Answer:
One solution
Step-by-step explanation:
Well, let's find out by solving the equation for x and seeing how many possible values there are. Our answer could be no solution, one solution, or infinite solutions. So, let's get started by writing out our equation:
3(7x + 4 ) - 2x + 8 = 5x + 12
First, we'll distribute the 3 onto the values on the left:
3(7x) + 3(4) - 2x + 8 = 5x + 12
21x + 12 - 2x + 8 = 5x + 12
Now, we can combine like terms. They are underlined and boldfaced below:
21x + 12 - 2x + 8 = 5x + 12
21x - 2x + 12 + 8 = 5x + 12
19x + 20 = 5x + 12
Next, let's take away 5x from both sides:
19x - 5x + 20 = 5x - 5x + 12
14x + 20 = 12
Finally, we'll subtract 20 from both sides:
14x + 20 - 20 = 12 - 20
14x = -8
Now, all we have to do is divide both sides by 14.
14x/4 = -8/14
x = -4/7
It looks like there is only one solution for x: -4/7. Hopefully that's helpful!
The ages of two people add up to 25 and their ratio is 2: 3. What is the age of the younger person?
Answer:
10
Step-by-step explanation:
2 + 3 = 5
25/5 = 5
2 · 5 = 10
3 · 5 = 15
You are buying mouthwash at your local store. The price of the mouthwash is $4.39. It is currently on sale for 20% off. You also have a store coupon for $1.00 off and a manufacturer's coupon for $1.25 off. What is your subtotal?
Answer:5.68 dollars amirikan
Step-by-step explanation:
Given that price of the mouthwash is $4.39. It is currently on sale for 20% discount. You also have a store coupon for $1.00 off and a manufacturer's coupon for $1.25 off. The subtotal you need to pay is $1.262.
What is discount?The term discount refers to the amount or percentage deducted from the normal selling price of something. The discount means a reduction in the price of a good or service.
Discount = Marked price - Selling price
The mouthwash is at sale for 20% off.
Cost price = $4.39
Discount = 20% of $4.39 = $0.878
Total discount = 20% off + store coupon + manufacturer's coupon = $0.878 + $1.000 + $1.250 = $3.128
Selling price = Marked price - Discount = $4.39 - $3.128 = $1.262
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Both Alex and Chris left their homes at 7:00 a.m. and walked to school. The graph shows the distances that each boy was from school as they walked.
A graph titled Distance from school has minutes since leaving home on the x-axis, and miles from school on the y-axis. A line labeled Chris goes through points (0, 4) and (15, 3). A line labeled Alex goes through points (0, 2) and (25, 1).
Which statement is best supported by the graph?
Alex lives farther from the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.
Alex lives closer to the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.
Chris lives farther from the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.
Chris lives closer to the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.
Answer:
Chris lives farther from school than Alex lives, and Chris walks to school at a faster rate than Alex
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Marlee has to find the point that divides the line segment between the points P(-6, 10) and R(2, -4) exactly in half. Marlee states: "the answer is M(-2, 3). Since a midpoint divides a line segment into 2 equal parts, I used the midpoint formula." Is this a logical argument?
Please choose one of these choices.:
A. Yes; using the midpoint formula will determine the middle point of a line segment.
B. No; she should have used the distance formula.
C. No; she should have used the quadratic formula.
D. No; she should have used the slope-intercept formula y = mx + b.
Answer:
A.
Step-by-step explanation:
If you use the points P(-6,10) and R(2,-4) and put them it the midpoint formula you would get (-2,3) therefore it would be logical to use it
2+2 1,000,000,000+1,000,000,000
Answer:
22,000,000,002
Step-by-step explanation:
Hope it helps you
Answer:
Step-by-step explanation:
22,000,000,002
Which system of inequalities is shown?
a.y > x
y > 2
b. y > x
y < 2
c. y < x
y < 2
d. y < x
y > 2
y < x
y < 2
==================================================
Explanation:
The horizontal line is y = 2 since all points on this line have a y coordinate of 2. Eg: (0,2) and (5,2)
Since we shade everything below this line, we're describing the inequality y < 2. All points in the shaded region for this describe anything with a y coordinate smaller than 2. Eg: (7,1)
-------------
At the same time, we're also shading below the line y = x to form the inequality y < x.
So that's how we end up with this system
[tex]\begin{cases}y < x\\y < 2\\\end{cases}[/tex]
which describes the set of all points below the lines y = 2 and y = x. The dashed lines indicate that points on the boundary do not count as solution points. For example, (5,2) is not a solution because it rests on the upper horizontal boundary.
so i just added a similar question but the explanation was complicated so me and my mates need help with this one as well
Answer:
Y = -X + 9
Step-by-step explanation:
yeah-ya....... right?
It takes Martin 20 minutes to walk 5 laps around the school track what is the unit rate that Martin walk around the school track
Answer:
4 minutes per lap
Step-by-step explanation:
20/5 is 4
A beach ball has a radius of 3 inches calculate volume
Answer:
113.1 in.³
Step-by-step explanation:
V = (4/3)πr³
V = (4/3) × 3.14159 × (3 in.)³
V = 113.1 in.³
Line c passes through points (4, 8) and (1, 13). Line d is parallel to line c. What is the slope of line d?
How much change from a $100 bill would you receive if you bought 6 concert tickets at $15.99 each?
$95.94
$15.99
$4.06
$1.23
Answer:
$4.06
Step-by-step explanation:
What is the quotient of 1.155 x 10^5 and 1.65 x 102 expressed in scientific
notation?
Answer: 7.00x10^2
Step-by-step explanation:
Are you asking for the quotient of (1.155 x 10^5)/(1.65 x 10^2)?
If so, divide (1.155/1.65) = 0.7000.
Then subtract 2 (the bottom exponent from [tex]10^{2}[/tex]) from the top exponent: [tex]10^{5}[/tex] becomes [tex]10^{3}[/tex].
Combine the two: 0.7000x10^3
Move the decimal point to the right by one: 7.00x10^2 (to 3 sig figs).
7 x 10² is the quotient of 1.155 x 10⁵ and 1.65 x 10² expressed in scientific
notation.
To find the quotient of these two numbers in scientific notation, you divide the two significant figures and then subtract the exponents of 10. The calculation would be as follows:
(1.155 x 10⁵) / (1.65 x 10²)
Dividing the significant figures:
1.155 / 1.65
= 0.7
Subtracting the exponents:
5 - 2 = 3
So, the quotient in scientific notation is approximately:
0.7 x 10³
Which can also be written as:
7 x 10²
Hence, the quotient of 1.155 x 10⁵ and 1.65 x 10² expressed in scientific
notation is 7 x 10².
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An item is on sale for 30% What would the new cost be if the item was originally $275
Answer:
$192.5
Step-by-step explanation:
$275÷10=27.5
27.5×3=82.5
275-82.5=192.5
Please help me please help mee
I need help on 16 17 and 18
Answer:
Step-by-step explanation:
16. 6.9, or 69/10
17. D, 12 feet
18. 6 11/12
PLS HELP!!!!!
I WILL PUT BRAINLIEST!!!!!!
Which of these graphs represents a function?
Answer:
X
Step-by-step explanation:
Choose the steeper line.
y=1/2x-3
or
y=1/4x -8
Hello!
y=1/2x-3 is steeper than y=1/4x-8.
We calculate the slope using Rise/Run.
The rise is 1, and the run is 2 (how many units we move left of right)
If you graph these lines, you will see that the line y=1/2x-3 is steeper than y=1/4x-8
Hope this helps!
~Just a cheerful gal
Answered by
[tex]SilentNature[/tex]
Tangela bought 12 cans of sodas for $5.40
Answer:
324
Step-by-step explanation:
Answer:
0.45 for one can of soda
Step-by-step explanation:
If you want to know the price for one soda all you have to do is divde.
12 ÷ 5.40 = 0.45
So, one soda can is $0.45! Have a great day friend! :D
Lori decied to save up for a trip.She put $1120 of her saving into a bank account. If she earns 2% interest how much will have alotgether after
help pls
Answer:
$1,344 is her total.
Step-by-step explanation:
0.2 x 1120 = 240 + 1120
The sum of a two-digit number and the number obtained by reversing its digits is 121. Find the number if it’s unit place digit is 5.
Answer:
65+56=121
Let no. be t5
reverse will be 5t
t*10 + 5 + 5*10 + t = 11t + 55 = 121 => 11t = 66 => t = 6
So no. = 65
Step-by-step explanation:
Danny deposited $500 into a savings account that earns 2% interest annually. How much
money will he have after 25 years?
Answer:
250
Step-by-step explanation:
1 year= 2% of 500 (10)
25 years= 25*10
250
Hope this helps!
A diameter of a circle measures 58cm. What is the length of its radius
Answer:
29cm
Step-by-step explanation:
a radius is half of a diameter so half of 58cm is 29cm.
i hope this helps have a good day
What is the rate of 13 inches of snow in 8 hours?
Answer: 1.625 inches of snow per hour
Step-by-step explanation:
13 divided by 8 is 1.625
20
18. Find the values of x and y in the parallelogram PQRS.
vat
PT = 2x, TR = y +3, QT = 3x, TS = 2y
T
27
2x
Р
S
0
Answer:
Step-by-step explanation:
Find the coordinates of the point 1/3 of the way from A to B
Did I get this right originally? I think I did.
that’s what I thought first, but the things right. each x value IS associated with only one y value. If there was more than one arrow pointing from one x value, it wouldn’t be a function, because it would mean one x value has more than one y value. I hope that made sense!
PLZZZZ HELPPPP MEEEEEE
Answer:
13
Hope this helps, have a nice day/night! :D
If it helped, please mark as brainliest!
5x+2y=10
slope=________
y-intercept=_________
y=x
slope=________
y-intercept=_________
Answer:
A) -5/2 and 5
B) 1 and 0
Step-by-step explanation:
y=mx+b is the standard form: m is the slope and b is the y-intercept.
5x+2y=10
y = -(5/2)x + 5 [Rearrange to standard format]
slope__-5/2__
y-intercept__5___
===========
y=x
Slope = 1
Y-intercept = 0
Please help I think this is the wrong answer
Answer:
It is! The correct answer is -98/5 or -19.6
Step-by-step explanation:
An infant drinks about 30 ounces of milk per day. About how many quarts of milk does the baby drink in 4 weeks
Answer:
840 Ounces
Step-by-step explanation:
4 weeks has 28 days. { 4 * 7 = 28 }
because an infant eats about 30 ounces of milk per day.
So 30 * 28 = 840 ounces
The baby drank about 840 ounces in 4 weeks.
The number of quarts of milk drank by baby in 4 weeks is 26.25 quarts.
Given that, an infant drinks about 30 ounces of milk per day.
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
Here, number of days in 4 weeks = 4×7
= 28 days
Number of ounces of milk drank by infant
= 28×30
= 840 ounces
We know that, 32 ounces = 1 quarts
So, 840 ounces = 840/32
= 26.25 quarts
Therefore, the number of quarts of milk drank by baby in 4 weeks is 26.25 quarts.
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