Write an equation in slope-intercept form of the line shown. (-4,0) and (1,-5)
The slope intercept form is y = -x - 4
To find the slope intercept form given a couple of points, start by finding the slope using the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-5 - 0)/(1 - -4)
m = -5/5
m = -1
Now we look for the intercept using slope intercept form, our slope and a point.
y = mx + b
0 = -4(-1) + b
0 = 4 + b
-4 = b
Now we can use those two things top model the equation.
y = -x - 4
ABCD is a rectangle. Which of the following pairs of angles are complementery?
Complementary angles equal 90 degrees.
Since each corner of the rectangle equals 90 degrees, the answer needs the same letter in the middle of each angle.
The correct answer is D, because the letter A is the middle letter of each angle.
John rents a car for $85 a week plus $0.26 per mile.
How far can he travel on a budget of $215?
Multiplication using the distributive property practice Hannah homework lesson 25 chapter tonight P 91 question number two in the back
Solve out the actual multiplication problem: 18 x 5 = 90
So you can see that the final answer is 9 tens.
hope that helps :)
Solve the equation 4c2 + 7c – 5 = 0 using the quadratic formula
4c2 + 7c – 5 = 0 a=4 b=7 c=-5
x = [-b +-sq root (b^2 -4ac)] / 2a
x = [-7 +-sq root(7^2 -4*4*-5)] / 2*4
x = [-7 +-sq root(49 + 80)] / 8
x = [-7 +-5.5677643628] /8
x1 = 0.544727125
x2 = -2.294727125
Your cousin gave you $9 to buy a present with.
Answer,
9/3 = 3
3 x 5 = 15
15
Hope this helps :-)
Apples cost $0.89/pound. What is the constant or proportionality (k)
*(Answer)*= 0.89 is the constant is because no matter what you do you still have to multiply 0.89 to the x values
What percent of his overall bill did beau save?
Original Price: $205
Price after discounts: $143.50
33.3333333333333333333333333333333333333% um, you get the point right? 205-143.50 = 61.50
205/61.50 = 3.333333333333333333333333, or 33.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333%
In a triangle the length of two sides are 1.9m and 0.7m. What is the length of the third side, if you know that it should be a whole number?
Answer:
2
Step-by-step explanation:
A side of a triangle is less than the sum of the lengths of the other two sides and is greater than the positive difference of them.
third side is in between 1.2 and 2.6 but it has to be a whole number so its 2
A possible measure of the third side is 2m (to the nearest whole number)
Using the triangular theorem which states that the measure of the third side of the triangle is less than the sum of the other two sides.
Given the length of the other two sides as 1.9m and 0.7m
Taking the sum
Sum of other two sides = 1.9m + 0.7mSum of other two sides = 2.6mSince the length of the third side must e less than the sum, hence the required answer must be less than 2.6m.
A possible measure of the third side is 2m (to the nearest whole number)
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0.2(6x+1)/3.6 = 0.5x/9 please include work
0.2(6x+1)/3.6=0.5x/9
We move all terms to the left:
0.2(6x+1)/3.6-(0.5x/9)=0
We add all the numbers together, and all the variables
0.2(6x+1)/3.6-(+0.5x/9)=0
We get rid of parentheses
0.2(6x+1)/3.6-0.5x/9=0
We calculate fractions
There is no solution for this equation
5. Working with inequalities is similar to working with equations. A solution to a one-variable inequality is a value for the variable that makes the inequality true. The set of all solutions to an inequality is a set of numbers that all make the inequality true. The solution to a one-variable inequality is usually graphed on a number line. Most of the properties of equality can also be used to solve inequalities. The only exception is that when you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality sign to produce an equivalent inequality.
Solve the inequality.
(a) Solve the inequality: .
(b) The manager at Super Fit is not adding members at the rate he wants so he decides to change his fee structure to see if that helps. His new fee structure reduces the one-time registration fee to $24 and raises the monthly fee to $24 a month. Solve the inequality to determine how many months it will take for a member to be paying more under the new plan than the old plan.
A
Should there be some inequality to solve for A? I'll assume not unless you post an edit.
B
We have a problem here as well. We don't know what the old fee structure was. Suppose I just use symbols.
Old cost for one time membership = y
Old monthly fee = x
Number of months = m
x < 24; y > 24
old income < new income
y + xm < 24 + m*24
(y - 24) < m*(24 - x)
(y - 24)/(24 - x) < m The monthly fee went up the registration went down. There was no change in sign for division. M is determined by how big the denominator is on the left. If the change is not much m will take a while to be greater than 1.
Edit
First Equation
5x + 2(x + 2) ≤ - 10 Remove the brackets
5x + 2x + 4 ≤ - 10 Collect the like terms on the left
7x + 4 ≤ - 10 Subtract 4 from both sides
7x ≤ - 10 - 4
7x ≤ - 14 Divide by 7
x ≤ - 14/7
x ≤ - 2 The number line would start with a filled in dot on - 2 and go left from there.
Second inequality
24 + 24x ≥ 150 + 10x Subtract 24 from both sides.
24x ≥ 150 - 24 + 10x Collect like terms on the right
24x ≥ 126 + 10 x Subtract 10x from both sides
24x - 10x ≥ 126 Collect like terms on the left
14x ≥ 126 Divide by 14
x ≥ 126 / 14
x ≥ 9
For part (a), the solution is x > -10. For part (b), the new plan will always be more expensive than the old plan.
Explanation:For part (a) of the question, the inequality given is -2x - 5 < 15. To solve this inequality, we can follow the same steps as we would for an equation. First, we isolate the variable by subtracting 5 from both sides, giving us -2x < 20. Then, we divide both sides by -2. However, since we are dividing by a negative number, we must reverse the inequality sign to >. Therefore, the solution is x > -10.
For part (b) of the question, the inequality given is 24x + 24 < 24x + 49. To solve this inequality, we can start by simplifying the inequality by subtracting 24x from both sides, giving us 24 < 49. Since this is a true statement, it means that the inequality is always true and there are no specific values of x that make it false. Therefore, any number of months will result in the new plan being more expensive than the old plan.
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2
3
-3
-6
Please help
Find x-intercept and y-intercept
x-intercept = 3 → (3, 0)
y-intercept = -6 → (0, -6)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
[tex]m=\dfrac{-6-0}{0-3}=\dfrac{-6}{-3}=2[/tex]
Answer: 2
After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could be used to determine how many rocks George started with?
Answer:
C
Step-by-step explanation:
Which two square roots are used to estimate ✓47
A. ✓25 and ✓36
B.✓25 and ✓49
c. ✓36 and ✓49
d. ✓49 and ✓64
An estimate for - ✓ 72 is
A.- 8.1
b. - 8.5
c. -9.1
d. -9.5
Jeff is an archetict and is drawing the plan for a room addition for a client. If the shape of the room is a cube, what is the volume in cubic feet if the length is 23 feet?
A.539
b.1024
c.12,167
D.32,768
√36 and √49
√36 = 6 and √49 = 7
6 < √47 < 7
Please help me! I will mark the correct answer brainliest!
Answer: The answer is y=-2x+3
Answer:B
Step-by-step explanation:
The step by step solution us given in attachment below.
How to write a comparison sentence 5*9= 45
I think a comparison sentence could be 45 is 5 times as many as 9.
Number 16??? Plz help
Jamahl number is greater
6/8n=18
Answer this because I'm having trouble
the ansewer is n = 14
How can you tell from the graph of Molly's garden on the previous slide that it represents a proportional relationship?
Answer:
A proportional relationship is a relation of the form:
Y = A*X
This means that if we have two variables, X and Y, for each unit that X grows, Y grows A times that.
And notice that the relation:
Y/A = X
is also a porportional relationship
This relationship can be expresed in a graph as a straight line that pases through the origin and has a constant unit of growht (in this case A) that is also called the "slope" of the line.
The graph of a proportional relationship has the same unit rate, is a straight line, and starts at the origin.
I need help with this question please.
Problem: A karate team had 6 girls and 9 boys. Then 2 more girls and 3 more boys joined the team. Did the ratio of girls to boys stay the same?Explain.
The ratio of girls to boys in the karate team remained the same at 2:3, both before and after the new members joined.
Initially, there were 6 girls and 9 boys, creating a ratio of 6 girls to 9 boys, which simplifies to 2:3 when divided by the greatest common divisor, 3. After 2 more girls and 3 more boys joined, the team had 8 girls and 12 boys.
This new ratio also simplifies to 2:3, since both the numerator and denominator can be divided by 4. Therefore, the ratio of girls to boys did not change after the new members joined the team; it remained the same at 2 girls for every 3 boys.
If function f is defined by f(x)=2/3-4 what is f(-18)
Gotcha!
Since there is no variables listed, I'll solve it both ways. :-)
f(-18)=2/3(-18)-4
Multiply the fraction by negative 18!
f=-12-4
answer: f=-16
If it's this way then it goes like this:
f(-18)=2/3-4(-18)
f=2/3+72
f=218/3 or f=72.66666..... Rounded: 72.7
find two consecutive integers whose sum is 93. (Show work)
You are looking for three consecutive integers whose sum is 93. First, divide 93 by 3 and get 31. Go one above 31 and one below. You get 30, 31 and 32 which sum to 93.
What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42 degrees
Isosceles triangle means both base angles are the same. SO,
42+42= 84
a triangle has 180 degrees. 180-84=96
the vertex angle is 96 degrees
The base angles of an isosceles triangle are equal.
The vertex angle is: 96 degrees
The given parameters are:
[tex]Base = 42[/tex]
So, we have:
[tex]Vertex + Base + Base = 180[/tex] --- sum of angles in a triangle
Substitute known values
[tex]Vertex + 42+42 = 180[/tex]
[tex]Vertex + 84 = 180[/tex]
Collect like terms
[tex]Vertex = -84 + 180[/tex]
[tex]Vertex = 96[/tex]
Hence, the vertex angle is: 96 degrees
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central subs made 27 sandwiches using 12 pounds of turkey.how much turkey was used per sandwick?
27*12= 324 pounds of turkey
Help please !!! Oh
Select all the equations where m= 4 is a solution
Choose 3 answers:
A) 13 = 9 + m
B)7- m = 3
C) 15 = 11m
D) 5 = m + 2
E) 20 divide m =5
Answer:
A, B, E
Step-by-step explanation:
A) 13=9+m
m= 13-9
m=4 ✔️
B) 7-m =3
m= 7-3
m=4 ✔️
C) 15= 11m
15=11*4
15≠44
D) 5= m+2
If m=4 therefore
5≠4+2
5≠6
E) 20 divide m = 5
20/4 = 5
therefore, m=4 ✔️
By substituting m=4 into each equation, we find that options A) 13 = 9 + m and E) 20 divided by m = 5 are the correct equations where m=4 is a solution.
Explanation:In mathematics, specifically algebra, we can solve and check equations by plugging in values. You are asked to find the equations where m = 4 is a solution.
Let's substitute m with 4 in each equation:
A) 13 = 9 + m becomes 13 = 9 + 4. Hence, 13 = 13 which is true. B) 7- m = 3 becomes 7 - 4 = 3 so it is incorrect because 3 is not equal to 7 - 4. C) 15 = 11m becomes 15 = 44 which is incorrect. D) 5 = m + 2 becomes 5 = 4 + 2 which is incorrect because 5 is not equal to 6. E) 20 divided by m = 5 becomes 20 divided by 4 equal to 5. So, 5 = 5 is correct.Therefore, the equations where m=4 is a solution are A) 13 = 9 + m and E) 20 divided by m = 5.
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62 is divisible by which of the following numbers
A. 1, 3, 31, 62
B. 1, 2, 3, 31
C. 1, 4, 16, 62
D. 1, 2, 31, 62
PLEASE HELP! :D
Answer:
D.
Step-by-step explanation:
There are 62 divisible by the numbers 1, 2, 31, and 62 which is the correct answer that would be an option (D).
What is the divisibility rule?The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.
For example, the sum of the digits should be divisible by 3
⇒ 474 : (4+7+4=15, and 15÷3 = 5)
This number is divisible by 3
To determine whether 62 is divisible by which of the following numbers
A. 1, 3, 31, 62
Here 62 is not divisible by 3
B. 1, 2, 3, 31
Here 62 is not divisible by 3
C. 1, 4, 16, 62
Here 62 is not divisible by 4 and 16
D. 1, 2, 31, 62
Here 62 is divisible by 1, 2, 31, and 62
Therefore, the correct answer would be an option (D).
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Jaycie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn’t have a membership, so she pays $8.25 each movie she sees. How many movies would they have to see in a year in order to pay the same amount that year?
What you would have to do for this problem is set up an equation for a year and equal them out. The equation would be 27+6x = 8.25x.
X = each visit to the movie.
Now all you have to do is solve the equation. Subtract 6x from 8.25x, and get 27=2.25x. Then, divide 2.25 from 27, and you would get your answer, which is 12. So, they would both have to see 12 movies to pay the same amount that year.
To check your work to see if you were right, you would plug in 12 as x, because that is the variable that represents the amount of visits to the movie. For Jaycie, the equation would be 27+6.00(12), and you would get 99, so she would pay $99 in total. For Claire, you would just do 8.25(12), which is also 99. That is how you know your answer is right.
Hope I helped, it would be greatly appreciated if you gave me brainliest if you understood what I explained :)
They'll need to see 12 movies together before they pay the same amount.
Let the number of movies be x
Based on the question given, the equation for Jaycie will be:
= 27 + (6 × x)
= 27 + 6x
The equation for Clarie will be:
= 8.25 × x
= 8.25x
Then, the equation to solve the question will be:
27 + 6x = 8.25x
Collect like terms
27 = 8.25x - 6x
2.25x = 27
x = 27/2.25
x = 12
They will see 12 movies together.
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If the denominators of two fractions are the same, how do you add the fractions?
Step-by-step explanation: To add like fractions or fractions or fractions that have the same denominator, simply add the numerators and keep the original denominator.
Let's try an example.
[tex]\frac{1}{13}[/tex] + [tex]\frac{5}{13}[/tex] = ?
In this example, if we add the numerators we have 1 + 5 which gives us 6 and we put this over our original denominator which is 13. Therefore, 1/13 + 5/13 . gives us 6/13 which is in lowest terms.
A computer sales associate makes $110 each day that she works and makes approximately $19 in commission for each computer that she sells. If she wants to make at least $338 in one day, at least how many computers does she need to sell?A computer sales associate makes $110 each day that she works and makes approximately $19 in commission for each computer that she sells. If she wants to make at least $338 in one day, at least how many computers does she need to sell?
Find out what number $350 is 8% of, since he makes 8% commission on sales. In the percent formula: a = pb
a is the part, p is the percent (as a decimal), b is the base
350 is 8% of what number? 350 = 0.08b {substituted given values into percent formula and changed 8% to a decimal}
b = $4,375 {divided each side by 0.08}
He needs to make at least $4375 worth of sales.
why do some fractions convert to terminating decimals, while others repeat.
Because they do not have similar multiples with each other so they repeat, while some others do so they are terminating.
hope that helps :)