The more boys than girls are signed up for camp are 22.
We have given that
Summer day camp is about to begin. Today there are 132 boys signed up and 219 total children signed up.
What is subtraction?Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. Subtraction is signified by the minus sign
Therefore for the girl
219-132 is the equation because the rest of the 219 comes from the girls who signed up.
219-132= 77.
To find how many more boys than girls signed up you need to subtract 77 from 132.
132-77= 55
Therefore the more boys than girls are signed up for camp are 22.
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When n = energy efficiency and Pin = energy input and Pout = energy output, how can you mathematically represent the correct relationship between the energy you put in something and the energy you get out?
A. n = P out * P in
B. n = P out / P in
C. n = P out - P in ...?
Answer:
[tex]n=\frac{P_{out}}{P_{in}}[/tex]
Step-by-step explanation:
We know that,
[tex]\text{Energy efficiency}=\frac{\text{Energy out put}}{\text{Energy in put}}[/tex]
If [tex]P_{in}[/tex] represents the energy input,
[tex]P_{out}[/tex] represents the energy output,
And, n represents energy efficiency,
Hence, the required formula would be,
[tex]n=\frac{P_{out}}{P_{in}}[/tex]
i.e. OPTION B is correct.
Solve for x. -3(x-5)-2x=-10
A line tangent to a circle is ________ to a radius of the circle at the point of tangency.
congruent
perpendicular
parallel
similar
Answer:
Perpendicular... I had the same question and I got a 100%! Hope this helps!
A florist shop represents its first month’s sales with the equation y=168x+8, where x represents the number of days that the shop is open and y represents the sales in dollars. The owner of the shop would like to calculate the number of days it took to reach $3,200 in sales. Which would be used to solve the problem?
A-Substitute 3,200 for x.
B-Add 8 and 3,200.
C- Divide 3,192 by 168.
D-Isolate y in the equation.
Answer:
Option C is the answer.
Step-by-step explanation:
A florist sale is for it's first month is represented by the equation y = 168x + 8
Here y represents the sales in dollars and x represents number of days.
Now we have to calculate the number of days it took to reach $3200 in sales.
For this we will substitute $3200 in place of y and find the value of x by solving the equation.
3200 = 168x + 8
168x = 3200 - 8 = 3192
[tex]x=\frac{3192}{168}=19[/tex]
Therefore Option C. is the correct option.
When you pay a bill in full, you are
A dolphins heart beats 688 times in 6 minutes
Solve for u
3(2u+5)=33
Simplify your answer as much as possible.
solve
3x + 2y + 5x - y
Answer: 8x+y
Step-by-step explanation:
you always combine your like terms, a trick is to put a line infront of your equation signs making it look like 3x/+2y/+5x/-y. This makes it easier to see if your terms are positive or negative. Now you have 5x+3x and 2y-y giving you 8x+y because its still positive.
I don't know what to do ?
What is the negative reciprocal of 3/4 or three over 4
Final answer:
The negative reciprocal of 3/4 is -4/3. This is found by inverting the fraction to get 4/3 and then applying the negative sign.
Explanation:
The negative reciprocal of a number refers to the value that, when multiplied by the original number, results in -1. For the fraction 3/4 (three over four), taking the reciprocal involves flipping the numerator and the denominator, which gives us 4/3. Making this reciprocal negative results in -4/3. The concept of reciprocals relates to the broader mathematical principles of multiplication and division, where negative exponents indicate the inverse of the corresponding positive exponent. For example, x to the power of -1 is equal to 1 divided by x to the power of 1, which demonstrates how negative exponents introduce division into the operation.
how do i find the finite approximation to estimate the area using the lower sum of 4 rectangles for f(x)= 4-x^2 between x=-2 and x=2?
...?
What is the smallest positive value for x where y=sin2x reaches its maximum? How do you figure this out? ...?
To find the smallest positive value for x where y = sin^2x reaches its maximum, we can set sin^2x = 1 and solve for x. The smallest positive value of x where y = sin^2x reaches its maximum is pi/2.
Explanation:To find the smallest positive value for x where y = sin^2x reaches its maximum, we need to consider the properties of the sine function. The sine function oscillates between -1 and +1, with the maximum value of sin^2x being 1. Since the maximum value of sin^2x is 1, we can set sin^2x = 1 and solve for x.
Applying the property of sin^2x = 1, we have:
sin^2x = 1
Taking the square root of both sides, sinx = ±1
Since we are looking for the smallest positive value of x, we take sinx = 1
This means that x = π/2 + 2πn, where n is an integer.
Therefore, the smallest positive value for x where y = sin^2x reaches its maximum is π/2.
Which Equation represents this problem?
Pauline can spend $36 on bus fare each week. She needs to ride the bus 5 days a week. How much can she spend each day on bus fare?
A.
36 + b = 5
B.
5 x b = 36
C.
5 ÷ b = 36
D.
36 – b = 5
What are the common factors of 30 and 300?
mrs. fletcher bought 5 coins for $32 each later she sold all the coins for $300 how much more did mrs. fletcher receive for each coin that she paid
Answer:
She received $60 for each coin.Step-by-step explanation:
Mrs. Fletcher bought 5 coins for $32.Then, she sold them for $300.We need to divide to know how much Mrs. Fletcher received for the coins
[tex]\frac{\$300}{5}=\$60[/tex]
She received $60 for each coin.
Now, each coin had a cost of
[tex]\frac{\$32}{5}= \$6.40[/tex]
So, he earned a profit of
[tex]\$60 - \$6.40=\$53.60[/tex]
y=f(x)=1/x. Use algebra to find a simplified rational expression for the slope of the line between (3, f(3)) and (3+h, f(3+h))?? h cannot=0. ...?
Constructing a box. From a rectangular piece of cardboard having dimensions 20 inches x 30 inches, an open box is to be made by cutting out identical squares of area x^2 from each corner and turning up the sides.
(a) Show that the volume of the box is given by the function V(x)=x(20-2x)(30-2x).
(b) Find all positive values of x such that V(x)>0. ...?
height=x length=20-2(what u cut out)=20-2x width=30-2(what u cut out)=30-2x so v(x)=l*w*h=x(20-2x)(30-2x) b) (0,10)
A triangular tent flap measures 3 1/2 ft along the base and has a height of 4 1/2 ft. How much canvas is needed to make the flap

Which points are solutions to the linear inequality y < 0.5x + 2? Check all that apply.
(–3, –2)
(–2, 1)
(–1, –2)
(–1, 2)
(1, –2)
(1, 2)
Answer:
Points (-3,-2), (-1,-2), (1,-2) and (1,2) are solutions to the given inequality.
Step-by-step explanation:
We are given the following inequality in the question:
[tex]y < 0.5x + 2[/tex]
We have to check which points give the solution to the given inequality.
1) (-3,-2)
Putting the values in the given inequality:
[tex]-2 < 0.5\times (-3) + 2\\-2 < 0.5\\\text{which is true}[/tex]
The above point is a solution to the given inequality.
2) (-2,1)
Putting the values in the given inequality:
[tex]1 < 0.5\times (-2) + 2\\1 < 1\\\text{which is not true}[/tex]
The above point is not a solution to the given inequality.
3) (-1,-2)
Putting the values in the given inequality:
[tex]-2 < 0.5\times (-1) + 2\\-2 < 1.5\\\text{which is true}[/tex]
The above point is a solution to the given inequality.
4) (-1,2)
Putting the values in the given inequality:
[tex]2< 0.5\times (-1) + 2\\2 < 1.5\\\text{which is not true}[/tex]
The above point is not a solution to the given inequality.
5) (1,-2)
Putting the values in the given inequality:
[tex]-2 < 0.5\times (1) + 2\\-2 < 2.5\\\text{which is true}[/tex]
The above point is a solution to the given inequality.
6) (1,2)
Putting the values in the given inequality:
[tex]2 < 0.5\times (1) + 2\\2 < 2.5\\\text{which is true}[/tex]
The above point is a solution to the given inequality.
Points (-3,-2), (-1,-2), (1,-2) and (1,2) are solutions to the given inequality.
Bob gets paid an annual salary of $30,000 and earns 5% commission on all sales he makes. If Bob wants to make $6,000 this month, how much in sales does he need to have?
Answer: Correct answer is 70,000 just took the test
8 less than a number n is less than 11
Final answer:
To find the number n in the inequality '8 less than a number n is less than 11', we can set up and solve the inequality n - 8 < 11. The answer is that the number n is less than 19.
Explanation:
The question states that 8 less than a number n is less than 11. To solve this, we can set up the inequality:
n - 8 < 11
To isolate n, we can add 8 to both sides:
n < 11 + 8
n < 19
So, the answer is that the number n is less than 19.
Determine whether the following relation is a function.
{(3,7), (3,8), (3,-2), (3.4),(3,1)}
A) it is a function because the ordered pairs all have the same x-value.
B) it is not a function because there are multiple y-values paired with a single x-value.
C) it is a function because none of the ordered pairs have the same y-value.
D) it is not a function because none of the ordered pairs have the same y-value.
The relation is not a function it is not a function because there are multiple y-values paired with a single x-value. Option B.
Is the relation a function?A relation is a function only if every input is mapped into a single output.
Here we have the relation {(3,7), (3,8), (3,-2), (3.4),(3,1)}
Remember that the first number of each pair is the input, so we can see that all the inputs are the same one
So the input x = 3 is mapped into different outputs, thus, this is not a function.
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The correct option is B) it is not a function because there are multiple y-values paired with a single x-value.
To determine if a relation is a function, one must check if each x-value is associated with exactly one y-value. In other words, for every x, there should be one and only one y. This is known as the vertical line test in the context of graphs.
Let's examine the given set of ordered pairs: {(3,7), (3,8), (3,-2), (3,4), (3,1)}.
We can see that the x-value of 3 is repeated with different y-values: 7, 8, -2, 4, and 1.
This means that the x-value of 3 is associated with multiple y-values, which violates the definition of a function.
Therefore, the relation is not a function because it fails to satisfy the condition that each x-value must correspond to exactly one y-value.
The presence of multiple y-values for a single x-value is the key indicator that the relation is not a function.
Your math teacher manages a campground during summer vacation. He loves math so much that he has mapped the campground on a coordinate grid. The campsites have the following coordinate: Brighton Bluff at B(2,2), ponaganset peak at P(4,10) and harmony hill at h(12,2) he wants to build showers that are equidistant from all three campsites. Find the coordinates of the point where the shower should be placed.
Answer:
(5,5)
Step-by-step explanation:
Step 1) Find the perpendicular bisector of BP Step 2) Find the perpendicular bisector of BH Step 3) The intersection point of the perpendicular bisector is where the showers would be built. This is the circumcenter of the circumscribed circle. After doing all of this, you should get that answer.. (5,5)
Find an equation of the tangent line to the curve
y = 8x sin x at the point (π/2, 4π).
y'=8(sinx)+8xcosx
8(sinπ)+8π(cosπ)
0+(-8π)
If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis,and rotated 180°, where would point A' lie?
[Hint: Place your coordinates in the blank with no parantheses and a space after the comma in the form: x, y.] (5 points)
Point A is (-4,1) .Point A is reflected along y axis so y will remain same and x coordinate will have opposite sign .The reflected point A' ---(4,1) .The point is now reflected along x axis so its x ordinate will remain same and y will be at an equal distance from x axis The new reflected point is A" (4,-1) .The point is now rotated 180 degrees the x and y coordinate changes sign so the rotated final point is A"'( -4,1).
The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill. Which is the value of u?
Answer:
2.5
Step-by-step explanation:
Given: The equation [tex]9(u - 2) + 1.5u = 8.25[/tex]models the total miles Michael traveled one afternoon while sledding.
To Find: Which is the value of u?
Solution:
[tex]9(u - 2) + 1.5u = 8.25[/tex]
[tex]9u - 18+ 1.5u = 8.25[/tex]
[tex]10.5u = 8.25+18[/tex]
[tex]10.5u =26.25[/tex]
[tex]u =\frac{26.25}{10.5}[/tex]
[tex]u =2.5[/tex]
Hence the value of u is 2.5
What is the average rate of change of the function below on the interval from x = 0 to x = 2?
f(x)=250(0.5)x
A. -93.75
B. 62.5
C. 0
D. -0.25
Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. The third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram?
A)2 cm and 2 cm
B)4 cm and 7 cm
C)7 cm and 9 cm
D)13 cm and 19 cm
HELP ME ASAP!! Some red white and blue candies were placed in a bowl. Some contain nuts, and some do not. Suppose one of the candies were chosen randomly from all the candies in the bowl. According to the table below, if the candy is blue, what is the probability that is does not contain any nuts?
Red with nuts=10. Red without nuts=10. White with nuts=20. White without nuts=10. Blue with nuts=20. Blue without nuts=30.
A. 20%
B. 40%
C. 60%
D. 10%
Answer:
Option C: 60%
Step-by-step explanation:
The number of blue candies with nuts = 20
The number of blue candies without nuts = 30
The total number of blue candies = 20 + 30 = 50
As the chosen candy is blue, the probability that is does not contain any nuts will be = (The number of blue candies without nuts)/(Total number of blue candies)
So, the probability = 30/50 = 0.6 *100% = 60%
Answer: 20%
Step-by-step explanation:
A once thriving company in Teaneck had its monthly profits, in thousands of dollars, modeled by the equation?
f(t) = t^2 + 9/ 1t^2 + 2
where t is in months after June 1st, 2002.
Estimate the company's profits on June 1st, 2002.
Estimate the company's profits many years into the future
Answer:
1) 4.5% 2)1%
Step-by-step explanation:
Given equation The monthly profits: [tex]f(t) = \frac{t^2 + 9}{t^2 + 2}[/tex]
where t is in months after june 1st,2002
To find : The company's profits on June 1st, 2002
which means t=0
⇒ [tex]f(0) = \frac{0^2 + 9}{0^2 + 2}[/tex]
⇒ [tex]f(0) = \frac{9}{2}[/tex]
⇒ [tex]f(0) = 4.5[/tex]
The company's profits on June 1st, 2002 = 4.5%
To find :The company's profits many years into the future
we take limit tends to infinity
[tex]\lim_{n \to \infty}( \frac{t^2 + 9}{t^2 + 2})[/tex]
[tex]\lim_{n \to \infty}( \frac{2t}{2t})=1[/tex]
The company's profits many years into the future = 1%