Answer:
z = -4
Step-by-step explanation:
Given :
x = -2y = -5z divides xy in the ratio 2 : 1 (m : n)Solving :
Take the section formulaz = [my + nx] / [m + n]z = [2 x -5 + 1 x -2] / [2 + 1]z = -10 - 2 / 3z = -12 / 3z = -4
Multiply the binomials:
(3x+4)(5x-2)
Answer:
15x^2 + 14x - 8.
Step-by-step explanation:
(3x + 4)(5x - 2)
= 3x(5x - 2) + 4(5x - 2)
= 3x*5x + 3x*-2 + 4*5x + 4*-2
= 15x^2 - 6x + 20x - 8
= 15x^2 + 14x - 8.
In the given figure ABC is a triangle in which angle BAC is equal to 30 degree show that BC = the radius of the circumcircle of triangle ABC whose Centre is O.
Step-by-step explanation:
First, Join OB and OC.
∠BOC = 2∠BAC
(∵ angle subtended by an arc at the centre = double the angle subtended by it at any point on the remaining part of the circle)
=> ∠BOC = 2 x 30°...(∵ ∠BAC = 30°, Given)
=> ∠BOC = 60°
In, ΔOBC, OB = OC...(radii of same circle)
∴ ∠OCB = ∠OBC...(∠s opp. equal sides of a triangle are equal)
As the sum of angles of a traingle is 180°,
∠OBC + ∠OCB + ∠BOC = 180°
∠OBC + ∠OBC + 60° = 180°...(∵∠BOC = 60°,proved above)
2∠OBC = 120° => ∠OBC = 60°
Thus, we have ΔABC such that,
∠BOC = ∠OBC = ∠OCB = 60°
ΔOBC is an equilateral triangle
BC = OB i.e. BC is equal to the radius of circle.
Hence proved...Hope it helps you!!Michael has $1,059.35 in his checking account. He is going to spend $466.43 on a new television, and he will spend the rest on speakers that cost $43.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account?
A.
$466.43 < $43.00x + $1,059.35
B.
$1,059.35 < $43.00x + $1,059.35
C.
$466.43 + $43.00 + x < $1,059.35
D.
$43.00x + $466.43 < $1,059.35
Answer:
D. $43.00x + $466.43 < $1,059.35
Step-by-step explanation:
He has $1,059.35.
The amount of speakers he buys is x.
Each speaker is $43.00, and he is buying one television, which is $466.43.
All of the speakers he buys and(+) the television must be less than $1,059.35 because that's all he has. It cannot be more, which is why the equation is $43.00x + $466.43 < $1,059.35.
Hope this helps!
Answer:
D
Step-by-step explanation:
its $43 each and he wants to buy more than one so that means thats x
that marks out C
so 43.00x +466.43 is less than 1,059.35
I really feel like one of them should have less than/greater than or equal to sign but without I think its D
Which method would be the best to solve the following system of equations?
{5z + 3y = -7
{-2x - 3y = 19
Answer:
substitution or elimination
If fixed costs to print a certain Bible are $15,000 and
variable costs are $25 per Bible, what must be the selling
price to earn $10 per Bible if 5,000 Bibles are printed?
The selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.
What is target profit?The target profit is the profit that is expected by a manufacturer from the sale of its product.
The target profit can be established and used to determine the selling price.
When the target profit is added to the fixed cost per unit and the variable cost per unit, the resultant figure is the selling price.
Data and Calculations:Fixed costs per print = $15,000
Number of Bibles per print = 5,000
Fixed costs per Bible = $3 ($15,000/5,000)
Variable costs per Bible = $25
Expected profit per Bible = $10
The selling price = $38
Thus, the selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.
Learn more about determining the selling price at https://brainly.com/question/1153322
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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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 < 850 POINTS!
3. Find the values of the 30th and 90th percentiles of the data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152 *
1 point
30th percentile = 105 90th percentile = 200
30th percentile = 113 90th percentile = 200
30th percentile = 105 90th percentile = 176
Answer:
30th percentile = 105 90th percentile = 176
Step-by-step explanation:
Arrange the data set in order from smallest to largest:
100, 100, 105, 113, 129, 132, 146, 152, 176, 200
30th percentile
r = number of data values = 10
q = percentile = 30
q/100 = 30/100 = 0.3
q/100 × r = 0.3 × 10 = 3
Therefore, count the 3rd number in the ordered set.
⇒ 30th percentile = 105
90th percentile
r = number of data values = 10
q = percentile = 90
q/100 = 90/100 = 0.9
q/100 × r = 0.9 × 10 = 9
Therefore, count the 9th number in the ordered set.
⇒ 90th percentile = 176
30th percentile = 105, 90th percentile = 176
Explanation:
data {129, 113, 200, 100, 105, 132, 100, 176, 146, 152}
arrange in ascending order:
{100, 100, 105, 113, 129, 132, 146, 152, 176, 200}
30th percentile: 10590 th percentile: 176
Word 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.
If B is the midpoint of AC, and AC=8x-20,find BC
Answer:
BC = 0.5 * AC
Step-by-step explanation:
Since B is the midpoint
x= degrees 32° x x
Answer:
32 +x+x=180(Sum of angles of a triangle)
32+2x=180
2x=180-32
2x=148
x=148/2
Therefore,X=74
Answer:
the answer for x is 74°
Step-by-step explanation:
[tex]32 + x + x = 180 \\ 2x + 32 = 180 \\ 2x = 180 - 32 \\ 2x = 148 \\ x = 74 \: degrees[/tex]
Use the formula for,P, to solve the following question.
For a segment of a radio show, a disc jockey can play 7 records. If there are 10 records to select from, in how many ways can the program for this segment be arranged?
ways
Answer:
604800 different ways to order the program
Step-by-step explanation:
using the formula for permutation, not combination because the order of the records matter
n!/(n-r)!
n is the total number of choices (10)
r is the number that is chosen from the total number (7)
El maestro de matemáticas mostró una figura cuya área está representada por la siguiente expresión x² - 5x 6 = 0. ¿Cuánto miden los lados de la figura?
Answer:
x≈5
Step-by-step explanation:
x^2-5x6=0
x^2-30=0
x^2-30+30=30+0
x^2=30
x≈5
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!
Wyatt walks
3
miles each day for
6
days.
Aaliyah walks
4
1
2
miles each day for
6
days.
How many more miles will Aaliyah walk in
6
days than Wyatt?
An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84. the investor sells these shares when the net asset value is $43.19 and the offer price is $43.56. determine the amount of profit the investor earns. a. $9,576 b. $9,488 c. $9,428 d. $9,340 please select the best answer from the choices provided a b c d
The amount of profit the investor earns is 9340 dollars. Then the correct option is D.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84.
The investor sells these shares when the net asset value is $43.19 and the offer price is $43.56.
Then total cost price of the shares will be
→ 19.84 × 400 = $7936
The total selling price of the shares will be
→ 43.19 × 400 = $17,276
Then the profit is the difference between the total cost price of shares and the total selling price of the shares.
→ 17276 - 7936 = $ 9340
More about the Algebra link is given below.
https://brainly.com/question/953809
help 8 th grade math
Answer:
6 is A
Step-by-step explanation:
-5 x -4 = 20
-5 x 7x = -35x
helpppppp meeeee pleaseeeeeeeee thanksssssss :)))))))
Answer:
815.76 is your answer
Step-by-step explanation:
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.
Learn more about time conversion here:
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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
The Marked price of an article is rupees 5000 .This price is 25% above the cost price. If the article is sold by allowing 10% discount .Find the profit percent.
Note: Please show the process and explain as well.
Answer: 13%
Step-by-step explanation:
Step 1:
5000
10% of 5000=500
5% of 5000=250
25%=500+500+250= 1250 rupees
so...
5000-1250= 3750 INR, which is the original price, BEFORE THE 25% WAS ADDED
but..
They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find 15%, because 25%-10%=15%
so if...
10%=500
5%=250
15%=750 INR
this means the price with the 10% discount off 25%= 4250 INR (5000-750)
now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added
e.g 4250-3750= 500INR
Then.. divide this price with the original price before the 25% was added
e.g 500/3750= 2/15=0.13
So...
Convert 0.13 into a percentage=13%
The PERCENTAGE PROFIT of the owner is 13%
P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you
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:
i need help 9y grade math
Answer:
17x+7
Step-by-step explanation:
(10x+3)-(-7x-4)
Done!
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]
There were 27 children in a class.
There were twice as many boys as girls.
How many boys were there?
Answer:
18
Step-by-step explanation:
no. of boys=2x
no.of girls=x
total no. of pupils=2x+x
27=3x
27/3=x
x=no.of girls=9
no.of boys =2x=2*9=18
Answer: 18 Boys
Step-by-step explanation: make first 27 divided by 3 equals 9 and then 9 times 2 equal 18 . We multiply by 2 to make it twice
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
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.
help me please
find value of x and y
Answer:
Below in bold.
Step-by-step explanation:
The triangle ABC is a right triangle as BCD is a tangent.
So m < y = 90 - 30 = 60 degrees
The angle at the centre O = 2*30 = 60 degrees (angle subtended at centre theorem)
m < x = 180 - 90 - 60 = 30 degrees
Step-by-step explanation:
y = 60
x= 30
these are the answer s
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
Please answer everything that at asks in the image above. this is very important and I need help.
Answer:
Step-by-step explanation:
