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Related Questions
Select the type of equation
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The type of equation is equivalent.
What are equivalent equation?Equation systems that have the same solutions are said to be equivalent. A useful skill in both algebra class and daily life is the ability to recognize and solve comparable equations. View several illustrations of comparable equations, learn how to solve them for one or more variables, and consider how you may apply this knowledge outside of the classroom.
Algebraic equations with equal solutions or roots are said to be equivalent.An equation is equivalent if the same quantity or expression is added to or subtracted from both sides.An analogous equation is created by multiplying or dividing both sides of a non-zero equation by the same number.To know more about equivalent equations ,visit:
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Patrick bought his recliner on sale for 3x + 1 dollars. To replace his recliner now, it would cost Patrick 5x - 3 dollars. Write an expression that represents the difference in the price of the replacement recliner and the original recliner?
Answers
The expression for the difference the price of the original recliner and the replacement recliner will be;
⇒ (2x - 4)
What is mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Original price of the recliner = (3x + 1) dollars.
Replacement price of the recliner = (5x - 3) dollars.
Now,
The difference of the price of the original recliner and the replacement recliner will be calculated as;
⇒ Replacement recliner - Original recliner
⇒ (5x - 3) - (3x + 1)
⇒ 5x - 3 - 3x - 1
⇒ 2x - 4
Therefore, The expression for the difference the price of the original recliner and the replacement recliner will be;
⇒ (2x - 4)
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Solve this or I will eat all of your pickles
Also I will mark brainliest :)
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A club is selling snacks at a track meet. Oranges cost $1 each and protein bars cost $4 each. They sell 100 items and collect 304. Describe what the solution means in the context of the situation. Explain your thinking
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By writing and solving a system of equations, we will see that the club sold 32 oranges and 68 bars.
What the solution means?Here the solution will be the number of oranges and protein bars sold.
Let's define:
x = number of oranges.
y = number of bars.
We know that they sell 100 items and win a total of $304, then we can write the system of equations:
x + y = 100
x*$1 + y*$4 = $304
Isolating x on the first equation we get:
x = 100 - y
Replacing that in the other equation we get:
(100 - y)*$1 + y*$4 = $304
$100 - y*$1 + y*$4 = $304
y*$3 = $304 - $100 = $204
y = $204/$3 = 68
y = 68
And the value of x is:
x = 100 - y = 100 - 68
x = 32
That is the solution, x = 32 and y = 68.
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is the median of a data set is the same whether you order the set from greatest to least or least to greatest?
Answers
The value of median will be same.
Given:
The objective is to determine whether the median of a data set is same or not while ordering from greatest to least or least to greatest.
There are two possible data sets, which is even number of sets or odd number of sets.
If the number of sets (n) is even, consider two terms,
[tex]\frac{n}{2}\text{ and }\frac{n+1}{2}[/tex]Then, the average of these two numbers will gives the median of the even sets.
If the number of sets (n) is odd, the median can be calculated as,
[tex]\frac{n}{2}[/tex]Hence, the value of median will be same, even if the order of the sets are arranged greatest to least or least to greatest.
The side lengths of a square are each 5p. By adding 1 to the length and subtracting 1 from the width, a rectangle is made. What is the area of the rectangle?the options are in the photo—>
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we have that
1) a square
side length=5p
L=5p
W=5p
2)
adding 1 to the length ------> L=5p+1
subtracting 1 from the width ------> W=5p-1
Find out the area
A=L*W
substitute
A=(5p+1)*(5p-1)
A=25p^2-1 ----> by difference of squares
therefore
the answer is option fourthA booth at the State Fair recorded the number of items sold in the chart below. What is the ratio of lemonade and sodas sold to the number of candy bars sold?
Answers
Answer:
7:6
Step-by-step explanation:
add the amount of lemonade and soda together, that is 42.
so you have 42:36.
you need to simplify it, so you divide 42 / 2 = 21
then you divide 36 / 2 = 18.
so now you have 21:18.
then you divide 21 / 3 = 7
then you divide 18 / 3 = 6.
so therefore, your answer is 7:6.
hope this helped:)
Find the equation of the given line,Find the equation of the line passing through (2, 1) with slope 3.у =
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Tori, this is the solution to the exercise:
Step 1: Let's remember that this is a case that we can solve using the following equation form:
y = mx+b, where m is the slope and b is the y-intercept.
Step 2: Solving for b:
y = mx + b
We replace x and y with the coordinates:
1 = 3 * 2 + b
1 = 6 + b
b = 1 - 6
b = - 5
Step 3: Therefore, the equation of the line that passes through the point (2,1) with a slope of 3 is:
y = 3x - 5
In April, Mrs Ezeaku bought a bag of corn
for N2400. When she wanted to buy more in
June, she found that she could only buy 3/5
a bag for N2400. What was the percentage
increase in price from April to June
Answers
The percentage increase in price from April to June to Mrs Ezeaku, based on the cost of the bag is 66.7%
How to find the percentage increase?First, find the price of a bag in June. If 3/5 of a bag costs N2,400, then a full bag would be:
= Cost of proportion / Proportion of bag
= 2, 400 / (3 / 5)
= N4, 000
The percentage increase from April to June is:
= ( Price in June - Price in April) / Price in April x 100%
= ( 4, 000 - 2, 400) / 2, 400 x 100%
= 1, 600 / 2, 400 x 100%
= 66.7%
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U = {1,2,3,4,5,6,7,8}, A={2,4,5}, B = {1,4,7,8}, C = {3,6,8}. (Use the roster method to write the set. enter EMPTY for the empty set) A U (B U C)
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U = {1,2,3,4,5,6,7,8}, A={2,4,5}, B = {1,4,7,8}, C = {3,6,8}. (Use the roster method to write the set. enter EMPTY for the empty set)
A U (B U C)
step 1
Find out B U C
we have
B = {1,4,7,8}, C = {3,6,8}
so
B U C={1,4,7,8} U {3,6,8}={1,3,4,6,7,8}
step 2
Find out A U (B U C)
A U (B U C)={2,4,5} U {1,3,4,6,7,8}={1,2,3,4,5,6,7,8}=set U
therefore
the answer is
{1,2,3,4,5,6,7,8}what is the distance between points (4,0) and (0,3)1 unit 5 unit7 unit25 unit
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We want to find the distance between the points:
[tex](4,0)\text{ and }(0,3)[/tex]For doing so, we remember the formula of the distance between two points:
[tex]d(P,P^{\prime})=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]Where P(x₁,y₁) and P'(x₂,y₂). Applying the formula we get:
[tex]\begin{gathered} d=\sqrt[]{(4-0)^2+(0-3)^2} \\ =\sqrt[]{4^2+3^2} \\ =\sqrt[]{16+9} \\ =\sqrt[]{25} \\ =5 \end{gathered}[/tex]This means that the distance between the points (4, 0) and (0, 3) is 5 units.
The mean length of 4 childrens' index finger is 8.7cm.
The mean length of 11 adults' index finger is 13.4cm.
What is the mean length (rounded to 2 DP) of these 15 people's index finger?
Answers
The mean length (rounded to 2 DP) of these 15 people's index finger is 12.15 cm.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that:
The mean length of 4 children's index fingers is 8.7cm.
The mean length of 11 adults' index fingers is 13.4cm.
The mean of 15 people = [8.7x4 + 13.4x11]/15
The mean of 15 people = [34.8 + 147.4]/15
= 182.2/15
= 12.1466 cm
= 12.15 cm
Thus, the mean length (rounded to 2 DP) of these 15 people's index fingers is 12.15 cm.
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I have a partial sum question for a geometric sequence picture included
Answers
Solution
The partial sum of the arithmetic sequence with a = 3, d = 8
[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex][tex]\begin{gathered} S_{13}=sum\text{ of the arithmetic sequence where n = 13} \\ S_{13}=\frac{13}{2}(2(3)+(13-1)8) \\ S_{13}=6.5(6+12(8)) \\ S_{13}=6.5(6+96) \\ S_{13}=6.5(102) \\ S_{13}=663 \end{gathered}[/tex]Therefore the partial sum of the arithmetic sequence = 663
Please help me asap I need assistant
Answers
Answer:
In order from left to right: Apple, Mango, Grapes, Kiwi, Banana
Step-by-step explanation:
The one furthest left is the only one that goes above 50, so it has to be apple at 55. The one next to it falls between 20 and 30, so it is going to be Mango at 25. The one next to it lies between 30 and 40, so it will be Grapes at 35. The next one falls exactly at 10, so it is Kiwi. And finally, the only one left is Banana, which is good because the bar sits at 50.
Hope this helps
Answer:
Red: Apple, Green: Mango, Blue: Grapes, Pink: Kiwi, Purple: Banana
Step-by-step explanation:
The y-axis (Number of votes) shows how many families voted for a specific fruit, using the bar graph you can connect the dots and figure out which graph is which :) Ex: Red is apple because the bar stops right between 60 and 50 showing to be halfway between the two which is 55, and apple received 55 votes.
X^2+y-9=0 test for symmetry
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We have three tests of symmetry. In respect to the y-axis or in respect to the x-axis, or in respect to the origin.
For symmetry with respect to the Y-Axis, check to see if the equation is the same when we replace x with −x:
[tex]x^2+y-9=(-x)^2+y-9=0[/tex]Since the equation remains the same when we change the sign of the x variable, the equation is symmetric in respect to the y-axis.
For symmetry with respect to the X-Axis, check to see if the equation is the same when we replace y with −y:
[tex]x^2+y-9\ne x^2+(-y)-9=x^2-y-9[/tex]Since the equation does not remains the same when we change the sign of the y variable, the equation is not symmetric in respect to the x-axis.
The equation is symmetric with respect to the origin if for every point (x,y) that satisfies the equation, the point (-x, -y) also satisfies the equation.
[tex](-x)^2+(-y)-9=x^2-y-9\ne x^2+y-9[/tex]Since it doesn't satisfies this condition, the equation is not symmetric with respect to the origin.
amy, becky, caroline, and dan are each trying to save $200 for a new phone. the chart shows how much each of them currently have and how much they are saving each week. show all work and explain your steps
A. How much money will Amy have in 3 weeks? Write the expression you use to solve.
B. Write an expression telling how much Amy will have in x number of weeks.
C. Who will be the first person to save $200 and how long will it take?
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A) In 3 weeks, Amy will have $121.
B) An equation that shows the amount of savings Amy will have in x number of weeks is 100 + 7x.
C) Becky is the first person to save $200 in 11.5 weeks.
What is an equation?An equation is a mathematical statement that two or more mathematical expressions share equality in their values.
Equations depict the fact that two or more expressions have the same or equivalent values using the equation symbol (=).
The total amount of savings required for a new phone = $200
Amy's savings in x weeks = 100 + 7x
Becky's savings in x weeks = 85 + 10x
Caroline's savings in x weeks = 94 + 8x
Dan's savings in x weeks = 110 + 7x
Amy's savings in 3 weeks = $121 ($100 + 7(3)
Amy:If 100 + 7x = 200
7x = 100
x = 14.3
= 14.3 weeks
Becky:If 85 + 10x = 200
10x = 115
x = 11.5
= 11.5 weeks
Caroline:If 94 + 8x = 200
8x = 106
x = 13.25
= 13.25 weeks
Dan:If 110 + 7x = 200
7x = 90
x = 12.86
= 12.86 weeks
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1 The midpoint of AB is M. If the coordinates of A are (2,-6) and the coordinates of Mare (5, -1), find the coordinates of B.
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The midpoint of two points is given as
(x1 + x2)/2, (y1 + y2)/2
Given that the coordinates of the midpoint are (5, -1), let the coordinates of point B be x2 and y2
(2 + x2)/2 = 5
2 + x2 = 10
x2 = 10 - 2
x2 = 8
(-6 + y2)/2 = -1
-6 + y2 = -2
y2 = -2 + 6
y2 = 4
The coordinates of B are (8,4)
The dosage of a cold medication is 2 mg for every 80 lb of body weight. How many milligrams of this medication are required for a person who weighs 140 lb? mg
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Let x represent the amount of milligrams required for a person who weighs 140 lb.
We were told that the dosage of a cold medication is 2 mg for every 80 lb of body weight. The equations would be set up as shown below
2 = 80
x = 140
By crossmultiplying, we have
x * 80 = 2 * 140
80x = 280
We would divide both sides of th equation by 80. We have
80x/80 = 280/80
x = 3.5
Therefore, 3.5 milligrams of this medication are required for a person who weighs 140 lb
Find the distance between -4 and 2.
is it 6 or -2
Answers
Answer:
6
Step-by-step explanation:
-4 -3 -2 -1 0 1 2
Consider the first three terms of the arithmetic sequence 9,14,19Determine d , the common difference Find the nth term, TnDetermine T9, the 9th term in the sequence
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The common difference, d = 5
[tex]\begin{gathered} T_n=5n+4 \\ T_9=49 \end{gathered}[/tex]Explanation:The given sequence is:
9, 14, 19
The common difference is the difference between the consecutive terms of the sequence.
The common difference, d = 14 - 9 or d = 19 - 14
Therefore, the common difference, d = 5
The nth term of an Arithmetic sequence is given by the formula:
[tex]T_n=a+(n-1)d[/tex]where the first term, a = 9
The common difference, d = 5
Substitute a = 9, and d = 5 into the nth term formula above
[tex]\begin{gathered} T_n=9+5(n-1) \\ T_n=9+5n-5 \\ T_n=5n+4 \end{gathered}[/tex]The 9th term in the sequence is calculated by substituting n = 9 into the nth term gotten above
[tex]\begin{gathered} T_n=5n+4 \\ T_9=5(9)+4 \\ T_9=45+4 \\ T_9=49 \end{gathered}[/tex]Find the price of one candy bar if sixteenth candy bars cost $128
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sixteen candy bars cost $128
Divide the cost by 16 to get the price of one candy bar.
[tex]\frac{128}{16}=8[/tex]Therefore the answer is $8
Answer:
$8 per candy bar
Step-by-step explanation:
128/16 = 8
What is the area of triangle ABC?The area of triangle ABC is___ in²
Answers
ANSWER:
187.5 in^2
STEP-BY-STEP EXPLANATION:
We know that the area of a triangle is equal to the base times the height divided by 2
In the figure we have these values
The base is 3 squares that is 15 inches and the height is 5 squares that is 25 inches since each square measures 5 inches
The area is
[tex]A=\frac{b\cdot h}{2}=\frac{15\cdot25}{2}=\frac{375}{2}=187.5[/tex]The area of the triangle is 187.5 square inches
The function f(x) = 3|x| is translated to create the function g(x) = 3|x| + 4. What is the vertex of g(x)?
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The function f(x) = 3|x| is translated to create the function g(x) = 3|x| + 4.
the vertex of g(x) is (0,4)
This is further explained below.
What is the vertex?Generally, The equation for the function given is mathematically given as
g(x)=3|x|+4
To find the x coordinate of the vertex, set the inside of the absolute value x equal to 0 .
In this case, x=0. x=0
Replace the variable x with 0 in the expression.
y=3|0|+4
Simplify 3|0|+4
y=4
In conclusion, The absolute value vertex is (0,4).
(0,4)
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(18−4²+2)²1÷4⋅1/2 please help
Answers
Answer:
70 8/9
Step-by-step explanation:
I think that is correct answer. I don't know if it is correct.
Find the values at the 25th and 60th percentiles for the data set. The value at the 25th percentile is_____.
Answers
Answer:
25th percentile: 5
60th percentile: 12
Explanation:
To find the percentile, we need to organize the data from lowest to greatest, so
1 3 4 4 5 6 6 7 8 8 9 12 14 15 17 17 19 20 20 20
Therefore, there are 20 values in the data set.
The position of the 25th percentile can be calculated as:
[tex]\frac{25(n)}{100}=\frac{25(20)}{100}=5[/tex]Then, the position of the 25th percentile is 5th. In this case, the number in this position is 5 so the 25th percentile is 5
In the same way, we can calculate the position for the 60th percentile as follows:
[tex]\frac{60(n)_{}}{100}=\frac{60(20)}{100}=12[/tex]Then, the position of the 60th percentile is the 12th. In this case, this value is 12, so the 60th percentile is 12.
So, the answers are:
25th percentile: 5
60th percentile: 12
4y + 12 = 0Find two points on the line to be graphed
Answers
Given the line:
[tex]4y+12=0[/tex]We simplify to have:
[tex]\begin{gathered} 4y=-12 \\ y=-\frac{12}{4} \\ y=-3 \end{gathered}[/tex]The line y=-3 is a horizontal line passing through y=-3.
Two points on the line that can be graphed are:
[tex]\begin{gathered} (1,-3) \\ (5,-3) \end{gathered}[/tex]You can pick any value of x. The value of y has to remain constant.
10. Written as the product of two binomials, the expression (x+3)(4x-1)-(x+3)(x-9) is(1) (2x+6) (3x – 10)(3) (x+3)(3x+8)(2) (x+3)(x-10)(4) (2x+6)(3x+8)
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As a product of two binomials, the expression provided in the question would now be written as follows;
[tex]undefined[/tex]On a math test, a group of students received the following scores:68, 98, 86, 75, 86, 94, 75, 81,75Find the MEAN of the test scores.
Answers
Answer
Mean of the score is 82
Explanation
Given the following set of data
68, 98, 86, 75, 86, 94, 75, 81, 75
Mean = summation of all the data / frequency of the data
Frequency = n
n = 9
Mean = 68 + 98 + 86 + 75 + 86 + 94 + 75 + 81 + 75 / 9
Mean = 738 / 9
Mean = 82
Therefore, the mean of the score is 82
Answer:
82
Step-by-step explanation:
68+98+86+75+86+94+75+81+75=738
738/9=82
Tina has a pet sitting business. She charges a flat service fee of $20, plus $15 per day for each animal. If one of her customersspent less than $110 on one animal, which of the following inequalities could be used to solve for x, the number of days thecustomer paid for pet sitting?
Answers
If the initial fee is $20 and additionally $15 is charged per day, then the total amount is given by:
[tex]A=20+15x[/tex]Where "x" is the number of days and "A" the total amount to pay. Since the total amount is less than $110, then we have the following inequality:
[tex]20+15x\le110[/tex]This is the inequality that can be used to determine the value of "x".
Can someone please help me:
what does X equal in this linear equation?
Directions:
Graph the following linear equation
(I will give 100 points)
please hurry
Answers
X equal to 5 in this linear equation
What is linear equation ?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
0 = x - 5
x = 5
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