Answer:
1. C.
2. B.
3. A.
Step-by-step explanation:
First situation given:
An adult and 5 children rent skates. It costs $ 4 per adult for skates and a total of $ 16.
Correct equation: C
4 + 5 x = 16
Second situation given:
It costs Mikael $ 4 to make a bike bag, and he sells each for $ 5. He has made a profit of $ 16, so far.
Correct equation: B
( 5 − 4 ) x = 16
Third situation given:
It was 16°C. It began falling 4°C per hour until it reached 5°C.
Correct equation: A
16 − 4 x = 5
Equations are matched to situations based on the context provided: the adult and children renting skates is described by 4 + 5x = 16, Mikael's profit from selling bike bags fits the equation (5 - 4)x = 16, and the temperature dropping over time corresponds to 16 - 4x = 5.
To match each equation to its corresponding situation, let us consider each situation and then associate the relevant equation.
Adult and children renting skates: An adult rents skates at $4, and the total cost including 5 children is $16. The equation representing the total cost is the adult's cost plus 5 times the children's cost equals $16, which is: 4 + 5x = 16.
Mikael making a profit from bike bags: Mikael spends $4 to make a bike bag, sells it for $5, and has made a profit of $16. To determine how many bags he sold (x), we can use the equation that accounts for profit, which is the selling price minus the cost of making the bag, multiplied by the number of bags, equals the profit: (5 - 4)x = 16.
Temperature drop: The temperature started at 16°C and dropped at a rate of 4°C per hour until it reached 5°C. To find the number of hours (x) it took for the temperature to drop, we can use the equation that links the initial temperature, minus the drop per hour times the number of hours, equals the final temperature: 16 - 4x = 5.
Now, we can clearly match the equations to their situations:
The situation where an adult and children rent skates corresponds to the equation 4 + 5x = 16.
Mikael making a profit from selling bike bags is represented by the equation (5 - 4)x = 16.
The decrease in temperature over time until it reached 5°C is described by the equation 16 - 4x = 5.
De los 145 estudiantes matriculados en
una escuela, solo 58 fueron a la excursión.
Qué porciento de la matrícula asistió a la
excursión?
Answer: nə dünya
Step-by-step explanation:
Find the area of the circle. Round to the nearest tenth.
Answer:
28.27
Step-by-step explanation:
Area= pi x radius squared
Radius is 1/2 the diameter which in this case is 6 ft
So, pi x 3 squared (9)
= 28.27
Answer:
28.3
Step-by-step explanation:
Hello!
To find the area of a circle we use πr².
In this case, all we have to do is divide 6 by 2 and square that.
6 ÷ 2 = 3. 3² = 9.
9 × π = 28.2743....
Rounding to the nearest tenth:
28.3
Thus, the area of the circle is [tex]\boxed{28.3}[/tex].
Hope this helps!
You start at (7,0). You move up 1 unit.
What is the remainder in the synthetic division problem below? 1/1 2 -3 3
Answer:
3
Step-by-step explanation:
I'm assuming you want to do the following synthetic division:
1 / 1 2 -3 3
1 3 0
--------------------------------
1 3 0 3 The remainder is 3.
The remainder is -2
The remainder in synthetic division is the constant term of the quotient. To find the remainder of the synthetic division problem above, we can use the following steps:
Arrange the coefficients of the dividend and divisor in descending order of degree.
Set up the synthetic division table as follows:
2 -3 3 |1
---------------
1
Bring down the first coefficient of the dividend.
Multiply the coefficient we just brought down by the divisor and place the product in the next column.
Subtract the product from the corresponding coefficient of the dividend and place the difference in the next column.
Repeat steps 4 and 5 until we reach the last column.
The remainder is the last number in the bottom row of the synthetic division table.
Following these steps, we get the following synthetic division table:
2 -3 3 |1
---------------
1 2 -1
-2 -4 2
--------
-2
Therefore, the remainder is -2
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A similar scale model of the motorcycle shown stands 3 inches high and is 6 inches long. How high does the actual motorcycle stand?
Answer:
48 in.
Step-by-step explanation:
Scales are based on proportions. The proportion in this scenario is:
96/6 = x/3
Cross multiply. You are left with the equation:
96x3 = 6x
Simplify.
288 = 6x
288/6 = x
48 = x
Hope this helps :)
A model's scale ratio is the proportionate ratio of dimensions. The actual motorcycle stands at a height of 48 inches.
What is the scale ratio?A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.
The length of the motorcycle is 96 inches, while the length of the scale model of the motorcycle is 6 inches. Therefore, the scale ratio can be written as,
[tex]\rm Scale\ Ratio = \dfrac{\text{The actual length of the motorcycle}}{\text{The model length of the motorcycle}}\\\\Scale\ Ratio = \dfrac{96}{6} = 16[/tex]
Using the same ratio the height of the motorcycle can be written as,
[tex]\rm Scale\ Ratio = \dfrac{\text{Actual height of the motorcycle}}{\text{Model height of the motorcycle}}\\\\\\16=\dfrac{\text{Actual height of the motorcycle}}{3}\\\\\\{\text{Actual height of the motorcycle}} = 16 \times 3 = 48\ inches[/tex]
Hence, the actual motorcycle stands at a height of 48 inches.
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Rolling a number less than 6 on a number cube labeled 1 through 6
Answer:
Any number from 1-5
Step-by-step explanation:
Less than 6!
An angle measures 30 degrees.
What is the measure of its complement (i.e., the complementary angle)?
The measure of the complimentary angle is 60 degrees.
Complimentary angle:The complimentary angle is the angle where the sum of angles should be 90 degrees
Since An angle measures 30 degrees.
So, the measure of an angle should be
= Sum of angles - one measurement of angle
= 90 - 30
= 60 degrees
Therefore we can conclude that The measure of the complimentary angle is 60 degrees.
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Enter the value of b when the expression 8/9x+b is equivalent to 1/9 (8x+5)
Answer:
b = 5 / 9
Step-by-step explanation:
8/9x + b = 1/9(8x + 5)
Make b the subject of formula.
b = 1/9 (8x + 5) - 8/9x
Multiply through by 9
9b = 9 * 1/9 ( 8x + 5) - 9 * 8/9x
9b = 8x + 5 - 8x
9b = 5
b = 5 / 9
The value of b = 5 / 9
Which expressions are equivalent to 4(-52 + 2) + (-6)?
Answer:
-232+8
Step-by-step explanation:
4 times -52 = 208
-208 = 4 x -6 = -232
4 x 2 =8
-232+8
use the distributive property to evaluate each expression(5-7)(-3)!!
Answer:
6
Step-by-step explanation:
Multiply both numbers by -3. I suggest getting m a t h w a y its a good math website that's helpful.
4. Find the lateral and total surface area of
the prism.
Find the slant height of the pyramid shown.
Answer:
B is the correct answer ( square root of ten)
Step-by-step explanation:
I just did it and got it right
The slant-height of the pyramid having perpendicular height as 3 units, base as 1 unit is : (b) √10.
A Pyramid is a three-dimensional geometric shape with a polygonal base and triangular faces that meet at a single point called the apex. The base can be any polygon, and the number of sides of the base determines the type of pyramid (e.g., a square base yields a square pyramid)
The "Slant-Height" of the given pyramid can be calculated by using Pythagoras-Theorem, which states that; (slant-height)² = (perpendicular)² + (base)²;
Substituting Perpendicular height as 3 units, base as 1 unit, and slant-height as "x";
We get,
⇒ 3² + 1² = x²,
⇒ x² = 9 + 1,
⇒ x² = 10,
⇒ x = √10,
Therefore, the slant-height is √10, option (b) is correct.
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If three-quarters of a gallon of ice cream was shared equally among the 5 people, what fraction of a whole gallon did each person receive?
Answer:
3/20
Step-by-step explanation:
If you divide 3/4 by 5 you get 3/20
Answer:
3/20
Step-by-step explanation:
We have 3/4 of a gallon, and we want to divide it equally among 5 people. So, we can divide 3/4 by 5
3/4 /5
Divide by 5, or multiply by the reciprocal of 5. To find the reciprocal, flip the numerator and denominator
Reciprocal: 5/1 ---flip---> 1/5
3/4 * 1/5
Multiply across the numerator and denominator
3/20
Each person gets 3/20 of a gallon
Would anyone please be able to help me??
Answer:
a. = 111 inches squared b.= 506 inches squared c.=143 inches squared
Step-by-step explanation:
a.
To find the area I broke the shape into two parts one where you multiply 7 and 9 to get the area and one where you multiply 12 and 4 to get the area. The first area is 63 and the second is 48 and together the entire area is 111 inches squared
b.
To find the area here you do the same thing as a. you break the shape into two parts a part where you multiply 29 and 14 and a part where you multiply 20 and 5. In all you get 506 inches squared.
c.
I this problem you find the area of the triangle and the rectangle.The formula of the triangle is b times h times 1/2 in this case. 6 times 13 times 1/2 which is 39. the area of the rectangle is 8 times 13 = 104. So the total area is 143
Sorry i took so long I had to do something
Find the value of x. Give the answer in simplest radical form.
Answer:
X = 8√2.
Step-by-step explanation:
In a 45-45-90 triangle the ratio of the sides are x:x:√2 x.
So here, x = 8 and the side X = 8√2.
Solve using substitution. x + 2y = 4 and –4x − 7y = –9
Step-by-step explanation:
Given
x + 2y = 4
x = 4 - 2y.......... equation 1
-4x -7y = - 9.......equation 2
Putting equation 1 in equation 2
- 4 ( 4 - 2y) - 7y = - 9
-16 + 8y - 7y = -9
y = - 9 + 16
y = 7
Now
x = 4 - 2* 7 = 8 - 7 = 1
hope this helps.
Answer:
X=-10 y=7
Step-by-step explanation:
1) in first equation subtract 2y on both sides
X=4-2y
Substitute as "x" in the second equation:
-4(4-2y)-7y=-9
-16+8y-7y=-9
-16+y=-9
Y=7
Substitute y as 7 to get x)
X=4-2(7)
X=4-14
X=-10
Hope this helps
11. Dominika wykonała dwa pudełka z przykrywkami: jedno w kształcie prostopadłościanu, a drugie w kształcie sześcianu. Do łączenia ścian użyła nici. Na które pudełko zużyła więcej kartonu.
Dam naj, 5gwiazdek i dziękujke.
Answer:
I pudełko:
a=15cm
b=20cm
H=10cm
P=2*a*b+2*a*H+2*b*H
P=2*15cm*20cm+2*15cm*10cm+2*20cm*10cm
P=600cm2+300cm2+400cm2
P=1300cm2
II pudełko:
a=15cm
P=6*a*a
P=6*15cm*15cm
P=1350cm2
1350cm2-1300cm2=50cm
Na drugie pudełko zużyła więcej kartonu
Step-by-step explanation:
In the graph below, find the coordinate of the image point. O is the origin and P is the point (4,3). Ry and Ry are
reflections around the x- and y-axes.
R p,90 • R o, -90 : (-1,1) ->
A.) (-7, 9)
B.) (-1, -1)
C.) (6, -2)
(See image for graph)
The coordinate of the point is (-1,-1).
The answer is option B) (-1, -1).
How do you find a coordinate on a graph?To identify the x-coordinate of a point on a graph, read the number on the x-axis directly above or below the point. To identify the y-coordinate of a point, read the number on the y-axis directly to the left or right of the point. Remember, to write the ordered pair using the correct order (x,y).
What is graph coordination?An ordered pair (x, y) represents a position of a point on a coordinate graph, where x is the number on the x-axis that the point lines up with and y is the number on the y-axis that the point lines up with. The numbers x and y in the ordered pair (x, y) are called coordinates.
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x² - x - 6
x - 3
Perform the division
Answer:
x+2 is answer by division
three bags of chips costs m cents. At this rate, what is the cost, in cents, of one bag of chips?
Answer: m/3 cents
Step-by-step explanation:
Hi, to answer this question we have to divide the total cost of the chips (m) by the number of bags of chips (3).
Mathematically speaking:
Cost of one bag chip: m/3 cents
Since the total cost is represented by a variable, the individual cost is an expression.
If we replace the value of m by a number we will obtain the result as a number.
Feel free to ask for more if needed or if you did not understand something.
The number of hours of TV watched each week by 8 seventh grade students is shown below.
11, 7, 9, 3, 3, 8, 10, 5
a. What is the mean number of hours of TV watching?
b. Mean absolute deviation =
c. Explain the meaning of the mean absolute deviation as it relates to the number of hours of TV watched.
Answer:
(a)Mean=7 Hours
(b)Mean Absolute Deviation=2.5 Hours
Step-by-step explanation:
Given the number of hours of TV watched each week by 8 seventh grade students shown below.
11, 7, 9, 3, 3, 8, 10, 5
(a)Mean
[tex]Mean=\dfrac{\text{Addition of all the terms}}{\text{Number of Terms}} \\=\dfrac{11+7+9+3+3+8+10+5}{8} \\=\dfrac{56}{8} \\$Mean Number of Hours=7[/tex]
(b)Mean absolute deviation
[tex]M.A.D=\dfrac{|11-7|+|7-7|+|9-7|+|3-7|+|3-7|+|8-7|+|10-7|+|5-7|}{8} \\=\dfrac{4+0+2+4+4+1+3+2}{8} \\=\dfrac{20}{8}\\$Mean Absolute Deviation=2.5 Hours[/tex](c)The Mean Absolute Deviation tells us how far, on average, all values are from the mean. The Mean absolute deviation of 2.5 Hours tells us that each hour is on the average far from the mean number of hours by 2.5 Hours.
Multiply. Express your answer in simplest form. 1 7/8 x 2 1/3
Answer:
4 3/8
Step-by-step explanation:
8 × 1 + 7 = 15/8
3 × 2 + 1 = 7/3
Now, we'll multiply both numerator and denominators.
(numerators) 15 × 7 = 105
(denominators) 8 × 3 = 24
= 105/24
Now, we'll find the simplest form of 105/24
= 4 3/8
Find the degree of the monomial -4/9
Answer:
Step-by-step explanation: the degree is 0
Final answer:
The degree of the monomial -4/9 is 0 since it contains no variables and can be considered to have variables with an exponent of 0.
Explanation:
The degree of a monomial is the sum of the exponents of all its variables. In the case of the monomial -4/9, there are no variables present, which means that the degree is 0. This is because the monomial can be considered to have variables raised to the power of 0, and any number (except zero) raised to the power of 0 is 1, which does not affect the value of the coefficient (-4/9).
solve for area of the shaded region (#61)
Pls explain im so confused
Answer: So after reading my explanation you can simply find the area good luck!
Step-by-step explanation:
Inequality 1 is graphed in blue and inequality 2 is graphed in red. The overlap of the shaded regions (purple shading) represents the solution. ... Inequality 1 is graphed in blue and inequality 2 is graphed in red. In this case the regions do not overlap. This indicates that there is no solution to the system
Which is greater .13 or .3
Answer:
.3 is greater.
Step-by-step explanation:
.13
.3 or .30
These are the same, and obviously .30 is larger than .13.
Answer:
.3 is greater cause it is also read as .30
A circle with area 9π has a sector with a central angle of 17π/9 radians. What is the area of the sector?
Answer:
8.5pi
Step-by-step explanation:
We can solve this problem with a rule of three.
The area of the whole circle is represented by a sector with central angle of 2*pi. So, if we want to find the area of a sector that has a central angle of 17pi/9, we can use the following logic:
sector of 2pi -> area equal to 9pi
sector of 17pi/9 -> area equal to X
2pi / (17pi/9) = 9pi / X
18 / 17 = 9pi / X
X = 17 * 9pi / 18 = 17pi / 2 = 8.5pi
Write 3.01 as a mixed number in simplest form
Answer:
3 1/100
Step-by-step explanation:
That is just the answer
Answer:
3 1/100
Step-by-step explanation:hope this helps god bless
What is 220kg increased by 12.5%
Answer:
247.5
Step-by-step explanation:
220 + (12.5% × 220)
220 + 12.5% × 220
(1 + 12.5%) × 220
(100% + 12.5%) × 220
112.5% × 220
112.5 ÷ 100 × 220
112.5 × 220 ÷ 100
24,750 ÷ 100 = 247.5
The average not chocolate solo per nour auring Juanas Shirt was
The coffee shop where Juana works makes a profit of $312.50 for every 250 hot chocolates sold. How much
profit do they make on each hot chocolate sold?
Answer:
1.25
Step-by-step explanation:
If both coordinates of a point are positive, in which quadrant is that point located?
A) I
B) II
C) III
D) IV
Answer:
A
Step-by-step explanation:
Both points are positive in the 1st quadrant.
Answer:
A. l
Step-by-step explanation:
Both coordinates are in quadrant 1 because both x and y in quadrant 1 must be positive.