Identify the slope and y intercept in the equation y=25x + 32
Answer:
y= 57x
Step-by-step explanation:
25 + 32 = 57x y = 57x
Find the slope between the following points (-3, 4) AND (-7,-5).
Answer:
slope = [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Equation to find slope: [tex]\frac{y1-y2}{x1-x2}[/tex] (-3, 4) (-7, -5)
[tex]\frac{4+5}{-3+7}[/tex] = [tex]\frac{9}{4}[/tex]
2. Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large
cups for $2.50. If Ashley sold a total of 155 cups of lemonade for $265, how many cups of each
type did she sell?
Answer:
[tex]\boxed {\boxed {\sf 98 \ Small \ Cups}}\\\\\boxed {\boxed {\sf 57 \ Large \ Cups}}[/tex]
Step-by-step explanation:
Let's make a system of equations.
First, define the variables.
Let s= small cups and g= large cups
Next, make 2 equations. 1 for the money and 1 for the number of cups.
Money
A small cup costs 1.25 and a large cup costs 2.50. The total money made is 265. 1.25s+2.50g=265Number
A total of 155 cups of lemonade were sold. The sum of small cups and large cups sold will equal 155. s+g=155Here is our system of equations:
[tex]1.25s+2.50g=265 \\s+g=155[/tex]
Now, solve. Let's isolate a variable in the 2nd equation, so we can plug it in after.
Subtract g from both sides of the equation. s+g=155 s+g-g=155-gs=155-gNow we know that s is equal to 155-g. We can substitute (155-g) in for s in the first equation.
[tex]1.25s +2.50g=265[/tex]
[tex]1.25(155-g)+2.50g=265[/tex]
Distribute the 1.25
1.25(155-g)= (1.25*155)+ (1.25*-g)= 193.75-1.25g[tex]193.75-1.25g+2.50g=265[/tex]
Work to isolate the variable. Subtract 193.75 from both sides of the equation and combine like terms on the left.
[tex]193.75-1.25g+2.50g=265-193.75[/tex] (Subtract 193.75)
[tex]-1.25g+2.50g=265-193.75[/tex]
[tex]1.25g=71.25[/tex] (Combine like terms).
1.25 and g are being multiplied. The inverse of multiplication is division. Divide both sides by 1.25
[tex]1.25g/1.25=71.25/1.25\\g=71.25/1.25\\g=57[/tex]
Now we know that 57 large cups were sold. Plug 57 back into the original second equation to find the small cups.
[tex]s+g=155[/tex]
[tex]s+57=155[/tex]
Subtract 57 from both sides of the equation to isolate the variable, s.
[tex]s+57-57=155-57\\s=155-57\\s=98[/tex]
Ashley sold 57 large cups and 98 small cups.
small cup she sold = x = 98
large cup she sold = y =57
PLS I NEED HELP ASAP
Answer:
Answer C
.....,.................
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-3,-4); y=-3x+4
Answer:
y=-3x-13
Step-by-step explanation:
Plug in the -2 and -4 for the y and x. The slope is the same
1) -4 = -3 (-3)+b
2) -4=9+b
3) -4-9=b
4) -13=b
The equation is y=-3x-13
The state Capitol building in Baton Rouge, Louisiana, is 450 feet tall. Ella's scale model of the building uses the scale 25 feet = 10 inches. How tall is Ella's model?
which model represents 1/3
Answer:2nd one because 2/6=1/3
Step-by-step explanation:
What is the slope of (-2,5) (3, -5)
A. -1/2
B. -2
C. 2
D. 1/2
Answer:
Step-by-step explanation:
(-5 - 5)/(3 + 2)= -10/5= -2
answer is B
Ryan also earns money by selling colored watch bands with the watches he sells. The linear expression 100x – 50 models Ryan's additional income. What is the expression that models the new average profit, including the bands? Note: To obtain the new average profit expression, add the linear expression to the original rational expression. Write the new profit expression as one fraction.
Answer:
Average (additional) income = 100 - 50/x
Step-by-step explanation:
Ryan's additional income = 100x - 50 , where x = quantity of colored watch bands
Ryan's additional average income = Income / Quantity of watches sold
(100x - 50) / x
= 100 - 50/x
Multiply the two binomials 6x - 5 and 2x + 3 and write your answer in
simplified terms
Answer:
x = 2
Step-by-step explanation:
6x + -5 = 2x + 3
-5 + 6x = 2x + 3
-5 + 6x = 3 + 2x
-5 + 6x + -2x = 3 + 2x + -2x
-5 + 4x = 3 + 2x + -2x
-5 + 4x = 3 + 0
-5 + 4x = 3
-5 + 5 + 4x = 3 + 5
0 + 4x = 3 + 5
4x = 3 + 5
4x = 8
x = 2
Which temperatures are listed in order from coldest to warmest?
−6°, −2°, 0°, 4°
0°, −2°, 4°, −6°
−6°, 4°, −2°, 0°
−2°, −6°, 0°, 4°
Answer:
the temperature list from coldest to warmest is :-2,-6,0,4
What is the discriminate?
Huilan's age is two times Thomas's age. The sum of their ages is 18. What is Thomas's age?
Answer:
Huilan is 12 and Thomas is 6
Step-by-step explanation:
Answer:
thomas is 6 years old
Step-by-step explanation:
if he is 6. 6x2=12 +6 =18
What is 2/5 ÷ 1/10 = ?
Can someone explain to me how to get the answer:
-3 |2d| = 12
-3×2d=12
-6d=12
d=12÷(-6)
then d= -2Hope this helps.
There are 2 questions PLease help need it quickley will give brainiest
Answer:
This is the answer
Answer:
did the math person above is right sorry for being late :)
Step-by-step explanation:
find the equation of the line . PLEASE HELP
Classify the polynomial by degree and number of terms.
2+3x^3-7x^3+10
Answer:
−4x^3+12
Step-by-step explanation:
2+3x^3-7x^3+10
simplify this
−4x3+12
Given side lengths 4 units, 8 units, and x units, determine the range in which x must lie in order for a triangle to exist.
A)
X > 12
B)
0 < x <4
-4 < x < 0
D)
4 < x < 12
Answer:
C) 4 < x < 12
Help me please!!!!!!!
Answer:
yes
Step-by-step explanation:
that symbol means <= which means x is less than OR equal to 5/2
You are running an experiment in class where you draw colored marbles out of a bag. There are
eight marbles in the bag, you will draw five times, and you will replace the marble each time. How many ways can you draw the marbles out of the bag?
A: 40
B: 3,360
C: 4,096
D: 32,768
Answer:
32768 ways
Step-by-step explanation:
Given
Marbles = 8 marbles
Selection = 5 (with replacement)
Required
Determine the number of ways
Because it is a selection with replacement; each selection is as follows:
[tex]First = 8\ marbles[/tex]
[tex]Second = 8\ marbles[/tex]
[tex]Third= 8\ marbles[/tex]
[tex]Fourth = 8\ marbles[/tex]
[tex]Fifth = 8\ marbles[/tex]
Total number of ways is then calculated as:
[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]
[tex]Total = 32768[/tex]
Which of the following expressions represents "the difference of 8 and n"?
0-8 n
08-0
On-8
Answer:
n-8
Step-by-step explanation:
difference means subtraction so it can't be 8n which is multiplication or 8-0 because n is not represented.
.anybody actually knows the answer
Answer:
2.56
Step-by-step explanation:
14.7 - 1.9 = 12.8
12.8/5 (sides) =
n = 2.56
check:
2.56 * 5 = 12.8
12.8 + 1.9 = 14.7
If you ride your bicycle at 22 miles per hour, how many miles could
you travel from 7:00 a.m. to 9:30 a.m. if you do not take a break?
Answer:
About 4-5 miles at the most i rode a bike before to a store and it took me an hour to go there and get back so.... Ya i would say about 4-5 miles
Step-by-step explanation:
Because 22mph is pretty slow. And i was going faster then 22mph when i was on my bike.
Answer:
55 miles
Step-by-step explanation:
Subtract 9:30 & 7:00, it will give you 2.3...meaning 2.5 hours. If you are traveling 22 miles an hour for 2 hours & 30 minutes you will get 55 miles total. 22 + 22 + 11 = 55.
Please help! 20 points and I’ll give Brainliest
Joe is tracking the progress of his plants growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day.
A. Write a linear model (equation) that represents the height of the plant after d days
B. What will the height of the plant be after 20 days
Answer:
A. y=1.5d+5
B. 35 cm high
Step-by-step explanation:
hope this helps
can someone please help me with this? if you end up getting it correct after I answer it ill give you 20 points more
Answer: B.
Step-by-step explanation:
The slope is 3 the y-intercept is (0,6)
hope this was helpfulllllllllllllllllllllllllllllllllll
PLSSSS SOMEONE HELP MEEE IM STUCK the question is below
Answer:
x=8, y=73/3
Step-by-step explanation:
they ask to solve by substitution so from second equation find y
4x-3y= -41 isolate y
4x+41 = 3y divide both sides by 3
(4x+41)/3= y substitute this y in the first equation
5x+2y = -34
5x+2(4x+41)/3 = -34 distribute and find the common denominator
3*5x+(8x+82)/3 = -34
15x+8x+82=-34*3 cross multiply
23x = -102-82
x=-184/23=8
y=(4*8+41)/3=73/3 is about 24.333..
Ben can type 2/5 of a page of an essay in 1/2 minute. How much time would
take him to type one full page of the essay?
Answer:
ok so first i want to figure out what 2/5 converted to percent is......
you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4
so this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so lets see,
40% + 40% = 80%
so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time does it take to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15
So if we add all these numbers up it equals 1:15 minutes to write an essay
I hope this helps and please mark brainliest if i got it right!
The time taken by Ben to write a full page will be 1:15 minutes.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4
So this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so let's see,
40% + 40% = 80%
so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time it takes to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15
Therefore, the time takes Ben to write a full page will be 1:15 minutes.
To know more about an expression follow
https://brainly.com/question/14813498
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It is 49,280 yards from Topeka to Tonko. How many miles
is this?
Answer:
Step-by-step explanation:
1 yard = 0.000568 miles
49280 yards = 28 miles
1 mile = 1,760 yards
Divide total feet by 1760
49,280 / 1760 = 28 miles.
The graph shows the heigh if a tree ever time. What can you reduce the rate of change to be from 2years to 4years
Answer:
the question sounds confusing but I believe you would reduce the time or the x value so that the years are reduced.