Answer:
- 190
Step-by-step explanation:
-10x (4x - 12 - 3)
-40x - 120x - 30x
- 190
Answer:
-20x³ + 30x^4 + 15x²
Step-by-step explanation:
−5x²(4x − 6x² − 3)
-20x³ + 30x^4 + 15x²
pi = c/d solve for d?
Answer:
[tex]d=\displaystyle\frac{C}{\pi}[/tex]
Step-by-step explanation:
Hi there!
[tex]\pi =\displaystyle\frac{C}{d}[/tex]
Multiply each side by d:
[tex]d\pi =\displaystyle\frac{C}{d}*d\\\\d\pi=C[/tex]
Divide both sides by π:
[tex]d=\displaystyle\frac{C}{\pi}[/tex]
I hope this helps!
Duane is making a casserole for dinner. He has been cooking the casserole for 48 minutes. The casserole
needs to cook for 47 more minutes.
How many minutes does the casserole cook in total?
Answer:
95 minutes
Step-by-step explanation:
Add together how long it has been cooking plus how long it needs to cook
48+47 = 95
95 minutes
Answer:
155
Step-by-step explanation:
Add 60 and 48 to get 108 then add 108 and 47 to get 155
PLEASE HELP!! I'LL GIVE OUT BRAINLIEST.
Convert. Simplify your answer and write it as a proper fraction or as a whole or mixed number.
? yards = 3/4 of a mile.
Answer:
1320 yds
Step-by-step explanation:
1 mile = 1760 yds
3/4 mile * 1760 yds/ 1 mile
1320 yds
Answer:
1 mile = 1720 yard
______ ________
0.75 x
cross multiply and solve for x
1320 yards is the answer
good luck in the future..
PLEASE HELP, WILL GIVE BRAINLIEST IF CORRECT!!!! (08.06 MC) Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $25 to buy a total of 20 packets of wafers of the two varieties. Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the carnival. Define the variables used in the equations. (5 points) Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
Answer:
x = 5 , y = 15
Step-by-step explanation:
You can solve this using substitution.
Let the quantity of cheese wafers be denoted by x and the quantity of chocolate wafers denoted by y
2x + 1y = 25
x + y = 20
These two equations are the answer to part A, (remember to include the above prompt which says what x and y denote).
For part B I used substitution because it was more applicable to the question then addition or elimination.
ACTUAL WORK
Set 2x + 1y = 25 equal to x
x = 25 - y / 2
Replace x with y in the second equation
(25 - y / 2) + y = 20
And solve for y
y = 15
Since we know what y is we can replace y in the second equation and find what x is
x + 15 = 20
Solve for x
x = 5
Answer:
5 Cheese Wafers and 15 Chocolate Wafers
Step-by-step explanation:
gayle started with 30 pairs of shoes and donated X pairs. Her sister Bonnie started with 22 pairs of shoes and donated half as many pairs as Gayle did. How many pairs of shoes did Gayle donate if they had the same number of shoes remaining
Answer:
16 pair of shoes
Step-by-step explanation:
If Gayle donated x pairs, it means he is left with 30 - x pair of shoes.
Bonnie donated half as many as Gayle as donated.
We know Gayle donated x pairs, so Bonnie must have donated x/2.
Bonnie is left with 22 - (x/2) pairs after donation.
The question says, after donation they have the same number of pair of shoes.
It means, 30 - x = 22-(x/2),
If you will manipulate this equation and make x the subject,
you will get x=16.
I hope it helps.
Gayle donated 16 shoes
Number of shoes Gayle has after the equation can be represented with this equation : 30 - x
Where x = number of shoes she donated
Number of shoes Bonnie donated = 0.5x
Number of shoes Bonnie has after the equation can be represented with this equation : 22 - 0.5x
If Bonnie and Gayle ended with the same amount of shoes after the donation, this can be represented as:
30 - x = 22 - 0.5x
Combine similar terms
30 - 22 = x - 0.5x
8 = 0.5x
Divide both sides of the equation by 0.5
x = 16
A similar question was solved here: https://brainly.com/question/21378262?referrer=searchResults
A rectangular swimming pool has length 15w - 1 feet and width 9w + 2 feet. Find the perimeter of the pool.
Answer:
48w +2
Step-by-step explanation:
Perimeter of a rectangle=2( length+width)
=2(15w-1+9w+2)
=2(24w+1)
=48w+2
Discuss how you will use number sense to help plan a trip to your state capital. In your response, include the numbers that would be needed for this trip. Explain how understanding place value,number properties and the computation can help u with your planning
To plan a trip to your state capital, you need the following numbers
The number of available routesThe distance The speed limitTimeAssume you're travelling by road, you need to highlight the number of routes between your state and the state capital.
The number of routes is a natural number (i.e. minimum of 1 e.g. 6, 8, 1). Because it is a natural number, the number of routes can never be 0.
Next is to determine the distance to the state capital through each route. In most cases, the distance between places are positive rational or irrational numbers (however, they can be approximated to natural numbers).
The speed limit on each route will also help in planning the trip. Speed limits are always represented as natural numbers. When you know the speed limit (and the distance), you can use that to predict how long (i.e. the time) the trip will take. The formula to use is:
[tex]Speed = \frac{Distance}{Time}[/tex]
Make time the subject
[tex]Time= \frac{Distance}{Speed }[/tex]
The value of time can be estimated/approximated as a natural number.
In addition to the previous number, you may also need the following numbers
The liters of fuel to useThe amount of fuel per literThe essence of place value in these number (especially the numbers with decimal points) is to get an estimated value.
Read more about number properties at:
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Which statement is true regarding the functions on the
graph?
O f(-3) = g(4)
Of(-4) = g(-3)
Of(-3) = g(-3)
Of(-4) = g(-4)
Answer: C
Step-by-step explanation:
intersection of f(x) and g(x) is x=-3
f(-3)=g(-3)
Answer C
Answer:
The answer is f(-3)=g(-3)
Step-by-step explanation: just took the test hope it helps❤️
George goes to the supermarket to buy some canned tomatoes to make salsa for a party. The cans are on sale for $0.95 each. He has $4.75. Let x represent the number of cans that he can buy. Which equation models this situation?
Answer:
see below
Step-by-step explanation:
Take the price of each can and multiply by the cost of the cans
.95x
This must be less than or equal to 4.75
.95x ≤ 4.75
They may choose to use an equals sign, since they asked for an equation
.95x = 4.75
Answer: 0.95x = 4.75
Step-by-step explanation:
Since we do not know how much George can buy, we will put x as 0.95x
If you solve 0.95x=4.75 by dividing 0.95 on both sides you will get the number of cans he can buy which is 5.
What are the domain and range of the function? f(x)=−4x√x
Answer:
Domain x ≥ 0 Range y ≤ 0
Step-by-step explanation:
Answer:
[tex]Domain = \{x\,|\,x\geq 0\}[/tex]
[tex]Range=\{\,y\,|\,y\leq 0\}[/tex]
Step-by-step explanation:
Notice that the Range of the function (x-values for which the function exists) is limited by the possible values of x inside the square root. For [tex]\sqrt{x}[/tex] to exist, x must be larger than or equal to zero ([tex]x\geq 0[/tex])
So this gives us the description for building the Domain (what is called "set builder notation":
[tex]Domain = \{x\,|\,x\geq 0\}[/tex]
Now for the Range, let's look into all the possible values that these [tex]x\geq 0[/tex] values of x can render:
[tex]x\geq 0\\\sqrt{x} \geq 0\\x\,\sqrt{x} \geq 0[/tex]
but now, if we multiply both sides of the inequality by "-4", the direction of the inequality changes rendering;
[tex]-4\,x\,\sqrt{x} \leq 0[/tex]
Since these are the possible values of the "y-coordinate", then we right the Range in set builder notation as:
[tex]Range=\{\,y\,|\,y\leq 0\}[/tex]
Please answer this question now
Answer:
156.6 square yards
Step-by-step explanation:
To find the surface area of the pyramid, find the area of each surface and add them together.
formula for area of a triangle = 1/2(b·h)
1. There are three triangles with a base of 9 and a height of 9
1/2(9·9) = 40.5
Multiply by the three triangles
40.5 · 3 = 121.5
2. There is one triangle with a base of 9 and a height of 7.8
1/2(9·7.8) = 35.1
3. Add the areas of all surfaces
121.5 + 35.1 = 156.6
Write an expression in simplified form for the area of each rectangle. Width: 11 Length: 3x+2
Answer:
33x+22
Step-by-step explanation:
The area of a rectangle is
A = l*w where l is the length and w is the width
A = 11(3x+2)
Distribute
= 33x+22
Area of rectangle = Length * Width
Length is 3x+2Width is 11⇛Area = 11(3x+2)
⇛Area = 33x + 22
What is the correct solution to the equation 1 – (2x + 4) = –4x + 5?
[tex]\\ \sf\longmapsto 1-(2x+4)=-4x+5[/tex]
[tex]\\ \sf\longmapsto 1-2x-4=-4x+5[/tex]
[tex]\\ \sf\longmapsto -2x-3=-4x+5[/tex]
[tex]\\ \sf\longmapsto -2x+4x=5+3[/tex]
[tex]\\ \sf\longmapsto 2x=8[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{8}{2}[/tex]
[tex]\\ \sf\longmapsto x=4[/tex]
Step-by-step explanation:
[tex]\Large \boldsymbol {} \sf 1-(2x+4)=-4x+5 \\\\1-2x-4=-4x+5 \\\\4x-2x=5+3 \\\\2x=8 \\\\\boxed{\sf x=4}[/tex]
Calculate the product below and give your answer in scientific notation. \large{\left(5.2\times 10^{-2} \right) \times \left(8.0\times 10^{-4} \right) =\ ?}(5.2×10 −2 )×(8.0×10 −4 )= ?Left parenthesis, 5, point, 2, times, 10, start superscript, minus, 2, end superscript, right parenthesis, times, left parenthesis, 8, point, 0, times, 10, start superscript, minus, 4, end superscript, right parenthesis, equals, space, question mark
The product of the numbers in scientific notation is 4.16 × 10⁻⁵
Given data:
To calculate the product, we multiply the coefficients and add the exponents of 10:
(5.2 × 10⁻²) × (8.0 × 10⁻⁴) = 5.2 × 8.0 × 10⁻² × 10⁻⁴
Multiplying the coefficients:
5.2 × 8.0 = 41.6
Adding the exponents of 10:
10⁻²× 10⁻⁴ = 10^(-2 - 4) = 10⁻⁶
Putting it all together:
(5.2 × 10⁻²) × (8.0 × 10⁻⁴) = 41.6 × 10⁻⁶
Hence, the final answer in scientific notation is: 4.16 × 10⁻⁵
To learn more about scientific notation, refer:
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solve for w.
-9/7=-2/3w-1/2
Answer: [tex]w=\frac{33}{28}[/tex]
Step-by-step explanation:
To solve for w, we want to isolate w.
[tex]-\frac{9}{7}=-\frac{2}{3}w-\frac{1}{2}[/tex] [add both sides by 1/2]
[tex]-\frac{11}{14}=-\frac{2}{3}w[/tex] [multiply both sides by -3/2]
[tex]w=\frac{33}{28}[/tex]
Now we know that [tex]w=\frac{33}{28}[/tex].
Answer:
[tex]\sf w=\dfrac{33}{28} \\[/tex]
Step-by-step explanation:
[tex]\sf -\dfrac{9}{7} =-\dfrac{2w}{3} -\dfrac{1}{2}[/tex]
First, take -2w/3 to the left side.
[tex]\sf -\dfrac{9}{7}+\dfrac{2w}{3} = -\dfrac{1}{2}[/tex]
Then, add 9/7 to both sides.
[tex]\sf \dfrac{2w}{3} = -\dfrac{1}{2}+\dfrac{9}{7}[/tex]
Make the denominators the same and add the fractions.
[tex]\sf \dfrac{2w}{3} = -\dfrac{1*7}{2*7}+\dfrac{9*2}{7*2}\\\\\sf \dfrac{2w}{3} = -\dfrac{7}{14}+\dfrac{18}{14}\\\\\sf \dfrac{2w}{3} = \dfrac{-7+18}{14}\\\\\sf \dfrac{2w}{3} = \dfrac{11}{14}[/tex]
Use cross multiplication.
[tex]\sf 2w*14=11*3\\\\28w=33[/tex]
Divide both sides by 28.
[tex]\sf w=\dfrac{33}{28} \\[/tex]
Translate into an equation: Five times the sum of a number and six is 48
Hey there! I'm happy to help!
When building equations, the word "is" means "equals".
First, we have the sum of a number and six. You can use any letter to represent the number. I will use n.
(n+6)
We see that this is multiplied by 5. We can just put the 5 next to the parentheses. This shows multiplication.
5(n+6)
Is 48
5(n+6)=48
Have a wonderful day! :D
what is the equation of the translated function, g(x), if f(x)=x^2
Answer
The vertex moved 5 units right and 2 unit up.
Hence..
g(x)=(x-5)²+2
Answer:
g(x) = (x - 5)² + 2
Step-by-step explanation:
f(x) = x²
g(x) = (x - 5)² + 2
please help
Find f(1/3) if f(n) = 3n.
Answer:
1
Step-by-step explanation:
f(n) = 3n
f(1/3)= 3*(1/3)=1
f(1/3)=1
Answer:
3
Step-by-step explanation:
Plugin n = 1/3
f(n) = 3n
[tex]f(\frac{1}{3})=3*\frac{1}{3} = 3[/tex]
PLEASE HELP! 17 points! Use the right-hand rule for magnetic force to determine the charge on the moving particle. This is a _____ charge.
Answer: Positive Charge
Answer:
negative
Step-by-step explanation:
When using the Right-Hand Rules, it is important to remember that the rules assume charges move in a conventional current (the hypthetical flow of positive charges). In order to apply either Right-Hand Rule to a moving negative charge, the velocity (v) of that charge must be reversed--to represent the analogous conventional current.
The opposite charge is a negative charge.
3x is a ____ of 3x^2 - 6x^3.
Answer:
[tex]\boxed{factor}[/tex]
Step-by-step explanation:
Hey there!
3x * x = 3x^2
3x * 2x = 6x^3
So 3x is a factor of 3x^2 - 6x^3.
Hope this helps :)
need help with my hw make H the subject of the formula x = 5h + 8
Answer:
h = (x - 8)/5
Step-by-step explanation:
Step 1: Write out expression
x = 5h + 8
Step 2: Isolate variable h (Subtract 8 on both sides)
x - 8 = 5h
Step 3: Isolate h (Divide both sides by 5)
(x - 8)/5 = h
Step 4: Rewrite
h = (x - 8)/5
Please answer this question now
Answer:
x² + (y - 2)² = 144
Step-by-step explanation:
Standard equation of a circle is given by,
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle and 'r' is the radius.
If the center of the circle is (0, -2) and radius 'r' = 12 units
Equation of the circle will be,
(x - 0)² + (y + 2)² = (12)²
x² + (y - 2)² = 144
Therefore, equation of the circle will be,
x² + (y - 2)² = 144
What is the percentage of 360grams of 6kg
360 grms of 6kg
answer,
first convert 6kg into grms.
6kg = 6000grms.
now,
360 grms of 6kg= (360/6000)×100•/•
= 6 •/•
What is the reciprocal of 12 is
Answer:
1/12
Step-by-step explanation:
The reciprocal of any given x is 1/x. That makes the reciprocal of 12, 1/12.
Answer:
1/12
Step-by-step explanation:
12 is also written as 12/1, therefore to find the inverse of 12/1 the denominator now becomes the numerator and vice versa
Charles has 24 marbles. He has 6
more yellow marbles than blue marbles.
Which equation represents this situation?
Answer:
6+x=24
Step-by-step explanation:
he has 6 more marbles than the blue
the amount of blue marbles is unknown
so let blue marble be x
we know that the total number of marbles is 24
so 6+x=24
Micha is playing a game with five cards numbered 1 through 5. He will place the cards in a bag and draw one card at random three times, replacing the card each time. To win a prize, he must draw the number 5 all three times. What is the probability he will draw the number 5 all three times?
Answer: 0.008
Step-by-step explanation:
We have 3 experiments.
Each experiment is exactly the same: "Drawing the card with the number 5, out of a bag with five cards".
in a random selection all the cards have exactly the same probability of being drawn, so the probability of drawing the 5, is equal to the quotient between the number of cards with the 5 (only one) and the total number of cards in the bag (5) then the probability is:
p = 1/5.
And we want this event to happen 3 consecutive times, then the total probability is equal to the product of the probabilities for each event:
P = (1/5)*(1/5)*(1/5) = 1/125 = 0.008
Write two different polynomials with a difference of
- 3x² + 5x - 7
Answer:
(-5 +/- i√59)/-6
Step-by-step explanation:
(-5 +/- √25-84)/2(-3)
(-5 +/- i√59)/-6
Please help will give brainliest, pls don’t just guess
Answer:
B = multiply both sides by 2y+1
Step-by-step explanation:
Answer:
B. multiply both sides by the equation 2y + 1
Solve the simultaneous equation
X+3y=13
X-y=5
Answer:
x = 7
y = 2
Step-by-step explanation:
In the above question, we are given 2 equations which are simultaneous. To solve this equation, we have to find the values of x and y
x + 3y = 13 ........ Equation 1
x - y = 5...........Equation 2
From Equation 2,
x = 5 + y
Substitute 5 + y for x in Equation 1
x + 3y = 13 ........ Equation 1
5 + y + 3y = 13
5 + 4y = 13
4y = 13 - 5
4y = 8
y = 8/4
y = 2
Since y = 2, substitute , 2 for y in Equation 2
x - y = 5...........Equation 2
x - 2 = 5
x = 5 + 2
x = 7
Therefore, x = 7 and y = 2
PLEASE HELP Ruri is a 30-year-old math teacher. She has been informed that she is the winner of a grand prize for the lottery. She can choose either a one-time payment of $20 million or $5000 per week for the rest of her life. Which choice would most likely result in the greatest amount of winnings for Ruri? Explain your reasoning.
Answer:
$5,000 per week
Step-by-step explanation:
Ruri is a 30 year old female.
there are about 4 weeks per month
there are about 52 weeks per year
52*5000 = 260,000
She would get 260,000 per year and lets see how much she would have at 40.
260,000*10
at 40 she would have 2,600,000
2,600,000*10
at 50 she would have 26,000,000
at 50 she already has earned more money that the $20 million.
She should go with the $5000 per week if she would like more money.