Answer:
Please check the attached graph.
The point of intersection will be: (x, y) = (15, -2)The solution will be:
(x, y) = (15, -2)Hence, option (B) is correct.
Step-by-step explanation:
Please note that the point of intersection is the solution of the two lines on a coordinate plane.Given the system of equation
[tex]\begin{bmatrix}y=\frac{2}{3}x-12\\ y=2x-32\end{bmatrix}[/tex]
Please check the attached graph,
The red line is representing the equation [tex]y\:=\:\frac{2}{3}x-12[/tex]The blue line is representing the equation [tex]y\ =\ 2x-32[/tex]From the attached graph, it is clear that both the lines meet at the point (15, -2).
In other words,
at x = 15, y = -2
Thus, the point of intersection will be: (x, y) = (15, -2)
We already know that the point of intersection is the solution of the two lines on a coordinate plane.
Therefore, the solution will be:
(x, y) = (15, -2)
Hence, option (B) is correct.
which transformation is shown here?
if 7/12 is multiplied by a fraction less than 1 what would be the product
Answer:
Examples below
Step-by-step explanation:
We have the fraction
[tex]\frac{7}{12}[/tex]
It's required to multiply it by any fraction less than 1. Let's select the following fractions. All of them are less than 1 because the numerator is less than the denominator:
[tex]\frac{1}{7}[/tex]
[tex]\frac{4}{5}[/tex]
[tex]\frac{6}{35}[/tex]
The required products are:
[tex]\frac{7}{12}\cdot \frac{1}{7}=\frac{7}{7*12}=\frac{1}{12}[/tex]
[tex]\frac{7}{12}\cdot \frac{4}{5}=\frac{4*7}{12*5}=\frac{7}{15}[/tex]
[tex]\frac{7}{12}\cdot \frac{6}{35}=\frac{6*7}{12*35}=\frac{1}{10}[/tex]
Franklin made $165,000 for the tax year
2017. How much did he pay in FICA taxes ?
Answer: $10,278.90
Step-by-step explanation:
FICA taxes comprise of both the Social Security tax and the Medicare tax rate which in 2017 were 6.2% and 1.45% of income respectively.
The Social security portion is subject to a limit of $127,200 in income but there is no limit for the Medicare tax.
Franklin FICA = (127,200 * 6.2%) + (165,000 * 1.45%)
= 7,886.40 + 2,392.50
= $10,278.90
Which relation diagram represents a function?
Answer:
It is going to be the first one on the top left.
Step-by-step explanation:
the rule for something to be a function is every input must have exactly one output. now that does not mean that two different inputs cannot have the same output. but on a vertical line test every other one would be wrong.
A relation will be a function if for every single input there is only one output thus option (A) is correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given diagrams,
A relation will be a function if for every single input there is only one output.
In the second diagram for input = 5 the output is 2 and -3 so it will not a function. Similarly third and fourth will also not function.
In the first diagram for every single input there is only one output.
Hence "A relation will be a function if for every single input there is only one output".
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Evaluate the following expression, when d=2 and z=6
6z + 3(-7d-5)
Answer:
-21
Step-by-step explanation:
6(6) + 3(-7(2) -5 )
36 + 3( -14 -5)
36 + 3( -19)
= -21
Right Triangle Trigonometry
Answer:
B. 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Angle = 37°
Adjacent Leg = x
Hypotenuse = 10
Step 2: Solve for x
Substitute [Cosine]: cos37° = x/10Isolate x: 10cos37° = xRewrite: x = 10cos37°Evaluate: x = 7.98636Round: x ≈ 8Step-by-step explanation:
please it my steps to work on paper whorksheet
The local amusement park is a popular field trip destination. This year the senior class at HighSchool A and the senior class at High School B both planned trips there. The senior class at HighSchool A rented and filled 6 vans and 7 buses with 292 students. High School B rented and filled2 vans and 14 buses with 494 students. Each van and each bus carried the same number of students. How many students can fit in a bus?
Answer:
How many students can fit in a bus? 34
Answer:
You can fit 34 students on a bus
Step-by-step explanation:
Hope this helps...
Which subtraction problem does NOT require zero pairs to solve using chips ? ( PLEASE ANSWER ASAP )
Answer:
c.
Step-by-step explanation:
Answer:It is not C
Step-by-step explanation:
The price of admission to the Everglades Historical Museum is $11 more for non-members than for members of the museum’s Friends of the Museum program.
If a group of 3 members and 4 non-members pays a total of $79 to visit the Museum, what is the cost, in dollars, of the ticket for one non-member?
Select one:
A. $9.00
B. $11.00
C. $15.00
D. $16.00
Answer:
d. $16.
Step-by-step explanation:
3 members (m) + 4 nonmembers (n) = $79
nonmembers = $11 more or n=m+11 so...
3m + 4(m+11)=79 [replace "n" with "m+11"]
3m + 4m + 44=79
7m + 44 = 79
7m=35 and reduced m=5 so members pay $5 and nonmembers pay 5+11=$16
Need help with question 4
9514 1404 393
Answer:
16/7
Step-by-step explanation:
If the segments are congruent, their lengths are equal:
(1/2)x -3 = 5 -3x
(3 1/2)x = 8
x = 8/(3.5) = 16/7
The value of x is 16/7.
_____
Comment on the question
This value of x makes the lengths of the segments be -13/7 units. Usually, negative lengths are considered impossible for line segments.
a line must contain at least three points
?
Answer:
A plane contains at least three non-collinear points. If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.
Step-by-step explanation:
The band director of Eagle Rock High School asks her students to have a carwash as a fundraiser. They are going to charge $7.50 per car. The graph that represents the situation is shown below. Which of the following statements about the graph are true? Select all that apply. o The graph represents a function since every input value corresponds to exactly one output value. o The graph has an x-intercept. o The graph has a y-intercept. o The y-intercept represents the amount of money raised by the carwash. o The amount of money in the band fundraiser account represents the input values. o The number of cars washed relates to the amount of money in the band fundraiser account.
Answer:
The y-intercept represents the amount of money raised by the carwash.
The graph has a y-intercept
Step-by-step explanation:
Most reasonable, and not only that it's true bc it's shown on the graph label. :)
I WILL GIVE BRAINLIST!!
Showthat (2x+i)(2x−i) = 4x2 +1
(2x + I) (2x-I) = 4x^2 + 1
Using the complex arithmetic rule:
(A + bi)(a-bi) = a^2 + b^2
A would be the 2x and b would be the i
So you would have:
(2x)^2 + (i)^2
(2x)^2 = 2x times 2x = 4x^2
i ^2 = 1
Final answer is 4x^2 + 1
How many 2/3 cup servings are in 1½ cups of cheese?
lol I know this but I'm too lazy
Answer:
2.25
Step-by-step explanation:
1.5 / 0.666 (repeating) = 2.25
Answer:
There are 2 one-quarter cup servings in 1 half cup
In 5.25 cups there are 21 one-quarter cup servings
Step-by-step explanation:
So 21 quarter cup servings divided by 2 quarter cup servings per half cup serving will yield the number of half cup servings.
21/2 is 10.5, so there are ten and half, half cup servings in 5.25 cups
PLSSSSSS I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Simplify Expressions:
[tex]\sqrt{(3-\sqrt{19} )^{2} }[/tex]
Answer:
1.358899 or 3-\sqrt{19}
Step-by-step explanation:
either or
i. what is sec (17pi/3)
Answer:
1.05
Step-by-step explanation:
example sec x=1/cos x
sec(17pi/3)=1/(cos (17pi/3))=1.05029(type on calculator)=1.05
Hope it helps
Solve:
7 (x -3)
What is the answer
Answer:
7x-21
Step-by-step explanation:
Which equation represents the line that is parallel to y=3 and passes through (-2,-8)?
А.x=-2
B. x=3
C. y=-8
D. y= 3x - 2
Step-by-step explanation:
y = 3 is a horizontal line. A line that is parallel would also have the general equation y = c.
Since it passes through (-2, -8) with y-coordinate -8, the line equation is y = -8. (C)
Mr. and Mrs. Brown went to two movies. The first one lasted 3 1/2 hours and the second one lasted 1 1/3 hours . How much longer was the first than the second movie?
Answer:
2 1/6 longer
Step-by-step explanation:
3 1/2-1 1/3
7/2 - 4/3
21/6-8/6
13/6 or 2 1/6
so 2 1/6 longer.
Hope this helps :D
Answer:
2 1/6 hours longer
Step-by-step explanation:
Hope the helps!
what is the answer to 5/6 times 4/3 =
Answer:
[tex]\frac{10}{9}[/tex]
Step-by-step explanation:
Answer: 10/9 or 1.111111111
Step-by-step explanation:
Please Explain and show answer
Looking at the graph. When x = 1, y = 15.
Meaning that each hours, the gallon of water will be filled in 15 gallons.
So in 10 hours, that'd be
10 × 15 = 150 gallons of water.
Therefore, the answer is 150 gallons of water.
5.6 x 10 __= 5,600
hurry
Answer:
its 10^3 power or 1000
Step-by-step explanation:
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
m∠XBC =
°
Answer:
m∠XBC = 135
Step-by-step explanation:
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
From the simplified expression, we need to find the value of p first
From the last line we can see that;
2p =94
Divide both sides by 2:
2p/2 =94/2
p = 47
From the expression, m∠XBC =3p-6
m∠XBC = 3(47)-6
m∠XBC = 141 -6
m∠XBC = 135
Hence the measure of m∠XBC is 135
Answer:
135 the person above e is correct
Step-by-step explanation:
Please Help fast I don’t know
What is the sum of 2x-5y+x+y
Answer:
3x - 4y
Step-by-step explanation:
2x + -5y + x + y
Group Like terms:
2x + x + -5y + y
2x + x = 3x
-5y + y = -4y
3x - 4y
Hayley and Tyra had lunch at
Ruby Tuesday. Their bill was
$22.40. If they leave a 15%
tip, how much is the tip?
What is the value of the expression below when x=5?
Answer:
790
Step-by-step explanation:
You put 5 instead of x and you calculat
6*5^3 +8*5= 750+40=790
Ms manning arranges the desks in her classrooms in rows and columns. There are 4 rows. There are 6 desks in each row. How many desks are there in Manning classroom?
24 desks
Step-by-step explanation:
There are 24 desks because 4 rows multiplied by 6 desks in each row = 24 desks.
mcgregor is growing alfalfa on 180 acres,which is 30% of his farmland. mcgregor has how many acres of farmland?
Answer:
600 acres
Step-by-step explanation:
Hope this helps!
The number of acres of land Mcgregor has 600 acres.
Given that, Mcgregor is growing alfalfa on 180 acres, which is 30% of his farmland.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let the total number of acres be x.
So, 30% of x=180
⇒ 30/100 × x=180
⇒ 0.3x=180
⇒ x=180/0.3
⇒ x=600
Hence, the number of acres of land Mcgregor has 600 acres.
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HELPP QUICKKK its timedd
Answer:
10
Step-by-step explanation: