Answer:
[tex]4x - 22 = 9x + 2 - 8x \\ 4x - 22 = x + 2 \\ 4x - x = 2 + 22 \\ 3x = 24 \\ x = 8[/tex]
Are the following systems equivalent? How do you know?
2x+y= -4 7x+7y=0
5x+6y= 4 4x+2y= -4
Answer:
No, they are not equivalentStep-by-step explanation:
Are the following systems equivalent? How do you know?
For the equation;
2x+y= -4 ... 1
7x+7y=0 ... 2
Let us find the solution of the equation;
From 1;
y = 4 - 2x
Susbtitutw into 2;
7x + 7(4-2x) = 0
7x + 28 - 14x = 0
-7x + 28 = 0
7x = 28
x = 28/7
x = 4
Recall that y = 4-2x
y = 4 - 2(4)
y = 4 - 8
y = -4
The solution is (4, -4)
For the other equations;
5x+6y= 4 ... 1 * 1
4x+2y= -4 ..... 2 * 3
___________________
5x+6y= 4
12x+6y= -12
Subtract
5x-12x = 4 + 12
-7x = 16
x = -16/7
Since the solutions to both simultaneous equations are different, hence the systems of equations are not equivalent.
What is the slope-intercept of the line containing the point (-5, 1) and having the slope 7
Can someone pls help me
Answer:
Total amount of fuel =200,000 litres
Amount of fuel used = 130,000 litres
Percentage of the fuel capacity used:
[tex] \frac{130000}{200000} \times 100 = \frac{13}{20} \times 100 = 65\% \\ [/tex]
65% of the fuel is used on this flight.
In triangle WXY, the measure of angle Y=90 degrees, XW=89, WY=80, and YX=39. What ratio represents the cosine of angle X?
Answer: [tex]\dfrac{39}{89}[/tex]
Step-by-step explanation:
Given: In triangle WXY,
∠Y = 90°, XW = 89 units, WY = 80 units and YX = 39 units.
According to trigonometry ,
Cosine of A [tex]=\dfrac{\text{side adjacent to A}}{\text{hypotenuse}}[/tex]
From the figure below,
[tex]\text{cosine of } \angle X=\dfrac{YX}{WX}\\\\=\dfrac{39}{89}[/tex]
Hence, required ratio = [tex]\dfrac{39}{89}[/tex]
A bakery makes small batches of bread daily. Each day, the bakery records the amount of flour used the number of loaves of bread made. All loaves are approximately the same size. The table and graph show the bakery’s data for five days.
write an equation that can be used to model the number of loaves of breast, y that can be made from x pounds flour
Use an equation to predict the number of loaves that can be made from 85 pounds of flour show your work or explain your answer
Answer:
The slope of the line would be the constant of proportionality for the line
shown. The point (35, 49) is really close the line which would make the
constant of proportionality 49/35 = 7/5. The equation of the line would be y =
7/5x. The number of loaves of bread from 85 pounds of flour would be
7/5(85) = 119 loaves.
Step-by-step explanation:
A ratio of the rise to a run, or the rise divided by run, is the slope of the line. It denotes how steep a line would be in the coordinate plane.
Slope calculation:This line's slope would be the proportional constant.This point (35, 49) is extremely near to the lines that would result in the linear constant [tex]\frac{7}{5} = \frac{49}{35}[/tex] , the line's equation is [tex]y = \frac{7}{5x}[/tex]. Using 85 pounds of flour, Calculate the loaves of bread that may be made [tex]\frac{7}{5(85)} = 119[/tex] loaves.Therefore, the equation was used to forecast the number of loaves that could be created from 85 pounds of flour, and the result was 119 loaves.Find out more about the slope here:
brainly.com/question/3605446
the figure below is made of a two identical triangular prims. What is the volume of the figure
Answer:
[(6x5)÷2]x10x5x2=750
3
Which graph shows that Cindy reads about
4
of the time while riding in the car?
DIPO
Hours Reading
1
$
$
2 3
4
Hours Riding in Car
2
Hours Riding in Cor
+
Hours Reading
Hours Reading
1
5
2
4
Hours Riding in Car
5
2
Hours Riding in Cor
Answer:
The correct graph is the first graph on the top left corner amongst the options
Step-by-step explanation:
The graph that shows that Cindy reads about 3/4 of the time while riding the car is given by the following relation;
Let 't' represent the time Cindy spend riding the car
Therefore, we are given that
The time Cindy spend reading = 3/4·t
Therefore, when Cindy rides the car for t = 4 hours, the time Cindy spend reading = 3/4·t = 3/4 × 4 = 3 hours
The coordinates of the point on the graph will therefore, be (4, 3)
Therefore, when the y-coordinate of the graph )the time Cindy spends reading) = 3, the x-coordinate of the graph (the time Cindy spends driving) = 4
Please find, the correct graph attached here, created with Microsoft Excel which is equivalent to the first graph on the top left corner amongst the options
5x + 3y = 38
2x+3y=13
y=?
x=?
Answer:
The solution to the system of equations is:
[tex]x=\frac{25}{3},\:y=-\frac{11}{9}[/tex]
Step-by-step explanation:
Given the system of equations
[tex]5x + 3y = 38[/tex]
[tex]2x + 3y = 13[/tex]
solving the system of equations
[tex]\begin{bmatrix}5x+3y=38\\ 2x+3y=13\end{bmatrix}[/tex]
Multiply 5x+3y=38 by 2: 10x+6y=76
Multiply 2x+3y=13 by 5: 10x+15y=65
[tex]\begin{bmatrix}10x+6y=76\\ 10x+15y=65\end{bmatrix}[/tex]
so
[tex]10x+15y=65[/tex]
[tex]-[/tex]
[tex]\underline{10x+6y=76}[/tex]
[tex]9y=-11[/tex]
now solving 9y = -11 for y
[tex]9y=-11[/tex]
divide both sides by 9
[tex]\frac{9y}{9}=\frac{-11}{9}[/tex]
Simplify
[tex]y=-\frac{11}{9}[/tex]
For 10x+6y=76 plug in y = -11/9
[tex]10x+6\left(-\frac{11}{9}\right)=76[/tex]
subtract 6(-11/9) from both sides
[tex]10x+6\left(-\frac{11}{9}\right)-6\left(-\frac{11}{9}\right)=76-6\left(-\frac{11}{9}\right)[/tex]
[tex]10x=\frac{250}{3}[/tex]
Divide both sides by 10
[tex]\frac{10x}{10}=\frac{\frac{250}{3}}{10}[/tex]
[tex]x=\frac{25}{3}[/tex]
Therefore, the solution to the system of equations is:
[tex]x=\frac{25}{3},\:y=-\frac{11}{9}[/tex]
PLEASE HELP IF U CAN, I'll give brailiest if you help
Shayla sells renters' insurance. Her company recently changed how it pays employees.
Under the old system, she received a 15% commission on each insurance policy that she
sold. Now there is a new system where she receives $750 for each insurance policy she
sells. If she sells a $5,000 insurance policy, how much more or less of a commission does
she make under the new system?
A.$50 less
B.$112.50 more
C.$112.50 less
D.The commissions are the same.
Answer:
100 + 15 = 115
5000/100 X 115 = 5750
5750 - 5000= $750
answer D commission is the same
What is the solution to this equation?
–5(s – 30) = –10
s = –4
s = 8
s = 28
s = 32
Answer:
s = 32
Step-by-step explanation:
-5 (s - 30) = -10
Apply distributive property.
-5s + 150 = -10
We need to get "s" alone. By getting it alone, subtract 150 from both sides.
-5s + 150 - 150 = -10 - 150
-5s = -160
Wait a second, there is still a -5 on the s. We need to get s alone. Divide both sides by -5 to get s alone.
-5/-5s = -160/-5
s = 32
s = 32 is your answer AKA the last one. I hope this helps! Let me know if I got anything wrong or if you need any more help.
please help, thanks if you do!
Answer:
6
Step-by-step explanation:
it's given that x=1
y=-(1)+7
y=-1+7
y=6
Answer:
y = 6
Step-by-step explanation:
Given (1, y ) is on the graph of y = - x + 7
Substitute x = 1 into the equation and evaluate for y
y = - 1 + 7 = 6
Then (1, 6 ) lies on the graph
OMG ANSWER QUICK I WILL GIVE BRAINLYEST
Answer:
1/4
Step-by-step explanation:
K.C.F( keep, change, flip) hope this helps
Carrie borrowed $800 dollars from her aunt at 8% interest per year. If she paid her a total of $448 in simple interest, how many years did it take her to pay her aunt back?
Answer:
7 years
Step-by-step explanation:
800/100= 8 8x8=48
448/48=7
sorry if im wrong i tried
if i am wrong then the answer is 6 but try the 7 years choice first
factorize this question
2x²-3x-5
Answer:
(2x−5)(x+1)
Step-by-step explanation:
Factor 2x^2−3x−5
2x^2−3x−5
=(2x−5)(x+1)
38 points please help I will give bairnleast
Answer:
i believe the fist one is a and second is b
Step-by-step explanation:
lol hope it helped u
Pls show workings!!!!!
Write an inequality and solve.
15.) Sam has $25 and plans on saving $15 a week until he has at least $150. Write an inequality
to represent this scenario then find how long Sam needs to save.
Answer:
25 + 15n ≥ 150
Step-by-step explanation:
The term at least mean the amount saved is greater than or equal to 150
Let the number of weeks he intends to save be n
Amount saved after n weeks without the plan is:
15n
Add plan amount
= 25 + 15n
Add inequality
25 + 15n ≥ 150
The shelter buys food for the animals in large quantities to save on cost. The 80 cans of cat food currently on hand were purchased for $124.00. What was the unit cost or cost per can of cat food?
$__ per can
Anyone know the answer?!
Answer:
Quotient Rule
Step-by-step explanation:
Your dividing so its quotient. Product is multiplication.
Please help due ASAP
Show workings
Answer:
x=52
Step-by-step explanation:
since its an isosceles triangle, both sides are to have the same length.
so x+10+x+10+3x=180(all angles added in a triangle gives 180)
5x+20=180
5x=180-20
5x=160
x=160/5
x=52
PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASE
Answer:
B. 63
Step-by-step explanation:
Romeo will roll a 6-sided number cube, numbered 1-6, twice. What is the probability of rolling an odd number on the 1st roll and then the number 4 on the 2nd roll?
What is 4.7 x 10 to the power of -3 equal to?
Answer:
0.0047
Step-by-step explanation:
there is no step by step explanation to this
It would be equal to 0.0047!
Factorise (x + y)^2 + 3(x + y)
=(x+y) [(x+y) +3]
=(x+y) (x+y+3)
(x + y) (x + y+3) is the factorized form of (x + y)² + 3(x + y)
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The given equation is (x + y)² + 3(x + y)
We know that (a + b)²=a²+b²+2ab
Similarly (x + y)²=x²+y²+2xy
Substitute this in above equation
x²+y²+2xy+3(x + y)
x²+y²+2xy+3x+3y
Factorising it we get
(x + y) (x + y+3)
Hence, (x + y) (x + y+3) is the factorized form of (x + y)² + 3(x + y)
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ2
The store rents wigs by the hour. He spent $40 to rent a wig for 8 hours. Write an equation to represent the relationship.
40 divided by 8 = 5
Mark Me Brainliest Please
The answer is not A or B
Answer:
C) 4
Step-by-step explanation:
Arcs on one side of the diameter adds upto 180°.
Therefore,
[tex](2 + 17x) \degree + 54 \degree + 56 \degree = 180 \degree \\ \\ (2 + 17x) \degree + 110 \degree = 180 \degree \\ \\ (2+ 17x) \degree = 180 \degree - 110 \degree\\ \\ (2 + 17x) \degree = 70 \degree \\ \\ 2 + 17x = 70 \\ 17x = 70 - 2 \\ \\ x = \frac{68}{17} \\ \\ x = 4[/tex]
Answer:
Choice C) 4
Step-by-step explanation:
You can do this in multiple different ways but I will do it in the way I believe will be the fastest.
So since we already know everything on one side of the line, we can use that to find x. The line is 180° and since the angles are on the line we know that they will all add up to 180.
For this we will need an equation:
[tex]2+17x+54+56=180[/tex]
Now we add the like terms:
[tex]112+17x=180[/tex]
Subtract the 112 on both sides:
[tex]17x=68[/tex]
Divide the 17 on both sides:
[tex]x=4[/tex]
(1) Find the area of minor sector AOB
(2) Find the perimeter of the circle
Answer:
to find answers we first need the radius , in this case we find it using arc length
arc length = [tex]\frac{115}{360}*2\pi r[/tex]
18.07=[tex]\frac{115}{360}*2\pi r[/tex]
18.07=[tex]\frac{230\pi r}{360}[/tex]
18.07x360=[tex]230\pi r[/tex]
r=[tex]\frac{18.07*360}{230\pi }[/tex]
r=9cm
1) area of minor sector= [tex]\frac{115}{360}*\pi r^{2}[/tex]
=[tex]\frac{115}{360}*\pi* 9^{2}[/tex]
= 81.29[tex]cm^{2}[/tex]
2) perimeter of the circle is the same as its circumference which is [tex]2\pi r[/tex]
circumference=[tex]2\pi r[/tex]
= [tex]2*\pi *9[/tex]
=56.55cm
Step-by-step explanation:
A company sells floats for children. An equation that models their profit is P=4x-10,000 , where x is the number of floats sold.
If 5,000 floats are sold, what is the company's profit?
Answer:
P = $10,000
Step-by-step explanation:
The equation modeling a company's profit is P = 4x - 10000.
Substitute x for 5,000.
P = 4(5,000) - 10,000
P = 20,000 - 10,000
P = 10,000
The company's profit will be $10,000 if 5,000 floats are sold.
Last week a Levi's sweatshirt cost was $60. Today the same sweatshirt costs $33. What is the percent change
Answer:
45%
Step-by-step explanation:
✓Change in price= ($60 - $33)
=$27
✓percent change in price= change in price/ original price ×100%
✓percent change in price= ($27/$60) × 100%
= 0.45×100%
=45%
Hence, the percent change is 45%
