Answer:
(3, -1)
Step-by-step explanation:
Given
4x + 5y = 7y = 3x - 10Subbing the value of y
4x + 5(3x - 10) = 74x + 15x - 50 = 719x = 57x = 3y = 3(3) - 10y = 9 - 10y = -1Solution is (3, -1)Answer:
x = 3y = -1Solution: (3, -1)
Step-by-step explanation:Given equations:
[tex]4x + 5y = 7[/tex][tex]y = 3x - 10[/tex]Step-1: Reorganize the equations with "y" on the L.H.S
[tex]\rightarrow \left \{ {{4x + 5y = 7} \atop {y = 3x - 10}} \right.[/tex]
[tex]\rightarrow \left \{ {{5y = 7 - 4x} \atop {y = 3x - 10}} \right.[/tex]
[tex]\rightarrow \left \{ {{5y = 7 - 4x} \atop y =-10 + 3x}} \right.[/tex]
Step-2: Make the x-variables the same on both equations
[tex]\rightarrow \left \{ {{3(5y = 7 - 4x)} \atop 4(y =-10 + 3x)}} \right.[/tex]
[tex]\rightarrow \left \{ {{15y = 21 - 12x} \atop 4y =-40 + 12x}} \right.[/tex]
Step-3: Add the equations
[tex]\rightarrow (15y + 4y) = (21 - 40) + (-12x + 12x)[/tex]
[tex]\rightarrow 19y = -19[/tex]
Step-4: Divide both sides by 19
[tex]\rightarrow \dfrac{19y}{19} = \dfrac{-19}{19}[/tex]
[tex]\rightarrow y = -1[/tex]
Step-5: Substitute the value of y into any equation
[tex]\rightarrow y = 3x - 10[/tex]
[tex]\rightarrow -1 = 3x - 10[/tex]
Step-6: Simplify the equation
[tex]\rightarrow -1 + 10 = 3x[/tex]
[tex]\rightarrow9= 3x[/tex]
Step-7: Divide 3 both sides
[tex]\rightarrow \dfrac{9}{3} = \dfrac{3x}{3}[/tex]
[tex]\rightarrow x = 3[/tex]
(Optional) Step-8: Convert the solution(s) into (x, y) form
[tex]\rightarrow (x, y) \rightarrow (x = 3; y=-1) \rightarrow (3,-1)[/tex]
Thus, the value of x and y is 3 and -1. The solution is (3, -1).
Mr. Davis took his car to the repair shop. His total bill was $253. He was charged $48 for parts, and $5 for shop materials.
The rest of the charge was for labor. If it took four hours to fix the car, how much does the shop charge per hour for labor?
Answer:
33.333333
Step-by-step explanation:
(253-(48+5))/6
(253-53)/6
200/6
33.333333
Events A and B are overlapping.
P(A) =4/11 ; P(B) =3/11 , P(A and B) = 2/11.
Find P(A or B).
7/11
5/11
8/11
9/11
5/11 is the final answer.
P(A) = 4/11P(B) = 3/11When events are overlapping
formula: P(A or B) = P(A) + P(B) - P(A and B)
=======
P(A or B) = 4/11 + 3/11 - 2/11
P(A or B) = 7/11 - 2/11
P(A or B) = 5/11
Answer:
5/11
Step-by-step explanation:
Given:
P(A) = 4/11P(B) = 3/11P(A ∩ B) = 2/11We can construct a Venn diagram to help answer this question (see attached).
Place 2/11 in the overlapping part. Then calculate the remaining probabilities:
P(A) - P(A ∩ B) = 4/11 - 2/11 = 2/11
P(B) - P(A ∩ B) = 3/11 - 2/11 = 1/11
P(A' ∩ B') = 1 - 5/11 = 6/11
So P(A ∪ B) = 2/11 + 2/11 + 1/11 = 5/11
11
50
11 What is the solution to 8x - 3(2x - 4) = 3(x - 6)?
-
No solution
2
30
FO
EXTD 10:36
acer
x=30
Solution:First, use the distributive property:8x-3(2x-4)=3(x-6)8x-6x+12=3x-18Simplify:2x+12=3x-182x-3x=-12-18-x=-30x=30Hope it helps.
Do comment if you have any query.
Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 4 ft^2 and the prism stands 2.4 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 32 ft^2.
(a) Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping. How much roping does he purchase?
(b) Leo plans to add gold leaf to the sides of the stand but not to the two bases. What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number.
Answer:
See below ~
Step-by-step explanation:
(a)
Formula
Surface Area = (2 x Base Area) + (Perimeter x Height)Solving
32 = 2 x 4 + (P + 2.4)P + 2.4 = 4P = 1.6 ftLength of rope = 5P5 x 1.6Length of rope = 8 feet(b)
Slant height = √(2.4)² + (1)² = √5.76 + 1 = √6.76 = 2.6 feetArea of a side = slant height x lengthArea of a side = 2.6 x 2 = 5.2 square feetTotal area of sides = 5.2 x 2 = 10.4 square feet% (Area) = 10.4/32 = 0.32532.5%33%Help me please thanks
12v + 8
hope it helps...!!!
Need help with this one
The unit rate of the cost of different weight of pistachios as shown on the graph is $1.25 per pounds.
What is unit rate?A unit rate is a rate where the second quantity is one unit . Therefore, the unit rate of the linear graph can be found as follows;
(2, 2.5)(4, 5)
unit rate = y₂ - y₁ / x₂ - x₁
x₁ = 2
x₂ = 4
y₁ = 2.5
y₂ = 5
unit rate = 5 - 2.5 / 4 - 2 = 2.5 / 2 = $1.25 per pounds
learn more on unit rate here: https://brainly.com/question/11258929
-345-234
Show how you worked it out
Answer:
-579
Step-by-step explanation:
-345-234-345-234=-579 subtract numbers= -579Which statement is most likely to be true? the scores of mrs. scott’s class are the closest to the class mean. the scores of mr. phan’s class are the closest to the class mean. the scores of mrs. jones’s class are the closest to the class mean. the scores of mrs. rijo’s class are the closest to the class mean.
Answer:
The scores from Mrs. Rijo’s class are the closest to the class mean.
Step-by-step explanation:
Just took the test
What's the domain of this function graph?
A)
[0,∞)
B)
(–∞, 0)
C)
[1,∞)
D)
(–∞,∞)
Answer:
A) [0,∞)
Step-by-step explanation:
The domain is the horizontal extent of the graph.
__
The given graph goes no farther left than x=0. It extends to infinity to the right (as signified by the arrow pointing right).
The domain is [0, ∞).
Answer:
/
Step-by-step explanation:
the sum of 10 observation is 110 then the mean is
A)11
B)10
C)7
D)5
Answer:
11
Step-by-step explanation:
[tex]since \: mean = \frac{sum \: of \: observations}{number \: of \: observations} \\ mean = \frac{110}{10} = 11 \\ therefore \: the \: mean = 11[/tex]
what is (4,5) rotated 90 degrees clockwise?
(pls help)
Answer:
(5,-4)
Step-by-step explanation:
Pls help me I need the answer with how u did it pls
and the quis Solve for x, then find the measure of the angle given
Answer:
Step-by-step explanation:
finding x°:
since 83° and x° are alternate angles:
x° = 83°
also angleABC is x°
What are the solutions of -x2 + 4x = x - 4?
O-5 and 0
0-5 and -1
0-1 and 4
O and 4
Answer:
-1 and 4
Step-by-step explanation:
first you bring the terms on the right side to the left and you get:
-x^2 + 3x + 4 = 0
then you divide both sides of the quadratic by -1:
x^2 - 3x - 4 = 0
then you factor the equation:
(x + 1)(x - 4) = 0
for any product to be zero, one of the factors must be zero. hence, either x + 1 or x - 4 can be zero. so x can be -1 and//or 4.
have a great day <3
(0, 5) and (1, 7) fall on a particular line. What is its equation in slope-intercept
Answer:
The answer is 2x+5.
Step-by-step explanation:
need some help with the question in the image
Cheers
Answer: 1.45litres
Step-by-step explanation:
250ml = 0.25litres
1.2+0.25= 1.45
ans is 1.45litres
Penny sells knitted scarves for $12 each. The cost of the supplies to make each scarf is x dollars.
How much profit will Penny make if she sells y scarves?
A. y(12 – x)
B. 12(x – y)
C. y(x – 12)
D. x(12 – y)
Answer:
A. y(12 – x)
Step-by-step explanation:
Solve the right triangle. Round your answers to the nearest tenth
Solve the following please:
Answer: 161
[3×2^5+13×(−2)]+7[8−(4−9)]
Calculate 2 to the power of 5 and get 32.
3×32+13(−2)+7(8−(4−9))
Multiply 3 and 32 to get 96.
96+13(−2)+7(8−(4−9))
Multiply 13 and −2 to get −26.
96−26+7(8−(4−9))
Subtract 26 from 96 to get 70.
70+7(8−(4−9))
Subtract 9 from 4 to get −5.
70+7(8−(−5))
The opposite of −5 is 5.
70+7(8+5)
Add 8 and 5 to get 13.
70+7×13
Multiply 7 and 13 to get 91.
70+91
Add 70 and 91 to get 161.
161
Answer:
Step-by-step explanation:
Use PEDMAS
[3 *2⁵ + 13*(-2) ] + 7[8-(4-9) ] = [3*2⁵ + 13*(-2)] +7[ 8 - (-5) ]
{calulate the inner most parentesis (4- 9 = -5)}
= [3*32 + 13*(-2) ] + 7* [ 8+5]
{Find the exponent 2⁵ = 32}
= [ 96 + (-26) ] + 7* 13
{Here 3 & 32 aree multiplied & 13 and (-2) are multiplied and 8 is added to 5}
= 70 + 91
= 161
Solve the following:
-7^2 = -(7 x 7) = -49
---Because the negative is on the outside and there are no parenthesis, the product will be negative
-49 - - 1 = -49 + 1 = -48
---Subtracting a negative is the same thing as adding a positive!
Answer: -48
Hope this helps!
2 (y+5) +3y=25 I need to try to get th3 variable by itself
When a bill is not paid by the due date, a late fee is added each month until the bill is paid. The values in the table represent the total amount due, in dollars, for each month that a payment remains overdue. Using x for the number of months overdue and y for the total amount due, in dollars, construct a linear function that describes the relationship between the number of months the bill is overdue and the total amount due. Enter the equation of the function in the box, and use paper to show your work
Bill + (Late fee x months) = Final bill
FunctionsGiven that when a bill is not paid by the due date, a late fee is added each month until the bill is paid, to construct a linear function that describes the relationship between the number of months the bill is overdue and the total amount due you must perform the following calculation:
Bill + (Late fee x months) = Final billThus, if the bill is $1000 and the late fee is $50 per month, and it takes 4 months to regularize the debt, the function would apply as follows:1000 + (50 x 4) = X1000 + 200 = X1200 = XLearn more about functions in https://brainly.com/question/12431044
Answer:Bill + (Late fee x months) = Final bill
Step-by-step explanation:
please help me i will give brainlest if the correct answer
PLS HELP ME ASAP! IT IS 80 POINTS WORTH! Florida has 67 counties and Texas has 254 counties. The mean population for the state of Florida by county is 291,834 with a standard deviation of 467,012.03, and the median is 107,056. The mean population for the state of Texas by county is 104,127 with a standard deviation of 374,012.2261, and the median is 18,293.
Some of the data for both states is shown. A business is moving from Texas to Florida. As a result of the move 8,193 people move from the largest Texas county to the smallest Florida county, in terms of population. Mark the population statistics that will be affected with this population change found in the chart below with "check". Does the IQR for Florida increase, decrease or stay the same?
Does the Mean of Texas increase, decrease or stay the same?
Does the median of FL increase, decrease or stay the same?
Does the standard deviation of Texas increase, decrease or stay the same?
Answer:
The mean of texas will decrease. The median of FL will increase. The standered deviation will stay the same.
Step-by-step explanation:
Answer:
The mean of texas will decrease.
The median of FL will increase.
The standard deviation will stay the same.
IQR for Florida's is 310,349 and Texas's is 42,369.
Step-by-step explanation:
IQR iss Q3-Q1
Can someone help me please!!
Answer:
40°
Step-by-step explanation:
The red 75° curve means that both angles must sum up to 75°The question provides two angles 35° and n°Using math, you can do:n° + 35° = 75°Subtracting 35° from both sides of the equation:n° = 75° - 35° = 40°Answer:
40°
Step-by-step explanation:
if the measurement of the two angles combined is 75 and one of the angles is 35, we can subtract 35 from 75 to get 40, which should be the answer for n, and you can check it by adding 40 and 35 to get 75, the total of both angles
A cafeteria is in the shape of a rectangle. The length of the rectangle is four times its width. The area of the cafeteria is 14,800 square feet. What is the length of the cafeteria? Round to the nearest foot.
Answer:
243 feet
Step-by-step explanation:
Answer:
243 i think please
brainlist
Step-by-step explanation:
hi
Find the perimeter of the isosceles triangle with points A (0,0); B (3,3); and C (6,0)
Answer:
use distance formula for the sides of the triangle
7. Elise sells her framed drawings
She has 4 prints of one drawing
and 6 prints of another drawing. If
she has 3 frames, how many more
frames does she need?
Which of the following represents an exponential relationship?
A
(1,5),(2,10),(3,15)(1,5),(2,10),(3,15)
B
(2,9),(3,27),(4,81)(2,9),(3,27),(4,81)
C
(2,4),(3,9),(4,16)(2,4),(3,9),(4,16)
D
(5,15),(6,18),(7,21)
Answer:
(C)
Step-by-step explanation:
2 power 2 = 4
3 power 2 = 9
4 power 2 = 16
Pls help with this I started it but I don't know what to do next
Answer:
There is nothing there lol, If you attach something i may be able to help :)
Step-by-step explanation:
Find the volume of this prism
Answer:
324 cubic cm
Step-by-step explanation:
triangular prism
base*width*height/2
9x6x12/2
=9x6x6
=54x6
=324
Answer:
V = 324 cm³
Step-by-step explanation:
V = lwh/2
V = (6 · 12 · 9)/2
V = 648/2
V = 324 cm³
Hope this helps and God bless!