Answer:
C.
Step-by-step explanation:
You're trying to figure out how many more hours he needs to work in order to have worked for 240 hours.
If Y varies directly as x and y= 49 when x= 40, find y if x =34
Answer:
y = 41.65
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 49 when x = 40
49 = 40k ( divide both sides by 40 )
[tex]\frac{49}{40}[/tex] = k = 1.225
y = 1.225x ← equation of variation
When x = 34 , then
y = 1.225 × 34 = 41.65
(01.04 MC)The elevation of city A is 80 feet below sea level; the elevation of city C is 16 feet below sea level. The elevation of city D is 1 over 2 of the elevation of city C. Part A: Write an expression to represent the elevation, in feet, of city D. (5 points) Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ft
B) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.
First of all, sea level is at 0 ft.
Thus;
If city A has an elevation of 80 ft below sea level, then;
Elevation of city A = -80 ft
The elevation of city C is 16 feet below sea level. Thus;
Elevation of city C = -16 ft
A) The elevation of city D is ¹/₂ of the elevation of city C. Thus;
Expression for Elevation of city D = ¹/₂ × (-16)
B) Solving the expression for elevation of city D gives;
Elevation of City D = -8 ft
The reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.
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Answer:
A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ftB) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.First of all, sea level is at 0 ft.Thus;If city A has an elevation of 80 ft below sea level, then;Elevation of city A = -80 ftThe elevation of city C is 16 feet below sea level. Thus;Elevation of city C = -16 ftA) The elevation of city D is ¹/₂ of the elevation of city C. Thus;Expression for Elevation of city D = ¹/₂ × (-16)B) Solving the expression for elevation of city D gives;Elevation of City D = -8 ftThe reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.
Type the correct answer in each box.
Quadrilateral EBCD is an isosceles trapezoid with m∠EDC = 110°, m∠ABC = 133°, and m∠DEA = 114°.
m∠DEB = __°
m∠BCD= __°
m∠EAB= __°
Answer:
m∠DEB = _70_°
m∠BCD= _110_°
m∠EAB= _73_°
Step-by-step explanation:
To find ∠DEB:
Take the angle of ∠EDC, which is 110°. We know the total degree in a triangle is 180°. So, we do 180° - 110° to get 70°.
To find ∠BCD:
Because EBCD is an isosceles trapezoid, this means that ∠D and ∠C both have the congruent angles. Since we know ∠EDC is 110°, this means that ∠C is also 110°.
To find ∠EAB:
We know that m∠ABC is 133° and ∠DEA is 114°. However, both angles count both the triangle and trapezoid. Previously we figured out that ∠DEB is 70°. We'll take the angle of ∠DEA and subtract the angle of ∠DEB from it, which gets us 44°. To figure out the angle of ∠B, we take the angle of ∠ABC and subtract 70° or the angle of ∠DEB, which gets us 63°. Now we take the total degree of a triangle, 180° and minus both 44° and 63° from it, which is 73°.
- 2021 Edmentum
8 grade math part 1 help me
as an estimation we are told 5 miles is 8km convert 60km to miles
Answer:
60km is 37 Miles
it is a decimal- 37.2 Miles
Step-by-step explanation:
divide 60 by 1.609
Answer: using this we can say that 60km is 37.5 miles
Step-by-step explanation:
first you divide 60 and 8 which gives us 7.5
using this we multiply 7.5*5=37.5
The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
x = –1 and x =
Answer:
x=3
Step-by-step explanation:
factoring
set to 0
Select Is a Function or Is not a Function to correctly classify each relation.
Is a Function Is not a Function
{(2,2),(4,4),(6,6),(8,8)}
Is a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
Is not a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
{(0,3),(3,5),(5,6),(8,4)}
Is a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
Is not a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
{(1,2),(3,3),(4,8),(6,3)}
Is a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
Is not a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
{(3,4),(5,2),(5,6),(7,3)}
Answer:
1.is a function
2. is a function
3. is a function
4. is not a function
Step-by-step explanation:
A store is having a clearance sale where all prices are 30% off. The store is located in a county with a 7.5% sales tax. The final price, including sales tax, of any item in the store will be what percent of the original price? Explain your reasoning.
Ans. 450
Solve.
Add 100and you will get the ans
After the math contest, Basil noticed that there were four extra-large pizzas that were left untouched. In addition, another three slices of pizza were uneaten. If there were a total of 51 slices of pizza left, how many slices does an extra-large pizza have
s = number of slices for a large pizza
so if "s" is the number of slices in 1 large pizza, the total for 1 pizza will just be 1s, for two pizzas will be 2s and so on, so for 4 pizzas the total will just be 4s.
we also know there were an extra 3 slices, and we also know that whatever 4s is plus 3 will give us the total of 51 slices of pizza.
[tex]4s + 3 = 51\implies 4s = 48\implies s = \cfrac{48}{4}\implies \boxed{s = 12}[/tex]
what are the measurements of 1 and 2?
Answer:
8 tablespoons1/2 cup4 ounces10 tablespoons plus 2 teaspoons2/3 cup5.2 ounces12 tablespoons3/4 cup6 ounces16 tablespoons1 cup8 ounces
Monica says,"if 4 bottles cost $10, then 2 bottles cost $5 + $20." Is Monica correct? Explain
6 grade shiiii, help me out doe, thanks luvs <33.
Answer:
Monica is not correct.
Step-by-step explanation:
First of all, if 4 bottles only cost $4, then how would only 2 cost more? (She said the two bottles would be $25, which doesn’t make sense.)
find n. (n!)²- 4n! - 12 = 0
Answer:
n=6 , n=-2
Step-by-step explanation:
[tex]n^{2}-4n-12=0[/tex]
Factorise to give:
[tex](n-6)(n+2)[/tex]
Set first one to equal 0:
[tex]n-6=0[/tex]
[tex]n=6[/tex]
Set second one to equal 0:
[tex]n+2=0[/tex]
[tex]n=-2[/tex]
Reason for 2 solutions:
All quadratics can have a maximum of 2 solutions like this one or a minimum of 0.
The solution(s) is the point where the graph crosses the x-axis
The image below shows the graph of the equation:
[tex]n^{2}-4n-12[/tex]
When y=0:
It intercepts the x-axis at 6 and -2 giving why n has 2 solutions
Your restaurant can seat 150 guests. If 6 tables of 6 are seated, what percent of the restaurant seating is still empty?
Answer:
76%
Step-by-step explanation:
First, we know that 6 tables of 6 are already seated. We can go ahead and multiply 6 by 6, which is 36.
This means that 36 of the 150 seats are already taken.
But, we want to find the amount of seats that are still empty. So, we subtract 36 from 150 to get 114 seats.
The question is asking for the percentage, so we can divide 114 by 150 seats to get 0.76. Then, we have to move the decimal to the right 2 spaces to get 76%
Answer:
76% of the restaurant is still empty
Step-by-step explanation:
6 tables of 6 seated means there are currently 36 people seated. If the restaurant can seat 150 people, 76% of the restaurant is still empty.
[tex]6\times6=36\text{ | there are 36 guests}\\36\div150=0.24\text{ | 24\% of the restaurant is filled}\\1-0.24=0.76\text{ | 76\% of the restaurant is not filled}[/tex]
Pls answer and give explanation will give brainiest
Answer:
I don't know
Step-by-step explanation:
Answer:
11/18
Explanation:
Find the LCM
6 × 3 = 18
9 × 2 = 18
Since you found the LCM, multiply the numerators by the number you multiplied the denominators by.
[tex]\frac{5 *3}{6*3}= \frac{15}{18}[/tex]
[tex]\frac{2*2}{9*2}=\frac{4}{18}[/tex]
Now subtract.
[tex]\frac{15}{18} -\frac{4}{18} =\frac{11}{18}[/tex]
I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height
Answer: 69
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
The x coordinate of vertex J and L are same of x= -2, JL // Y axis
Height is the perpendicular segment (KD) from K to JL, KD // X axis
area = JL * KD /2 = ((1 - -5)* (4 - -2)) / 2 = (6 * 6) / 2 = 18
. Mary has been working hard to pay her bills and as a result she has a good credit rating and has qualified for a lower interest rate credit card. She needs to move and an apartment in a good location is available now. She has money for the monthly rent but she doesn’t have enough cash right now for the month in advance and additional moving expenses. She is expecting a bonus from her job within the next couple of months that will cover these expenses. How could a credit card be a benefit in this situation?
Mary having a credit card could be beneficial to her present situation as it gives her the ability to move to the new apartment without making immediate cash payments.
What is a credit card?A credit card is a payment card issued by a bank or financial services company to a cardholder to enable the cardholder to purchase goods and services on credit and later pay for them.
Credit cards and their interest rates are issued based on the user's credit rating.
What are the benefits of credit cards?Some of the benefits that Mary can derive from using credit cards include:
Ability to move to an apartment using her credit card without making immediate cash payments from her unavailable savings.Make credit purchases and withhold cash payments.The cardholder does not necessarily have to have a checking or saving account.The credit card gives Mary increased purchasing power.Using a credit card now helps Mary to build up her credit rating for future emergencies.Thus, with a credit card, Mary can move to the new apartment by borrowing the required funds for advance payment, including additional moving expenses.
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Which of the following will have the same value as 350 × 10?
Answer: 3500x1 or 35x100
Step-by-step explanation:
350x10=3500
3500x1=3500
35x100=3500
1) -4/3
2) -3/4
3) 10/17
4)17/10
Answer:
boom bam ba boom bam ba
Answer: -3/4
Step-by-step explanation:
The y value is decreasing by -0.75
-3.75 - 0.75 = -4.5
-4.5 - 0.75 = -5.25
-5.25 - 0.75 = -6
ect.
-0.75 in fraction form is -3/4
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
The probability of randomly meeting someone with a phone number that ends in 3 is
Answer:
0,1,2,3,4,5,6,7,8,9
Step-by-step explanation:
: probability of meeting someone with a phone number that ends with 3 .....
= 3/total amount of no ×100
3÷10= 0.3
: 0.3×100= 30% probability.
Assuming a phone number is 10 digits long and the last digit can be any of the 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9) with equal probability, the probability of randomly meeting someone with a phone number that ends in 3 is 1/10, or 0.1.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
If the phone number is 10 digits long, there are 10 possible digits that could be at the end. Since only one of those digits is a 3,
the probability of randomly selecting a phone number that ends in 3 is:
1/10 = 0.1 or 10%
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ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!!!!
Write an equation involving absolute value for the graph.
Answer:
-3<lxl<5
Step-by-step explanation:
take least number than use x in absolute value bars than take highest number sorry if this is wrong I'm just a kid
The Suarez family paid $16.00 for 4 movie tickets. How much would they have paid for 12 tickets?
Answer:
$48
Step-by-step explanation:
Each ticket costs 4 dollars.
Using the slope formula, find the slope of the line through the points (0,0) and (4,8).
Use pencil and paper. Explain how you can use mental math to find the slope of the line. (please show how to do on pencil and paper)
Answer:
[tex]m = 2[/tex]
Step-by-step explanation:
Using mental math to find the slope of the line:
If you think about the formula, then you set up the points in your head, you will notice that the first point is on top of the second point. And that way makes it easy to simplify. All you would need to do is subtract down in your head: For example:
(0, 0)
(4, 8)
As you can see, the first point is on top of the other, and that way you can just subtract from bottom to top. If you do it that way, it is set up (Remember, you would do this all in your head)
A cylindrical barrel has a radius of 2.1 ft and a height of 14 ft. Doubling which dimension(s) will double the volume of the barrel?
Answer:
Step-by-step explanation:
r = 2.1 feet
h = 14 feet
V = pi r^2 h
V = 3.14 * 2.1^2 * 14
V = 193.85
Let h = 28 feet
V = pi * r^2 * h
V = 3.14 * 3.2^2 * 28
V = 387.72
If you divide 387.72 by 2 you get 193.86
The difference in the hundreds place comes about because of the rounding that took place.
The answer to your question is you must double the height,
3. The lacrosse team is raising money by selling cheesecakes. The players plan to sell an entire cheesecake for $24.00 each and slices of cheesecake for $3.50 each. If they want to raise at least $700, how many of each could they sell?
Part A: List three possible combinations of entire cheesecakes and slices of cheesecake the players could sell to reach their goal of raising at least $700.
Part B: Write an inequality to represent the situation.
Part C: Graph the inequality and shade where the solutions are. y X
Part D: What is the difference in the amount of money raised for ordered pairs falling on the line and the ones that fall in the shaded area?
Part E: What do the x- and y-intercepts represent?
To reach a raise of $ 700, you can sell 20 entire cheesecakes and 63 slices, or 10 entire cheesecakes and 132 slices, or 15 entire cheesecakes and 98 slices.
To determine, if they want to raise at least $ 700, how many of each could they sell, listing three possible combinations of entire cheesecakes and slices of cheesecake the players could sell to reach their goal, the following calculation must be performed:
C + S = 700 24 x 20 = 480 700 - 480 = 220 / 3.5 = 62.85 24 x 10 = 240 700 - 240 = 460 / 3.5 = 131.42 24 x 15 = 360 700 - 360 = 340 / 3.5 = 97.14Therefore, to reach a raise of $ 700, you can sell 20 entire cheesecakes and 63 slices, or 10 entire cheesecakes and 132 slices, or 15 entire cheesecakes and 98 slices.
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A vehicle was travelling at a speed of 72km per hour. What distance did it cover in 2 hours? A. 158km B. 148km C. 168km D. 144km
Answer:
D. 144km
Step-by-step explanation:
If the vehicle travels 72km every hour, in two hours, it will drive 144km. (72x2=144)
Help!!!! Need this asap!!!
Answer:
the graph is in link
Step-by-step explanation:
y ..... means full line and shading above the line
Y< ......means doted line and shading below the line
A) solution is overlapping shaded part
B) (10,5)
plug in point in inequalities and check if it's true; if it's true you showed that solution is correct
1. 5-1/2*10 + 2 1/2
5 -5 + 2 1/2
5 -2 1/2 TRUE
2. 51/5*10 + 6
5< 2 + 6
5< 8 TRUE
I need help with pre calculus.
Problem 1
Answer: Choice A. (0,9)---------------------
Explanation:
The first task is to determine the function for f(x). Because it's linear, it's in the form y = mx+b. Let's find the slope m.
Select any two columns to pick out (x,y) points from the f(x) function. I'll pick the first two columns to select the points (-6,15) and (-4,11). Apply the slope formula to these two points to get...
m = (y2-y1)/(x2-x1)
m = (11-15)/(-4-(-6))
m = (11-15)/(-4+6)
m = -4/2
m = -2
Then use this m value along with any of the points of the table to determine the y intercept b. I'll use the point (-6,15)
y = mx+b
b = y-mx
b = 15-(-2)*(-6)
b = 15-12
b = 3
The y = mx+b equation becomes y = -2x+3 and that leads directly to the function f(x) = -2x+3.
Repeat all of those steps but do so for g(x) this time. I'll skip those steps over but you should get the function g(x) = 5x-6.
The y intercepts of f(x) and g(x) found were 3 and -6 respectively. Subtract those values to find the y intercept of h(x) = (f-g)(x) = f(x)-g(x).
So we get 3-(-6) = 3+6 = 9 which leads to the location (0, 9).
=========================================================
Problem 2
Answer: Choice Ax is any real number but x cannot equal -2, -1 or 1.---------------------
Explanation:
Through trial and error, the factor by grouping method, or using your graphing calculator, factor the denominator to get
g(x) = x^3+2x^2-x-2 = (x+2)(x+1)(x-1)
The factors (x+2), (x+1) and (x-1) lead to the roots of x = -2, x = -1, and x = 1 in that order. Those three roots of g(x) will make g(x) = 0 and cause a division by zero error in the denominator. So we must kick out those three values from the domain. Every other real number is allowed in the domain. So that's how we get the notation for choice A. It starts off saying x is a real number. Then it goes onto say that -2, -1 and 1 aren't allowed.
So overall the domain is described as: "x can be almost any real number except x cannot be -2, cannot be -1, and it cannot be 1".
Side note: We don't involve the numerator function at all.
=========================================================
Problem 3
Answer: Choice B. 2x+1 and x-3---------------------
Explanation:
The height is x, which we can factor out like this
2x^3-5x^2-3x
2x^2*x - 5x*x - 3*x
x(2x^2-5x-3)
Effectively you would use the distribution rule in reverse.
Now let's factor the remaining expression in the parenthesis.
I'll use the factor by grouping method.
2x^2-5x-3
2x^2-6x+1x-3
(2x^2-6x) + (1x-3)
2x(x-3) + 1(x-3)
(2x+1)(x-3)
Therefore, the full factorization is
x(2x+1)(x-3)
which shows we have the dimensions of x, (2x+1) and (x-3). The order doesn't matter so we could easily have (2x+1) the length and (x-3) the width, or we could have it the other way around.
You can verify that (2x+1)(x-3) expands out to 2x^2-5x-3 using either the FOIL method or the box method.
Line y=2x+3 is tangent to a circle with center (2,-3). Which of the length of the radius of the circle?
Answer:
[tex]2\sqrt{5}[/tex]
Step-by-step explanation:
Since it is tangent to the center, the perpendicular line passes through the center, (2,-3). We find the slope of the perpendicular line to be -1/2 (perpendicular to a slope of 2). We can use point slope form to find the line from the tangent line to the center:
y+3=-1/2(x-2)
We can simplify this to
y= -1/2x-2
We can then check the point of intersection:
-1/2x-2=2x+3
-5=2.5x
x=-2
we can plug this in to the first equation to get y=2(-2)+3=-1
So the point of intersection of the circle and the tangent line is (-2,-1)
Then we find the distance of this point to (2,-3) and we can use pythagorean theorem.
[tex]\sqrt{(-2-2)^{2}+(-1-(-3))^{2} } =\sqrt{(-4)^{2}+2^{2} } =\sqrt{20} =2\sqrt{5}[/tex]
The radius of the circle is [tex]2\sqrt{5}[/tex]
For Line y=2x+3 is tangent to a circle with center (2,-3) then the length of the radius of the circle is 10/√5
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
The line y=2x+3 is tangent to the circle with center (2,-3)
The distance from the center of the circle to the line is equal to the radius of the circle.
The distance from a point (x₁, y₁) to a line Ax + By + C = 0 is given by the formula:
d = |Ax₁+ By₁ + C| /√A² + B²
The equation of the line is y = 2x + 3, which can be written in the form Ax + By + C = 0 as (-2)x + y - 3 = 0.
d = |-2(2) + (-3) - 3| / √(-2)² + 1²
d=10/√5
The radius of the circle is equal to the distance from the center to the tangent line, which is:
radius = 10/√5
Hence, for Line y=2x+3 is tangent to a circle with center (2,-3) then the length of the radius of the circle is 10/√5
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The probability of any player winning 1 of 4 games is shown in the table. Three friends are going to play one of the games. The friends want to play the fairest game. Which game should they play? A) Game #1 B) Game #2 C) Game #3 D) Game #4
Answer:
Game #1B is the correct answer i guess so