About 10% of Americans will go to a restaurant or an event for the New Year. About how many people would that be?
Answer:
About 33,199,213
Step-by-step explanation:
Population of America: about 331,992.130 million
331,992,130 x .10 = 33,199,213
Pascha is factoring the polynomial, which has four terms.
3x3 – 15x2 + 8x – 40
3x2(x – 5) + 8(x – 5)
Which is the completely factored form of her polynomial?
(3x2 – 5) (x + 8)
(3x2 – 8) (x + 5)
(3x2 + 8) (x – 5)
(3x2 + 5) (x – 8)
Answer:
[tex](3x^2 + 8)(x - 5)[/tex]
Step-by-step explanation:
Given
[tex]3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)[/tex]
Required
Complete the factorization
[tex]3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)[/tex]
When an equation is factorized as:
[tex]a(b + c) + d(b + c)[/tex]
The complete expression is:
[tex](a + d)(b + c)[/tex]
Apply this logic in [tex]3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)[/tex]
By comparison:
[tex]a = 3x^2; b = x; c = -5; d = 8[/tex]
So, we have:
[tex]3x^3 - 15x^2 + 8x - 40 = (3x^2 + 8)(x - 5)[/tex]
Hence,
[tex](3x^2 + 8)(x - 5)[/tex] is the complete factor
Answer:
c
Step-by-step explanation:
Anna is buying school supplies. She spends $3 for a pack of 4 fancy pencils and $2 for a pencil case. Then, she buys a notebook for $2. She has a $10 bill. How much change will she receive?
Answer:
3 not including tax, if it needs to include tax i dont know
What is the slope? (IXL)
Answer: a=mx+b
Step-by-step explanation:
Which expression has a value that is equal to the given expression when n = 8?
2n + 10
n² + 5
2(n+5)
10n + 2
3n
Answer:
2n+10 and 2(n+5)
Step-by-step explanation:
[tex]2n + 10 \\ 2(8) + 10 = 26 \\ and \\ 2(n + 5) \\ = 2(8 + 5) \\ = 2(13) = 26 \\ \: hence \\ 2n + 10 = 2(n + 5) = 26[/tex]
The answer is C) 2 (n+5)
A recipe for waffles calls for 2 cups of flour and 3 teaspoons of baking powder.
Jason uses 4 cups of flour.
How much baking powder should he use?
5 teaspoons
6 teaspoons
8 teaspoons
12 teaspoons
Answer:
The answer would be 6 teaspoons
Answer:
6 teaspoons my guy.
Took da test
Step-by-step explanation:
The school store sells pens for $0.20 each and pencils for $0.30 each. Anthony
spent $2.70 to buy a total of 5 pens and pencils. How many pencils did
Anthony buy? pencils
Help I need it now!
Answer:
5
Step-by-step explanation:
im not sure i need points im so srry
Which relation is a function?
Answer:
A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.
Step-by-step explanation:
what does 6 represent in the number 240.65?
Answer:
6 tenths
Step-by-step explanation:
Answer:
The tenths place
Step-by-step explanation:
I don't know how to explain that, but I hope this helps, and have a great day! :)
PLEASE HELP !!! i need to know the surface area
Answer:
244 ft²
Step-by-step explanation:
Rectangle Base Area: 6•4=24
Rectangle Side Area: 8•10=80; 80•2(sides) = 160
Triangle Sides Area: (10•6=60); 60/2(area of triangle) = 30; 30•2(sides)=60*
*Technically can skip the divide by two and then multiply by two, since they cancel out*
(Area of Triangle Formula= 1/2bh)
Add areas together: 24+160+60= 244 ft²
When something is refracted, it changes
direction
volume
size
Refraction is an effect that occurs when a light wave, incident at an angle away from the normal, passes a boundary from one medium into another in which there is a change in velocity of the light. Light is refracted when it crosses the interface from air into glass in which it moves more slowly.
What is the decimal equivalent of - 2/5
1) Slope 1/3
y-intercept = -5
Write the slope-intercept from the equation given the slope snd y-intercept.
A rectangle has a width of 46 centimeters and a perimeter of 202 centimeters. What is the rectangle's length?
