Answer:
PT = 32
Step-by-step explanation:
From the question, we are told that:
T is the midpoint of PQ
This means:
PT = TQ
PT=3x+8 and TQ = 5x-8
Step 1
We solve for x
3x + 8 = 5x - 8
Collect like terms
8 + 8 = 5x - 3x
16 = 2x
x = 16/2
x = 8
Step 2
We can solve for PT now
PT=3x+8
x = 8
PT = 3×8 + 8
PT = 24 + 8
PT = 32
Therefore, PT = 32
What is the maximum number of rectangular blocks measuring 2 by 3 by 4 that can
fit into a box measuring 12 by 21 by 40?
Volume of small box :
[tex]v=l\times b\times h\\\\v=2\times 3\times 4\\\\v=24\ units^3[/tex]
Volume of big box :
[tex]V=L\times B\times H\\\\V=12\times 21\times 40\\\\V=10080\ units^3[/tex]
Number of small boxes that can fit into bigger box :
[tex]n=\dfrac{V}{v}\\\\n=\dfrac{10080}{24}\\\\n=420[/tex]
Therefore , 420 such boxes can fit .
Hence , this is the required solution .
they were 42 mangoes in each crate. 12 such crates of mangoes were delivered to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many boxes of mangoes were there?
Answer: 50
Step-by-step explanation: 42x12=504. 504-4=500. 500/10=50.
Read the ruler in millimeters to the correct degree of precision (The ruler is in between the halfmark and the sixth mark on the ruler between 3 and 4)
Answer:
3 1/2
Step-by-step explanation:
if the whole numbers are added the sum would be
113.5+22.41
PLASE HELPpp it’s due before midnight. change to scientific notation
Q1: 9.6 x 10'7 =
Q2: 2 x 10'-6 =
Answer: Q1: 9.6e7
Q2: 2e-6
Step-by-step explanation: All you do is pretend the 10 insent their and and the e between the first set of numbers and the second number on the second set of numbers. Hope this helped!!!
Help please!!! Thank you
Answer:
multiply 45×20×15
Step-by-step explanation:
you can use calculator
Parker signed up for a streaming music service that costs $6 per month. The service
allows Parker to listen to unlimited music, but if he wants to download songs for
offline listening, the service charges $0.50 per song. How much total money would
Parker have to pay in a month in which he downloaded 50 songs? How much would
he have to pay if he downloaded s songs?
Answer:
Parker will have to pay $31 in a month in which he downloaded 50 songs.
Total amount Parker will pay for s songs = 6 + 0.50s
Step-by-step explanation:
Cost per month = $6
Cost of Offline download = $0.50 per song
A. How much total money would
Parker have to pay in a month in which he downloaded 50 songs?
Total amount Parker will pay = $6 + $0.50(50)
= 6 + 25
= $31
Parker will have to pay $31 in a month in which he downloaded 50 songs.
B. How much would
he have to pay if he downloaded s songs?
Total amount Parker will pay for s songs = $6 + $0.50 * s
= $6 + $0.50s
Total amount Parker will pay for s songs = 6 + 0.50s
PLEASE HELP! oooooo
Answer:
The missing value is 41.
Step-by-step explanation:
If r= 3c+5 you plug in the 12, which is c, and the equation becomes r= 3x12+5. 3x12= 36, and 36+5= 41.
Answer:
41
Step-by-step explanation:
because 1=3 so 12=41
hope that helped!
-(-9.8f+7) please help
Answer:
[tex] \frac{7}{5} (7f - 5)[/tex]
Answer:
-9.8f - 7
Explanation:
You distribute the negative to the 9.8f to make it -9.8f, and the 7 to make it -7.
(-9.8f + (-7)) = -9.8f - 7
what is the value of k?
Answer:
k = 10
Step-by-step explanation:
∡ZYX = 180° - 115° = 65° (angles in a line add up to 180°)
*∡ stands for angle.
∑ of ∡Z , Y and X should be equal to 180° (angles in a triangle add up to 180°)
∴ (4k + 5)° + 65° + (6k + 10)° = 180°
10k + 80 = 180
10k = 100
k = 100 ÷ 10 = 10
Esha's class recorded the outside temperature at 9:00 am. every day for two weeks. they make a line plot to show the data. how many marks should be above the 76 on the scale?
Answer:
Step-by-step explanation:
5
if 17% of a certian num mber of mangoes is egual to 1360 then find total number of mangoesf
Answer:
If you're trying to find the whole number from a percentage of the number, divide the number by its percent: 1360/17%= 8000. The total number of mangoes is 8000.
Step-by-step explanation:
Answer:
[tex]\boxed{\bold{\huge{\boxed{\sf x = 8000 \ mangoes}}}}[/tex]
Step-by-step explanation:
Let the number be x
The given condition is:
=> 17 % of x = 1360
=> [tex]\sf \frac{17}{100} * x = 1360[/tex]
Multiplying both sides by [tex]\frac{100}{17}[/tex]
=> [tex]\sf x = \frac{136000}{17}[/tex]
=> x = 8000
So, total number of mangoes is 8000.
A table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided.
input 1 2 3 4 n
output 11 14 17 20
X-5(x-1)=x-(2x-3) what does it equal
Answer:
[tex]x = \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]x - 5(x - 1) = x - (2x - 3) \\ x - 5x + 5 = x - 2x + 3 \\ x - 5x + 2x - x= 3 - 5 \\ - 3x = - 2[/tex]
Divide both sides of the equation by -3
[tex] \frac{ - 3x}{ - 3} = \frac{ - 2}{ - 3} \\ x = \frac{2}{3} [/tex]
a rectangle with sides of length n+2 and n is compared to a square with sides of length n+1 are the two shapes equal in perimeter?
Answer:
yes
Step-by-step explanation:
Both of the figures have the same perimeter (4n + 4) hence equal in perimeter,
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the perimeter of a rectangle is 2(length + width) and the perimeter of a square is 4×side.
Given, A rectangle with sides of length n+2 and n.
∴ Perimeter = 2((n + 2) + n)
= 2(2n + 2).
= 4n + 4.
Also given, A square with sides of length n + 1.
∴ Perimeter = 4(n + 1).
= 4n + 4.
So, yes the two shapes are equal in the perimeter.
learn more about rectangles here :
https://brainly.com/question/6465134
#SPJ2
While on vacation, you rent a bicycle. You pay $9 for each hour you use it. It costs $5 to rent a helmet while you use the bicycle.
Answer:
[tex]Rental\ Cost = 9 n + 5[/tex]
Step-by-step explanation:
Question is incomplete; See Attachment
Required
Complete the table
To complete the table, we simply substitute n for 1,2 or 3
So: The rental cost, when the hours is n is as follows;
[tex]Rental\ Cost = 9 * n + 5[/tex]
[tex]Rental\ Cost = 9 n + 5[/tex]
Pls help ASAP just number 11 and show work
Answer:
Length of route that passes the mall= 11 miles
Length of route that passes the theater= 13 miles
Step-by-step explanation:
route to school that passes the mall (highlighted in red)
= (x +1) +(x +2)
= 2x +3
route to school that passes the theater (in yellow)
= (2x +1) +x
= 3x +1
Since the first is 2 miles shorter,
2x +3= 3x +1 -2
Simplify:
2x +3= 3x -1
Bring constants to 1 side, x terms to the other:
3x -2x= 3 +1
x= 4
Substitute x=4 to find the length of each route:
Length of the route that passes the mall
= 2x +3
= 2(4) +3
= 8 +3
= 11 miles
Length of route that passes the theater
= 3x +1
= 3(4) +1
= 12 +1
= 13 miles
Alternatively, length of route that passes the theater
= 11 +2= 13 miles since it is 2 miles longer than that which passes the mall.
Khloe drove 204 miles in 4 hours. If she continued at the same rate, how long would
it take to travel 765 miles?
Answer:
15 hrs.
Step-by-step explanation:
204/4 = 51 miles per hrour
765/51 = 15 hrs.
Answer:
15
Step-by-step explanation:
I ad this on my hw last week got it right
Solve the equation for the variable specified. df + 10h = 3 Solve for d. A. d 3= 10h f B. d. 3- 10h f C. d = 3 - 102 D. d = f(3 – 10h)
Answer:
Step-by-step explanation:
d= (3-10h)/f
∆PQR has vertices P(5, –2), Q(1, –4), and R(3,3).Reflect ∆PQR about the y-axis, translate 4 units down, and reflect about the x-axis.
Answer:
P(-5,6) Q(-1,8) R(-3,1)
Your temperature is 99 degrees during first period. By 7th period,your temperature is 102 degrees. How many degrees did your temperature change? Should you be at school.?
Given :
Temperature at first period , [tex]T_1=99^oF[/tex] .
Temperature at seventh period , [tex]T_7=102^oF[/tex] .
To Find :
The change in temperature .
Solution :
We know , change in temperature is given by the difference between final and initial temperature .
[tex]\Delta T=T_7-T_1\\\\\Delta=(102-99)^oF\\\\\Delta=3^oF[/tex]
So ,the change in temperature is [tex]3^oF[/tex] .
Now , the average body temperature of human body is [tex]98.6^oF[/tex] and [tex]100.4^oF[/tex] is considered a fever .
Therefore , we should not be in school and take rest .
Hence , this is the required solution .
I really don't get it plz help
Answer:
Step-by-step explanation:
Change g(n) to y
y = 2n - 2
2y - 2 = n
2y = n + 2
y = (n + 2)/2
g^-1(n) = 1/2n + 1
solution is B
Solve for n 19 + 10n = 7n - 20
Answer:
n = -13
Step-by-step explanation:
19 + 10n = 7n - 20
Subtract 7n from each side
19 + 10n-7n = 7n-7n - 20
19+3n = -20
Subtract 19 from each side
19+3n -19 = -20-19
3n = -39
Divide each side by 3
3n/3 = -39/3
n = -13
3(4x-1) greater than or equal to 2(4-x)
Answer:
Greater than
Step-by-step explanation:
First, I solved the expressions.
3(4x-1)=12x-3
2(4-x)=8-2x
12x-3>8-2x
As we can see, 12x-3 is greater than 8-2x.
Step-by-step explanation:
12x - 3 (expand 3(4x-1))
8-2x (expand 2(4-x))
if you assume that x=1 then 12x-3 would be 12(1)-3 then it would be 9 for the first
for the second equation, 8-2x, it would be 8- 2(1) or 6
9>6 so, 3(4x-1) > 2(4-x)
160+3x=195-2x what is the answer
Answer:
x = 7
Step-by-step explanation:
160+3x=195-2x
Add 2x to each side
160+3x+2x=195-2x+2x
160 +5x = 195
Subtract 160 from each side
160+5x-160 = 195-160
5x = 35
Divide by 5
5x/5 = 35/5
x = 7
6)
You and your family attend your brother's championship baseball game. Between innings you decide to go to the snack stand. You
go to the snack stand with $15 and find that sodas are $2.50 and that popcorn is $3.75. Write an inequality that models the
number of sodas you can buy if you get a bag of popcorn too. What is the maximum number of sodas you can buy in this situation?
Math
Answer:
..2.50x + 3.75x = 15..
Step-by-step explanation:
i think
10(-8f +1) – 8(6 f – 4)
Answer:
2(- 64f + 21)
Step-by-step explanation:
10(-8f+1)-8(6f-4)
-80f+10-48f+32
-80f-48f+10+32
-128f+42
hope it helps!
Find an equation in slope-intercept form of the line that has slope –9 and passes through point A(-9, - 1).
a. y = -9x - 82
c. y = -9x + 82
b. y = 82x-9
d. y = 9x-82
Answer:
Step-by-step explanation:
y + 1 = -9(x + 9)
y + 1 = -9x - 81
y = -9x - 82
answer is A
Which table has a constant of proportionality between y and x of 8/5
Answer:
Table 1
Step-by-step explanation:
Constant of proportionality is simply the ratio of y to x. In each of the given tables, the second column is y and the first is x.
Table 1:
4 32/5
10 16
11 88/5
Let's find the constant of proportionality for each row:
R1: (32/5) / 4 = 8/5
R2: 16/10 = 8/5
R3: (88/5) / 11 = 8/5
Thus, since this matches the requirements and all three rows have the same constant, Table 1 is the answer.
If you check the other two tables in the same way, you'll see that neither has a constant of proportionality of 8/5.
Hope this helps!
Answer:
Table 1
Step-by-step explanation:
I just did it on Khan Academy
HELPP me please? It’s due today
Answer: same-side interior angles
Step-by-step explanation:
Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines.