Answer:
5000 dollars
Step-by-step explanation:
Let his budget be x
16% of x is 800 dollars
.16 * x = 800
Divide each side by .16
.16x/.16 = 800/.16
x=5000
His budget is 5000 dollars
Michael's total sales last month
was $12,000. If he earned $480 in
commission, what was his
commission rate?
Allen is showing his work in simplifying –8.3 + 9.2 – 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work.
Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify
Answer:
0.2
Step-by-step explanation:
what is 20% by 37 decreased
Answer:
37 decreased by 20% is 29.6.
Step-by-step explanation:
To do this, what we do is simply take 20% of 37 and subtract it from 37.
20% of 37. A trick to easily figure this out is multipling 37 by 20 and dividing by 100.
37*20 = 740
740 / 100 = 7.40
37 - 7.40 = 29.6
37 decreased by 20% is 29.6.
Emma has 23 teddy bears. Noah has 17 teddy bears. How many teddy bears do they have in all?.
Answer:
40
Step-by-step explanation:
23 + 17
= 40
A circle has a diameter of 7
inches. What is the area of
the circle in terms of pi?
A Circle is a closed plane geometric shape figure. The diameter of a circle is the longest chord of a circle. The radius drawn perpendicular to the chord bisects the chord. A Circle is always lie at an equal distance from a center point. Circles having different radius are similar.
Area of Circle:The area of a circle is pi times the radius squared. The unit of area of circle is square units.
[tex]\longrightarrow Area_{(circle)} = \pi r^2[/tex]
Here, r is the radius of the circle.
Elucidation:We are asked to find the area of the circle in terms of pi if the diameter is 7 inches.
We know that, the diameter is twice the length of the radius of a circle. Therefore;
D = 2rr = D/2 = 7/2 = 3.5Now the area of circle will be:
[tex]\implies Area_{(circle)} = \pi r^2[/tex]
[tex]\implies Area_{(circle)} = \pi (3.5)^2[/tex]
[tex]\implies Area_{(circle)} = 12.25 \pi[/tex]
Hence, the area of the given circle is 12.25π square inches.
Answer:
Area of circle = 12.25π square inchesStep-by-step explanation:
In the question we are given that diameter of circle is of 7 inches . And we have asked to find the area of the circle in term of pi ( π ) .
For finding area of circle we must have to know that what is the formula for finding area of circle. So :
[tex] \qquad \qquad \: \red{\underline{\red{ \boxed{ \frak{Area \: of \: Circle = \pi r {}^{2} }}}}}[/tex]
Where ,
π refers to 3.14 or 22/7r refers to radius of circleSolution : -
As in the question we are given length of diameter . So for finding area we need to find the radius of circle .
We know that diameter of circle is two times its radius or ,
[tex] \qquad \: \rm {Diameter = 2 × Radius }[/tex]
So for radius we are dividing both side with 2 :
[tex]\qquad \: \rm { \dfrac{Diameter}{2} = \dfrac{ \cancel{2} × Radius}{ \cancel{2}} }[/tex]
We get that ,
[tex] \qquad \: \rm {Radius = \dfrac{Diameter}{2} }[/tex]
Therefore , we can say that radius of circle is half of its diameter .
Now using this firstly we are finding radius of circle . So :
[tex] \longmapsto \quad \: \boxed{\rm{ Radius = \frac{7}{2} \: \: inches}}[/tex]
Therefore , radius of circle is 7/2 inches .Now , we are moving towards our final solution .
So ,
[tex] \longrightarrow \quad \: Area_ { (Circle)} = \pi( \dfrac{7}{2} ) {}^{2} [/tex]
Calculating further :
[tex]\longrightarrow \quad \: Area_ { (Circle)} = \pi \times \dfrac{7}{2} \times \dfrac{7}{2} [/tex]
After multiplication of 7/2 with 7/2 we get :
[tex]\longrightarrow \quad \: Area_ { (Circle)} = \pi \times \dfrac{49}{4} [/tex]
On dividing 49 by 4 we get :
[tex]\longrightarrow \quad \: \blue{{\boxed{\frak{Area_ { (Circle)} = 12.25\pi \: inches {}^{2} }}}}[/tex]
Remember one thing , we haven't put value of π as 22/7 or 3.14 because in the question it is given that we have to find the area of circle in terms of pi .
Henceforth , in terms of pi ( π ) area of circle having diameter 7 inches is 12.25π inches² .#Keep Learningcan you help me please.
Answer:
Step-by-step explanation:
-x + 2y = 16
y = mx + 8
Start with the top equation. Add x to both sides.
-x + 2y + x = x + 16 Combine the left
2y = x + 16 Divide by 2
2y/2 = (1/2)x + 1/2(16)
y = 1/2 x + 8
If m = 1/2, both equations together will give an infinite number of solutions.
Quadrilateral ABCD has vertices at A(-4,5) B(-1,9) C(7,3) and D(4,-1). What is the most precise name for a quadrilateral ABCD?
Answer:
Rectangle
Step-by-step explanation:
The answer you put was a rhombus , which is wrong . if you put the coordinates in you would see that its a rectangle slightly tilted instead of rhombus , a rectangle has more of a wider side than a rhombus does . please change your answer!
PLEASE help me
this is a 45°-45°-90° triangle.
solve for a.
Answer:
a = 8
Step-by-step explanation:
45° - 45° - 90° triangle
1 - 1 - √2
8 - 8 - √8
TIME SENSITIVE I REALLY NEED HELP
Which function is continuous at x = 18?
Answer:
The answer is D.
Step-by-step explanation:
a) Plugging x = 18 gets numerator 0^2/18 = 0 that not continuous.
b) Plugging x = 18 the denomiator becomes a value/0 making it undefined.
c) Plugging x = 18 gets tan(2pi) = 0/1 which is 0
d) f(x) = 36 is should be a straight lines at y =36. I think. Best option is D.
Sasha makes a wooden base for a sculpture with the dimensions shown. The sculpture is too heavy for the base, so she needs to add a brace from point C to point E to make the base stronger.
How long does the brace need to be? Round your answer to the nearest tenth.
with explanation
A. 5.4
B. 2.6
C. 3.4
D.5.1
Answer:
A. 5.4
Step-by-step explanation:
I think... I haven't done this sort of question in a while
50 POINTS
What is the value represented by the letter E on the box plot of the data?
45, 45, 50, 55, 60, 65, 72, 75, 80, 80, 90
Answer:
90
Step-by-step explanation:
In a box plot, the point farthest to the line is the greatest or maximum number of the problem(in this case E). You look for the greatest number out of them all and that would be your answer(90).
Can i pretty please with a cherry on top get brainliest??
:>
Please help :( Algebra 2 Question
A child arranges toy action figures into rows. The first row has three action figures and each row after the first has six more figures than the row before it. Write a rule for the number of action figures in the nth row. If there are nine , how many action figures are there?
Answer:
number of action figures = 3 + 6(n-1)
at n = 9: number of action figures = 51
Step-by-step explanation:
first row: 3
second row: 6 more than the row before it (3) = 6 + 3 = 9
third row: 6 + 9 = 15
arithmetic series: [tex]a_n = a_1 + (n-1)d[/tex], where
[tex]a_n[/tex] is the nth term in the output
[tex]a_1[/tex] is the first output
n is the input
d is the difference between terms
here, we are given the row, and we want to figure out the number of action figures. thus, row = input and number of action figures = output.
the first output, in the first row, is 3
the difference between the number of action figures in each row is 6
thus, our formula is
[tex]a_n = 3 + (n-1)6 = 3 + 6(n-1)[/tex]
when the row is 9, the number of action figures is equal to
3 + 6(9-1) = 3 + 6 * 8 = 51
Miss David's birthday is in April, and she is going to have a party. She is
looking to buy a bag of decorations. Each bag has two different types of
decorations: balloons and streamers. The first bag has 10 balloons and 4
streamers. The second bag has 12 balloons and 5 streamers. The last bag
has 8 balloons and 10 streamers. Bag 1 costs $82, bag 2 costs $100, and
bag 3 costs $120.
How much does each type of decoration cost?
How did you get your answer?
what equation did you use?
Answer:
120
Step-by-step explanation:u need to add it all and divide 4
Jalen bought 4 pizzas. He also spent $8 on wings. He paid a total of $60. He can use the equation 4p + 8 = 56 to determine the price of each pizza. How much was each pizza?
Answer:
13 dollars a pizza because if you put 4x13 that is 52 then add the wings 8$ that is your answer 60....
Step-by-step explanation:
Hopefully It helped ya... (:
Answer:
p = 12
Step-by-step explanation:
Given:
Jalen bought 4 pizzas. He also spent $8 on wings. He paid a total of $60. He can use the equation 4p + 8 = 56 to determine the price of each pizza.
To Find:
How much was each pizza?
Solution:
Since it already given a equation thus we can just solve using the equation given:
4p + 8 = 56
Subtract 8 from both sides
4p + 8 = 56
- 8 -8
-----------------------
4p = 48
Divide both sides by 4
4p/4 = 48/4
p = 12
Hence, each pizza cost $12.
Kavinsky
please help me
Mario flips a coin, then rolls a standard six-sided number cube. What is the probability that Mario gets tails and rolls a number greater than 4?
Enter a number in the box.
Answer:
1/6.
Step-by-step explanation:
Prob(Tail) = 1/2
Prob(gets number > 4 , that is a 5 or a 6) = 2/6 = 1/3.
So required probability = 1/2 * 1/3
= 1/6.
The individual probabilities are multiplied as the 2 events are independent.
The probability that Mario gets tails and rolls a number greater than 4 is,
⇒ 1 / 6
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
Mario flips a coin, then rolls a standard six-sided number cube.
Now, We get;
The probability to get tails is,
⇒ 1 / 2
And, The probability to get a number greater than 4 (5 and 6) is,
⇒ 2 / 6
⇒ 1 / 3
Thus, The probability that Mario gets tails and rolls a number greater than 4 is,
⇒ 1/2 × 1/3
⇒ 1 / 6
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how do calculate probablility
Answer:
Let me get my notes real quick. Give me a few seconds. Ok, in order to dermine propability you first do:
1: Determine the event (Like picking out 2 red marbles from a bag.) with 1 outcome (In this case, getting the marbles.)
2: Find the total amount of outcomes, like 1 7 2 9 1 2 2 2, (Example: What is the propability of geeting a 2? 4/8/50%)
3: Divide the number of events (How many times you've done it.) by the number of possible outcomes.
That's all there is.
Please show the work thank you!
Answer:
a= 1/4 , h=8 , k = -12
Step-by-step explanation:
There is really not much to say.
[tex]y=\frac{1}{x}[/tex] , [tex]y=\frac{1}{4x-32}-12[/tex]
Factor the denominator by 1/4.
[tex]y=\frac{1}{4(x-8)}-12[/tex]
You got your formula: [tex]y=\frac{a}{x-h}+k[/tex]⇒[tex]y=a\frac{1}{x-h}+k[/tex]
a= 1/4 means to shrink due to it being fraction.
h=8 means 8 right
k = -12 means 12 down.
help math highschool
Answer:
Your answer is d) 3, 7, 8.
Step-by-step explanation:
s and t are parallel and r is transversal.
4 and 3 are congruent as the vertical angle.
4 is 7 is alternative exterior angles.
4 and 8 are corresponding angles.
Jacob is twice as heavy as Ken Linda is half as heavy as Ken Giver 3 children is at least 35 kg. a By letting Linda's mass be x, write an inequality for the total mass of the 3 children b. Hence, find the minimum mass of Ken Monica wanted to buy x notebooks at $3.50 each and 15 rulers at $(x+0.20) each She had a budget of $105 only c. Write an inequality for Monica's total expenditure . Hence, how many notebooks can she buy at most?
==> she can buy 45 notebooks at most.
[tex] \: \: \: \: [/tex]
What is the range of the function shown in the graph
Answer:
( -3 , ∞)
Step-by-step explanation:
Joe, a plumber, charges $45 per hour plus
$100 for making an in-home visit. Write
and solve an equation to find out how
many hours of plumbing work are needed
Answer: The answer is five
Step-by-step explanation:
Set y = z
50x + 75 = 65x
Subtract 50x from both sides
50x (-50x) + 75 = 65x (-50x)
75 = 15x
Divide both sides by 15
75 (/15) = 15x (/15)
5 = x
And there we have it, x = 5! So it takes 5 hours of work for each to cost the same.
Answer: (Y - 100)/ 45 =No of hours
where y is the full payment
Step-by-step explanation:
Charges per hour plus visit is 45+100 where 100 Is fixed
2hr is (45 × 2) +100
Payment y for Xhrs= 45X + 100
Y =45X + 100
Y -100 =45X
Y -100/45 = X
cylinder:
diameter = 6 mm
height = 18 mm
Answer:
508.9
Step-by-step explanation:
giving 50 points it's grade 9 algebra 1 help please
Answer:
(a) y = 34.27 + 7.79x
(b) r = 0.98 (nearest hundredth)
(c) strong, positive correlation - as the students spends more time studying, their test scores increase.
Step-by-step explanation:
Correlation measures how closely two variables are linked.
If two variables are correlated, you can draw a line of best fit on the scatter plot.
Explanatory (independent) variable is drawn on the x-axisResponse (dependent) variable is drawn on the y-axis.Linear regression is a method for finding the equation of a line of best fit on a scatter plot.
The regression line of y on x is: y = a + bx
where a = y-intercept and b = gradient
If b is positive, the variables are positively correlated.
If b is negative, the variables are negatively correlated.
Part (a)Inputting the data from the table into a calculator and using the statistical function:
a = 34.27272727
b = 7.792207792
Therefore, the linear equation is:
y = 34.27 + 7.79x
Part (b)The correlation coefficient is the Product Moment Correlation Coefficient (r) and measures the strength of the linear correlation between two variables.
Again, inputting the data from the table into a calculator and using the statistical function:
r = 0.9815741571
⇒ r = 0.98 (nearest hundredth)
Part (c)The r value is always between +1 and -1. The closer it is to +1 or -1, the stronger the correlation between the two variables.
Values close to +1 mean a strong, positive correlation.Values close to -1 mean a strong, negative correlation.Values close to zero mean a weak correlation.Therefore, as r is very close to +1, the correlation coefficient suggests a strong, positive correlation. In the context of the problem, this suggests that as the students spends more time studying, their test scores increase.
Look at
Which of the following is the best description for this type pair of angles?
Answer:
Complementary angles
Step-by-step explanation:
Complementary angles because the two angles is shared on a same line as each others.
Researchers capture and mark 43 squirrels in a park. The next week, researchers capture 50 squirrels and 38 of them are marked from the previous month. Estimate the squirrel population in the park.
The question is an illustration of sample and population, and the estimate of the population of squirrel in the park is 55
How to determine the population of squirrel?The given parameters are:
Marked squirrels = 43
Captured squirrels = 50
Of the 50 captured squirrels, 38 are from the marked squirrels.
This means that the number of unmarked squirrels is:
Unmarked = 50 - 38
Evaluate
Unmarked = 12
The population of the squirrel is then calculated using:
Population = Marked + Unmarked
So, we have:
Population = 43 + 12
Evaluate the sum
Population = 55
Hence, the estimate of the population of squirrel in the park is 55
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The Egyptian pyramids have square bases and are roughly twice as wide as they are tall. If a miniature model of the pyramid is 3 inches wide, what is the volume of the model
If a miniature model of the pyramid is 3 inches wide. The volume of the model is 4.5.
Volume of the modelPyramids square bases are twice as wide as they are tall
Model of pyramid=3 inches wide
First step is to find the model height
Let Model height=x
2 × height=weight
2x=3
x=3/2
x=1.5
Second step is to calculate the volume of model:
Volume of model=3×3×1.5×1/3
Volume of model=4.5
Therefore the volume of the model is 4.5.
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need help please :,)
Answer:
x>=324
Step-by-step explanation:
sqrt(x) > = 18 square both sides of the equation
x >= 324
Factor out the following:
-x^5+9x^3
Answer:
x^3(-x+3)(x+3)
Step-by-step explanation:
-x^5 + 9x^3
factor out x^3
x^3(-x^2+9)
9 and -x^2 are perfect squares so we can factor out a 3 and an x to get (-x+3)(x+3)
the fully factored form would be x^3(-x+3)(x+3)
Answer:
-x^3(x - 3)(x + 3).
Step-by-step explanation:
-x^5+9x^3
the greatest common factor = x^3 so we can write it as
x^3(-x^2 + 9)
= -x^3(x^2 - 9)
The expression in the parentheses is the difference of 2 squares so we have:
-x^3(x - 3)(x + 3) Answer.
Identify the area of the polygon with vertices & C(3,3) A(8,-2). S(3,-4), and H(0, -2)
A = 31.5 units^2
A = 28 units^2
A = 25 units^2
A = 35.5 units^2
help me solve this w/work!! tyyyy
The vertices of the polygon form a trapezoid, and the area of the polygon is 28 unit squares
How to determine the area of the polygon?The vertices are given as:
C = (3,3)
A = (8,-2)
S = (3,-4)
H = (0, -2)
The area of the polygon is calculated using:
[tex]A = \frac 12 \sum\limits^{n-1}_{k = 0}(x_ky_{k+1} - y_kx_{k+1})[/tex]
So, we have:
A = 1/2 * |(3 * -2 - 8 * 3 + 8 * -4 - 3 * -2 + 3 * -2 - 0 * -4 + 0 * 3 -3 * -2)|
Evaluate
A = 1/2 * |-56|
Remove the absolute bracket
A = 1/2 * 56
Evaluate the product
A= 28
Hence, the area of the polygon is 28 unit square
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Draw the circle with equation x² + y² = 16
Answer:
Below.
Step-by-step explanation:
The center of the circle is at the origin and its radius is √16 = 4.
So set a compass to 4 and draw a circle with the compass point at the origin.