of the 30 girls who tried out for the lacrosse team at euclid Middle School, 12 were selected. Of the 40 boys who tried out but, 16 were selected. Are the ratios of the numbers of students on the team to the number of students trying out the same for both boys and girls? How do you know?
If i buy a box of candy for $30 and make $52 selling the candy what is my profit
Use the empirical rule to calculate estimates of tolerance intervals containing 68.26 percent, 95.44 percent, and 99.73 percent of all possible bank customer waiting times. (round your answers to 3 decimal places. negative amounts should be indicated by a minus sign.)
What is the quadratic function
Which equation correctly applies the distributive property?
A. 50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005)
B.−1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57
C. (0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)
D. −2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045
You started on a bike trip, riding at a rate of 9 miles per hour. Your friend left one hour later and rode at the rate of 12 miles per hour. How long did it take your friend to catch up with you?
They need 3 hours to catch.
What is Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary MethodFirst, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
riding at a rate of 9 miles per hour
the friend left at rate of 12 miles per hour
Difference between
=12-9
=3 mph
So, the time they need to take
=9/3
= 3 hours
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0.4 ( 8 - 0.2w ) = -4
The volume of a triangular prism is increased by a factor of 8.
By what factor is the surface area of the figure increased?
we know that
[tex]larger\ volume=original\ volume*(scale\ factor)^{3}[/tex]
and
[tex]larger\ surface\ area=original\ surface\ area*(scale\ factor)^{2}[/tex]
so
Find the scale factor
we know that
[tex](scale\ factor)^{3}=8 \\ scale\ factor=\sqrt[3]{8}=2[/tex]
Find the factor of the surface area increased
[tex](scale\ factor)^{2}=2^{2} =4[/tex]
therefore
the answer is
the surface area increased by a factor of [tex]4[/tex]
The need to cut the plastic by finding the measures of the angles (scale factor) is 4.
We have given,
Marcel is designing a circular necklace that will consist of 4 sections, each with a different color of plastic.
We know that
What is the formula of larger volume?larger volume=original volume×(scaler factor )^3
larger surface area =original surface area× (scaler factor)^2
To find the scale factor
we know that
(scalar factor)^3=8
Taking cube root on both sides
scale factor=2
Find the factor of the surface area increased
(scale factor)^2=2^2=4
Therefore, The surface area increased by a factor of 4.
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Simplify each expression. use positive exponents. 1. m^3n^–6p^0
Jenny charges for delivering the cakes.
Bob lives 12 miles away.
How much will Jenny charge to deliver the cakes? delivery charges £4 mixed cost + 60p per mile
To deliver the cakes to Bob, Jenny will charge £11.20.
Explanation:To calculate the delivery charges, we need to find the distance between Jenny's location and Bob's location. Since Bob lives 12 miles away, the delivery distance will be 12 miles. Jenny charges £4 as a mixed cost plus 60p per mile. So, the delivery charge will be £4 + (12 miles * 60p) = £4 + £7.20 = £11.20.
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In how many different ways can the curator of a museum arrange five of eight paintings horizontally on the wall?
The requried number of ways that 5 paintings to be chosen is 56 ways.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
Total number of paintings = 8
Total number of paintings to be arranged = 5
Number of ways = 8C5
= 8!/[8-5]!5! [nCr = n!/[n-r]!r!]
= 56 ways
Thus, the requried number of ways that 5 paintings to be chosen is 56 ways.
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if x equals 3= xequals 4 then use the equation 2x y -6 x equals 18 Z to find the value of y
Find the average.
11,16,15,22
A.64
B.15
C.17
D.16
Tyler used 17.04 gallons of gas.Maria used 6.2 times as many gallon of gas as Tyler. How many gallons of gas did Maria use?
Joe bought 20 ounces of nuts at the store. How much is this in pounds? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
If Joe bought 20 ounces of nuts at the store then the nuts in pounds is 1. 25 lb
What is Unit of Measurement?
A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
Joe bought 20 ounces of nuts at the store.
We have to find in pounds.
As we know that 1 ounce is equal to 0.0625 pounds.
Now we have to convert 20 ounces to pounds.
To do this we have to multiply 20 with 0.0625
20×0.0625
1.25 pounds
20 oz is equal to 1. 25 lb
Hence, the nuts in pounds is 1. 25 lb if Joe bought 20 ounces of nuts at the store.
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Solve the given initial-value problem. give the largest interval i over which the solution is defined. x dy dx + y = 6x + 1, y(1) = 8
In a recent survey, two-thirds of the 234 students in a freshman class said they watch television shows on their computer. Determine the correct arithmetic set up for determining how many students watch television on their computer
How do you solve step by step (-10)+14+25+(-16)
at a wedding dance couples have new partners nine times during a five minute song how long does one couple dance together
one couple dances toghether for _ of a minute
Final answer:
To determine how long one couple dances together, divide the total song duration by the number of times partners change plus one. With nine partner changes during a five-minute long song, each couple dances together for 0.5 minutes.
Explanation:
The question involves calculating the amount of time one couple dances together during a wedding dance if couples change partners nine times during a five-minute song. To find the answer, we need to divide the total time of the song by the number of times the partners change.
First, we find out how many times the couples will dance together. If they switch partners nine times, there will be ten different dancing intervals. Next, we divide the total length of the song by the number of intervals:
5 minutes ÷ 10 intervals = 0.5 minutes per interval.
Therefore, one couple dances together for 0.5 of a minute.
From a rectangular piece of cardboard having dimensions a × b, where a = 20 inches and b = 70 inches, an open box is to be made by cutting out an identical square of area x2 from each corner and turning up the sides (see the figure). Express the volume V of the box as a function of x.
The volume of the box as a function of x will be 1400x - 180x² - 4x³.
First and foremost, you should note that the volume of a rectangular prism is given as:
= Length × Width × Height
where,
Length = 70 - 2x
Width = 20 - 2x
Height = x
Volume = Length × Width × Height
Volume = (x)(20 - 2x)(70 - 2x)
Volume = 1400x - 40x² - 140x² + 4x³
Volume = 1400x - 180x² - 4x³
Therefore, the volume of the box as a function of x will be 1400x - 180x² - 4x³.
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A rational number can be written as the ratio of one blank to another and be represented by a repeating or blank decimal. What are the two vocabulary for this sentence?
The answer is a rational number is one integer divided by another, and can be represented in either decimal of fraction form. The explanation behind this is visualize you are using long division to divide one number by one more. You divide, and then you acquire a remainder. Then you carry down a zero (multiply by ten) and divide again. Well, there are only so many balances you could perhaps have. For example, for 5, your choices are 0, 1, 2, 3, and 4. Sooner or later, you will replicate a remainder, at which fact you will just keep dividing the same method you did last time you saw that remainder -- and that's the reason why it repeats.
F is the midpoint EG Find the length EG given that the length FG IS10.9
evaluate the expression
(4+49) - 4X10
Simplify . 4y4 4y8 8y4 8y8
Answer:
B
Step-by-step explanation:
Just did it.
Answer:
b
Step-by-step explanation:
Enfaite je ne comprend pas cet exercice qui peut m'aider c'est deja la rentré et je galère merci de bien vouloir m'aider
Which of the following fractions is closest to the decimal 0.35
Jody, a statistics major, grows tomatoes in her spare time. she keeps a record of the weight of each tomato she grows. what percentage of all her tomatoes will be within one standard deviation of the mean weight? choose the correct answer below.
a. 50
b. 99.7
c. 95
d. 68
e. 10
what number must you add to complete the square x^2+24x=17
What is the absolute difference between 1/2 and 1/3?
1/2 - 1/3 = 3/6-2/6 = 1/6
absolute value is 1/6
Multiply or find the special product. (Simplify your answer completely.)
[(x − 8y) + z][(x − 8y) − z]