Answer:
The answer is "0.666667".
Step-by-step explanation:
Given value:
[tex]1 \text{cup of lemon-lime} : 1 \frac{1}{2} \text{cups of punch}[/tex]
calculate value:
[tex]\to 1\ \text{cup of lemon-lime} : \frac{3}{2} \ \text{cups of punch}[/tex]
[tex]\to 1 \div \frac{3}{2}\\\\\to \frac{1} {\frac{3}{2}}\\\\\to \frac{1} {\frac{3}{2}}\\\\\to 1 \times \frac{2}{3}\\\\\to \frac{2}{3}\ \ \ \ Or \ \ \ \ 0.666667[/tex]
what is y=4/5x-7 in graph form?
Answer:
Use a graphing calculator.
Step-by-step explanation:
Solve the equation 4+6x+5=7x
Rachel wants to use cottage cheese and yogurt to increase the amount of protein and calcium in her daily diet. An ounce of cottage cheese contains 3 grams of protein and 12 milligrams of calcium. An ounce of yogurt contains 1 gram of protein and 44 milligrams of calcium. How many ounces of cottage cheese and yogurt should Rachel eat each day to provide 57 grams of protein and 840 milligrams of calcium?
Answer:
She needs to eat 5 ounces of cheese and 1 ounce of yogurt
Step-by-step explanation:
Rachel should have 15 ounces of yogurt and 14 ounces of cheese.
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: An ounce of cottage cheese contains 3 grams of protein and 12 milligrams of calcium. An ounce of yogurt contains 1 gram of protein and 44 milligrams of calcium. let Rachel have x ounces of cheese and y ounces of yogurt. Then we have the following equations
3x+y=57
0.012x+0.044y=0.84
Solving these two equations we get y=15.3 or 15 ounces (approx)
and x= 13.9 or 14 ounces(approx) respectively.
Hence, Rachel should have 15 ounces of yogurt and 14 ounces of cheese.
Learn more about the solutions of linear equations here:
https://brainly.com/question/545403
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The cost to rent a scooter in a busy metropolitan area is $25 plus $0.60 per mile. If Michael spent $43.20 to ride a scooter one day, what is the meaning of .60m in the equation shown here? 25 + 0.60m = 43.20 1:The initial cost before riding the scooter. 2:The total cost per miles. 3: The total cost for the day. 4: None of the above.
Help needed immediately! Please! Need answers!
Answer:
0.60 m is total cost paid per mile
Step-by-step explanation:
Given:
Cost of renting a scooter = $25
Extra cost = $0.60 per mile
Total cost = $43.20
Find:
Meaning of 0.60 m
Computation:
25 + 0.60 m = 43.20
0.60 m = 43.20 - 25
0.60 m = 18.2
m = 30.33 mile
So,
0.60 m is total cost paid per mile
If = 7, then x must be _____. 7 14 49 Irrational
Answer:
x is 49
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
i just took the test
9. The regular price of an item at a store is p
dollars. The item is on sale for 20% off the regular
price. Some of the expressions shown below
represent the sale price, in dollars, of the item.
Expression A: 0.2p
Expression B: 0.8p
Expression C: 1 -0.2p
Expression D:p -0.2p
Which two expressions each represent the sal
price of the item?
A Expression A and Expression E
B Expression B and Expression C
C Expression B and Expression D
D Expression C and Expression D
Answer: C: Expression B and D
Step-by-step explanation:
Say the item is $100. 20% of 100 is equal to 100 (20/100)
When you simplify, it equals 20. So 20% of 100 is 20. This $20 is the amount of discount you receive.
So you have to subtract $20 from the $100 to find the sale price. The sale price is $80.
Now plug in 100 for p in each equation. The equation that equals 80 is the answer.
Only equation B and D equals 80 when 100 is plugged in.
Lily bought 4 pairs of jeans at a cost of $39 each. How much money did she give the clerk
At a butcher shop, bought lb of beef and some pork. Left with lb of meat. Express the number of pounds of pork bought using a decimal. bought nothing lb of pork.
Answer:
15.11 lb
Step-by-step explanation:
At a butcher shop, Hilda bought 4 17/20 lb of Beef and some pork. She left with 19 24/25 lb of meat. Express the number of pounds of pork she bought using a decimal
so Hilda bought ? lb of pork
Beef = 4 17/20 lb
Pork = x lb
Total Meat = 19 24/25 lb
Using decimal to express the pound of pork she bought, convert the pounds of beef and total meat she bought into decimal
Beef = 4 17/20 lb = 4.85 lb
Total Meat = 19 24/25 lb = 19.96 lb
Total meat = Beef + pork
19.96 lb = 4.85 lb + x lb
Subtract 4.85 from both sides
19.96 - 4.85 = 4.85 + x - 4.85
15.11 = x
x= 15.11 lb
Therefore, pounds of pork she bought = 15.11 lb
4 A store sells two brands of hand lotion. Brand X costs $3.25 for 5 fluid ounces.
Brand Y costs $6.00 for 8 fluid Ounces. How much less per fluid ounce does
Brand X cost than Brand Y? Show your work.
Answer:
$0.10 less
Step-by-step explanation:
First you need to find how much for one fluid ounce, so for Brand X you would divide 3.25 by 5 to get 0.65 and for Brand Y 6.00 divided by 8 to get 0.75. Now you know how much for 1 ounce of each brand so next you just have to subtract 0.65 (Brand X) from 0.75 (Brand Y) to get that Brand X costs $0.10 less than brand y
7. If the age of a father is 6 times the age of his son and the total age of the father and his
son is 42, find their ages.
Solution
8. There are only two kinds of fruit for sale, apple and orange. The prices of an apple
and an orange are $4 and $5 respectively. On a certain day, the number of apples
sold is 6 times the number of oranges sold and the sum of money for the fruit sold is
$1 479. Find the total number of fruit sold that day. HKDSE reference 17 Paper 1
Solution
7. The son's age is 6 and his father's is 36.
Let the age of the son be [tex]x[/tex] and the age of his father be [tex]y[/tex],
[tex]x+y=42\\6x=y[/tex]
substitute [tex]6x[/tex] for [tex]y[/tex] in [tex]x+y=42[/tex] to find the age of the son:
[tex]x+y=42\\x+6x=42\\7x=42\\x=6[/tex]
since [tex]6x=y[/tex], substitute the value of [tex]x =6[/tex] to find the age of the father:
[tex]6x=y\\x=6\\y=6*6\\y=36[/tex]
8. The total number of fruit sold is 304.
Let oranges be [tex]x[/tex] and apples be [tex]y[/tex],
[tex]4x+5y=1479\\y=6x[/tex]
substitute [tex]6x[/tex] to find the number of oranges:
[tex]4x+5y=1479\\4x+5(6x)=1479\\4x+30x=1479\\34x=1479\\x=43.5[/tex]
now solve for [tex]y[/tex] to find the number of apples:
[tex]y=6x\\y=6*43.5\\y=261[/tex]
add the two together to find the total number of fruit:
[tex]x+y = 43.5+261=304.5[/tex] ≈ [tex]304[/tex] (rounded up because fruit count is a whole number)
what is the slope? m=?? urgent due friday 8/28
Answer: y=-2/3x+3
hope this helped
Please help 20 points to brainliest!!
Answer:
41
Step-by-step explanation:
You are going up by 4 for every term. So, for the 13th term, you're going up by 4*13= 52.
However, -7 is a term itself. -7 is the 1st term. If you added 52 to -7, that would be the 14th term! So, we will subtract 4 when we add 52 to -7.
-7+52=45
45-4=41
The answer is 41!
Hope this helps!
Answer:
D
Step-by-step explanation:
So first, we can see that this is an arithmetic sequence since each subsequent value is 4 greater than the previous one.
To find the value of the 13th term, we can construct an explicit formula for the sequence. Recall that an explicit formula of an arithmetic sequence has the following format:
[tex]x_n=a+d(n-1)[/tex]
Where n is the nth term, a is the initial term, and d is the common difference.
So, we already know that a is -7 the initial term. And also, every term is +4 than the previous one. Thus, the common difference is 4.
Plugging in all into the equation, we have:
[tex]x_n=-7+4(d-1)[/tex]
So, to find the 13th term, use 13 for n:
[tex]x_{13}=-7+4(13-1)\\x_{13}=-7+4(12)[/tex]
Simplify:
[tex]x_{13}=-7+48\\x_{13}=41[/tex]
So, the 13th term is 41.
The answer is D.
QS bisects angle PQR. If angle PQS=5x and angle RQS=2x+6, then what is angle PQR?
Answer: the answer is 20
Step-by-step explanation:
I had the same question and did my math and got it right
My cousin needs help on all the questions. Please help him he is failing math
Answer:
(a) more
(b) less
(c) more
(d) greater
(e) Left to right: Susan, George, Antonio, Maria
Step-by-step explanation:
When a point total is lower, more points are needed to stay in the game.
__
(a) Maria's total is less than -30, so she needs more than 30 to stay in the game. Phone #4 is the only one indicating a need of more than 30, so it is Maria's.
__
(b) Susan's total is greater than -25, so she needs less than 25* to stay in the game. Phone #1 is the only one indicating a need of less than 25, so it is Susan's.
__
(c) George's point total is lower than Susan's, so he needs more points than Susan. Susan's phone indicates she needs 20 points. Since George needs 5 more points, his is phone #2.
__
(d) Antonio needs 15 fewer points than Maria, so his total is more than Maria's total. Maria's phone indicates she needs 45 points, so Antonio only needs 30 points. His is phone #3.
__
(e) Susan needs 20, George needs 25, Antonio needs 30, Maria needs 45.
_____
* If we assume whole numbers of points, a total of "greater than -25" might be a total of -24. To bring the score to a positive value (1), exactly 25 points might be needed. That is, there is some ambiguity in part (b) in that Susan might need less than or equal to 25 points. Susan's phone could be either the first or the second.
The problem is poorly worded. The answer choices above are consistent with the problem statement overall.
-x +2xy - 3y for x = -4 and y = 5
Answer:
4-40-15=-21
Step-by-step explanation:
you just replace x and y for the given numbers in this problem
A bike has been marked up by 15%. If its original price was $300, what is the selling price?
Answer:
$345
Step-by-step explanation:
Cp= $300
MP= 115%×$300
=$345
HELP PLEASEEE AND ANSWER FAST!:))
I don't get it, what are you suppose to do?
5x+1≤−14 or −4x+6<10
help
Answer:
x≤−3 or x>−1
Step-by-step explanation:
Combine like terms
Isolate your variable x
Answer:
x<-3 or x>1
Step-by-step explanation:
you would just subtract 1 from both sides on the first one so you get 5x<-15 which can be x<-3 and for the second one -4x+6<10 subtract 6 so you get -4x<4 and divide by -4 which is x>1
What’s the transformations from y= x^2 for the following equation: h(x)= 2(x-5)-8
Windows are cleaned at a house every 7 days.
Milk is delivered to the same house every 3 days.
On the 3rd June, the windows are cleaned and milk is delivered.
What is the next date when both happen on the same day?
Answer: 24th
7-14-21
3-6-9-12-15-18-21
plus the three extra days gets you the 24th
TWO PART QUESTION! 50 POINTS FOR BOTH ANSWERS Usain Bolt set a world record of 9.58 seconds for the 100 meter dash. White-tailed deer can run at 48 kilometers per hour for short periods. We want to compare their speeds, but notice that the given speeds are not using the same units. So, we need to convert the deer's speed from kilometers per hour to meters per second. How many meters per second does the deer run? (Hint: remember that there are 1,000 meters in a kilometer, 60 seconds in a minute, and 60 minutes in an hour.) A) 1.33 m/sec B) 48,000 m/sec C) 800 m/sec D) 13.33 m/sec Usain Bolt set a world record of 9.58 seconds for the 100 meter dash. White-tailed deer can run at 48 kilometers per hour for short periods. If Mr. Bolt and a white-tailed deer run a 100 meter dash at these speeds, who would win, and by how much? (Hint: Be sure to use your answer from #2 to solve this problem. You may want to figure out exactly how long it will take the deer to run 100 meters.) A) Deer wins by 2.08 seconds B) Mr. Bolt wins by 3.75 seconds C) Mr. Bolt wins by 2.08 seconds D) Deer wins by 3.75 seconds
Answer:
Part A) = D) 13.33 m/sec
Part B) = A) Deer wins by 2.08 seconds
Step-by-step explanation:
Part A)
From the question in Part A, we know that, the White-tailed deer can run at 48 kilometers per hour for short periods. We were asked in the question, How many meters per second does the deer run?
The question gave us this (Hint: remember that there are 1,000 meters in a kilometer, 60 seconds in a minute, and 60 minutes in an hour.)
1 km = 1000 meters
48 km = x meters
Cross Multiply
= 1km × x meters = 48km × 1000 meters
x meters = 48km × 1000 meters/1 km
= 48000 meters/ hour
The speed of the dear = 48000 meters/ hour
We have to convert this to meters/ seconds
60seconds = 1 minute
60 minutes = 1 hour
Therefore, the number of seconds in one hour = 60 × 60
= 3600 seconds
Hence 48000meters/hour to meter per Seconds
= 48000meters/3600 seconds
= 13.333333333 meters/seconds
= 13.33m/s
Part B
From Part B Question, we know that Usain Bolt set a world record of 9.58 seconds for the 100 meter dash.
White-tailed deer can run at 48 kilometers per hour for short periods.
If Mr. Bolt and a white-tailed deer run a 100 meter dash at these speeds, who would win, and by how much?
Using our answer in Part A,
We know that the deer runs
48,000 meters in 3600 seconds.
The first step would be to find how many seconds it can run in an 100 meter race
Hence,
48,000 meters = 3600 seconds
100 meters = y seconds
We cross Multiply
48,000 meters × y seconds = 3600 seconds × 100 meters
y seconds = 3600 seconds × 100 meters/ 48,000 meters
y second = 7.5 seconds
This means, the deer can run a 100 meter dash in 7.5 seconds.
From the question, we know that Usain Bolt set the record of 9.58 seconds for an 100 letter dash.
The difference between both times for the Usain Bolt and the Deer = 9.58seconds - 7.5 seconds
= 2.08 seconds
Therefore the winner is the Deer , because it finishes the race is a shorter time of 7.5 seconds and wins by 2.08 seconds. Therefore, Option A) Deer wins by 2.08 seconds is correct
Guys I need help ASAP please!!!
Find the value of x if B is the midpoint of AC, AB = 2x + 9 and BC = 37.
Answer:
14
Step-by-step explanation:
B is the midpoint of AC, in other words it is the halfway point.
So A to B should be equal to B to C
Our expression is:
2x + 9 = 37
Subtract 9
2x = 28
Divide by 2
x = 14
A Farmer Watered 3/8 of a field, What Percentage to the Fraction of the field the farmer watered?
Answer:
37.5%
Step-by-step explanation:
3/8 = 37.5%
Consider the functions f(x) = 3x - 5.
Evaluate f(-4).
X= -4, so when you plug it in and solve the problem you'll get x= -17 Reason: 3(-4)= -12+ -5 Which equals -17.
Quadrilateral A has side lengths 2,3,5 and 6. Quadrilateral B has side lengths 4,5, 8 and 10. Could one of the quadrilaterals be a scaled copy of one another
Answer:
No
Step-by-step explanation:
Given
Quadrilateral A: 2,3,5 and 6
Quadrilateral B: 4,5, 8 and 10
Required
Determine if one is a scale of another
To do that, we have to divide the corresponding lengths to give ratio.
Considering Side of A = 2 and Side of B = 4
[tex]Ratio = \frac{B}{A}[/tex]
[tex]Ratio = \frac{4}{2}[/tex]
[tex]Ratio = 2[/tex]
Considering Side of A = 3 and Side of B = 5
[tex]Ratio = \frac{B}{A}[/tex]
[tex]Ratio = \frac{5}{3}[/tex]
[tex]Ratio = 1.67[/tex]
There's no need to check further, since the two ratios calculated so far do not have the same value;
Hence, one quadrilateral is not a scale of the other
Please help with math
Answer:
24420.5
Step-by-step explanation:
Multiply all the numbers together to get the length of the cubiod
221*8.5*13= 24420.5
Hope this helped!
Answer:
[tex]\Huge \boxed{\mathrm{2 \ cm }}[/tex]
Step-by-step explanation:
[tex]\sf Volume \ of \ cuboid= length \cdot width \cdot height[/tex]
The width is 8.5 cm.
The height is 13 cm.
The volume is 221 cm³.
[tex]221 = l \cdot 8.5 \cdot 13[/tex]
Solving for [tex]l[/tex]
[tex]221=l \cdot 110.5[/tex]
Dividing both sides by 110.5
[tex]2=l[/tex]
The length is 2 cm.
At a butcher shop Karl bought 8 17/25lb of beef and some pork. He left with 17 1/4lb of meat. Express the number of pounds of pork he bought using a decimal.
Answer:
17 1/4 lb = 17.25 pounds
Step-by-step explanation:
Karl bought
Beef=8 17/25 lb
Pork= 17 1/4 lb
Express the number of pounds of pork he bought using a decimal
Pork= 17 1/4 lb
1 lbs to pound = 1 pound
17 1/4
= 69/4
=17.25 pounds
Alternatively
17 whole number
1/4=one quarter=0.25
Now 17 + 0.25
=17.25 pounds
Beef=8 17/25 lb
Beef to pound in decimal
8 whole number
17/25=0.68
8+0.68 = 8.68 pounds
Beef= 8.68 pounds
Pork=17.25 pounds
18=30-r30 solve for r
Answer:
r =
Step-by-step explanation:
r=30√12,−30√12
Answer:
r=2/5
Step-by-step explanation:
The B737-400 aircraft flies an average speed of 400 miles per hour.The expression 400t gives the distance traveled by the aircraft in t hours. Find the distance traveled in 5 hours.
Answer:
The distance travelled by the B737-400 aircraft in 5 hours is 2,000 miles
Step-by-step explanation:
Average speed = 400 miles per hour
Distance = 400t
t= 5
Total distance = 400t at t hours
Total distance when t = 5 hours
Total distance travelled = 400t
= 400 × 5
= 2,000 miles
Total distance travelled = 2,000 miles
The distance travelled by the B737-400 aircraft in 5 hours is 2,000 miles
.