X = regular hours, v is overtime
Replace the letters with the given hours and sales:
4.50(22) + 4.50(1.5)(8) + 0.18(1892)
Simplify:
99 + 54 + 340.56
Add everything together:
493.56
He made C. $493.56
A function assigns the values. Clifford's gross pay is $493.56. The correct option is C, $493.56.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the function to calculate total amount that is made by Clifford is modeled as,
A = 4.50(x) + 4.50(1.5)(v) + 0.18(d),
where x represents the regular hours, v represent the holiday hours and d represents the sales made by Clifford.
Now, as it is given that Clifford worked 22 regular hours and 8 holiday hours and had $1,892 in food sales. Therefore, if plug the values in the function then,
A = 4.50(x) + 4.50(1.5)(v) + 0.18(d)
A = 4.50(22) + 4.50(1.5)(8) + 0.18(1892)
= 99 + 54 + 340.56
= 493.56
Hence, Clifford's gross pay is $493.56.
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Simplify 8(15) divided by 8(-3)
Answer:
8(15) / 8(-3)
We could go ahead and solve, but we can also cancel out the 8 from the numerator and denominator.
So we are left with: 15/-3.
And that simplifies to -5.
Let me know if this helps!
The simplification of 8(15) divided by 8(-3) gives -5.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
We have to Simplify 8(15) divided by 8(-3)
8(15) / 8(-3)
We could go ahead and solve, but we can cancel out the 8 from the numerator and denominator.
8(15) / 8(-3) = (15) / (-3)
So we are left with 15/-3.
And that simplifies to gives-5.
Hence, the simplification of 8(15) divided by 8(-3) gives -5.
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Divide. Write your answer as a fraction in simplest form. − 1/5÷20=
Answer:
-0.01
Step-by-step explanation:
hope it can work for you mark me as a brain liest plz like and follow me guys
Answer:
-0.01
Step-by-step explanation:
plz help!! will mark brainliest!!
Answer:
correct me if I'm but i think the net cash flow is 3,790 because 2,040 a month income and 1,750 a month for other stuff. 2,040+1,750=3,790
Step-by-step explanation:
the cost of plastering a wall of a room having length 8m and heights 4m at 4s 15 per m² is rs 1560 . find the cost of carpeting the room at rs 300 per m²
Answer:
Here,
length = 8m
height = 4m
4s = 15 per m^2
Now,
300 per meter = 300 * 15 per m^2
= 4500 per m^2
James is saving 5p and 10p coins. He has 75 coins. The ratio of the 5pto the 10p coins is 1 : 1.5. How much are his coins.
Answer:
the total ratio is 1+1.5=2.5
to get the number of 5p coins you get (1/2.5)*75=30
To get the number of 10p you get
(1.5/2.5)*75=45
so he has 30 5p coins and 45 10p coins so the total value Is given by
(5*30)+(10*45)=600
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW RHE ANSWER!!
What is the area of the triangle?
16
10
8
Answer:
Where is the picture of the triangle?
there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three times greater than the number of nickels, and the number of quarters is one greater than double the number of nickels. how many quarters, nickels, and dimes are there?
This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.
I am going to say that:
x is the number of nickels.
y is the number of dimes.
z is the number of quarters.
In all, they are worth $3.65.
A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:
[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]
Dimes: 3 times greater than nickels:
This means that:
[tex]y = 3x[/tex]
Quarters: One greater than double the number of nickels:
This means that:
[tex]z = 2x + 1[/tex]
Value of x:
We have y and z as function of x, so we can replace into the equation and find the value of x, so:
[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]
[tex]0.05x + 0.1(3x) + 0.25(2x+1) = 3.65[/tex]
[tex]0.05x + 0.3x + 0.5x + 0.25 = 3.65[/tex]
[tex]0.85x = 3.4[/tex]
[tex]x = \frac{3.4}{0.85}[/tex]
[tex]x = 4[/tex]
y and z:
[tex]y = 3x = 3(4) = 12[/tex]
[tex]z = 2x + 1 = 2(4) + 1 = 9[/tex]
There are 9 quarters, 4 nickels and 12 dimes.
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6.8 - 4.2b = 5.6b - 3
Answer: b = 1
Step-by-step explanation:
Given
6.8 - 4.2b = 5.6b - 3
Add 4.2b on both sides
6.8 - 4.2b + 4.2b = 5.6b - 3 + 4.2b
6.8 = 9.8b - 3
Add 3 on both sides
6.8 + 3 = 9.8b - 3 + 3
9.8 = 9.8b
Divide 9.8 on both sides
9.8 / 9.8 = 9.8b / 9.8
[tex]\boxed{b=1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Plsss help will mark brainliest
Answer:
394
Step-by-step explanation:
11^2+8*11*3+3^2
121+8*11*3+9
121+264+9
385+9
394
f(x) = x − x^2, find f(x^2)
Answer:f ( x ) − 1 = √ x + 2
Step-by-step explanation:
Answer:
f(x^2) = x^2 - x^4
Step-by-step explanation:
f(x) = x − x^2,
f(x^2) = (x^2) - (x^2)^2, 2 to the power of 2 equals 4
f(x^2) = x^2 - x^4
help me please I'm bad at math
Answer:
123
Step-by-step explanation:
Large rectangle:
8 - 3 = 5
5 × 4 × 3 = 20 × 3 = 60
Smaller rectangle:
3 × 3 × 7 = 9 × 7 = 63
Both:
63 + 60 = 123
Hope this helped.
if the sum of two consecutive odd numbers is 28 . find the numbers.
Answer:
13 and 15
Step-by-step explanation:
13 and 15 are consecutive odd numbers and
13 + 15 = 28
The price for 2 mangoes and 3 guavas is RM 8.00. The price for 3 mangoes and a guava is RM 5.00
i) Form simultaneous linear equations in two variables based on the above situation.
ii) Represent the simultaneous linear equations graphically and explain the type of solutions obtained
here is the answer for question ii
1.Find x,y and z in the figure. 2. find the x and y in the figure
[tex]\\ \sf\longmapsto x+2x+90=180[/tex]
[tex]\\ \sf\longmapsto 3x+90=180[/tex]
[tex]\\ \sf\longmapsto 3x=180-90[/tex]
[tex]\\ \sf\longmapsto 3x=90[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{90}{3}[/tex]
[tex]\\ \sf\longmapsto x=30[/tex]
Now
[tex]\\ \sf\longmapsto x=2y[/tex](Opposite interior angles)
[tex]\\ \sf\longmapsto 2y=30[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{30}{2}[/tex]
[tex]\\ \sf\longmapsto y=15[/tex]
And
[tex]\\ \sf\longmapsto x+z=180[/tex]
[tex]\\ \sf\longmapsto z+30=180[/tex]
[tex]\\ \sf\longmapsto z=180-30[/tex]
[tex]\\ \sf\longmapsto z=150[/tex]
Answer:
Figure 1Straight angle is 180°:
2x + 90° + x = 180° ⇒ 3x = 90° ⇒ x = 30°Alternate interior angles are congruent:
2y = x ⇒ 2y = 30° ⇒ y = 15°Consecutive interior angles are supplementary:
x + z = 180° ⇒ z = 180° - 30° ⇒ z = 150°Figure 2Alternate interior angles:
3x = 5x - 20° ⇒ 2x = 20° ⇒ x = 10°Sum of interior angles of a triangle:
2y + 4y + 5x - 20 = 180° ⇒ 6y + 5*10° = 200° ⇒ 6y = 150° ⇒ y = 25°asnwer question in screenshot pls
It's not a typo that 0 is written twice.
==============================================================
Explanation:
This is considered a step function because it resembles steps or a staircase. The vertical pieces aren't drawn to allow it to remain a function (or else it fails the vertical line test). Also there should be open holes at each left endpoint.
Recall that any horizontal line has a slope of 0 due to the fact that the rise is 0
slope = rise/run
The rise takes care of the vertical change in position. But if the line doesn't go up or down, then rise = 0 leads to slope = 0.
In short, the slope of each horizontal portion is 0. It doesn't matter which sub-section you focus on.
This is why you'll type 0 into the first two boxes.
------------------
As for the remaining two boxes, you'll be looking where the graph is the highest and the lowest to determine the max and min y values respectively.
We see that y peaks at y = 4 at the very top. So you'll type 4 into the third box.
Furthermore, we see that the lowest part of the graph is when y = -3. Therefore, this is the minimum aka smallest y value and you'll type -3 into the fourth box.
13. Find a four digit number that is divisible by 3,
5, and 8.
Answer:
3×5×8=120
Step-by-step explanation:
divisibility and prime number
(x+4)^2 - (x-6)^2 - (x-1)*(x+1)
Answer:
-9
Step-by-step explanation:
Hello!! Please help me solve the question, could you please also tell me which calculator we can use? Thank you
You can use any calculator in Maths.
Can someone give me an example on how to solve non right angled triangles?
First use the
Pythagorean theorem to find the hypotenuse h of the right triangle.
h = √(62 + 82)
= √(36 + 64)
= 10
the sum of two numbers A and B is 25. if one fourth of A is 1 more than one third of B, find the number A.
In April, the number of cars sold was 546.
This was an increase of 5% on the number of cars sold in March.
Calculate the number of cars sold in March.
Answer:
520 cars
Step-by-step explanation:
Let the car sold in March be x, x+5%*x=546. (105/100)*x=546. x=520
If there was an increase of 5% on the number of cars sold in March, the number of cars sold in March was approximately 520.
To calculate the number of cars sold in March, we'll use the information that the number of cars sold in April was an increase of 5% compared to March.
Let's assume the number of cars sold in March is represented by 'x'.
According to the given information, the number of cars sold in April was 546, which is equal to 100% + 5% of the number of cars sold in March.
We can set up the equation:
x + 0.05x = 546
Combining like terms, we get:
1.05x = 546
To solve for 'x', we divide both sides of the equation by 1.05:
x = 546 / 1.05
Using a calculator, we find:
x ≈ 520.00
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guys help pls
Find the ratio in the lowest term
a) 1.5 meter and 75 cm
b) 600 meter and 1.2 km
pls help plss
Answer:
2; 0.5
Step-by-step explanation:
1.5 m and 75 cm
1.5m= 150 cm
150 cm>75 cm
[tex] \frac{150}{75} = 2[/tex]
600 m and 1.2 km
1.2 km=1200 m
600 m<1200 m
[tex] \frac{600}{1200} = 0.5[/tex]
classify the following triangle check all that apply
Answer:
A. Scalene & E. Right
Step-by-step explanation:
The triangle is a scalene-right triangle. It is a right triangle because it has a 90 degree/right angle. It is a scalene triangle because all 3 sides have different lengths.
Find the discriminant of the quadratic equation x2 + 10x + 24 = 0 and use it to determine the number and types of solutions. b2 − 4ac
Answer:
Step-by-step explanation:
x² + 10x + 24 = 0
Discriminant = 10² - 4×1×24 = 4
The discriminant is positive, so there are two distinct, real solutions.
Answer:
The answer is C) 4; Two real solutions.
Step-by-step explanation:
x2 + 10x + 24 = 0 in the function
x2 resembles a
10x resembles b
24 resembles c
so, let's convert.
b2-4ac
(10) ^2 - 4(1)(24)
100 - 96
= 4
helppp, graph of function!!
The two liquids will have the same temperature at 10 units of time after the start of both processes.
Given: Graph showing changes of temperature of liquid A when it is heated and liquid B when it is cooled
To find: The time when the two liquids have the same temperature
The given graph is plotted such that 'P' representing the temperature of the liquid is taken on y-axis and 'x' representing the time is taken on x-axis.
The graphs of temperature change with respect to time, of both liquids A and B are plotted in the same answer space and it is implied that both processes (heating of liquid A and cooling of liquid B) occurs simultaneously.
The time when both liquids have the same temperature is represented by graphs of both liquids having the same 'P' value at the same 'x' value. In other words, it is represented by a point in the answer space at which the graphs of temperature of both liquids intersect.
As can be seen from the given figure, the graphs of temperature change of liquid A and B intersect at the point (10, 30), that is at 'x = 10'.
Since 'x' represents the time, this implies that the two liquids will have the same temperature at 10 units of time after the start of the experiment (x = 0).
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Find an equation of the line through the given points right the final answer in intercept form
Answer:
got it
Step-by-step explanation:
Both and tell why pls……..
Answer:
4) A
5) E
Step-by-step explanation:
#4
[tex]\frac{x}{y}=\frac{1}{10} * \frac{z}{y}[/tex]
[tex]\frac{x}{y} =\frac{1z}{10y}[/tex]
Cross multiply the equation and you get:
[tex]10xy=zy[/tex]
Since [tex]\frac{a}{b}=\frac{c}{d}[/tex] is the same thing as [tex]ad=bc[/tex], you can change the equation into [tex]\frac{x}{z} =\frac{y}{10y}[/tex]
Cancel out the y on the top and bottom and you get 1/10
#5
[tex]\frac{2}{3} *\frac{x}{2} =5[/tex], simplify and you get [tex]\frac{x}{3} =5[/tex] so x=15
[tex]\frac{1}{5} * 3(x)[/tex] is equal to [tex]\frac{1}{5} *3(15)[/tex] after you plug in x, and that is equal to 9
My Math Integers. I'm stuck on this problem.. Someone please help? (-4)(-9) =
Answer:
It is 36
Step-by-step explanation:
minus × minus equals + so its 36
Answer:
36
Step-by-step explanation:
(-4) is -4
then
(-9) then 36
Kandace spent 3/4 an hour putting on her makeup. how many seconds did she spend in front of the mirro?
Answer:
Kandace spent 2700 seconds in front of the mirror
Step-by-step explanation:
3/4 × 60 = 45
She spent 45 minutes on her makeup
If 60 seconds are in a minute,to find how many seconds are in 45 minutes we simply multiply 45 by 60
= 2700
