Answer: 28 p is the cost of one crayon.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Marcin buys 7 rulers and 15 crayons for £7.
A ruler costs 12p more than a crayon.
now,
To solve this problem we're going to use an equation.
First let's write down the information that we do know.
Let's use (r) for ruler and (c) for crayon.
So 7 rulers and 15 crayons cost £7 (or 700 pennies)
--> 7r + 15c = 700
But we also know that r = c +12
So we can substitute c + 12 into the first equation where r is at the moment.
7(c+12) + 15c = 700
Now let's expand the brackets.
We multiply 7 by c to get 7c
and 7x12 t0 get 84
7c + 84 +15c = 700
22c + 84 = 700
Here I'm going to take 84 away from both sides.
22c = 616
616 divided by 22 is 28
so c = 28
hence, Each crayon therefore costs 28p.
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A rectangular prism is 12 cm long 6 cm wide and 5 cm high what is the volume of the rectangular
9514 1404 393
Answer:
360 cm³
Step-by-step explanation:
The volume is the product of the given dimensions:
V = LWH
V = (12 cm)(6 cm)(5 cm) = 360 cm³
20−5(4/2)^2=? /= fraction
Answer:
0
Step-by-step explanation:
=20−5(2^2)
=20−(5)(4)
=20−20
=0
In one particular suburb, there are 5 families that own a boxer. If there are a total of
25 families that own a dog in general, then what percentage of dog owners have a boxer?
Round your answer to the nearest whole number if necessary.
Answer:
60%
Step-by-step explanation:
Explanation:
To get percentages, take the part of a population that is being specified and divided that by the whole population and multiply that value by
100
%
.
So there are
30
people that own boxers, this is the specific population that is being compared to the whole dog-owning population, which is comprised of
50
total families. So
30
50
can be reduced to
3
5
and that gives us
.6
When that value is multiplied by
100
%
, it gives us our percentage of
.6
⋅
100
%
=
60
I need help please.
Answer:
D 18 percent
Step-by-step explanation:
So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred
the equation should be 18 is what percent of 100 which is the same thing as 18/100
18 divided by 100 is .18
The area of a rectangle is 2- 3/4 inch. ^2 If the length of the rectangle is 1/2 inch, what is the measurement of the width?
Answer:
The width of the rectangle = 1.15 inches
Step-by-step explanation:
Explanation:-
Given that the length of the rectangle = [tex]\frac{1}{2} inch[/tex]
The area of the rectangle = [tex]\frac{2.3}{4}[/tex] inch²
We have to find the width of the rectangle
The area of the rectangle = length × width
[tex]\frac{2.3}{4} = \frac{1}{2} X width[/tex]
⇒ 2 × 2.3 = 4× width
⇒ 4.6 = 4 w
⇒ w = 1.15 inches
Final answer:-
The width of the rectangle = 1.15 inches
Use the quadratic formula to find the solutions for
y = 3x^3 + 8x - 1
Answer:
Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]
Step-by-step explanation:
We need to use the quadratic formula to find the solutions for
[tex]y = 3x^2 + 8x - 1[/tex]
(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)
The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1
Putting values in the formula and finding solutions:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]
So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]
20% of __________ is 21. PLS HELP
Answer:
105
Step-by-step explanation:
0.2(x)=21
x=21/0.2
x=105
PLSSS HELP NOW I WILL GIVE BRAINLIEST WHO EVER ANSWERS THIS QUESTION
Answer:
√6: 2.44
Step-by-step explanation:
first one since it's closer to the square root of 6
2. Robert has three jobs. He worked at Young's Grocery and earned $5,805. He was a waiter at the A & B Restaurant and earned $12,445. He also earned $56,002
working for CCD Communications. Each employer took out 6.2% for Social Security. How much did Robert pay in Social Security?
Answer:
Robert paid $4,603.6 in Social Security.
Step-by-step explanation:
Robert total earnings:
$5,805 at Young's Grocery.
$12,445 at A&B Restaurant.
$56,002 at CCD Communications.
So his total earnings are of:
5805 + 12445 + 56002 = $74,252
How much did Robert pay in Social Security?
6.2%, that is, 0.062 of $74,252. So
0.062*74252 = $4,603.6
can someone show me the problems to 4/3 x 2/5 and 2/5 divided by 4/3
Answer:
8/15 and 3/10
Combine the like terms to create an equivalent expression. \large{7k-k+19}7k−k+19
Answer:
The simplified expression is 6k+19 .
Step-by-step explanation:
Enter the number that belongs in the green box
PLEASE HELP FAST
Determine which choice best shows the distributive property of multiplication.
Question 2 options:
1 × 6 = 6
6 × 9 = 9 × 6
6 × (9 + 8) = (6 × 9) + (6 × 8)
6 × (9 × 8) = (6 × 9) × 8
Answer:
c) 6× (9+8) = (6 × 9) + (6× 8)
Step-by-step explanation:
Distributive property of multiplication
The distributive property of multiplication
a(b+c) = a b + a c
(a+b)c = ac + bc
6× (9+8) = (6× 9) + (6×8)
Isabella is making a display board for the school trip. The display board is 2.50m by 2m rectangle. She needs to cover the entire display board with card. How much card would she needs?
Answer:
5m^2
Step-by-step explanation:
Given data
Length of board= 2.50m
Width of board= 2m
The cover need should have the same area as the board
Area= Length*Width
Area= 2.5*2
Area=5m^2
Hence the area of the cover is 5m^2
Which of the following lists of ordered pairs is a function?
O A. (2, 4), (0, 2), (2, -4), (5,3)
O B. (1,6), (2,7),(4,9), (0,5)
O c. (0, 2), (2, 3), (0, -2), (4,1)
O D. (1, 2), (1, -2), (3, 2), (3, 4)
Answer:
b
Step-by-step explanation:
Answer:
The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
Checking option A:
(2, 4), (0, 2), (2, -4), (5,3)
Here, the input x = 2 is repeated twice.
Thus, option A does not represent the function as the input x = 2 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.
Checking option B:
(1,6), (2,7),(4,9), (0,5)
It is clear that no input value is repeated. In other words, each input or x-value of the X set has a unique y-value or output of the Y set.
Thus, the option B represents the function.
Checking option C:
(0, 2), (2, 3), (0, -2), (4,1)
Here, the input x = 0 is repeated twice.
Thus, option C does not represent the function as the input x = 0 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.
Checking option D:
(1, 2), (1, -2), (3, 2), (3, 4)
Here, the input x = 1 is repeated twice, and also x = 3 is repeated twice,
Thus, option D does not represent the function as we can not have duplicated inputs as there should be only 1 output for each input.
Conclusion:
The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.
Which point is a solution to the equation 2x - y = 4?
Answer:
2x= 1 /2 y+ 2
Step-by-step explanation:
Solve for x.
2x−y=4
Add y to both sides.
2x−y+y=4+y
2x=y+4
Divide both sides by 2.
2x /2 = y+4 /2
x= 1/ 2 y+2
The required point that is the solution to the equation 2x - y = 4 is at (2, -4)
In order to get the solution to the equation, we will need to get its x and y-intercept.
x- intercept is the point where y is zero.
Given the equation 2x - y = 4
If y = 0
2x - 0 = 4
2x = 4
x = 4/2
x = 2
Get the y-intercept
y intercept is the point where x = 0
if x = 0
2(0) - y = 4
-y = 4
y = -4
Hence the y-intercept is -4
The required point that is the solution to the equation is at (2, -4)
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what is-56 divided by +7 ?
Answer:
-8
Step-by-step explanation:
Question 3 of 5
Is either x = 5 or x= 15 a solution to 25 – x= 5?
A. x= 15 is a solution, but x = 5 is not.
B. Neither is a solution.
C. They are both solutions.
O D. x = 5 is a solution, but x = 15 is not.
Answer:
B
Step-by-step explanation:
Neither is a solution because when you subtract 5 from 25 you get 20.
Which expression means the same as "25 less that 5y"
Answer:5y-25
Step-by-step explanation:
Answer:
5y - 25
Step-by-step explanation:
that expression shown 25 less than 5y
hope this helps...
Can you help me? I will give the brainleist
Answer:
18
Step-by-step explanation:
P = (3+6)*2 = 18
algebra what is 6a6 over 2a2=
Answer:
3a^4
Step-by-step explanation:
Simplify the expression.
Mr. Marlon pays minimum wage to the cashiers in his store. If minimum wage is $7.25 per hour, how much does a cashier make who works 40 hours per week?
Answer:
$290
Step-by-step explanation:
Because 7.25×40=290
Hardy was given the scale drawing of the enlargement to find the scale factor and missing lengths. His work is shown below. Side A corresponds with 1.5, side B corresponds with 4, and a side with length 30 corresponds with a side with length 6. 1. Scale factor = StartFraction Scale drawing dimension over original dimension EndFraction = StartFraction 30 over 6 EndFraction = 5. Side A = 1.5 + 5 + 6.5. Side B = 4 + 5 = 9. Analyze Hardy’s work to determine if he is correct. If he is incorrect, what is his error? Yes. Hardy is correct. No. Hardy should have used the ratio of the original to the scale drawing to find the scale factor. No. Hardy should have multiplied by the scale factor to find the missing length. No. Hardy should have divided by the scale factor to find the missing length.
C. No. Hardy should have multiplied by the scale factor to find the missing length.
A statistician chooses 27 randomly selected dates, and when examining the occupancy records of a particular motel for those dates, finds a variance of 34.34 and a standard deviation of 5.86 rooms rented. If the number of rooms rented is normally distributed, find the 95% confidence interval for the population standard deviation of the number of rooms rented. Interpret your interval in context.
Answer:
Confidence interval variance [21.297 ; 64.493]
Confidence interval standard deviation;
4.615, 8.031
Step-by-step explanation:
Given :
Variance, s² = 34.34
Standard deviation, s = 5.86
Sample size, n = 27
Degree of freedom, df = 27 - 1 = 26
Using the relation for the confidence interval :
[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]
From the chi distribition table :
X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844
Hence,
[34.34*26 / 41.923] ; [34.34*26 / 13.844]
[21.297 ; 64.493]
The 95% confidence interval for the population variance is :
21.297 < σ² < 64.493
Standard deviation is the square root of variance, hence,
The 95% confidence interval for the population standard deviation is :
4.615 < σ < 8.031
The population variance of 95% confidence interval is [tex]4.615<\sigma<8.031[/tex] and this can be determined by using the given data.
Given :
Variance = 34.34Standard Deviation = 5.86Sample Size = 2795% confidence intervalFirst, determine the degree of freedom.
[tex]df = 27-1=26[/tex]
The determine the confidence interval using the below formula:
[tex]\left(\dfrac{s^2(n-1)}{X^2_{\alpha/2,(n-1) }}\right);\left(\dfrac{s^2(n-1)}{X^2_{(1-\alpha)/2,(n-1) }}\right)[/tex]
Now, using the chi distribution the above expression becomes:
[tex]\left(\dfrac{34.34\times 26}{41.923 }}\right);\left(\dfrac{34.34\times 26}{13.844 }}\right)[/tex]
Simplify the above expression.
(21.297 ) ; (64.493)
So, the population variance of 95% confidence interval is:
[tex]\begin{aligned}\\21.297&<\sigma^2<64.493\\4.615&<\sigma<8.031\\\end{alingned}[/tex]
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If you invested $250 at 16% interest, how much would you have after 18 years?
Answer:
4,000
Step-by-step explanation:
The city of Gainesville is trying to determine the average price for a gallon of gas. They randomly sampled 28 gas stations and found the sample mean to be $2.58 with a standard deviation of $0.09. Assume that all of the assumptions are met. Calculate a 95% confidence interval for the population mean gas price in Gainesville.
Answer:
The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 28 - 1 = 27
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0.52
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.052\frac{0.09}{\sqrt{27}} = 0.04[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is $2.58 - $0.04 = $2.54
The upper end of the interval is the sample mean added to M. So it is $2.58 + $0.04 = $2.62.
The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.
Find the solution of the system of equations.
- 2x - 5y=-12
10x - 4y = 2
Answer:
[tex]x=1, y=2[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}-2x-5y=-12\\ 10x-4y=2\end{bmatrix}[/tex]
Isolate x for [tex]-\:2x\:-\:5y=-12[/tex]
[tex]-\:2x\:-\:5y=-12[/tex]
Add 5y to both sides.
[tex]-2x-5y+5y=-12+5y[/tex]
Simplify.
[tex]-2x=-12+5y[/tex]
Divide both sides by 2.
[tex]x=-\frac{-12+5y}{2}[/tex]
Substitute x for [tex]-\frac{-12+5y}{2}[/tex].
[tex]\begin{bmatrix}10\left(-\frac{-12+5y}{2}\right)-4y=2\end{bmatrix}[/tex]
Simplify.
[tex]\begin{bmatrix}-29y+60=2\end{bmatrix}[/tex]
Isolate y for [tex]-29y+60=2[/tex]
[tex]y=2[/tex]
Substitute y in [tex]-\frac{-12+5y}{2}[/tex] for 2.
[tex]x=-\frac{-12+5\cdot \:2}{2}[/tex]
Simplify.
[tex]x=1,\:y=2[/tex]
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imma look what dis is
Answer:
its loading but ill help!
Step-by-step explanation:
What’s the percentage as a decimal
Answer:
0.0006
Step-by-step explanation:
The division property of equality could be used to solve which of the following equation
A. 5x=30
B. X/4=16
C. (X+2) (x-2)= 0
D. X+3=7
Please help me
Answer:
A
Step-by-step explanation:
5x = 30
divide both sides by 5:
x = 6