1 point
5. In a certain store, small puppets cost $1 cach and large puppets cost $2 each. If the store sold 25 puppets
for a total of $30 dollars, how many small puppets wero sold?
(A) 25
(B) 20
(C) 15
(D) 10
(E)S
Answers
Answer:
(B) 20
Step-by-step explanation:
Let small puppet be represented by-----------------s
Let large puppet be represented by-----------------l
Total number of puppets expression will be: s+l =25---------a
The expression for total costs will be : 1$ s + $2l=$30-------b
Equation a can be written as; s= 25-l ------------c
Use equation c in equation b as
$1( 25-l )+$ 2l = $30
25-l + 2l = 30
25+l =30
l= 30-25 =5
l, large puppets = 5
s, small puppets = 25-5 = 20
Answer choice A is incorrect because 25 is the total number of all puppets
Answer choice C and D are incorrect because the numbers are less that that of small puppets.
Related Questions
The table below shows the average annual salary of the workers at the Pearson
Corporation over the course of time since 1980. Let x represent the number of years
since 1980 with x = 0
representing the year 1980. Let y represent the average annual
salary of the workers. Complete the slope-intercept form of the equation for the line of
best fit below with the appropriate value for the slope.
Answers
Answer:
\(y = 1164x + 14242\)
Step-by-step explanation:
From the question, we understand that
x = 0, when year = 1980
First, we need to determine the slope of the table.
Pick any two corresponding values of year and average salary
year = 1982, average salary = 16570
year = 2002, average salary = 39850
Convert years to x values
year = 1982 implies that x = 2 i.e. 1982 - 1980
year = 2002 implies that x = 22 i.e. 2002 - 198-
So, we have:
\((x_1,y_1) = (2,16570)\)
\((x_2,y_2) = (22,39850)\)
Determine the slope.
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{39850 -16570}{22 - 2}\)
\(m = \frac{23280}{20}\)
\(m = 1164\)
The equation is calculated using:
\(y - y_1 = m(x - x_1)\)
Where
\(m = 1164\)
\((x_1,y_1) = (2,16570)\)
So,
\(y - y_1 = m(x - x_1)\)
\(y - 16570 = 1164(x - 2)\)
\(y - 16570 = 1164x - 1164*2\)
\(y - 16570 = 1164x - 2328\)
Add 16570 to both sides
\(y - 16570 + 16570 = 1164x - 2328 + 16570\)
\(y = 1164x - 2328 + 16570\)
\(y = 1164x + 14242\)
Answer:
y = 1164x + 14,242
Step-by-step explanation:
Mr. smith thinks his new smoothie recipe is the best ever. He believes it gives people more energy and also helps them lose weight. In order to prove this, he sets up an experiment. He randomly assigns 1/3 of his subjects to drink 1 smoothie per day for 10 weeks. The next 1/3 are andomly assigned to drink one smoothie per week for 10 weeks. The rest are assigned to 1 large cup of water per day for 10 weeks.
What is the control group?
a) 1 smoothie per day
b) 1 smoothie per week
c) 1 large cup of water per day
d) no control group
Answers
Answer:
I'd say 1 smoothie per day
Step-by-step explanation:
A cone-shaped container has a height of 240 in. And a radius of 150 in. The cone is filled with a liquid chemical. The chemical evaporates at a rate of 12,000 in³ per week. How many weeks will it take for all of the chemical to evaporate? use 3. 14 to approximate pi. Enter your answer in the box.
Answers
Therefore, it will take approximately 1415.7 weeks for all of the chemical to evaporate.
To calculate the volume of a cone, we can use the formula:
\(Volume = (1/3) * π * r^2 * h\)
Given that the height (h) of the cone is 240 inches and the radius (r) is 150 inches, we can substitute these values into the formula:
\(Volume = (1/3) * 3.14 * 150^2 * 240\)
Simplifying the equation:
Volume = 3.14 * 22500 * 240
Volume ≈ 16988400 cubic inches
Now, we know that the liquid chemical evaporates at a rate of 12,000 cubic inches per week. To find out how many weeks it will take for all the chemical to evaporate, we can divide the total volume of the chemical by the evaporation rate:
Number of weeks = Volume / Evaporation rate
Number of weeks = 16988400 / 12000
Number of weeks ≈ 1415.7 weeks
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point)
What is the Greatest Common Factor between 7x and 14?
The GCF is
Blank 1:
Answers
Answer:
7
Step-by-step explanation:
Answer:
Seven
Step-by-step explanation:
Find the GCF of 14 and -7x. Which is 7.
Which equation matches the function described by the table?
A)y = 5x
B)y=x+2
C)y = 5x + 2
D)y 6x-1
Answers
This is the answer because look at the table. I am gonna plug in the numbers.
2 = 5(0) + 2.
7 = 5(1) + 2.
12 = 5(2) + 2.
As you can see all those statements are true.
I don’t know how to explain it without talking and pointing, but basically all you have to do is plug the numbers into the equations and see which one is true.
An airplane travels at a bearing of 100° (clockwise from North) at 180 km/hr. A wind redirects the plane, blowing at 30 km/hr at a bearing of 42°. Find the true speed of the plane and its new direction by modeling the speeds and directions as vectors.
Answers
The first step is converting both the velocity and the wind in vector form, as follows:
Velocity: \(\vec{v_1} = 180 \text{ km/hr} \angle 100^\circ\)Wind: \(\vec{v_2} = 30 \text{ km/hr} \angle 42^\circ\)Then the true speed of the plane is given by the addition of these two vectors, as follows:
\(\vec{v_1} + \vec{v_2} = \sqrt{|v_1|^2 + |v_2|^2 + 2 \cdot |v_1| \cdot |v_2| \cdot \cos(\theta)}\)
The magnitudes of each vector are given as follows:
\(|v_1| = 180\).\(|v_2| = 30\).The angle between these two vectors is given as follows:
\(\theta = 100^\circ - 42^\circ = 58^\circ\)
Thus the resulting speed is obtained as follows:
\(\vec{v_1} + \vec{v_2} = \sqrt{180^2 + 30^2 + 2 \cdot 180 \cdot 30 \cdot \cos(58^\circ)} = 197.54\)
The resulting angle of the plane is then obtained as follows:
\(\angle = \arctan\left(\frac{|v_1| \cdot \sin(\theta) + |v_2| \cdot \sin(\theta_2)}{|v_1| \cdot \cos(\theta) + |v_2| \cdot \cos(\theta_2)}\right)\)
Hence:
\(\angle = \arctan\left(\frac{180 \cdot \sin(58^\circ) + 30 \cdot \sin(42^\circ)}{180 \cdot \cos(58^\circ) + 30 \cdot \cos(42^\circ)}\right)\)
\(\angle = 59.87^\circ\)
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Answer:
197.5 km/h
Step-by-step explanation:
You want the resultant speed with an airplane at a speed of 180 km/h at 100° is acted upon by a wind at a speed of 30 km/h at 42°. Angles are bearings CW from north.
SolutionA vector calculator makes short work of this. The resultant speed is ...
197.5 km/h at 92.6°
Law of cosines
The law of cosines can be used to find the side opposite the known angle in the triangle with sides 30 km/h and 180 km/h. The known angle is ...
180° -(100° -42°) = 122°
So, the resultant speed is ...
c = √(a²+b²-2ab·cos(C))
= √(30² +180² -2(30)(180)·cos(122°)) ≈ √39023.13
c ≈ 197.543
The true speed of the plane is about 197.5 km/h.
__
Additional comment
You will notice that we used bearing angles directly in the calculator computation. As long as angles are consistently measured, it doesn't matter how they're measured.
When plotting the vectors on the Cartesian plane, we need to subtract the bearing angles from 90° to make them correspond to the vectors plotted on a map with north at the top.
Identify the slope and y-intercept for the following equation.
-2y-10+2x=0
Slope:
Y-intercept:
Answers
Y-intercept: -5
Question 4 of 10
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
□A. √2:√2
B. 15
□ C. √√√√5
□ D. 12
DE √3:3
OF. √2:√5
←PREVIOUS
SUBMIT
Answers
The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).
In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.
A. √2:√2
The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.
B. 15
This is a specific value and not a ratio. Therefore, option B is not applicable.
C. √√√√5
The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.
D. 12√3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.
E. √3:3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.
F. √2:√5
This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.
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Find the value of 8 to the 3rd power divided by 8 squared multiplied by 4 squared.
