Answers:
a) 6h + 2k
c) 2k + 6h
Step-by-step explanation:
2(3h + k)
Distribute 2 to all the terms in the bracket.
2(3h) + 2(k)
6h + 2k or 2k + 6h
Answer:
The answers are a and c
Step-by-step explanation:
Expand the expression
2(3h + k)
6h + 2k
Since addition is commutative it can also be written as
2k + 6h
Hope this helps
Can someone help me plzzzzz
Answer:
C
Step-by-step explanation:
Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the race. The table shows the lap times, in seconds, for three days of practice. URGENT
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Mr. Kohl has a beaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives each student 3 milliliters of solution, he will have 5 milliliters left over. In order to give each student 4 milliliters of solution, he will need an additional 21 milliliters. How many students are in the class?
Answer:
There are 26 students in the class
Step-by-step explanation:
Let n millilitres be the solution in the beaker
Let x be the number of students in a class
He gives 3 millilitres of solution to each student . He will have 5 millilitres left over.
So, Solution distributed = 3x
Remaining solution = n-3x
So, n-3x = 5 ----1
In order to give each student 4 millilitres of solution, he will need an additional 21 millilitres.
So, n-4x=-21 -----2
Substitute the value of n from 1 in 2
So, 5+3x-4x=-21
5-x=-21
26=x
Hence There are 26 students in the class
Hey, guys, I need help please give an answer and a good explanation thank you.
0.75-0.25+1/2=
Answer:
1
Step-by-step explanation:
Change 1/2 to 0.5 and then do 0.75-0.25+0.5.
Answer:
1
Step-by-step explanation:
0.75-0.25+1/2
=0.50+0.5
=0.5+0.5
=1
The sum of the squares of three consecutive even integers is 980. Determine the integers.
Answer:
16, 18, 20
Step-by-step explanation:
We can estimate that the square of the middle integer will be about 1/3 of 980. Then the middle integer is about ...
√(980/3) ≈ 18.09
The integers are 16, 18, 20.
_____
Check
16^2 +18^2 +20^2 = 256 +324 +400 = 980
Answer:
16, 18, 20
Step-by-step explanation:
Let the three consecutive even integers be (x - 2), x, (x + 2)
[tex] \therefore \: {(x -2 )}^{2} + {x}^{2} + {(x + 2)}^{2} = 980 \\ \therefore \: {x}^{2} - 4x + 4 + {x}^{2} + {x}^{2} + 4x + 4 = 980 \\ \therefore \: 3{x}^{2} + 8 = 980 \\ \therefore \: 3{x}^{2} = 980 - 8 \\ \therefore \: 3{x}^{2} = 972 \\ \\ \therefore \: {x}^{2} = \frac{972}{3} \\ \\ \therefore \: {x}^{2} = 324 \\ \therefore \: x = \pm \sqrt{324} \\ \therefore \: x = \pm \: 18 \\ \because \: x \: is \: even \: integer \\ \therefore \: x \neq - 18 \\ \therefore \: x = 18 \\ \\ x - 2 = 18 - 2 = 16 \\ x = 18 \\ x + 2 = 18 + 2 = 20 \\ [/tex]
Hence, three consecutive even integers are : 16, 18, 20.
3. 10 + (8 x 3) - 32
Answer:
[tex]2[/tex]
Step-by-step explanation:
In order to find the answer to this question use PEMDAS and solve.
[tex]10+(8\times3)-32[/tex]
P goes first:
[tex]8\times3=24[/tex]
[tex]10+24-32[/tex]
A goes next:
[tex]10+24=34[/tex]
S goes last:
[tex]34-32=2[/tex]
[tex]=2[/tex]
Hope this helps.
Answer:
2
Step-by-step explanation:
10 + (8 x 3) - 32
So I’m assuming the x represents multiplication
10 + (8*3) - 32
In Pemdas parenthesis is always first
(8*3)=24
10+24-32
Then addition
10+ 24=34
34-32=2
What is an equation of the line that passes through the point
(−2,−2) and is parallel to the line
5x−y=4?
Answer:
y = 5x + 8
Step-by-step explanation:
If you want to find a equation parallel to the line given, you need to know the slope of the line given. Remember that parallel lines have the same slope.
5x - y = 4 and solving for y:
-y = -5x + 4 and solving for positive y:
y = 5x - 4
So the slope of that line is 5. We will use that along with the coordinate given to us to write the equation first in point-slope form then in slope-intercept:
y - (-2) = 5(x - (-2)) and
y + 2 = 5(x + 2) and
y + 2 = 5x + 10 so
y = 5x + 8
.......................
Answer:
Width: [tex]10y^6[/tex]
Length: 7y² + 3
Step-by-step explanation:
Step 1: Factor out 10
[tex]10(7y^8+3y^6)[/tex]
Step 2: Factor out [tex]y^6[/tex]
[tex]10y^6(7y^2+3)[/tex]
According to the question, the width is the monomial (1 term), so that is equal to [tex]10y^6[/tex]. That means the distributed part would be the length (7y² + 3).
The word ‘over’ is to show a fraction btw
10 over x-4 = 6
Answer:
x = [tex]\frac{17}{3}[/tex]
Step-by-step explanation:
[tex]\frac{10}{x-4}=6\\\\[/tex]
10 = 6*(x -4)
10 = 6*x - 6*4
10 = 6x - 24
Add 24 to both sides
10 + 24 = 6x - 24 + 24
34 = 6x
6x = 34
Divide both sides by 6
6x/6 = 34/6
x = [tex]\frac{17}{3}[/tex]
The squared paper shows the nets of cuboid A and cuboid B. Do the cuboids have the same surface area? Show how you know (FIRST CORRECT ANSWER WILL GET BRAINLIEST THANK YOUU)
Answer:
No because cuboid a is smaller than cuboid b
Step-by-step explanation:
Answer:
No.
Step-by-step explanation:
They do not have the same surface area. My calculations as to how I know: A = 2x2x2+3x2x2+3x2x2= 4x2+6x2+6x2= 8+12+12= 20+12= 30cm B = 1x3x2 + 1x4x2 + 3x4x2= 3x2 + 4x2 + 12x2= 6+8+24 14+24= 38cm
Help me with this somebody.
Answer:
B, √140
Step-by-step explanation:
√28+√112 = √140
Crystal reads 25 pages in 1/2 hour. Write an equation to represent the relationship between the number of pages Crystal reads and how much time she spends reading. Let p=pages and t=number of pages.
Answer:
p=50t
Step-by-step explanation:
The more pages Crystal has to read, the more time she spends reading.
Let p=number of pages read
t=time spent reading the number of pages
As t increases, p increases.
This is a direct proportion and we can write it as:
[tex]p=tk$ where k is the constant of proportionality\\When $ t=\frac{1}{2} $ hour, p=25 pages\\Therefore:\\25=0.5k\\k=25\div 0.5\\k=50[/tex]
Substitution of k into p=tk gives:
p=50t
Therefore, an equation representing the relationship between the number of pages Crystal reads and how much time she spends reading is:
p=50t
Please answer the question now in two minutes
Answer:
the first three options
Step-by-step explanation:
they all have shared points
A sphere has a volume of V=2304 in^3. Find its surface area.
Answer:
The surface area of the sphere is:
[tex]Surface_{sphere}=843.6\,\, in^2[/tex]
Step-by-step explanation:
Recall the two following important formulas:
[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\\\Surface_{sphere}=4\,\pi\,R^2[/tex]
where R is the radius of the sphere.
Then, since we know the sphere's volume (2304 [tex]in^3[/tex]), we can calculate the sphere's radius:
[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\2304=\frac{4}{3} \,\pi\,\,R^3\\\frac{3\,*\,2304}{4\,\pi} =R^3\\R=\sqrt[3]{\frac{6912}{4\,\pi} } \, in\\R=8.1934\,\, in[/tex]
Now, knowing the radius, we can estimate the surface of the sphere using the other formula;
[tex]Surface_{sphere}=4\,\pi\,R^2\\Surface_{sphere}=4\,\pi\,(8.1934)^2\\Surface_{sphere}=843.6\,\, in^2[/tex]
Pls help ima mark BRAINLIST and give u a like
Answer:
C
Step-by-step explanation:
You can tell C is the right answer because one of the inequalities is a vertical line at y=3, which rules out all the other answers. However, if you continue to look at the 2nd inequality, you find the equation is x + y > 2, because the slope is -1 and the y-int is 2.
Answer:
C. [tex]\left \{ {{x\leq 3} \atop {x+y>2}} \right.[/tex]
Step-by-step explanation:
Well I went to Desmos and graphed them.
look at the image below
I need help with this
Answer:
44
Step-by-step explanation:
MRQ=136
In a straight line there is 180 degrees
180-136=44
MRS=44 degrees
alternates angle is a z shape so NMRS is one
So you then RMP is 44 degrees.
Hope it helps just tryed
Approximate the change in the volume of a sphere when its radius changes from r = 40 ft to r equals 40.05 ft (Upper V (r )equals four thirds pi r cubed ). When r changes from 40 ft to 40.05 ft, Upper DeltaValmost equals nothing ftcubed.
Answer:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Step-by-step explanation:
The volume of the sphere ([tex]V[/tex]), measured in cubic feet, is represented by the following formula:
[tex]V = \frac{4\pi}{3}\cdot r^{3}[/tex]
Where [tex]r[/tex] is the radius of the sphere, measured in feet.
The change in volume is obtained by means of definition of total difference:
[tex]\Delta V = \frac{\partial V}{\partial r}\Delta r[/tex]
The derivative of the volume as a function of radius is:
[tex]\frac{\partial V}{\partial r} = 4\pi \cdot r^{2}[/tex]
Then, the change in volume is expanded:
[tex]\Delta V = 4\pi \cdot r^{2}\cdot \Delta r[/tex]
If [tex]r = 40\,ft[/tex] and [tex]\Delta r = 40\,ft-40.05\,ft = 0.05\,ft[/tex], the change in the volume of the sphere is approximately:
[tex]\Delta V \approx 4\pi\cdot (40\,ft)^{2}\cdot (0.05\,ft)[/tex]
[tex]\Delta V \approx 1005.310\,ft^{3}[/tex]
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Melinda is using construction paper to make cone-shaped table decorations. Each decoration will have
a slant height of 7.5 inches and a diameter of 5 inches. How much paper will she need to cover the
surface of 6 cone decorations?
Answer:
The correct answer on EDG-2020 is:
c) ≈471 in.2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
credit to the first guy
What is the exact volume of a cylinder with a height of 30 inches and radius of 13 inches
Answer:
2,451 inches.
Step-by-step explanation:
Formula for volume of a cylinder = V=πr2h
r = 13 inches
h = 30 inches
π=22/7 or 3.14
V = 3.14 × 13 × 2 × 30
= 2,451.43
Answer is 2,451.43
A collection of nickels and quarters has a total value of three dollars and contains 32 coins. Which of the following systems of equations could be used to find the number of each coin?
Answer:
[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]
Step-by-step explanation:
Given that there is a collection of nickels and quarters.
Let N be the number of coins of nickels and
Q be the number of coins of quarters.
It is given that total number of coins are 32.
Number of coins of nickels + Number of coins of quarters = 32
[tex]\therefore \bold{N+Q=32}[/tex] is the first equation.
Now, we know that value of a one quarter coin is 25 cents or [tex]\$\frac{25}{100} = \$0.25[/tex]
and value of a one nickel coin = 5 cents = $0.05
Total value of all nickel coins = Number of nickel coins [tex]\times[/tex] value of one nickel coin = [tex].05N[/tex]
Similarly,
Total value of all quarter coins = Number of quarter coins [tex]\times[/tex] value of one quarter coin = [tex].25Q[/tex]
Total value of coins is 3 dollars.
[tex]\therefore \bold{.05N + .25Q = 3.00}[/tex] is the second equation.
So, the answer is:
[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]
(-4,-2) obtained by translating 3 units up followed by a reflection over the x axis
Answer:
Original Coordinates: (-4, 5)
Step-by-step explanation:
We simply take the opposite directions to find our original coordinates.
Step 1: Translate 3 units down
(-4, -2) --> (-4, -5)
Step 2: Reflect over x-axis
(-4, -5) --> (-4, 5)
Solve the following equation for x: -7 + 4x + 10 = 15 - 2x *
Answer:
x=2
Step-by-step explanation:
-7+4x+10=15-2x
combine like terms
4x+3=15-2x
add 2x to both sides
6x+3=15
subtract 3 on both sides
6x=12
divide 6 on both sides
x=2
A parabola has a vertex at the origin. The focus of the parabola is located at (–2,0).
Answer:
Step-by-step explanation:
I'm going to go way out on a limb here and say that you are probably looking for the equation that goes along with that information. If not, you'll learn something anyway!
The equation that we want to fill in is this one:
[tex](y-k)^2=4p(x-h)[/tex]
where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (since the vertex is directly between the 2). If our vertex is at the origin (0, 0) and the focus is at (-2, 0), first and foremost we need to decide what kind of parabola this is. Remember that a parabola wraps itself around the focus. So our parabola opens to the left (that means that in the end, the equation will be negative, but we'll get there in time). Now we need to determine p, since that's the only "mystery" and everything else was given to us.
p = 2. Filling in the equation:
[tex]-(y-0)^2=4(2)(x-0)[/tex] which simplifies to
[tex]-y^2=8x[/tex] and now we solve it for x:
[tex]-\frac{1}{8}y^2=x[/tex]
Solving Linear Systems by Substitution x+y=5 -3x+2y=5
Answer:
x=8.5
y=-3.5
Step-by-step explanation:
lets say x=5-y
substituting x in the other equation gives -3(5-y)+2y=5
-15+3+2y=5
2y=5+15-3
2y=17
y=8.5
from equation 1 : x+8.5=5
x=5-8.5
x=-3.5
Answer:
X=1y=4Please see the attached picture for full solution...
Hope it helps...
Good luck on your assignment...
Khala plots point A at (Negative 1, Negative 3 and one-half). Which graph shows the location of point A? On a coordinate plane, point A is 1.5 units to the left and 3.5 units down. On a coordinate plane, point A 1 unit to the left and 3.5 units down. On a coordinate plane, point A is 1 unit to the right and 3.5 units up. On a coordinate plane, point A is 1 unit to the right and 3.5 units down.
Answer:
The coordinate plane where the point is 1 unit to the left and 3.5 units down
Step-by-step explanation:
On a coordinate plane the negative side is left and down and positive is up and right so you can eliminate any answer with up or right. The point says its (-1,-3.5) which means it will be 1 to the left making it -1 and 3.5 down which will make it -3.5.
Answer:
D
Step-by-step explanation:
Edge 2020
Sierra makes 8 friendship bracelets in 2 hours.how long does it take her to make 1?
Answer:
2 hours = 120 minutes so it takes her 120 / 8 = 15 minutes to make one.
Does anyone know what to do here?
Answer:
n=-5
Step-by-step explanation:
y^5*y^n= y^5+n when multiply , add exponents
y^5+n/y^2= y^(5+n)-2 divide, subtract exponents
y^(5-5-2) =y^-2
please hellp ......
Answer:
I DUNNO
Step-by-step explanation:
Answer:
BC = 19.371
Step-by-step explanation:
Use the cosine ratio:
Cos(71°) = 6.3/BC
BC = 6.3/Cos(71°)
BC = 19.371 cm
That's it, Best Regards!
A gym for diabetes is offering a deal to new members. Customers can sign up by paying a registration fee of $250 and a monthly fee of $42. Which of the
following models the membership cost?
Answer:
the following model the membership cost is p=250+42m
Can i get a correct answer bc i already asked this on and didn't get the correct answer that was listed
Answer:267.9 in³? Dk if it's right or wrong, forgive me.
Answer:
V = 267.9 in.³
Step-by-step explanation:
Diameter reduced by half = 16/2 = 8 inches
Radius = 4 inches
Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where r = 4
=> V = [tex]\frac{4}{3} (3.14)(4)^3[/tex]
=> V = 804.2/3
=> V = 267.9 in.³