Based on the provide system of linear equations, the solution is that there is no solution.
A system of linear equations refers to a collection of one or more linear equations involving the same variables. The solution to a system of linear equations refer to the point at which the lines representing the linear equations intersect. If the lines are parallel, they will never intersect hence, the system has no solution.
According to the provided information, the percentage of smokers in Russia is given by the equation 36x+100y=346 and the percentage of smokers in Poland is given by the equation 18x+50y=176. In order to determine the solution of the system of linear equations, multiply the Poland equation by 2 and subtract it from the Russian equation. Hence,
2*(18x+50y=176)
36x + 100y = 352
-(36x+100y=346)
0 = 6
It means the original equations are parallel. As both the variables are eliminated, the system has no solution.
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What is the image of (-4,4) after a dilation by a scale factor of 1/4 centered at the origin?
Answer:
(-1,1)
Step-by-step explanation:
1/4 (-4) = -1
1/4(4) = 1
(-1,1)
Pete was building a doghouse for his dog, Chip. He made the door 36 inches tall. The height of the door was twice the height of the window in the doghouse.
Write an equation to determine the height of the window.
36 = 2h
36 = 2 + h
36 = h − 2
36 equals h over 2
Answer:
36 = 2h
Step-by-step explanation:
Here h represents the heigh
We know that the height of the door was twice the height of the window so that the equation will be
36 = 2h
This equation has one solution. 5(x – 1) 3x = 7(x 1) what is the solution?
Answer:
send the complete question . there are some missing signs .
The following equation i true for all value of x. What number complete the equation?
Show your work. 5y 2(3y − 1) = ⬜y − (y 2)
we can add 2 to both sides to get 3y = -y2 + 2, which simplifies to 3y = -(y2 - 2).
5y + 2(3y − 1) = 8y - (y2)
5y + 2(3y - 1) can be rewritten as 5y + 6y - 2.
Then, we can combine like terms on the left side to get
11y - 2.
On the right side, we can combine like terms to get 8y - y2.
Now, we have 11y - 2 = 8y - y2. We can subtract 8y from both sides to get 3y - 2 = -y2.
Finally, we can add 2 to both sides to get 3y = -y2 + 2, which simplifies to 3y = -(y2 - 2).
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How do I find the missing side of a triangle ?
Answer: 1. Given two sides
If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root: a = √(c² - b²)
If leg b is unknown, then: b = √(c² - a²)
For hypotenuse c missing, the formula is: c = √(a² + b²)
the figure(figure 1) shows the acceleration graph for a particle that starts from rest at t = 0s.
a) The velocity of particle at t=2s is 5m/s
b) The velocity of particle at t=4s is 20m/s
To obtain the function of velocity from the graph we need to find the equation of accleration- time graph
so the equation of accleration is :
a= [tex]\frac{10-0}{4-0}[/tex]t
a= 5/2t
and we know that :
a= [tex]\frac{dv}{dt}[/tex]
=> dv= adt
=> dv= [tex]\frac{5}{2}[/tex] t dt
integrating both side we get:
v= [tex]\frac{5}{4}[/tex][tex]t^2[/tex] +c
where c is constant
it is given that at t=0s it starts from rest so
v=0 at t=0
=> 0 = 0+c
=>c=0
so v=[tex]\frac{5}{4}t^2[/tex] ---- (i)
a) as we have got the equation of velocity with respect to time
we have to find velocity at t=2s
putting t=2s we get
v = 5/4 *4
so velocity of particle at t=2s is 5m/s
b) as we have got the equation of velocity with respect to time
we have to find velocity at t=4s
putting t=4s we get
v = 5/4 *16
so velocity of particle at t=2s is 20m/s
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equation of simple straight line
Complete question:
the figure shows the acceleration graph for a particle given that particle starts from rest at t=0.
determine the velocity of partice at
a)2s
b)4s
The area of the square in the figure below is 16 square inches. Solve for "s", the length of one side. Explain
the solution.
▪️▪️▪️▪️
▪️▪️▪️▪️
▪️▪️▪️▪️
▪️▪️▪️▪️
Area = 16 in²
A=S²
A=16
s²=16
Answer:
4
Step-by-step explanation:
[tex]\sqrt{16}[/tex] = 4
The side lengths of the square is 4.
Area = Length times width
Area = 4 x 4
Are = 16
in r, run a one-sample t-test to determine if the sample of toys below are likely to have come from a population with mean price greater than $10. what is the p-value of the test?
The sample of toys below are likely to have come from a population with mean price greater than $10 then the p-value of the test is 0.139.
R code
⇒ x = c(10,12,15,8,9,10,13,7,20,10)
⇒ t.test(x,mu = 10, alternative = "greater")
on sample t test
data: x
t = 1.1543, df = 9, p value = 0.1391
alternative hypothesis: true mean is greater than 10
95 percent confidence interval:
9.176629 Inf
sample estimates:
mean of x
11.4
Hence we get the required answer.
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The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
SX
#
OA. One solution
OB. Infinitely many solutions
OC. No solutions
OD. Two solutions
The option that gives the number of solutions to the system of equations is given as follows:
A. One solution.
How to obtain the number of solutions in a system of equations?For a system of linear equations, the system is composed by multiple lines, and the number of solutions is defined according to the features of the lines.
The possible numbers of solutions are given as follows:
Infinite solutions: the lines are equal, hence they intersect at all points.No solutions: the lines are parallel, meaning that they intersect only at infinity.One solution: the lines intersect at one point.From the graph given in this problem, we have that the two lines intersect at one point, hence the system of equations has one solution and the correct option is given by option A.
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the margin of error of a confidence interval is the error from biased sampling methods. t or f
False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.
What are statistics and their various forms?Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.
What are the two primary statistical methods?Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.
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Find the mass and center of mass of the lamina that occupies the region D and has the given density function rho. D is bounded by y = 1 − x2 and y = 0; rho(x, y) = 7ky
The mass and center of mass of the lamina is [tex]\frac{8}{15} k, (0, \frac{4}{7} )[/tex]
The mass of a homogenous lamina is given by [tex]$m=\iint_R \delta(x, y) d A$[/tex]
We can rewrite the equation using the limits of integration as [tex]$$m=\int_a^b \int_c^d \delta(x, y) d y d x$,[/tex] where a ≤ x ≤ b and c ≤ y ≤ d.
The objective is to find the mass and center of mass of the lamina that occupies the region D.
From the given equations, we get the limits of integration as -1 ≤ x ≤ 1 and 0 ≤ x ≤ 1-[tex]x^{2}[/tex]. Substitute the known values in the equation.
[tex]$$\begin{aligned}& m=\int_{-1}^1 \int_0^{1-x^2} k y d y d x \\& =\int_{-1}^1 \frac{1}{2} k\left(1-x^2\right)^2 d x \\& =\frac{1}{2} k \int_{-1}^1\left(1+x^4-2 x^2\right) d x \\& =\frac{k}{2}\left[x+\frac{x^5}{5}-2 \frac{x^3}{3}\right]_{-1}^1 \\\\\end{aligned}$$[/tex]
[tex]& =\frac{k}{2}\left[1+\frac{1}{5}-\frac{2}{3}+1+\frac{1}{5}-\frac{2}{3}\right] \\\\& =\frac{k}{2}\left[\frac{16}{15}\right] \\\\& =\frac{8}{15} k[/tex]
Hence, the mass of the lamina as [tex]\frac{8}{15} k[/tex].
The center of mass of the lamina is given by[tex]$(\bar{x}, \bar{y})$[/tex], where [tex]$$\begin{gathered}\bar{x}=\frac{1}{m} \iint_R x \delta(x, y) d A \text { and } \\\bar{y}=\frac{1}{m} \iint_R y \delta(x, y) d A .\end{gathered}$$[/tex]
First, find [tex]$\bar{x}$[/tex] as follows:
[tex]$$\begin{aligned}\bar{x} & =\frac{1}{\frac{8}{15} \mathrm{k}} \int_{-1}^1 \int_0^{1-x^2} k x y d y d x \\& =\frac{1}{\frac{8}{15} \mathrm{k}} \int_{-1}^1 \frac{1}{2} k x\left(1-x^2\right)^2 d x \\= & \frac{15}{8 k} \cdot \frac{k}{2} \int_{-1}^1 x\left(1+x^4-2 x^2\right) d x \\= & \frac{15}{16}\left[\frac{x^2}{2}+\frac{x^6}{6}-2 \frac{x^4}{4}\right]_{-1}^1 \\= & 0\end{aligned}$$[/tex]
Thus, the [tex]$\bar{x}$[/tex]-coordinate of the center of gravity as 0 .
Now, evaluate [tex]$\bar{y}$[/tex].
[tex]& \bar{y}=\frac{1}{\frac{8}{15}} \int_{-1}^1 \int_0^{1-x^2} k y^2 d y d x \\\\& =\frac{1}{\frac{8}{15}} \int_{-1}^1 \frac{1}{3} k\left(1-x^2\right)^3 d x \\\\& =\frac{15}{8 k} \cdot \frac{k}{3} \int_{-1}^1\left(1-x^6-3 x^2+3 x^4\right) d x \\\\& =\frac{15}{24}\left[x-\frac{x^7}{7}-3 \frac{x^3}{3}+3 \frac{x^5}{5}\right]_{-1}^1 \\\\& =\frac{15}{24} \times \frac{32}{35} \\\\& =\frac{4}{7}[/tex]
Hence, the center of gravity of the lamina is ([tex]0, \frac{4}{7}[/tex]).
Therefore, the mass and center of mass of the lamina that occupies the region D is [tex]\frac{8}{15} k[/tex], [tex](0, \frac{4}{7} )[/tex]
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A(-5,1) B(-2,4) C(1,-1)
Translate the triangle 4 units left and 6 units up. PLSSS HELP ME THANK YOU
The triangle after translation will have coordinates A'(-9, 7), B'(-6, 10) and C'(-3, 5)
What are transformations?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Given that, a triangle A(-5,1) B(-2,4) C(1,-1) is being translated 4 units left and 6 units up
To translate the point P(x, y), a units left and b units up, use P'(x-a, y+b).
Therefore, coordinates for A'B'C' are =
A(-5, 1) = A'(-5-4, 1+6) = (-9, 7)
B(-2, 4) = B'(-2-4, 4+6) = (-6, 10)
C(1, -1) = C'(1-4, -1+6) = (-3, 5)
Hence, The triangle after translation will have coordinates A'(-9, 7), B'(-6, 10) and C'(-3, 5)
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Wyatt' Ga Mileage
\text{Gallon (\(x\))}Gallon (x) \text{Mile (\(y\))}Mile (y)
55 153153
77 214. 2214. 2
1010 306306
1414 428. 4428. 4
How much farther can Camden' car travel on one gallon of ga than Wyatt' car?
Both automobiles' lines have the equation "y = 3x," and their respective gas mileage is 3 miles per gallon. Wyatt's automobile gets more miles per gallon of gas than Camden's vehicle does.
We must compute the mileage (the distance driven per gallon of fuel) for each automobile using the provided information to determine the difference between the ranges of travel for Camden's and Wyatt's vehicles.
We can determine the miles for Wyatt's automobile using the data points (5, 15) and (7, 21). The equation for the slope of the line connecting these two locations is
(y2 - y1) / (x2 - x1) = (21 - 15) / (7 - 5) = 6/2 = 3
"Y = mx + b" is the equation for the line connecting these two points, where m denotes the line's slope and b its y-intercept. We may determine the equation of the line by adding the values of m as well as the dimensions of one of the endpoints into this equation:
y = 3x + b
15 = 3(5) + b
15 = 15 + b
0 = b
"Y = 3x" is the equation for the line passing thru the points (5, 15) and (7, 21).
We can determine the miles for Camden's automobile using the data points (10, 30) and (14, 42). The equation for the slope of the line connecting these two locations is
(y2 - y1) / (x2 - x1) = (42 - 30) / (14 - 10) = 12/4 = 3
"Y = mx + b" is the equation for the line connecting these two points, where m denotes the line's slope and b its y-intercept. We may determine the equation of the line by incorporating the values of m as well as the dimensions of one of the endpoints into this equation:
y = 3x + b
30 = 3(10) + b
30 = 30 + b
0 = b
"Y = 3x" is the equation for the line passing through the points (10, 30) & (14, 42).
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The question is -
Computes the miles per gallon of your car via the miles traveled and the number of gallons used. Also, if you enter the cost per gallon and how many miles you drive a day, it will estimate your monthly and yearly gas expenses with data points (5, 15) and (7, 21).
what is the entire surd for 8 root 2
what is the entire surd of 5 root 9
what is the entire surd of 6 root 5
what is the entire surd of 3 root 13
help its urgent!!
The entire surds are √128, √225,√180, √117 respectively
What is an entire surd?An entire surd is a surd in which the entire number is under the root sign.
Given here are 8√2,5√9,6√5,3√13
thus their entire roots are 8√2 =√2×64
= √128
again, 5√9 = √9×25
= √225
6√5=√5×36
= √180
Similarly 3√13= √117
Hence, the respective entire surds are √128, √225,√180, √117
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which of the following is a constant in a mathematical model? a) decision variable. b) parameter. c) objective function. d) constraint. e) none of the answer choices are correct.
Answer:
b). parameter
Step-by-step explanation:
A parameter is a fixed value in the model that is not a decision variable and is not changed during the optimization process. It is used to represent known quantities that are used in the model but are not being optimized. For example, in a linear programming model, the cost of a product may be represented by a parameter, as the cost is not a decision variable and is fixed.
1) The domain of a function can BEST be described as which of the following:
a) The set of all y-coordinates
b) The set of all x-coordinates
d) The x-intercepts of one of the functions
c) Where the graph of the two
functions meet
Answer: b) The set of all x-coordinates
Step-by-step explanation:
Planes Q and R are parallel planes. Plane Q contains line a. Plane R contains line b.
Planes Q and R are parallel. Plane Q contains line a and plane R contains line b. Both lines are going the same direction.
If a third plane could be drawn which contains both lines a and b, then
lines a and b must be parallel.
lines a and b cannot be parallel.
lines a and b must be skew.
lines a and b must be perpendicular.
Answer:
lines a and b must be parallel
Answer:(A)
Step-by-step explanation:edge
Chri want to order DVD over the internet. Each DVD cot $15. 99 and hipping the entire order cot $9. 99. If he can pend no more than $100 , how many DVD could be buy?
Chris can only buy a maximum of 5 DVDs.
What is a division?
The division is a mathematical operation that involves dividing one number (the dividend) by another number (the divisor) to find the quotient. It is represented by the symbol "/" or "÷".
To determine how many DVDs Chris can buy, we need to subtract the cost of shipping from the total amount of money Chris has available and then divide the remaining amount by the cost of each DVD.
First, we subtract the cost of shipping from the total amount of money Chris has available:
$100 - $9.99 = $90.01
Then, we divide the remaining amount by the cost of each DVD:
$90.01 / $15.99 = 5.63
Chris can buy 5 DVDs.
Hence, Chris can only buy a maximum of 5 DVDs.
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let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. find r'(1) and s'(4).
The value of r'(1) and s'(4) is 0 that can be interpreted with the help of the graph that is given in the question.
Derivative in mathematics, the rate of change of a characteristic with recognize to a variable. Derivatives are essential to the answer of troubles in calculus and differential equations. The essence of calculus is the by-product. The by-product is the immediately price of extrade of a characteristic with recognize to certainly considered one among its variables. This is equal to locating the slope of the tangent line to the characteristic at a point
[tex]r(x) = f(g(x))[/tex]therefore the derivative of r is given by [tex]r'(x) = f'g(x)\times g'(x)[/tex]
[tex]r'(1) = f'(g(1))\times g'(1)[/tex] from the graphs
r'(1) = f'4 \times g'1 = (5/4) \times(0) = 0
Similarly s'(1) = g'(f(1))\times f'(1) from the graphs
f(1)=1.5, f'(1)
=\dfrac{ (3-0)}{(0-2)}
= -3/2 , g'(3/2) = 0
s'(4) = g'(3/2) \times f'(4) = 0(-1.5) = 0
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Complete question:
let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. find r'(1) and s'(4).
You have 2 different savings accounts. For Account A, the simple interest earned after 3 months is $2.00. For Account B, the simple interest earned after 18 months is $20.70. If the interest rate is 3.2% for Account A and 2.3% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
Answer:
Account A = $20.8
Account B = $
Step-by-step explanation:
how much is the principal in each account?
Formula = (P x R x T)/100
Account A: -
2.00 = P(3.2)(3) / 100
(2 x 100) / (3.2 x 3) = P
P = $ 20.8
Account B: -
20.7 = P(3.2)(18) / 100
(20.7 x 100) / (3.2 x 18) = P
P = $35.9
Which account earned you the most interest the first month?
Account A: -
3 months ----> $2
1 month ----> $x
x = 2 / 3
x = $0.67
Account B: -
18 months ----> 20.7
1 month ----> $y
y = 20.7 / 18
y = $1.15
Account B has earned more as 1.15 > 0.67 ( 1.15 IS greater than 0.67)
I hope my answer helps you.
if the correlation is 0, then there is no relationship between the two variables. hintlinks to an external site. textbook pageslinks to an external site. group of answer choices true false
There is no association between the two variables if the correlation is 0.hintlinks to an external site. textbook pageslinks to an external site is False statement.
A correlation of zero means that there is no linear relationship between two variables, however, this does not necessarily mean that there is no relationship at all. It's crucial to keep in mind that correlation does not equal causation.For example, two variables may have no linear relationship, but still be related in some way, such as through a third variable or a non-linear relationship. Therefore, correlation does not necessarily mean that there is no relationship between two variables.
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In the figure to the right, AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3/10 cm. Find the perimeter of the figure.
active attachment
The perimeter of the given composite figure is; 5¹/₂ cm
How to find the perimeter of the composite figure?
To get the perimeter of the given composite figure, what we will do is to dd up the given segment side lengths and we are given the following;
AE + DC = 1¹/₅ cm
AB = 1 ³/₄ cm
DE = 1 ¹/₄ cm
BC = 1 ³/₁₀ cm.
Thus, we can say that the Perimeter is;
Perimeter = AE + DE + DC + BC + AB
Perimeter = (AE + DC) + DE + BC + AB
= 1¹/₅ + 1 ¹/₄ + 1 ³/₁₀ + 1 ³/₄
= (1²/₁₀ + 1³/₁₀) +(1¹/₄ + 1³/₄)
= 2⁵/₁₀ + 3
= 5¹/₂ cm
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Please help me with math
Answer:
it is 0.5 percentStep-by-step explanation:
7 divided by 1400 x 100 = 0.5758 +630+7+105=1400 ^
Answer: A
the total employees in the company is
758 + 530 + 7 + 105 = 1400 (employee)
the percent of the employees walk to work is
7/1400.100% = 0,005 . 100% = 0,5%
Step-by-step explanation:
a researcher hypothesizes that babies will fall to sleep more quickly if they can hear the sound of a recorded heartbeat. the null hypothesis for this study is that
Babies will not fall asleep more quickly when they hear the sound of a recorded heartbeat by opposite of null hypothesis.
The researcher has proposed a hypothesis that babies will fall asleep more quickly when they can hear the sound of a recorded heartbeat. To test this hypothesis, the researcher must develop a null hypothesis. The null hypothesis is the opposite of the researcher's hypothesis and states the expected outcome if the researcher's hypothesis is false. In this case, the null hypothesis is that babies will not fall asleep more quickly when they hear the sound of a recorded heartbeat. To test these hypotheses, the researcher must design a study and collect data to determine if the hypothesis is true or false. The researcher must also consider variables that could affect the outcome of the study, such as the age of the babies, the type of recorded heartbeat, and any other factors that could impact the outcome. The results of the study will then be used to either reject or accept the null hypothesis and determine if the researcher's hypothesis is true or false.
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Noel old 4 carved wooden block at a local fair, earning a total profit of $26. He plan to ell 22 block during the fair. If he ell all the block, how much profit can Noel expect to earn? $
Noel can expect to earn a total profit of $572 if he sells all 22 blocks at the fair. Profit is an important measure of the financial performance of a business.
Profit is the amount of money that is gained from a business activity after all expenses have been paid. It is calculated by subtracting the costs of producing or acquiring a product or service from the revenue generated by selling that product or service.
To find the total profit that Noel can expect to earn from selling all 22 blocks, we need to multiply the profit from each block by the number of blocks he plans to sell.
We can use the following equation to calculate the total profit:
Total profit = Profit per block x Number of blocks
Plugging in the values we know, we get:
Total profit = $26 x 22 = $<<26*22=572>>572
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(6)/(a^(2))+(5a^(-2))/(3^(-3))
Answer:
[tex]\frac{141}{a^{2} }[/tex]
Step-by-step explanation:
[tex]\frac{6}{a^{2} } + \frac{5a^{-2} }{3^{-3} }[/tex]
[tex]\frac{141}{a^{2} }[/tex]
Determine whether the sequence 1/117659, 1/16807, 1/2401...converges or diverges. If it converges, give the limit.
The sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.
What is the sequence converges or diverges?A convergent series is a series whose partial sums tend to a specific number, also called a limit. A divergent series is a series whose partial sums, by contrast, don't approach a limit. Divergent series typically go to ∞, go to −∞, or don't approach one specific number.
The given sequence is 1/117659, 1/16807, 1/2401...
Here, common ratio is
1/16807 ÷ 1/117659
= 1/16807 × 117659/1
= 117659/16807
= 7
Now, 1/2401 ÷ 1/16807
= 1/2401 × 16807/1
= 16807/2401
= 7
Hence, the sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.
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A bag of marbles contains only yellow and purple marbles. The number of yellow marbles is five times as the purple marbles. The bag contains 138 total marbles. develop a system of equations to represent the situation, determine how many of each color of marble is in the bag
show how you checked your answers
Answer:
23 purple marbles
115 yellow marbles
Step-by-step explanation:
Let y represent the yellow marble
Let p represent the purple marbles
So, we have the equations
y = 5p
Therefore, y + p = 138
5p + p = 138
6p = 138
p = 23 marbles
Now let's put 23 in for the p in the equation to find the number of yellow marbles
y = 5(23)
y = 115 marbles
Which of the following numbers is divisible by 2, 5, and 10?
A. 101
B. 125
C. 342
D. 550
Answer: D. 550
Step-by-step explanation: Among the choices, 550 is the right answer, because simply it is divisible by 2, 5, and 10, unlike the other choices that are not divisible by 2, 5, or 10.
550 ÷ 10 = 55
550 ÷ 5 = 110
550 ÷ 2 = 275
The Sports Boosters are selling souvenir cups at the school football games to raise money for new uniforms. Each souvenir cup sells for $2.25. At the first game, the Boosters collected $123.75 from souvenir cups sales. How many cups were sold at the first game?
The number of cups sold at the first game is 55.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Cost of each souvenir = $2.25
The total amount collected from the souvenir cups sales = $123.75
The number of cups sold at the first game.
= 123.75/2.25
= 55
Thus,
The number of cups sold is 55.
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