So, we know that he ran 65 miles, and he ran one short mile of 8.2 miles. We also know that the rest of the miles are among five long runs.
1. Subtract the known data.
65 - 8.2 = 56.8
2. Divide 56.8 by 5 to determine the distance of each long run.
56.8 / 5 = 11.36
This summarizes that each long run was 11.36 miles long.
Latoya drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would she need to drive 216 miles?
Answer:
8.1 gallons of gas
Answer:
8.10 or 8
Step-by-step explanation:
you divide the miles with how many tanks of gas was used to find how much 1 gallon can take you.
240/9=26.66
now that you know how much 1 gallon of gas can take you you have to divide 216 by 26.66 to find how many gallons you would need
216/26=8.10
Solve: 8 = 16 + X
please help me. :)
Answer:
x=-8
Step-by-step explanation:
8=16+x
-x=16-8
-x=8
x=-8
What is the solution to the following equation?
-50 = -5x - 3(5x + 15)
Answer:
Step-by-step explanation:
-50 = -5x - 3(5x + 15) {Use distributive rule}
-50 = -5x + 5x *(-3) + 15*(-3)
-50 = -5x - 15x - 45 {Combine like terms}
-50 = -20x - 45 {Add 45 to both sides}
-50 + 45 = -20x
-5 = -20x {Divide both sides by -20}
-5/-20 = x
1/4 = x
2(x+1)=3x-x+2 help fast and show work please
Answer:
0=0
Step-by-step explanation:
[tex]2(x+1)=3x-x+2\\\\\mathrm{Add\:similar\:elements:}\:3x-x=2x\\2\left(x+1\right)=2x+2\\\\\mathrm{Expand\:}2\left(x+1\right):\quad 2x+2\\2x+2=2x+2\\\\\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\2x+2-2=2x+2-2\\\\Simplify\\2x=2x\\\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\2x-2x=2x-2x\\\\Simplify\\0=0\\\\\mathrm{True\:for\:all}\:x[/tex]
8 ( x + 7 ) = 32 + 2x
Answer:
8x (x+7) =32+2x :x=-4
Step-by-step explanation:
best i got i had someone help me lol
Answer:
x = - 4Step-by-step explanation:
8 ( x + 7 ) = 32 + 2x
8x + 56 = 32 + 2x
8x - 2x = 32 - 56
6x = - 24
x = - 24/6
x = - 4
Find the least common multiple (LCM) of 12 and 16
==================================================
Method #1
Multiply the two values to get 12*16 = 192
Then divide over the GCF 4 getting 192/4 = 48
------------------
Method #2
List out the multiples of each and see what they have in common
Multiples of 12 = {12, 24, 36, 48, 60, 72, 84, 96, ...}
Multiples of 16 = {16, 32, 48, 64, 80, 96, ...}
We see that 48 is the smallest common multiple.
-------------------
Method #3
Find the prime factorization for each
12 = 2*2*3
16 = 2*2*2*2
The unique prime factors are 2 and 3
The prime 2 shows up at most 4 times, so 2^4 = 16 is one factor of the LCM
The prime 3 shows up at most 1 time, so 3^1 = 3 is the other factor of the LCM
The LCM is 3*16 = 48.
The least common multiple (LCM) of 12 and 16 is 48.
To find the LCM, you can use the following steps:
List the multiples of each number until you find a common multiple.
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, ...
Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, ...
The least common multiple (LCM) is the smallest number that appears in both lists.
The smallest number that appears in both lists is 48.
So, the least common multiple (LCM) of 12 and 16 is 48.
To learn more on Number system click:
https://brainly.com/question/1763119
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Write the equation of the line, given the y and x-intercepts.
y-intercept = –6, x-intercept = –2
Answer:
Linear equation: (-2,-6)
Quadratic Equation: y = [tex]x^2[/tex] +8x =12
Step-by-step explanation:
see Example image #1 for Linear Equation graph
See Example image #2 for Quadratic Equation graph
Quadratic Equation Explanation:
x = -2 an x = -6 are the two real distinct solutions for the quadratic equation, which means that x+2 and x+6 are the factors of the quadratic equation.
( x + 2 ) ( x + 6 ) = 0
Expand ( x + 2 ) ( x + 6 ) using the FOIL Method.
x ⋅ x + x ⋅ 6 + 2 x + 2 ⋅ 6 = 0
Simplify and combine like terms.
[tex]x^2[/tex] + 8 x + 12 = 0
The standard quadratic equation using the given set of solutions{ − 2 , − 6 } is
y = [tex]x^2[/tex] + 8 x + 12 .
