Which can be represented by the expression 14 – 3(a + 7)?
Answer:
Simplifed is -3a-7
Step-by-step explanation:
14 – 3(a + 7)
Solve it out-
[tex]-3(a+7)+14\\-3(a) -3(7) \\-3a-21+14\\\\=-3a-7[/tex]
PLEASE HELP! :)
A restaurant owner was experimenting with the taste of her homestyle lemon
drink. She started with 60 litres of water. She removed 15 litres of the water and
replaced it with 15 litres of pure lemon juice.
After thoroughly stirring the new mixture, she discovered that it was too
“lemony”. So she removed 10 litres of the new mixture and replaced it with 10
litres of water. She thoroughly stirred the mixture and concluded that the new
mixture was just right.
Determine the ratio of pure lemon juice to water in the final 60 litre mixture.
Answer:
Lemon juice / water = 12,5 / 47,5 or 26,31 %
Step-by-step explanation:
First step:
We got 60 liters. of water and we replace 15 liters. of water and add 15 liters of lemon juice, then our mixture is:
60 lts. of mixture ⇒ with 45 lts. is water and 15 lts. is lemon juice
The proportion of the mixture
each liter of the mixture is 0,75 lts. of water and 0,25 of lemon juice
2 step
Removing 10 lts. of mixture implies
10 lts of mixture means 7,5 lts. of water and 2,5 lts. of lemon juice
then we have
50 lts. of mixture with (45 - 7,5 = 37,5 lts.) of water and (15 - 2,5 = 12,5 ) lts. of lemon juice
third step
Addind 10 lts. of water:
60 lts. of mixture with ( 37,5 + 10 = 47,5) lts. of water and 12,5 lts. of lemon juice
Final mixture is
60 lts. of mixture with 47,5 lts. of water and 12,5 lts. of lemon juice
Proportion
Lemon juice / water = 12,5 / 47,5 or 26,32 %
Combine like terms 2/3(24k-6)-2k
Answer: It may be 14k - 4
Step-by-step explanation:
Problem 2: The perimeter of the UNC Chapel Hill basketball court is 100 meters and the
length is 16 meters more than the width. What are the dimensions?
Given parameters:
Perimeter of the court = 100m
Unknown:
Dimensions = ?
Solution:
let the width = w
Length is 16m more;
Length = w + 16
Perimeter = 2(L + w)
100 = 2 (w + 16 + w)
100 = 2(2w + 16)
100 = 4w + 32
4w = 100 -32
4w = 68
w = 17
So, length = w + 16 = 17 + 16 = 33m
The dimensions of the court are length 33m and width 17m
The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t) = 2,280 – 60t can be used to represent their distance, in miles, from home after t hours of driving.
What is the value of D(15)?
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[tex]D(t) = 2280 - 60t[/tex]
[tex]D(15) = 2280 - 60(15)[/tex]
[tex]D(15) = 2280 - 800[/tex]
[tex]D(15) = 1480[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
1380
Step-by-step explanation:
d(t)=2280-60t
d(15)=2280-60(15)
2280-900
=1380
Solve 5x3 – 23x2 + 29x – 15 = 0.
Answer:
its b
Step-by-step explanation:
Answer:
{x = 3, x = 4/5 + i(3/5), x = 4/5 - i(3/5)}
So B
8th grade easy math please help
Answer:
m ≤ - 3
Step-by-step explanation:
Given
- 24 - 6m ≥ 4(m + 1) + 2 ← distribute parenthesis and simplify
- 24 - 6m ≥ 4m + 4 + 2
- 24 - 6m ≥ 4m + 6 ( subtract 4m from both sides )
- 24 - 10m ≥ 6 ( add 24 to both sides )
- 10m ≥ 30
Divide both sides by - 10, reversing the symbol as a result of dividing by a negative quantity.
m ≤ - 3
Answer:
uhhhhhh
m ≤ - 3
The positive square root of 60 is not an integer. Which whole number does the value 60 lie closest to?
Answer: 6 and 7
Step-by-step explanation:
The heights of 200 adults were recorded and divided into two categories.
6' or over
Under 6
Male
14
88
Female
2
Which two-way frequency table correctly shows the marginal freq
*10 points & it’s due soon*
What is the distance between the points (82) and (7, 6) ?
A 4.1
D 17
23
D) 289
In order for s//t which pairs of angles must be congruent
Answer:
her you go
Step-by-step explanation:
What’s 5x+4y-2x-y simplified
Answer:
Step-by-step explanation:
Solving like terms
3x + 3y
Both have 3 in common so
3(x + y)
2/3r+4/3p-1/3p=
please helpppp
Answer:
2/3r + p
Step-by-step explanation:
2/3r + 4/3p - 1/3p
combine like terms, terms with like coefficients can be combined, terms that do not have like coefficients cannot be combined
coefficient- the variable that a number is multiplied by
2/3r + 4/3p - 1/3p
combine
2/3r + 3/3p
or
2/3r + p
I don’t know how to solve it please help
Answer:
when x=0 then f(x) = -2
when x=1 then f(x) = 3
when x=2 then f(x) = 8
Step-by-step explanation:
you just plug in the x value given to you into the equation (which is 5x-2) so for example:
if x = 0 then:
5x-2 is instead 5(0)-2 which means you multiply 5 and 0 and then substract 2 because you have to follow PEMDAS
PEMDAS is (Parenthesis, Exponents, Multiplication, Division, Addition, Substraction) which is the order of priority to be solved, so you first solve parenthesis, then exponents, then you multiply or divide, and then you add or substract
easy way to remember PEMDAS: Please Excuse My Dear Aunt Sally, OR Please End My Depression And Suffering (my favorite way to remember, don't take that seriously tho >_>)
so because you have to multiply before subtracting you multiply 5 and 0, you get 0, and then you take away 2 which is -2
remember to just plug in your values and then do PEMDAS
hope you learned something :P
please answer this for me x+y=y +x
Answer:
Hi there!
That is an example of the commutative property of addition! It states that changing the order of addends does not change the sum.
Hope this helps
What is the next step in solving the equation 10x+5 = -4x+47 for x after we have combined x variables to one side of the equation?
a. Once x variables have been combined we need to combine non-x variables by moving them to the other side of the equal sign.
b. Once x variables have been combined we need to divide the remaining numbers by our new x variable from combining it in step 1.
c. Since we have combined the x variables together we have completed the necessary steps to solve the equation and have the answer.
d. The problem cannot be solved for x.
Answer: A) Once x variables have been combined we need to combine non-x variables by moving them to the other side of the equal sign
!!!!!!!!!!!!!!!!!!!!!
UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound.
How many pounds, p, will it take for UPS and FedEx to cost the same? What is the cost? Write and solve an equation to show your work.
Answer:19.5
Step-by-step explanation:
7+7=14
14+0.20=14.2
14.2+5=19.2
19.2+0.30=19.5
Your answer is:19.5
Which one of thses is a function cuz IONO!!!
how long will it take a ball to roll 10 meters along the floor at a velocity of 0.5 m/s
Please helppp
If P(A) = 0.7 P(B) = 0.6 and A and B are independent event, find P(A and B)
Answer:
0.42
Step-by-step explanation:
multiply .6 by .7
An object is about 5 times the distance Earth is from the Sun. Earth is about miles from the Sun. About how far is the object from the Sun?
Answer:
5(miles from the sun)=how far an object is. 92.831 million mi is the distance from earth to the sun. You multiply this by 5 and you should get your answer
Step-by-step explanation:
I NEED HELP PLEASE HELP ME IF YOU CAN
Answer:
IF=HF
Step-by-step explanation:
If you look at them they are equidistant
Answer:
IF=HF
Step-by-step explanation:
Help answer this with steps!
Solve for X
X/2≥−4
A. x≥−8
B.x≤−2
C.x≤−8
D.x≥−2
An lift holds no more than 1200 pounds if you are rolling a cart that weighs 760 pounds how much more can the elevator hold?
Answer: 440
1200 - 760 = 440
Answer: 440 pounds
Step-by-step explanation:
The vertices of a figure are FC -9,- 9),G-3, -6),H(-3,-9). Find the coordinates of the image after a dilation with a scale factor of 2 3 and then a translation 6 units up.
Transformation involves changing the size and position of a figure.
The new coordinates of the figure is:
[tex]\mathbf{F" = (-6,0)}[/tex]
[tex]\mathbf{G" = (2,2)}[/tex]
[tex]\mathbf{H" = (-2,0)}[/tex]
The coordinates are given as:
[tex]\mathbf{F = (-9,-9)}[/tex]
[tex]\mathbf{G = (3,-6)}[/tex]
[tex]\mathbf{H = (-3,-9)}[/tex]
When the figure is dilated by 2/3, the new coordinates are:'
[tex]\mathbf{F' =\frac 23 \times (-9,-9) = (-6,-6)}[/tex]
[tex]\mathbf{G' =\frac 23 \times (3,-6) = (2,-4)}[/tex]
[tex]\mathbf{H' =\frac 23 \times (-3,-9) = (-2,-6)}[/tex]
When the figure is further translated up by 6 units, the new coordinates are:
[tex]\mathbf{F" = (-6,-6 + 6) = (-6,0)}[/tex]
[tex]\mathbf{G" = (2,-4 + 6) = (2,2)}[/tex]
[tex]\mathbf{H" = (-2,-6 + 6) = (-2,0)}[/tex]
Hence, the new coordinates are:
[tex]\mathbf{F" = (-6,0)}[/tex]
[tex]\mathbf{G" = (2,2)}[/tex]
[tex]\mathbf{H" = (-2,0)}[/tex]
Read more about transformation at:
https://brainly.com/question/11707700
Answer:
F is (-6,0) and G is (-2,2) and H is (-2,0) I'm only putting my answer too because the other person said 2,2 and its -2,2
Step-by-step explanation:
answer asap will make brainliest
Tim is 3 years older than his sister. Five years ago the sum of their ages was
19. How old is Tim now?
please include equation
Answer:
Step-by-step explanation:
If Tim is 3 years older and five years ago, the sum of their ages is nineteen you need to find two addends that are 3 greater than each other.
So, 11+8 = 19
Five years ago Tim was 11 and his sister was 8.
add 5 to 11 = 16
Tim is 16 now
I don't know the equation though sorry
Hope this helps you :)
On a horizontal number line, -7 is located to the right of -10.
What is the slope of the line that passes through the points (0, –7) and (–4, 3)?
-5/2 is the slope of thosr points
