Based on the equation, each girl received the following Algebra test scores:
Alyssa's = 86 pointsJennifer's = 94 points.What is an equation?An equation is a mathematical expression that claims that two values are equivalent.
Equations use the equation symbol (=) to illustrate the equality of two or more expressions.
Algebraically, let Alyssa's algebra test score = x
Let Jennifer's test score = x + 8
The total of their two tests = 180
x + x + 8 = 180
2x + 8 = 180
2x = 180 - 8
2x = 172
x = 86 (172/2)
Alyssa's test score = 8 points lower
Shareable points = 172 (180 - 8)
Each received 86 points from the shareable points
Alyssa's test score = 86 points
Jennifer's test score = 94 points
Check:
86 + 94 = 180
94 = 8 points greater than 86
Thus, using an equation, we can conclude that Alyssa scored 86 points on the Alegra test, which is 8 points less than Jennifer's 94 points.
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jermey wants to buy a new computer the sales woman says that he can make a down payment and then pay for the computer in installments here is the formula for this scex=t-yzx= amount down y=money each month z=number of months t= total price rewrite the formula to solve for the total price of the computer
ANSWER:
[tex]t=x+yz[/tex]STEP-BY-STEP EXPLANATION:
We have the following formula for the statement
[tex]x=t-yz[/tex]They ask us to rewrite this formula solving for the total price of the computer, it would be like this:
[tex]\begin{gathered} t-yz=x \\ t-yz+yz=x+yz \\ t=x+yz \end{gathered}[/tex]
What do we call the total area of all exposed surfaces of a geometric solid?
The total area of all exposed surfaces of a geometric solid is called surface area .
What does it mean by surface area of geometric solid ?The area is the entire amount of space filled by flat or two-dimensional objects. In other words, the number of square units that cover the surface of a closed figure is used to represent its area.
It is quantified in square inches, or square units. The area only has length and width since 2-dimensional shapes can be measured using them.
The area is a two-dimensional measurement of the size of a flat surface, whereas surface area is a measurement of a solid shape's exposed surface (three-dimensional).
The main distinction between area and surface area is this. However, both amounts are expressed in square units, which is the same for both. Learn the distinction between area and volume as well.
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Suppose that the functions p and q are defined as follows.
p(x)=x² +6
q(x)=√x+1
Find the following.
(q. p) (3)=
(p.q) (3)=
The most appropriate choice for function can be given by
q[tex]o[/tex]p(3) = [tex]\sqrt{15}+1[/tex]
p[tex]o[/tex]q(3) = [tex]2\sqrt{3} + 10[/tex]
What is function?
A function from A to B is a rule that maps to each element of A a unique element of B.
A is called the domain of the function and B is called the co domain of the function.
We can do addition, subtraction, multiplication, division and composition on functions.
Let f and g be two functions
f[tex]o[/tex]g(x) = f(g(x)) and g[tex]o[/tex]f(x) = g(f(x))
This is known as composition of function.
Here,
[tex]p(x) = x^2 + 6\\q(x) = \sqrt{x} +1[/tex]
q[tex]o[/tex]p(x) = q(p(x))
=[tex]q(x^2+6)[/tex]
= [tex]\sqrt{x^2+6}+1[/tex]
q[tex]o[/tex]p(3) = [tex]\sqrt{3^2+6}+1[/tex]
= [tex]\sqrt{15}+1[/tex]
p[tex]o[/tex]q(x) = p(q(x))
= p([tex]\sqrt{x}+1[/tex])
= [tex](\sqrt{x}+1)^2+6[/tex]
= [tex]x + 1 + 2\sqrt{x} + 6[/tex]
= [tex]x + 2\sqrt{x} +7[/tex]
p[tex]o[/tex]q(3) = [tex]3 + 2\sqrt{3} +7[/tex]
[tex]2\sqrt{3} + 10[/tex]
[tex]2\sqrt{3} + 10[/tex]
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Out of 250 tickets in a raffle, one ticket will win a $980 prize, one ticket will win a $680 prize, and one ticket will win a $470 prize. The other tickets will win nothing. If you have a ticket, what is the expected payoff?
The expected value is given as:
[tex]E(x)=\sum ^{}_{}xP(x)[/tex]then in this case we have:
[tex]\begin{gathered} E(x)=980(\frac{1}{250})+680(\frac{1}{250})+470(\frac{1}{250}) \\ =8.52 \end{gathered}[/tex]therefore the expected payoff is $8.52
will give brainlist
Which graph represents the solution to one half m is greater than or equal to negative seven elevenths?
number line with closed circle on point negative 14 over 11 and arrow shaded to the right
number line with closed circle on point negative 7 over 22 and arrow shaded to the right
number line with closed circle on point negative 14 over 11 and arrow shaded to the left
number line with closed circle on point negative 7 over 22 and arrow shaded to the left
The solution to the inequality is m ≤ -14/11 which is the correct answer would be option (C).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
If it is "> or," the shaded arrow is drawn to the right of the inequality graph; if it is "or," it is drawn to the left.
Given the inequality, -1/2m ≥ 7/11,
Which represents the solution to one-half m is greater than or equal to negative seven elevenths
Solve for m:
⇒ -1/2m(-2) ≥ 7/11(-2)
m ≤ -14/11 [Because we are multiplying both sides by a negative value, the sign shifts]
The solution to the inequality is m ≤ -14/11 which the graph is attached below for m ≤ -14/11.
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What is the actual distance between these two cities in kilometers?
1) Whenever we have problems that deal with the real distance and distance on the map, we can write out the following formula:
[tex]\begin{gathered} Scale=\frac{distance\: on\: the \: map}{real\: distance} \\ S=\frac{3.5}{R} \end{gathered}[/tex]So, let's call the Real distance "R". Note that in this question, 1 centimeter represents 20 kilometers
2) So, in order to plug that as the scale we need to convert kilometers to centimeters:
[tex]\begin{gathered} 1km--100000cm \\ 20km---x \\ x=2000000cm \end{gathered}[/tex]3) Finally, we can plug that into the formula and cross multiply the ratios this way:
[tex]\begin{gathered} \frac{3.5}{r}=\frac{1}{2000000} \\ r=2000000\times3.5 \\ r=7000000cm \end{gathered}[/tex]Converting it back to kilometers we can write:
[tex]\frac{7000000}{100000}=70km[/tex]HELP ASAP I NEED ANSWER NOWW IT'S MISSING PLEASE HELP 50 POINTS
Answer:
Let [tex]g[/tex] equal the number of games.
Let [tex]r[/tex] equal the number of rides
System of Equations
[tex]2.50g+4r=52.50[/tex]
[tex]r=2g[/tex]
Step-by-step explanation:
One game costs $2.50, so [tex]g[/tex] games cost [tex]2.50g[/tex]. One ride costs $4.00, so [tex]r[/tex] rides cost [tex]4r[/tex]. The total [tex]2.50g+4r[/tex] equals $52.50: [tex]2.50g+4r=52.50[/tex]
Since Stella's number of rides she went on is twice the number of games she played, there are two times the number of games for her number of rides. [tex]r=2g[/tex]
what is 1,235,721 + 9,576,345,123
The sum of the two numbers 1,235,721 and 9,576,345,123 is 9,577,580,844 after applying the arithmetic operation.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
= 1,235,721 + 9,576,345,123
The above number expression is representing the sum of two big numbers.
After applying the arithmetic operation on the number expression:
1,235,721 + 9,576,345,123 = 9,577,580,844
Thus, the sum of the two numbers 1,235,721 and 9,576,345,123 is 9,577,580,844 after applying the arithmetic operation.
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How to solve it and how to calculate the gst and pst
Given:-
Given amount is $50.
Price of article is $24.
GST is 7%.
PST is 7%.
To find:-
The remaining amount.
The GST amount is,
[tex]\begin{gathered} 24\times\frac{7}{100}=0.24\times7 \\ \text{ =1.68} \end{gathered}[/tex]The PST amount is,
[tex]\begin{gathered} 24\times\frac{7}{100}=0.24\times7 \\ \text{ =1.68} \end{gathered}[/tex]So the total tax amount is,
[tex]1.68+1.68=3.36[/tex]Now the total amount of the article is,
[tex]24+3.36=27.36[/tex]So the remaining amount is,
[tex]50-27.36=22.64[/tex]So the remaining amount is $22.64
Identify the Terms, Constants, Coefficients and Variables in the following equation
13x + 5y - 2 = 3
13x
From the given equation 13x + 5y - 2 = 3, we can tell that;
Variables are; x and y
Coefficients are; 13 and 5
Constants are; -2 and 3
What are the properties of the Equation?
We are given the equation;
13x + 5y - 2 = 3
A variable is a term that is subject to change and is not fixed. Thus, in our expression, the variables are x and y.
Now, the constants are terms that a single without a variable attached to them. Thus, in our expression, the constants are -2 and 3
The coefficients are basically the numbers that are attached to the variables. Thus, the coefficient of x is 13 and the coefficient of y is 5.
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Describe a series of transformations Matt can perform to device if the two windows are congruent
Congruent shapes are produced by combining the three different transformations—rotations, reflections, and translations. Actually, by combining one or more of these three transformations, any pair of congruent shapes can be matched to one another.
What are transformations?A point, line, or geometric figure can be transformed in four different ways, each of which alters the shape and/or placement of the object. While Image refers to the position and ultimate shape of the object, Pre-Image refers to the shape of the thing as it was before alteration.
Given Data
We now understand that the size and shape of the figures are preserved during stiff transformations (reflections, translations, and rotations). The pre-image and the actual image concur all the time.
The following Matt's transformational skills:
Reflection
Since the reflection maintains its original shape, The line of reflection remains the same distance away from comparable points from the pre-image to the image.
As a Congruence Transformation, rotations
Rotating a figure causes it to twist. Even though the figure is the same size and shape as before, it appears to have toppled over. A clock is a fantastic example of how the earth actually rotates. Every hour or every day, the clock's connecting arms revolve around their axis. A rotation's degree determines what it is, and common rotations include 90, 180, and 270 degrees. Before going back to its original position, the figure rotates a full 360 degrees. the direction of a rotation, whether it is counterclockwise or clockwise. It is possible to determine the degree, amount, and the revolution's direction.
Transformation based on translational congruence
When an object or shape is transported from one location to another without changing its size, shape, or orientation, the movement is referred to as a translation. During a translation, also known as a slide, every point on an object or shape is moved by the same amount and in the same direction.
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Write the value of 17 tens in three different ways. Use the largest unit possible.
Answer:
1 and 7 and 0
Step-by-step explanation:
Write your answer as a fraction or as a whole or mixed number 3 7/10 * 4 5/6
Answer:
17 53/60
Step-by-step explanation:
Question 2 (4 points)y = x|d: {-8, -3, 4,7} {Blank 1:Blank 2:Blank 3:Blank 4
r: {8, 3, 4, 7}
Explanation:
y = |x|
domain = -8, -3, 4, 7
domain are the x values or input
r = range
Range are the y values or output
when x = -8
y = |-8| = 8
when x = -3
y = |-3| = 3
when x = 4
y = |4| = 4
when x = 7
y = |7| = 7
r: {8, 3, 4, 7}
blank 1 = 8
blank 2 = 3
blank 3 = 4
blank 4 = 7
Determine algebraically ifthe function is even, odd, or neither.f(x)=3x-2
A function is even if
[tex]f(-x)=f(x)[/tex]A function is odd if
[tex]f(x)=-f(x)[/tex]For the given question, we will test for both even and odd conditions
Step 1: Test for an even condition
[tex]\begin{gathered} f(-x)=3(-x)-2 \\ f(-x)=-3x-2 \\ \sin ce \\ f(-x)\ne f(x) \\ it\text{ is not an even function} \end{gathered}[/tex]Step 2: Test for an odd function
[tex]undefined[/tex]white ratio as a rate with a denominator of 1 2,400 copies in 3 minutes
Answer
Rate = 800 copies per minute
Explanation
Work = rate x time
Work = 2400 copies
Time = 3 minutes
Rate = work / time
Rate = 2400 / 3
Rate = 800 copies per minute
Therefore, rate is 800 copies per minute
Model the following problem with a quadratic equation. Then solve.Find the length of a side of a square with an area of 50 ft?.Model the problem with a quadratic equation. Let x be the length of a side of the square.
The area of a square is equal to the squared of one side.
[tex]A=x^2[/tex]Using the given data, we can have the quadratic equation of
[tex]x^2\text{ -50 = 0}[/tex]We can solve for x in 2 ways
[tex]\begin{gathered} x^2\text{ = 50} \\ x\text{ = }\sqrt[]{50}\text{ = 7.07} \end{gathered}[/tex]Or by using the quadratic formula
[tex]undefined[/tex]What shape is generated when SABC is rotated around the vertical linethrough B and C?4ABA. PrismB. PyramidC. CylinderD. Cone
A triangle, when rotated about one of its sides will generate a solid in a form of a Cone.
The cone could be a hollow one or a solid-filled one, depending on the properties of the triangle being rotated.
Therefore, the shape generated is a cone.
Answer: D.
or each ordered pair, determine whety=5x-315x-3y=9(2,7)(-1,– 8)(3,4)(0,-9)
Which inequality represents the compound inequality x > 3 and x < 5
Given:
x > 3 and x < 5
The inequality compound is:
[tex]3Answer: 3 < x < 5write the coordiantes of twrite the coordinates of the vertices after a rotation 270 degrees counterclockwise around the origin D( 1,5) D'( )E (1,10) E' ( )F ( 10,10) F' ( ) G ( 10,5) G' ( )
A rotation of 270 degrees counterclockwise is the same as a rotation 90 degrees clockwise.
This rotation will make a point from the first quadrant go to the fourth, from the second to the first, from third to second and from fourth to third.
If the point goes from the first quadrant to the fourth, we change the signal of the x-coordinate.
If the point goes from the second quadrant to the first, we change the signal of the y-coordinate.
If the point goes from the third quadrant to the second, we change the signal of the x-coordinate.
If the point goes from the fourth quadrant to the third, we change the signal of the y-coordinate.
Also, in all those rotations, we need to switch the x and y coordinates between themselves.
So we have that:
[tex]\begin{gathered} D(1,5)\to1st\text{ quadrant}\to D^{\prime}=(1,-5) \\ E(1,10)\to1st\text{ quadrant}\to E^{\prime}=(1,-10) \\ F(10,10)\to1st\text{ quadrant}\to F^{\prime}=(10,-10) \\ G(10,5)\to1st\text{ quadrant}\to G^{\prime}=(10,-5) \end{gathered}[/tex]Which of the following statements is false?A. In the ordered pair (3, 7), 3 is the x-coordinateB. The point (0,5) is on the y-axis.OC The horizontal distance between the point located at (3,7) and the point located at (6, 7) is 3unitsOD. In the ordered pair (9.7), 7 is the x-coordinate,
Answer:
D. In the ordered pair (9,7), 7 is the x-coordinate
Explanation:
The ordered pairs have the form (x, y) where the first number is the x-coordinate and the second number is the y-coordinate. So, in the ordered pair (9, 7), 7 is the y-coordinate. This makes the last statement false and the answer is
D. In the ordered pair (9,7), 7 is the x-coordinate.
PLS HELP!!!!!
TRUE OR FALSE:
A single cube with a side of 1cm has the same surface-to-volume ratio as a structure containing 8 cubes with sides that equal 1cm (remember that surface of a cube with a side A is 6A2cm2 and the volume is A3cm3).
Answer:
the answer is true
Step-by-step explanation:
plsssssss i need hdelpppppp plss 20 points on the line
Answer:d is the correct answer.
Step-by-step explanation:
Quadrilateral ABCD has coordinated a(-4,3) b(-3,6) c(0,8) d(-2,5). Prove that quadrilateral ABCD is a parallelogram and explain whether quadrilateral ABCD is a rectangle or not.
Quadrilateral ABCD has coordinate
A(-4, 3) , B(-3, 6) C(0,8) & D(-2,5)
so we will find the length of the sides
[tex]AB=\sqrt[]{(6-3)^2+(-3-(-4))}^2=\sqrt[]{9+1}=\sqrt[]{10}[/tex]for CD
[tex]CD=\sqrt[]{(5-8)^2+(-2-0)^2}=\sqrt[]{9+4}=\sqrt[]{13}[/tex]as we can see AB and CD is not equal to Quadrilateral is not equal.
now we compute the midpoint of the diagonals
midpoint of
[tex](x,y)=(\frac{-4-3}{2},\frac{3+6}{2})=(-\frac{7}{2},\frac{9}{2})[/tex]Sarah got a $60 gift card to Walmart. She uses the gift card to buy orange juice for $4.50. She also wants to use the gift card to buy shirts. Each shirt costs $2.29. Write an inequality to describe this situation, where n is the number of shirts Sarah wants to buy?Please answer quick, will give 18 points
ANSWER
[tex]4.50+2.29n\le60[/tex]EXPLANATION
We have that Sarah got a $60 gift card to use in Walmart.
This means that everything she can buy cannot be worth more than $60 (i.e. less than or equal to $60).
She buys orange juice for $4.50 and she wants to buy shirts (which cost $2.29 each)
Let n be the number of shirts Sarah wants to buy.
This means that the cost of n shirts is $2.29n.
Recall that she can only spend less than or equal to $60. This means that the sum of the cost of the orange juice and n shirts is less than or equal to $60.
That is:
[tex]4.50+2.29n\le60[/tex]That is the inequality that represents the situation.
A toy store would like to open a new store in the city of Thousand Oaks, and they would like to know what proportion of households have kids. Out of 100 households sampled, 28 had kids. Based on this, to construct a 90% confidence interval for the true population proportion of Thousand Oaks households with kids, you need to use which one of the following calculators?
Answer: 55
Step-by-step explanation: It makes sense
I dont know how to solve this , I am not familiar with it and am confused.
a) We have to calculate the total reimbursement.
We can list the types of lunches and reimbursements for each:
0. Free lunches: the school served 29,000 free lulnches and will receive $2.68 for each one.
,1. Reduced-price lunches: the school served 19,000 reduced-price lunchs and will receiv $2.28 for each one.
,2. Full price lunches: the school seved 51,000 regular-price lunches and will receive $0.25 for each one.
Then, we can calculate the total reimbursement as:
[tex]\begin{gathered} R=29000\cdot2.68+19000\cdot2.28+51000\cdot0.25 \\ R=77720+43320+12750 \\ R=133790 \end{gathered}[/tex]The lunch reimbursement should be $133,790.
b) The milk reimbursement can be estimated as $0.035 per lunch, so it can be calculated as:
[tex]\begin{gathered} M=(29000+19000+51000)\cdot0.035 \\ M=99000\cdot0.035 \\ M=3465 \end{gathered}[/tex]The milk reinbursement is $3,465.
c) We can calculate the total reinbursement as the sum of the lunch reinbursement and the milk reinbursement:
[tex]R+M=133790+3465=137255[/tex]The total reinbursement is $137,255.
d) We can calculate the average reinbursement per lunch dividing the total reinbursement by the number of lunches:
[tex]\frac{T}{L}=\frac{137255}{99000}\approx1.39[/tex]The average reinbursement is $1.39 per lunch.
Pls help I really need this!!!
For what values of x is the function
positive?
y = |x +4|-1
Answer: x > -3 or x < -5
Step-by-step explanation:
The function is positive when y > 0.
So if we make this function into an inequality, we can solve for the values of x.
0 < |x + 4| -1
1 < | x + 4 |
Absolute values make the answer always positive despite the sign so now we have to solve for x when x + 4 > 1 and when x + 4 > -1.
x = 1 - 4 = -3
x = -1 -4 = -5
So for the function to be positive,
x > -3 or x < -5
Which is true about investments and risk?
Answer:
Every investment carries some degree of risk, All investments carry some degree of risk. Stocks, bonds, mutual funds, and exchange-traded funds can lose value, even all their value, if market conditions sour. Even conservative, insured investments, such as certificates of deposit (CDs) issued by a bank or credit union, come with inflation risk. They may not earn enough over time to keep pace with the increasing cost of living.
Step-by-step explanation: