Answer:
See explanation
Step-by-step explanation:
Given a long algebraic equation, the like terms can be collected. When you collect like terms, you reduce the length of the algebraic equation.
After that, you can factorize the equation where possible. When you factorize the equation. It becomes quite easier to solve it efficiently.
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
5
8
.
There are 56 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answer:
35 red marbles
Step-by-step explanation:
since probability for red marbles is 5/8
and they are 56 marbles in the bag
so it will be 5/8 × 56
= 35
so the bag is likely to have 35 red marbles
john’s dog eats 4/5 tin of mince meat added in his meal every day . if dog eats 35 full tins of meat in one week(7 days) then how much does it eat every day.
Answer:
it eats five mince meat everyday
It takes 12 minutes to fill an entire bathtub using both cold and hot water. If just the cold water is used, it takes 18 minutes to fill the bathtub. How long would it take to fill the bathtub if just the hot water were used?
Answer:
it takes 36 minutes to fill the bathtub using just hot water.
What is the value of c in the equation 3/4 x + 2= 5/4 x -6
Answer:
c isn't in the equation so I'm assuming you're solving for x
x=16
Step-by-step explanation:
3/4x+2=5/4x-6 start by subtracting 3/4x on both sides
2=2/4x-6 now add 6 to both sides
8=2/4x at this point you can simplify 2/4 to 1/2 just to make it easier to divide
8=1/2x divide 1/2 or 0.5 by 8
x=16
please tell me the answer
Answer: D
Step-by-step explanation:
I solved it:)
Seventy-five percent of the 104 adults in the McGlaughlin clan were 5 feet tall or taller. How many of the adults were less than 5 feet tall? *
Solve for n, 4 x n = 7 x 16
Answer:
n=28 7 times 16=112divided by 4 =28
Step-by-step explanation:
) Which property is used in the following expression ? (axb) x C = ax (b x) A. Distributive Property B. Associative Property of Multiplication C. Associative Property of Addition D. Commutative Property of Addition
Answer: Associative Property of Multiplication
What is the equation of this line in standard form?
A. 6x−7y=11
B. 6x−5y=−13
C. 7x−6y=11
D. 6x−7y=−11
Answer:
The correct equation is D.) 6x - 7y = -11
Step-by-step explanation:
Drag the values into the boxes to classify each number as rational or irrational. picture below pls help quick.
Answer:
Step-by-step explanation:
Rational numbers;
Numbers which can be written in the form of [tex]\frac{p}{q}[/tex] or repeating decimal numbers are the rational numbers.
Examples : 1, 2, [tex]\frac{2}{3}[/tex]
Irrational numbers:
Numbers which can't be written in he form of a fraction or non repeating decimal numbers are the Irrational number.
Example: [tex]\sqrt{8},\pi,\sqrt{\frac{8}{21} }[/tex]
From the given numbers,
Rational numbers: [tex]\frac{11}{3}[/tex], 6.25, 0.01045, [tex]\sqrt{\frac{16}{81} }[/tex], 0.424242....
Irrational numbers: [tex]\sqrt{48}, \sqrt{\frac{3}{16} }[/tex]
Write the equation of the line that has a slope of 2/3 and a y-intercept of 4 in slope-intercept form.
Answer:
y=2/3x + 4
Step-by-step explanation:
y=mx + b is the slope intercept form with b representing the y interept and m being the slope.
In this diagram where is the line of reflection?
The line of reflection is the vertical line x = 1.
What is a reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.
The line of reflection is the vertical line passing through the midpoint of segment AA'.
Since A'(2,5) and A(-4,5) have the same y-coordinate, their midpoint is on the line y = 5.
Therefore, the line of reflection is the vertical line x = 1.
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I need help plsssssssss
Answer:
A
Step-by-step explanation:
If you follow the dotted lines and bring all the lines together,
angle8 = angle4 (corresponding angles)
angle8 = angle5 (vertically opposite angles)
angle5 = angle1 (corresponding angles)
Therefore, angle8 is basically the same as angles 1 and 4
Thus,
127+127=254
Probability question 25 points
9514 1404 393
Answer:
0.09
Step-by-step explanation:
The probability of the complement of A is the difference between 1 and P(A):
[tex]P(A^c)=1-P(A)=1-0.91\\\\\boxed{P(A^c)=0.09}[/tex]
Answer:
0.09
Step-by-step explanation:
The answer will be ,
= 1 - 0.91
= 0.09
Let f be the function with derivative given by f'(x)=cos(2x^2 -1). How many relative extrema does f have on the interval 2 < x < 4?
Pythagorean theorem: Manuel purchases a rectangular picture
frame that has a diagonal measure of
17 inches and a height of 8 Inches. What is
the width of the picture frame?
Answer:
width = 15
Step-by-step explanation:
a² + b² = c² This the the formula
(PLUG IN)
8² + b² = 17²
64 + b² = 289 (subtract 64 on both sides)
b² = 225 (square root)
b = 15
Hope this helps ya!!
PLZ HELP AND HURRY!!!
Answer this question
Answer:A
Step-by-step explanation:
math
Answer:
A
Step-by-step explanation:
6 cartoons will contain 4 more broken eggs than 4 cartoons and this is because if each cartoon is 12 eggs and each contain 2 broken ones then 6 cartoons would have 4 more which will equal 12 broken eggs in total.
What is (-∞ , -1) ∪ [ 2 , +∞)
9514 1404 393
Answer:
interval notation for all numbers except those that are at least -1 and less than 2.
Step-by-step explanation:
The ∪ between the two sets of brackets indicates the "union" of two sets. The brackets on the left indicate the interval ...
-∞ < x < -1 . . . . . for a value represented by x
The curved brackets ( ) indicate the end values of the interval are not included, which is why the < symbol is used, and not the ≤ symbol.
The brackets on the right indicate the interval ...
2 ≤ x < +∞ . . . . . for a value represented by x
The square bracket [ ] is used to indicate the end value is included, which is why the ≤ symbol is used in relation to the end-value 2.
By convention, the interval notation lists the left end of the interval first, and always uses curved brackets for infinity.
Bacteria of species A and species B are kept in a single environment, where they are fed two nutrients. Each day the environment is supplied with 10,560 units of the first nutrient and 31,510 units of the second nutrient. Each bacterium of species A requires 2 units of the first nutrient and 5 units of the second, and each bacterium of species B requires 1 unit of the first nutrient and 6 units of the second. What populations of each species can coexist in the environment so that all the nutrients are consumed each day? Incorrect: Your answer is incorrect. Of species A
Answer:
We require 4,550 of species A and 1,460 of species B that can coexist in the environment so that all the nutrients are consumed each day
Step-by-step explanation:
Let n₁ be the population of A required and n₂ be the population of B required.
Now we require 2 units of the first nutrient for species A and one unit of the first nutrient for species B. The total nutrients required by species A is 2n₁ and that by species B is 1n₂ = n₂. So, the total nutrients required by both species A and B is 2n₁ + n₂. Since this equals the quantity of the first nutrient which is 10,560, then 2n₁ + n₂ = 10,560 (1)
Now we require 5 units of the second nutrient for species A and 6 units of the second nutrient for species B. The total nutrients required by species A is 5n₁ and that by species B is 6n₂. So, the total nutrients required by both species A and B is 5n₁ + 6n₂. Since this equals the quantity of the first nutrient which is 31,510, then 5n₁ + 6n₂ = 31,510 (2).
So, we have two simultaneous equations which we would solve to find the populations of A and B which satisfy both equations.
2n₁ + n₂ = 10,560 (1)
5n₁ + 6n₂ = 31,510 (2)
From (1) n₂ = 10,560 - 2n₁ (3)
Substituting equation (3) into (2), we have
5n₁ + 6(10,560 - 2n₁) = 31,510
expanding the brackets, we have
5n₁ + 63,360 - 12n₁ = 31,510
collecting like terms, we have
5n₁ - 12n₁ = 31,510 - 63,360
simplifying, we have
- 7n₁ = -31,850
dividing both sides by -7, we have
n₁ = -31,850/-7
n₁ = 4,550
Substituting n₁ = 4,550 into (3), we have
n₂ = 10,560 - 2(4,550)
n₂ = 10,560 - 9,100
n₂ = 1,460
So, we require 4,550 of species A and 1,460 of species B that can coexist in the environment so that all the nutrients are consumed each day
Number of Bacteria A and Bacteria B = 4550 and 1460 respectively,
Let the number of bacterias of Specie A and Specie B be = x and y respectively.
Given : 2 Nutrient Requirements of both species of Bacteria A and B , Total Nutrients available
To find : Number of Bacteria 1 and Bacteria 2
Nutrient 1 Constraint Equation : 2x + y = 10560
Nutrient 2 Constraint Equation : 5x + 6y = 31510
Putting the value of y from 1st equation in 2nd equation ;
5x + 6 (10560 - 2x) = 31510
5x + 63360 - 12x = 31510
63360 - 31510 = 7x
7x = 31850
x = 31850 / 7 = 4550 { Bacteria A}
Putting the value of x in 1st equation,
2 (4550) + y = 10560
9100 + y = 10560
y = 10560 - 9100 = 1460 {Bacteria B}
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This one is too much for me hhh, please answer it when you have time! THANK YOU!!
Match the following rational expressions that corresponds the letter of the correct answer.
Answer:
1.C
2.K
3.E
4.G
5.I
6.A
7.H
8.B
9.L
10.D
Step-by-step explanation:
What is the percent change from 9,000 to 900?
Answer:
-90%
Step-by-step explanation:
Change/ original x 100
9000-900= 8100
8100/9000= 0.9
0.9 x 100 = 90
What is the area of a triangle with a base of 4 inches and a height of 17 inches?
Answer:
Area of triangle = 34 in²
Step-by-step explanation:
Base = 4 inches
Height = 17 inches
[tex] \rm Area \: of \: triangle = \dfrac{1}{2} \times Base \times Height \\ \\ \rm = \dfrac{1}{2} \times 4 \times 17 \\ \\ \rm = 2 \times 17 \\ \\ \rm = 34 \: {in}^{2} [/tex]
Answer:
The required area of the ∆:
[tex] \boxed{ \rm{ar( \triangle) = 34 \: {inch.}^{2} }}[/tex]
Step-by-step explanation:
We have:
Base = 4 inchesHeight = 17 inchesBy using Formula, A = 1/2 * bh
⇒ ar(∆) = 1/2 × 4 × 17 inch²
⇒ ar(∆) = 2 × 17 inch²
⇒ ar(∆) = 34 inch²
Thus, The Area of Required ∆ is 34 inch²
A sporting goods store has a sale on soccer balls: if you buy two soccer balls at the regular price, you get a third soccer ball for $1. Coach John bought 24 identical soccer balls during this sale for $136. What is the regular price for one of these soccer balls?
Answer:
The regular price of the balls is $8
Step-by-step explanation:
The sporting goods store sales promotion is as follows;
The price of the third ball after buying two balls at regular price = $1.00
The price of the number of balls Coach John pays for the balls he bought = $136
To buy 24 balls, we have;
2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1
Therefore;
The number of balls bought at regular price = The sum of the 2s = 16 balls
The number of balls bought for $1 = 24 - 16 = 8 balls
Let x represent the regular price of the balls, we have;
16 × x + 8 = 136
16·x = 138 - 8 = 128
x = 128/16 = 8
The regular price of the balls = x = $8.
Find the y-intercept of the line on the graph. Please help!
Answer:
The y-intercept is 0 because it pass through the zero on the y - axis
Use Newton's Law of Cooling to find the temperature of a substance as a function of time t in minutes that it has spent
cooling off. This relationship is given by, y = ae* +, where c is the temperature of the medium surrounding the cooling
object, a is the difference between the initial temperature of the object and the surrounding temperature, and k is a
constant related to the cooling object. Two samples of the substance were heated in a container of boiling water until their
initial temperatures were both 100° C. The first sample will be cooled by being left out at a room temperature of 24°C,
and the second sample of the substance will instead be cooled off in a refrigerator with an inside temperature of 4° C.
The value of a will equal the difference between each sample's initial temperature and that sample's surrounding
temperature, and the cooling constant of the substance is k = 0.12.
Answer:c
Step-by-step explanation:a. 30.9, b. 32.9
The profit function P(x), revenue function, R(x), and cost function, C(x), are related by the equation P(x) = R(x) – C(x). Andrew has determined that the revenue and cost functions for a new product line at his business are given by these functions. R(x)=8x and C(x)=100+3x What is the profit function for Andrew's new product line?
Answer: 8x - 1200
Step-by-step explanation: Because I did the problem
The profit function for Andrew's new product line is P(x) = 5x - 100.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, The profit function P(x), revenue function, R(x), and cost function, C(x), are related by the equation P(x) = R(x) - C(x).
The revenue and cost functions for a new product line at his business are given by these functions. R(x) = 8x and C(x) = 100 + 3x.
Therefore, P(x) = 8x - (100 + 3x).
P(x) = 8x - 100 - 3x.
P(x) = 5x - 100.
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Help please urgenttt
Answer:
its a
Step-by-step explanation:
What is the unit for surface area?
PLEASE HELP ASAP!!! if you answer i will give you branliest :)
OK SO I SOLVED ALL OF THIS: It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals. --Function Rule: c(x) = 20b + 2300.
BUT I NEED HELP WITH THIS!!! Use your function rule to find out how many boxes of stuffed animals can the company manufacture for $5000? SHOW WORK.
basically just show the work to find out what "b" would have to be in order for the answer to be $5,000 i would appreciate it so much :) please help this is due today :(
Answer:
The company can manufacture 135 boxes of stuffed animals for $5000
Step-by-step explanation:
To find b, substitute $5000 for c(x), so
5000 = 20b + 2300Then subtract 2300 from both sides of the equation, so
5000 (-2300) = 20b + 2300 (-2300)2700 = 20bFinally divide both sides of the equation by 20, so
2700/20 = 20b/20135 = bTo check your answer substitute 135 in as b...
c(x) = 20(135) + 2300c(x) = 5000If you travel for 2 hours at an average speed of 60 miles per hour, how far did you
travel? pls show your work thx
Answer: 120 miles
Step-by-step explanation:
In one hour you travel 60 miles
In 2 hours you travel 120 miles
Hope this helps!