Answer:
Slope = -¾
Step-by-step explanation:
Given the points, (-20,-4) and (-12, -10), use the following formula to solve for the slope:
m = (y₂ - y₁)/(x₂ - x₁)
Let (x₁, y₁) = (-20,-4)
(x₂, y₂) = (-12, -10)
Substitute these values into the slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
[tex]m = \frac{-10 - (-4)}{-12 - (-20)}[/tex]
[tex]m = \frac{-10 + 4}{-12 + 20}[/tex]
[tex]m = \frac{-6}{8}[/tex]
Simplify the fraction into its lowest terms by dividing the numerator and the denominator by 2:
[tex]m = \frac{-6}{8}[/tex] ÷ [tex]\frac{2}{2}[/tex]
m = -¾
Therefore, the slope of the line is -¾
An item is on sale for 30% What would the new cost be if the item was originally $275
Answer:
$192.5
Step-by-step explanation:
$275÷10=27.5
27.5×3=82.5
275-82.5=192.5
1. John is going to join a gym. He must pay a one-time membership fee of $75 and a monthly fee of $30. Let m = the number of months John has his membership. Write an expression to represent this situation How much will John pay for 6 months of membership?
2. Madison is having a party. She went to the store and bought a cake for $18.50 and 20 balloons. Her total bill was $63.50. How much did each balloon cost if they all cost the same? Write and solve an equation. Please look over these again. Webmail your answers to get your points back.
John's membership in the gym and Madison's party are illustrations of linear equations.
1. John's equation
The given parameters are:
[tex]\mathbf{Base = 75}[/tex]
[tex]\mathbf{Monthly = 30}[/tex]
The monthly expression is:
[tex]\mathbf{f(m) = Base + Monthly \times m}[/tex]
So, we have:
[tex]\mathbf{f(m) = 75+ 30 \times m}[/tex]
[tex]\mathbf{f(m) = 75+ 30m}[/tex]
For 6 months, we have:
[tex]\mathbf{f(6) = 75+ 30 \times 6}[/tex]
[tex]\mathbf{f(6) = 255}[/tex]
Hence, the expression that represents the situation is [tex]\mathbf{f(m) = 75+ 30m}[/tex], and the amount for 6 months of membership is $255
2. Madison's party
The given parameters are:
[tex]\mathbf{Cake = 18.50}[/tex]
[tex]\mathbf{Balloon = 20}[/tex]
[tex]\mathbf{Total = 63.50}[/tex]
Let n represent the cost of each balloon.
So, the equation is:
[tex]\mathbf{Cake + Balloon \times n = Total}[/tex]
This gives:
[tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex]
Subtract 18.50 from both sides
[tex]\mathbf{ 20 \times n = 45}[/tex]
Divide both sides by 20
[tex]\mathbf{ n = 2.25}[/tex]
Hence, the expression that represents the situation is [tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex], and the cost of each balloon is $2.25
Read more about linear equations at:
https://brainly.com/question/11897796
. Mrs. Jackson needs to earn $3,000 a
month. How much does she need to sell if
she earns 15% commission on everything
she sells?
Answer:
20000
Step-by-step explanation:
Answer:
20000
Step-by-step explanation:
20 points solve (x-3)(x^2+3x+9)=37
Answer:
the answer is x = 4.
1. use the quadratic formula.
2. use a coordinate plane to check your answer.
hope this helps.
Answer:
x = 4
Step-by-step explanation:
(x - 3)(x² + 3x + 9) = 37 ← distribute left side
x³ + 3x² + 9x - 3x² - 9x - 27 = 37 , simplify left side by collecting like terms
x³ - 27 = 37 ( add 27 to both sides )
x³ = 64 ( take cube root of both sides )
x = [tex]\sqrt[3]{64}[/tex] = 4
It cost Chloe $9.20 to send 92 text messages. How many text messages did she send if she spent $18.00?
who know plz plz !!
Answer:
180 texts
Explanation:
mutiply 92 by 0.10 and you'll get 9.2
So each text costs 10 cents.
Given that (x-1) is a factor of p(x)=x^3+2x^2-x-2,factorize p(x) completely
Answer:
Step-by-step explanation:
Could someone help me figure this out?
Answer:
The area of a rectangle is the length multiplied by its breadth.
Since the length is [tex]3(n-1)[/tex] and the breadth is [tex]n+2[/tex] and the area is 54, you can form an equation as followed:
[tex]3(n-1)*n+2=54[/tex]
[tex]3n(n-1)+2=54[/tex]
Expand:
[tex](3n*n)-(3n*1)+2=54[/tex]
[tex]3n^2-3n+2=54[/tex]
Subtract both sides by 54:
[tex]3n^2-3n+2-54=54-54[/tex]
[tex]3n^2-3n-52=0[/tex]
Slope - Part 1
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest
form in the box
Please hurry!!
Answer:
-1
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
Using the points on the line (-2,0) and (0,-2)
m = ( -2-0)/(0- -2)
= (-2-0)/(0+2)
-2/2
-1
x+3y=23
x-2y= -17
help elimationmethod
Answer:
1. 20
2.19
ok that will help you
find equation of a line containing (3,-4) and having a slope of -2. if this line contains the points(a, 8) and (5,b) find a and b
i will give brainlest for the best answers with best explanation
Answer:
a = - 3, b = - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute (3, - 4 ) into the partial equation
- 4 = - 6 + c ⇒ c = - 4 + 6 = 2
y = - 2x + 2 ← equation of line
------------------------------------------------------------------
Substitute (a, 8 ) into the equation and solve for a
8 = - 2a + 2 ( subtract 2 from both sides )
6 = - 2a ( divide both sides by - 2 )
- 3 = a
Substitute (5, b ) into the equation and solve for b
b = - 2(5) + 2 = - 10 + 2 = - 8
6) The 4,000 students at Tech High were surveyed about their use of text
messaging. How many students said they text 50-100 times a day? *
1 point
How many text messages do you send
a day?
0-50
10%
50-100
75%
100-150
10%
More than 150
5%
Your answer
Answer: 3,000
Step-by-step explanation:
4,000 divided by 4 is 1,000. This means that 25% of 4,000 is equal to 1,000. 75 divided by 3 is 25. Multiply 1,000 times 3 to get your answer, 3,000, which is 75% of 4,000.
Evaluate the Expression for x=5 and y =3 and z = 1/4
Answer:
4
Step-by-step explanation:
We start with this:
[tex]\frac{5x-6y +20z}{4yz}[/tex]
Then we insert the vales of the variables like this:
[tex]\frac{5(5)-6(3) +20(\frac{1}{4} )}{4(3)(\frac{1}{4}) }[/tex]
Next, Simplify:
[tex]\frac{25-18 +5}{3 }[/tex]
[tex]\frac{12}{3 }[/tex]
Simplify further, and we get our answer: 4
Shawn has 325 dollars if shawn uses only hundreds tens and ones write the number of each kind of bill that shawn has NEEDS TO BE ANSWERED ASAP
Answer:
3 hundreds, 2 tens, 5 ones
solve for X in the figure below
[tex]\\ \sf\longmapsto 4x+12+90=180[/tex]
[tex]\\ \sf\longmapsto 4x+102=180[/tex]
[tex]\\ \sf\longmapsto 4x=78[/tex]
[tex]\\ \sf\longmapsto x=19.7[/tex]
When William had one cat, he needed to serve 1/8 of a can of cat food each day. Now that William has adopted a second cat, he needs to serve a total of 2 7/8 cans each day. How much extra food is needed to feed the second cat?
if 3x+4y=11 and xy=2 solve simultaneously
Answer:
(1, 2 ) and ([tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )
Step-by-step explanation:
3x + 4y = 11 → (1)
xy = 2 ( divide both sides by y , y ≠ 0 )
x = [tex]\frac{2}{y}[/tex] → (2)
Substitute x = [tex]\frac{2}{y}[/tex] into (1)
3([tex]\frac{2}{y}[/tex] ) + 4y = 11
[tex]\frac{6}{y}[/tex] + 4y = 11 ( multiply through by y )
6 + 4y² = 11y ( subtract 11y from both sides )
4y² - 11y + 6 = 0
Consider the factors of the product of the y² term and the constant term which sum to give the coefficient of the y- term
product = 4 × 6 = 24 and sum = - 11
The factors are - 8 and - 3
Use these factors to split the y- term
4y² - 8y - 3y + 6 = 0 ( factor first/second and third/fourth terms )
4y(y - 2) - 3(y - 2) = 0 ← factor out (y - 2) from each term
(y - 2)(4y - 3) = 0
Equate each factor to zero and solve for y
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]
y - 2 = 0 ⇒ y = 2
Substitute these values into (2)
y = 2 : x = [tex]\frac{2}{2}[/tex] = 1 ⇒ (1, 2 )
y = [tex]\frac{3}{4}[/tex] : x = [tex]\frac{2}{\frac{3}{4} }[/tex] = 2 × [tex]\frac{4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ⇒ ( [tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )
Translate the sentence into an equation four more than six times a number is 11
6x+4=11
(x is "a number")
parallel perpendicular or neither
Answer: perpendicular
Step-by-step explanation: an opposite reciprocal makes it perpendicular.
example
1/2 and -2 are opposite reciprocals
1/2 and 1/2 are parallel
1/2 and -4/3 are neither
Answer:
The answer is perpendicular
help me plz.......................
Answer:
B
Step-by-step explanation:
-16x - 32
We can factor out -16 from the -16 and -32 which leads us to this equation:
-16 (x + 2)
Meaning B would be the correct answer
Answer: B. -16(x + 2)
Step-by-step explanation:
The GCF, or greatest common factor, of -16 and -32, is -16.
Thus, distribute out -16 to get -16(x + 2)
Hope it helps :) and let me know if you want me to elaborate.
the bill from your electrician was $198. he worked for 3 hours. the cost for materials was $33. how much did the electrician charge you per hour
Answer:
Answer is 66
Step-by-step explanation:
divide 198 by 3 and you get 66
Hope this helps!
Jenny drove 335 miles in 5 hours at the same rate how long would it take her to drive 871 miles?
Answer: x = 13 hours
Step-by-step explanation:
335 miles/5 hours = 67 mi/hr
(67 mi/hr)x = 871 miles
x = 13 hours
Diego is planting corn on his farm. He predicts that he will grow 20 tons of corn when he plants 5 acres with corn. Part A Use the information above to complete the table. Number of Acres Planted with Corn Tons of Corn Grown 5 10 15 20 DULL
The number of tons of corns grown on the farm is given my a multiple of
the number of acres planted.
The number of tons of corn predicted per 5 acres planted = 20 tons
Therefore, we have;
[tex]\begin{tabular}{ccc}Tons of corn produced per acre\end{array}\right] = \dfrac{20 \ tons}{5 \ acres} = \mathbf{4 \ tons /acre}[/tex]The completed table is presented as follows;
[tex]\begin{tabular}{c|c|c}\underline{Number of Acres Planted with Corn}&\underline{4 tons per acre} &\underline{Tons of Corn Grown}\\5&5 \times 4&20\\10&10 \times 4&40\\15&15 \times 4&60\\20&20 \times 4&80\end{array}\right][/tex]
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Answer ALL the question. Thank you
1) A toad jumps 8 times. Every time he jumps, he covers the same distance. After 8 jumps, he had traveled 96 steps. How long are his jumps?
2) Roger covers 52 steps in 1 jump and 7 steps. How many steps are equal to on of Roger's jumps?
3)Wartortle takes the same amount of time to get to 96, but he does it differently. Each of his jumps is equal to 8 of the toad's steps. How many jumps does Wartorle make?
4) Ribbbie jumped just as far as MT, 52 steps, but Rabbie did it in 3 jumps and 10 steps. How many steps are equal to one of Ribbie's jumps?
1) The toad's jumps are 12 steps long.
2) One of Roger's jumps equals 45 steps.
3) Wartortle makes 1 jump to cover 96 steps.
4) One of Ribbie's jumps is equal to 14 steps.
1) Given that a toad jumps 8 times, and every time he jumps, he covers the same distance, and after 8 jumps, he had traveled 96 steps, to determine how long are his jumps the following calculation must be performed:
96/8 = X 12 = X So, his jumps are 12 steps long.
2) Given that Roger covers 52 steps in 1 jump and 7 steps, to determine how many steps are equal to one of Roger's jumps, the following calculation must be performed:
52 - 7 = X 45 = X Thus, one of Roger's jumps equals 45 steps.
3) Since Wartortle takes the same amount of time to get to 96, but he does it differently, as each of his jumps is equal to 8 of the toad's steps, to determine how many jumps does Wartorle make the following calculation must be performed :
8 x 12 = X 96 = X 96/96 = 1 Therefore, Wartortle makes 1 jump to cover 96 steps.
4) Given that Ribbie jumped just as far as MT, 52 steps, but Ribbie did it in 3 jumps and 10 steps, to determine how many steps are equal to one of Ribbie's jumps, the following calculation must be performed:
(52 - 10) / 3 = X 42/3 = X 14 = X Therefore, one of Ribbie's jumps is equal to 14 steps.
Learn more in https://brainly.com/question/19634148
1. If you were to shade all the numbers that are divisible by 2 and by 3 in this multiplication table which rows would be completely shaded? Why?
Answer:
The ones that are divisible by 6
Step-by-step explanation:
If it is even, divisible by 2
If the sum of digits is divisble by 3, it would be divisible.
These examples are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.
You are welcome,
Kayden Kohl
8th Grade
I HAVE A SEMICIRCLE WITH A DIAMETER 16cm. How do I find the perimeter of the SEMICIRCLE
Answer:
Perimeter of Semicircle
The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.21-Oct-202
Answer:
Perimeter is 41.1327 centimeters
Step-by-step explanation:
The perimeter of a semi-circle is the circumference of the full circle plus the length of the diameter.
To find the circumference of a circle, just multiply the diameter by pi:
[tex]c=\pi\times d\\c=\pi\times 16\\c=50.2655[/tex]
Now, add the diameter to half of it:
[tex]p=\frac{c}{2}+d\\p=\frac{50.2655}{2}+16\\p=25.1327+16\\p=41.1327[/tex]
The Batpod and The Falcon Cycle are traveling down the
highway. That Batpod can travel at a speed of 4 miles
per minute; while the Falcon Cycle can double that at a
speed of 8 miles per minute. If Falcon gives Batman a 6
minute head start. How long will Batman have traveled
before Falcon catches him?
I need help so I can turn in my Packet?!?!?
Answer:
3/2 minutes or 1.5 minutes
Step-by-step explanation:
We want to know when the two following equations will be equal, so we can set them equal to each other
(x = time passed)
Falcon
\/
8x = 4x + 6
/\
Batman
8x = 4x + 6 -> 4x = 6 -> x = 6/4 -> x = 3/2
We can also graph it, see attatched
Have a nice day! - also, lol, the different car names
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
please help urgently need help
change the subject to x
s=x2−3
Equation =》s = x² - 3
To change the subject to 'x' :-
[tex]\tt\:s = x ^ { 2 } - 3[/tex]
[tex]\tt\:x^{2}-3=s[/tex]
[tex]\tt\:x^{2}=s+3[/tex]
So,
[tex]\boxed{\tt\:x=\sqrt{s+3}}[/tex]
[tex]\boxed{\tt\:x=-\sqrt{s+3}\text{, }s\geq -3}[/tex]
=》'x' can be any of the 2 values in the boxes.
_______
Hope it helps ⚜
Answer:
I agree with RainbowSalt2222
Step-by-step explanation:
It is correct exactly what I got
In ⊙V, QT ≅ RS. If UV = 4 cm, then VW = _______ cm.
Answer:
VW = 4 cm
Step-by-step explanation:
Congruent chords are equidistant from the centre , so
VW = UV = 4 cm
If one of the 255 subjects is randomly selected, find the probability that the person is over 40 and prefers cola.
a) 4/19
b) 4/17
c) 4/51
d) 32/51
Answer:
32/51
Step-by-step explanation:
Today, Petland sold 8 times as many dogs as cats. If a total of 72 dogs and cats were sold, how many cats were sold?