9514 1404 393
Answer:
x = 22
Step-by-step explanation:
When lines l and m are parallel, the marked angles are supplementary.
(2x -3)° +(6x +7)° = 180°
8x +4 = 180 . . . . . . . . . . . divide by °, collect terms
8x = 176 . . . . . . . . . . subtract 4
x = 22 . . . . . . . . divide by 8
Mike's car holds 14 2/5 g of gas, averages 20mpg. About how far can Mike's travel if his tank is 1/4 full?
Solution :
It is given that :
The car of Mike's can hold = [tex]$14 \frac{2}{5}$[/tex] g of gas.
[tex]$=\frac{72}{5}$[/tex] g of gas
∴ [tex]$=\frac{1}{4} $[/tex] th of [tex]$\frac{72}{5}$[/tex] g of gas is [tex]$=\frac{1}{4} \times \frac{72}{5}$[/tex]
[tex]$=\frac{18}{5}$[/tex] g of gas
The average distance that the car can travel when the tank is full is = 20 mpg
∴ In [tex]$\frac{72}{5}$[/tex] g of gas, the car travels = 20 mpg
In 1 g of gas, the car travels = [tex]$20 \times \frac{5}{72} $[/tex] mpg
So in [tex]$\frac{18}{5}$[/tex] g of gas, the car travels = [tex]$20 \times \frac{5}{72} \times \frac{18}{5} $[/tex] mpg
= 5 mpg
the city of luckett is pilling rock salt for use during ice storms. if the pile from last year is 29 feet high and 14 feet are added this year, how high is the pile of rock salt?
29 + 14 = 43
The pile of rock salt is 43 feet high
help me guysssssssssssssssss :D
Answer:
Slope=3
Step-by-step explanation:
m=y2-y1/x2-x1
m=19-10/6-3
m=3
Answer: The answer is C which is "m = 3"
Step-by-step explanation: To find the slope, the formula is change of y / change of x. The change of y in the graph is 9, and the change of x is 3. 9 divided by 3 is 3. Therefore, the option "m=3" is the correct answer.
Having some struggles
Answer:
I think it's 399
___
500
I hope it's well help you
Answer:
the answer is 149/500 :D hope this will help u
Find the measure of the indicated angle to the nearest degree.
PLS URGENT HELP
Mia ran 10 laps in 6 minutes. Shawna ran 5 laps in 4 minutes.
Which person ran at a faster rate? Use mathematics to justify your answer.
Answer:
mia
Step-by-step explanation:
mia: 10/6 per minute
shawn: 5/4 per minute
common denominator is 12, multiply by 2 and 3
20/12 lap per minute mia
15/12 laps per minute shawn
20 > 15
The height of 5 boys is 5.4 ft, 6.12 ft., 7.02 ft. 4.9 ft, and 6.25 ft. What is the average
height of these 5 boys?
What are the operation to solve the problem?
pls answer
Wll not just this question, but whenever you need to find average, you have to:
Wait, for example let's take ur question:
1st step we will add up all the values aka heights:
5.4+6.12+7.02+4.9+6.25=29.69
And then how many values did you take???
Its, 5 values
1st value= 5.4
2nd value=6.12
aaand so on....
However, then we will have to divide the sum by no.of values
29.69÷5=5.938
Aaand this is your FINAL ANSWER
Done!!!!
Hope I helped you!!!
Step-by-step explanation:
For the average height of fhe boys:
[tex] \frac{5.4ft + 6.12ft + 7.02ft + 4.9ft + 6.25ft}{5} \\ = 5.938 \: ft[/tex]
In solving for the average height, we used addition and division operations.
PLS HELPPPP I NEED THIS GRADE PLSSSSS...The length of yarn needed to knit one hat is half the length of yarn that is needed to knit a scarf. It takes three times as much yarn to knit a
child's sweater as it does to knit one hat.
a. If It takes 400 yards of yarn to knit a scarf, how much yarn is needed to knit a child's sweater? Use tape diagrams and equations to solve
the problem. Use paper to show your work. Let h represent the number of yards of yarn needed to knit a hat.
It will take yards of yarn to knit a child's sweater.
b. How many total yards of yarn will be needed to knit a hat, a scarf, and a child's sweater?
It will take yards of yarn to knit a hat, a scarf, and a child's sweater
Answer:
A: 2,400 yards is needed for the child's sweater
you would take 400*2 to get the amount of yarn for the hat (800)take 800 (value of the hat) * 3 (the sweater uses three times as much yarn than the hat) = 2,400.B: HAT: 800 yards
SCARF: 400 yards
SWEATER: 2,400 yards
we already have all of the values present from the first part of the problem, so we would just plug those in for the correct thing.Step-by-step explanation:
i really hope this helped! if it did please give me brainliest.
Aubrey's dinner cost $85 She tips the waitstaff 30%, percent for excellent service.
Answer:
She tipped $25.50 and paid a total of $110.50
Step-by-step explanation:
hope this helps you out
please help asap!!!!
Answer:
The area is 60. Thats all I know TwT
Step-by-step explanation:
the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room
Answer:
Given :-the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room
To Find :-Length and breadth
Answer :-Let the length and breadth be l + 2 and l
Now,
[tex] \large \sf \: Area = l + 2 \times l [/tex]
[tex] \large \sf \: 63 = l + 2 \times \: l[/tex]
[tex] \large \sf \: 63 = 2l + {l}^{2} [/tex]
[tex] \large \sf \: {l}^{2} + 2l - 63 = 0[/tex]
[tex] \large \sf \: {l}^{2} (9l - 7l) - 63 = 0[/tex]
[tex] \large \sf \: l(l + 9) - 7(l + 9)[/tex]
Either
[tex] \large \sf \: l = - 9[/tex]
or,
[tex] \large \sf \: l = 7[/tex]
Length can't be negative,
So,
L = 9
B = 7
Please mark as brainliest :)
Pls help me ASAP pls
Evaluate the expression. 6(3+5)/4
Answer:
12
Step-by-step explanation:
6(3+5)/4 add number inside parentheses
6(8)/4 multiply 6 and 8
48/4 divide
12
Hope this helped you!
The mayor of Chicago is known for being a great host, and he puts a lot of time into preparing for events. For the mayor's next event, he has ordered 100 dinner plates. Each plate is 12 inches in diameter, with gold trim along the edge. How much gold trim is needed in total to prepare the plates? Use 3.14 for pi.
A) 4748 inches
B) 3784 inches
C) 2894 inches
D) 3768 inches
Answer:
D) 3768 inches
Step-by-step explanation:
Given,
No. of plates = 100
Diameter of each plate = 12inches
So, radius of each plate = 12 / 2 = 6 inches
So, circumference of each plate
[tex] = 2\pi \: r[/tex]
= 2 × 3.14 × 6 inches
= 37.68 inches
Hence, circumference of 100 plates = 100 × 37.68 inches
= 3768 inches
Hence, 3768 inches of gold trim is required (Ans)
Use the Distributive Property to rewrite the algebraic expression. 9(3p + 6)
wrong answers reported
Answer:
27p+54
Step-by-step explanation:
Multiply 9 to all the numbers inside the parenthesis!
Hope this helps! :)
triangle ABC is isosceles with AB=AC and angle A=50°. the bisector of angle B and angle C meet at D. find the measure of BDC
Answer:
115 degrees
Step-by-step explanation:
From what I'm visualizing, D is a point of another isosceles triangle within ABC, so to find the measure of angle BDC, we have to find the other angles first.
First, we have to find angle B and C. since this is an isosceles triangle and AB=AC, these two angles are equal and we find their angle measure by subtracting the known angle A, from the total measure of all angles in a triangle, 180
180 - 50 = 130
then divide that by two to get the two equal angles
130/2 - 65
angle bisector divides the angles in half so the measures of CBD and BCD are 65/2
that leaves the last remaining angle BDC. Again, we take the known angles and subtract them from 180
180 - 65/2 -65/2 = 115
7.1 as a percentage
Answer:
its 710%
Step-by-step explanation:
710% hope it helps!
Amjed has 223 cards in his trading card collection. Latif has
8.741 cards in his trading card collection. Using the orders of
magnitude, about how many times more trading cards does Latif
have than Amjed?
Answer:
The orders of magnitude are numbers of the form:
10^n
where n can be any integer number.
So we can write something like:
"A is n orders of magnitude above B
Now we have the quantities:
Amjed cards = 223
Latif cards = 8741
We want to find how many times more trading cards does Latif have than Amjed.
Then we need to look at the quotient between the number of cards of Latif and Amjed.
8741/223 = 39.2
Now we need to approximate this to the nearest 10^n number.
(..., 0.1, 1, 10, 100, 1000, ...)
The nearest one to 39.2 is 10.
So we can say that Latif's collection is 10.
and 10 = 10^1
then n = 1
Then we can say that Latif's collection is one order of magnitude above Amjed's collection.
retail price= $120
markup percent= 40%
what is the original cost
Multiplying positive and negative fractions how do you do it
Answer:
I GOTCHU BAEE
Step-by-step explanation:
its just like regular negative numbers
but with fractions
see:
-7/12 x 1/2 = -7/24
negative negates the negative
negative negates the positive
positive keeps the positive positive
Find the constant of proportionality that creates a direct proportion between x and y,
Constant of Proportionality
Answer:
y=x
Step-by-step explanation:
Something that would create a direct proportionality is y=x because both of them are in an equation which means they are directly proportional
Delia takes out a loan to buy a car for $18,000 with an interest rate of 6.5%. The amount of interest Delia will have to pay is $4,680. Write and solve an equation to determine the number of months her loan is for. Show all of your work and explain how you got your number of months.
Answer:
Delia pays $4,680 in 4 months
Step-by-step explanation:
Equation:
18,000 * 6.5% = 1170
4680 ÷ 4 = 1170
So, the answer is 4 months this is the equation.
Hope this helps! :)
is 1/2 ÷ 2 is greater than 1 or less than 1.
Answer:
0.25
Step-by-step explanation:
1/2÷ 2 is less than 1
Answer:
Greater
Step-by-step explanation:
It is greater beacause 1/2 ÷ 2 is 0.25. However, 1 (1.00) is greater than 0.25 because 0.25 is basically 25/100 and 1 is 1 (whole
When a number is increased by 9.5%, the result is 58. What is the original number to the nearest tenth?
(I've seen other questions like this, but the answer is wrong. It's not 50 or 52.49 or 52.5.)
Answer:
53
Step-by-step explanation:
58÷1.095= 53 is the answer
Answer:
5.03196347032
Step-by-step explanation:
We do:
.095x+x=58
1.095x=58
x=52.96
52.96 is a approximation and when you do the math and see what 9.5 of 52.96 plus 52.96 is you get 57.9912 which is super close to 8 The exact answer is x = 5.03196347032
help again i need help
Answer:
2.25
Step-by-step explanation:
32 divided by 14 2/9
can I please have brainiest
find the slope of the line that passes through
(-5,8) and (2,-6)
Answer:
Slope is -2
Step-by-step explanation:
Formula is y2 - y1 / x2 - x1
Hope this helps. Pls give brainliest.
The sale price of a model railroad set is $174. If it was marked down to 25% off of the original price, what was the original price?
Answer:
$217.50
Step-by-step explanation:
I) Make an equation to find the answer:
o = s + 0.25s (original price = sale price + 25% of sale price)
II) Solve:
o = 174 + 0.25(174)
o = 217.50
If the price was 174 after the mark down of 25%, then adding 25% back will give you the answer.
174 + 25% (which is 43.5) = $217.5
Hope this helps!
Which of the following answers would have
no solution?
X=3
5=3
2=2
Answer:
no entiendo me explican que significa por fa
Ivan wants to rent a boat and spend less than $31. The boat costs $8 per hour, and Ivan has a discount coupon for $9 off. What are the possible numbers of
hours Ivan could rent the boat?
Write your answer as an inequality solved for t.
Answer:
he could have the boat for 4 hours with the coupon
t or time is the unknown here to be solved.
The hours Ivan rent the boat multiplied with $8 with $9 discount needs to be less than $31. Hence,
8t - 9 < 31
8t < 31 + 9
8t < 40
t < 5
The hours Ivan can rent the boat has to be less than 5. This is because he wants to spend LESS than 31, 31 sharp is not okay.
how do i use the quadratic formula on 5x + x2 + 10 = 0
Answer:math away is the best for the question u have
Step-by-step explanation:
Mathaway
Step-by-step explanation:
Solve the equation for x by finding a, b and c o f the quadratic then applying the quadratic formula.
5 ± i√15
x = ----------------------------
2