Segment PE has endpoints P(-4,4) and E(0,-4). Find the coordinates of point Q such that PQ:QE is 1:3. Enter the coordinates below
Answer:
(-3, 2)
Step-by-step explanation:
Given that point Q, partitions segment PE, such that PQ:QE is 1:3, coordinates of point Q is found using the formula below:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] P(-4, 4) = (x_1, y_1) [/tex]
[tex] E(0, -4) = (x_2, y_2) [/tex]
[tex] m = 1, n = 3 [/tex]
Plug in the necessary values to find x and y coordinates for point Q as follows:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] x = \frac{1(0) + 3(-4)}{1 + 3} [/tex]
[tex] x = \frac{0 - 12}{4} [/tex]
[tex] x = \frac{-12}{4} [/tex]
[tex] x = -3 [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
[tex] y = \frac{1(-4) + 3(4)}{1 + 3} [/tex]
[tex] y = \frac{-4 + 12}{4} [/tex]
[tex] y = \frac{8}{4} [/tex]
[tex] y = 2 [/tex]
The coordinates of the point Q are (-3, 2))
A taxi cab charges $4.00 per minute for local
roads and $7.00 per minute for highways. Max
rode on a taxi cab and traveled over both local
roads and a highway. If he spent $59 on a ride
that lasts 11 minutes in total, how much time
did Max spend in the taxi going over the local
roads?
Answer:
5 minutes with 7$,6 minutes with 4$
Step-by-step explanation:
Let's just say that he travelled only local
11 ×4 =44$(the false sume)
59 - 44 =15 (the difference between the real sume and the false)
7-4 =3$(the difference between the highway and local)
15 :3 =5minutes with 7$
11-5 =6 minutes with 4$
PLEASSSSSSSSSSSSEEE HELPPP
69=-3(-3-4p)
Answer:
p = 5
Step-by-step explanation:
-3(-3-4p) = 69
-3×(-3) + -3× (-4p) = 69
9 + 12p = 69
12p + 9 - 9 = 69 - 9
12p = 60
p = 5
Hope this helps!!!
In a recent survey, students were asked how long they play video games in one sitting. The interquartile range of
the length of play times was 43 minutes. Which of the following is the best interpretation of this value?
Fifty percent of the video game data is below 43 minutes.
The middle half of the video game data has a range that is 43 minutes wide.
The number of minutes played by students typically varies by about 43 minutes from the mean.
The difference between the smallest and largest values in the video game data was 43 minutes.
Answer:
The middle half of the video game data has a range that is 43 minutes wide.
Step-by-step explanation:
Thats the answer on Edguinity I took the Quiz.
Answer:B
Step-by-step explanation:
EDGE 2023
Homework Pro
Question Progress
Simplify
olo
leaving your answer in index form.
A circle has a diameter of 16 cm. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
the answer is 50.27 cm for your question
1: name three collinear points
2: name DC 2 different ways
3: name the intersection of line f and AB
4: name the intersection of planes Q and P
5: give another name of plane p
Answer:
(I). The collinear points are DC, and E
(II). The name of DC in different way is
[tex]DC = CD[/tex]
[tex]DC=DE+EC[/tex]
(III). The name of the intersection of line FG and AB is CD.
(IV). The name of the intersection of planes P and Q is EF.
(V). The another name of plane PQ is QP.
Step-by-step explanation:
Given that,
The following questions are,
(I). We need to find the name three collinear points
Using diagram
The collinear points are DC, and E
(II). We need to find the name of DC to different ways
Using diagram
The name of DC in different way is
[tex]DC = CD[/tex]
[tex]DC=DE+EC[/tex]
(III). We need to find the name of the intersection of line FG and AB
Using diagram
The name of the intersection of line FG and AB is CD.
(IV). We need to find the name of the intersection of planes P and Q
Using diagram
The name of the intersection of planes P and Q is EF.
(V). We need to find the another name of plane PQ
Using diagram
The another name of plane PQ is QP.
Hence, (I). The collinear points are DC, and E
(II). The name of DC in different way is
[tex]DC = CD[/tex]
[tex]DC=DE+EC[/tex]
(III). The name of the intersection of line FG and AB is CD.
(IV). The name of the intersection of planes P and Q is EF.
(V). The another name of plane PQ is QP.
which numbers are less than negative 8/3
Hopefully, you'll get answers as good as the ones you're giving.
For this question, you would need to spend whatever you have left after you bail out your daughter and her math teacher.
Alex buys 24 apples from the supermarket. when he gets home 6 of them are bad. what percentage of apples are bad? round your answer to the nearest answer.
Answer:
6/24 is 25 percent...... so 25% of his apples are bad
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
6 is the number of apples bad
That means that 6/24 of them were bad apples
6/24=1/4 since you divide by 6 on numerator and denominator
1/4 can be expressed as 25%
Q1 [5]
A cliff is located on the edge of a river. An observation tower, 11 meters tall, is built on the
cliff. The angle between the top of the cliff and the opposite side of the river is 20°, while the angle
between the top of the tower and the opposite side of the river is 30° Let's define h as the height of
the cliff and w the width of the river.
iii. Draw the cliff, tower and river writing all the information given (1pt)
Find the width of the river (4 pt)
iv.
Answer:
The required drawing showing the cliff, river, and tower as well as the details in the question is attached, please find alongside the answer
The width of the river is approximately 51.55 meters
Step-by-step explanation:
The height of the observation tower = 11 meters
The angle of elevation of the cliff top and the opposite side of the river = 20°
The angle of elevation of the tower top and the opposite side of the river = 30°
Therefore, by sine rule, we have;
h/sin(20) = w/sin(60)
11/sin(10) = length, l/sin(60)
l = sin(60) ×11/sin(10) ≈ 54.86 meters
w = l × cos (20) = 54.86 meters × cos (20) ≈ 51.55 meters
The width, w, of the river is approximately 51.55 meters.
equivalent ratios of 5:7
Answer:
10:14 15:21 etc.
Step-by-step explanation:
Lucy and Jennie are having a basketball shooting contest. A +1 is scored for every basket made and a -1 is given for each missed shot. At the end of the game, Jennie has a +8 and Lucy has a -3. What is the difference in their scores?
Answer:The diffrence is 11
12 − 7 = 2(3 + 5) + 6 − 17
It equals 5- hope this helps---
How are factors and products connected
There are 78 students in the fourth grade 39 of them are girls
Answer:
This means that the answer is 39
Step-by-step explanation:
if u subtract 78 from 39 u get 39 just as if u add 39 + 39= 78.
+
3. -5y- 10=-60
Solve the equation for -5y- 10=-60
Answer:
y=10
Step-by-step explanation:
you first add 10 to both sides
the bring down the -5y
thr divide it -50 with -5
Rearrange the equation so w is the independent variable.
-2u + 6w = 9
u = _______
Answer:
u = 3w -9/2
Step-by-step explanation:
-2u + 6w = 9
Subtract 6w from each side
-2u + 6w-6w = 9-6w
-2u = 9-6w
Divide each side by -2
-2u /-2 = 9/-2-6w/-2
u = 3w -9/2
PLEASE HELP!! WHICH ONE IS GREATER?? -3 or 3 PLEASE EXPLANE IF YOU CAN??! THANK YOU!
How much chocolate will 3 people get if they share a 4/5 pound of chocolate equally
[tex]\text{Hello!}[/tex]
[tex]\large\boxed{\frac{4}{15}lbs}[/tex]
[tex]\text{Since the chocolate is being shared with 3 people, divide by 3:}[/tex]
[tex]\frac{4}{5} / 3 = \\ \\\text{Divide by multiplying by its reciprocal:}\\\\\frac{4}{5}* \frac{1}{3} = \frac{4}{15}lbs[/tex]
Answer:
15/4
Step-by-step explanation:
Keep the first fraction
3 ÷ 5/4
Flip the second fraction and change division to multiplication
3/1 × 4/5
Multiply
3/1 × 4/5 = 15/4
PLEASE HELP PLEASE 9TH GRADE MATH
Answer:
A
Step-by-step explanation:
I believe it is A because for perpendicular lines the slope must be the reciprocal and have the opposite sign. The y-intercept 2 matches the coordinates (-2, 2). The second number, 2, is the y coordinate.
Matea recorded that water levels in one part of the river fell 1.05 millimeters per year for 2.48 years. Describe how you could estimate the total variation in water level.
Answer:
The decrease of the decimal rate -1.05 mm/year can be rounded to -1. You don’t need to round 2.48 because you’re multiplying by -1. Since -1.05 is negative and rounded to a greater value, the estimate could be adjusted to a slightly lesser value, maybe -2.5 or -2.6.
Step-by-step explanation: I'm taking the test
Answer:
Sample response: The decrease of the decimal rate -1.05 mm/year can be rounded to -1. You don’t need to round 2.48 because you’re multiplying by -1. Since -1.05 is negative and rounded to a greater value, the estimate could be adjusted to a slightly lesser value, maybe -2.5 or -2.6.
Step-by-step explanation:
George buys stock in three different companies on the New York Stock Exchange. He bought one for $168, one for $231, and another for $189. How much did George spend on all of these stocks combined?
the answer is 588 dollars
Help please it would mean a lot to me because I just don’t understand it
Answer:
[tex]\boxed{A. a < 7}[/tex]
Step-by-step explanation:
Hey there!
Well given,
2a + 6 < 4(a - 2)
We need to simplify for a.
Distribute 4, 4(a - 2)
4*a = 4a
4*-2 = -8
2a + 6 < 4a - 8
-2a to both sides
6 < 2a - 8
+8 to both sides
14 < 2a
14 ÷ 2 = 7
Thus, a < 7.
Hope this helps :)
Answer:
a > 7
Step-by-step explanation:
Distribute the 4 on the right side. (Distributive Property)
Put the like terms together.
Combine like terms.
Divide on both sides (divide by the coefficient) and flip the inequality sign.
Your final answer should a > 7
