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
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
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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Last month, one bank customer withdrew $45. Another bank customer deposited $70. Each person’s bank balance at the beginning of last month was $0. Which number sentence correctly compares the absolute values of the changes in their bank balances?
A. |-$45| < |$70|
B. |-$45| > |$70|
C. |$45| = |-$70|
D. |$45| > |-$70|
Answer:
Answer in short- A
Step-by-step explanation:
The customer withdrew $45 dollars that's 45 dollars less than what they had. and they they added 70 more. so the answer is
|-$45| < |$70|
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.
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 :)
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
if frans fudge recipe calls for 2 1/2 cups of sugar and she increases it by 2/5 of a cup, how much sugar does she use
John rents a car for $85 a week plus $0.26 per mile.
How far can he travel on a budget of $215?
P(4,6); y=-3 perpendicular
Given line : y =-3
That means it is a horizontal line with the slope equal to zero .
Any line perpendicular to the horizontal line is said to be the vertical line .
And vertical line always looks like the equation x= h where h is the x- coordinate of any point.
Since we are looking for a line through (4,6) so
Required line is : x = 4
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
How to write a comparison sentence 5*9= 45
I think a comparison sentence could be 45 is 5 times as many as 9.
State the expression (10 + 16) x 49.
A) Ten plus sixteen times forty nine
B) The sum of ten and sixteen and forty-nine
C) The product of sixteen and forty-nine added to ten
D) The sum of ten and sixteen, multiplied by forty-nine
Answer: Option 'D' is correct.
Explanation:
Since we have given that
the expression:
[tex](10+16)\times 49[/tex]
Its statement will be
The sum of ten and sixteen , multiplied by forty-nine.
All other option are not correct because
in option'A' it says ten plus sixteen times forty nine ,
According to BODMAS, it will become
[tex]10+16\times 49[/tex]
which does not satisfy our expression,
Similarly,
option 'B' and 'C' are also incorrect.
Hence ,Option 'D' is correct.
Final answer:
The expression (10 + 16) x 49 is correctly stated as 'the sum of ten and sixteen, multiplied by forty-nine'. Powers of 10 are multiplied by adding exponents, which helps in simplifying calculations without a calculator.
Explanation:
The correct expression for (10 + 16) x 49 is denoted as the sum of ten and sixteen, multiplied by forty-nine. The operation inside the parenthesis is performed first, which is the addition of 10 and 16, and then the resulting sum is multiplied by 49.
Regarding the multiplication of powers of 10, when powers of 10 are multiplied together, their exponents are added.
For instance, if we are given an expression such as (4.506 × 10⁴) × (1.003 × 10²), we can find the product by multiplying the coefficients (4.506 and 1.003) and then adding the exponents of 10 (4 and 2), resulting in an expression in scientific notation without using a calculator.
The multiplication of coefficients gives us 4.514518, and adding the exponents (4 + 2) gives us 10⁶, so the product in scientific notation would be 4.514518 × 10⁶.
Therefore, the correct option is:
D) The sum of ten and sixteen, multiplied by forty-nine
A pair of shoes is on sale for 80% off the original price. The sale price is $60. What was the original price
Answer:
The answer is 75
Step-by-step explanation:
The answer is 75 because 60 is only 80% and not 100% (why am I stating the obvious rn???) we would need to get the other 20% and to get 20 out of 80 you would need to divide 80 by 4, which is 15, so if you add 15 to 60 you would get 75. And there you go! You are welcome in advance ♥︎!!!
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:
help me having trouble!!!!
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.
Help me plz !! It says: the scores of players on a golf team are shown in the table the teams combined score was 0 what was Travis’s score??16points
His score would have to be -5:
-3 + 3 = 0
0 + 1 = 1
1 + 4 = 5
5 + (-5) = 0
Answer: Hi!
So you know that the su of all the scores is 0.
The scores in the table are cecilia -3, janine 3, sami 1 and ted 4 and travis x, where x is the number that we want to know.
if we sum those, we have : 3 - 3 + 4 + 1 + x = 0
and we get 5 + x = 0
then x= -5, so travis's score is -5 points.
Number 16??? Plz help
Jamahl number is greater
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
A cab charges $1.50 for the flat fee and 0.50 for each mile write and solve an inequality to determine how many miles sharon can travel if she has 25$ to spend
$0.50 plus $1.50 < $25; x < 47 miles
Is this it ???? I hope i helped
Answer:
12.5 or less
Step-by-step explanation:
Let x b the number of miles Sharon travels, we can write an expression relating the amount she spends. We can add the cab flat fee and the amount per mile. So there:
[tex]=0.5+1.50=2[/tex]
So let that total cost per mile be less than equal to the amount the Sharon can spend:
2x≤25
We can determine x:
x≤12.5
Sharon can travel 12.5 or less
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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If h(x)=x-9, find h(13)
If you plug in 13 into h(x), the other simplified way is h(13)=13-9
The answer would be 4.
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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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 :)
What is the slope of the line that contains the points 3,4 and 1,2 a. 1
Answer:
1
Step-by-step explanation:
The formula to find the slope is:
( y2 - y1 ) / ( x2 - x1 )
(3, 4) and (1, 2)
( 2 - 4 ) / ( 1 - 3 )
= -2 / -2
= 1
Hope this help!
Answer:
LaMonsta Was here
Step-by-step explanation:
1
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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Your cousin gave you $9 to buy a present with.
Answer,
9/3 = 3
3 x 5 = 15
15
Hope this helps :-)
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%
What is the value of the expression 2^0/4^2
Anything to the zeroth power is equal to 1. (The numerator is equal to one because of this rule)
So.
[tex]\frac{1}{4^2} = \frac{1}{16}[/tex]
Well, anything to the 0th power is equal to one. So, 1/4^2 = 1/16 In decimal form that would be .0625
Hope this helps :)