If the pair of points (5, 6) and (10, y) lie on a line with slope 4/5, then the value of y is 10
The slope m of the line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For the line passing through points (5, 6) and (10, y)
[tex]x_1=5, y_1=6, x_2=10, y_2=y[/tex]
The slope, m = 4/5
Substitute these value into the slope formula and solve for y
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\\frac{4}{5}=\frac{y-6}{10-5} \\\\\frac{4}{5}=\frac{y-6}{5}[/tex]
Cross multiply:
4(5) = 5(y-6)
4 = y - 6
Collect like terms
y = 4 + 6
y = 10
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graph y= -4/3 x+2 using the slope and y-intercept
Answer:
heres a graph
Step-by-step explanation:
Answer: there you go
Step-by-step explanation:
You are running a fuel economy study. One of the cars you find is blue. It can travel 44 1/2miles on 1 and 1/4 gallons of gasoline. Another car is red. It can travel 27 1/5 miles on 4/5 gallon of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Answer:
Blue carStep-by-step explanation:
Find the miles per gallon rate of each car
Blue car:
44 1/2 ÷ 1 1/4 = 89/2 ÷ 5/4 = 89/2 × 4/5 = 356 / 10 = 35.6 miles per gallonRed car:
27 1/5 ÷ 4/5 = 136/5 × 5/4 = 136/4 = 34 miles per gallonAccording the rates, the blue car could travel the greater distance
5x+2y=6 3y=2x+9 how many solutions does this problem have? No solution, one solution, or infinite solutions
Answer:
One solution
Step-by-step explanation:
First, organize the equations by moving y to the left hand side:
5x + 2y = 6, subtract 5x from both sides and we get: 2y=6-5x
3y = 2x + 9 is already done
Next, set the coeficcient of both y values equal to the least common multiple of 2 and 3 which is 6:
2y=6-5x multiply both sides by 3, 6y = 18-15x
3y=2x+9 multiply both sides by 2, 6y = 4x+18
Substitute y on both sides and we get 18-15x=4x+18
Simplify that and you get 19x=0, x equals 0, so there is one solution
Work out the percentage change to 2 decimal places when a price of £60 is increased to £89.99.
Answer:
49.98%
Step-by-step explanation:
Original price: £60
New price: £89.99
The difference in prices: £89.99 - £60 = £29.99
£60 - 100% (the original price)
£29.99 - x (the % that we want to calculate)
29.99 × 100 = 2999
2999 ÷ 60 = 49,9833333
2x/5=9/15 what does x equal
Answer:
2x/5=9/15
2x=9/3
x=1.5
Given that D, E, and F are the midpoints of their respective sides, which of the following is a true statement?
Answer:
I'm pretty sure its the 1st one.
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answer:
31). (0,-2), (2,-5).
32). (0,-1), (5,3).
33). (0,1), (5,-2).
34). (0,1), (4,0).
solve 4x-y=-5 -2x+3y=10
Answer:
(x,y) =(7/2,4)
[tex]15yx^{2} -34y-16[/tex]
Answer:
15yx^2-34y-16
Step-by-step explanation:
A rectangle has an area of 35x + 42 square units. If the
width of the rectangle is 7 units, what is the length of the
rectangle?
Answer:
length = 5x + 6
Step-by-step explanation:
35x + 42 = 7*L since area of a rectangle is length * width
(35x + 42) divide by 7 = 7L divide by 7
5x +6 = y
simplify 7^2 • 7^6 =
A recipe that serves 6 people calls for 1 1/2 cups of sugar. Suppose you have 9 cups of sugar. Do you have enough to make the recipe for 40 people?
What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
-1/3x+4
Hope This Helps!!!
PLEASE HELP! A farm stand sells oranges in 3-lb bags for $3.75. What equation represents the cost, c, for p pounds of oranges?
A. c = 1.25p B. p = 1.25c
C. c = 3.75p D. p = 3.75c
Please answer asap
Answer:
The answer is A
Step-by-step explanation:
$1.25*3=3.75
how many solutions does the following system of equations have: 3x−2y=−7 4y=9−6x
this equation is error because of -7and 4y two this is not have + or - that's why
6 A clothing store paid $30 for a jacket, and sold the jacket for $48.
What was the percent increase?
Answer:
60%
Step-by-step explanation:
% increase = Increase ÷ Original Number × 100
Answer:
60%
Step-by-step explanation:
Total increase in cost = $(48 - 30) = $18
Now,
% increase = Increase/Original amount × 100
=> 18/30 × 100
=> 18/3 × 10
=> 6 × 10
=> 60%
Plz help brainiest to the correct answer!
Answer:
1. x (multiplication)
2. / (division)
3. - (subtraction)
4. - (subtraction)
5. / (division)
Step-by-step explanation:
1. 24 x 3/4= 18
2. 24/-3/4=-32
3. 12- 15= -3
4. 12- (-15)= 12 + 15 = 27
5. -18 / -3/4= 24
#a
[tex]\\ \sf{:}\dashrightarrow 24\times \dfrac{3}{4}=18[/tex]
#b
[tex]\\ \sf{:}\dashrightarrow 24\div \dfrac{-3}{4}=-32[/tex]
#c
[tex]\\ \sf{:}\dashrightarrow 12-15=-3[/tex]
#d
[tex]\\ \sf{:}\dashrightarrow 12-(-15)=27[/tex]
#e
[tex]\\ \sf{:}\dashrightarrow -18\div \dfrac{-3}{4}=24[/tex]
question (e) only please show working as well appreciate it
Answer:
a. f(2) = 6
b. f(3) + f(-3) = 62
d. 3(x+1)^2 - 5(x+1) + 4
e. This one looks like the secant line equation. Not fully sure.
Step-by-step explanation:
You replace whatever is inside of the parenthesis with the x in the function. For the first two, you just have to calcluate the numbers.
For the other two , you have use algebra. For d, you replace x with x+1.
Determine if the relation below is a function.
(-5,1) ; (3,1) ; (5,1) ; (2,1)
Group of answer choices
Yes, this relation is a function.
No. this relation is not a function.
easy one for you folks. show work.
who ate more?
Answer:
Regan ate more
Step-by-step explanation:
maggie: 5/8 of pizza to start
eats 1/4 of 5/8
1/4 times 5/8 gives 5/32
regan: 7/12 of pizza to start
eats 2/3 of 7/12
2/3 times 7/12 gives 14/36 or 7/18
7/18 > 5/32
Answer: Reagan
Step-by-step explanation: because 2/3 is more than 1/4
Need help ASAP! Directions in picture;)
Can u help me with these plss
Answer: 40BC and 766AD
Step-by-step explanation:
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
Answer:
Below.
Step-by-step explanation:
Part A.
m < RPB = 180 - 115 = 65 degrees.
So the m < x = 180 - 65 - 62
= 53 degrees.
Part B.
First line of Part A:
M < RPB + m < PRD = 180 degrees ( Internal angle between 2 parallel lines are equal).
Second line:
The 3 angles x, 62 and 65 degrees are all on the same straight line (AB), so they sum to 180 degrees.
PLEASE HELP! WILL MARK BRAINLIEST!!!
AnswerAnswers in explaination
Step-by-step explanation
PART A ANSWER: equation 1) y=1155x+982 and 2) y+100x+1000 both have x model the number of years and y model the investment they made.
PART B answer: The two equations I solved for above
Part C: if she goes with the first plan and invest for 20 years she'll get 24082 dollars and if she invest in the second one she'll get 3000 dollars. As you can see there is a huge difference between the two
At a restaurant the ratio of kids meals sold to adult meals sold was 2:1. If there were 8
kids meals sold, what is the combined amount of kids and adult meals sold?
Answer: 12
Step-by-step explanation:
8/2=4
4x1=4
8+4=12
Answer:
12
Step-by-step explanation:
following the 2:1 ratio, or 2 kids meals for every adult meals sold, so if 8 kids meals are sold, 4 adult meals must have been sold.
8/2 = 4
Help help help help
Answer:
C = 18
Step-by-step explanation:
Put the numbers in place of their symbols and do the arithmetic. The diagram is showing you r = 3.
C = 2πr
C = 2(3)(3) . . . . . using 3 for π, as directed
C = 18
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
Here we've been provided with the information given that radius (r) = 3.
And we have to find the circumference (c) of circle. And we have been provided with the formula i.e C = 2πr.
Placing (π = 3) in the above equation,
[tex]:\implies\tt{c = 2\pi r}[/tex]
[tex]:\implies\tt{c = 2 \times 3 \times 3}[/tex]
[tex]:\implies\tt{c = 6 \times 3}[/tex]
[tex]:\implies\tt{c = 18}[/tex]
The circumference of circle is 18cm.loria has some dimes and quarters. If she has 18 coins worth a total of $2.25, how many of each type of coin does she have?
Answer:
dimes: 5
quarters:8
Step-by-step explanation:
she has 2$ in quarters and $0.25 in dimes
Answer:
10 Dimes and 5 Quarter
Step-by-step explanation:
Important info:
18 Coins worth a total of $2.25
Note:
Dimes = .10
Quarter = .25
10 Dimes = 1.00
4 Quarter = 1.00
Question to Answer:
How many each type of Coin does she have?
Solution:
Lets get rid of .25 in $2.25 :)
So that 1 Quarter..
2.00
Takes away 1.00 = 10 Dimes
Now we have 1 Quarter and 10 Dimes.
1.00 Left..
4 Quarter = 1.00
So now we have 5 Quarter and 10 Dimes..
Check Work:
5 Quarter = 1.25 and 10 Dimes = 1.00
1.25+1.00=
$2.25
Hence. Loria has 5 Quarter and 10 Dimes.
{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}
~[ RevyBreeze]~
F(x)=log2(x+3)+5 what's the x and y int.
Answer:
x int (-3), y it. (5)
Step-by-step explanation:
x+3=0, just subtract 3 and x = 3
Number to the right of parenthesis is always y int. for this sort of problem
Solve and show your work for each question...
[tex]0.\overline{36} = \dfrac{36-0}{99} = \dfrac{36}{99} = \dfrac{4}{11}\\\\\\0.3\overline{6}= \dfrac{36-3}{90} = \dfrac{33}{90} = \dfrac{11}{30}\\\\\\0.36 = \dfrac{36}{100} = \dfrac{9}{25}[/tex]
Sarah wants to find out how much time it would take to drive from her home to New York. At an average, she would drive at 55 miles per hour. If the distance to be covered is 1150 km and a mile equals 1. 61 km, how much time will the trip take (to the nearest hour)? 13 hours 21 hours 29 hours 34 hours.
Answer:
A
Step-by-step explanation:
d = 1150 km = 1150 km / 1.61 miles = 714.29 miles
r = 55 mph
d / r = time
714.29 / 55 = 12.99 hours.
The closest time to that is 13 hours.
