Answer:
70%
Step-by-step explanation:
94/135 = x/100
x= (94/35)*100
x= 9400/3500
x= 1880/27
x=69.629
rounded to the nearest whole percent, x=70
To estimate the average amount of time it takes a professional football player to run a mile, a sample of 20 players yielded an average time of 6.32 minutes. What is the statistic
The average amount of time it takes a professional football player to run a mile is = 18.96 seconds
Calculation of the average time of a footballerThe total number of players that made up the sample data = 20
The average time for the whole players was = 6.32minutes.
If 20 players = 6.32 mins
∴ 1 player = ?
Make the unknown the subject of formula,
? = 1 × 6.32/20
? = 6.32/20
? = 0.316 mins
To converted to seconds multiply by 60,
Therefore, 0.316 × 60 = 18.96 seconds.
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Alyssa had two hundred 95 dollars to spend on 9 books.
After buying them she had 16 dollars. How much did
each book cost?
Answer:
$31
Step-by-step explanation:
295 minus 16 is 279
that's how much they were all together
and divide 279 by 9 and you get 31
what is the answer forAt a sale, suits were sold for $72 each. This price was 45% of a suit's original price. How much did a suit originally cost?
Answer:
160
Step-by-step explanation:
72=0.45x
72/0.45=x
x=160
at a town fair it cost 9$ to enter and 1.50$ on each ride. represent this function in at least three ways
Answer:
1 2 3 ways for it to function
Step-by-step explanation:
There are 126 students in theater at a school. On a certain day, 94 of the students in choir went on a field trip. What percent of student stayed at school instead of going on the field trip? Round to the nearest whole percent.
Answer:
Step-by-step explanation:
First find the number of students who stayed home.
# students who stayed home = Total number - the choir members.
Total number = 126
Choir members = 94
Stay at homes = 126 - 94 = 32
Formula
Stay at home % = (32 / 126) * 100
Stay at home %= 0.25397 * 100
Stay at home % = 25.397
To the nearest whole %, the answer is 25
Answer:
126/94 = 1.34
1% of the students stayed at school
Step-by-step explanation:
Problems Involving Fundamental Counting Principle
1. Patrick wants to buy a computer system. In a computer shop, a customer can choose one of the 4 monitors, one of the 2 keyboards, one of the 4 CPU, and one of 3 printers. Determine the number of possible systems that Patrick can choose from.
2. An ice cream parlor is offering different flavors of ice cream with two kinds of containers available, cone and paper cup. The flavors of their ice cream include cheese, vanilla, mango, and chocolate. What is the total number of possible combinations if a customer can choose a container and 3 flavors of ice cream?
3. Emma has 5 blouses, 3 skirts, and 4 pairs of shoes. In how many different ways consisting of a blouse, a skirt, and a pair of shoes can Emma dress up?
4. Tess, Rina, Rose, Ronnie, Bryan, and Gab are all members of the Student Council. In how many ways can you form a committee of three students?
Problems Involving Probability of Simple Events
5. A letter is to be chosen from the letters of the word EXTRAVAGANT. What is the probability that it is a consonant?
6. An auditor of a club is to be selected from 8 Grade 7, 9 Grade 8, 12 Grade 9, and 5 Grade 10 students. What is the probability that he/she is not a Grade 8 student?
7. A spinner is divided into parts and whose colors are similar to a color wheel. What is the probability that the pointer lands on a secondary color?
8. Slips of paper are numbered 4, 5, 6, …, 34, folded into similar squares and placed in a bowl. If a paper is to be picked at random, what is the probability that the number is a prime number?
