(2(2x-9))-32+12=0
We calculate terms in parentheses: -(2(2x-9)), so:
2(2x-9)
We multiply parentheses
4x-18
Back to the equation:
-(4x-18)
We add all the numbers together, and all the variables
4x-(4x-18)-20=0
We get rid of parentheses
4x-4x+18-20=0
We add all the numbers together, and all the variables
-2!=0
There is no solution for this equation
Trinity has 48.75 in of ribbon she cut the ribbon to 15 equal size pieces what is the length of each piece of ribbon
Answer:
3.25
Step-by-step explanation:
Divide 48.75 by 15
Answer: 3.25
Step-by-step explanation:
48.75/15= 3.25
which units in the metric system are used to measure distance?
Answer:
In the metric system of measurement, the most common units of distance are millimeters, centimeters, meters, and kilometers.
I think it is right ...
HELP ME PLEASE
7. When Mrs. Santo lived in China, temperature was measured in Celsius. She constantly had to convertir
Celsius to Fahrenheit until she started learning Celsius temperatures and how warm they are.
The formula to convert from Celsius to Fahrenheit is F = = C) + 32
The mean temperature for one month was 34°C and the standard deviation was 2.27.C. Applying what
know about multiplying by a constant and adding a constant, what was the mean and standard deviation
Fahrenheit? Be sure to show your work for both the mean and the standard deviation.
Answer:
Mean: [tex]93.2\; \rm ^{\circ} F[/tex].
Standard deviation: [tex]4.086\; \rm ^{\circ} F[/tex].
Step-by-step explanation:
Consider a random variable [tex]X[/tex] with mean [tex]\overline{X}[/tex] and variance [tex]{\rm Var}(X)[/tex].
If a random variable [tex]Y[/tex] is obtained by linearly transforming [tex]X[/tex] for some constants [tex]m \ne 0[/tex] and [tex]b[/tex], then the mean of [tex]Y\![/tex] would be:
[tex]\overline{Y} = m\, \overline{X} + b[/tex].
[tex]\mathrm{Var}(Y) = m^{2} \, \mathrm{Var}(X)[/tex].
The standard deviation of a random variable is the square root of its variance. Therefore, the standard deviation of [tex]Y[/tex] would be:
[tex]\begin{aligned}\mathrm{SD}(Y) &= \sqrt{\mathrm{Var}(Y)} \\ &= \sqrt{m^{2}\, \mathrm{Var}(X)} \\ &= m\, \sqrt{\mathrm{Var}(X)} \\ &= m\, \mathrm{SD}(X)\end{aligned}[/tex].
In this question, the random variable [tex]F[/tex] is obtained by linearly transforming [tex]C[/tex] using the constants [tex]m = (9/5)[/tex] and [tex]b = 32[/tex]. That is:
[tex]F = (9/5)\, C + 32[/tex].
It is given that mean [tex]\overline{C} = 34[/tex] while standard deviation [tex]\mathrm{SD}(X) = 2.27[/tex]. The mean and standard deviation of [tex]F[/tex] obtained from the linear transformation would be:
[tex]\begin{aligned}\overline{F} &= m\, \overline{C} + b \\ &= (9/5) \times 34 + 32\\ &= 93.2\end{aligned}[/tex].
[tex]\begin{aligned}\mathrm{SD}(F) &= m\, \mathrm{SD}(C) \\ &= (9/5) \times 2.27 = 4.086\end{aligned}[/tex].
Thus, when measured in degrees Fahrenheit, the corresponding mean would be [tex]93.2\; \rm ^{\circ} F[/tex] and and standard deviation would be [tex]4.086\; \rm ^{\circ} F[/tex].
Find the exponential function that satisfies the given conditions:
Initial value = 66, decreasing at a rate of 0.5% per week (5 points)
f(t) = 0.5 ⋅ 0.34t
f(t) = 66 ⋅ 1.5t
f(t) = 66 ⋅ 0.995t
f(t) = 66 ⋅ 1.005t
Answer:
C. f(t) = 66 * 0.995^tStep-by-step explanation:
Required function is:
f(t) = 66*(1 - 5/100)^t = 66*0.005^tThe matching option is C
Find the distance between (-6,-1) and (4,-5)
2,889 mi
Distance from South Atlantic Ocean to Gulf of Guinea
I'm lost on this thing, can any of y'all help? would be appreciated
Answer:
wher is question
Step-by-step explanation:
Which expression is equivalent to 10x + 7 - 3x?
a. 7x + 7
b. -7x =7
c. 4x + 7
d. 3x - 7
Answer:
7x+7
Step-by-step explanation:
10x + 7 - 3x
Combine like terms
10x-3x +7
7x+7
Step-by-step explanation:
10x + 7 - 3x
= 10x - 3x + 7
= 7x + 7
[tex] \small{\colorbox{black}{\purple{\boxed{\pink{ \sf\:✨ \small{ḀṆṠẇḕṙ \: ḃẏ}✨{ \small{\gray{\boxed{\orange{\: \tt \: - ꆰꍟꈤ꒒ - \:}}}}}}}} }}[/tex]
in one month, Lee made 4 self-service deposits and 4 self-service withdrawals on her account, she visits a teller on two occasions, once to make a foreign currency purchases and once to pay a bill, her minimum monthly balance was $965.95 She has a Value account, what are her fees? The answer is $5.90 but how do you get that answer?
Answer:hol up
Step-by-step explanation:
746.2 divided by 2.8 and need help to explain it
Answer:
266.5
Step-by-step explanation:
I directly used calculator
$10.00/8 slices is it a unit rate
no, its not a unit rate
You have a 20-ounce bottle of juice. You pour out 1/4 of the bottle to share with a friend. If you pour out 3 ounces for yourself, what fraction of the 20 ounces will be left in the bottle?
Volume Of This Cylinder
Answer:
2827.4 cm
Step-by-step explanation:
Volume of cylinder
V= π*r^2*h
H= height and r= radius
H= 9cm and r = diameter ÷ 2
r= 20cm ÷2 = 10cm
V= 22/7* 10^2* 9cm
V= 2829cm^3
Which expression is equivalent to 10s+s-3s10s+s−3s?
Answer:
9s-3s10s or 3-10s
Step-by-step explanation:
10s+s-3s10s+s-3s
first of all, we collect like terms
10s+s+s-3s-3s10s
=9s-3s10s
it could also be equal to
9s/3s-(3s10s/3s)
3-10s
when we divide through by 3s
forty three thousandths as a decimal? please hurry i need an answer now!
Answer:
0.043
Step-by-step explanation:
can anyone's please explain how you got this answer with explanation....(if nonsense answers I will report)
Answer:
12.5%
Step-by-step explanation:
45/360×100=12.5
(2x + 1)2 − 4x(x − 1) = 7
Answer:
[tex](2x + 1)^{2} - 4x(x - 1) = 7 \\ (2x + 1)(2x + 1) - 4 {x}^{2} + 4x = 7 \\ 4 {x}^{2} + 4x + 1 - 4 {x}^{2} + 4x = 7 \\ 8x + 1 = 7 \\ 8x = 7 - 1 \\ 8x = 6 \\ \\ x = \frac{6}{8} \\ \\ x = \frac{3}{4} \\ \\ x = 0.75[/tex]
What graph shows a proportional relationship between x and y?
Answer:
second graph
Step-by-step explanation:
the line running at same rate
Could someone please help me with this triangle proof?
It's a level 3 proof on Delta Math.
Answer:
DA?
Step-by-step explanation:
I'm not the brightest I'm sorry but i think it might be D A something..
Proved that the [tex]$$ \angle C A B \cong \angle D B A \text $$[/tex]
What are similar triangle ?Similar triangles have the same form but differ in size. Similar items include all equilateral triangles and squares of any side length. In other words, if two triangles are comparable, their corresponding angles and sides are in proportion.
What is Basic Proportionality TheoremThe intercept theorem, also known as Thales' theorem, fundamental proportionality theorem, or side splitter theorem, is a basic geometry theorem that describes the ratios of various line segments formed when two intersecting lines are intercepted by a pair of parallels.
Learn more about the basic proportionality theorem at
https://brainly.com/question/24312914
#SPJ2
Xander goes to the movies with his family. Each family member buys a ticket and two boxes of popcorn. If there are five member of his family, let t represent the
cost of a ticket and p represent the cost of a box of popcorn. Write two different expressions that represent the total amount his family spent. Explain how each expressions describes the situation in a different way.
Answer:
10
Step-by-step explanation:
there are five members 2x5 = 10
Solve the inequality for x
12x>9(2x-3)-15
Step-by-step explanation:
12x > 9(2x - 3) - 15
12x > 18x - 27 - 15
12x > 18x - 42
42 > 6x
7 > x
so, this is true for all values < 7
so, x is in (-infinity, 7)
both ends but included - therefore the round brackets.
Identify each number as rational or irrational.
Number
Rational or irrational?
3
3
116
(3
18
0.625
0.987987987..
Step-by-step explanation:
sorry answer ia not clear
Mr. Chan places $4000 in a bank as a fixed deposit for 2 years. The bank offers an interest compounded yearly. At the end of 2 years, he receives a total of $4243.60. Find the interest rate.
Answer:
Step-by-step explanation:
Mr. Chan originally placed 4,000 in the bank as a fixed deposit for 2 years.
Each years the bank added a certain amount of interest.
At the end of the 2 years he gained 243 dollars and 60 cents just from interest.
How to solve:
Simply take away the 4 in the amount of money
Leaving: $243.60
( 2 years )
Now divide 243.60 by 1/2
which is 121.8
Mr.Chan got 121.8 worth of interest a year
$10.5 a month
$2.3 a week
6 cents a day
All in 2 years.
what is the square of 8
Answer:
Your square would be 64.
Step-by-step explanation:
If you think about if 8 is a square root of a number, the answer is yes. It's 64. When you multiply numbers by themselves, such as 2*2, or 8*8, you get their square. In this case, 8*8 is equal to 64. I hope this helps you. : )
4) mZGHI = 176º, mZLHI = x + 143, and mZGHL = x + 55. Find x. H G
Answer:
x = -11
Step-by-step explanation:
(x + 55) + (x + 143) = 176
Combine like terms...
2x + 198 = 176
Isolate x
2x = -22
x = -11
Solve for m:
2 (m + 7) = -4- m
Your answer
Answer:
m = -6
Step-by-step explanation:
2 (m + 7) = -4 - m
2m + 14 = -4 - m
3m + 14 = -4
3m = -18
m = -6
Hopefully this helps!
Brainliest please?
Answer:
m = -6
Step-by-step explanation:
To solve this equation for m, we multiply out the left side to remove the parentheses:
2m + 14 = -4 - m
Next, we combine like terms: 2m and -m are like terms, as are 14 and -4:
3m = -18
Dividing both sides by 3 yields m = -6
work out the value of 3^2 + 2^3
Answer:
17
Step-by-step explanation:
3² + 2³
= 9 + 8
= 17
Answer:
3/2 can be written as 3*1/2.
Now in 3*1/2 apply PEDMAS
3*0.5
Now multiply 3 with 0.5
The answer is 1.5…
3/2 means half of a three that is 1.5…it is fraction form of 1.5…
Step-by-step explanation:
The volume of this sphere is 972 pi cubic inches. What is its radius?
A sphere.
Recall the formula Sphere Volume = four-thirds pi r cubed.
7 inches
9 inches
108 inches
324 inches
volume of a sphere = ⁴/₃ πr³
⇒ 972π in³ = ⁴/₃ πr³
729 in³ = r³
r = 9 in
∴ the radius of a sphere of volume 972π in³ is 9 inches.Answer:
9 inches
Step-by-step explanation:
5. How does the number line below represent the product of a
positive number and a negative number? Explain.
Please Help The attachment is attached Below ⬇
Answer:
Sorry I can't give you a straight answer right now because I'm in a hurry but here is some help;
Step-by-step explanation:
Remember:
When adding positive numbers, count to the right. When adding negative numbers, count to the left. Add when two of the same signs appear next to each otherwhat are all the possible ratios that can be made out of 32:56
Antonio earned $55.30 mowing lawns. He wants to buy a skateboard that costs $87.95. How
much money does Antonio still need to buy the skateboard?
Answer:
he needs 32.65 so it would be B
Step-by-step explanation:
Answer: Antonio still needs $32.65
Step-by-step explanation:
The second choice b/c he (M) is the money he still needs and when you add the money he still needs with the money he already have then it would result the price of the skateboard.
Hope it helps!