in a gift store the ratio of cards to flowers was 8 to 7 if there were 56 cards how many flowers were there show how you got your answer please
Answers
Form your proportion.
8 cards 56 cards
-------------- = --------------- ⇒ 8/7 = 56/x
7 flowers ? flowers
Solve for x by cross-multiplying.
8/7 = 56/x
8x = (7)(56)
8x = 392
x = 49
Related Questions
What is the 13th term of the following arithmetic sequence?
5, 9, 13, 17,
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9 + 4 = 13
13 + 4 = 17
...
13th term = 53
Hope this helps!
Which expressions are polynomials?
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All are polynomials except the first.
Answer:
z+1 , 6 + w and [tex]2x^{4}+4[/tex] are polynomials.
Step-by-step explanation:
Given : Expressions.
To find: Which expressions are polynomials.
Solution : We have given expression
Polynomial : A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer.
So, z + 1 having variable z and contact 1 so, it is a polynomial.
6 + w is also a polynomial.
[tex]2x^{4}+4[/tex] is also a polynomial that has degree 4 .
But expression [tex]y^{2}-\sqrt[1]{y}+4[/tex] is not a polynomial because it has fractional exponent.
Therefore, z+1 , 6 + w and [tex]2x^{4}+4[/tex] are polynomials.
what is the answer please
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A tortoise is walking in the desert. It walks 12.5 meters in 5 minutes. What is its speed?
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The speed of tortoise with the given distance and time is 2.5 meters per minute.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given that, distance =12.5 meters and time =5 minutes.
We know that, Speed =Distance/Time
= 12.5/5
= 2.5 meters per minute
Hence, the speed of tortoise is 2.5 meters per minute.
To learn more about the speed, distance, and time visit:
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Average speed of Car 1 = 55 mph.
Average speed of Car 2 = 70 mph.
Time elapsed between start of Car 1 and start of Car 2 = 4 minutes.
How long before Car 2 overtakes Car 1? __hour(s).
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Answer: 11/45 hour (≈15 min.)
Class records at rockwood college indicate that a student selected at random has probability 0.75 of passing french 101. for the student who passes french 101, the probability is 0.91 that he or she will pass french 102. what is the probability that a student selected at random will pass both french 101 and french 102? (round your answer to three decimal places.)
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Signed General Penguin
P - potassium
S - sodium
L - lithium
M - magnesium
C - calcium
A - aluminium
Z - zinc
I - iron
L - lead
H - hydrogen
C - copper
S - silver
G - gold
P - platinum
To get the probability of two individual events both occurring, you have to multiply the probabilities of their individual events occurring. Therefore in this problem, the probability that a student selected at random will pass both French 101 and French 102 is 0.683 (.75 x .91). The answer is already rounded to three decimal places.
If guy walks from his house to school which is 5/10 away and back, how far does he walk?
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what is the LCM of 6 and 8
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LCM stands for "Least Common Denominator."
The LCM is the smallest common multiple of two numbers.
To find the LCM of 6 and 8, follow these easy steps.
1. Find the prime factorization of both numbers.
6 = 2 × 3
8 = 2 × 2 × 2
Next, multiply each factor the number of times we did above.
LCM = 2 × 2 × 2 × 3
LCM = 24
ANSWER:
The LCM of 6 and 8 is 24.
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
===================================================================
8 x 1 = 8
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
8 x 5 = 40
Now find the multiple that matches first (which is 24)
Your LCM is 24
jen collects toy sports cars. she has 1568 orange cars and 448 blue cars. she wants to line up the cars in groups so that each group has the same number of cars and contains only orange cars or only blue cars. What is the largest number of cars that she can have in a group?
Answers
Answer:
224 cars.
Step-by-step explanation:
We have been given that Jen has 1568 orange cars and 448 blue cars. she wants to line up the cars in groups so that each group has the same number of cars and contains only orange cars or only blue cars.
To solve our given problem, we will find greatest common factor of 1568 and 448.
Prime factorization of 1568: [tex]2\times 2 \times 2\times2\times2\times7\times7[/tex]
Prime factorization of 448: [tex]2\times 2 \times 2\times2\times2\times2\times7[/tex]
We can see that 448 and 1568 is [tex]2\times 2 \times 2\times2\times2\times7=224[/tex]
Therefore, each group will have 224 cars.
if a seed is planted it has a 75% chance of growing into a healthy plant. If 7 seeds are planted what is the probability that exactly 4 don't grow
Answers
7C4*. 75^4*. 25^(7-4)
35*. 75⁴*. 25³
35*. 316*. 016
11.06*. 016
. 1769
=. 177
explain how you would take a survey to find your classmates favorite shirt color
Answers
A wall map has a scale of 128 miles = 6 inches. The distance between Springfield and Lakeview is 2 feet on the map. What is the actual distance between Springfield and Lakeview? Question 4 options: 42.7 miles 1.13 miles 512 miles 384 miles
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2 feet = 24 inches
128 miles/6 inches is the scale.
I would create an equivalent ratio using this scale and the 24 inches.
128 miles/6 inches=x miles/24 inches
To go from 6 inches to 24 inches, you will need 4 groups of 6 inches.
You would also need 4 groups of 128 miles.
4 x 128 = 512 miles
The distance between these 2 towns is 512 miles.
The number of diagonals in any polygon is whole number. But on the other side the formula of the number of diagonals in any convex polygon is in a fraction form \frac{n(n-3)}{2[tex] . How can you explain this?
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[tex]N=n(n-1)/2[/tex]
This will always give a result of a whole number because
if n is odd, then n-1 is even, or
if n is even, n-1 must be odd.
So the division by 2 will always give a whole number because there is always an even number in the numerator.
By the way, this number is also solution to the "hand-shake" problem, which is "how many possible handshakes in a group of n people, if everyone shakes hand with everyone else exactly once?" Therefore, again, it is a whole number.
Older Orchards need more hives per acre Caleb has decided to place 6 hives for every 2 acres on an older peach orchard Zeke one of Caleb workers delivery 10 hives to a 30 acre peach orchard did Zeke follow Calebs decision.how does the table prove your answer.
Don't do a table
Answers
If there are 30 acres, this means he would 15 groups of 6 hives (90 hives). He only brought 10.
Please see picture for work.
How much Will be left after
45 hours if an isotope has a half life of 15 hours and you have 371 MGS
Answers
and surely you know how much that is.
After 45 hours, approximately 46.375 mg of the isotope will be left, given its half-life is 15 hours. This was determined by calculating the amount remaining after each of three half-lives. Each half-life reduces the amount by half.
To determine how much of the isotope is left after 45 hours, we need to use the concept of half-life. The half-life of the isotope is 15 hours. This means that every 15 hours, half of the isotope decays. We start with 371 mg.
First, calculate how many half-lives have passed:
45 hours / 15 hours per half-life = 3 half-livesAfter each half-life, the amount of isotope remaining is halved:
After the first half-life (15 hours): 371 mg / 2 = 185.5 mgAfter the second half-life (30 hours): 185.5 mg / 2 = 92.75 mgAfter the third half-life (45 hours): 92.75 mg / 2 = 46.375 mgTherefore, after 45 hours, approximately 46.375 mg of the isotope will be left.
A high fountain of water is in the center of a circular pool of water. you walk the circumference of the pool and measure it to be 190 meters. you then stand at the edge of the pool and use a protractor to gauge the angle of elevation of the top of the fountain. it is 55°. how high is the fountain?
Answers
2 * pi * R = 190
From here, we clear the radio:
R = (190) / (2 * pi)
R = 30.23943919 m
Then, you can see the problem as a rectangle triangle, where the height of the source will be given by the following trigonometric relationship:
tan (55) = H / R
From here, we clear the height H:
H = R * tan (55)
H = (30.23943919) * tan (55)
H = 43,1863948 m
Amswer:
the fountain is 43.19 m high
The height of the fountain is 43.20m
Data;
circumference = 190mangle = 55 degrees.Circumference of a CircleThe circumference of a circle is given as
[tex]c = 2\pi r[/tex]
Let's calculate the radius of the circle
[tex]c=2\pi r\\r=c/2\pi \\r=190/(2*3.14)\\r=30.25m[/tex]
Assuming the radius of the pool makes a right angle triangle with the top of the fountain;
[tex]tan\theta=\frac{opposite}{adjacent}\\tan55=\frac{x}{30.25}\\ x= 30.25tan55\\x=43.20m[/tex]
From the calculations above, the height of the fountain is 43.20m
Learn more on right-angle triangles here;
https://brainly.com/question/22790996
Suppose that in 2005, 894,700 citizens died of a certain disease. Assuming the population of the country us 302 million, what was the mortality rate in units of deaths per 100,000 people?
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Identify the quadratic term in the function, f(x)=2x^2-3x+5
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The three terms are
2x^2
-3x
5
as they are separated by a plus sign. You can think of it as 2x^2 + (-3x) + 5 if you want. The quadratic term is the term with the exponent of 2
At a tennis event, 10% of a player's score is based on serves, 40% on return balls, and 50% on wins. Kyle makes 85% of his serves, returns 70% of the balls, and wins 75% of his games. What is Kyle's score at the tennis event? Enter your answer in the box.
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One root of f(x)=x^3-9x^2+26x-24 is x = 2. What are all the roots of the function?
Answers
Answer:
Solutions are[tex]x_{1}=4\\x_{2}=2\\ x_{3}=3[/tex]
Step-by-step explanation:
The given expression is
[tex]f(x)=x^{3}-9x^{2} +26x-24[/tex]
First, we need the divisors of the independent term, which is 24.
24 divisors: 1, 2, 3, 4, 6, 8, 12, 24.
Now, we replace each divisor in the function, and those which gives zero as result, those are gonna be the roots of the equation.
For [tex]x=1[/tex]
[tex]f(1)=(1)^{3}-9(1)^{2} +26(1)-24=1-9+26-24=-6[/tex]
This means [tex]x=1[/tex] is not a solution.
For [tex]x=2[/tex]
[tex]f(2)=(2)^{3}-9(2)^{2} +26(2)-24=8-36+52-24=0[/tex]
So, [tex]x=2[/tex] is the first solution.
For [tex]x=3[/tex]
[tex]f(3)=(3)^{3}-9(3)^{2} +26(3)-24=27-81+78-24=0[/tex]
It's solution.
For [tex]x=4[/tex]
[tex]f(4)=(4)^{3}-9(4)^{2} +26(4)-24=64-144+104-24=0[/tex]
Therefore, all roots are
[tex]x_{1}=4\\x_{2}=2\\ x_{3}=3[/tex]
A runner ran 2/3 of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.
a. How long did it take to run the entire race?
b. How many minutes did it take to run 1 kilometer?
Answers
Answer:
it take 31.53 minutes to run the entire race
it take 6.3 minutes to run the 1 km
Step-by-step explanation:
A runner ran 2/3 of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.
[tex]\frac{2}{3} \cdot 5= \frac{10}{3}[/tex]
3.33 km is covered in 21 minutes
So 5 km is covered in [tex]\frac{5 \cdot 21}{3.33}=31.53[/tex]minutes
it take 31.53 minutes to run the entire race
[tex] \frac{10}{3}[/tex] km is covered in 21 minutes
1 km is covered in [tex]\frac{21}{\frac{10}{3} } =6.3[/tex]
It takes to run the entire race is 31 minutes and 30 seconds and it takes to run 1 kilometer is 6 minutes and 18 seconds.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
[tex]\rm speed = \dfrac{distance}{time}[/tex]
A runner ran 2/3 of a 5 kilometers race in 21 minutes. They ran the entire race at a constant speed.
2/3 of 5 km is given as x
[tex]x = \dfrac{2}{3}* 5 = \dfrac{10}{3}[/tex]
Then the speed will be
[tex]\rm speed = \dfrac{\frac{10}{3}}{21} = \dfrac{10}{3*21} = \dfrac{10}{63}[/tex]
a. It takes to run the entire race will be
[tex]\rm Time = \dfrac{5}{ \frac{10}{63}} = \dfrac{63* 5 }{10} =31.5[/tex]
It takes to run the entire race is 31 minutes and 30 seconds.
B. It takes to run 1 kilometer will be
[tex]\rm Time = \dfrac{1}{ \frac{10}{63}} = \dfrac{63* 1}{10} = 6.3[/tex]
It takes to run 1 kilometer is 6 minutes and 18 seconds.
More about the speed link is given below.
https://brainly.com/question/7359669
Suppose your club is selling candles to raise money. It cost $100 to rent a booth from which to sell the candles. If the candles cost your club $1 and are sold for $5 each, how many candles must be sold to equal your expenses?
Answers
100 + x = 5x
4x = 100
x = 25
answer
25 candles must be sold to equal expenses
25 candles
What is profit and loss ?
Profit or Gain = Selling price – Cost Price
Loss = Cost Price – Selling Price
According to the given question,
Candles sold must cover the expenses = 100
Let x be the no. of candles that needs to be sold to cover the expenses
rent = 100
Cost price of 1 candle = CP = 1
Cost price of x candles = CP = 1x
Selling price of 1 candle = SP = 5
Selling price of x candles = SP = 5x
Therefore, from the above statements we can infer that the profit generated must be equal to the expenses,
So, SP - CP = Profit = 100
5x - x = 100
4x = 100
x = 25
Therefore, we need 25 candles that needs to be sold to cover the expenses
Read more about SI units at:
https://brainly.com/question/13934673
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Trigonometric Identities and Applications? help
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[tex]\bf cos^{-1}\left( \frac{8}{-15}\right)=\stackrel{radians}{\stackrel{II~quadrant}{\approx 2.13}~~,~~\stackrel{III~quadrant}{\approx 4.15}}\qquad \qquad t= \begin{cases} \frac{5}{2\pi }\cdot 2.13\\\\ \frac{5}{2\pi }\cdot 4.15 \end{cases}[/tex]
What is 7% of $20.00?
Answers
You can use a calculator for this question.
Greg builds a new pond which has a volume of 7.35 m3.
It is 4.2 m long and 50 cm deep.
What is the width of the pond? m
There will be a circular patio with a diameter of 7 metres.
Greg is going to put a tiled edge around the patio.
What is the circumference of the patio? m
Circumference of a circle = 2πr
Use π = 3.14
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2) C = 7pi = 21.98 m
Mariah collects 3 spiders each spider has eight legs.Brian gives her 1more spider. how many legs do Mariah's spiders have altogether?
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Your friend scores a 22.5 on a normally distributed new logic test with a mean of 20 and a standard deviation of 2.5, and you're confident that 13.59% of people are more logical than your friend but not as logical as you. if you're really as smart as you think you are, what would you score on the test?
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The boy the apartment building is filling a pool 30 ft long 20 feet wide and 5 feet deep it has been filled 4 ft deep how many more cubic feet of water are needed to finish filling the pool
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Amount of water already filled = 30 x 20 x 4 = 2400 ft²
Amount of water needed to full the pool = 3000 - 2400 = 600 ft²
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Answer: 600 ft² of water is needed to fill up the pool.
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What is the sum of the measures of < 1 and < 2?
180°
118°
236°
59°
Answers
Answer:
118
Step-by-step explanation:
On Monday, the office staff at your school paid $8.77 for 4 cups of coffee and 7 bagels. On Wednesday, they paid $15.80 for 8 cups of coffee and 14 bagels. Can you determine the cost of a bagel? Explain.
Answers
The pricing is inconsistent. The double order should be double the price, $17.54. There are no prices for bagels or coffee that will match both purchases.