The questions are illustrations of combination and probability
Combination involves the ways of choosing or selecting an item from a group of itemsProbability involves the chance of choosing or selecting an item from a group of items1. Number of systems to choose fromThe given parameters are:
Monitors = 4
Keyboard = 2
CPU = 4
Printer = 3
The number of systems to choose from is:
n = 4 * 2 * 4 * 3 = 96
Hence, Patrick can choose from 96 systems
2. Combination of Ice creamThe given parameters are:
Containers = 2
Flavors = 4
The number of total combination to choose from is:
n = 2 * 4C3 = 8
Hence, the number of total combination is 8
3. Emma dressing upThe given parameters are:
Blouse = 5
Skirt = 3
Shoes = 4 pairc
The number of ways to dress up:
n = 5 * 3 * 4 = 60
Hence, Emma can dress up in 60 ways
4. Members of committeeThe given parameters are:
Students = 6
Members of committee = 3
The number of ways to form a committee is:
n = 6C3 = 20
Hence, there are 20 ways to form the committee
5. Probability of consonantWe have:
Letters = 11
Consonnats = 7
The probability of selecting a consonant is:
P = 7/11
P = 0.636
Hence, the probability of selecting a consonant is: 0.636
6. Probability of not selecting a grade 8 studentWe have:
Total students = 34
Students not in grade 8 = 25
The probability that a student is not in grade 8 is:
P = 25/34
P = 0.735
Hence, the probability that a student is not in grade 8 is 0.735
7. Probability of a secondary colorNot enough details to solve
8. Probability of a prime numberThere are 9 prime numbers in a total number of 31 numbers from 4 to 34.
So, the probability that a number is prime is:
P = 9/31
P = 0.290
Hence, the probability that a number is prime is 0.290
Read more about combination and probability at:
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PLS HELPPP IT'S ABOUT LOCUS
Answer:
Here,
First Find distance between them by using formula √+x2-x1)2+(y2-y1)2
Then use the equation and then find locus.
The Ferris wheel shown makes 14 revolutions per ride. How far would someone travel during one ride? Round your final answer to the nearest whole number. Use 3.14 for π.
diameter 67 feet
Someone would travel about
feet during one ride on the Ferris wheel.
Answer:
2,945 feet
Step-by-step explanation:
Find the circumference.
C = dπ
C = 67(3.14)
C = 210.38
Since there are 14 revolutions, multiply the circumference by 14.
210.38 x 14 = 2945.32
Round
2,945
Jori bought $150 worth of a technology ETF that they sold for
$162.60 after one year. What was their return on investment?
what the answer to 24/3/7/5=
Answer:24/3/7/5 = 8/ 35 ≅ 0.2285714
Step-by-step explanation:
Divide: 24/3: 7 = 24/3· 1/7
= 24 · 1/3 · 7
= 24/21
= 3 · 8/3 · 7= 8/7
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 7/1 is 1/7) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 3 gives 8/
7
.
In other words - twenty-four thirds divided by seven = eight sevenths.
Divide: the result of step No. 1 : 5 = 8/7 : 5 = 8/7 · 1/5
= 8 · 1/7 · 5
= 8/35
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 5/1
is 1/5
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - eight-sevenths divided by five = eight thirty-fifths.
Find the distance between the points!? Help
Answer:
3\sqrt(5)
or 6.71
Step-by-step explanation:
original price $18 and percent of discount is 65% what is the sale price
Answer:
$6.3
Step-by-step explanation:
Original price = $18
Percentage Discount = 65%
Discount = 18*65% = 18*0.65 = $11.7
Sale Price = Original price - Discount
= $18 - $11.7
= $6.3
PLEASE HELP
Henry bought snacks for his team's practice. He bought a bag of chips for $2.25 and a 5-pack of juice bottles. The total cost before tax was $9.95. How much was each bottle of juice?
The bag of chips for $2.25 and a 5-pack of juice bottles each bottle of juice costs $1.54.
Let's break down the information given in the problem:
Henry bought a bag of chips for $2.25.
He also bought a 5-pack of juice bottles.
The total cost before tax was $9.95.
Let's represent the cost of each bottle of juice as "x" dollars.
The total cost of the chips and the juice bottles is given as $9.95. So, we can write the equation:
Cost of chips + Cost of 5 juice bottles = Total cost
$2.25 + 5x = $9.95
Now, we can solve for the value of "x" (the cost of each bottle of juice):
5x = $9.95 - $2.25
5x = $7.70
Dividing both sides by 5:
x = $7.70 / 5
x = $1.54
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LA=
Round your answer to the nearest hundredth.
Answer:
48.81
Step-by-step explanation:
Since we are given a right triangle, and we are trying to find a angle, we use the
SOH-CAH- TOA.
In relation to the angle, we know a side opposite of the angle and the side adjacent to the angle.
We use Tangent, which states that
[tex] \tan(x) = \frac{o}{a} [/tex]
Here the opposite side is 8
The adjacent side is 7.
[tex] \tan(x) = \frac{8}{7} [/tex]
Take the Inverse Tangent,
[tex] \tan {}^{ - 1} (( \tan(x) ) = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]
[tex]x = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]
Which gives us 48.81
Answer:
∠ A ≈ 48.81°
Step-by-step explanation:
using the tangent ratio in the right triangle
tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{7}[/tex] , then
∠ A = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{7}[/tex] ) ≈ 48.81° ( to the nearest hundredth )
Please help me on this it’s due now
Answer:
I don't understand the question
???????!:!:!:!:!:?!!!!!???!:!/!/
Answer:
Corral 4
Step-by-step explanation:
we need to divide the area of the corral by the Number of animals In order To know the dedicated space for each animal
Corral 1 :
(50×40)÷110 = 18.181818181818 < 20
Then it doesn’t meet the requirements.
Corral 2 :
(60×35)÷115 = 18.260869565217 < 20
Then it doesn’t meet the requirements
Corral 3 :
(55×45)÷125 = 19.8 < 20
Then it doesn’t meet the requirements
Corral 4 :
(65×40)÷130 = 20
Then It meets the requirements
Emilio's Publishing prints and sells cookbooks to stores for $4.50 each. Their weekly profits can be modeled by the quadratic function P(x) = −0.1x2 + 15x + 120, where P(x) is profit and x is the number of $0.05 price increases. Use the graph to answer the question.
Graph of function p of x equals negative 0.1 x squared plus 15 x plus 120. The graph has the x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 120), increases to (75, 682.5), and decreases through (157.614, 0).
Approximately what amount should the company sell each cookbook for to maximize profit? (1 point)
$8.25
$9.50
$10.20
$17.00
Using the vertex of the quadratic equation, it is found that the profit will be maximized when each cookbook is sold for $8.25.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the function is modeled as follows, considering x as the price divided by $0.05.
P(x) = -0.1x² + 15x + 120.
The coefficients are a = -0.1 < 0, b = 15, c = 120, hence the x-value of the vertex is given by:
[tex]x_v = -\frac{15}{2(-0.1)} = \frac{15}{0.2} = 75[/tex]
75 increases of $0.05, hence the price will be of:
4.5 + 75 x 0.05 = $8.25.
Hence, the profit will be maximized when each cookbook is sold for $8.25.
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
What is the volume in cubic inches
Answer:
80 cubic inches
Step-by-step explanation:
Hey there!
In order to find the volume, you need to split this shape in two parts
We are going to take the big rectangle and the small rectangle as our two shapes
The bigger rectangle has dimensions 5.5 x 6 x 2 which is 66 cubic inches
So now we need to get the volume of the smaller rectangle which has the dimensions: 2x2x3.5 which is 14 cubic inches
Now we add both volumes
66+14 is 80
So the total volume is 80 cubic inches
please help me and thank you :))))
Answer:
96
Step-by-step explanation:
Answer:
the answer of this question
is 96
Find the value:with steps please
-3/5 x 8/15 x 1/9 x -24/30
Answer:
Step-by-step explanation:
Which choice is the solution to the inequality below?
9x< 72
O A. x < 63
B. X8
C. x<8
O D. xs2
Will mark brainliest
In order to solve this inequality, we should divide both sides by 9:-
[tex]\sf{9x < 72}[/tex]
Why 9? Because x is multiplied by 9, and we need to isolate x in order to find its value.
[tex]\sf{x < 8}[/tex]
Hence, that's the solution to the inequality.
It also means that the numbers less than 8 will satisfy the given inequality (make the inequality true)
(Option C is correct :) )
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
x < 8
solving steps:
9x < 72x < 72/9x < 8Word problem. Help please!!
Answer:
I'm not 100% sure but I think it is 200.96 in (201 in if rounded)
Step-by-step explanation:
Answer:
200.96 inches squared
Step-by-step explanation:
The radius of the pizza is 8(half of the diameter).
The formula for are of a circle is pie*radius^2.
So you would do 3.14 * 8^2.
8^2 is equal to 64.
Your new equation is 3.14 * 64, which equals 200.96.
Plis somebody help me with this
Which table represents a relationship that is not a function?
Answer:
T is not a function.
Step-by-step explanation:
The definition of a function is a relationship where only one x value has a specific y value. So if an x-value has more than one y value, it is not a function due to its rule. This can also be checked by using a graph, graphing the function, and checking if it fits the vertical line test.
We see all of them work except T, where 2 x values are stated that are the same but have different y values.
So T is not a function.
I hope this helped!
It would be greatly appreciated if you marked this answer as brainliest!
What is the measure of the unknown angle?
A 72°
B 74°
C 76°
D 79°
Answer:
C. 76 degrees.
Step-by-step explanation:
n = 180 - 104
= 76.
Answer:
C
Step-by-step explanation:
a straight line is 180 degrees
so we can say that n is equal to 180 - 104
n is equal to 76 degrees
Find the length of the third side. If necessary, round to the nearest tenth.
9
13
Answer:
15.8
I think there is a part of the question missing (the triangle is a right triangle)
hope this helps
+let me know if you need an explanation
Solve the following linear inequalities given in the first column and choose the appropriate results
Answer:
[tex]g\geq 17[/tex]
[tex]g > -10[/tex]
[tex]g > -1[/tex]
Step-by-step explanation:
[tex]7(g-19)\geq -14[/tex]
Divide both sides by 7:
[tex]g-19\geq -2[/tex]
Add 19 to both sides:
[tex]g\geq 17[/tex]
[tex]3(7g+17) > -19+14g[/tex]
Expand brackets:
[tex]21g+51 > -19+14g[/tex]
Subtract 14g from both sides:
[tex]7g+51 > -19[/tex]
Subtract 51 from both sides:
[tex]7g > -70[/tex]
Divide both sides by 7:
[tex]g > -10[/tex]
[tex]6(-6g+6) > -2(19g-17)[/tex]
Expand brackets:
[tex]-36g+36 > -38g+34[/tex]
Add 38g to both sides:
[tex]2g+36 > 34[/tex]
Subtract 36 from both sides:
[tex]2g > -2[/tex]
Divide both sides by 2:
[tex]g > -1[/tex]
Find the values of the following expressions if a = 3,b=2,c=1,x=2 and y=0. Please answer quickly
NO LINKS Please!
Answer:
- 3
Step-by-step explanation:
a x a x a / 3 - 6 / c x c
3 x 3 x 3 / 3 - 6 / 1 x 1
9 - 6
-3 (ANS)
pls help me to answer this
Answer:
hi! this is (insert your name) what does this sybol/mathematical term mean?
√
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
Greetings Mrs.(name here)!
I got my recent test back and I was wondering why this question was incorrect.
For #4, I was sure that you had to find the square root and then multiply by pi, but apparently that's not what some people did and they got it correct.
How do I properly do this question?
-*name here*
PLEASE HELP 50 POINTS + BRAILYEST!!!
(no links please)
The triangle is the picture down below.
Bonnie has a really yummy sandwich that is shaped like a right triangle. There is a 3 in. line, a 5 in. line, and there’s another line that is unknown. How would solve this problem by using the Pythagorean theorem to find the missing length of one of the lines? Be sure to show all of your work.
Answer:
4 inStep-by-step explanation:
Let the missing length is x.
According to Pythagorean, we have the following equation
[tex]x^2+3^2=5^2[/tex][tex]x^2+9=25[/tex][tex]x^2=25-9[/tex][tex]x^2=16[/tex][tex]x=\sqrt{16}[/tex][tex]x=4[/tex]Answer:
Missing length = 4 in
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 3 inb = ?c = 5 inSubstitute given values into the formula and solve for ?:
⇒ 3² + ?² = 5²
⇒ 9 + ?² = 25
⇒ ?² = 25 - 9
⇒ ?² = 16
⇒ ? = √16
⇒ ? = 4 in
1. Total Value of the Burgers
2. Cost of Fries per order
3. Quantity of the sodas ordered
4. Total Value of the Salad
5. Cost of Salad per order
Formula:
1._______________________________
2._______________________________
3._______________________________
4._______________________________
5._______________________________
Answer:
1._______________________________
2._______________________________
3._______________________________
4._______________________________
5._______________________________
Step-by-step explanation:
1) 35×23 = 805
2) 800/40=20
3)170/10=17
4) 2000-805-800-170=225
5)225/15=15
Hence answers
1)805
2)20
3)17
4)225
5)15
