Given:
The stand sold 4 cherry snow cones for every 1 lemon snow cone sold.
There were 30 more cherry snow cones than lemon snow cones sold yesterday.
To find:
The number of snow cones which were sold altogether.
Solution:
Let x be the number of lemon snow cone sold.
The stand sold 4 cherry snow cones for every 1 lemon snow cone sold.
So, number of cherry snow cone sold = 4x
There were 30 more cherry snow cones than lemon snow cones sold yesterday.
[tex]4x-x=30[/tex]
[tex]3x=30[/tex]
Divide both sides by 3.
[tex]x=\dfrac{30}{3}[/tex]
[tex]x=10[/tex]
Total number of snow cones sold is
[tex]\text{Total number of snow cones sold }=x + 4x[/tex]
[tex]\text{Total number of snow cones sold }=5x[/tex]
[tex]\text{Total number of snow cones sold }=5(10)[/tex]
[tex]\text{Total number of snow cones sold }=50[/tex]
Therefore, 50 snow cones were sold altogether.
By what percent will the product of two numbers change if one of them
increased by 20% and the other decreased by 20%?
Answer: The answer is 4% I hope it helps
Step-by-step explanation:
Step-by-step explanation:
4% I hope it serves you <)
1/3(1/2x-12)=1/2(2x+16)
Answer:
Rank Topic Problem Formatted Problem
1 Factor x^2‑4 x2−4x2‑4
2 Factor 4x^2+20x+16 4x2+20x+164x2+20x+16
3 Graph y=‑x^2 y=−x2y=‑x2
Step-by-step explanation:
In the above figure, m∠A = 30° and m∠B = (2x + 10)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A.
x = 55, m∠B = 60°
B.
x = 25, m∠B = 60°
C.
x = 70, m∠B = 150°
D.
x = 25, m∠B = 50°
Answer:
Step-by-step explanation:
option B
Complementary angles add up to 90°
m∠A + m∠B = 90
30 + 2x + 10 = 90
2x + 40 = 90
To find the value of x, we have to isolate x. To isolate x, first we have subtract 40 from both sides.
2x = 90 -40
2x = 50
Now, divide both sides by 2
x = 50/2
x = 25°
∠B = 2x + 10
= 2*25 + 10
= 50 + 10
∠B = 60°
So what is the answer to this x+2=7+8
Answer:
x = 13
Step-by-step explanation:
x = 7 + 8 - 2
x = 7+6 = 13
just move 2 to the other side
a store is charged $5.50 each for calculators and a delivery of $25 for the order. If stores sells the calculators for $8 each, how many calculators must be sold to produce a profit of at least $80?
Answer:
a store is charged $5.50 each for calculators and a delivery of $25 for the order. If stores sells the calculators for $8 each, how many calculators must be sold to produce a profit of at least $80?
Step-by-step explanation:
Cost minus the charge which is 8 dollars minus 5.50 is the difference in which you divide 80 by it. 8-5.50= 2.5. 80 divided by 25 = 32. Hope this is the answer you're looking for.
pls answer it pls pls pls
a. ΔECR and ΔACR have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.
b. ΔTSE and ΔNOH have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.
What are Congruent Triangles?Congruent triangles are triangles that have the corresponding sides and angles that are congruent to each other and they have the same shape and size.
a. The information given shows that ΔECR and ΔACR have:
three pairs of congruent sides - CR ≅ RC; EC ≅ AC; and ER ≅ AR.
Therefore, both triangles are congruent triangles by the SSS conrguence theorem.
b. The information given shows that ΔTSE and ΔNOH have:
three pairs of congruent sides - TE ≅ NH; SE ≅ OH; and TS ≅ NO.
Therefore, both triangles are congruent triangles by the SSS conrguence theorem.
Learn more about congruent triangles on:
https://brainly.com/question/2938476
What letter is located at approximately
√
22
22
?
A E
B F
C G
D H
Answer: B
Step-by-step explanation:
Help pleaseeeeeeeee
Answer:
85 Degrees
Step-by-step explanation:
Alternate Interior Angles
9x+4=85
9x=81
x=9
HELP ASAP PLEASE I BEG!!!!! YOU GET BRAINLIST IF YOU HELP PLEASE!!
Answer:
the answer is the second one, I believe I've given the answer to this before.
I need help, anyone please I’d appreciate it sm!!
The answer to the question is -4/5
For each expression, combine like terms and write an equivalent expression with fewer terms. 3x + 5x - 1
Answer:
8x-1
Step-by-step explanation:
If you combine the like terms "the ones with x" you get 8x-1.
Carlos and his friends are going to out to bowl, eat dinner, and see a movie. The starts at 8:10 p.M. And they want to arrive 20 minutes before it starts. They will bowl for one hour and dinner will take 1 hour and 15 minutes. Travel time is 20 minutes to the bowling alley, 45 minutes ta the restaurant, and ten minutes to the theater. At what time should they plan to leave Carlo's house?
Answer:
They should leave Carlo's house by 4:20 PM
Step-by-step explanation:
The movie starts at 8:10 pm, they want to arrive 20 minutes before the movie starts
20 minutes before 8:10 pm = 7:50 pm.
Hence, they should arrive by 7:50 pm
Duration of their activities before the movie is calculated as:
They will bowl for one hour and dinner will take 1 hour and 15 minutes. Travel time is 20 minutes to the bowling alley, 45 minutes ta the restaurant, and ten minutes to the theater.
: 1 hour + 1 hour 15 minutes + 20 minutes + 45 minutes + 10 minutes
= 2 hour 15 minutes + 75 minutes
= 2 hour 15 minutes +1 hour 15 minutes
= 3 hours 30 minutes in total.
The time they are meant to leave is calculated as:
7:50 pm - 3 hours 30 minutes
= 4:20pm
Choose all the fractions that are equivalent to1/7. (Click all that apply.)
4/28
7/49
7/70
2/8
2/14
5/35
Answer:
2/14, 4/28, 5/35, 7/70 or just 2/14
Step-by-step explanation:
Multiply both the numerator and denominator of 1/7 by 2, to get 2/14, or 2:14
And multiply the numerator and denominator of 1/7 by 3, to get 3/21, or 3:21. So 2:14 and 3:21 are two ratios that are equal to 1:7.
Do the ratios 4/9 and 12/20 form a proportion?
Answer:
no
Step-by-step explanation:
12/20 = 60%
4/9 = 44.44%
These are not equal.
please mark brainleyst
A river is rising at a rate of 3 inches per hour. If the river rises more than 24 inches, it will exceed flood stage. How long can the river rise at this rate without exceeding flood stage? Use the Math Quill tool to type the inequality that would be used to solve this problem. DO NOT SOLVE. I dont need the answer i just need the starting equation
Answer:
7 r 3
Step-by-step explanation:
Answer:
3r 'lesser than or equal to sign' 24
Step-by-step explanation:
Question in photo! (Please help with other questions!)
Answer:
t₁ = 14
d = -2
Step-by-step explanation:
Given :-
t₆ = 4
t₁₀ = -4
To Find :-
t₁ and d
Solving :-
t₆ = t₁ + 5d = 4 -(1)
t₁₀ = t₁ + 9d = -4 -(2)
(2) - (1)
4d = -8
d = -2
t₁ + 5(-2) = 4
t₁ = 14
Solution :-
t₁ = 14
d = -2
Write the equation of the graph shown below in factored form.
F(x) = (x - 1)^2(x - 1)(x + 3)
Ofb) = (x - 1)^2(x + 1)(x - 3)
Answer: A) f(x) = (x − 2)^2(x + 1)(x − 3)
Step-by-step explanation: The graph shows the zeros to be -1, +2 (multiplicity 2), and +3.
When b is a zero, (x-b) is a factor. Then the factors of the function shown are ...
f(x) = (x -(-1))·(x -2)·(x -2)·(x -3)
f(x) = (x -2)^2(x +1)(x -3)
how do you surprise a blind person? you leave the plunger in the toilet !
What is the solution to the linear equation: 2/5+p=4/5+3/5p
Answer:
p = 1
Step-by-step explanation:
2/5 + p = 4/5 + 3/5p
2/5 + p = 3p/5
2/5 + p = (4 +3p)/5
2 + 5p = 4 + 3p
5p = 4 + 3p - 2
5p = 3p + 2
5p - 3p = 2
2p = 2
p = 1
Please mark me the brainliest!?!
Answer: C. P = 1
Step-by-step explanation: Plug in 1 to the both p variables on both sides, and you will get the same answer for each equation.
Hope this helped. :)
What is the value of 2/11 dived by 3/11
Answer:
1/6
Step-by-step explanation:
Idk i just googled it
Which of the following expression is an algebraic expression *
23(40)
25/4
6x
12x12
Answer:
i think 6x
Step-by-step explanation:
cz we have a variable
The answer is 6x
an algebraic expression is an expression solving for a variable. in 6x the variable x is what you would be solving for.
A vase has the shape obtained by revolving the curve y=2+sinx from x=0 to x=5 about the x-axis, where x and y are measured in inches. What is the volume, in cubic inches, of the vase? A. 10.716 B. 25.501 C. 33.666 D. 71.113 E. 80.115
The volume of the vase obtained by revolving the curve y=2+sinx from x=0 to x=5 about the x-axis is 80.115 unit³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume V is given by:
[tex]V=\pi \int\limits^0_5 {(R^2-r^2)} \, dx \\\\R = 2+sinx;r=0, hence:\\\\V=\pi \int\limits^0_5 {(2+sinx)^2} \, dx\\\\V=80.115\ unit^3[/tex]
The volume of the vase obtained by revolving the curve y=2+sinx from x=0 to x=5 about the x-axis is 80.115 unit³
Find out more on volume at: https://brainly.com/question/12410983
Help with Number 1 please
< A
Answer:
The angle A for the first question is equal to 43.6 degrees
Step-by-step explanation:
1st step:
[tex]\frac{sin\theta}{20} \times \frac{sin 90}{29}[/tex]
2nd step:
Take 20 to the other side.
[tex]sin \theta = \frac{20(sin90)}{29}[/tex]
3rd step:
Solve the right side and then take the inverse sin of the right side to get the value of theta and you get 43.6 degrees
[tex]\theta = 43.6[/tex]
NEED HELP ASAP! SOLVE THE SYSTEMS OF EQUATIONS AND SHOW YOUR WORK *
mixo uses 250 ml of flour to make 10 pancakes. increase the quantity of flour so that she can make 25 pancakes.
What is the slope of the equation y = 4x - 3?
Answer:
4
Step-by-step explanation:
The slope-intercept form is mx + b = y.
According to the form, 4 = m which is also the slope.
How many square roots does the number 20 have 0 1 or 2
Answer:
Every positive real number has TWO square roots; One is positive and one is negative. They are opposites of each other.
Step-by-step explanation:
So the number 20 has 2
Help asap please I’ll give brainlyest A set of equations is given below:
Equation C: y = 4x + 8
Equation D: y = 4x + 2
Which of the following best describes the solution to the given set of equations?
O No solution
One solution
OTwo solutions
O Infinitely many solutions
Answer:
No solutions.
Step-by-step explanation:
Easy way to spot is to take the 4x term to the LHS.
[tex]y-4x = 8\\y-4x = 2[/tex]
You're required to find a quantity that is at the same time equal to both 8 and 2, which is obviously impossible.
There are two ways to figure this equation out.
Answer: O No solution
Way One - Graphing
We can graph the two equations. Points of intersection represent a solution to the set.
-> See attached.
Since there are no points of intersection, the answer is "O No solution"
Way Two - Analyzing the Equations
We can see that both of these equations have a slope of 4. We then can set them both equal to the y-intercept to see if they will have solutions.
y = 4x + 8
-> y - 4x = 8
y = 4x + 2
-> y - 4x = 2
Because 8 ≠ 2, but y - 4x = y - 4x, the answer is "O No solution"
2.) Pedro spends $23.50 at the local arcade and mini-golf course. Each round of mini-golf costs $7.50 and each
arcade game costs $2. Which of the following could be used to determine the number of arcade games Pedro can
play if he plays one round of mini-golf?
Answer:
7.50+2x=23.50
Step-by-step explanation:
I just had this question
The scatter diagram shows information about 10 cars.The 10 cars are the same type and make.
Another car is 4 years old and has been valued at £2600.
A)Show this information on the graph.
B) describe the relationship between the age and the value of the cars.
A car of the same type and make is 3 1/2 years old
C) estimate the value of the car
Answer:
a) you need to plot a cross on the graph (with the pencil) in the right place:
(x-axis: 4, y-axis: 2600)
b) the older the car is, the lower its value. there is a negative correlation between the cars age and its value.
c) you need to draw a line of best fit on the graph. where the line is at 3 1/2 years, that is its estimated value. (my guess is around £3000)
Gabriel put $6000 in a 5-year CD paying 4% interest compounded monthly. After 2 years, he withdrew all his money, and as an early withdrawal penalty, he paid back all the interest he made during the first year. How much money was Gabriel left with?
Using compound interest, it is found that Gabriel was left with $6,255.
What is compound interest?The balance, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which the parameters are given as follows:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.In the context of this problem, the values of these parameters are as follows:
P = 6000, t = 2, r = 0.04, n = 12.
The balance after two years is:
[tex]A(2) = 6000\left(1 + \frac{0.04}{12}\right)^{24}[/tex]
A(2) = 6499.
The balance after one year is:
[tex]A(1) = 6000\left(1 + \frac{0.04}{12}\right)^{12}[/tex]
A(2) = 6244.
The interest paid on the first year was:
A(1) - P = 6244 - 6000 = 244.
Hence the amount that he was left with is:
6499 - 244 = $6,255.
More can be learned about compound interest at https://brainly.com/question/24924853
#SPJ1
Answer:
Step-by-step explanation:
6254.41