[tex]\huge\text{B. $\boxed{7x-2y=39}$}[/tex]
Hey there! We can use point-slope form to start off the equation, then change that to standard form.
[tex]\begin{array}{c|l}\textbf{Solving}&\textbf{Reasoning}\\\cline{1-2}\\y-y_1=m(x-x_1)&\text{Start with point-slope form.}\\\\y-(-2)=\dfrac{7}{2}(x-5)&\text{Substitute in the known values.}\\\\y+2=\dfrac{7}{2}(x-5)&x-(-y)=x+y\\\\y+2=\dfrac{7}{2}x-\dfrac{35}{2}&\text{Use the distributive property.}\\\\-\dfrac{7}{2}x+y=-\dfrac{39}{2}&\text{Move the variables to the left.}\\\\\boxed{7x-2y=39}&\text{Multiply everything by $-2$.}\end{aligned}[/tex]
Mr. Gomez bought fruit to make fruit salad. He bought 2 ½ pounds of apples and spent $4.50 on apples and oranges . Write and solve an equation to determine the number of pounds of oranges Mr. Gomez bought.
Answer:
Amount of orange = 1.25 pound
Step-by-step explanation:
Given:
Total amount of apple = 2.5 pound
Total cost = $4.5
Missing cost;
Orange = $1.2 per pound
Apple = $1.2 per pound
Computation:
Assume amount of orange = x
So,
1.2(x) + 2.5(1.2) = 4.5
1.2 x + 3 = 4.5
1.2 x = 1.5
x = 1.25 pound
Amount of orange = 1.25 pound
Find the value of x for which r || s.
Then find m<1 and m<2.
m<1 = 79- x
m<2 = 94- 2x
< means angle
Answer:
x=15
Step-by-step explanation:
79-15=64
94-30=64
The value of x for which r || s will be 15.
What are Parallel lines?
Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
Lines r and s are parallel to each other.
m ∠1 = 79 - x
m ∠2 = 94 - 2x
Since, Two lines r and s are parallel to each other.
Then, By definition of alternate angles of parallel lines;
m ∠1 = m ∠2
Now, Substitute the given values we get;
m ∠1 = m ∠2
79 - x = 94 - 2x
Subtract 79 both side,
79 - x - 79 = 94 - 2x - 79
- x = 15 - 2x
Add 2x both side,
- x + 2x = 15 - 2x + 2x
x = 15
Thus, The value of x is 15 for which r || s.
Learn more about the parallel lines visit:
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4x+5+4x+5+4x+5+4x+5+4x+5 solve for x
Answer:
3
Step-by-step explanation:
I need help!!!! I don’t understand these well and I have to do 5 of these.
Which shows the best use of the associative and commutative properties to make simplifying -1/3-10+7+2/3+5 easier
Answer:
9
Step-by-step explanation:
Function or not function please help I will give brainless
Answer:
It is a not a Function.
Because one number has two arrows pointing to two different numbers.
Answer:
No
Step-by-step explanation:
(the image is fuzzy so you can't really see the lines)
It seems that when x = 1, f(x) is both 4 and 5.
While two different x values can equal the same y value, one single x value cannot be equal to more than one value.
If this was a function that could be graph, there would be an extra dot at (1, 4) or (1, 5) since 1 is equal 4 or 5. This is why it is not a function.
Ms Rose has her rent deducted directly from her checking account. Each month she pays the same amount. At the end of the year, her balance has changed by $13,468.08 due to her rent. How much is Ms. Rose's rent each month?
Given lines p and q are parallel, m<2 - (14x - 12), m<6 - (5y + 23), and m<8 - (8x + 27), solve for the values of x and y then solve for the measure of each angle
Answer:
x = 7.5
y = 14
m<1 = 87°
m<7 = 93°
Step-by-step explanation:
Given:
m<2 = (14x - 12),
m<6 = (5y + 23),
m<8 = (8x + 27)
m<2 + m<8 = 180° (consecutive exterior angles are supplementary)
(14x - 12) + (8x + 27) = 180 (substitution)
Solve for x
14x - 12 + 8x + 27 = 180
Collect like terms
22x + 15 = 180
Subtract 15 from each side
22x = 180 - 15
22x = 165
Divide both sides by 22
x = 7.5
m<2 = m<6 (corresponding angles are congruent)
(14x - 12) = (5y + 23) (substitution)
Plug in the value of x
14(7.5) - 12 = 5y + 23
105 - 12 = 5y + 23
93 = 5y + 23
Subtract 23 from each side
93 - 23 = 5y
70 = 5y
Divide both sides by 5
14 = y
y = 14
✅m<1 = m<8 (alternate exterior angles are congruent)
m<1 = (8x + 27) (substitution)
Plug in the value of x
m<1 = 8(7.5) + 27 = 87°
m<7 = m<2 (alternate exterior angles are congruent)
m<7 = (14x - 12) (substitution)
Plug in the value of x
m<7 = 14(7.5) - 12 = 93°
Complete the steps to solve the equation -19x - 11 = -125.
-19x - 11 = -125 Write the original equation.
-19x = __ Apply the Addition Property of Equality.
Answer:
Step-by-step explanation:
-19x-11= -125 add 11 to both sides
-19x= -114 divide by -19
x= 6
Which equation has infinitely many solutions?
A. 12 + 4x = 6x + 10 – 2x
B. 5x + 14 – 4x = 23 + x – 9
C. x + 9 – 0.8x = 5.2x + 17 – 8
D. 4x – 2x = 20
Answer:
it might be c or a i go with c
Step-by-step explanation:
not for sure just a best guess
One sixth of a number is equal to triple that number less 136.
Let the unknown number be x. Write this word problem using the variable x.
Alan spent $68 on fruit at the grocery store. He spent a total of $80 at the store. What percentage of the total did he spend on fruit?
Jane invested her savings in two investment funds. The amount she invested in Fund A was $6000 less than the amount she invested in Fund B. Fund A returned a 8% profit and Fund B returned a 2% profit. How much did she invest in Fund B, if the total profit from the two funds together was $1220 ?
Answer:
Jane invested $37,000 in Fund B.
Step-by-step explanation:
Let;
IA = Amount invested in Fund A = $6,000
IB = Amount invested in Fund B = ?
PA = Amount of profit from Fund A = IA * 8% = $6,000 * 8% = $480
PB = Amount of profit from Fund B = IB * 2%
Therefore, we have:
Total profit = PA + PB = $1220 ........................ (1)
Substitute the relevant values into equation (1) and solve for IB, we have:
$480 + (IB * 2%) = $1220
IB * 2% = $1220 - $480
IB * 2% = 740
IB = 740 / 2%
IB = $37,000
Therefor, Jane invested $37,000 in Fund B.
A. 3
B. 1/3
C. -3
D. -1/3
Answer:
A
3
Step-by-step explanation:
go down 1
move left 3
3 over 1
3/1 or 3
FIRST CORRECT ANSWER WILL GET BRAINLIEST!!!!!!!!!!!
Find the slope represented on the graph
A)-2/3
B)2/3
C)-3
D)3
Answer:
B
Step-by-step explanation:
You can do rise over run or use the slope formula which is y2-y1/x2-x1
jim brownee sells cell phones. He sold $1000 last week. he gets 5%
commission on the first $200, 7% on the next $300 and 9% on anything
over $500. what was his total commission earned?
A. 152
B. 63
C. 225
D. 76
Answer:
D. 76
Step-by-step explanation:
200x5%=10
300x7%=21
500x9%=45
10+21+45=76
plz help i will mark brainliest
Answer:
43
Step-by-step explanation:
can you guys help with this problem pls
25(8)+7(8)+25x+7x
Answer:
32x+256
Step-by-step explanation:
Answer:256+32x
Step-by-step explanation:
The costs of renting a car from us is just $19.25 per day. Let x represent the number of days, and y represents the costs.
Answer:
y=19.25x
Step-by-step explanation:
Bescha predicted that she would sell 500 handmade vases at a flower show. When the show was over, she had 50 vases left. What was the percent error in the estimate? Round the answer to the nearest tenth.
10.0%
11.1%
50.0%
90.1%
Answer: 10.0%
Step-by-step explanation:
Answer:
Its A
Step-by-step explanation:
PLEASEEE HELP ME ANWSER THISSS ♥️♥️♥️♥️
Is this congruent by SSS, SAS, AAS, ASA?
Answer:
Yes, congruent by SAS
Step-by-step explanation:
We already know two sides and two angles are congruent, and since the triangles share the same congruent side with an angle in between both pairs of congruent sides, then yes it is congruent by SAS.
HELP ME WITH THE ANSWER PLEASE!! HURRY
Answer:
more info needed
Step-by-step explanation:
3x x (7 x x) i don’t get this at all
plzzzzzz help Solve the system by Substitution.
x−4y=−7
−x+2y=3
A(1, 3)
B(1, 2)
C(-1, -3)
D(1, -3)
Answer:
B
Both systems can be sloved by susbituding (1,2)
Step-by-step explanation:
(1)- x−4y=−7
Substitute in the x and y values: 1 - 4 (2) = -7
Multiply the numbers : 1 - 8 = -7
Calculate the difference: -7 = -7
(2) - −x+2y=3
Substitute in the x and y values: -1 + 2 (2) = 3
Multiply the numbers : -1 + 4 = 3
Calculate the sum: 3 = 3
Unit 3 Test ( Similarity ) Find GK
Answer:
not positive but i would say 48
Step-by-step explanation:
Please help! I need help!
Answer:
What grade work is it? I don't really know what it says. Sorry, please can you type it out?
Step-by-step explanation:
Answer:
X is well i do not know but for the other person it says 3 times x = 8/2
Step-by-step explanation:
What is the equation of this line?
Answer:
y= -5/4x + 6
Step-by-step explanation:
y= mx + b
m= -5/4 (rise over run/slope)
b= 6 (y-intercept)
-I hope this helps have a great day!
Answer:
y = -5/4(x)+6
Step-by-step explanation:
to find the equation of this line, we must first find the slope
We can write the equation of this line y = mx + b where m is the slope and b is the y-intercept
m = (y2-y1)/(x2-x1)
m = (-4-6)/(8-0)
m = -10/8
m = -5/4
b is the y intercept which is at 6
So the equation of the line is y = -5/4(x)+6
What is the perimeter of this shaded figure that please somebody respond i need help ?????!!!!!!!!
38
Step-by-step explanation:
2+2+2+2+7+7+10+6= 38
count up all of the sides of the shape then you get your answer :)
using y=-6x what is the value of x if y=42
Answer:
Step-by-step explanation:
Y = - 6x
Putting value of 42
42 = - 6x
42/-6 = x
-7 = x
Answer:
x=-7
Step-by-step explanation:
y=-6x
y=42
use substitution
42=-6x
divide both sides by -6
x=-7