Answer:
x = 2
Step-by-step explanation:
0.666/5 = (2/3)/5 = 2/15
Therefore, x = 2.
Bea's catering charges $3 per person and a $60 clean-up fee to cater banquets. Write an equation to find the number of students (n) that could attend the French clubs banquet if they had a budgeted $200 for catering
Answer:
The required equation will be:
200 = 3n + 60Step-by-step explanation:
We know the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where 'm' is the slope or rate of change and 'b' is the y-intercept of the equation
Let 'n' represents the number of students (n).Let 'c' represents the cost budget.Given that Bea's catering charges $3 per person.
Thus, the slope or rate of change = m = 3 dollars per personGiven that the clean-up fee to cater banquets = $60
In other words, $60 is the initial condition or y-intercept.
Thus, the y-intercept b = 60Given that the cost budget = c = $200
Thus, the equation becomes
c = mn+b
substituting c = 200, m = rate of cgange = 3, b = 60
200 = 3n + 60 ∵ comparing with y = mx+b
Thus, the required equation will be:
200 = 3n + 60The equation that determines the no of students should be 200 = 3n + 60
Equation need to be used:Here we assume n be the number of students
And, c be the the cost budget.
So, we know the equation should be formed by applying the following expression
c = mn+b
Here c = 200, m = r = 3, b = 60
Therefore, the equation is 200 = 3n + 60
Hence, The equation that determines the no of students should be 200 = 3n + 60
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HELP ME FIND THE Y-INTERCEPT
Answer:
0
Step-by-step explanation:
Solve the expression. 0.02 × 0.3
A. 0.6
B. 0.06
C. 0.006
please answer these questions
Step-by-step explanation:
you need to multiple first by second
The minute hand of a clock is 4 inches long. How far does the tip of the minute hand move in 35 minutes? If necessary, round the answer to two decimal places.
Answer:
14.66 inches
Step-by-step explanation:
Calculation for How far does the tip of the minute hand move in 35 minutes
The tip of a minute hand will always travels at 360 degrees in an hour ( 60 minutes)
Hence, the tip of the minute hand
distance will be calculated using this formula
Circumference of a circle=2*π*Radius* Clock Tip hand movement/Number of minutes per hour
Let plug in the formula
Circumference of a circle==2*π*4 inches*35 minutes/60 minutes
Circumference of a circle= =2*π*4 inches*0.58333
Circumference of a circle==14.659 inches
Circumference of a circle==14.66 inches (Approximately)
Therefore How far does the tip of the minute hand move in 35 minutes will be 14.58 inches
An author writes 9 pages of her book each week. How many pages does she write in 7 weeks? Use a five fact to solve.
Answer: she writes 63 pages in 7 weeks.
Step-by-step explanation: simple answer you just multiply 9x7=63!
hope this helped.
The number of pages she write in 7 weeks is 63 pages
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.
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 data ,
Number of pages she write in a week = 9 pages
Number of weeks she writes = 7 weeks
So , to calculate the number of pages she write in 7 weeks =
Number of pages she write in a week × Number of weeks she writes
Number of pages she write in 7 weeks = 9 × 7
= 63 pages
Hence , the number of pages she write in 7 weeks is 63 pages
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What is the distance between (-5, 2) and (-9,-4)?
Leave your answer in simplest radical form.
Answer:
[tex]2\sqrt{13}[/tex]
Step-by-step explanation:
Use the distance formula.
[tex]d = \sqrt{(-9+5)^2+(-4-2)^2} = \sqrt{(-4)^2+(-6)^2} = \sqrt{16+36} = \sqrt{52} = 2\sqrt{13}[/tex]
The distance between (-5, 2) and (-9,-4) is 7.211 units.
What is distance?The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.
Given:
The coordinates of the point (-5, 2) and (-9,-4).
Calculate the distance using the formula given below,
[tex]d = \sqrt{(x_2 - x_1)^2+(y_2-y_1)^2}[/tex]
d = [tex]\sqrt{[(-9) - (-5)]^2 +[(-4-2)]^2 }[/tex]
d = [tex]\sqrt{-4^2+(-6)^2}[/tex]
d = [tex]\sqrt{16+ 36}[/tex]
d = 7.211 units
Therefore, the distance between (-5, 2) and (-9,-4) is 7.211 units.
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What is the error in: -6/7 + -1/2 = -12/14 + -7/14 = -19/28 and how do you fix it?
Answer:
DRFHDFG
Step-by-step explanation:
6=6+4
Once again Plssssssss Help Meh
22.00+27.51+21.33+22.95=
please show me how you got that answer
asap plz help 50 points
Answer:
93.79
Step-by-step explanation:
22.00 + 21.33 = 43.33
22.95 + 27.51 = 50.46
43.33 + 50.46 = 93.79
8 मी० लम्बी, 6. मी० ऊची तथा 22.5 सेमी० मोटी दीवार
बनाने हेतु कितनी ईंटें चाहिए, जबकि एक ईंट का माप
25 सेमी. x 11.25 सेमी० x 6 सेमी०
सेमी०
(A) 640
(B) 1380
(C) 6400
(D) 7600
with process
Answer:
I think it might be D too
Step-by-step explanation:
Hope this helped have an amazing day!
The measures of the angels of a triangle are show. In the figure below solve for x
Answer:
54
Step-by-step explanation:
90+36= 126
180-126= 54
Solve the system of equations y=x^2-3x+2
y=-9x-3
Perform the indicated operation.
1 1/7x 2 4/5
I NEED HELP PLEASE Thank youuuu
Answer:
number 8 is b
Step-by-step explanation:
Distance Formula
[tex]d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^2 }[/tex]
(-2,-3) (2,1) Midpoint (2,1)
[tex]d = \sqrt{(2--2)^2 + (1--3)^2} \\\\d = \sqrt{(4)^2 + (4)^2\\} \\\\d = \sqrt{ 32}\\\\d = 5.7\\[/tex]
Then find the slope.
1- - 3 / 2 - -2 = 4/4 = 1
(or use an online graphing calculator)
The Points are (6,5)
Can someone help me please
Answer:
7920
Step-by-step explanation:
all you have to do is just multiply the the feet in a mile by how any miles there are so basically
=> 1.5 * 5280 = 7920
Answer:
7,920 ft
Step-by-step explanation:
1.5 miles
1 mile = 5,280 feet
1.5 × 5,280 = 7,920 ft
or
5,280 ÷ 2 = 2,640
2,640 + 5,280 = 7,920 ft
which of the following best describes rotational symmetry
Answer: B
Step-by-step explanation:
A best describes the quality of symmetry, not specifically rotational symmetry.
C applies to that of A.
D applies to flipping an image across an axis.
B specifically outlines the symmetry of an object when rotated, thus B would be the most precise answer.
For a recent evening at a small, old-fashioned movie theater, 35% of the moviegoers were female and 65% were male. There were two movies playing that evening. One was a romantic comedy, and the other was a World War II film. As might be expected, among the females the romantic comedy was more popular than the war film: 70% of the females attended the romantic comedy. Among the male moviegoers, the romantic comedy also was more popular: 60% of the males attended the romantic comedy. No moviegoer attended both movies. Let F denote the event that a randomly chosen moviegoer (at the small theater that evening) was female and ¯F denote the event that a randomly chosen moviegoer was male. Let R denote the event that a randomly chosen moviegoer attended the romantic comedy and ¯R denote the event that a randomly chosen moviegoer attended the war film. Fill in the probabilities below, and then answer the question that follows. Do not round any of your responses
P(F)=0.35
P(F and R)=
P(F and ¯R)=
P(¯R|F)=
P(R|¯F)=0.60
P(¯F and R)=
P(¯F and ¯R)=
P(¯F)=
What is the probability that a randomly chosen moviegoer attended the romantic comedy?
Answer:
[tex]P(F\ and\ R) = 0.21[/tex]
[tex]P(F\ and\ R^{-}) = 0.14[/tex]
[tex]P(R^{-}|F)= 0.40[/tex]
[tex]P(F^{-} and\ R) = 0.39[/tex]
[tex]P(F^{-}\ and\ R^{-}) =0.26[/tex]
[tex]P(F^{-}) =0.65[/tex]
Step-by-step explanation:
The variables have been defined in the question as:
[tex]F = Female\ Moviegoer[/tex]
[tex]F^{'} = Male\ Moviegoer[/tex]
[tex]R = Romantic\ Comedy[/tex]
[tex]R^{'} = War\ File[/tex]
Also, we have the following given parameters:
[tex]P(F) = 0.35[/tex]
[tex]P(F^{-}) =0.65[/tex]
[tex]P(R) =0.60[/tex]
[tex]P(R^{-}) = 0.40[/tex]
The solution is as follows:
[tex]a.\ P(F\ and\ R)[/tex]
[tex]P(F\ and\ R) = P(F) * P(R)[/tex]
Substitute values for P(F) and P(R)
[tex]P(F\ and\ R) = 0.35 * 0.60[/tex]
[tex]P(F\ and\ R) = 0.21[/tex]
[tex]b.\ P(F\ and\ R^{-})[/tex]
[tex]P(F\ and\ R^{-}) = P(F) * P(R^{-})[/tex]
Substitute values for P(F) and P(R-)
[tex]P(F\ and\ R^{-}) = 0.35 * 0.40[/tex]
[tex]P(F\ and\ R^{-}) = 0.14[/tex]
[tex]c.\ P(R^{-}|F)[/tex]
[tex]P(R^{-}|F)=\frac{P(R^{-}\ and\ F)}{P(F)}[/tex]
[tex]P(R^{-}|F)=\frac{P(R^{-})\ *\ P(F)}{P(F)}[/tex]
Substitute values for P(F) and P(R-)
[tex]P(R^{-}|F)=\frac{0.40 * 0.35}{0.35}[/tex]
[tex]P(R^{-}|F)= 0.40[/tex]
This implies that both events are independent
[tex]d.\ P(F^{-} and\ R)[/tex]
[tex]P(F^{-} and\ R) = P(F^{-}) * P(R)[/tex]
Substitute values for P(F-) and P(R)
[tex]P(F^{-} and\ R) = 0.65 * 0.60[/tex]
[tex]P(F^{-} and\ R) = 0.39[/tex]
[tex]e.\ P(F^{-}\ and\ R^{-})[/tex]
[tex]P(F^{-}\ and\ R^{-}) =P(F^{-}) * P(R^{-})[/tex]
Substitute values for P(F-) and P(R-)
[tex]P(F^{-}\ and\ R^{-}) =0.65 * 0.40[/tex]
[tex]P(F^{-}\ and\ R^{-}) =0.26[/tex]
[tex]f.\ P(F^{-})[/tex]
[tex]P(F^{-}) =0.65[/tex] --- Given
a jeweler makes a necklace using red and blue beads. The jeweler has 24 red beads and 36 blue beads. What is the greatest number of identical bracelets the jeweler if all beads are used?
Answer:
60
Step-by-step explanation:
24+36
20+30=50
4+6=10
50+10=60
Write the following in standard form: eight and twelve thousandths.
Answer:
8.012
Step-by-step explanation:
standard : 8.012
written: eight and twelve thousandths.
Help quickly as possible thank you :)
Answer:
50/100 and .50
Step-by-step explanation:
Answer:
you can write it like 1/2 I don't know the other one sorty
Lana makes eight dollars an hour Plus $12 an hour for every hour overtime. Overtime hours are any hours more than 40 hours for the week create an equation that shows the amount of wages earned, W, for working X hours in a week when there is no overtime
Answer:
W = $8X
Step-by-step explanation:
Lana makes $8 per hour
Extra $12 an hour for every hour overtime
Overtime are hours more than 40 hours per week
In this case, Lana worked for X hours with no overtime
If W is wages earned for working for X hours , the equation will be;
W= X * $8
W= $8X
The question is below the screen
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
The square of the length of the tangent segment is equal to the product of lengths from the external common point to the two circle intersections of the secant.
x^2 = (2)(70+2)
x^2 = 144
x = √144
x = 12
Complete the table shown to the right for the population
growth model for a certain country
2004 Population(millions) 42.4
Projected 2022 Population
(millions)____
Projected Growth Rate, k 0.0145
The projected 2022 population is ____ million
Answer:
2,1
Step-by-step explanation:
Answer: ≈ 55.045
Step-by-step explanation:
The formula is A=Pe^rt
A = (?) projected population
P = 42.4 (current population)
r = 0.0145 (growth rate)
t = 18 (difference between years: 2022 - 2004)
A = 42.4e^0.0145(18)
A = 42.4e^0.261
A = 42.4(1.298227665)
A ≈ 55.045
The prime factorizations of 16 and 24 are shown below.
Prime factorization of 16: 2, 2, 2, 2
Prime factorization of 24: 2, 2, 2, 3
Using the prime factorizations, what is the greatest common factor of 16 and 24?
2
22
2.2.2
2.2.223
Answer:
2 · 2 · 2 = 8Step-by-step explanation:
16 = 2 · 2 · 2 · 2
24 = 2 · 2 · 2 · 3
GCF(16, 24) = 2 · 2 · 2 = 8
Answer:
hm
Step-by-step explanation:
(8.03 LC)
Aaron collects 54 rocks at the beach. He wants to give an equal number of rocks to 6 of
his friends. How many rocks did each of Aaron's friends get?
If r represents the number of rocks each friend will get, which equation could be used to
solve the problem?
Answer:
9, 54=6r
Step-by-step explanation:
54/6=9 rocks
54=6r
Suppose that the odds against a particular team winning the Super Bowl are 11 to 1. What is the probability of that team not winning the Super Bowl?
A) 10/11
B) 11/12
C) 1/11
D) 1/12
Answer:
A) 10/11
Step-by-step explanation:
Because the odds of the team winning are 1/11, the odds of not winning have to be 10/11 in order for it to add to 11/11.
find the length of segment cd, given ab is congruent to cd
_______________________
Answer:
C.
Step-by-step explanation:
Look at the table of values below.
х
у
1
-1
2
-3
3
-5
4
-7
Which equation is represented by the table?
O A. y=1 - 2x
OB. y=-x-1
OC. y = x - 2
OD. y=2x-1
The equation is represented by the table is y= 4x - 1.
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.
We have the table
x y
1 3
-1 -5
2 4
-3 -7
Now, using the above table we can write the equation
(y - 3) = (-5-3)/ (-1-1) (x- 1)
y - 3 = (-8) / (-2) (x -1)
y - 3 = 4 (x - 1)
y - 3 = 4x - 4
y = 4x - 4 +3
y= 4x - 1
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