Answer:
24 bags, 20 bags and 24 bags
Step-by-step explanation:
Students made a bag of nut mix by using = [tex]\frac{1}{8}[/tex] pound
They bought nut mix = 3 pounds
they will be able to make number of nut mix bags = [tex]\frac{3}{\frac{1}{8} }[/tex]
= [tex]\frac{3\times 8}{1}[/tex]
= 24 bags
Students made a bag of cherries by using = [tex]\frac{1}{4}[/tex] pound
They bought cherries = 5 pounds
they will be able to make number of cherries bags = [tex]\frac{5}{\frac{1}{4} }[/tex]
= [tex]\frac{5\times 4}{1}[/tex]
= 20 bags
Students make a bag of dried fruit by using = [tex]\frac{1}{6}[/tex] pound
They bought dried fruit = 4 pounds
they will be able to make number of dried fruit bags = [tex]\frac{4}{\frac{1}{6} }[/tex]
= [tex]\frac{4\times 6}{1}[/tex]
= 24 bags
Students would be able to make 24 bags of nut mix, 20 bags of cherries and 24 bags of dried fruit.
The students would be able to make 24 sacks of nut mix, 20 sacks of cherries and 24 sacks of dried fruit.
EquationAn equation is an expression that shows the relationship between two or more variables and numbers.
For 3 pounds of nut mix:
Number of snack bag = 3 pounds / (1/8 pound) = 24 sacks
For 5 pounds of cherries:
Number of snack bag = 5 pounds / (1/4 pound) = 20 sacks
For 4 pounds of dried fruit:
Number of snack bag = 4 pounds / (1/6 pound) = 24 sacks
The students would be able to make 24 sacks of nut mix, 20 sacks of cherries and 24 sacks of dried fruit.
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Solve the rational equation:
3x/x+1 + 2x/x-2 = 4x^-4/x^-x-2
Answer:
no solutionStep-by-step explanation:
[tex]\dfrac{3x}{x+1}+\dfrac{2x}{x-2}=\dfrac{4x^2-4}{x^2-x-2}\\\\Domain:\\\\x+1\neq0\ \wedge\ x-2\neq0\ \wedge\ x^2-x-2\neq0\\\\(1)\ x+1\neq0\qquad\text{subtract 1 from both sides}\\x\neq-1\\\\(2)\ x-2\neq0\qquad\text{add 2 to both sides}\\x\neq2\\\\(3)\ x^2-x-2\neq0\\x^2+x-2x-2\neq0\\x(x+1)-2(x+1)\neq0\\(x+1)(x-2)\neq0\to\ x+1\neq0\ \wedge\ x-2\neq0\\\\\bold{DOMAIN:}\ x\in\mathbb{R}-\{-1,\ 2\}[/tex]
[tex]\dfrac{3x}{x+1}+\dfrac{2x}{x-2}=\dfrac{4x^2-4}{x^2-x-2}\\\\\dfrac{(3x)(x-2)}{(x+1)(x-2)}+\dfrac{(2x)(x+1)}{(x+1)(x-2)}=\dfrac{4x^2-4}{(x+1)(x-2)}\\\\\dfrac{(3x)(x-2)+(2x)(x+1)}{(x+1)(x-2)}=\dfrac{4x^2-4}{(x+1)(x-2)}\\\\\text{therefore}\\\\(3x)(x-2)+(2x)(x+1)=4x^2-4\qquad\text{use the distributive property}\\\\(3x)(x)+(3x)(-2)+(2x)(x)+(2x)(1)=4x^2-4\\\\3x^2-6x+2x^2+2x=4x^2-4\qquad\text{combine like terms}\\\\(3x^2+2x^2)+(-6x+2x)=4x^2-4[/tex]
[tex]5x^2-4x=4x^2-4\qquad\text{subtract}\ 4x^2\ \text{from both sides}\\\\x^2-4x=-4\qquad\text{add 4 to both sides}\\\\x^2-4x+4=0\\\\x^2-2x-2x+4=0\\\\x(x-2)-2(x-2)=0\\\\(x-2)(x-2)=0\\\\(x-2)^2=0\iff x-2=0\qquad\text{add 2 to both sides}\\\\x=2\notin\bold{D}[/tex]
What’s the answer to this problem?
Answer:
[tex]6 = f(4) \\ \\ 0 = f(-2)[/tex]
Step-by-step explanation:
Think of f(x). Those numbers in parentheses next to the f are x-coordinates, all you have to do is look in the chart and see what y-coordinate they gave you with respect to the given x-coordinates.
I am joyous to assist you anytime.
Multiply.
(x - 7)(x - 10)
A) 2x + 70
B) x2 + 70
C) x2 - 70
D) x2 - 17x + 70
4 less than 20 times some number
Answer:
20x - 4
Step-by-step explanation:
4 less than 20 times some number
Let's break it up.
4 less than = -4
20 times some number = 20x (x is representing "some number")
So, let's put that together.
4 less than 20 times some number
20x - 4
The cost (c) to hire a dog trainer is varies directly with the amount of time (h) in hours spent training the dog.
Part A
Write an equation to represent the proportional relationship between c and h using the information given. c =
Part B Sue spent $660 on 12 hours of obedience training for her dog Muffin. Jon wants to use the same dog trainer for his dog Tex, but he only has $440 to spend. How many hours of training can he get for Tex? Explain your reasoning.
Answer:
Part A) The proportional equation is [tex]c=55h[/tex]
Part B) 8 hours of training
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
Let
c -----> the cost to hire a dog
h ----> the amount of time in hours
The linear equation is equal to
[tex]c=kh[/tex]
Sue spent $660 on 12 hours of obedience training for her dog Muffin
Find the value of k (constant of proportionality)
[tex]k=y/x[/tex]
substitute the values
[tex]k=660/12=55[/tex]
therefore
The linear equation is
[tex]c=55h[/tex]
For [tex]c=\$440[/tex]
Find the value of h
substitute in the equation and solve for h
[tex]440=55h[/tex]
[tex]h=440/55=8\ hours[/tex]
Sasha uses stickers on each page
of her scrapbook. If she bought a
package with 628 stickers, about
how many pages will she be able to
make? Use compatible numbers to
find your answer.
Answer:
628
Step-by-step explanation:
She wants to use the sticker for each page of her scrapbook if her scrapbook has more than 628 then she wont have any stickers left because she only has 628 stickers.
Write an equation in slope intercept form for each line that passes through (-7, -4), perpendicular to y=1/2x +9
Answer:
y = -2x - 18
Step-by-step explanation:
-4 = -2[-7] + b
14
-18 = b
y = -2x - 18
↑
rate of change [slope]
* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES]:
½ → -2
I am joyous to assist you anytime.
The winner of a weight-lifting competition bench-pressed 400 pounds. All other competitors bench-pressed at least 23 pounds less. Write an inequality that represents the weights x (in pounds) that the other competitors bench-pressed.
Answer:
[tex]x\le 400-23\\ \\x\le 377\ pounds[/tex]
Step-by-step explanation:
The winner of a weight-lifting competition bench-pressed weight 400 pounds.
All other competitors bench-pressed at least 23 pounds less. So, the maximum weight that all other competitors bench-pressed is
[tex]400-23=977\ pounds[/tex]
If x pounds is the weight that the other competitors bench-pressed, then
[tex]x\le 400-23\\ \\x\le 377\ pounds[/tex]
that sounds as the other competitors bench-pressed at most 377 pounds weight.
The sum of four consecutive integers is 342. What is the third term in the sequence
Answer:
x + x + 1 + x + 2 + x + 3 = 4x + 6 = 342
4x = 336
x = 84
The third term is 84 + 2 = 86.
To find the third term in the sequence, we need to determine the first term and the common difference. By setting up and solving equations, we find that the first term is 84 and the common difference is 1. Therefore, the third term in the sequence is 86.
Explanation:To find the third term in the sequence, we need to determine the first term and the common difference.
Let's assume the first term is 'x' and the common difference is 'd'.
The four consecutive integers can be represented as x, x + d, x + 2d, and x + 3d.
Since the sum of these four integers is 342, we have the equation:
x + (x + d) + (x + 2d) + (x + 3d) = 342
Simplifying this equation, we get:
4x + 6d = 342
Now, we have two variables and one equation, so we need another equation to solve for x and d.
We can use the fact that the integers are consecutive, so the common difference is always 1.
Plugging in the value of d = 1 in the previous equation, we get:
4x + 6(1) = 342
Simplifying further, we get:
4x + 6 = 342
4x = 336
x = 84
Therefore, the third term in the sequence is x + 2d = 84 + 2(1) = 86.
iris charges $50 for her consulting services plus $60 for each hour she works. on one job, iris charged $470. for how many hours did iris work on this job
Answer:
the answer is 7 hope I could
Answer: 7 hours.
Step-by-step explanation:
Take the original amount (470) and subtract the $50 consulting fee. then divide the remaining amount by 60, as that is what she charges per hour. See the work done here:
470 - 50 = 420
420/60 = 7
square root of
negative 144
12i is the correct answer
have a fantastic day
Answer:
It is undefined or not a real number.
Step-by-step explanation:
There is no negative square root.
square root is a number multiplied by itself twice.
If you multiply a positive number by itself twice, you will get a positive number.
If you multiply a negative number by itself twice, you will get a positive number.
Therefore this is undefined or not a real number.
Rate as brainliest plz
Xan will cover some of this box in wrapping paper. He plans to leave one of the largest faces uncovered.
12 cm
10 cm
11 cm
How much wrapping paper will Xan need?
592 square cm
614 square cm
724 square cm
808 square cm
Final answer:
To find the wrapping paper needed for a box with given dimensions and one largest face uncovered, calculate the total surface area, subtract the area of the largest face, resulting in 592 square cm of wrapping paper required.
Explanation:
The question concerns calculating the amount of wrapping paper required to cover a box while leaving one of the largest faces uncovered. Given the dimensions of the box are 12 cm, 10 cm, and 11 cm, we can calculate the surface area of each face and sum them up, excluding one of the largest face, which is one with dimensions 12 cm x 11 cm.
First, calculate the surface area of all the faces: 2(12cm x 10cm) + 2(12cm x 11cm) + 2(10cm x 11cm) = 240cm² + 264cm² + 220cm² = 724cm².Next, subtract the area of the largest face (which will not be covered): 12cm x 11cm = 132cm².Finally, subtract this area from the total surface area calculated: 724cm² - 132cm² = 592cm².Therefore, Xan will need 592 square cm of wrapping paper to cover the box while leaving one of the largest faces uncovered.
Three consecutive integers have a sum of 30. Which equation can be used to find x, the value of the smal
numbers?
o (X+ 1) + (x+2) = 30
X+(x+1)+(x+2) = 30
x(x+ 1)(x+2) = 30
3x(x+ 1)(x+2) = 30
Answer:
It's the second choice.
Step-by-step explanation:
x + (x + 1) + (x + 2) = 30.
Solving for x will give you the smallest digit.
The equation x+(x+1)+(x+2) = 30 is used to find x.
The integers are 9, 10 & 11.
What is the required equation ?
If a, b, c are integers, then the sum of three integers is a+b+c
Let, x be a integer.
Then other two consecutive integers are, x+1 & x+2
Sum of this three integers is x+(x+1)+(x+2)
According to the question,
Sum of this three integers is 30
So, the equation becomes, x+(x+1)+(x+2) = 30
Now, solving, x+x+1+x+2 = 30
⇒ 3x+3 = 30
⇒ 3x = 27
⇒ x = 27/3 = 9
So, (x+1) = 9+1 = 10 & (x+2) = 9+2 = 11
Therefore, the three consecutive integers are 9, 10 & 11
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(PLEASE HELP ME) !!! (picture is shown!) Plane W and Plane J intersect at which of the following?
Answer:
it looks like it intersects at line t.
Step-by-step explanation:
I mean, just look at the picture. where does plane W and plane J touch? its not line p because that line is intersecting plane W and plane B, its not line a because that's intersecting planes V and J, and then its not B because they obviously do intersect.
I hope this helps you out and have a wonderful day!
Practice solving multistep equations.
ASSIGNMENT
Solve 3[-x + (2x + 1)] = x - 1.
DONE
Answer:
2(x+2)
Step-by-step explanation:
3[-x+(2x+1)]=x-1
3[-x+2x+1]=x-1
3[x+1]=x-1
3x+3=x-1
3x-x+3+1
2x+4
2(x+2)
what is the value of 4P -2 when P= 8
4p-2
Replace the P with the 8
4(8)-2
4*8=32
32-2=30
your answer would be 30 cause 4 times 8 is 32 then 32 - 2 = 30
PLSSSS HELPPPP.
A mason will lay rows of bricks to build a wall. The mason will spread 3/8
inch of mortar on top of all but the last row of bricks. The finished wall will be 1/8
inches less than 4 feet high. Answer parts a and b below.
The mason wants to lay the bricks so that the shortest edge of each brick is vertical. How many rows of bricks are needed? Show your work.
Let b equal the number of rows of bricks. The total height of the bricks in inches is equal to _______ times _______
The total height of the mortar is equal to ______ times ______
Their sum is equal to the height of the wall or ______ inches.
If I write this as an equation and solve for b, then the result is ______ of bricks
Answer:
a) 18 rows of bricks are needed
b) 2.25 times b
0.375 times (b - 1)
46.875 inches
18 rows
Step-by-step explanation:
* Lets explain how to solve the problem
a)
- The height of each brick is the shortest edge
- The shortest age is 2 1/4 inch ⇒ (2.25 inches)
- If b is the number of the rows of bricks
∴ The height of the bricks = 2.35 × b
- The height of the mortar is 3/8 inches ⇒ (0.375 inch)
- All rows of bricks covered by mortar on top except the last row
- The height of mortar = 0.375 × (b - 1)
- The height of the wall is 1 1/8 (1.125) inches less than 4 feet
∵ 1 foot = 12 inches
∵ 4 feet = 12 × 4 = 48 inches
∴ The height of the wall = 48 - 1.125 = 46.875 inches
- The sum of the total height of bricks and the total height of mortar
is equal to the height of the wall
∴ 2.25 b + 0.375(b - 1) = 46.875
- By simplify it
∴ 2.25 b + 0.375 b - 0.375 = 46.875
∴ 2.625 b - 0.375 = 46.875
- Add 0.375 for both sides
∴ 2.625 b = 47.25
- Divide both sides by 2.625
∴ b = 18
∴ 18 rows of bricks are needed
b)
* Lets complete the missing
- The total height of the bricks in inches is equal to 2.25 times b
- The total height of the mortar is equal to 0.375 times (b - 1)
- Their sum is equal to the height of the wall or 46.875 inches
- If I write this as an equation and solve for b, then the result is
18 rows of bricks
To find the number of rows of bricks needed for a wall, we can set up an equation to solve for that number. The equation will involve the heights of the bricks and mortar layers, as well as the height of the wall. Solving the equation will give us the number of rows of bricks needed.
Explanation:To find the number of rows of bricks needed, we need to determine the total height of the bricks and the total height of the mortar. Let b be the number of rows of bricks. The total height of the bricks in inches is equal to the height of each brick multiplied by the number of rows (b). The total height of the mortar is equal to the height of the mortar layer multiplied by the number of rows minus 1 (b-1). The sum of the heights of the bricks and mortar is equal to the height of the wall, which is 4 feet minus 1/8 inches.
Writing this information as an equation, we have:
(height of the bricks x b) + (height of the mortar x (b-1)) = 4 feet - 1/8 inches
Solving this equation for b will give us the number of rows of bricks needed.
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Is riding an elevator down 3 floors positive or negative
Answer:
negative
Step-by-step explanation:
that would be a negative corrolation
According to the American Association of Retired Persons, AARP, without healthcare
reform, the number of people in the United States without healthcare insurance would
have reached 60 million in 2020. This represents a 18.5% increase from 2010. How many
people were uninsured in 2010? Round to the nearest million.
Answer:
49 million if I'm not mistaken.
Step-by-step explanation:
What fraction is equal to75% of 1/2
Answer:
3/8
Step-by-step explanation:
We can write 75% as a fraction, 75/100 and simplifying the fraction gives 3/4.
Then you have to multiply 1/2 * 3/4 which gives the result of 3/8.
Answer: 3/8
Step-by-step explanation:
First, I'm going to be using the 1/2 as .5
.5 x .75 = .375
.375 in fraction form is 375/1000
Simplified is 3/8.
Find the dr/d(theta) for:
r = (theta)sin(theta) + cos(theta)
[tex]r=\theta\sin\theta+\cos\theta[/tex]
[tex]\dfrac{\mathrm dr}{\mathrm d\theta}=\dfrac{\mathrm d(\theta\sin\theta)}{\mathrm d\theta}+\dfrac{\mathrm d(\cos\theta)}{\mathrm d\theta}[/tex]
By the product rule,
[tex]\dfrac{\mathrm d(\theta\sin\theta)}{\mathrm d\theta}=\dfrac{\mathrm d(\theta)}{\mathrm d\theta}\sin\theta+\theta\dfrac{\mathrm d(\sin\theta)}{\mathrm d\theta}=\sin\theta+\theta\cos\theta[/tex]
and
[tex]\dfrac{\mathrm d(\cos\theta)}{\mathrm d\theta}=-\sin\theta[/tex]
So we have
[tex]\dfrac{\mathrm dr}{\mathrm d\theta}=\sin\theta+\theta\cos\theta-\sin\theta[/tex]
[tex]\implies\dfrac{\mathrm dr}{\mathrm d\theta}=\theta\cos\theta[/tex]
Which sequence of transformations performed on triangle J could result in similar triangle J'?
A. Rotate triangle J 180 about the origin, then reflect across y-axis.
B. Translate triangle J to the right and then down.
C. Reflect triangle J across the y-axis, then across the x-axis.
D. Reflect triangle J across the x-axis, then across the y-axis.
(its not A.)
Answer:
C. Reflect triangle J across the y-axis, then across the x-axis.
Answer:
I think the answer is B but i might be wrong
Find the midpoint of the segment with the given endpoints.
(6. - 4) and (4.6)
Answer:
Step-by-step explanation:
The measure of an angle is 114º. Calculate the measure of its supplementary angle.
Answer:
66°
Step-by-step explanation:
Supplementary angles sum to 180°, thus
supplementary angle = 180° - 114° = 66°
Simplify this equation
Answer:
-10 * 3/2= -30/2 = -15 is the solution
Answer:
-15
Step-by-step explanation:
-10/ 2/3
-10/1 / 2/3
-10/1 x 3/2
-30/2
=-15
(6x^3 - 4) + (-2x^3 + 9)
Answer:
4x^3 + 5
Step-by-step explanation:
(6x^3 - 4) + (-2x^3 + 9)
You can get rid of the parentheses
6x^3 - 4 + -2x^3 + 9
Combine like terms
6x^3 + -2x^3 = 4x^3
-4 + 9 = 5
4x^3 + 5
What is -5x + 15 = 35 - 10x
Answer:
x = 4
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-5*x+15-(35-10*x)=0
Pull out like factors :
5x - 20 = 5 • (x - 4)
_________________________________________
Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero.
_________________________________________
Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
Hey!
-------------------------------------------------
Solution:
-5x + 15 = 35 - 10x
~Subtract 15 to both sides
-5x + 15 - 15 = 35 - 10x - 15
~Simplify
-5x = 20 - 10x
~Add 10x to both sides
-5x + 10x = 20 - 10x + 10x
~Simplify
5x = 20
~Divide 5 to both sides
5x/5 = 20/5
~Simplify
x = 4
-------------------------------------------------
Answer:
x = 4
-------------------------------------------------
Hope This Helped! Good Luck!
find the slope of a line given two or more points (2,4)(5,3)
Answer:
-1/3 (can u plz give me the brainliest answer???)
Step-by-step explanation:
change in y over the change in x. (or rise over run).
-1/3
Have a nice day!!!!!!!!!!!
KA
Answer:
-1/3
Step-by-step explanation:
You would use rise over run:
4-3/2-5
That equals -1/3.
a bowl of candies contains the following makeup of colors: 4 red, 2 yellow, 5 green, and 1 purple. taina is selecting a candy at random from this bowl. she does not like the color red. what is the probability that taina does NOT select a red candy
Candies
4 red
2 yellow
5 green
1 purple
- Taina doesn't like red candies.
4/4+2+5+1 = 4/12
4/12 is the probability Taina will get a red candy, but we're looking for the opposite.
12/12 - 4/12 = 8/12 = 2/3
The probability Taina will not select a red candy is 2/3.
How are the graphs of the functions f(x) = StartRoot 16 EndRoot Superscript x and g(x) = RootIndex 3 StartRoot 64 EndRoot Superscript xrelated? The functions f(x) and g(x) are equivalent. The function g(x) increases at a faster rate. The function g(x) has a greater initial value. The function g(x) decreases at a faster rate.
The functions f(x) = √16^x and g(x) = ∛64^x increase at the same rate as x increases.
Explanation:The functions f(x) = √16ˣ and g(x) = ∛64ˣ are related in the way they grow or decrease as x increases. Let's analyze each function:
For the function f(x) = √16ˣ, as x increases, the value of f(x) also increases. This is because when x increases, 16^x becomes larger, and taking the square root of a larger number results in a larger value for f(x).
For the function g(x) = ∛64ˣ, the same logic applies. As x increases, the value of g(x) also increases. This is because when x increases, 64ˣ becomes larger, and taking the cube root of a larger number results in a larger value for g(x).
Therefore, both functions f(x) and g(x) increase at the same rate as x increases. None of the given options accurately describe the relationship between the graphs of f(x) and g(x).
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Answer:
A.
Step-by-step explanation: