Answer: 18 miles per hour
Step-by-step explanation: The equation shows the slope as 18. This means that the unit rate per hour (t = number of hours) is 18/1.
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
3w-5>2w+-7 and 6(c+3) 2+-3
Answer:
w>−2 and 12c+33
Step-by-step explanation:
Answer:
&&&&
Step-by-step explanation:
Sorry, Don't know buddy
please help which one of these answers is it?
Answer:
[tex] m\angle ABC = 35\degree [/tex]
Step-by-step explanation:
(3x - 70)° = x° (corresponding angles)
3x - 70 = x
3x - x = 70
2x = 70
x = 70/2
x = 35
[tex]
m\angle ABC = (3x - 70)\degree \\\\
m\angle ABC = (3\times 35- 70)\degree \\\\
m\angle ABC = (105- 70)\degree \\\\
\huge\red {\boxed{m\angle ABC = 35\degree }} \\\\[/tex]
Which of the following is most likely the next step in the series? O B. On # on # OCH oath
Answer:
I don't really understand the question? could you explain please :)
Step-by-step explanation:
what is 24/400 into decimals
Answer:
0.06
Step-by-step explanation:
A grocery store sells a bag 7 oranges for $2.66. if alexandra spent $3.42 on oranges how many did she buy
Answer:
9 oranges
Step-by-step explanation:
7 for 2.66 is 38c for 1
Step-by-step explanation:
if 7 gives 2.66
so 3.42×7÷2.66 gives 9 orange
Can anyone help with number 9 please
Answer:
A) 55
Step-by-step explanation:
angle 3 is an exterior angle. to find the interior angle of the triangle, subtract angle 3 from 180
180 - 110 = 70
all the angles in a triangle add up to 180.
since angles 1 and 2 are the same, you can call them x.
70 + 2x = 180
70 - 70 + 2x = 180 - 70
2x = 180 - 70
2x = 110
2x/2 = 110/2
x = 110/2
x = 55
Answer:
A.55
Step-by-step explanation:
The angle that is not numbered =70 because it is the supplementary angles of angle 3. if that is 70 a triangle add to 180 then 180-70=110. and 1 and 2 and equal so 110/2 =55
Help me on this please
Answer:
A. x1/15
Step-by-step explanation:
Answer:
It would be [tex]x^{\frac{8}{15}}[/tex] or D
Hope this helps
Together, teammates Pedro and Ricky got 2687 base hits last season. Pedro had 281 more hits than Ricky. How many hits did each player have?
Ricky had 1203 hits Pedro had 1484
I’ll mark brainlist whoever gives the right answer!
Answer:
y=-2/3x+2/3 i think... :)
Step-by-step explanation:
y=mx+b
-4=-2/3(-7)+b
-4=14/3+b
b=2/3
y=-2/3x+2/3
What is the value of -3+(-4+7)(2)?
O-28
O-3
O3
O 15
Answer:
Step-by-step explanation:
Option C 3 is the correct answer
Answer:
3
Step-by-step explanation:
1. Simplify -4 + 7 to 3.
-3 + 3 × 2
2. Simplify 3 × 2 to 6.
−3 + 6
3. Simplify.
3
the value of a second hand car is £8000. Each year it loses 20% of its value at the start of this year. work out its value in 5 year time.
pls show working out who ever answer first get marked brainest and get rated excellent. urgently needed. need asap my teacher waiting
Answer:
0
Step-by-step explanation:
20 percent of 8000 = 1600
1600 x 5= 8000
8000 - 8000 = 0
PLEASE HELP!!!!!!!!!
Identify the type for each triangle.
(Please do not answer if you do not know so the right people get the points)
Answer:
1. isosceles
2. obtuse
3. isosceles
4. right triangle
5. right isosceles triangle
6. obtuse isosceles triangle
The graph of relation v is shown. Which of the following graphs represents the relation and its inverse?
Step-by-step explanation:
The relation and its inverse (if it exists) must be symmetrical about the line y = x.
Hence the answer is the 2nd from the top.
Answer:
Second option
Step-by-step explanation:
What is an
equation of the line that passes through the points (6,8) and (-3, 2)?
what is the total area of the four walls of a rectangular room 12 ft long by 13 ft wide by 9 ft high?
Answer:
your mom
i dunno what else to put here lol
Answer:
Total area of four walls is 450ft
Step-by-step explanation:
First to find area of one wall is lenghth times height 2(12 x 9)
Second to find the area of the two other walls it’s height times width 2(13 x 9)
third add then up and you get 450
what is the value of y?
9y=28–5y
Answer:
y=2
Step-by-step explanation:
add the -5y over and you get 14y=28
then divide by 14 on both sides and you get y=2
1. what is 0.7 of 42
2. what is 0.3 of 14
Answer:1) 29.4
2)4.2
Step-by-step explanation:
0.7×42=29.4
0.3×14=4.2
Help with this assignment?
Los animales ______ al río. (2 points)
A eran B estudiaban C tomaban D iban
Write in slope-intercept form an equation of the line that passes through the given points (4, 1), (8, 2)
The slope-intercept form of the line is [tex]y=\dfrac{1}{4}x[/tex].
Given:
A line passes through the two points [tex](4,1)[/tex] and [tex](8,2)[/tex].
To find:
The slope-intercept form of the line.
Explanation:
The slope-intercept form of a line is:
[tex]y=mx+b[/tex]
Where, [tex]m[/tex] is slope and [tex]b[/tex] is the y-intercept.
The line passes through the two points [tex](4,1)[/tex] and [tex](8,2)[/tex]. So, the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-1=\dfrac{2-1}{8-4}(x-4)[/tex]
[tex]y-1=\dfrac{1}{4}(x-4)[/tex]
Using the distributive property, we get
[tex]y-1=\dfrac{1}{4}(x)+\dfrac{1}{4}(-4)[/tex]
[tex]y=\dfrac{1}{4}x-1+1[/tex]
[tex]y=\dfrac{1}{4}x[/tex]
Therefore, the slope-intercept form of the line is [tex]y=\dfrac{1}{4}x[/tex].
Learn more:
https://brainly.com/question/14455429
What is the solution of 52(4m+3)−(1−2m)=72[3(3+2m)−(3−m)] ?
Answer:
56cm -x=43
Step-by-step explanation:
(2y + 14.6m + 3.8) – (34.8m + 15.6 + 2y)
Answer:
-20.2m - 11.8
Step-by-step explanation:
write in slop intercept form
The recommended dosage of some drug is 20 grams of the drug for every 100
kg a person weighs. How much of the drug should be administered to a 70 kg woman?
Answer:
14 grams
Step-by-step explanation:
20/100=x/70
70 * 20/100=x
14=x
What is the measure of AC?
Answer:
A or B
Step-by-step explanation:
please help me answer this i will give brainliest and 5 star rating!!
Answer:
x = 77 ft
Step-by-step explanation:
55 ÷ 45 = 1.222222222
1.222222222 x 63 = 77
Answer:
63+45 divided by 12 + 55 times 12 + 95 (is what i think is the approximate length of the shadow)
Step-by-step explanation:
then after you do all this round it to the nearest foot
All I need is help on these two so plz help me finish !!
Answer:5.86 9.26
Step-by-step explanation:
Answer:
For the first one it's 53 small cubes can fit in the right rectangle prism. For the second one the answer is A=120
HELP THIS IS DUE IN 1:00 PM AND I WILL GIVE BRAINLIEST
Answer:
1) They were multiplied by one power of ten because 2.5x 1^10 is 25, and so that it is easier to divide.
19.625/ 2.5 * 10/10 = 196.25/25
Hope this helps plz hit the crown ;D
Hi! Can someone please answer this and show work, please? Thanks!
-4(3v-4)=52