Expand the expression 3(7 + x)
Answer:
3x + 21 or 21 + 3x
Step-by-step explanation:
Remark
This is an example of the distributive property. Of all the fundamental rules used in solving equations, this is likely the most important, at least at beginning levels.
Solution
What this is saying is two things.
1. you must multiply both terms on either side of the + sign by the factor outside the brackets.
2. You must not destroy a plus (or minus) sign unless the two terms inside the brackets are exactly the same.
3(7 + x) The terms are not the same, so your answer must have a plus sign
Left side of the plus: 3*7
Right side of the plus: 3 * x
The answer then is 21 + 3x
It is more commonly written as 3x + 21
can anybody help on this question ? please and thank you !!
Answer:
Sorry I'm only in algebra one.
Step-by-step explanation:
Yun Sil added twice as many new songs on her MP3 player as Matt, who added 5 more new songs on his MP3 player than Sierra. The sum of the
songs added on all three players is 15 more than the cube of the number of songs added on Sierra's player. About how many songs are on each
person's player?
Answer:
Sierra=2songs
Matt=7songs
Yun SIl=14songs
step-by-step explanation:
Step 1
Let,The number of songs YunSil added = x
Number of songs Matt added = y
And number of songs Sierra added = z
Such that Matt has 5more than Sierra =y = 5 +z
Yun SIl has 2 times more thann Matt, x = 2y
x =2(5+z)=10 +2z
Step 2
The expression used to determine number of songs on each player given that the total of songs added on the three players =15 +z^3
Such that
YunSil+Matt+Sierra==15 +z^3
10+2z+ 5+z +z = 15 +z^3
4z +15 = 15 +z^3
4z=15-15+z^3
4z=+z^3
4=z^3/z
4=z^2
Z=√4 =2
Therefore Sierra has z=2songs
Matt has 5+z=5+2=7songs
YunSil has 2(5+z)= 2x7=14songs
The song that are on each person player are as follows;
matt song = 7
Yung Sil song = 14
Sierra song = 2
Let
a = Matt song added
b = Yun Sil song
c = Sierra song =
Therefore,
b = 2a
a = c + 5
(c + 5 + 2a + c) - c³ = 15
(2c + 2(c + 5) + 5) - c³ = 15
2c + 2c + 10 + 5 - c³ = 15
4c + 15 - c³ = 15
4c - c³ = 0
c³ = 4c
c² = 4
c = √4
c = 2
a = 2 + 5 = 7
b = 2(7) = 14
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ILL GIVE BRAINLIESTTTTTT
help!!! use proportional reasoning to find 65%of 200.... also whats the part and wholeeeeeee thanks
Answer:
130
Step-by-step explanation:
65*2=130
In 1995, there were 80 birds in a park. The population increased by 5% each year. The number of birds in the park in 1997 was
Answer:
88.2
80(1+0.05)* 2
Step-by-step explanation:
The number of birds in the park in 1997 is given by the equation A = 88.2 birds
What is exponential growth factor?
The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the number of birds in 1997 be represented as A
Now , the equation will be
The number of birds in 1995 x₀ = 80 birds
The time n = 1997 - 1995 = 2 years
The percentage of increase r = 5 %
The number of birds A is calculated by exponential growth factor ,
Substituting the values in the equation , we get
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( 2 ) = 80 ( 1 + ( 5/100 ) )²
On simplifying the equation , we get
x ( 2 ) = 80 ( 1 + 0.05 )²
x ( 2 ) = 80 ( 1.05 )²
x ( 2 ) = 80 x 1.1025
x ( 2 ) = 88.2 birds
Therefore , the value of A is 88 birds
Hence , the number of birds is 88 birds
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determine if the polygons are similar. If so, write a similarity statement and find the scale factor.
Answer:
the polygons are similar bc they both share the same angles and DF is equal to AB and EF is equal to AC and DE is equal to BC
At my birthday party, the girls ate 3 pizzas and the boys at 5 pizzas. How much more pizza did the boys eat than the girls?
Answer:
the answer is 2
Step-by-step explanation:
Answer: The boys ate 2 more pizza's than the girls.
Step-by-step explanation:
Girls = 3 pizzas
Boys = 5 pizzas
Now subtract them:
5 - 3 = 2
Three-quarters of the students that Maria surveyed stated that they liked to sleep in on Saturday morning. If 24 of the students said they liked to sleep in, how many students did Maria survey?
a- 15
b- 18
c- 32
d- 36
Answer:
I think it’s C
Step-by-step explanation:
if ABCD is a parallelogram then what is the measure of < A - <C
Answer:
The answer is 0.
Find the percent of discount for a $38,000 car that is on sale for $33,500. Answer to the nearest percent.
Answer:
i think its 12%
Step-by-step explanation:
Kaelyn has 14 coins that have a value if $1.20. she only had dimes and nickles. How many nickels does kaelyn have?
Answer:
24
Step-by-step explanation:
ae.
1) Which algae has a larger mass at 3 hours, in kilograms?
and
e е
A) The blue algae has 12 kg more mass at 3 hours.
B) The green algae has 12 kg more mass at 3 hours.
C) The blue algae has 36 kg more mass at 3 hours.
D) The green algae has 36 kg more mass at 3 hours.
Answer:
the blue green algae which is also the most success wishes one in the algae group for the elevator
The length of the diagonal of a square is 30square root 2 find the perimeter of the square
Answer:
120.
Step-by-step explanation:
Using the Pythagoras theorem:
(30√2)^2 = x^2 + x^2 where x =length of each side of the square
1800 = 2x^2
x^2 = 900
x = 30.
So the perimeter = 4*30 = 120.
A company packages pencil lead for mechanical pencils.
The pencil lead is packaged in lengths of 0.025 m. How
many of these shorter pieces can be cut from a strip of
pencil lead that is 2.4 m long?
Answer: 96
Step-by-step explanation:
From the question, we are informed that a pencil lead is packaged in lengths of 0.025 m. To get the number of the shorter pieces can be cut from a strip of pencil lead that is 2.4 m long, we have to divide 2.4 by 0.025. This will be:
= 2.4 / 0.025
= 96
Therefore, 96 shorter pencils can be gotten
Answer:
96
Step-by-step explanation:
(0v0) '
Write the equation that expresses the table below.
Answer:
y = 10x
Step-by-step explanation:
(2, 20)
(5, 50)
(7, 70)
From 2 to 5 we add 3 (x section)
From 20 to 50 we add 30 (y section)
We can do y/x = 30/3 = 10
The slope will be 10.
Hope this helped!
Have a supercalifragilisitcexpialidocious day!
______________________________
1.) Calculate the distance for each [tex]\bold{(x)}[/tex] value to [tex]\bold{(y)}[/tex]:[tex]20[/tex] ÷ [tex]2=10[/tex][tex]50[/tex] ÷ [tex]5=10[/tex][tex]70[/tex] ÷ [tex]7=10[/tex]- Now that we did that, you have to make it into a rule that makes sense, if we did [tex](y)[/tex] ÷ [tex](x)[/tex], the table would change. So to make it work you do the opposite of what we did to find the 10 value. This makes it multiplying [tex](x)[/tex] by 10.
So your answer is [tex]\bold{y=10x}[/tex].
______________________________
TIME REMAIN 56:07 What method can be used to write the equation of a line in slope-intercept form given two points? Find the slono uning
Step-by-step explanation:
1. Pick two points on the line and use them to find the slope.
2. Then, find the coordinates of the y-intercept.
3. The y- coordinate is the value of b in the equation.
Answer:
Step-by-step explanation:
First find the slope of the line.
If the 2 points are (x1, y1) and (x2, y2) then the slope is (y2-y1)/(x2-x1).
Then we can use the point-slope form of the equation of the line:
y - y1 = m(x - x1) where m = the slope and by substituting the point (x1, y1) we can convert the equation to slope intercept form ( which is y = mx + b).
Example:
Find slope-intercept equation for the line joining the points (1, 0) and (3, 4):
The slope = (4 - 0)/(3 - 1) = 4/2 = 2.
Now we plug in the slope m and the point (3, 4) into y - y1 = m(x - x1):
y - 4 = 2(x - 3) (Note we can use (1, 0) OR (3, 4) as they are both on line).
y - 4 = 2x - 6
y = 2x - 6 + 4
y = 2x - 2 which is slope-intercept form.
Write the equation of a line that is parallel to the line y=4x+2 and passes through the point (4,1)
Answer:
y = 4x-13
Step-by-step explanation:
The standard equation of the line is y = mx+c
m is the slope
c is the intercept
Given the equation y = 4x+2
The slope m = 4
Substitute m = 4 and the given point into the formula y = mx+c
1 = 4(4)+c
1 = 14+c
c = -13
Get the equation
Recall that y = mx+c
y = 4x + (-13)
y = 4x-13
Hence the required equation is y = 4x-13
Find the slope between:
(4,6)
(-1, -3)
Answer:
slope={-3-6}/(-1-4)=-9/-5=9/5
Answer:
slope is 3/5 very simple
A car is 160 inches long.
A truck is 7% longer than the car.
How long is the truck?
112 inches
171.2 inches
272 inches
167 inches
Answer:
Length of truck = 160 +7% of 160 = 160 +11.2 = 171.2inches
6.37x10^-2
Thanks to anyone who answers this.
Answer:
6.37 x 10^-2 =0.0637
Determine whether the relation is a function. Explain why or why not.
{(2, 5), (3, –5), (4, 5), (5, –5)}
A.
Yes; no value in the domain corresponds to more than one value of the range.
B.
No; the domain value 5 corresponds to two range values, 2 and 3.
C.
Yes; multiple domain values correspond to the same range value.
Answer:
A. Yes; no value in the domain corresponds to more than one value of the range.
Step-by-step explanation:
There is no domain value that corresponds to more than one range value.
If you graph the ordered pairs on a coordinate plane, you cannot draw a vertical line that passes through more than one point.
What is the slope of y=1x-3
Answer:
Slope=1
Step-by-step explanation:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Combine 13 1 3 and x x . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 13
can you guys help me ?? would really appreciate it :)
Answer:
1.25 and if you round that its 1
Answer:
Not propotinoal
propotional
Step-by-step explanation:
Thats all i can give you
Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 24 bags of leaves. How much money did he earn?
Answer:
Solution:
24 divided by 5 = 4.8
round 4.8 down to 4
10 times 4 = 40
Martin earned 40 dollars.
Step-by-step explanation:
Hope this helped!
Answer:
Martin earn $48
Step-by-step explanation:
24/5 = 4.8
4.8 x 10 = 48
So Martin earn $48
A donut shop made 61 donuts. They put frosting on 47 of the donuts. What is the ratio of the number of donuts without frosting to the total number of donuts?
Answer:
14:61
Step-by-step explanation:
Answer:
The answer is 14:61
Step-by-step explanation:
it can be written also as a fraction
Write an equation in the form y = mx + b to model the given representation.
Label ABC with the following information.
AB = 35
AC = 62
Find m/c.
Answer:
m<C = 34.4 °
Step-by-step explanation:
From the question given above, the following data were obtained:
Opposite = AB = 35
Hypothenus = AC = 62
Angle C =?
The value of m<C can be obtained by using sine ratio as illustrated below:
Sine C = Opposite /Hypothenus
Sine C = 35 / 62
Sine C = 0.5645
Take the inverse of sine
C = Sine¯¹ 0.5645
C = 34.4 °
Thus,
m<C = 34.4 °
PLS HELP WILL GIVE BRAINLIEST AND POINTS!! How many variable terms are in the expression 3x^3y + 5x^2 + y + 9?
Answer:
4 variables
Step-by-step explanation:
Hope you pass your test!
Cameron's hourly salary is $13. If Cameron
gets to work in the morning at 9 has lunch
from 12 to 1. and then works until 2. then hou
much did Cameron make that day?
Answer: 52 dollars
Step-by-step explanation:
Cameron's hourly salary is 13, which means that for each hour she works, she earns 13 dollars.
If she words from 9 - 12, then that is 3 hours. Then she has a lunch break from 12 - 1, and then works again until 2. The time period between 1 and 2 o'clock is 1 hour.
Now we have to add up the total hours that Cameron works. If she worked 3 hours in the morning, and then 1 hour after lunch, then the total is 4 hours. Now we have to mutliply 4 by 13 to find her salary for that day.
4 x 13 = 52. Therefore, Cameron made 52 dollars that day.
What is the value of 4+(-7)
Answer:
-3
Step-by-step explanation: