The two equations that could be used to determine the number of pictures (x) and songs (y) is x + y = 16 and 650x + 2200y = 18150
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of pictures and y represent the number of songs, hence:
x + y = 16 (1)
And:
650x + 2200y = 18150 (2)
The two equations that could be used to determine the number of pictures (x) and songs (y) is x + y = 16 and 650x + 2200y = 18150
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What is the surface area of this rectangular prism?
Answer:
it's simple math honey, just look it up
You will now consider Option 2-using low-flow shower heads instead of regular
shower heads.
Courtney claims that Option 2 would result in the class using 270 gallons of
water during 180 minutes of showering because:
(180minutes) (1.5gallons per minute) = 270gallons.
=
Courtney is incorrect.
• Identify her error.
• Explain how to find the correct amount of water used if the class
chooses Option 2.
• Include how much water would be used.
The error in Courtney claims that Option 2 would result in the class using 270 gallons is that he multiplied rather than dividing.
How to solve the error?From the information given, it should be noted that Courtney claims that Option 2 would result in the class using 270 gallons of water during 180 minutes of showering is incorrect because she should have divided and not multiplied. This will be:
= 270 / (3/2)
= 180 × 2/3
= 120
Therefore, 120 gallons will be used.
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Evaluate the expression.
(-3)³ +(5-2)4
Answer:
54
Step-by-step explanation:
( - 3 )³
= ( - 3 ) x ( - 3 ) x ( - 3 )
= - 27
( 5 - 2 )^4
= 3^4
= 3 x 3 x 3 x 3
= 81
( - 3 )³ + ( 5 - 2 )^4
= - 27 + 81
= 81 - 27
= 54
Mr. Tricorn’s class measured the lengths of crayons. How many crayons did they measure? Use the live plot
Answer:
Length =5cm
Step-by-step explanation:
When there's a problem ask
Please find the area of the figure.
Could someone explain how to count the little bits?
Answer:
√250 + 2 = 5√10 + 2
Step-by-step explanation:
1. refer to image attached
2. split the area into a rectangle and triangle (see red line)
3. find the area of the triangle
a. find the base (2)
b. find the height (2)
area = base * height / 2 = 2 * 2 / 2 = 2
4. find the area of the rectangle
a. find the width
the width can be found from the right triangle at the top right. the height is 2 and the bottom leg is 1, so using the pythagorean theorem, the hypotenuse, which is the width of the triangle, equals
√(2²+1²) = √5 as our width
b. find the length
given the top right triangle, we have a height of 5 and another leg length of 5, so the length = √(5²+5²) = √50
the area of the rectangle is thus √50 * √5 = √250
4. the area is thus the two areas added up, or √250 + 2
Stephan read
that 62 out of
every
75 children prefer
pepperoni pizza. There are
375 children in Stephan's
school. How many children in
Stephan's school prefer
pepperoni pizza?
The total number of children in Stephan's school prefer pepperoni pizza where 375 children in Stephan's school is 310.
What is equivalent ratio?Equivalent ratio is the ratio which is same in the value as the original ratio, but the numerator and denominator is different for both the ratios.
Stephan read that 62 out of every 75 children prefer pepperoni pizza. Thus, the ratio of children who prefer pepperoni pizza to the total children is,
[tex]n=\dfrac{62}{75}\\[/tex]
Let suppose there are x children in Stephan's school prefer pepperoni pizza. There are 375 children in Stephan's school. The ratio of children who prefer pepperoni pizza to total 375 children is,
[tex]\dfrac{x}{375}[/tex]
Both the above ratio are for the same condition, and are equivalent ratio. Thus,
[tex]\dfrac{x}{375}=\dfrac{62}{75}\\x=\dfrac{62}{75}\times375\\x=310[/tex]
Thus, the total number of children in Stephan's school prefer pepperoni pizza where 375 children in Stephan's school is 310.
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What is an expression for the area of the figure? Write your answer as a polynomial in standard form.
Answer:
[tex]A=4x^{2} +x[/tex]
Step-by-step explanation:
[tex]A = (3x)(2x+1) -2x(x+1)[/tex]
[tex]=6x^{2} +3x-2x^{2} -2x[/tex]
[tex]=4x^{2} +x[/tex]
Hope this helps
What is 60% of 50?
20
30
40
60
Step-by-step explanation:
60/100 ×50
= 30 ........
15 dollars a hour spends 25 dollars a day. Write an expresstion of his earnings in a day?
Answer:
E = 15x - 25
Step-by-step explanation:
He makes 15 dollars an hour for x amount of hours and then subtract 25 dollars
The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
75
1
80
5
85
7
90
3
95
1
100
6
Answer:
its has to be 45.6 becuase when you calculate you get 45.66666667 so its either that or 46
Step-by-step explanation:
add 75+1+80+5+85+7+90+3+95+1+100+6=548
then you divide by the amount of numbers there are which is twelve so
548 divided by 12 is 45
what is the perimeter of the trapezoid? please help asap!!
Answer:
42
Step-by-step explanation:
add base 1, 2, 3 & 4 so 9 + 9 + 15 + 9 = 42
The Jacksons sublet their summer cottage during the winter and spring months. For each month they receive 72% of their monthly mortgage of $1,750. How much did The Jacksons earned in 6-months?
Answer:
7,560
Step-by-step explanation:
70% of 1750 × 6 = 7,560
or
At a T-shirt stand on the boardwalk, 5 of the last 15 shirts sold were gray. Considering this data, how many of the next 12 shirts sold would you expect to be gray?
Answer:
4
Step-by-step explanation:
So, 5/15 shirts are gray.
This can be simplified to 1/3. (5÷5 = 1, 15÷5=3)
So taking this data into account, if we have 12 shirts, one third of them should be gray. So, 12/3 = 4.
Answer:
4
Step-by-step explanation:
Trust
A tumbler contains 2 litres and 250 millilitrer of orange juice . How many glasses can be filled with 15 ml of this juice in each
2 litres and 250 millilitres of orange juice.
to find:how many glasses can be filled with 15 ml of this juice in each.
solution:[tex]2 \: litre = 2000 \: millilitre[/tex]
[tex]2000 + 250[/tex]
[tex] = 2250[/tex]
[tex] \frac{2250}{15} [/tex]
[tex] = 150[/tex]
therefore, 150 glasses can be filled with 15 millilitres of orange juice.
round 10}982 to the neraste hundred
graph the equation
2x + 3y = 9
[tex]2x + 3y = 9\\3y = -2x + 9\\y = -\frac{2}{3}x + 3[/tex]
Look at the graph picture I attached
[tex]y = mx + c[/tex]
c is the intercept, which is why the graph crosses the y-axis at +3
to find where it crosses the x-axis, we make y = 0
[tex]y = 0\\\to -\frac{2}{3}x + 3 = 0\\-\frac{2}{3} = -3\\\frac{2}{3}x = 3\\2x = 9\\x = \frac{9}{2}\ \ (=4.5)[/tex]
Which of the equations below could be the equation of this parabola?
A student usually saves $20 a month. He would like to reach a goal of saving $350 in 12 months. The student writes the equation
350 = 12 (x+20) to represent this situation. Solve the equation for a.
• Show your work or explain your answer.
.
• Write your answer as a sentence that describes what the variable a represents.
bedst to fo0:1
Enter your answers and your work or explanation in the box provided.
in the
MWODWORE MOITUJOS
bno show alorios
in nor
Answer:
9.16
Step-by-step explanation:
350 = 12 (x + 20)
350 = 12x +240
350 = 12x +240
-240 -240
110 = 12x
_______
12
9.16 or 9.17 = x
What is the simplified expression for Negative 2 a squared b + a squared minus 5 a b + 3 a b squared minus b squared + 2 (a squared b + 2 a b)?
a^2-9ab+3ab^2
Sure hope this helps you
Logan calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: geography, math, English, and theater.
geography: MAD of 3.5
math: MAD of 1.36
English: MAD of 1.8
theater: MAD of 3.15
In which class were his scores the closest together?
math
English
geography
theater
Since it had the lowest mean absolute deviation, his scores were closest together in Math.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.Hence, lower values of the mean absolute deviation means that the scores are closer, and thus his scores were closest together in Math.
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Choose the best answer. A rational number is a number that can be written as
• A. a fraction where the numerator and denominator are integers
O B. a product of two integers
• C. a sum of two integers
• D. a difference of two integers
Answer:
A
Step-by-step explanation:
Give some examples like
2/3
Ben spent 1/6 of his money on a burger, fries, and a drink. Then he spent half of the money he had left: $5 on a magazine, $8.25 on a bookmark, and $10.50 on a book. How much money did he have to begin with?
Please answer asap and please explain your answer.
Answer:
$2.25
Step-by-step explanation:
because u divide by 2 and then u get the correct answer I think its it
At Hamilton's Hamburger Hangout, 50% of the tables are occupied by customers. There
are 20 tables occupied by customers.
Shade the grid to show the percent of tables that are occupied.
How many total tables are there? You can use your model to help.
tables
I don’t get the answer what is it can anyone help?
Answer:
40 tables total
Step-by-step explanation:
Several ways to figure it out, but hopefully one of these is better for you to understand..
20 is half of 40 or 50% 50% in decimal form is .5 or .50 (either way works)
40 x .5 = 20 or you could say
1/2 of 40 is 20
So you would want to shade 20 tables, and the other 20 would be unshaded.
Joe collected 94 stamps altogether. He collected 27 in April and 34 in May. How many did he collect in June?
Answer:
33
Step-by-step explanation:
From what we know in April and May combined Joe has collected 61 stamps (27+34=61). To then work out how many Joe collected in June you would take the 61 we know he has already got away from the grand total of 94 (94-61=33) this means in June he collects 33 stamps. Hope this helps :)
help me please one again what is 2(n + 3y)
Answer:
30
Step-by-step explanation:
2(n+3y)
Plug in the numbers
2(3+3(4))
2(3+12)
2(15)
30
Elaina has to congruent rugs at her house she cut one vertically down the middle and she cut diagonally though the other one after making the cuts which rug has the lager area i need the answer fast
Answer:
All of the rugs are the same size after making the cuts. The vertical line goes down the center of the rectangle, making two congruent parts. The diagonal line also splits the rectangle into two congruent parts because the area of a right triangle is exactly half the area of the rectangle.
Step-by-step explanation:
If A ≠ 0 and B = 0 in a linear equation of the form Ax + By = C, then which statement is also true?
A. The graph of this equation is a horizontal line.
B. The graph of this equation is a vertical line.
C. The graph of this equation is a slanted line.
D. The graph of this equation can be any straight line.
Considering the given linear equation, it is found that the correct statement is given by:
B. The graph of this equation is a vertical line.
What is the given linear equation?It is:
Ax + By = C
Considering that A ≠ 0 and B = 0, the expression is represented by:
Ax = C
x = C/A.
Which means that the graph is a vertical line, hence option B is correct.
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Graph the line with slope 2 passing through the point (-1, 5).
Answer:
(-1,5)
(0,7)
(1,9)
(2,11)
(3,13)
(4,15)
(5,17)
Step-by-step explanation:
Because we are already given our slope and a point to help us create our line. With this information, we can find the other points that we would use to create the line for a slope = 2 passing through the point (-1, 5).
To do so we use the information that is a slope equal [tex]m=\frac{rise}{run}[/tex]
So we make our slope which is two look like [tex]m=\frac{2}{1}[/tex]
So to find our next point we would have to rise up 2 units and run 1 unit to the right from (-1, 5). We do the same to find the next points.
We get the following points from doing so
(0,7)
(1,9)
(2,11)
(3,13)
(4,15)
(5,17)
You will use the points to create the line for the slope 2 passing through the point (-1, 5)
ABC = 90, ACB = 45° and AC = 2√6. a) Find the measure of the angle CAB.
What is this it’s hard to understand
For a rotation of 180° clockwise or counterclockwise, the x and y will always be the opposite. For instance, if coordinates (4, 7) are being 180° rotated, the new set of coordinates will be (-4, -7).
Remembering the rule, the final answer to your question is A, 180° clockwise rotation about the origin.