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
At the King School, 55% of the students take a bus to school. If 220 students take a bus to school, how many students are there in total?
Answer:
400 student
55/100 * x(unknown) = 220
55x/100 =220
CROSS MULTIPLY
55X = 22000
X = 22000/55
X = 400
The total number of students at the King School is 440.
Given that, at the King School, 55% of the students take a bus to school.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let the total number of students be x
So, 55% of x =220
⇒ 55/10 ×x=220
⇒ 0.55x=220
⇒ x=220/0.55
⇒ x=440
Therefore, the total number of students at the King School is 440.
To learn more about the percentage visit:
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what is 325 x 6 for middle school 5th grade math
Answer:
Step-by-step explanation:
1950
Answer:
1,950
Step-by-step explanation:
I plugged the numbers into a calculator but you can also do it the long way by multiplying 6 to each part of 325.
Please help! Will mark brainiest what’s the domain of H?
Answer:
Domain: (-5,5)
Step-by-step explanation:
A card is drawn from an ordinary deck of cards. What is the probability that the card is a king given that the card is red?
A. P(K|R) = 0.8
B. P(K|R) = 0.2
C. P(K|R) = 0.92
D. P(K|R) = 0.08
Answer:
d. 0.08
Step-by-step explanation:
52 cards in a deck of cards. 26 are red. there are 2 red kings. 2/26= 0.076 which rounds up to 0.08
Half the cards (26) are red
Then there are 2 red kings out of the 26.
Probability of picking a red king out of the red cards is 2/26 = 1/13 = 0.076
Round to 0.08
The answer is D.
17. Ms Steele is building a circular fountain, on the diagram 2 centimeters is equal to 5 feet. If
the diameter is 12 centimeters. What is the area of the actual fountain? Do you have to
convert first or last
Answer:
George Washingmachine
Step-by-step explanation:
Answer:
[tex]706.858[/tex] [tex]ft^{2}[/tex] ([tex]3[/tex] d.p)
Step-by-step explanation:
Convert first:
[tex]12 \div 2 = 6[/tex]
[tex]6 \times 5 = 30[/tex] [tex]ft[/tex]
Area of circle = [tex]\pi r^{2}[/tex]
[tex]= \pi (30\times \frac{1}{2})^{2}[/tex]
[tex]= 225\pi[/tex]
[tex]= 706.858[/tex] [tex]ft^{2}[/tex]([tex]3[/tex] d.p)
Hope this helps :)
If Jose has a car with a mass of 55,000 kg and it is acted upon with a force of 200 Newtons. What is the acceleration?
Answer:
275 m/s2
Step-by-step explanation:
I know because I had this question in a test and got it correct.
Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².
What is force?A force is simply referred to as either a push or pull of an object resulting from the object's interaction with another object.
From Newton's Second Law, force is expressed as;
F = m × a
Where is mass of object and a is the acceleration
Given the data in the question;
Mass of the rock m = 55000kgForce F = 200N = 200kgm/s²Acceleration a = ?We substitute our given values into the expression above.
200kgm/s² = 55000kg × a
a = 200kgm/s² ÷ 55000kg
F = 0.0036m/s²
Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².
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WILL MARK BRAINLIEST
One number is 0.9 of another number. Their sum is 0.038. Find each number.
Answer: .018 and .02
Step-by-step explanation:
X=.9Y
X+Y=.038
X=.9Y
X=-Y+.038
-Y+.038=.9Y
-1.9Y=-.038
Y=.02
X+.02=.038
X=.018
last picture of my last question
Answer:
Step-by-step explanation:
Done
Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
A) y =
1
3
x + 1
B) y = –
1
3
x + 1
C) y = 3x – 5
D) y = –3x – 5
Answer:
A. y=1/3x+1
Step-by-step explanation:
When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:
3=1/3*6+b
3=2+b
1=b
now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1
(x) = 3x + 5, what is the value of f (5)?
Answer:
the answer is 20 .put the 5 in place of x
and u always remember that f(5) =f(x)
Step-by-step explanation:
UGHHHHHH HELPPP!!!!!!!! The sum of a number and 3 more than twice the number is less than 36. Find the number! ANSWER QUICKLYYYY
Step-by-step explanation:
Read the poem. excerpt from “Spring” by Christina Rossetti Frost-locked all the winter, Seeds, and roots, and stones of fruits, What shall make their sap ascend That they may put forth shoots? Tips of tender green, Leaf, or blade, or sheath; Telling of the hidden life That breaks forth underneath, Life nursed in its grave by Death. Which line from the poem contributes most to a hopeful tone? "Telling of the hidden life" "Frost-locked all the winter," "Life nursed in its grave by Death." "What shall make their sap ascend"
PLS ANSWER AND IF YOUR DOING IT JUST FOR POINTS ILL HAUNT YOU IN YOUR NIGHTMARES
Answer:
132
Step-by-step explanation:
Answer: 132 lb
Step-by-step explanation:
Observe the pattern here:
20 lbs * 200 = 4000 ft
50 lbs * 200 = 10,000 ft
Notice the pattern here?
Each lb covers 200 ft.
You can use this same method to find the answer.
? * 200 = 26,400 ft
Dividing by 200 on both sides, you’ll find that the answer is 132 lb.
Multiply:
x (x^2+2x+4) and -2 (x^2+2x+4)
Combine like terms.
Final Answer:
Answer:
x^3-8
Step-by-step explanation:
x^3+2x^2+4x + -2x^2-4x-8
+2x^2 and -2x^2 cancel out
+4x and -4x cancel out
Please help I'm super stuck :(
Answer:
48.3
Step-by-step explanation:
bc =9)4
b=9
c=4 sooo 9x4=36 anddd 36+12.3=48.3. :P
Answer:
48.3 is the answer.
Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
Essentially, you are just multiplying and adding.
When it says b = 9 and c = 4, that is representing the variables. Just think of the variables as x and y (which are normally used as variables).
So, in the equation, we see that b and c are together, meaning that they need to be multiplied. When we plug in the values for those variables, we see that the equation now says:
9 * 4 + 12.3 =
Now, we just multiply 9 by 4, and add 12.3.
36 + 12.3 =
48.3
This means that the equation bc + 12.3 is equal to 48.3.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
Conclusions from data - confidence intervals and margins of error
right answers only!
Answer:
Is Something supposed to be attached?
Step-by-step explanation:
PLEASE HELP ASAP I AM BEGGING YOU I NEED THIS ANSWER NOW!!!!!!!!!!!!!!!!!!!
please help me i don't understand this and i kind of need to for the test sooooo PLEASE HELP MEEEEE
Answer:
lol
Step-by-step explanation:
do you go to meridian
Answer:
i gotchuuu
Step-by-step explanation:
the answer is 118w of just 118
if u got What sApp I can explain it more on there if u want but that's the only thing I have so u might wanna get it if u want me to help u
Arturo asked all of his classmates if they prefer soccer or football. He found that 16 students prefer football while 20 prefer soccer. Which ratio represents the number of students who prefer soccer to the total number of students in Arturo’s class? StartFraction 5 Over 9 EndFraction StartFraction 4 Over 5 EndFraction StartFraction 5 Over 4 EndFraction StartFraction 9 Over 4 EndFraction
Answer: 4/5 (B)
Step-by-step explanation:
The ratio is 5/9 represents the number of students who prefer soccer to the total number of students in Arturo’s class
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
To determine the ratio represents the number of students who prefer soccer to the total number of students in Arturo’s class
Here the number of students who prefer soccer = 20
The total number of students in Arturo’s class = 20 + 16 = 36
According to the given situation, the required ratio is written as:
The required ratio = students who prefer soccer / total number of students
The required ratio = 20 / 36
Convert the above fraction into the simplest form
The required ratio = 5/9
Therefore, the ratio is 5/9 represents the number of students who prefer soccer to the total number of students in Arturo’s class
Learn more about the Ratios here:
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A football game in 60 minutes. There are 3:25 minutes left on the clock in the 3rd quarter. How many minutes and seconds have been played?
Answer:
11:35
Step-by-step explanation:
What is the fractional form for point A? Options: -3/4 -1/4 1/4 7/8
What is the approximate decimal form for point B? Options: 1.2 1.16 -1.16 0.857
Answer: A -3/4
B 1.6
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
just did the quizz good luck <3
What fraction does Point A on the number line below represent?
A. 4/8
B. -4/8
C. 2/8
D. -2/8
Answer:
D
Step-by-step explanation:
There is 8 parts and its negative and its 2/8
Answer: The answer is D or 2/8
Step-by-step explanation:
I need help ASAP plz
Answer:
With what?
Step-by-step explanation:
Answer:
cant help uoi b1t ch
Step-by-step explanation:
Drag the correct word into the space provided in order to complete the sentence.
If an outlier is included in a data set the....... is least affected
mean , median, range or standard deviation
Answer:
mean for the the second median for the 1st one
Step-by-step explanation:
Explain why SSA is not a criterion for triangle congruence.
Answer:
i think you got it by now
Step-by-step explanation:
Answer:
Step-by-step explanation:
four shortcuts allow students to know two triangles must be congruent: SSS, SAS, ASA, and AAS. Knowing only side-side-angle (SSA) does not work because the unknown side could be located in two different places. ... Because there are 6 corresponding parts 3 angles and 3 sides, you don't need to know all of them.
Could you guys help me solve 9 I would appreciate it :)
Answer:
Step-by-step explanation:
12<18/3(-2)+12 turns into 12<18/-6+12
False
The body mass of a bird?
A) categorical
B)Discrete
C)continuous
Answer:
Categorical
Step-by-step explanation:
Please help Algebra 1
Answer:
D
Step-by-step explanation:
John is about to take a 75-item multiple-choice test. If he finishes an average
of 5 items every 3 minutes, how long will it take him to complete the test?
1. 15 minutes
2. 25 minutes
3. 45 minutes
4. 60 minutes
Answer:
It will take John 45 minutes (option 3 or C) to finish the test.
Step-by-step explanation:
We know that John is about to take a 75-item quiz. If he finishes 5 items every 3 minutes, then we can divide 75 by 5.
75 ÷ 5 = 15
Now, let's multiply 15 minutes by 3 minutes to get the total amount of minutes.
15 x 3 = 45 minutes
Therefore, it will take John C. 45 minutes to finish the test.
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
Someone PLZ help me plz :
Answer:
2/8
Step-by-step explanation:
hi
Answer:
1/8
Step-by-step explanation:
when adding or subtracting fractions, we will always want the denominators to be the same.
so
We multiply the denominator 4 by 2 so we get an equal denominator of 8.
3/8 - 2/8
and we subtract numerators which will give us:
1/8
Please may someone help me with this question thank you
Answer:
C. [tex]\frac{12}{7}[/tex]
Step-by-step explanation:
To find the slope when you know two points, use this formula:
M = y₂ - y₁ ÷ x₂ - x₁
M = (4 - (-8)) ÷ (0 - (-7))
M = 12 ÷ 7
M = [tex]\frac{12}{7}[/tex]
Hope that helps.