Answer:
12 ticketsStep-by-step explanation:
Earning = $9.32 per hourWork hours = 16 3/4 = 16.75Earning in week:
$9.32*16.75 = $156.11Remaining money after he deposits $150:
$156.11 - $150 = $6.11How many raffle tickets can be bought:
$6.11/$0.50 = 12 and $0.11 remainsAnswer:
12 tickets
Step-by-step explanation:
The cost to buy one movie ticket is $7. If the total cost for the movie is a function of how many people go, then the input is _____.
the $7
the number of people going
the total cost
the movie
Answer:
The number of people going
Step-by-step explanation:
That is what can vary.
Answer:
that guy/girl is correct
The length of a rectangle is the sum of the width and one. The area direct angle 72 units. What’s the length, in units, of the rectangle
Answer:
The length of the rectangle is of 9 units.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
Area of a rectangle:
A rectangle has width [tex]w[/tex] and length [tex]l[/tex]. The area is the multiplication of these measures, that is:
[tex]A = wl[/tex]
The length of a rectangle is the sum of the width and one.
This means that [tex]l = w+1[/tex], or [tex]w = l - 1[/tex]
The area direct angle 72 units. What’s the length, in units, of the rectangle
We want to find the length. So
[tex]wl = 72[/tex]
[tex](l-1)l = 72[/tex]
[tex]l^2 - l - 72 = 0[/tex]
Quadratic equation with [tex]a = 1, b = -1, c = -72[/tex]. So
[tex]\bigtriangleup = (-1)^{2} - 4(1)(-72) = 289[/tex]
[tex]l_{1} = \frac{-(-1) + \sqrt{289}}{2*(1)} = 9[/tex]
[tex]l_{2} = \frac{-(-1) - \sqrt{289}}{2*(1)} = -8[/tex]
Since the length is a positive measure, the length of the rectangle is of 9 units.
If a salesman had 3 dimes to make a $3.05 phone calls , how many quarters would he needs to add to the dimes to make the call using exact change
Answer:
he would need 11 quarters.
Step-by-step explanation:
you already have 3 dimes which is $0.30 and 11 quarters is $2.75.
4. Is the point on the line, yes or no, show all work for full marks.
a) Line: y = 5x -8
Point (1,-3)
b) Line: y = -3x+1
(T2 each)
Point(-2,-7)
someone help!!!
Answer:
a) yes
The point ( 1,-3) lie on the given line y = 5x-8
b) No
The point ( -2,-7) does not lie on the given line y = -3 x +1
Step-by-step explanation:
Step(i):-
a) Given line y = 5 x - 8 ...(i)
Point ( 1, -3 )
substitute ( 1,-3 ) in equation (i)
-3 = 5(1) - 8
-3 = 5 -8
-3 = -3
∴ The point ( 1,-3) lie on the given line y = 5x-8
b)
Given line y = -3 x +1 ...(i)
Point ( -2, -7 )
substitute (-2, -7 ) in equation (i)
-7 = -3(-2) +1
-7 ≠ 7
The point ( -2,-7) does not lie on the given line y = -3 x +1
Solve the following equation for y. Y= 2y+4y-3=27
Answer:
[tex] 2y + 4y - 3 = 27 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 6y = 27 + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 6y = 30 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = \frac{30}{6} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 5[/tex]
5. 40% of Sam's collection of 64 cars is new. How many cars are new?
Known:
Unknown:
Equation:
6. 90 out of 20 students liked pizza. What percent of students cid
not like pizza?
Known:
Unknown:
Equation:
Answer:
5. 40% of Sam's collection of 64 cars is new. How many cars are new?
Known: Number of cars.
Unknown: How many cars are new.
Equation: 64*0.4=x x=24.
6. 90 out of 20 students liked pizza. What percent of students did
not like pizza?
Known: number of students
Unknown: percent of students did not like pizza.
Equation: 90*20/20 = 90.
90>20 so 0% did not like pizza.
HELP PLEASE!
I don’t understand polynomial expressions!
Answer:
A: 2x^3 + 3x - 5
Step-by-step explanation:
All of the others have fractions in places where they aren't allowed to.
Answer:
A: 2x^3 + 3x - 5
Step-by-step explanation:
Solve for q. q/18=5 q=
Answer:
q =90
Step-by-step explanation:
q/18=5
Multiply each side by 18
q/18 * 18=5* 18
q =90
Answer:
q = 90
Step-by-step explanation:
Multiply each side by 18:
q = 90
plz help me with this math problem
Answer:
[tex]a = 9in[/tex]
Step-by-step explanation:
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
[tex]a = \sqrt{ {10.6}^{2} - {5.6}^{2} } [/tex]
[tex]a = \sqrt{112.36 - 31.36} [/tex]
[tex]a = \sqrt{81} [/tex]
[tex]a = 9in[/tex]
Rainer earns four dollars in rewards for every $75 he spends at the grocery store if he earned $44 in rewards last month how much did he spend at the store
Answer:
dont really know this one sorry:)
Step-by-step explanation:
Susan is a poet . She purchased her materials for $50 and sells her poems for $17 each. She wants to buy a new easel board for $215. How many poems must she sell in order to afford the new easel? Write inequalities for the context
3х - 7 = 41
x = -2 - 21
Answer:-20=41
Step-by-step explanation:
3(-2-21)-7=41
N is a multiple of 5
A = N + 1
B = N – 1
Prove, using algebra, that A2 – B2 is always a multiple of 20
Answer:
Proved
[tex]A^2 - B^2 = 20, 40,60,80...[/tex]
Step-by-step explanation:
Given
[tex]A = N + 1[/tex]
[tex]B = N - 1[/tex]
Required
Prove that [tex]A\² - B\²[/tex] is a multiple of 20
First, we need to evaluate [tex]A\² - B\²[/tex]
Start by applying difference of two squares
[tex]A\² - B\² = (A + B)(A - B)[/tex]
Substitute values for A and B
[tex]A\² - B\²= (N + 1 + N - 1)(N + 1 -(N-1))[/tex]
[tex]A\² - B\² = (N + 1 + N - 1)(N + 1 - N + 1)[/tex]
Collect Like Terms
[tex]A\² - B\² = (N + N+ 1 - 1)(N - N + 1+ 1)[/tex]
[tex]A\² - B\² = (2N)(2)[/tex]
[tex]A\² - B\² = 2N*2[/tex]
[tex]A\² - B\² = 4N[/tex]
Since, N is a multiple of 5, then the possible values of N are:
[tex]N = 5, 10, 15, 20...[/tex]
For each of these values, the possible values of [tex]A^2 - B^2[/tex] are
[tex]A^2 - B^2 = 4N: 4 * 5, 4*10,4*15,4*20...[/tex]
[tex]A^2 - B^2 = 20, 40,60,80...[/tex]
The above shows that [tex]A^2 - B^2[/tex] is a multiple of 20
What is the value of the element at h32 ? H=⎡⎣⎢615−152923−4752⎤⎦⎥ 23 9 2 75
Answer:
I just got this right...hopefully this helps :)
Step-by-step explanation:
Estimate.
-49/100 + 10/21 = ?
a. -1
b. 0
c. 1
d. 2
20 points! Please help! And hurry!
Answer:
0 (b)
Step-by-step explanation:
So we're estimating in this one.
we can round -49/100 to -50/100 and 10/21 to 10/20
Then we can get a common denominator
10/20 will become 50/100
so
-50/100 + 50/100 = 0
So your answer is b.
Answer:
B. 0
Step-by-step explanation:
-49/100 + 10/21
They are both about half
Therefore, since one is negative and the other is a positive they would equal about .02 which the closest number out of the 4 answers would be B. 0
Which statement illustrates the commutative property of addition?
A. (8i + 4) + (-8i – 4) = 0
B. (8i)- (-8i)= 0
C. 8i + 4 = 4i + 8
D. 8i + 4 = 4 + 8i
Answer:D
Step-by-step explanation:its the same thing but the numbers are flipped, you get the same answer either way.
The statement that illustrates the commutative property of addition is
8i + 4 = 4 + 8i. The correct option is D.
What is the commutative property of addition?The commutative property of addition:
Let a and b are numbers.
a + b = b + a
The change in the position of two numbers in an addition operation does not change the sum.
The commutative property of addition:
Let a and b are numbers.
So, a + b = b + a.
LHS = 8i + 4
= 2 (4i+2)
= 2(2 + 4i)
= 4 + 8i
That means, 8i + 4 = 4 + 8i holds the commutative property of addition.
Therefore, the equation is 8i + 4 = 4 + 8i.
To learn more about the commutative property;
https://brainly.com/question/778086
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PLS HELP GIVING BRANLIEST AND 20 PTS
Answer:
tito
Joshua
Caleb
Arthur
Consider the points below.
P(2, 0, 2), Q(−2, 1, 3), R(4, 2, 4)
(a) Find a nonzero vector orthogonal to the plane through the points
P, Q,
and R.
Answer:
a) The nonzero vector orthogonal to the plane through the points P, Q and R is (0, 10, -10).
b) The area of the triangle PQR is [tex]5\sqrt{2}[/tex].
Step-by-step explanation:
The statement is incomplete. The complete question will be presented below:
Consider the points below: P(2, 0, 2), Q(−2, 1, 3), R(4, 2, 4)
(a) Find a nonzero vector orthogonal to the plane through the points
P, Q, and R. (b) Find the area of the triangle PQR.
a) Let [tex]P(x,y,z) = (2,0,2)[/tex], [tex]Q(x,y,z) = (-2,1,3)[/tex] and [tex]R(x,y,z) = (4,2,4)[/tex]. First, we construct vectors PQ and PR by using the following formulas:
[tex]\overrightarrow{PQ} = Q(x,y,z) -P(x,y,z)[/tex] (1)
[tex]\overrightarrow{PQ} = (-2,1,3)-(2,0,2)[/tex]
[tex]\overrightarrow{PQ} = (-4,1,1)[/tex]
[tex]\overrightarrow{PR} = R(x,y,z) -P(x,y,z)[/tex] (2)
[tex]\overrightarrow{PR} = (4,2,4)-(2,0,2)[/tex]
[tex]\overrightarrow{PR} = (2,2,2)[/tex]
Then, we can find the nonzero vector orthogonal to the plane by means of the following cross product:
[tex]\vec S = \overrightarrow{PQ}\,\times\,\overrightarrow{PR}[/tex]
Which can be solved by the following determinant (Law of Sarrus):
[tex]\vec S = \left|\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\-4&1&1\\2&2&2\end{array} \right |[/tex]
[tex]\vec S = (2-2,2+8, -8-2)[/tex]
[tex]\vec S = (0, 10,-10)[/tex]
The nonzero vector orthogonal to the plane through the points P, Q and R is (0, 10, -10).
b) The area of the triangle is determined by the following formula:
[tex]A = \frac{1}{2}\cdot \|\overrightarrow{PQ}\,\times\,\overrightarrow{PR} \|[/tex]
[tex]A = \frac{1}{2}\cdot \|\vec S\|[/tex] (3)
[tex]A = \frac{1}{2}\cdot \sqrt{0^{2}+10^{2}+(-10)^{2}}[/tex]
[tex]A = 5\sqrt{2}[/tex]
The area of the triangle PQR is [tex]5\sqrt{2}[/tex].
Find the value of x in the given
right triangle.
Answer:
x = 10.6 units
Step-by-step explanation:
We can use sine to solve this since sine is opposite over hypotnuse.
sin(62) = x/12
.883 = x/12
x = .883 * 12
x = 10.6
how do you write 45% in decimal and fraction in its lowest form?
Answer:
as a decimal = 0.45
Fraction= 9/20
Step-by-step explanation:
what is 9 x 34 and explain
Answer:
306. If you multiply 30 and 9 you will get 270, and if you add 4 * 9, which is 36, you will get 306.
Step-by-step explanation:
I hope that helped you out! :)
The Multiplication of 7 and 2 results to 14.
What is Multiplication?
The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
We have to multiply 9 x 34.
So, we can split the number 34 as (30 + 4) then
First, 9 x 30 = 270
and, 9 x 4 = 36
Now, add the values
9 x 34
= 270 + 36
= 306
Learn more about Multiplication here:
https://brainly.com/question/11527721
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3. (7.4D) If the original quantity is 20 and the new
quantity is 25, what is the percent change
Answer:
25% increase
Step-by-step explanation:
[tex]\frac{(v_{2}- v_{1}) }{|v_{1}| }x100[/tex]
[tex]\frac{25-20}{|20|}x100[/tex]
=[tex]\frac{5}{20}x100[/tex]
=0.25×100
=25% change
=25% increase
Helpppppp pleaseeeee
Evaluate: (4x¹⁴)(8x¹¹) *
Answer:
32x^25
Step-by-step explanation:
4x^14*8x^11
Connor drove 340 miles on 8 gallons of gas. How many miles did his car travel per gallon of gas?
Answer: He drove 42 miles per gallon and remainder 4.
Step-by-step explanation:
Two families go to a theatre
Answer:
go and watch a movie together
What is the slope of the line?
Hey there!
the slope of the line is [tex]3[/tex]
Slope is [tex]\frac{rise}{run}[/tex], meaning that the slope is [tex]\frac{3}{1}[/tex] or [tex]3[/tex]
Hope it helps and have a great day!
Are the two triangles congruent
Answer:
the answer is B
Step-by-step explanation:
different sides are marked
Answer:
c.
Step-by-step explanation:
even though that the 2 cides are not congruent to each other, it must be asking for the perimeter of the triangle. we don't know if it is congruent because we do not know the length of the last side.
Which lists ALL the factors of 100?
1, 2, 4, 25, 50, 100
1, 2, 4, 5, 6, 10, 25, 50, 100
1, 2, 4, 5, 10, 20, 25, 50, 100
1, 2, 5, 10, 20, 50, 100
Answer:
the third one
List 3
Step-by-step explanation:
1*100=100
2*50=100
4*25=100
5*20=100
10*10=100
Jack buys a pool with 400 gallons, and it take 8 hours to fill. How many gallons were poured per hour?
Answer:
50 gallons
Step-by-step explanation:
400/8 = 50
Answer:
50 gallons were poured per hour
Step-by-step explanation:
hope this helps
