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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Please help!!! Which system of inequality’s is shown below???!!! Use picture below to help you! ;)
Answer:
b
Step-by-step explanation:
...
pls help everyone this is due tomorrow at 8 am <3
Answer:
e=19.6h
Step-by-step explanation:
If in 21 hours, she earns 411.60 dollars, then we need to find how much she makes in ONE hour.
21 h 1 hour
--------- = ------------------
411.60 dollars xdollars
To get from 21 to 1, I would have to divide by 21, right? So, do the same for the denominators.
411.60 / 21= $19.6
Now, since we know the unit rate, we can make an equation!
e=19.6h
You go to your locker to get some supplies. You grab 3 pens and 6 markers, then you find 2 more markers on the bottom of your locker. Choose the equivalent expressions to represent the number of pens and markers you now have.
BoldItalicUnderline
Beard bought 10 acres of land.She plans to divide the land into smaller lots that are each 1/20 of an acre.How many smaller lots will she have.
Answer:She will have:
N = 200 smaller lots
Step-by-step explanation: N = (total acres of land) / (smaller lots of land)
Substituting the values we have:
N = 10 / (1/20)
Rewriting we have:
N = 10 * 20
N = 200 lots
Write 252 as a product of primes. Use index notation when giving your answer.
Answer:
2^2 * 3^2 * 7
Step-by-step explanation:
Keep dividing by prime numbers:
2 ) 252
2) 126
3) 63
3) 21
7
so 252 = 2*2*3*3*7
= 2^2 * 3^2 * 7
A construction team is going to Guatemala to help a missionary build a church building. The construction team will be there for 24 days, which is 50% more days than they need to complete construction. How many days will they need to complete the church building
Answer:
72
Step-by-step explanation:
50% means ½ of the usual days,
if 50% = 24 days
then the usual day is 48 days
so, 48+24= 72
You can represent the measures of an angle and its complement as x °and (90 - x). Similarly, you can
represent the measures of an angle and its supplement as x and (180 - x )º. Use these expressions to
find the measures of the angles described.
The measure of an angle increased by 24° is equal to the measure of its complement.
The measure of the angle is
Jº and the measure of its complement is
Answer:
33°90° -J°Step-by-step explanation:
1)If x represents the measure of the angle, its complement is 90-x. The problem statement tells us ...
x +24 = 90 -x
2x = 66 . . . . . add x-24
x = 33 . . . . . . divide by 2
The measure of the angle is 33°.
__
2)Using J for x in the given complement relation:
The measure of the complement of J° is (90 -J)°.
need help on these 2 questions
Answer: y = -1 and x = 3
Step-by-step explanation:
x=-2y+6
3x-4y = 28
There are two ways to solve this: 1) solve directly with the equations, and 2) graph the line and look for the intersection.
---
Use the definition of x from the first equation and substitute it in the second:
3x-4y = 28
3(-2y+6)-4y = 28
-6y + 18 -4y = 28
-10y = 10
y = - 1
---
Graph the two lines and find the value of y at the point they intersect. See the attachment.
y = -1 at x= 8
=======================
For the second question:
y=3x-10
4x+5y=7
---
4x+5y=7
4x+5(3x-10)=7
4x+15x-50=7
19x = 57
x = 3
----
6.4 divided by 43.52
Answer:
0.14705882352
Step-by-Step:
Just use a calculator and your answer should pop up.
What is the percent decrease of the price of a bicycle if the original price was $120 and the sale price is $80?
Answer:
33.3%
Step-by-step explanation:
1. Formula: difference/original
2. 120 - 80 = 40
3. 40/120
4. 1/3
5. 1/3 = 33.3%
Help. Match each equation with its corresponding graph.
Answer:
y = [tex]\frac{3}{2}[/tex]x-3 ; Graph C
2x + 6y = -6 ; Graph A
y = [tex]\frac{1}{2}[/tex]x + 2; Graph B
Khloee spent $55.23 on a 12 pound box of apples. How much did the apples cost per pound?
Answer:
4.603/Lb
Step-by-step explanation:
$55.23 / 12 = 4.603/Lb
May I please receive help?
Answer:
6.6 ft.
Step-by-step explanation:
Right triangle: Use this formula a² + b² = c² . Given c = 12, a = 10 find b
(10)² + b² = (12)²
100 + b² = 144
b² = 144 - 100
b² = 44
[tex]b = \sqrt{44}[/tex]
b = 6.6
A worker's wages w, are a function of the number of hours h worked at a rate of $10 per hour.
Answer:
w+h+10=10wh
Step-by-step explanation:
Given that the shape is a kite and Angle A=25, Angle C=85, what is Angle
D?
Answer:
m∠D = 165°
Step-by-step explanation:
∠B and ∠C are congruent, so ∠B = 85°
The angles of the kite all added together have to add up to 360°
85 + 85 + 25 + x = 360
195 + x = 360
x = 165
Answer:
m∠D = 165°
Step-by-step explanation:
∠B and ∠C are congruent, so ∠B = 85°
The angles of the kite all added together have to add up to 360°
85 + 85 + 25 + x = 360
195 + x = 360
x = 165
A number w is greater than-3
Answer:
w>-3
Step-by-step explanation:
What number could replace n?
6/12 = 2/n
n = ___
n = 4
Since you divide 6 by 3 to get 2, you divide 12 by 3 and you get 4.
Answer: 4
Step-by-step explanation: This problem is already set out as a proportion. you can cross multiply 6 times n which gives you 6n. Then 12 times 2 which gives 24.
Now you have 6n = 24. You can divide right away, or think of a number when you multiply into 6 gives you 24. Its obvious the answer is 4 because 6 x 4 = 24.
Check:
6/12 = 1/2
2/4 = 1/2
Hope this explanation helps.
Hot Dog!
Moderate
Previous
If it costs a total of $9 to buy 1 hot dog and 2 bottles of water and it costs a total of $22 to buy 3 hot dogs and 4
bottles of water, how much does a single bottle of water cost?
Answer:
$2.50
Step-by-step explanation:
1h + 2w = 9
3h + 4w = 22
Multiply the first expression x 3
3h + 6w = 27
Subtract the 2 equations
3h + 6w = 27
3h + 4w = 22
2w = 5, w = 2.5
use the midpoint formula to find the midpoint of the given segment on the coordinate plane
Answer:
Midpoint : (4,3)
Step-by-step explanation:
midpoint = [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Where the x and y values are derived from the given points.
We are given points H and K which are at (2,2) and (6,4)
We have (x1,y1) = (2,2) so x1 = 2 and y2 = 2
As well as (x2,y2) = (6,4) so x2 = 6 and y2 = 4
To find the midpoint we simply plug in the values of x and y into the formula
Recall the formula [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
x1 = 2 , x2 = 6 , y1 = 2 and y2 = 4
plug in these values into the formula
[tex](\frac{2+6}{2} ,\frac{2+4}{2} )[/tex]
add top values: 2 + 6 = 8 and 2 + 4 = 6
[tex](\frac{8}{2} ,\frac{6}{2} )[/tex]
simplify fractions : 8/2 = 4 and 6/2 = 3
The midpoint is at [tex](4,3)[/tex]
Help help help help math
area=147 cm squared
7 x 7 = 49
49 x 3 = 147
16 liters to fraction
Answer:
16 liters to a fraction would be 4.2 or 4 1/5
Step-by-step explanation:
16 liters = 4.22675 gallons
4.2 gallons = 4 1/5 gallons
1000 L= 1 KL
16 L = 0.016 KL
(Divide 16 by 1000 to convert.)
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
45/10 =4.5
4.5 x 7 = 31.5
Hight = 31.5
Answer:
B.
Step-by-step explanation:
Since they are equal do.
45 divided by 10
which equals 4.5.
So the image is being reflected by a 4.5 times bigger scale.
So then you do,
7 x 4.5
which is 31.5.
Find the values of the variables in the similar triangles very much high points
I know for a fact that x=2
Answer:
x = 2, m = 3.75, a = 1.25Step-by-step explanation:
Solve by comparing ratios of corresponding sides:
(x + 4 + 2) / (4 + 2) = (3 + 6 + 3)/(6 + 3) (x + 6)/6 = 12/9x + 6 = 8x = 2m/(6 + 3) = 5/(3 + 6 + 3)m / 9 = 5/12m = 9*5/12m = 3.75
a/3 = 5/12a = 3*5/12a = 1.25
PLEASE HELP 15 POINTS please give right answer
Answer:
pretty sure it's D........
i need helpppppp jsjfisisocjkdiwkdbgjc
Answer:
Triangle
sum of interior = 180
one interior = 60
all triangles will have a sum of 180
and since there are only three angles in a triangle that means 180/3 = 60 degrees will be in one angle.
Teresa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59 and costs an additional $0.08 per mile driven, The second plan has an initial fee of $48 and costs an additional $0.10 per mile driven. For what amount of driving do the two plans cost the same? Omiles What is the cost when the two plans cost the same? $0
Answer:
1. 550 miles
2. $103
Step-by-step explanation:
y = total rental cost
m = initial fee
x = cost per mile
n = number of miles
Plan 1: y = m + xn = 59 + 0.08n
Plan 2: y = m +xn = 48 + 0.10n
Q1. if total cost is the same : 59 + 0.08n = 48 + 0.10n >>> 0.02n = 11 >>> n = 550
Q2. y = m + xn = 59 + 0.08n = 59 + 0.08(550) = 103
If the magnitude of vector u is ||u||=7.81 and its angle of direction is 129.81°, which graph represents vector -u?
Answer:
see attached
Step-by-step explanation:
The vector -u will be in the opposite direction of u. The magnitude is 7.81, but the angle is 129.81° -180° = -50.19°. A graph of it is attached.
_____
The (x, y) components are ...
7.81(cos(-50.19°), sin(-50.19°)) ≈ (-5.00, -6.00)
Graph
Y-7=-3/5-(x+2)
Answer:
See attached
Step-by-step explanation:
A simpler form of the same equation is:
y = -4 +(4+2/5)
A car used 1/48 of a gallon of gas to drive 1/4 of a mile . At this rate , how many miles can the car travel using 1 gallon of gas
Answer:
12 miles
Step-by-step explanation:
Your car uses 1/12th of its entire gas to go a single mile. This means that you need to drive 12 miles to run out of gas.
what is the sum of the interior angles of a hexagon?
Hello!
So, every interior angle of a regular hexagon measures 120 degrees.
There are six interior angles of a hexagon, so you have to multiply 120 by 6.
120 x 6 = 720
So, the answer to your question is that the sum of the interior angles of a hexagon is 720 degrees.
Hope this helps!