Answer:
114 watches
Step-by-step explanation:
1. Create an x and y graph. The first x as 25 watches and y as $100 since 25 watches cost $100. Also, in the y column just add $50 in parenthesis next to the y's so you know that each time Sarah gets an additional bonus. Then continue the pattern, with the x column adding by 25. You should stop once you reach 100 watches.
It should look like...
x y
25w $100 ($50)
50w $200 ($50)
75w $300 ($50)
100w $400 ($50)
2. Now you know that 100 watches with additional bonuses cost $450, you create the expression, 450+4x=506 to find out how many watches more need to be sold so the total is $506.
3. Subtract 450 from both sides so the expression simplifies to 4x=56. Then divide 4 on both sides, which gives you 14.
4. Now add the original amount of watches that made 450, which was 100 with 14. This gives you 114 watches.
Last month, Sarah received a total of $506. Sarah sell 114 watches last month.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The first x as 25 watches and y as $100 since 25 watches cost $100.
The given data will be;
x y
25w $100 ($50)
50w $200 ($50)
75w $300 ($50)
100w $400 ($50)
WE know that 100 watches with additional bonuses cost $450,
So the expression wil be, 450 + 4x = 506
Here, the the total is $506.
Subtract 450 from both sides
4x = 56.
Then divide 4 on both sides
x = 14.
Now we will add the original amount of watches that made 450, which was 100 with 14.
100 + 14 = 114 watches.
Thus, Sarah sell 114 watches last month.
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Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles
Answer:
40 + 8pi
Step-by-step explanation:
1/2 circle = 1/2 pi r-squared = 1/2x4x4x pi = 8pi
triangle = 1/2bh = 1/2x8x10 = 40
total area = 40 + 8pi
given f(x) = 3/2x - 5 and g(x) = x^2 + 2x solve for g(-2)
Answer:
g(-2) = 0
Step-by-step explanation:
Given
g(x) = x^2 + 2x
we have to find value of g(-2)
to get that we
need to x = -2 in g(x)
g(x) = x^2 + 2x
g(-2) = (-2)^2 + 2*(-2) = 4 -4 = 0
Thus, g(-2) = 0
On the horizontal line y = 5, there are two points exactly 5 units from the point (7, 1). What is the sum of the x-coordinates of these two points?
Answer:
14
Step-by-step explanation:
The two points on y=5 are (4,5) and (10,5), which can be deducted if you draw a picture with (7,1) and y=5 on it. A vertical line through 7,1 and the line to "some" points on y=5 left and right of it have lengths 4 and 5 respectively.
Then I realized these were two 3,4,5 triangles! So the x coordinates must be at 7-3=4 and 7+3=10 respectively!
The sum of 4 and 10 is 14.
edit: seems to me the sum is 14 regardless of the length of 5??
What is the simplified form of?
Answer:
-2√7(-5.291503)
Step-by-step explanation:
combine like terms
Answer:
[tex] - 2 \sqrt{7} [/tex]
Step-by-step explanation:
[tex]3\sqrt{7} - 5\sqrt{7} = - 2 \sqrt{7} [/tex]
We subtract 3 and 5 and not the numbers under the radical.
The number under the radical can be changed if multiplied or divided.
3-5=-2 or
-5+3=-2
It's like having 5 dollar debt and then paying 3 dollars, you still have to pay those 2 dollars left.
Hope this helps ;) ❤❤❤
10y- 6y subtract 3y - 4y?
Answer:
5ySolution,
[tex]10y -6y - (3y - 4y) \\ = 10y - 6y - 3y + 4y \\ = 10y + 4y - 6y - 3y \\ = 14y - 6y - 3y \\ = 8y - 3y \\ = 5y[/tex]
Hope this helps.
Good luck on your assignment...
PRE CALC, help please
Answer:
option C is correct ...Step-by-step explanation:
Because, x= -1 and x =3 are the solution of function.....Please help out ASAP :)
The tape diagram represents an equation 1/4 m 2/3 write an equation to represent the image
Answer:
1/4+m=2/3
Step-by-step explanation:
The total rectangle is equal to 2/3 as shown on the bottom rectangle.
1/4 and m fit into that same rectangle meaning that 1/4+m=2/3
The equation to represent the image is 1/4 + m= 2/3.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
1/4 and m
and, total = 2/3
So, we add together 1/4 and m then we get 2/3
Then, the mathematical expression is
1/4 + m= 2/3
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Using this coin and a number cube, which simulation would help you answer this question? A professor found that her students pass the final exam about 50% of the time. She gives the exam during the fall, spring, and summer terms. If she has 30 students during each term and you choose a student at random, what are the chances that the student passed the exam during the fall term.
Answer:
didnt understand the quedtion clearly
Which expression is equivalent to 7square root x^2/5 square root y^3? assume y≠0
Answer:
A= (x^2/7)(y^-3/5)
Step-by-step explanation:
7√x^2 / 5√y^3
7√x^2
=(x^2)1/7
=x^2/7
5√y^3
=(y^3)1/5
=y^3/5
Substitute into the expression
(x^2/7) / (y^3/5)
=(x^2/7)(y^-3/5)
Answer:
A
Step-by-step explanation:
edge 2020
Students surveyed boys and girls separately to determine whether they wanted outdoor
recess or indoor recess. After completing the boy survey, it was determined that for
every 17 boys who wanted outdoor, 20 boys wanted indoor. The girl survey had a ratio of
3:2 of outdoor to indoor. If the same number of boys and girls were surveyed, and 85
boys chose outdoor, how many girls do you think chose outdoor?
Answer:
111 girls
Step-by-step explanation:
Given
Boys: Every 17 outdoor ≈ 20 indoor
Girls: 3:2 outdoor to indoor
First, we'll determine the ratio of outdoor to indoor for boys;
Recall that;
17 choose indoor while 20 choose outdoor;
The ratio of outdoor to indoor is;
20 : 17
Convert to fraction:
[tex]\frac{20}{17}[/tex]
Let x represent number of boys that choose indoor when 85 boys chose outdoor;
The ratio of outdoor to indoor is;
x : 85
Convert to fraction
[tex]\frac{x}{85}[/tex]
Equate both fractions
[tex]\frac{20}{17} = \frac{x}{85}[/tex]
Multiply both sides by 85
[tex]85 * \frac{20}{17} = \frac{x}{85} * 85[/tex]
[tex]85 * \frac{20}{17} = x[/tex]
[tex]\frac{1700}{17} = x[/tex]
[tex]100 = x[/tex]
[tex]x = 100[/tex]
This implies that when 85 chose outdoor, 100 chose indoor for boys;
Total = 100 + 85
Total = 185 boys surveyed
Recall that the question says the same number of boys and girls were surveyed
This implies that
Total Girls Surveyed = 185
For the girl ratio;
Outdoor to Indoor= 3:2
Number of girls that chose outdoor is as follows;
[tex]Outdoor = \frac{3}{3 + 2} * Total[/tex]
[tex]Outdoor = \frac{3}{3 + 2} * 185[/tex]
[tex]Outdoor = \frac{3}{5} * 185[/tex]
[tex]Outdoor = \frac{555}{5}[/tex]
[tex]Outdoor = 111[/tex]
Hence, the number of girls that chose outdoor is 111
Solve the rational equation
Answer:
A
Step-by-step explanation:
PLEASEEE HELPP!!! BRINLIEST TO FIRST ANSWER!!
The dance team has 9 dancers to perform different roles in each performance. The probability that the team selects the same order as last performance is 1 divided by 362880 . -Explain where each the numerator and denominator come from. -What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position? Assume these are not the same people. -Create a question, related to the dancers, where you use the indirect method, n(A’), to solve.
Answer:
The probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position is 1/72.
Step-by-step explanation:
It is provided that a dance team has 9 dancers to perform different roles in each performance.
The number of arrangements of the 9 dancers in the different roles is:
Number of order of performance = 9!
= 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 362880
If the team selects the same order as last performance, then the possible number of arrangements is, 1.
The probability that the team selects the same order as last performance is:
[tex]=\frac{1}{362880}[/tex]
Now it is provided that the team puts the top hip hop dancer in the third position and top break dancer in the first position.
So of the 9 positions the 1st and 3rd are occupied.
There are a remaining 7 positions to be filled by 7 dancers.
That can happen in 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 ways.
Compute the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position as follows:
[tex]=\frac{5040}{362880}\\\\=\frac{1}{72}[/tex]
Thus, the probability is 1/72.
A freight train is carrying goods across the country. The number of gallons of fuel it has used varies directly with the distance it has traveled. See the graph
below.
Answer:
0.125 miles per gallon.
Step-by-step explanation:
After 200 gallons used the freight train has traveled 25 miles. This means that we need to divide both sides by 200 to get a singular gallon's worth of miles traveled. 200/200 is 1, and 25/200 is 0.125.
---------------------
Extra
---------------------
IF it were how many gallons per mile, you would divide both answers by 25 resulting in 8 gallons per mile.
Which graph shows a method for finding the image of point D if the parallelogram is reflected across the dashed line? On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. A red dashed line is drawn from point B to point D. D prime = B. On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. A red dashed line splits the image into 2 equals parts with length of 1.4 centimeters. On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. Point D prime is at (2, 6). On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. A vertical dashed line is drawn through the image.
Answer:
This is probably late but the answer is >> BStep-by-step explanation:
Answer:
1 ,2 , 0.5
Step-by-step explanation:
edgy2021
Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin of paint in his store and decides to paint the tank (not the base). If he uses 250 ml to cover 1 , will he have enough paint to cover the tank with one layer of paint? [take π=3.142]
Answer:
Yes, he will have enough paint to cover the tank with one layer of paint.
Step-by-step explanation:
We are given that Tublu buys a cylindrical water tank of height 1.4 m and diameter 1.1 m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank (not the base).
He uses 250 ml to cover 1 [tex]\text{m}^{2}[/tex].
From the question, it is clear the area of the tank which needs to be painted is the lateral surface area (because the base is not included).
The lateral surface area of the cylinder = [tex]2\pi rh[/tex]
where, r = radius of the cylinder = [tex]\frac{\text{Diameter}}{2}[/tex] = [tex]\frac{1.1 }{2}[/tex] = 0.55 m
h = height of the cylinder = 1.4 m
[tex]\pi[/tex] = 3.142 (given)
So, the lateral surface area of a cylindrical water tank = [tex]2 \times 3.142 \times 0.55 \times 1.4[/tex]
= 4.84 [tex]\text{m}^{2}[/tex].
Now, it is given in the question that; Tublu uses 250 ml to cover 1 [tex]\text{m}^{2}[/tex] area, this means that;
To cover 4.84 [tex]\text{m}^{2}[/tex] area, he will use paint = [tex]4.84 \times 250[/tex] = 1210 ml
Since he has a full 2 liters tin of paint in his store which is equal to 2000 ml but he need only 1210 ml of paint.
This means that yes, he will have enough paint to cover the tank with one layer of paint.
What is the volume of the cylinder below?
O A. 3787 unite
O B. 1687 unite 3
O C. 2524 unite 3
O D. 2887 units 3
Answer:
Volume = 252π units³
Step-by-step explanation:
We have been given an obliques cylinder (a cylinder having its bases parallel to each other but are not aligned).
The volume of an oblique cylinder can be found similarly to that of a regular cylinder, with using the formula:
Volume = Base · Height
Where the height in the regular cylinder is taken as the distance from one base to another base, but for oblique cylinder, the height is taken as the perpendicular distance from one base to another base, which in the given diagram, is shown as 7
So, for the given cylinder:
Height = 7
Radius = 6
Volume = Base · Height
Volume = πr² · h
Volume = π(6)² · 7
Volume = 252π units³
What is the measure of 2L?
K
7
7
25°
]
Answer:
its 25° .
because its an isosceles trangle as jk=kl =7.
and angle J is equal to angle L as they are base angles of an isosceles triangle.
Find the missing side length in the attached image.
Answer:
24 units.
Step-by-step explanation:
we can use concept of Thales intercept theorem in this problem
according to this theorem, if there are n lines parallel to each then and two transverse line drawn such that they intersect the three parallel line given the problem, then the parallel line divides the transverse line equal proportion.
For this problem
For the line having length 45, one of the length is 25 units,
then other length will be 45-25 = 20 unit
Now using Thales intercept theorem
30/? = 25/20
30/? = 5/4
? = 30*4/5 = 24
Thus, missing side length will be 24 units.
can you please answer #31?
Answer:
p > -3
Step-by-step explanation:
the open circle means that its either more than or less than
the closed circle means less than or equal to or more than or equal to
the point also landed on -3
hope this helps
Answer:
Its c. p > -3
Step-by-step explanation:
becuase the open circle mean less then or greater then and the way the arrow is facing means p is bigger !!
Find the are of ABC with the side lengths a=8 and b=12, and included angle C=84 degrees. Round your answer to the nearest tenth
Answer:
47.7 square units
Step-by-step explanation:
It is important to know that,
The area of any triangle with two given sides and an inclusive angle = 1/2(absinθ)
In the question above, we are given the following values:
Where : a = 8, b = 12, θ = C = 84°
Area of the Triangle ABC = 1/2 ×( 8 × 12 × sin 84)
Area of Triangle ABC = 47.737050978 square units
Approximately to the nearest tenth = 47.7 square units.
Therefore, the Area of triangle ABC to the nearest tenth = 47.7 square units.
Which inequality represents the values of x that ensure triangle ABC exists? a triangle with side lengths of 6.5 units, 3.5 units, and 2.5 + x units A. 0.5 < x < 7.5 B. 3.0 < x < 7.5 C. -0.5 < x < 7.5 D. -3.0 < x < 7.5
Answer:
D. -3.0 < x < 7.5
Step-by-step explanation:
Given the side lengths of a triangle: 6.5 units, 3.5 units, and 2.5 + x units
For the triangle to exist:
A side length cannot be negativeA side length cannot be zeroTherefore, the third side length
x+2.5>0
x>-2.5
x must be greater than -2.5 and less than or equal to 6.5 units.
The correct option is D which satisfies this condition.
D. -3.0 < x < 7.5
7.
A hobbyist is making a toy sailboat. For the triangular sail, she wants the height h (in inches)
to be twice the length of the base b (in inches). Can the area of the sail be 10 in??
I
Answer:
Yes
Step-by-step explanation:
Since the height is twice the length of base (b), we can say h= 2b.
Since the area of triangle = base x height /2, we can see if it is possible that the area of sail be 10in².
b(2b) /2 = 10
2b² / 2 = 10
b² = 10
b= √10
b = 3.1623in. or -3.1623in.
Even though b can be -3.1623, but since the length in real life cannot be negative, this answer is not valid. Still, 3.1623in. is possible in real life, so, the area of the sail boat can be 10 in².
Yes, the area of the sail can be 10 square inches.
What is area?Area is the amount of area occupied by an object's flat (2-D) surface or shape.
Given:
A hobbyist is making a toy sailboat.
For the triangular sail, she wants the height h (in inches) to be twice the length of the base b (in inches).
Then, height = 2b inches.
That means,
the area of the triangle = 10 square inches.
1/2 x b x 2b = 10
b² = 10
b = √10
Therefore, the area can be 10 square inches.
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what is the average rate of change over the interval [1, 0]
Answer:
2
Step-by-step explanation:
The tecnique that we can use to solve this exercice is Let m be our rate of change and f our function m=[tex]\frac{f(1)-f(0)}{1-0}[/tex]= [1-(-1)]/1 m=2Two brothers, Pedro and John, have a straight log in their backyard. Pedro wants the log cut into 24 equal parts, so he paints red lines on the log and asks a lumberjack to cut the log on the painted lines. John wants the log cut too, but into 18 equal parts. So before the lumberjack arrives, he paints yellow lines on the log, with some yellow lines painted over red lines. The lumberjack arrives and cuts the log on the painted lines of any color. How many cuts did the lumberjack make?
Answer:
35 cuts or 36 parts
The lumberjack cuts 7 numbers of the log on the painted lines.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Let length of the log on the painted lines = 72 units
Pedro wants the log cut into 24 equal parts,
⇒ 72/24 = 3 units
John wants the log cut into 18 equal parts,
⇒ 72/18 = 4 units
Hence, the lumberjack cuts 7 numbers of the log on the painted lines.
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SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Hey there! :)
Answer:
4.
Step-by-step explanation:
Parallel lines contain the same slope. A line that is parallel to y = 4x + 2 has the same slope.
In this instance, a parallel line would contain a slope of m = 4.
Answer:
4
Step-by-step explanation:
Parallel lines have same slope.
given f(x) = x -2, if the domain is 5, find the range
Answer:
Step-by-step explanation:
I don't say u must have to mark my and as brainliest but if it has really helped u then plz don't forget to thank me.....
WILL MARK BRAINIEST IF CORRECT FOR THE FIRST TO ANSWER!!! PLEASE HELP!!!
1. Create a data set with at least 5 values.
2. Write instructions that tell a friend how to find the mean absolute deviation of your data set.
Step-by-step explanation:
6,5,8,2,8,6,5,8,8
To find the mean you MUST add all of the numbers together
then divide by the number of numbers
this will be your mean
Then to find the absolute deviation you must find the absolute value of the numbers in this case they stay the same since the absolute value is NEVER negative....
then you need to find the data value of the entire data set
then subtract the mean from that number!
(08.03)Solve the system of equations and choose the correct answer from the list of options. d + e = 1 −d + e = −5 Label the ordered pair as (d, e). (0, 0) (3, −2) (−2, 3) (−3, 0)
Answer:
(3, -2).
Step-by-step explanation:
d + e = 1
−d + e = −5 Adding the 2 equations:
0 + 2e = -4
e = -2.
Plug this into the first equation:
d + -2 = 1
d = 1 + 2
d = 3.
Check these results in the second equation:
-3 + -2 = -5 - checks out.
Choose the correct answer. Which relation is displayed in the graph?
{(–3, –2), (–1, 1), (1, 0), (2, 3), (4, –2)}
{(–2, 3), (1, 1), (0, 1), (3, 2), (–2, 4)}
{(–3, 2), (–1, –1), (1, 0), (2, 3), (4, 2)}
{(–3, –2), (1, –1), (0, 1), (2, 3), (4, –2)}
Answer:
A) (-3, -2), (-1, 1), (1, 0), (2, 3), (4, -2)
Step-by-step explanation:
From the graph, we have 5 different points.
To write out the coordinates of a point from the graph, you write it in the format (x, y),that is, the x position comma the y position.
Let's start from the left hand side, we have:
(-3, -2), (-1, 1), (1, 0), (2, 3), (4, -2)
These are the points displayed on the graph.
Notice that they are arranged according to increasing x coordinates.