Answer:
The awswer is 55
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
The rectangle has a width of 46, multiply that by 2, you get 92, subtract 92 by 202 and you get 106. Divide 106 by 2 and you get 53
Plz worth 70 points
What best describes the expression 6/y
1. 6 times some number
2. 6 divided by some number
3.minus some number
4.more than some number
Answer:
6 divided by some number y
Step-by-step explanation:
Let y be some unknown number
Given an expression 6/y
The slash sign (/) there means division. Hence the statement can be described as 6 divided by some number y
The least common multiple of two numbers is 24. Which could be the two numbers?
Answer: 6 and 8
Step-by-step explanation:
Answer:
6, 8
Step-by-step explanation: i hope this helps
Use the discriminant to describe the roots of each equation. Then select the best description.
2 = x2 + 5x
double root
real and rational root
real and irrational root
imaginary root
[tex]2 = {x}^{2} + 5x[/tex]
Arrange the expression into the standard form.[tex]0 = {x}^{2} + 5x - 2 \\ {x}^{2} + 5x - 2 = 0[/tex]
DiscriminantFrom the standard form equation and from the given equation.
[tex]a {x}^{2} + bx + c = 0 \\ a = 1 \: \: \: b = 5 \: \: \: c = - 2[/tex]
Discriminant Formula
[tex]D = {b}^{2} - 4ac[/tex]
Substitute the value of terms in the discriminant formula.
[tex]D = {(5)}^{2} - 4(1)( - 2) \\ D = 25 - 4( - 2) \\ D = 25 + 8 \\ D = 33[/tex]
Discriminant Types
[tex]D > 0 \: \: \: \: 2 \: \: real \: \: roots \\ D = 0 \: \: \: \: 1 \: \: real \: \: root \\ D < 0 \: \: \: imaginary \: \: roots[/tex]
We can rule out the Imaginary root and double root because the discriminant is greater than 0. Therefore, the only choices are either Irrational or Rational.
However, we cannot factor the expression by using two brackets or common factor. We can say that the equation has two real irrational roots.
Answerreal and irrational rootwhat is solution of this equation 2/3x =4?
Answer:
x=6
Step-by-step explanation:
[tex]\frac{2/3x}{2/3} =\frac{4}{2/3}[/tex]
x=6
help me please this do in 5 MIN
Answer:
B
Step-by-step explanation:
Because 7/12 is more then a half
Also its obvious that 1/8 is the least used
a piece of cheese weighting 2/3 pound is to be divided into 8 equal portions. what will be the weight of each portion?
Answer:
1/12 lb
Step-by-step explanation:
2/3 x 1/8 = 2/24 = 1/12
Step-by-step explanation: 2/3 / 8/1 is actually multiplying the first number by the reciprocal of the second. So 2/3 x 1/8. That equals 0.08333... or 1/12.
Hope this helps!
13x + 2y - 6x + 8
A little help
Answer:
7x + 2y + 8
......................................................................................................................................................................................................................................................................................................
Answer:
7x+2y+8 if you just do this equation regularly but in point intercept from it would be
2y=7x+8
then divided the others by 2y and you get
y=3.5x+8
Step-by-step explanation:
what is the slope-intercept equation of the line that goes through the points 1, 5 and 2, 8
Answer:
The slope-intercept equation of the line that goes through the points (1, 5) and (2, 8) is [tex]\mathbf{y=\frac{3}{2}x+\frac{7}{2} }[/tex]
Step-by-step explanation:
We need to find the slope-intercept equation of the line that goes through the points (1, 5) and (2, 8)
The general equation for slope intercept form is [tex]y=mx+b[/tex] where m is slope and b is y-intercept
Finding slope
Slope can be found using formula [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x _1=1, y_1=5, x_2=2, y_2=8[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{8-5}{2-1}\\Slope=\frac{3}{2}[/tex]
So, we get slope [tex]m=\frac{3}{2}[/tex]
Finding y-intercept
y-intercept can be found using slope [tex]m=\frac{3}{2}[/tex] and point (1,5)
[tex]y=mx+b\\5=\frac{3}{2}(1)+b\\b=5- \frac{3}{2}\\b=\frac{10-3}{2}\\b=\frac{7}{2}\\[/tex]
So, we get y-intercept [tex]b=\frac{7}{2}[/tex]
Equation of line
So, equation of line having slope [tex]m=\frac{3}{2}[/tex] and y-intercept [tex]b=\frac{7}{2}[/tex] is:
[tex]y=mx+b\\y=\frac{3}{2}x+\frac{7}{2}[/tex]
The slope-intercept equation of the line that goes through the points (1, 5) and (2, 8) is [tex]\mathbf{y=\frac{3}{2}x+\frac{7}{2} }[/tex]
Christian opened a savings account with $3250. His account will earn 5.2% simple interest.
How much money will be in his account after 6 years?
The total amount of money will be in his account after 6 years is $4264.
Given that, principal = $3250, rate of interest = 5.2% and time period = 6 years.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.
Substitute P=$3250, R=5.2% and T=6 years in simple interest formula
That is, S.I. = (3250 × 5.2 × 6)/100
= $1014
Amount = Principal + Simple interest
= 3250 + 1014
= $4264
Therefore, the total amount of money will be in his account after 6 years is $4264.
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(-7/10)=?/10 change to higher terms please help !!
Answer:
-7
Step-by-step explanation:
you cant change the numerator if you cant change the denominator
Marisol drove 3 hours from City A to City B. The equation below estimates the distance d, in
miles, Marisol traveled after driving for t hours.
d = 45t
Answer:
Step-by-step explanation:
D*RT
D=45*3
D=135
Marisol drove 135 MI.
The Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
According to the question
Marisol drove for from City A to City B = 3 hours
Equation below estimates the distance d, in miles for t hours.
d = 45t
now , substituting the value
d = 45 * 3
d = 135 miles
Hence, the Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .
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If the circumference of a circle is x, then what is the area of the circle in terms of x?
Answer:
x^2 / 4pi
Step-by-step explanation:
The area of a circle is (pi x r)^2
The circumference of a circle is 2pi x r
The find the radius, you need to divide x by 2pi, so x / 2pi
Then just plug it in as the radius:
(pi x (x / 2pi))^2 = x^2 / 4pi
Solve the following equations
7(3x + 5) - x = 75
Answer:
x = 2
Step-by-step explanation:
7(3x + 5) - x = 75
1. Distributive property
multiply 7 by whatever is in the parenthesis
7*3x + 7*5 - x = 75
21x + 35 - x = 75
2. Combine like terms
21x - x = 20x
20x + 35 = 75
3. Subtract 35 on both sides
20x + 35 - 35 = 75 - 35
20x = 40
4. Divide both sides by 20 since u want to isolate the variable
20x/20 = 40/20
x = 2
And thats ur answer
Hope this helped!
When three squares are joined at their vertices to form a right triangle, the combined area of two smaller squares is the same as the area of the largest square find the side of the third square
Answer:
b = 12 cm
Step-by-step explanation:
The Pythagora's Theorem
The area of a square of side length x is
[tex]A = x^2[/tex]
We have three squares, two of which have side lengths of a=5 cm and b= 13 cm.
The combined area of the smaller squares is the same as the area of the largest square. We cannot say at first sight which square is the largest, we'll assume the square of side length of 13 cm is the largest one. Thus:
[tex]5^2+b^2=13^2[/tex]
Where b is the unknown side length.
The above expression corresponds to the Pythagora's Theorem formula. Solving for b:
[tex]b^2={13^2-5^2=169-25=144[/tex]
[tex]b=\sqrt{144}[/tex]
b = 12 cm
Gereome has an hour and half before he has to leave to play basketball. If it takes him 7/12 an hour to do his homework and ⅗ of an hour to find his uniform, how much time will he have left?
Answer:
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Step-by-step explanation:
An 8 foot wire extends from the top of a 5 foot post to the ground, forming a right triangle. To the nearest tenth of a foot, what is the distance from the bottom of the post to the point where the wire meets the ground?
Answer:
The answer would be 6.2 if you round to the nearest tenth.
Step-by-step explanation:
