Answer:
$300
Step-by-step explanation:
$75 = 3 games
12 ÷ 3 = 4
$75 x 4 = $300
To solve this question, you start by dividing 75/3. 75/3=25. 25 is the cost of one video game. Now we multiply 25 by 12 to find the cost of 12 video games. Our answer is 300.
how many ways can a group of 7 adults and 4 children stand in a line if no two children are allowed to stand next to each other?
We can arrange the group in 120960 different ways.
Given,
Number of adults = 7
Number of children = 4
We have to find the number of ways they can stand when no two children are allowed to stand together;
Here,
Arrange 7 adults in a row of 7 ; 7
Number of arrangements = 7! = 5040
Consider that there are four possible placements for a child, but only one youngster can be placed in each of them: on either side of the row of adults, or in between two adults.
Consequently, pick one place for each youngster from the possibilities below: 4 for the first adult, 3 for the second,... the final adult's two options are = 4 × 3 × 2 = 24 arrangements
Add the two groupings together = 5040 × 24 = 120960
Therefore,
There is 120960 ways to arrange the standing position of the group.
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12. A typical large recycling tote can hold 10 kilograms of plastic yogurt containers. What volume is
needed to hold this amount of plastic?
A typical large recycling tote can hold 10 kilograms of plastic yogurt containers. the volume is 0.01 m^3
What volume is needed to hold this amount of plastic?Generally, To determine the volume needed to hold 10 kilograms of plastic yogurt containers, you would need to know the density of the plastic and the size and shape of the containers.
The density of a material is a measure of its mass per unit volume. It is usually expressed in kilograms per cubic meter (kg/m^3). The density of plastic can vary depending on the specific type of plastic and any additives that are present.
Once you know the density of the plastic, you can use the following formula to calculate the volume needed to hold a certain mass of the material:
Volume = Mass / Density
For example, if the density of the plastic is 1000 kg/m^3 and you want to hold 10 kilograms of it, the volume needed would be:
Volume = 10 kg / 1000 kg/m^3
Volume = 0.01 m^3
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THE COMPLETE QUESTION WAS NOT FOUND
What is the area of triangle lmn? round to the nearest square meter. 3 square meters 9 square meters 28 square meters 34 square meters
9 square meters is the area of triangle LMN. Using the concept of Heron's formula.
What is Heron's formula?Heron of Alexandria is credited with creating Heron's formula, which determines a triangle's area by dividing the lengths of its sides. if the side lengths are represented in symbols by a, b, and c.
According to Heron's formula the area = √s (s - a)(s - b)(s - c)
A triangle's semi-perimeter, whose area has to be calculated, is represented by the letter s in Heron's formula. s = (a+b+c)/2 is the formula for the triangle's semi-perimeter, which is the sum of its three sides.
a triangle with three sides, a, b, and c.
given data was LM = 7,MN = 6 and perimeter was given by 16m
As we know perimeter is the sum of all the sides
so, Perimeter=LM + MN + NL
NL=Perimeter-(LM+MN)
NL=16 - 7 - 6
NL= 3
By Heron's formula,
Area = √[(s(s-a)(s-b)(s-c)].
where s = perimeter/2
so, s = 16/2 = 8
area = √[(8(8-7)(8-6)(8-3)]
area = 8.94427191 ≈ 9 square meters.
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Answer: 9m
Step-by-step explanation:
Louisa purchased a new snake for $199.00. Sales tax is 7.25%. What is her total bill? Round your answer to the nearest hundredth.(1 point)
Which system of equations has no solution?
3x + y = 5
6x + y = 5
3x + y = 5
6x + 2y = 7
3x + y = 5
6x + y = 10
√3x + y = 5
O
6x + 2y = 10
PLEASE HELP QUICKLY I GIVE BRAINLIEST
what is the slope if the line that passes through the points (10,8) and (7,14)? write your answer in simplest form
Answer:
-2
Step-by-step explanation:
we use the y2-y1/x2-x1 fomrula to find slope
14-8/7-10
6/-3
-2 is the slope
hopes this helps
Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that costs \$2.75$2.75dollar sign, 2, point, 75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \$11.50$11.50dollar sign, 11, point, 50
The number of boxes of sugar that Alonso can buy are 4.5 boxes.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money.
The money remaining after buying 12 eggs : {r} = $(55 -2.75).
Cost of one box of sugar = $11.5
The number of boxes that he can buy are -
n = (55 - 2.75)/11.5
n = 4.5 boxes {approx.}
Therefore, the number of boxes of sugar that Alonso can buy are 4.5 boxes.
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Create three addition expressions with unlike denominators that are equivalent to the expression below:
6/12+3/12
Answer:
Step-by-step explanation:
3/6 + 1/4, 6/12 + 3/12, 12/24 + 6/24, 18/36 + 9/36
Make b the subject of p=1/2ab^2
Answer:
b = [tex]\sqrt{2p/a}[/tex]
Step-by-step explanation:
The given equation is:
p=1/2ab^2
Multiply by 2 on both sides
2p = ab^2
Then divide by a on both sides,
b^2 = 2p/a
take square root on both sides, then we can get subject of b,
b = [tex]\sqrt{2p/a}[/tex]
Hence, the subject of the given equation make the value of b is b = [tex]\sqrt{2p/a}[/tex]
The subject of an equation is the value that is being solved for. An equation is a mathematical statement consisting of an equality sign (=) between two expressions that have the same value. The expression on the left side of the equality sign is called the left-hand side, while the expression on the right side of the equality sign is called the right-hand side. The left-hand side of the equation can be thought of as what is being solved for, while the right-hand side of the equation can be thought of as the clues or tools that are used to solve for the left-hand side. For example, in the equation 3x + 1 = 7, the subject of the equation is the variable x, which is the value that is being solved for.
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a solid object is made with the combination of a cylinder and cone having the same radii. The height of cylinder is 21cm and the slant height of the cone is 10cm .If the total cost of painting the Total surface of the solid object at the rate of RS 140 per 100 sq cm is RS 1531.20. find the height of the cone.
Step-by-step explanation:
The lateral surface area of a cone is A = π r L, where L = √(r² + h²) is the slant height.
The lateral surface area of a cylinder is A = 2 π r H.
The area of the cylinder's base is A = π r².
The total area is therefore:
A = π r L + 2 π r H + π r²
A = π r² + (π L + 2 π H) r
The total cost of painting the surface is Rs. 1531.20 at a rate of Rs. 140 per 100 cm². Therefore the total surface area is:
A = Rs. 1531.20 / (Rs. 140 / 100 cm²)
A = 1093.71 cm²
Plug in and solve for r:
1093.71 = π r² + (10π + 42π) r
348.14 = r² + 52r
r² + 52r − 348.14 = 0
r = [ -52 ± √(52² − 4(1)(-348.14)) ] / 2
r = [ -52 ± √(52² − 4(1)(-348.14)) ] / 2
r = (-52 ± 64) / 2
r = -58 or 6
Since r > 0, r = 6.
Solve for h:
L² = r² + h²
10² = 6² + h²
h = 8 cm
Go step by step to reduce the radical
Answer:
[tex]3 \sqrt{8} [/tex]
Step-by-step explanation:
1. we are find which factors which when multiplied will give us 192
2. so i took 3 and 64
3. now square root both factors
like this
[tex] \sqrt{3} \times \sqrt{64} [/tex]
4. then you will be left with 3 and a 8
so then we will write that as the answer given above
In the equation y=x2+2x+5 what is the value for y when x equals 3?
The value of y in the equation y=x2+2x+5 when x=3 is y= 20
SimplifySimplifying algebraic expressions is the same idea, except you have variables (or letters) in your expression.
simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving
y=x^2+2x+5
mathematically, x=3
substitute the valve of x=3 into the equation
y= 3^2 + 2(3) + 5
y= (3x3) + 2(3) +5
Evaluate the value of y by adding the numbers together
y= 9 + 6+ 5
y= 20
Therefore, the value of y in the equation y=x^2+2x+5 is 20
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If a fair coin is tossed 5 times, what is the probability, to the nearest thousandth, of getting exactly 3 heads?
The required probability of getting exactly 3 heads is 0.3.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
here,
Total sample space = 2×5 = 10
Favorable outcome (3 heads) = 3
Probability is given of getting exactly 3 heads
= favorable outcome / total sample space
Substitute the value in the above equation
= 3 / 10
= 0.3
Thus, getting the 3 heads while tossing a coin 5 times has a probability of 0.3.
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help me solve this asap emergency
Answer:
a. -4
b. 1/4
Step-by-step explanation:
a. [tex]\textrm{slope}_{||} = \dfrac{\textrm{rise}}{\textrm{run}} = \dfrac{-4}{1} = -4[/tex]
b. [tex]\textrm{slope}_\perp = \dfrac{-1}{\textrm{slope}_{||}} = \dfrac{-1}{-4} = \dfrac{1}{4}[/tex]
What is the m∠ c? Enter your answer as a number.
The measure of angle c is m ∠c = 103°.
What is triangle?
Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The designation "triangle ABC" refers to a triangle with the vertices A, B, and C. When three points are non-collinear in Euclidean geometry, they each produce a distinct triangle and plane.
180 degrees is the sum of the triangle's three angles.
Let Δabc is given with m ∠a = 30° and m ∠b = 37°
We have to find the measure of angle c.
Since the sum of three angles of triangle is 180 degree.
⇒ m ∠a + m b + m ∠c = 180°
30° + 37° + m ∠c = 180°
77° + m ∠c = 180°
m ∠c = 180°- 77°
m ∠c = 103°
Hence, the measure of angle c is m ∠c = 103°.
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he charges $15.75 for 3 hours and $26.25 for 5 hours.
complete the explanation of why the relationship between how much steven charges and time is a proportional relationship.
the rate have the same?
A proportional relationship is when a change in one variable results in a change in the other variable in a consistent manner.
explain why the rate is the same and the link between the amount Steven charges and the passage of time is proportional?similar to direct variation in the form
y = k × x
where,
y = dependent variable
x = independent variable
k = constant.
The relationship between how much Steven charges and time is a proportional relationship because the rate of change between the two variables is constant. This can be seen in the equations:
For 3 hours: cost = 15.75
For 5 hours: cost = 26.25
The rate of change can be calculated by dividing the difference in costs (26.25 - 15.75) by the difference in time (5 hours - 3 hours) which equals a rate of 5.50 per hour. This rate remains constant for all other time increments, making it a proportional relationship.
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if traingle PAG is comgruent to riangle DEN, use words numbers and or symbols to state two conclsuions that can be made based upon cpctc
a flood lamp is installed on the ground 20 feet from a vertical wall. a 6-foot-tall man is walking towards the wall at the rate of 5 ft/s. how fast is the tip of his shadow moving down the wall when he is 5 feet from the wall?
Therefore , the speed of shadow moving down the wall when he is 5 feet from the wall is 8/3 ft/sec.
What does differentiation mean?A method of determining a function's derivative is differentiation. Mathematicians use the technique of differentiation to determine the instantaneous rate of change in a function based on one of its variables. The most typical example is velocity, which is the rate at which a distance changes in relation to time.
Here,
ΔABC & ΔDBE
=> AC/DE = BC/BE
=> h/6 = 20 /20-x
=> h = 120/20-x
Differentiate w.r.t to t
=> dh/dt = [tex]\frac{120}{{(20-x)}^{2} }[/tex] * dx/dt
given the man is walking towards wall at the rate of 5 ft/s
thus, dx/dt =5 ft/s
=>dh/dt = [tex]\frac{120}{{(20-5)}^{2} }[/tex] * 5
=>dh/dt = 8/3 ft /sec
Therefore , the speed of shadow moving down the wall when he is 5 feet from the wall is 8/3 ft/sec.
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Factor by grouping: 16x³ +28x² - 28x - 49 = 0
A) (4x²-7) (4x + 7) = 0
B (4x² + 7) (4x + 7) = 0
C(4x² + 7) (4x - 7) = 0
D (4x² - 7) (4x - 7) = 0
Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is (4x² - 7) (4x - 7) = 0
What is factoring by grouping?Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.
We have the equation,
16x³ +28x² - 28x - 49 = 0
In order to solve the equation by using factor by grouping:
We find common terms in between,
So, we arrange the terms,
16x³ +28x² - 28x - 49 = 0
4x² (4x - 7) -7 (4x - 7) = 0
Here, we have common term (4x-7).
Factor out the common binomial.
(4x² - 7) (4x - 7) = 0
Therefore, (4x² - 7) (4x - 7) = 0 is the factor.
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A shipping container will be used to transport several 50-kilogram
crates across the country by rail. The greatest weight that can be
loaded into the container is 27500 kilograms. Other shipments
weighing 9500 kilograms have already been loaded into the container.
Write and solve an inequality which can be used to determine x, the
number of 50-kilogram crates that can be loaded into the shipping
container.
Answer:
50x + 9500 ≤ 27500
x ≤ 360
Step-by-step explanation:
50x + 9500 ≤ 27500 Subtract 9500 from both sides
50x + 9500 - 9500 ≤ 27500 - 9500
50x ≤ 18000 Divide both sides by 50
[tex]\frac{50x}{50}[/tex] ≤ [tex]\frac{18000}{50}[/tex]
x ≤ 360
Rewrite 3x + 15 as the product of two factors
Answer:
Below
Step-by-step explanation:
3x+15 <==== factor out '3'
3 * ( x+5) done !
5. Which of the following is an arithmetic
sequence?
A
B
C
D
-2, -5, -8, -11, -14, -17, ...
0,5, 0, 10, 0, 15, ...
2, 4, 8, 16, 32, ...
5, 11, 17, 23, 29, 36, ...
Answer:
A. -2, -5, -8, -11, -14, -17, ...
Step-by-step explanation:
The difference between consecutive terms is constant.
What values of b and c make AGHI AZYX?
G
b
||
CE
48
I
b
H
X
17
Y
8c
Z
The value of b = 17 and c = 6 makes ΔGHI ≅ ΔZYX.
What is congruence?
In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.
Here, we have
Given the sides of both the triangle and
we have to find the value of b and c that makes ΔGHI ≅ ΔZYX
b = 17 and,
48 = 8c
c = 6
Hence, the value of b = 17 and c = 6 that makes ΔGHI ≅ ΔZYX.
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write 987.6 in scientific notation
987.6 million written in scientific notation is 9.876 × [tex]10^{8}[/tex]
What is scientific notation?
Scientific notation is basically a shortcut for writing numbers. It is a method of expressing real numbers in terms of a significand, multiplied by a power of 10.
When using scientific notation, you're allowed to simplify all the zeros that you have in the number by writing the number as a product of a number and a power of 10. 987.6 million in exponential form is [tex]a^{b}[/tex], a is the base, and b is called the exponent . The term [tex]a^{b}[/tex] is called the exponential expression. 987.6 million = 9.876 x 100,000,000 = 9.876 ×[tex]10^{8}[/tex].
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Alfreda made a container shaped like a triangular prism, as shown in the diagram.
A
14 in.
4 in.
11 in.
What is the volume of the container in cubic Inches?
The volume of the triangular prism is 308 in³
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Given that, Alfred made a container shaped like a triangular prism,
Given are the dimensions, 14 in., 4 in. and 11 in.
Volume of a triangular prism = BxHxL/2
= 14x4x11/2 = 616/2 = 308 in³
Hence, The volume of the triangular prism is 308 in³
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Solve for j
1 - j/4 = 3
Answer:
j = - 8
Step-by-step explanation:
1 - j/4 - 3
1 is also 4/4
so
4/4 - j/4 = 3
4 - j/ 4= 3
multiply by 4 on both sides
which gets you
-j + 4 = 12
minus 4 from both sides
-j = 8
j = -8
Answer:j=-8 I hope this helps
Step-by-step explanation:
1-j/4=3
Multiply both sides of the equation by 4
which gives you
4-j=12
Move the constant to the right-hand side and change its sign
-j=12-4
Subtract the numbers
-j=8
Change the signs on both sides of the equation
j=-8 - This is your answer
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 1, negative 3) and (0, 0). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (negative 2, 3) and (1, negative 3). Everything to the right of the line is shaded.
A school is planning for an addition in some open space next to the current building. The existing building ends at the origin. The graph represents the system of equations that can be used to define the space for the addition. What is the system of equations that matches the graph?
y ≤ 3x
y > –2x – 1
y > 3x
y ≤ –2x – 1
y < –3x
y ≥ 2x – 1
y > –3x
y ≤ 2x – 1
The system of inequalities that matches the graph is defined as follows:
y ≤ 3x.y > –2x – 1.How to define the system of inequalities?The first solid line has a positive slope and goes through (-1, -3) and (0, 0). Everything to the left of the line is shaded, hence this is the upper bound of the interval, as it is a solid line, it is a closed interval.
This line has an intercept of zero and a slope of 3, as when x increases by one, y increased by 3, hence the constraint is defined as follows:
y ≤ 3x
he second dashed line has a negative slope and goes through (-2, 3) and (1, -3). Everything to the right of the line is shaded, meaning that this is the lower bound of the interval, with an open interval.
When x increased by 3, y decayed by 6, hence the slope of the line is of:
m = -6/3 = -2.
Then:
y = -2x + b.
When x = 1, y = -3, then the intercept is given as follows:
-3 = -2 + b
b = -1.
Thus the constraint is of:
y > –2x – 1.
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Insert terms to make a identity replace *
(15x+*)^2=225x^2+90xy+*
Answer:
3y, 9y²
Step-by-step explanation:
We use laws of binomial
(a+b)²=a²+2ab+b²
From this, we get
15x × * × 2 = 90xy
2×*=6y
*=3y
Now, we square this term to get the last term
3y×3y=9y²
I need help the question > The function f(x)=2-3x Find the value of the number K if kf(3)=7f(2) can anyone help?
The value of k for the function k f( 3 ) = 7 f( 2 ) is 2
What is a Function ?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
According to the given information
We are given with the function
f( x ) = 2 -3x
f ( 3 ) = 2 - 3(3)
= 2 - 9
f ( 3 ) = -7
f ( 2 ) = 2 - 2(2)
= 2 - 4
f ( 2 ) = -2
We are given
k f( 3 ) = 7 f( 2 )
k ( -7 ) = 7 ( -2 )
k = 2
The value of k for the function k f( 3 ) = 7 f( 2 ) is 2
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Figure A is a scale image of figure B.
Figure A maps to figure B with a scale factor of 2 1/2
What is the value of x
The value of x is equal to 2, for the figure A which maps to figure B with a scale factor of 2 1/2 .
What is scale factorScale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller.
From the question, figure A maps to figure B with a scale factor of 2 1/2 which implies that figure B was made bigger by multiplying with 2 1/2 , so we can evaluate for the value of x as follows:
2 1/2 = 5/2
x = 5 ÷ (5/2) {changing division to multiplication}
x = 5 × 2/5 {cancel out 5}
x = 2
Therefore, the value of x is equal to 2, using the scale factor of 2 1/2 for figure A and figure B.
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