Please help!
For the following system,
3x + y = 8
−x − 2y = −10
if you isolated x in the second equation to use the substitution method, what expression would you substitute into the first equation?
−2y + 10
2y + 10
2y − 10
−2y − 10
Answer:
-2y+10
Step-by-step explanation:
-x - 2y = -10
add 2y to both sides
-x = -10 + 2y OR 2y - 10
divide both sides by -1
x = -2y+10
A gym membership costs $25 per month plus a
membership fee of $50. Which equation represents the
situation?
Answer:
Its B
Step-by-step explanation:
Answer:
y=25x+50
Step-by-step explanation:
She has to pay a fee of 50 and then 25 a month. X represents months since we don't know how many months she plans to have a membership.
i need help!!! will mark brainlist
Alyssa, a grade eight student, was looking through the school newsletter when she saw an ad placed by a local farmer looking for students to pick strawberries. The farmer has offered to pay the students $15.00 for the day plus $3.00 for each quart basket of strawberries they pick. Alyssa decides she wants to earn some extra money and goes out to the farm for one day to pick some strawberries.
For every quart she picks, she adds $ _____
to her total earnings for the day.
How much does Alyssa earn if she picks 0 quarts of strawberries?
$ ____
Answer:
1. She gets $3 per quart she picks.
2. If she picks 0 quartz she will get $15 which is the amount the farmer pays for the day without the bonus money for picking strawberries.
A truck driver earns $21.00 per hour for the first 40 hours worked in one week. The driver earns time-and-a-half, or $31.50, for each hour worked in excess of 40. The piece-wise function below represents the driver wage, w(h), as a function of the hours worked in one week, h. How much money does the truck driver earn in a week if he works 30 hours? *
Answer:
$21 x 30 = 630 (630 the answer)
Step-by-step explanation:
Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans she bought was 6. Which of these systems of equations can be used to determine the number of 15-ounce cans and the number of 28-ounce cans that she bought? Assume x represents the number of 15-ounce cans and y represents the number of 28-ounce cans.
x + y = 6. 15 x + 28 y = 116.
x + y = 6. 28 x + 15 y = 116.
x + y = 116. 15 x + 28 y = 6.
x + y = 116. 28 x + 15 y = 6.
Mark this and return
Answer:
15x + 28y = 116
x + y = 6
Step-by-step explanation:
Answer:
A :)
Step-by-step explanation:
Rewrite the function by completing the square.
g(x)= x^2-x-6
g(x)- __(x+__)^2+___
Thanks :)
Step-by-step explanation:
g(x) = x²- x - 6g(x) = x²- 2*1*1/2x + (1/2)² - (1/2)²-6g(x) = (x - 1/2)² - 6 1/4org(x) = (x - 1/2)² - 25/4Answer:
[tex]g(x) = 1 (x+ -\frac{1}{2} )^{2} + -\frac{25}{4}[/tex]
If triangle JKL~ Triangle MKN, find the value of x
Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{KL}{KN}[/tex] = [tex]\frac{JL}{MN}[/tex] , substitute values
[tex]\frac{32}{12}[/tex] = [tex]\frac{3x-2}{x+1}[/tex] ( cross- multiply )
12(3x - 2) = 32(x + 1) ← distribute both sides
36x - 24 = 32x + 32 ( subtract 32x from both sides )
4x - 24 = 32 ( add 24 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
For the given triangles ΔJKL ≈ ΔMKN, the value of x is, 4
What is similarity of triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"
Given that,
One right angle triangle, ΔJKL
one segment MN which is intersecting sides KJ & KL
ΔJKL has one similar triangle inside, which is ΔMKN
Triangle ΔJKL and ΔMKN are similar,
So, we can say ΔJKL ≈ ΔMKN
And it is known that
for similar triangles, ratio of lengths of sides are equal for similar triangles
so, KN/MN = KL/JL
⇒ (X + 1)/12 = (3X -2)/32
⇒ 32X + 32 = 36X - 24
⇒ 32 + 24 = 36X - 32X
⇒ 56 = 14X
⇒ X = 4
To know more about properties of triangles check:
https://brainly.com/question/8476788
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Rosemary wants to buy a gift for her little brother this month, after she pays her bills. Should she buy a baseball glove for $22.95 or a T-shirt for $13.95? Use mathematics to justify your choice.
Answer:
T-shirt
Step-by-step explanation:
T-shirt because she has to pay bills.
Hope this helps plz hit the crown ;D
What is the difference (4x2 - 12x +6) and (10+ 3x – 2x?)?
The difference of the expression is 6x² - 15x - 4.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
(Number/variable, Math Operator, Number/variable) is an expression.
We have the Expression as
(4x² - 12x + 6) and (10 + 3x -2x²)
Now, simplifying the expression
= 4x² - 12x +6 - (10 + 3x -2x²)
= 4x² -12x+ 6 -10 -3x + 2x²
= 6x² - 15x - 4
Thus, the simplified expression is 6x² - 15x - 4.
Learn more about Expression here:
https://brainly.com/question/14083225
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A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the schools students 32% of them plan to go into general practice. Find the p- value for a test of the schools claim
Answer: 0.1548
Step-by-step explanation:
The P value can be calculated from the value of the test statistic :
H0 : p ≤ 0.28
H1 : p > 0.28
Zstat :
(p - p0) / √((p0(1-p0))/n)
p = 0.32 ; p0 = 0.28 ; n = 130
(0.32 - 0.28) / √((0.28(1 - 0.28))/130)
Zstat = 1.0157490
Zstat = 1.016
Using a 0.05 significance ;
The P value obtained using the p value from z statistic calculator is 0.154815
Which ordered pair gives a solution of the system of equations represented in the graph below?
Answer:
b
Step-by-step explanation:
Click on the volume of this cube
0.18 divided by 0.33
Answer:
I am pretty sure it is 0.54
Answer:
The answer is 0.54. I have included a screenshot that shows the work and how to get 0.54. I hope this helps!
And by the way yes, I do know this is a 1-year-old question but I would like points and I have the answer.
:D
- Your friendly (late) responder
Please Help Me ASAP
what is X
Answer:
Simple!
Step-by-step explanation:
The triangle is obviously a right triangle, meaning, we can use the Pythagorean Theorem to solve for x!
(The Pythagorean Theorem is where [tex]a^2=b^2+c^2[/tex], or the length of the hypotenuse (side opposite to the 90 degree angle) squared is equal to the length of one leg squared plus the other leg squared).
To put it simply:
[tex]x^2=20^2+5^2[/tex]
Now to solve!
[tex]x^2=400+25\\x^2=425\\x=\sqrt{425} \\x=5\sqrt{17}[/tex]
This cannot be simplified further, so that's your answer!
Hope this helps!
Which equation is written in slope-intercept form?
O y = 3x-2
O X= ży+ 8
- 2x + 5y = 12
O 3y = 8x-5
Answer:
The first one
y= 3x-2
Step-by-step explanation:
Which pair of triangles MUST be similar?
A. Triangle 5 has a 25 degree angle and a 75 degree angle. Triangle 6 has a 25 degree angle and a 70 degree angle.
B. Triangles 1 and 2 each have a 40 degree angle.
C. Triangle 7 has a 40 degree angle and a 35 degree angle. Triangle 8 has a 40 degree angle and a 105 degree angle.
D.Triangles 3 and 4 are both scalene. Each have a 65 degree angle.
Answer:
C
Step-by-step explanation:
The total measurement of a triangle is 180
Triangle 7 has a 40 degree angle and 35 degree angle.
40+35=75
180-75=105
Triangle 8 has the same angle that is 40 degrees and 105. And if you do the same math, you would get 35 for the missing angle of triangle 8
there are 50 kilometers in 31 miles. which representation does NOT show the same relationship
Answer: D
Step-by-step explanation: did you get it right
Answer:
D
Step-by-step explanation:
A. what is the product of 4 and b?
B. The sum of 1/5 of m and 2/5 of m
Answer:
Step-by-step explanation:
a) 4 * b = 4b
B)
[tex]\frac{1}{5}m+\frac{2}{5}m=\frac{1+2}{5}m\\\\=\frac{3}{5}m[/tex]
Thanks to who ever helped me with this question!
Answer:
61
Step-by-step explanation:
a triangles angles equal 180 so 180-10-19-90 = 61
Answer:
-9
Step-by-step explanation:
Since the opposite angles of both sides are congruent we know that the sides must be congruent also. Therefore, to solve for x we can set them equal to each other.
So the equation will be x+19=10, to solve we must isolate the variable.
First, subtract 19 from both sides
x+19-19=10-19
Then, simplify
x=-9
Four friends went to the movies. Each purchased an order of nachos for n dollars and a medium-sized soft drink for s dollars. Write the expression that represents the total amount of money (in dollars) the four friends spent at the concession stand.
word problem help
Answer: 4(N+S)=$ or 4N+4S=$
why are the properties of equality important in solving equations?
Step-by-step explanation:
As equations get more complex it is important to use properties of equality to isolate the variable and solve the equation. Here are the properties of equality you need to isolate terms and solve equations. The Subtraction Property of Equality is used when you have an equation with addition in it
Bob and Nina make dog leashes. Bob can make 7 leashes in 2 hours and Nina can make 4 leashes in 1 hour.
Enter an equation that can be used to find the number of hours, t, it takes Bob and Nina to make 60 leashes together. Enter your response in the first response box.
Enter the number of hours, t, it takes Bob and Nina to make 60 leashes together. Enter your response in the second response box.
Answer:
8 hours
Step-by-step explanation:
!:!
The graph of a proportional relationship is a straight line passing through the?
Answer:
Origin
Step-by-step explanation:
Here you go~
The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -6<= x <= 6?
Answer:
- 1
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 6, 6 ]
From the graph
f(b) = f(6) = - 2
f(a) = f(- 6) = 10 , thus
average rate of change = [tex]\frac{-2-10}{6-(-6)}[/tex] = [tex]\frac{-12}{12}[/tex] = - 1
step by step explanation:
I don't know
sorry really wanna help
Mr. Olivera wants to buy a bicycle that costs $184 for each of his two children. He plans to save the $9 he usually spends for lunch to buy the bikes. About how many days must he save his lunch money to have enough to buy the bicycles? Will the actual number of days be more or less than the estimate?
Answer:
19 days its 180 y 20 days its 189
(Hope this helped in some kind of way and can i get brainlest? okay bye have a blessed day!)
The actual number of days required to buy a bicycle will be 20 days.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Mr. Olivera wishes to purchase a $184 bicycle for each of his two children. He intends to save the $9 he normally spends on lunch to purchase the bikes.
Let 'x' be the number of days. Then the inequality is given as,
9x ≤ 184
Simplify the equation, then we have
9x ≤ 184
x ≤ 184 / 9
x ≤ 20.44
The actual number of days required to buy a bicycle will be 20 days.
More about the inequality link is given below.
https://brainly.com/question/19491153
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What is the equation of the line that has a slope of 5 and passes through the point (-4, 10)? * (20 Points)
hey guys happy holidays! any help is appreciated :)
9514 1404 393
Answer:
yes
Step-by-step explanation:
The given line of reflection is a perpendicular bisector of every segment joining any figure point with its image. Hence the given image trapezoid is a reflection across the line of the given pre-image trapezoid.
__
For example, Line f is the perpendicular bisector of AA'.
Please i will give brainlist
What is he equation of the line passing through the points ( 2/5,19/20 ) and (1/3,11/12) in slope-intercept form?
Answer:
the second answer
y=1/2x+3/4
Which is the solution to the equation 8.25 + one-fourth w = 10.75? Round to the nearest hundredth if necessary.
Answer:
w=10
Step-by-step explanation:
8.25+1/4w=10.75
8.25+0.25w=10.75
0.25w=10.75-8.25
0.25w=2.5
w=10
I hope this helps
Answer:
C/10
Step-by-step explanation:
The line that passes through (2, 6) and (9, 4)
Answer:
If you want to find the slope the answer is (2,7)that's the final answer
