5(4x + 3y) = $7.43 × 5
or, 20x + 15y = $37.15 ...(3)
Multiply equation (2) with 4, we get4(5x + 2y) = $7.03 × 4
or, 20x + 8y = $28.12 ...(4)
Subtract (4) from (3), we have20x + 15y-(20x + 8y) = $37.15 - $28.12
or, 7y = $9.03
or, y = $1.29
4x + 3y = $7.43or, 4x + 3($1.29) = $7.43
or, 4x + $3.87 = $7.43
or, 4x = $7.43 - $3.87
or, 4x = $3.56
or, x = $0.89
Answer:
A) $0.89
Hope you could get an idea from here.
Doubt clarification - use comment section.
I need help on this last question
Answer:
They are both correct but they rounded to different places. Scrooge rounded to the nearest whole number while Bon rounded to the nearest tenth.
Step-by-step explanation:
Scrooge rounded up to the next whole number which was three because the tenth place value was 5 or greater.
While Bob on the other hand rounded to the nearest tenth. Which resulted in the number going down because the number in the hundredth place value was less than 5.
The department of education decides to require an additional 2 tests per year of standardized test for all 10th graders. Would this equation be linear or exponential?
Group of answer choices
Exponential
Linear
Find the magnitude of the vector (4,9).
Write your answer in simplified radical form.
Step-by-step explanation:
4^2+9^2=97
Magnitude=sqrt(97)
In simplified radical form, the magnitude of the vector (4, 9) is represented as √97.
How to find the magnitude of a vector?To find the magnitude of a vector (a, b), you can use the formula which is expressed as:
Magnitude = √(a² + b²)
Given the vector (4, 9), let's calculate its magnitude as shown below:
Magnitude = √(4² + 9²)
Magnitude = √(16 + 81)
Magnitude = √97
So, the magnitude of the vector (4, 9) is √97 in simplified radical form.
Learn more about magnitude of a vector on:
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Find the solution set for 15 + 6y > 0, y ∈ . Represent the solution set on the number
line.
Step-by-step explanation:
6y>0-15 collect like term
6y=-15 calculate the difference
y=-15/6 convert to lowest form
y=-5/2
i hop it helps you ❤
PLS HELP WILL MARK YOU BRAINLIEST, NO FAKE ANSWERS!!
Answer:
1. if x + 5 = 12, then x = 7
:Subtraction property of equality
2. If x + y = 20, and y = 5, then x + 5 = 20.
:Substitution property of equality
3. If 2x3 = 11, then 11 = 2x - 3.
:Symmetric property of equality
how to find intersection from -8x+3y=11 and y=3x+4
Answer:
(-1,1)
Step-by-step explanation:
To find where both lines intersect, solve for x and y with substitution.
Equation 1.
-8x+3y=11
Equation 2.
y=3x+4
Substitute y from equation 2 into equation 1.
-8x+3(3x+4)=11
-8x+9x+12=11
x=-1
Now plug x into the second equation to solve for y.
y=3(-1)+4
y=-3+4
y=1
Both lines intersect at (-1,1)
Answer:
(-1, 1)
Step-by-step explanation:
It's somewhat difficult to find the point of intersection when graphing these by hand, but a graphing calculator can show it easily.
The lines intersect at (-1, 1).
__
You are given an expression for y, which makes it easy to use substitution as a solution method. Using the second equation to substitute for y in the first equation, we get ...
-8x +3(3x +4) = 11
x +12 = 11 . . . . simplify
x = -1 . . . . . . . subtract 12
Substituting back into the second equation, we find y to be ...
y = 3(-1) +4 = 1
The lines intersect at (x, y) = (-1, 1).
_____
Additional comment
The slopes are 8/3 and 3. When hand-drawn lines have nearly the same slope, it is difficult to tell exactly where they intersect. Of course, a graphing calculator does not have the problem of finite line width and an apparent long region of intersection. It can pinpoint the intersection exactly.
Of course, "substitution" is not the only way this system of equations can be solved. However, for this system, it is one of the easiest when doing the solution by hand.
[tex](-\frac{3n}{18n^{2} } )^{-18} * (-6n)^{-15}[/tex]
[tex]\left( - \dfrac{3n}{18n^2}\right)^{-18} \times(-6n)^{-15}\\\\\\= \left(-\dfrac{1}{6n} \right)^{-18} \times \dfrac{1}{(-6n)^{15}}\\\\\\=\left[(-6n)^{-1}\right]^{-18} \times \dfrac 1{(-6n)^{15}}\\\\\\=(-6n)^{18} \times \dfrac 1{(-6n)^{15}}\\\\=(-6n)^{18-15} \\\\=(-6n)^3\\\\=-216n^3[/tex]
The sum of Ellie's age and Genya's age is 60. In sex years, Genya will be eight times older than Ellie will be. How old is Ellie now?
Answer:
ellie is 2 and genya is 58, explanation in picture attached
Stephanie has a -$40 balance on her credit card. She makes two additional charges to pay $20 for gas and $25 for parking. Then she makes a credit card payment of $30. What is her remaining balance?
work out the height of a triangular crosse section with the volume of 35cm
The answer is 2.5 cm.
Sorry if I am incorrect
You have two different savings accounts. For account A, the interest earned after 18 months is $12. If the interest rate is 3.2% for account A, how much is the principal? Give the equation and solution you used to solve this problem.
Answer:
P = $250
Step-by-step explanation:
Interest (I) = Principal (P) x Interest Rate (r) x Time (t, in years)
I = Prt
12 = P(.032)(1.5)
12 = .048P
12/.048 = P
P = 250
9 plus 10 equals?
A. 21
B. 21
C. 19
D. 21
Answer:
C 19
Step-by-step explanation:
Answer:
[tex]9+10=19[/tex]
Shape 1 and shape 2 are plotted on a coordinate plané. Which statement about the shapes is true?
Answer:
We need to see all of the choices, but they are congruent and reflected and rotated.
Step-by-step explanation:
Name the marked angle in 2 different ways.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!
Answer: Right angles are 90 degrees. Acute angles are less than 90 degrees. Obtuse angles are greater than 90 degrees, but less than 180 degrees, which is a straight angle, or a straight line.
angle KJL and LJK
is the answer i think
In the first year of production
a play sells 1572 tickets, in its
second year it sells 1753
tickets, in its third year it sells
152 less than in its second
year. How many tickets are
sold in 3 years?
Please add the working out too
Order them from least to greatest
5(exponent 0), 5(exponent 4), and 5(exponent -5)
5^-5, 5^0, 5^4
Explanation:
5^-5 would end up being in the negatives,
5^0 would end up equaling 5 or 0
5^4 is automatically more than 5^0 because 4 is greater than 0.
A class is made up 15 girls and 12 boys. If a group is made up 3 girls and 3 boys, then how many groups can be created?
this is a COUNTING PRINCIPLE problem :")
13.
A?
B?
C?
D?
I’ll check back in whoever is correct here brainlest <3 ignore the stuff at the bottom
Answer:
A
Step-by-step explanation:
[tex]\huge \sf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf {x}^{2} - 10xy + 21 {y}^{2} [/tex][tex] \sf {x}^{2} - 7xy - 3xy + 21 {y}^{2} [/tex][tex] \sf x(x - 7y) - 3y(x - 7y)[/tex][tex] \sf( x - 7y)(x - 3y)[/tex]Hence, the correct choice is ~ A
please solve this problem using the foil method
[tex] {x}^{2} - 9[/tex]
Answer:
This is already in its simplest form, but if you set the equation equal to zero, it's (x-3)(x+3).
Step-by-step explanation:
x^2-9=0
a= 1
b=0
c=-9
Factors of c (-9) that add up to make b (0): -3, 3
(x-3)(x+3)
we know: [tex]a^2-b^2=(a+b)(a-b)[/tex]
So: [tex]x^{2} -9=x^{2} -3^2=(x+3)(x-3)[/tex]
Ok done. Thank to me :>
Use the line of best fit to estimate the French score for a student who got 65 in maths.
Using a linear function, it is found that the estimated French score is of 38.1875.
A linear function has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope.b is the y-intercept.Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).
The slope is given by change in the output divided by the change in the input, hence:
[tex]m = \frac{26 - 65}{90 - 10} = -0.4875[/tex]
Then:
[tex]y = -0.4875x + b[/tex]
Point (10,65) means that when [tex]x = 10, y = 65[/tex], and this is used to find b.
[tex]y = -0.4875x + b[/tex]
[tex]65 = -0.4875(10) + b[/tex]
[tex]b = 69.875[/tex]
Hence:
[tex]y = -0.4875x + 69.875[/tex]
For a student who got 65 in math, x = 65, and hence:
[tex]y = -0.4875(65) + 69.875 = 38.1875[/tex]
The estimated French score is of 38.1875.
For more on linear functions, you can check https://brainly.com/question/16302622
A virus attacked 175,245 people in city A and 1,486,964 people in city B. How many people in all were affected? Thank you in advance:)
1,662,209 is the answer. You just have to add them all up
Answer:
It's 1662209.
Step-by-step explanation:
just add them
if you run 4 1/2 miles in three quarter of an hour, how many miles would you run in two thirds
Answer:4
Step-by-step explanation: each quarter of an hour is 1.5 miles they both can go into 12 so if you multiply 2*4 and 3*4 you get 8/12 and if you multiply 3*3 and 4*3 you get 9/12 then you subtract 9/12 by 8/12 to get so 1/12=1/2 miles so you would subtract 4 1/2 by 1/2 to get 4
2) A gym charges a $30 membership fee and $10 per month. Write an
equation to represent this situation. Find the cost for 5 months. If a new
member paid $160, how many months did they go to the gym?
C = 10m + 30, where C is total cost and m is # of months
C = 10(5) + 30
C = 50 + 30
C = $80
$160 = 10m + 30
160 - 30 = 10m
130/10 = m
m = 13 months
Hope that helps
[tex]\sqrt{x} ^{2}-\sqrt{27}[/tex]
Answer:
[tex]x - 3\sqrt{3} [/tex]
Study hard!
Brainliest please thank you!
Barron's car dealership sold only trucks and vans this week. When Baron looks at the inventory left, he noticed he sold 80 vehicles but only 10 trucks. Select all the statements that are true A This week, the ratio of trucks to vans sold was 1:7. B This week, the ratio of trucks to vans sold was 7:1. C This means for every 7 vans sold, there was 1 truck sold. D This means for every van sold, there were 7 trucks sold. E This means for every 8 vehicles sold, 1 truck was sold.
The correct statement is for every 8 vehicles sold, 1 truck was sold.
Ratio expresses the relationship between two variables. It expresses the number of times one value is contained within another variable.
In this question, the ratio of trucks to vans is 10 : 80. This means that for every 10 trucks that is sold, 80 cars are sold. The given values can be expressed in its simplest form. To do this divide the numbers by 10. This gives the ratio 1 : 8. This means that for every 8 cars sold 1 truck are sold.
A similar question was answered here: brainly.com/question/411732
PLEASE HELP!! WILL GIVE BRAINLY!
Answer:
Step 1: 10 group(s) of 23=230
Step 2: 6 group(s) of 23=138
Step 3: Add the partial quotients: 10 + 6 = 16
Step-by-step explanation:
Patrica earns $12.50 per hour. She saves $3.25 of her hourly pay. What percentage of her hourly salary does she save?
Answer:
26%
Step-by-step explanation:
Well, we need to find what percent 3.25 is of 12.50.
12.50*x=3.25
3.25/12.50=.26
26% is saved.
Read the paragraph. [1] The 1992 Olympic Games took place in Barcelona, Spain. [2] This marked the first year that professional basketball players were permitted to represent their countries in the games. [3] Previously, only amateur players were allowed to participate such as college athletes. [4] The US squad was called “The Dream Team” because it consisted of some of the best players in the history of the game, including Michael Jordan, Magic Johnson, and Larry Bird. Which sentence should be revised to improve this paragraph’s sentence fluency?Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The sentence that needs to be revised to improve the paragraph's sentence fluency is: sentence 3.
The two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
In a grammatical context, the correct usage of punctuation marks and active voice is required and needed to be taken into consideration by the writer for effective communication to the reader.
The correct form of the sentence in sentence 3 should be:
"Previously, only amateur players, like college athletes, were allowed to participate."The inequality given is -3(2x - 5) < 5(2 - x). Using the simple algebraic method to solve the given inequality, we have:
= -3(2x - 5) < 5(2 - x)
= -6x + 15 < 10 - 5x
By collecting the like terms, we have:
= 15 - 10 < -5x + 6x
= x < 5
Therefore, the two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
NOTE: The third question is a repetition of an incomplete question.
Learn more about sentences here:
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Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?
6 boxs she will only have 5 dollors left
also what kind of persom buys 6 pizza boxes for 4 friends
Find x .
Please help I’m begging
Answer:
x = 103
Step-by-step explanation:
Using the far right intersection, we can figure out that in inner angle is 32 degrees.
32 + 34 = 66 which is the angle of the left side of the middle cross.
x = 37 + 66 = 103