Answer:
x = 5
Step-by-step explanation:
Step 1: Distributive property
Using this property means when you have something like the equation on the right side ( 4 ( x + 3 ) ) you multiply both the values in the parentheses by the number outside:
4 ( x + 3 )
( 4 x X ) + ( 4 x 3 )
4x + 12
8x + 2 = 2x + 4x + 12
Step 2: combine like terms
Combining like terms is when you find like terms with the same variables and such and add them together:
8x + 2 = 12 + ( 2x + 4x )
8x + 2 = 12 + 6x
Step 3:Using inverse operations
This means that you need to get a variable one one side and a constant on the other:
8x + 2 ( -2 ) = 12 ( -2 ) + 6x
8x = 10 + 6x
8x ( -6x ) = 10 + 6x ( -6x )
2x = 10
Step 4: solve for the variable
The last thing you need to do is divide both sides by the constant with the variable ( 2x ) to get x by itself:
2x ( /2 ) = 10 ( /2 )
x = 5
Answer:
x=5
Step-by-step explanation:
Step 1:Using the distributive property on the right side of the equation
8x+2=2x+4(x+3)
8x+2=2x+4x+12
Step2:Combining the like terms on the right side if the equation (Since there are no like terms on the left side) :
8x+2=6x+12
Step 3: Using the inverse operations to get the variables on the left side and the constants on the right side of the equation :
8x-6x=12-2
Step4: Using inverse operation to solve for the variable of interest which is 'x':
2x=10 (Dividing both sides by two sides by 2)
x=5
17 - (-25) =
I need help
Answer:
42
Step-by-step explanation:
rewrite by changing subtraction sign to addition and the following number to opposite
- always involves two sign changes
have a good day
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.12 for each minute of calls. Plan B costs $15 plus an additional $0.10 for
each minute of calls.
For what amount of calling do the two plans cost the
Same?
Answer:
250 minutes
Step-by-step explanation:
10 + 0.12x = 15 + 0.10x
0.02x + 10 = 15
0.02x = 5
x = 250
Your welcome!
Kayden Kohl
8th Grade Student
Write an
equivalent fraction for 2/5 with 45 as the denominator.
Answer:
18/45
Step-by-step explanation:
First you set 2/5 equal to x/45.
Then you see what number you need to multiply 5 by to get 45
Multiply 2 by the number you got and you get x.
The equivalent fraction for 2/5 with a denominator of 45 is 18/45.
We need to figure out what number we can multiply the numerator and denominator by to get the necessary denominator in order to discover an equivalent fraction for 2/5 with a denominator of 45.
The denominator must be multiplied by 9 in order to be converted from 5 to 45 (45 ÷ 5 = 9). To keep the ratio and get the equal fraction, we will also multiply the numerator by 9.
2/5 x 9/9 = (2 x 9) / (5 x 9) = 18/45
As a result, 18/45 is the corresponding fraction for 2/5 with a denominator of 45.
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Which of the following expressions is equivalent to 24/8 ·6/3 · 3?
-7 · 6/3 · 3
-28/4 · 3
-28/24/9
-7 ·6/9
Answer:
I think second one is the ans
NEED HELP FOR REAL 69 points!!!!!!!!!!!!!! ASAP
The physicist from the last problem lets the particle fall another 100 times, and finds that the average travel time is now 16 sec. Remember that when running the simulation many times it took 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. What does she conclude and why?
PLEASEEE!! HEPPPP!!
It takes Shonda of an hour to dry one load of laundry in her dryer. How many hours will it take her to dry 4 loads of laundry?
A. 1/5
B. 1 3/5
C. 3 1/5
D. 4/5
No of hours
[tex]\\ \sf\longmapsto 4(1)[/tex]
[tex]\\ \sf\longmapsto 4 hours[/tex]
None of the above
No links just answer
Simplify
Answer:
first option _32\21 is the answer
Step-by-step explanation:
the answer will
-32/21
I'm indian just came in Canada
indians are very intelligent in maths
2x - 7= -11
What’s the answer?!?!?
Answer:
×=9
Step-by-step explanation:
2× - 7=11
2× - 7+7=11+7
3 Select the correct answer from each drop-down menu. The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 2 square flower beds, one on each side of the playground. The length of the playground island its width is w. The length of each side of the flower beds is a Which two equivalent expressions represent the total fencing material required to surround the playground and flower beds. Assume that the playground and beds do not overlap The total fending material required to fence the playground and both flower beds is
Answer:
Get the perimeter of the each shape and add it all up to get the total fencing material required. 2 square flower beds = 2 x 4a = 8a 1 rectangular play ground = 2l + 2w total fencing material = 8a + 2l + 2w
Answer:
2l + 2w + 8a
Step-by-step explanation:
Person 2 worked for 200 minutes and checked 1,325 comments every 5 minutes
Answer: 33.125
Step-by-step explanation:
So you would do 200 divdied by 5 which is 40 then you would do 1,325 divided by 40 which is the anwser 33.125. If you did it another way let me know.
If f(1) = 160 and
f(n)=1/2f(n-1) what is f(5)?
Answer:
10
Step-by-step explanation:
[tex]f(n) = \frac{160}{ {2}^{(n - 1)} } [/tex]
Answer:
This is 10
f(5) = 5f
1) Convert 0.469 dam to cm.
what does n equal in 4n − 2n = 4
Answer:
Step-by-step explanation:
4 = 2
what is 5.6 less than 25.3
Answer:
19.7
Step-by-step explanation:
AAA help I need to do this for schoosleldkdk
Answer:
[tex] \frac{1}{8} [/tex]
Step-by-step explanation:
The total amount of cards is 8, and the stack have 4 even numbers, so the probability is
4/8 Simplify it and
1/2
Now, there are just 6 cars bigger than 6, so:
2/8. Simplify it
1/4
Now you have to multiply the two values:
1/2×1/4 = 1/8
What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?
A) 78
B) 32
C) 14
(Explain your work)
We have that the fourth term of an arithmetic sequence is
a_4=14
Option C
From the question we are told
What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?
A) 78
B) 32
C) 14
(Explain your work)
Generally the equation for the arithmetic sequence is mathematically given as
[tex]a_4=a_1+(n-1)d[/tex]
Therefore
For seventh term
[tex]5=23+(6)d\\\\d=5-23/(6)\\\\d=-3[/tex]
Therefore
For Fourth term
[tex]a_4=23+(3*(-3))[/tex]
a_4=14
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9% out of 432 kids want to be lawyers. How many kids did not want to be lawyers?
Answer:
393.12 kids. This is technically impossible, as you can't have 0.12 of a kid, so I will round down to 393 kids.
Step-by-step explanation:
9% = 0.09
x = amount of kids who want to be lawyers
y = amount of kids who do not want to be lawyers
x = 0.09(432)
x = 38.88
y = 432 - 38.88
y = 393.12
Round 6,823 to the nearest thousand
Answer:
7,000
Step-by-step explanation:
how do i write the word form and the expanded form for 3.4 and 2.51
Answer:
(3×1)+(4/10) & two and fifty-one hundredths
Step-by-step explanation:
In order to write a decimal in expanded form you need to create a equation that equals the decimal you are trying to expand, and for writing decimal in word form you need to remember the names of place values.
1. 3.4
[tex]3.4=(3\times`1)+(\frac{4}{10} )[/tex]
2.2.51
two and fifty-one hundredths
Hope this helps.
Click this if you are a savage
Answer:
i am
Step-by-step explanation:
pro!
uhfy1gujhqfvwtfu
2/3 divide 1/8 using kcf
Answer:
2/3 divdied by 1/8 is 5 1/3
Step-by-step explanation:
You first keep the 2/3, change the operation to multiplication, then flip the 1/8 to 8/1, then multiply across to get 16/3. After that, simplify to get 5 1/3
find the value of a square + b square when a+b = 6 a_b = 4
Answer:
a+b=6
a-b =4
______subtract
(a-a)+(b-(-b))=6-4
0+2b = 2
b= 1
put the value of b at any equation
a+1 =6
then a=6-1=5
a square+b square= 25+1= 26
HELP!! ASAP
A graphic designer makes a sketch for an image that will appear on a poster. The width of the sketch is 14 in. She figures that it should be enlarged to 220% to make the final image. How wide will the final image be?
Answer:
220
Step-by-step explanation:
A 4-quart jug of juice costs $4.48. What is the price per cup?
Answer:
28 cents.
Step-by-step explanation:
There are 4 cups in 1 quart. So, 4 quarts is 16 cups.
If 4 quarts costs $4.48, to find the price per cup, you need to divide $4.48 by 16.
4.48 ÷ 16 = 0.28
This means each cup is 28 cents.
I hope this helps! :)
Step-by-step explanation:
you devide 4.48by 16 and your answer is 0.28
Use polar coordinates to find the volume of the given solid.
Below the plane
2x + y + z = 4
and above the disk
x2 + y2 ≤ 1
Using polar/cylindrical coordinates, we take
x = r cos(t )
y = r sin(t )
z = z
so that
dV = dx dy dz = r dr dt dz
The solid is given by the set
D = {(x, y, z) : x ² + y ² ≤ 1 and 0 ≤ z ≤ 4 - 2x - y}
or in cylindrical coordinates,
D = {(r, t, z) : 0 ≤ r ≤ 1, 0 ≤ t ≤ 2π, and 0 ≤ z ≤ 4 - 2r cos(t ) - r sin(t )}
Then the volume of the solid is
[tex]\displaystyle \iiint_D \mathrm dV = \iiint_Dr\,\mathrm dr\,\mathrm dt\,\mathrm dz \\\\ = \int_0^{2\pi} \int_0^1 \int_0^{4-2r\cos(t)-r\sin(t)} r\,\mathrm dz\,\mathrm dr\,\mathrm d t \\\\ = \int_0^{2\pi}\int_0^1 (4r-2r^2\cos(t)-r^2\sin(t))\,\mathrm dr\,\mathrm dt \\\\ = \int_0^{2\pi} \left(2 - \frac23 \cos(t) - \frac13 \sin(t)\right) \,\mathrm dt \\\\ = \boxed{4\pi}[/tex]
The volume of the given solid below the plane 2x + y + z = 4 and above the disk x2 + y2 ≤ 1 is 4π.
What is the volume of the solid in polar coordinates?The volume of the solid in polar coordinates can be calculated by the double integral in polar coordinates.
[tex]V = \iint_R f(x,y) \,dA.\\[/tex]
Similarly, by polar coordinates,
x = r cost
y = r sint
z = z
we get, dV = dx dy dz = r dr dt dz
The solid is given
D = {(x, y, z) : x ² + y ² ≤ 1 and 0 ≤ z ≤ 4 - 2x - y}
or in polar coordinates,
D = {(r, t, z) : 0 ≤ r ≤ 1, 0 ≤ t ≤ 2π, and 0 ≤ z ≤ 4 - 2r cos(t ) - r sin(t )}
The volume of the solid is
[tex]\rm \int \int\int\ dV = \int \int\int\ rdr dt dz\\ \rm = \int\limits^{2\pi}_0\int\limits^1_0 \int\limits^{4-2rcost-rsint}_0 rdr dt dz\\\rm =\int\limits^{2\pi}_0\int\limits^1_0 {4r-2r^{2} cost-r^{2} sint} dr dt\\\rm =\int\limits^{2\pi}_0( 2-2/3cost-1/3sint) dt\\\rm =4\pi[/tex]
Hence, The volume of the given solid below the plane 2x + y + z = 4 and above the disk x2 + y2 ≤ 1 is 4π.
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Mr. Cruz bought 9 3/5 kg of meat. He used 2 3/5 kg for adobo, 4 3/5 kg for menudo and the rest for afritada. How many kilograms of meat did he use for afritada?
Answer:
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Step-by-step explanation:
If 5 pieces of steel bar each 6 1/2" long are welded together, how long will the new
bar be?
How does the test variable of an object affect the amount of mechanical energy it contains?
Answer:
rg53º
Step-by-step explanation:
grnrgnrn
Alyssa purchased 3 pounds of peanuts for $8.25. Write an equation that shows the relationship between the cost and the number of pounds purchased
Answer:$8.25 ÷ 3= x or 3·x =8.25
Step-by-step explanation:
3*x=8.25
Write a three digit number that gives same answer when rounded to the nearest ten and to the nearest hundred .explain
Answer:
Numbers can be rounded to the nearest ten, the nearest hundred, the nearest thousand, the nearest million, and so on. All the numbers to the right of the place you are rounding to become zeros. Rounded numbers are easier to remember and easier to use.