Answer:
170Step-by-step explanation:
given:
Ann, Ben, and Cindy were eating strawberries.
The ratio of the numbers of berries they ate is 5:5:7.
If Cindy ate 30 strawberries less than Ann and Ben together,
find:
what is the total number of strawberries the three of them ate?
solution:
add the ratios 5 + 5 + 7 = 17
since Cindy ate 30, less than Ann and Ben together so, the equation is
7x = 5x + 5x - 30
7x - 10x = -30
x = 30/3
x = 10
ann 5 x 10 = 50
ben 5 x 10 = 50
cindy 7 x 10 = 70
total = 170
==============================================
Explanation:
A = number Ann ate
B = number Ben ate
C = number Cindy ate
Let x be some positive whole number
Since A,B,C is in the ratio 5:5:7, this means
A = 5x
B = 5x
C = 7x
Note how A:B:C = 5x:5x:7x = 5:5:7. We divide all parts by x to simplify the ratio.
-------------------
Cindy ate 30 strawberries less than Ann and Ben, so
C = A+B-30
C = 5x+5x-30
C = 10x-30
Earlier in the last section we had C = 7x, and now we found C = 10x-30
Since we're talking about the same C value, we can equate and solve
C = 7x
10x-30 = 7x ... replace C with 10x-30
10x-7x = 30
3x = 30
x = 30/3
x = 10
------------------
With this x value, we now know that...
A = 5x = 5*10 = 50
B = 5x = 5*10 = 50
C = 7x = 7*10 = 70
Cindy's count (70) is 30 less than Ann and Ben's combined count (50+50 = 100), so that helps confirm the answer.
Further confirmation comes from 50:50:70 reducing to 5:5:7 when you divide all parts by the GCF 10.
--------------------
The last step is to add the values of A, B and C.
A+B+C = 50+50+70
A+B+C = 100+70
A+B+C = 170
---------------------
Side note: since A+B+C = 5x+5x+7x = 17x, this means that the final answer is a multiple of 17.
Eliza walked 1 1/2 miles in 2/3 of a hour. what is her walking rate in miles per hour?
16. (a) Find the Highest Common Factor (HCF) of 30 and 42.
Answer: 6
Step-by-step explanation: By checking the factors of both numbers, you see that 6 is their greatest common factor.
30: 1, 2, 3, 5, 6, 10, 15, 30
42: 1, 2, 3, 6, 7, 14, 21, 42
Hope this helps!
if a person ran 1/2 of a mile in 1/10 of an hour. How far will the person run in one (1) hour?
Step-by-step explanation:
In 1/10 of 1hr = 1/2 mile
10*(1/10) of 1hr = 10(1/2) mile
(10/10) of 1hr = (10/2) mile
1 of 1hr = 5mile
It says, he can run 5 miles in 1 hour
a cruise ship sailed for 9 hours at a speed of 18 miles per hour how far did a cruise ship sell
Answer:
162 miles
Step-by-step explanation:
Step 1:
9 : 18 Rate
Step 2:
9 × 18 Equation
Answer:
162 miles Multiply
Hope This Helps :)
400 reduced by twice my age is 68 how old am i
hope it helps.........
Identify next 3 numbers in this sequence 2,6,3,9,6,18,15
Which one is bigger -4 or - 11 ??
Answer:
-4
Step-by-step explanation:
-4 is closer to 0 and -11 is further from xero making it it a less value than -4
Arrange the steps to solve the equation V3+3-V23-1= -2.
-Simplify to obtain the final radical term on one side of the equation.
-Raise both sides of the equation to the power of 2.
-Apply the Zero Product Rule.
-Use the quadratic formula to find the values of x.
-Simplify to get a quadratic equation
-Raise both sides of the equation to the power of 2 again.
Answer:
1. Raise both sides of the equation to the power of 2.
2. Simplify to obtain the final radical term on one side of the equation.
3. Raise both sides of the equation to the power of 2 again.
4 . Simplify to get a quadratic equation.
5. Use the quadratic formula to find the values of x.
which set of order pairs represents a function?
Answer:
3rd line
Step-by-step explanation:
what is the value of the expression if m=2 and n-6?
Answer:
where is the expression
Step-by-step explanation:
（＾_＾）（＾_＾）（＾_＾）
Choose Yes or No to indicate whether the statement is correct.
5,212 ÷ 17 is 306 r10
A Yes B No
8,793 ÷ 42 is 209 r15
A Yes B No
1,272 ÷ 24 is 52
A Yes B No
Answer:
Step-by-step explanation:
5,212 ÷ 17 is 306 r10
A Yes B No
8,793 ÷ 8,793 is 209 r15
A Yes B No
1,272 ÷ 24 is 52
A Yes B No
Question 9 What are the disadvantages of using a histogram instead of a dot plot?
Answer:
A histogram shows the frequencies of data in different intervals. So, you cannot read individual values off a histogram alone. With a detailed enough dot plot, you could get very close to the actual team payrolls for each league. A histogram does not give this precision.
Step-by-step explanation:
Plato sample answer
Please answer this for me :)
Answer:
d = 1.5
Step-by-step explanation:
yes
Answer:
1.5
Step-by-step explanation:
First put like terms on one side:
-3/8d - 1/2d = -11/16 - 5/8
then make the demominators the same:
-3/8d - 4/8d = -11/16 - 10/16
add up the terms:
-7/8d = -21/16
solve for d:
d= 1.5
Which statements are true about points A, B, and C? Check all that apply.
Answer:
b
Step-by-step explanation:
Answer:
2 & 5
Step-by-step explanation:
please hurry aliviabettis
Answer: ummm......real life confusion 101 but, ighty den. i'm not finna ask questions
Which expression represents a quadratic expression in complete factored form?
A. (x+4)(x-3)
B. (x-1)(3x-9)
C. (2x+4)(x+3)
D. (x-2) + (x+3)
ANSWER PLSSSSSSSSSSSSS, thanks.
Answer:
A. (x+4)(x-3)
Step-by-step explanation:
x+4=0 or x-3=0
x=-4 or x=3
Answer:
Have a great rest of your day :)
Step-by-step explanation:
‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 +
Answer:
i am soooooooooooooooooo counfused
Answer:
12
Step-by-step explanation:
Left:
Simplify the following:
-9 - -12
-(-12) = 12:
-9 + 12
-9 + 12 = 3:
Answer: 3
______________________
Right:
Do the following addition:
-9 + 12
The number -9 is negative. Start from 0 and move 9 to the left:
Show the addition of 12 to -9. Start from the end of the previous arrow and move 12 to the right:
The final arrow is pointed at 3. This is the answer:
Answer: 3
what is 32221 x444444444444
Answer: 1.43
Step-by-step explanation:
Answer:
1.432044444444301e+17
Step-by-step explanation:
The price of a stock in a company drops $27 every hour. What integer represents
the change in the Stock price after 5 hours?
Answer:
2.25 and 11.25
Step-by-step explanation:
27/12=2.25 twelve is the number of hours and 27 is the total drop in price
2.25*5=11.25 because 2.25 is the drop per hour you want to multiple that by five hours.
How do you do this question?
Answer:
bn = 1 / n
Step-by-step explanation:
We want to show the series an diverges. So we need to find a smaller function bn that diverges. That means we can eliminate options C and D, both of which converge.
an = (3 + sin(n) + e⁻ⁿ) / (2n − 1)
Sine is between -1 and +1, and e⁻ⁿ approaches 0 as n approaches infinity. So the numerator is a minimum of 2 as n approaches infinity. So we can make a new function:
an = 2 / (2n − 1)
Let's look at option B: bn = 4 / √n = 2 / (½√n).
½√n is less than 2n − 1, so bn is greater than an. We can't use that to show that an diverges.
Now let's look at option A: bn = 1 / n = 2 / (2n).
2n is greater than 2n − 1, so bn is less than an. Since bn diverges, an must also diverge.
i need help with this!
Answer:
to convey the parametric expression to be use the explosions
Which is greater 6/12 or 1/3
Answer:
1/3 is bigger
Step-by-step explanation:
6/12 might look bigger but its not
PLEASE MARK AS BRAINLIEST
n= 9c-80 solve for c. if n= 19 what is the value of c?
Answer:
Step-by-step explanation:
n = 9c - 80
n = 19
19 = 9c - 80
-9c = -80 - 19
-9c = -99
c = 99 / 9
c = 11
Hope this helps
plz mark as brainliest!!!!!!
A
2) A data set shows the number of minutes
each of 153,477 students takes to
complete a reading test. The median
completion time is 110 minutes. The
interquartile range is 34. Which statement
about the completion times is most likely
to be true?
A. Of these students, 25% complete the test in 110 minutes or less.
B. Of these students, 50% complete the test in 110 minutes or less.
c. Of these students, 75% complete the test in 127 minutes or less
O D.Of these students, 75% complete the test in 144 minutes or less.
Answer: it's b.
Step-by-step explanation:
2 QUESTIONS: 1. Based on the diagram and congruent marks, what would be a correct congruence statement and the most likely reason the triangles might be congruent? (picture included) 2. Based on the diagram and congruent marks, what would be a correct congruence statement and the most likely reason the triangles might be congruent?
Answer:
Step-by-step explanation:
number one is SAS
1. B. ΔJKE ≅ ΔLYE because SAS.
2. E. No enough information to prove the triangles are congruent.
What is the SAS Theorem?The SAS theorem is a triangle congruence theorem which states that two triangles which have two pairs of corresponding sides that are congruent and a pair of corresponding included angles that are congruent are congruent triangles.
1. Based on the SAS theorem we can conclude that: B. ΔJKE ≅ ΔLYE because SAS.
2. In the triangles given, we are only given that they have two pairs of corresponding congruent sides. No known congruent sides were given. Therefore, we don't have enough information. The answer is: E. No enough information to prove the triangles are congruent.
Learn more about SAS theorem on:
https://brainly.com/question/2102943
#SPJ9
How much money will it cost to buy the paint? Show all work
Answer:
Step-by-step explanation:
Circle:
diameter = 30 ft
r = 30/2 = 15 ft
Area = πr²
= 3.14 * 15*15
= 706.50 square feet
Triangle:
base (b) = 30 ft
height (h) = 20 ft
Area = [tex]\frac{1}{2}bh[/tex]
[tex]=\frac{1}{2}*30*20\\\\=30*10[/tex]
= 300 square feet
Area of four triangles = 4 * 300
= 1200 square feet
Area to be painted blue = area of circle + area of 4 triangles
= 706.50 + 1200
= 1906.50 square feet
Area painted by one bucket blue paint = 350 sq. feet
Number of paint buckets needed = 1906.50 ÷ 350
= 5.44
= 6
6 buckets of blue paint is needed.
Cost of 6 buckets of blue paint = 85.50 * 6
= $ 513
Each part of the design needs two coats.
So Cost for two coats = 2 * 513
= $ 1026
Square:
Side = 40 ft
Area of square = side *side
= 40*40
= 1600 sq. ft
Area of square to be painted yellow = area of square - area of circle
= 1600 - 706.50
= 893.50 sq.ft
Area painted with one bucket of yellow paint = 250 sq. ft
Number of yellow paint buckets needed = 893.50 ÷ 250
= 3.574
= 4
4 buckets of yellow bucket is needed
Cost of 4 buckets of yellow bucket = 64.50 * 4
= $ 258
Each part of the design needs two coats.
So Cost for two coats = 2 * 258
= $ 516
what is the rate of change for the liner relationship modeled in the table?
i'm sorry wheres the picture?
At one gas station gas cost $2.75 per gallon write an equation that relates the total cost C to the number of gallons of gas purchased G write as algebraic expression with variables for an answer
can you guy help me quick wit this please
What is the answer to this