By moving -8 to the right hand side, we have
which gives
Then, the answer is -4
Another way to see this is by considering the
Josephina likes the service received at her favorite cafe and wants to leave a 20% tip. Her bill is 22.00. how much should she leave as a tip
Answer:
4.40
Step-by-step explanation:
20% of 22.00 is 4.40
karla is offered a job as parking lot attendant. the job will pay 2400 per month, paid biweekly. along with the base salary, the company offers to pay half the cost of medical insurance and will match karlas contribution to a retirment plan up to a total of 1500. if the full cost of the medical insurance is 450 a month and karla plans to contribute the full 1500 every year tpa retirement plan, what is the actual annual value of this job to karla?
The actual annual value of this job to Karla is 33000.
What are arithmetic operations?
Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.
We have,
the job will pay 2400 per month,
if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,
the actual annual value of this job to Karla is:
2400 per month
annual value = 2400 * 12 = 28,800
the medical insurance is 450 a month
half the cost of medical insurance is 225 a month
annual value = 225 * 12 = 2700
the full 1500 every year tpa retirement plan,
So, the total value is:
= 28,800 + 2700 + 1500
= 33000
Hence, the actual annual value of this job to Karla is 33000.
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each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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What is the correct number form for “one and twenty-five thousandths.”
The correct number form for “one and twenty-five thousandths.” is 1.025.
What is a place value?A place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsUnitTensHundredsThousands.Tens of thousands.Hundred of thousands.Millions.Tens of millions.Hundreds of millions.Billions.Twenty-five (25) thousandths as a decimal can be written as follows:
Decimal = 25/1000
Decimal = 0.025.
Combining the word sentence "one and twenty-five thousandths," we have:
Number = 1.025.
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Calculate the distance between the points F=(-1, 7) and L = (2, – 1) in the coordinate plane.
Give an exact answer (not a decimal approximation).
Distance formula = Distance = SQRT((x2-x1)^2 + (y2-y1)^2)
Distance = sqrt((2- -1)^2 + (-1 -7)^2)
Distance = sqrt(3^2 + -8^2)
Distance = sqrt(9+64)
Distance = sqrt(73)
Answer: √73
A cookie recipe calls for 2 1/2 cups of sugar. It makes 60 cookies. You only have 1/2 cups of sugar. How many cookies can you make?
Answer:
12 cookies
Step-by-step explanation:
2 1/2 cups of sugar can be simplified to 5/2 cups of sugar
If 5/2 cups of sugar = 60 cookies, and you only have 1/2 cups of sugar,
you can divide both sides by 5 to satisfy your requirements.
1/2 cups of sugar = 12 cookies
so the answer is therefore 12 cookies
Hope this helped
Sorry if its wrong
:)
Answer:
12 cookies can be made
Step-by-step explanation:
Which person earns a living wage?
A. Paulo earns $350 per week, and his weekly costs are $400.
B. DeMarcus earns $350 per week, and his weekly costs are
$300.
c. Vivienne earns $250 per week, and her weekly costs are
$400.
D. Claudia earns $250 per week, and her weekly costs are
$300.
Answer:
B becouse he earns 350 and spends 300 so he is earning 50 extra
Step-by-step explanation:
Answer:
B. DeMarcus earns $350 per week, and his weekly costs are $300.
Step-by-step explanation:
What is a living wage?The minimum income necessary for a worker to meet their cost-of-living expenses and to provide some discretionary income.
Therefore, a person earns a living wage if their earnings are greater than their weekly costs.
The only person who earns more than their weekly costs is DeMarcus.
Since DeMarcus earns $350 per week and his weekly costs are $300, his income is enough to meet his basic needs with $50 left over.
Amadi has jar with one dollar and two dollar coins in it.
There are coins in total.
A jar of one and two dollar coins.
The ratio of one dollar coins to two dollar coins is .
How many coins are two dollar coins
Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.
Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.
Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.
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What are the x-intercepts of the graph below ?
Answer:
(3, 0)(-2, 0)Step-by-step explanation:
You want to identify the x-intercepts on the graph.
X-interceptAn "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.
The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...
(-2, 0) and (3, 0)
<95141404393>
Divide: 7 5/6 ÷ 2/3 need help
To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.
Step 1: Convert the mixed number to an improper fraction:
7 5/6 = (6 * 7 + 5) / 6 = 47/6
Step 2: Multiply the improper fraction by the reciprocal of the fraction:
47/6 ÷ 2/3 = 47/6 * 3/2
Step 3: Simplify the fraction if possible:
47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12
Step 4: Simplify the fraction further, if necessary:
141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4
Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.
MTH 8 Test Geometric Applications of Exponents 2020-2021
The three side lengths of a triangle are given. Which of the following DO NOT form a right triangle?
Triangle 1: 6, 8, 10
Triangle 2: 6, 10, 12
Triangle 3: 9, 12, 15
Triangle 4: 12, 16, 20
Answer: Triangle 3 is not a right triangle
Step-by-step explanation:
The sides should be able to put into the Pythagorean Theorem if it is a right triangle
Triangle 1: 6, 8, 10... 36+64=100-- true statement
Triangle 2: 6, 10, 12 ... 36+100 - 144-- incorrect statement
Triangle 3: 9, 12, 15... 81+144= 225-- true Statement
Triangle 4: 12, 16, 20... 144+256=400-- true statement
15% OFF!
Gabe wants to buy a dog collar. The sale price is $3.91. What was the original price?
$
the original price was really "x", which oddly enough is the 100%, but today the collar is on sale at 15% off, that means the sale price is 100% - 15% = 85% of the original price, and we happen to know that's $3.91, so
\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} x & 100\\ 3.91& 85 \end{array} \implies \cfrac{x}{3.91}~~=~~\cfrac{100}{85} \\\\\\ \cfrac{x}{3.91} ~~=~~ \cfrac{20}{17}\implies 17x=78.2\implies x=\cfrac{78.2}{17}\implies x=4.6\)
In a room, 9 students have glasses on, while 15 do not. Give the percentage of students wearing glasses. (Round to the nearest tenth of a percent)
Work Shown:
9+15 = 24 students total
9 have glasses, so 9/24 = 0.375 = 37.5% of the class wears glasses.
PLEASE HELP! 40 points!! I've been stuck on this for 30 minutes constantly coming up with all different answers, please help me.
What is the area of rhombus ABCD?
Enter your answer in the box. Do not round at any steps.
______units²
Answer:
36 units^2
Step-by-step explanation:
The area of a triangle is 1/2*base*height. Knowing this is just 2 triangles means you solve for 1 triangle, then multiply that by 2
Answer:
\(A=36\text{ units}^2\)
Step-by-step explanation:
The area of a rhombus is given by the formula:
\(A=\frac{d_1\cdot d_2}{2}\)
Namely, it is half of one diagonal multiplied by the other diagonal.
So, to find the area, we just need to find the length of AC and BD, multiply them together, and then divide by 2.
To find their lengths, we can use the distance formula. The distance formula is:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\)
So, let's find the lengths of each diagonal:
AC:
Point A is (-1,0) and Point C is (-1,-6). Let (-1,0) be (x₁, y₁) and let (-1,-6) be (x₂, y₂). Substitute this into our formula:
\(d=\sqrt{(-1-(-1))^2+(-6-0)^2\)
Simplify:
\(d=\sqrt{(-1+1)^2+(-6-0)^2\)
Add or subtract:
\(d=\sqrt{(0)^2+(-6)^2\)
Square:
\(d=\sqrt{36}\)
Take the square root:
\(d=6\)
So, the length of diagonal AC is 6.
BD:
Point B is at (5,-3) and Point D is at (-7,-3). Let (5,-3) be (x₁, y₁) and let (-7,-3) be (x₂, y₂). Substitute this into our formula:
\(d=\sqrt{(-7-5)^2+(-3-(-3))^2\)
Simplify:
\(d=\sqrt{(-7-5)^2+(-3+3)^2\)
Add or subtract:
\(d=\sqrt{(-12)^2+(0)^2\)
Square:
\(d=\sqrt{144}\)
Take the square root:
\(d=12\)
So, our second diagonal is 12 units long.
Now, to find the area, substitute 6 and 12 into our formula. So:
\(A=\frac{d_1\cdot d_2}{2}\)
Substitute 6 for d₁ and 12 for d₂. So:
\(A=\frac{(6)(12)}{2}\)
Multiply:
\(A=\frac{72}{2}\)
Divide:
\(A=36\text{ units}^2\)
So, the area of the rhombus is 36 squared units.
And we're done!
Notes:
Of course, instead of using the distance formula, you can also just count :)
solve this equation
3/5x-2=2/3x-1
The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.
What is the solution to the given equation?Given the equation in the question;
3 / 5x-2 = 2 / 3x-1
To solve for x, cross multiply the equation
3 / 5x-2 = 2 / 3x-1
3( 3x - 1 ) = 2( 5x - 2 )
Apply distributive property
3( 3x - 1 ) = 2( 5x - 2 )
3×3x + 3×-1 = 2×5x + 2×-2
9x - 3 = 10x - 4
Subtract 10x from both sides
9x - 10x - 3 = 10x - 10x - 4
9x - 10x - 3 = - 4
Add 3 to both sides
9x - 10x - 3 + 3 = - 4 + 3
9x - 10x = - 4 + 3
-x = -1
Divide both sides by -1
-x/-1 = -1/-1
x = 1
Therefore, the value of x is 1.
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In a right-angled triangle the ratio of the two smaller angles is 3:2. Find the sizes of each of the angles.
Answer:
36° , 54° , 90°
Step-by-step explanation:
since the triangle is right then one angle is 90°
the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )
the sum of the 3 angles in the triangle is 180° , that is
3x + 2x + 90 = 180
5x + 90 = 180 ( subtract 90 from both sides )
5x = 90 ( divide both sides by 5 )
x = 18
Then
3x = 3 × 18 = 54°
2x = 2 × 18 = 36°
the 3 angles measure 36° , 54° , 90°
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
C
Step-by-step explanation:
Step-by-step explanation:
Hi tag brainliest ❣️
Thanks
Since the shaded area equal 4
our answer is A
that is the number of shaded area ÷ the total number of points
-
MN has endpoints at M(2,5) and
N(-4, 3). In what quadrant is the midpoint
of MN?
A Quadrant |
B Quadrant II
C Quadrant IIl
Answer:
quad 2
Step-by-step explanation:
Midpoint = (x1 + x2)/2,(y1 + y2)/2
x1 = 2
x2 = - 4
y1 = 5
y2 = 3
midpoint = (2 - 4)/2,(5 + 3)/2
midpoint = -2/2, 8/2
midpoint = -1,4
-1 for x puts you in quad 2 or 3
4 for y puts you in quad 2 because you are going up.
The final answer is in quad 2
Indicate in standard form the equation of the line passing through the given points, in the equation box below. L (5,0), M (0, 5)
Given points
\(L(5,0)\text{ and M\lparen0,5\rparen}\)Solution
Firstly, find the slope
Slope Formula
\(Slope=\frac{y_2-y_1}{x_2-x_1}\)Now
\(\begin{gathered} x_1=5 \\ x_2=0 \\ y_1=0 \\ y_2=5 \end{gathered}\)Plug in into the formula
\(Slope\text{ \lparen m\rparen=}\frac{5-0}{0-5}=\frac{5}{-5}=-1\)\(\begin{gathered} y-y_1=m(x-x_1) \\ y-0=-1(x-5) \\ y=-x+5 \\ \end{gathered}\)The standard form is
\(x+y=5\)Drag each interval to a box to show if the function shown is increasing, decreasing, or neither over that interval.
I NEED HELP ASAP
Each interval that represents the behavior of the function are shown below:
0 < x < 4: increasing.
4 < x < 6: decreasing.
6 < x < 8: increasing.
8 < x < 10: decreasing.
10 < x < 14: neither increasing or decreasing.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
First, we need to know when the function is increasing, and when is decreasing.
It is because greater x-values correspond to higher y-values that a function increases. On the other side, a function decrements when lower y-values are associated with greater x-values. The function will move in the graph in an upward direction when it is rising and in a downward direction when it is decreasing.
So, according to the given graph, we see that between 0 and 4 is increasing, the higher x-values are, higher y-values are. Between 4 and 6 is decreasing, is downwards. Between 6 and 8 is increasing. Between 8 and 10 is decreasing. In finally, between 10 and 14 is neither decreasing or increasing, it remains horizontal.
All these interpretations we can expressed using math language, specifically inequalities:
0 < x < 4: increasing.
4 < x < 6: decreasing.
6 < x < 8: increasing.
8 < x < 10: decreasing.
10 < x < 14: neither increasing or decreasing.
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Complete question:
.If you add 5 to both the numerator and the denominator of a fraction, you obtain 2/3; however, if '
you subtract 5 from both the numerator and the denominator of the same fraction, you obtain 1/4. For what fraction is this true?
Answer:
The fraction that this is true for = 7/13
Step-by-step explanation:
From the above question
Let the numerator be represented by a
Let the denominator be represented by b
If you add 5 to both the numerator and the denominator of a fraction, you obtain 2/3
This means:
a + 5/b + 5 = 2/3
Cross Multiply
3(a + 5) = 2(b + 5)
3a + 15 = 2b + 10
Collect like terms
3a - 2b = 10 - 15
3a - 2b = -5..........Equation 1
If you subtract 5 from both the numerator and the denominator of the same fraction, you obtain 1/4
This means:
a - 5/b - 5 = 1/4
Cross Multiply
4(a - 5) = 1(b - 5)
4a - 20 = b - 5
Collect like terms
4a - b = 20 - 5
4a - b = 15..........Equation 2
b = 4a - 15
3a - 2b = -5..........Equation 1
4a - b = 15..........Equation 2
Substitute 4a - 15 for b in equation 1
3a - 2b = -5..........Equation 1
3a - 2(4a - 15) = -5
3a - 8a + 30 = -5
Collect like terms
3a - 8a = -5 - 30
-5a = -35
a = -35/-5
a = 7
Therefore, the numerator of the fraction = 7
Substitute 7 for a in Equation 2
4a - b = 15..........Equation 2
4 × 7 - b = 15
28 - b =15
28 - 15 = b
b = 13
The denominator = b is 13.
Therefore,the fraction which this is true for = 7/13
To confirm
a) If you add 5 to both the numerator and the denominator of a fraction, you obtain 2/3
This means:
a + 5/b + 5 = 2/3
7 + 5/ 13 + 5 = 2/3
12/18 = 2/3
Divide numerator and denominator by of the left hand side by 6
12÷ 6/ 18 ÷ 6 = 2/3
2/3 =2/3
If you subtract 5 from both the numerator and the denominator of the same fraction, you obtain 1/4
This means:
a - 5/b - 5 = 1/4
7 - 5/13 - 5 = 1/4
2/8 = 1/4
Divide the numerator and denominator of the left hand side by 2
2÷2/8 ÷ 2 = 1/4
1/4 = 1/4
From the above confirmation, the fraction that this is true for is 7/13
the winch on the truck is used to hoist the garbage bin onto the bed of the truck. if the loaded bin has a weight of 8500 lb and center of gravity at g, determine the force in the cable needed to begin the lift. the coefficients of static friction at a and b are ma
The coefficients of static friction at a and b are T = 3600 lb and N_b = 2882 lb.
Given:
Coefficient of static friction at a u_a = 0.2
Coefficient of static friction at b u_b = 0.3
Weight of the loaded bin W = 8500 lb
Find:
Find the force in the cable needed to begin the lift.
Solution:
Draw the forces on the diagram. see attachment.
Take the sum of moments about point B as zero:
(M)_b = W*12 - N_a * 22 = 0
N_a = W*12 / 22 = 8500*12 / 22
N_a = 4636.364 lb
Compute friction force F_a at point A:
F_a = u_a*N_a = 4636.364*0.2
F_a = 927.2727 lb
Take the sum of moments about point A as zero:
-W*10 - F_b*sin(30)*22+ 22*N_b*cos(30) + 22*T*sin(30) = 0
Where, F_b = u_b*N_b = N_b*0.3
Hence, -85000 - 3.3*N_b + 11sqrt(3)*N_b + 11 T = 0
15.753*N_b + 11*T = 85000 ...... (1)
Take the sum of forces in the x-direction equal to zero:
T*cos(30) - N_b*sin(30) - u_b*N_b*cos(30) - F_a = 0
T*cos(30) - 0.75981*N_b = 927.2727 ..... (2)
Solve two equations simultaneously:
T = 3600 lb , N_b = 2882 lb
Refer to this complete question:
The winch on the truck is used to hoist the garbage bin onto the bed of the truck. If the loaded bin has a weight of 8500 lb and a center of gravity at G, determine the force in the cable needed to begin the lift. The coefficients of static friction at A and B are MuA = 0.2 And MuB = 0.3 respectively. Neglect the height of the Support at A.
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You are most likely to encounter an irrational number when you are
Answer:
dealing with circles (using pi for circumference, area, arc angle, etc)
Answer:
Well, you can finding the area of a circle
Step-by-step explanation:
Someone HELPPppp for tmr
Answer:
y=1x-6
Step-by-step explanation:
First we find the slope by using rise over run. So you can either count up and over(rise/run) or use the slope formula y2-y1/x2-x1. You will find that the slope is 1, so plug that into the equation for mx. So we have y=1x so far. Then we find the y-intercept by looking where the graph intersects the y-axis. As you can see it intersects at -6, so plug -6 into the equation for b. No we have our full equation of y=1x-6.
-Hope this helped
Hello, Select all the correct answers (:
Answer:
1. (5)
2.(19)
3.(9)
4.(3)
5.(7)
6.(1)
Step-by-step explanation:
Brainliest Answer:
Please can someone help me with this
10x + 30
10(x+3)
10 x X = 10x
10 x 3 = 30
10x + 30
2x - 2y = 14
x-y= 2
Solve Using Substitution
Evaluate the number sequence. What number should come next in this following sequence? 6, 2, 12, 4, 24 =
Answer: Either 6 or 8
Explanation:
Notice that the first, third and fifth values are: 6,12,24. It appears the pattern here is "times 2". So we double each value to get the next item. This only seems to apply for the odd numbered slots.
For the even number slots, we have the pattern: 2,4. The next item isn't clear. We could do two things
add 2multiply by 2If we go with the first option, then we have 4+2 = 6 as the next term
OR
If we go with the second option, then we have 4*2 = 8 as the next term
Unfortunately, there isn't enough information to know which would actually be the next term. A common problem with sequence problems like this is that there are often many ways to generate the same subsequence, which leads to ambiguity as to what the next term would be.
What is the length of AC ?
A.
24
B.
6
C.
48
D.
12
Answer:
The answer to this problem is 24.( A)
10•1/2+(-6)(-3) Simplified in steps
Answer:
23
Step-by-step explanation:
1) (10*0.5)+(-6*-3)
2) (5)+(18) (The 18 isn't negative because of the rule that states "A negative and a negative will become positive"
3) 5+18=23