Answers
Answer:
0.5
Step-by-step explanation:
8^3 = 512
(8^2)*(4^2) = 1024
512/1024 = 0.5
If FDATA = 5, the result is statistically significant a. Always b. Sometimes c. Never
Answers
Statistical significance is a measure of the likelihood that the observed results in a study are not due to random chance. The correct answer is (c) Never.
Statistical significance is a measure of the likelihood that the observed results in a study are not due to random chance. In most statistical tests, a p-value is used to determine statistical significance. A p-value is the probability of obtaining results as extreme as the observed results, assuming that the null hypothesis is true (i.e., there is no true effect). A common threshold for statistical significance is a p-value of 0.05 or lower, which indicates that there is a 5% or lower chance that the results are due to random chance.
In this case, if FDATA = 5 and there are no other details provided about the statistical test or hypothesis being tested, it is not possible to determine statistical significance. The p-value would need to be calculated based on the specific statistical test being used and the sample size, among other factors. A p-value of 5 or any other single value does not provide enough information to determine statistical significance.
Therefore, the correct answer is (c) Never, as statistical significance cannot be determined based solely on the value of FDATA = 5.
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The resulting vector for b − a is < , >, and the resulting vector for 2a − b is < , >.
Answers
The vectors are:
The resulting vector b - a is <-5, 7>.The resulting vector 2a - b is <8, -9>.What is a vector?In mathematics, a vector is a quantity that has both magnitude and direction but no position. Examples include velocity and acceleration.To find the vectors:
Use the graph to solve the problem:
The vector a is <3, -2>The vector b is <-2, 5>We can add and subtract the vectors:
a = <3 , -2>b = <-2 , 5>-To find b - a subtract a from b:
b - a = <-2 , 5> - <3 , -2> = <(-2 - 3) , (5 - -2)> = <(-5) , (7)>The resulting vector b - a is <-5, 7>2a means multiply vector a by 2:
a = <3 , -2>2a = <(2 × 3) , (2 × -2) = <6 , -4>Now let's find the resulting vector 2a - b.
- Subtract b from 2a:
2a = <6 , -4>b = <-2 , 5>2a - b = <6 , -4> - <-2 , 5> = <(6 - -2) , (-4 - 5> = <(8) , (-9)> = <8 , -9>The resulting vector 2a - b is <8, -9>
Therefore, the vectors are:
The resulting vector b - a is <-5, 7>.The resulting vector 2a - b is <8, -9>.Know more about vectors here:
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The complete question is given below:
The graph shows vectors a and b the resulting vector for b - a is blank, blank >, and the resulting vector for 2a -b is < blank, blank >.
Consider a consumer with utility function U(x1,x2)=min{x1,ax2} (with a>0 ). Solve for the Marshallian demands x1(p1,p2,m) and x1(p1,p2,m). That is, solve the problem:
max(x1,x2)∈R+2{min{x1;ax2}:p1x1+p2x2≤m}
Answers
To solve for the Marshallian demands x1(p1, p2, m) and x2(p1, p2, m) in the consumer problem with utility function U(x1, x2) = min{x1, ax2}, we need to maximize the utility subject to the budget constraint p1x1 + p2x2 ≤ m, where p1 and p2 are the prices of goods 1 and 2 respectively, and m is the consumer's income.
To find the Marshallian demands, we need to solve the consumer's optimization problem. The objective is to maximize the utility function U(x1, x2) = min{x1, ax2} subject to the budget constraint p1x1 + p2x2 ≤ m.
The first step is to set up the Lagrangian function:
L(x1, x2, λ) = min{x1, ax2} + λ(m - p1x1 - p2x2)
Next, we take the first-order conditions by differentiating the Lagrangian with respect to x1, x2, and λ, and setting the derivatives equal to zero. This will give us the equations for the optimal values of x1, x2, and the Lagrange multiplier λ.
By solving these equations, we can find the specific values for x1(p1, p2, m) and x2(p1, p2, m) that maximize the utility function while satisfying the budget constraint. The resulting demands will depend on the prices (p1, p2) and the consumer's income (m).
Note that the specific calculations involved in solving the optimization problem can be quite involved and may require further mathematical manipulation.
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the mean monthly electric bill for 71 residents of the local apartment complex is $62. what is the best point estimate for the mean monthly electric bill for all residents of the local apartment complex?
Answers
If the mean monthly electric bill for 71 residents of the local apartment is $62 , then the best point estimate is $62 .
In the question ,
it is given that ,
the number of residents in the local apartment complex is = 71
the mean electric bill for the 71 residents = $62 ;
we know that the sample mean is itself called as the best point estimate ;
So , best point estimate for mean monthly electric bill for all residents of local apartment complex will be = mean monthly bill for 71 residents of local apartment complex which is given as $62 .
Therefore , the best point estimate is $62 .
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If electricity cost $0.031076 per kilowatt and 3108 kilowatts were used what is the cost
Answers
If electricity costs $0.031076 per kilowatt and 3108 kilowatts were used, what is the cost?
To find the cost, we can multiply the cost per kilowatt by the number of kilowatts used.
Multiplication of decimals can be used here.
Cost = Cost per kilowatt * Number of kilowatts used
In this case, the cost per kilowatt is $0.031076 and the number of kilowatts used is 3108.
Cost = $0.031076 * 3108
By multiplying the decimal by the whole number we get: Now we can calculate the cost:
Cost = $96.490608
Therefore, the cost of using 3108 kilowatts of electricity at a rate of $0.031076 per kilowatt is $96.490608.
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Please please help thank you so much!!!!!!!!!!!!!! It is due by 12:00 pm!
Answers
Answer:
you will need to graph this to find the answer. I suggest plugging the problem into something to graph it. check here
Can u guys help me with this question!! :)
Answers
Answer:
A
Step-by-step explanation:
5/8=0.625
0.42=0.42^2
y= (x + 4)2 + 8
how do you simplify this equation
Answers
Answer:
Step-by-step explanation:
you could distribute and combine like terms
y=(x+4)2+8
y=2x+8+8
y=2x+16
Choose the group of one-inch cubes that forms a rectangular prism that has the given dimensions. Then find the surface area of the prism. 3×4×1
Answers
The surface area of the rectangular prism is 38 square units
The dimensions of the rectangular prism is given as:
\(Length = 3\)
\(Width = 4\)
\(Height = 1\)
The surface area of the rectangular is then calculated using the following surface area formula
\(Area = 2 \times (Length \times Width + Length \times Height+ Width \times Height)\)
Substitute the known values of Length, Width and Height
\(Area = 2 \times (3 \times 4 + 3\times 1+ 4\times 1)\)
Evaluate all products
\(Area = 2 \times (12 + 3+ 4)\)
Evaluate all sums
\(Area = 2 \times (19)\)
Remove bracket
\(Area = 2 \times 19\)
\(Area = 38\)
Hence, the surface area of the rectangular prism is 38 square units
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The ratio of red counters to green counters in a bag is 3:17. What percentage of the counters are red
Answers
Answer:
0.15%
Step-by-step explanation:
red is 3
the total is 20
percentage of red counters = 3 ÷ 20 = 0.15%
A package of 8 notebooks costs $10.80. This equation can be used to determine the cost, n, in dollars, of each notebook in the package.
8n = 10.80
What is the cost, in dollars, of each notebook in the package?
Enter your answer in the box.
Answers
Answer:
$1.35
Step-by-step explanation:
8n = 10.80
Divide both sides by 8 to get n alone.
n = 10.80/8 = $1.35
Please help, I’ll give Brainly
Answers
Answer:
c
Step-by-step explanation:
Is 100 a reasonable estimate for 915.25 +88.22? Explain.
Answers
Answer:
When estimating always round to the nearest whole number, 10th or 100th.
Im not sure if which estimation you are requesting in this question but i'l give you three answers:
The nearest whole number which would be 915 and 88 would be 1,003
The nearest 10th which is 920 and 90 which would be 1,010
The nearest 100th which would be 900 and 90 which would be 990
8. How many 1/3 pound hamburger patties can be made out of 9 pounds
of ground beef?
Your answer
Answers
Answer:
27 or im dumb
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
each pound can make 3 burgers, so 3 x 9 is 27
Please help me with this question I don't understand it. Please it must be easy for yall genius's
Answers
Answer:
Range is 12 and mean is -6
Step-by-step explanation:
To find the mean, add together all the numbers and divide by 7.
I RLLY DONT UNDERSTAND PLEASE HELP srry for caps
Answers
Answer:
3
Step-by-step explanation:
6x + 5 = 3x + 14
6x = 14 - 5 + 3x
3x = 9
x = 3
Answer: the answer is x=3
Step-by-step explanation:
1st: we see like terms such as 6x and 3x and 5 and 14
2nd: we have to shift the numbers to one side so let’s move the 3x with the 6x we see that 3x being added so we do inverse that means 6x-3x= 3x
3rd: now our equation is: 3x+5=14 (we see that 5 is added so we do the inverse 14-5=9
4th: 3x=9 all there is to do is divide by 3 on both sides to get x by itself which gives us 3
**just in case you don’t know what inverse means it’s the opposite so opposite of adding is subtracting**
(hope it helps with your confusion)
I need help with this ASAP plz and explain so I can understand!!!
Answers
Answer:
What?
Step-by-step explanation:
Is there an attachment?
Answer:
x + y + (y - 18) = 180
x = 86
y = 56
Step-by-step explanation:
The sum of the measures of the angles of a triangle equals 180.
x + y + (y - 18) = 180
x + 2y - 18 = 180
x + 2y = 198
x + 2y = 198
3x - 5y = -22
-3x - 6y = -594
(+) 3x - 5y = -22
----------------------------
-11y = -616
y = 56
x + 2y = 198
x + 2(56) = 198
x + 112 = 198
x = 86
Qd=95−4P
Qs=5+P
a. What is Qd if P=5 ? b. What is P if Qs=20 ? β=9 c. If Qd=Qs, solve for P.
Answers
P = 90 is the solution for the given equation.
Given: Qd=95−4
PQs=5+P
To find Qd if P=5:
Put P = 5 in the equation
Qd=95−4P
Qd = 95 - 4 x 5
Qd = 75
So, Qd = 75.
To find P if Qs = 20:
Put Qs = 20 in the equation
Qs = 5 + PP
= Qs - 5P
= 20 - 5P
= 15
So, P = 15.
To solve Qd=Qs, substitute Qd and Qs with their respective values.
Qd = Qs
95 - 4P = 5 + P
Subtract P from both sides.
95 - 4P - P = 5
Add 4P to both sides.
95 - P = 5
Subtract 95 from both sides.
- P = - 90
Divide both sides by - 1.
P = 90
Thus, P = 90 is the solution for the given equation.
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what is the image of the point (0,4) after a rotation of 180° counterclockwise about the origin?
Answers
The image of the point (0,4) after a 180° counterclockwise rotation about the origin is (0, -4).
To find the image of a point (0,4) after a 180° counterclockwise rotation about the origin, we can follow these steps:
Recall that a 180° counterclockwise rotation about the origin simply changes the sign of both the x and y coordinates while keeping their absolute values the same.Applying this to the point (0,4), the x-coordinate remains 0, and the y-coordinate changes sign to -4.Therefore, the image of the point (0,4) after a 180° counterclockwise rotation about the origin is (0, -4).
By performing a 180° counterclockwise rotation, we essentially mirror the point across the origin, with the y-coordinate changing sign while the x-coordinate remains unchanged.
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a student is taking a multiple-choice exam that has 7 test questions and each has 4 options. assume that the student has no knowledge of the subject material but guesses the correct answer with a probability of 0.75. what is the probability that she will answer at most 3 questions correctly?
Answers
She has a 0.0755 chance of accurately answering three questions at most.
Given data;
A student is completing a multiple-choice exam that consists of 7 questions and 4 possible answers. Suppose the student guesses the right response with a probability of 0.75 while not knowing the topic.
The terms are expanded using the binomial theorem.
7 questions total.
The probability of doing it right is 0.75.
The chance of getting it wrong is 1 - 0.75 = 0.25
The likelihood that she will accurately respond to no more than three questions is indicated as;
\(P = ^nCr p^rq^n^-^r\)
\(P = ^nCo (0.75)^r(0.25)^n^-^r\)
Here, r ranges from (0, 1, 2, 3)
\(P = ^7Co (0.75)^o(0.25)^7+^7C1 (0.75)^1(0.25)^6+^7C2 (0.75)^2(0.25)^5+^7C3(0.75)^3(0.25)^4\)
\(P = (0.25)^7+7(0.75)^1(0.25)^6+21(0.75)^2(0.25)^5+35(0.75)^3(0.25)^4\)
P = 0.0755
Therefore, the probability that she will answer at most 3 questions correctly is 0.0755.
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Identify the terms and coefficients of each expression.
7 + 8p - 2^r g^2- 14h + 10
terms: terms:
coefficients : coefficient: