Answer:
13<X<17
Step-by-step explanation:
Triangular Inequalities state that a side is always greater than the absolute value of the difference of the other two sides and less than the sum of the other two sides. You use the inequality |a-b|<c<a+b with a, b, and c as the lengths of the sides.
When you plug in the numbers, (X being c, 2 being b, and 15 being a) you get
|15-2|<X<15+2
|13|<X<17
Which brings us to our final answer of:
13<X<17
The graph below shows the amount of money Janet earned at her new job.
Janet's Earnings
у
80
70
60
50
Money Earned ($)
40
30
20
10
0
2 4 6 8 10 12 14 16
Hours Worked
How much does Janet earn per hour?
Answer:
b
Step-by-step explanation:
The amount of money Janet earns per hour is given by the slope of the line m = $ 7.50
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 4 , 30 )
Let the second point be Q ( 8 , 60 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = amount of money Janet earns per hour
So , slope m = ( 60 - 30 ) / ( 8 - 4 )
On simplifying , we get
The amount of money Janet earns per hour = 30/4
The amount of money Janet earns per hour = $ 7.50
Hence , the amount of money Janet earns = slope = $ 7.50
To learn more about equation of line click :
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The fastest doughnut machine can fry 9600 doughnuts per hour. Which is closest to the number
of doughnuts this machine can fry every second?
Answer:
9600/60 minutes = 9600/ 360 seconds = 26
Keep practicing :)
Step-by-step explanation:
Answer:
9.6
Step-by-step explanation:
The reason is because you divide this number by 1,000 which gives you 9.6
9600 divided by 1,000= 9.6
6m + 4n + 3m - 6
What are the terms? Separate them with a comma.
What is 11/9 as a decimal?
If paper clips are 7/8 of an inch long and cost $0.02 to make, how much would it cost to produce enough paper clips to make a line, end to end, that stretches 56 inches?
Answer:
$1.12
Step-by-step explanation:
When you multiply 8/7 of 56, you get 64.
This shows that you will need 64 paperclips to make 56 inches worth of paper clips. If each paper clip costs two cents, you need to multiply 56 paperclips by 2 cents. 56x0.02=1.12 so it will cost you 1 dollar and twelve cents
A grocery store sells cheese for $0.48 a pound. What would be the price for 6 pounds of cheese?
Answer:
$2.88
Step-by-step explanation:
0.48×6=2.88
os the right answer
Can you have say from us the aks place
Between which pair of numbers is the of exact product
379 and 8
Answer:
3032
Step-by-step explanation:
379 x 8 = 3032
use math, also box method
Calculate the area of the trapezoid.
12 mm
5 mm
9 mm
________square millimeters
Answer:
52.5 square millimeters.
Step-by-step explanation:
Area of a Trapezoid = (a+b/2)h
= (9+12/2)•5
=(21/2) • 5
= 10.5 • 5
= 52.5 square millimeters
hope this helps!
Answer:
52.5 mm^2 (square millimeters)
Step-by-step explanation:
Just split the figure into two sections to make a rectangle, and a right triangle (This whole figure can be thought of as a composite figure)
Once that is done, you will notice that the length and width of the rectangle is 9mm by 5mm, and the triangle is 3mm by 5mm (because 12mm - 9mm is 3 mm, and the height of the triangle is shared with the width of the rectangle).
The area of a triangle is 1/2(base×height) [just as a triangle is half of a rectangle], so the area of the rectangle is (length × width).
Therefore the 9mm by 5mm rectangle has an area of 9×5 mm = 45 mm^2, and the 3mm by 5mm triangle has an area of 1/2(5×3) = 15/2 = 7.5 mm^2.
Add both areas to find the total area:
45mm^2 + 7.5mm^2 = 52.5 mm^2.
____________________________
Or using the formula for the area of a trapezoid: A = h (b1 + b2) / 2
Where A is the area, b1 is the first base, b2 is the second base, and h is the height of the figure.
Given that our first base is 9, second base is 12, and our height is 5.
A = h ( b1 + b2 ) / 2 → A = 5 ( 9 + 12 ) / 2 → 5 ( 21 ) / 2 → 105 / 2 → 52.5
Then just put this quantity in mm^2 because it is the area of the figure in that unit.
→ 52.5 mm^2
_____________________________
Express 610.47 in unit form.
Answer:
6 hundreds
1 tens
0 ones
4 tenths
7 hundredths
How many hundredths are in one tenth how many thousandths are in one hundredth
Answer:
10 hundredths
Step-by-step explanation:
One-tenth equals 0.1 and one-hundredth equals 0.01, which means that hundredth equals 10 hundredths.
the martin family‘s truck gets an average of 25 miles per gallon. Predict how many miles they can drive using 7 gallons of gas.
Answer:
175
Step-by-step explanation:
7 times 25=175
grrrrrr please help i’ll give u a cookie :)
im only in 6th grade
Step-by-step explanation:
plz help im having a very hard time answering these questions
i will mark u as brainliest
STEP BY STEP EXPLANATION:
drops
An automatic teller machine gives you $150 in five and ten-dollar bills. There are two more than twice as many five-dollar bills as there are ten-dollar bills. How many of each denomination are there?
Answer:
There are 7 ten-dollar bills and 16 five-dollar bills.
Step-by-step explanation:
Let's call:
T: Number of ten-dollar bills
F: Number of five-dollar bills
The amount of money withdrawn from the ATM is $150:
10T+5F=150
Dividing by 5:
[tex]2T+F=30\qquad\qquad [1][/tex]
We also know there are two more than twice as many five-dollar bills as there are ten-dollar bills:
[tex]F=2+2T\qquad\qquad [2][/tex]
Substituting [2] into [1]:
2T+2T+2=30
Rearranging:
2T+2T=30-2
Simplifying:
4T=28
Solving:
T=28/4=7
From [2]:
F=2+2*7=2+14=16
There are 7 ten-dollar bills and 16 five-dollar bills.
insert 6A.M's between 15 and -13
Answer:
-13
Step-by-step explanation:
see if good
frst to answer this gets brainliest!!!!
1. 641 divided by 43
2. 4684 divided by 27
3. 6455 divided by 64
Answer:
1. 14.91
2. 173.48
3.100.86
Step-by-step explanation:
all the answers are rounded to the nearest hundredth place, i believe.
escribe el número igaul a 5 decenas y 13 unidades
Answer:
63
Step-by-step explanation:
When multiplying the factors 2/3 and 4/7 what is the product of the denominators
Answer:
21
Step-by-step explanation:
When multipling fractions you go straight across so, all you have to do in the furture is multiply the demonators, anyways all i had to was 3x7 which is 21. Hope this helps and have a wonderful day!
Answer:
21
Step-by-step explanation:
2/3+4/7= 8/21
the top number is the numerator and the bottom number is the denominator.
apply the distrubtive property to simply the expression -3(6x+ 2)
Answer: -18x-6
Step-by-step explanation:
You're just multiplying the number outside of the parenthesis (-3) by the coefficients (number by X) and the constants (numbers without a variable by them).
-3 x 6 = -18
-3 x 2 = -6
(+ -6 can be written as -6)
Eloise practiced piano for 25 of an hour. Sarah practiced piano for 34 of an hour.
How much longer did Sarah practice than Eloise?
Answer:
34 - 25 = 9
Step-by-step explanation:
10
-25 please answer
Answer:
(-15)
Step-by-step explanation:
10-25 = (-15)
Please follow me and mark as brainliest
The quadratic function modeling the height of a ball over time is symmetric about the line , where t is time in seconds. Which statement is true about this situation?
A.
The height of the ball is the same after 1 second and 3 seconds.
B.
The height of the ball is the same after 0 seconds and 4 seconds.
C.
The height of the ball is the same after 0.5 second and 5.5 seconds.
D.
The height of the ball is the same after 1.5 seconds and 3.5 seconds.
Answer:
A. The height of the ball is the same after 1 second and 3 seconds.
Step-by-step explanation:
The quadratic equation function modeling is used to analyze the relationship between variables in the equation. If the ball is at height and t is time then the ball is on symmetric line which will move for initial 1 second then stabilizes at 3 seconds.
Is 4.95 a terminating decimal
Answer:
Definitely
since the definition of a terminating decimal is one that has an ending, and a Repeating decimal is one that never ends.
Step-by-step explanation:
someone help me on 2 and 3 plssssss
Answer:
<MSDBEF
Step-by-step explanation:
vqswdhbjfknhbdncdsujhc,f,jfd.sjbdvkjzsfnvb;krjbsv
Factorise fully
10c + 25
Answer:
5(2c+5)
I hope this helps
Find the remainder when f(x) is divided by g(x) given that f(x) = 4x3 − 5x2 − 3x + 2 and g(x) = x − 3.
Given:
[tex]f(x)=4x^3-5x^2-3x+2[/tex]
[tex]g(x)=x-3[/tex]
To find:
The remainder when f(x) is divided by g(x).
Solution:
According to remainder theorem, if f(x) is divides by (x-c), then remainder is f(c).
Using remainder theorem, if [tex]f(x)=4x^3-5x^2-3x+2[/tex] is divides by [tex]g(x)=x-3[/tex], then remainder is f(3).
Substitute x=3 in f(x).
[tex]f(3)=4(3)^3-5(3)^2-3(3)+2[/tex]
[tex]f(3)=4(27)-5(9)-9+2[/tex]
[tex]f(3)=108-45-7[/tex]
[tex]f(3)=56[/tex]
Therefore, the required remainder is 56.
i cant find the answer to 2 1/4 times 1/6?.. can someone help a kid out
Answer:
0.375 or 3/8
Step-by-step explanation:
calculator :)
y=5x-7
-3-2x=12 for x
Answer:
4 2/3
lmk if this is correct or not
Step-by-step explanation:
5x-7-3-2x=12
5x-4-2x=12
3x-2=12
3x=14
14/3
x=4.666 or 4 and 2/3
A pharmaceutical sales representative gets paid $50,000 annually plus
3.5% commission on total sales. This year he sold $420,000 in
pharmaceuticals. What are his annual total earnings?
100% = $420,000
3.5% = 3.5/100 × 420,000
= $ 14,700
Commission he earned = $14,700
Annual total earnings= $50,000 + $14,700
= $ 64,700
Answer:
14,500
Step-by-step explanation: