Answer:
x =2.5 and y=5.5
Step-by-step explanation:
using elimination method
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The point of intersection is (2.4, 5.5).
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 5 is an equation.
3x + 4y = 5 is an equation.
We have,
Two equations.
3x - y = 2 ____(1)
x + 3y = 19 _____(2)
The point of intersection can be calculated as,
From (1) we get,
3x = 2 + y
x = (2 + y) / 3 _____(3)
From (2) we get,
x = 19 - 3y ______(4)
From (3) and (4) we get,
(2 + y)/3 = 19 - 3y
2 + y = 57 - 9y
y + 9y = 57 - 2
10y = 55
y = 55/10
y = 5.5
Now,
From (3) we get,
x = 19 - 3y
x = 19 - 3 x 5.5
x = 19 - 16.6
x = 2.4
Thus,
The point of intersection is (2.4, 5.5).
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8. Makayla and Haylee are selling oranges for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Haylee sold 6 small boxes and 12 large boxes for a total of $330. Makayla sold 12 small boxes and 4 large boxes for a total of $280. a. Write a system of equations that gives the cost of one small box of oranges and one large box of oranges.
b. Find the cost of a small box of oranges and the cost of a large box of oranges
Answer:
x = 55 - 2y
y = 70 - 3x
x = 17
y = 19
Step-by-step explanation:
let x = small box
y = large box
6x + 12y = 330
12x + 4y = 280
6x + 12y = 330
6x = 330 -12y
6x/6 = (330-12y)/6
x = 55 - 2y
12x + 4y = 280
4y = 280 -12x
4y/4 = (280 -12x)/4
y = 70 - 3x
small box cost:
x = 55 - 2y
x = 55 - 2(70-3x)
x = 55 -140 + 6x
x - 6x = -85
-5x = -85
x = 17
large box
y = 70 - 3x
y = 70 - 3(17)
y = 70 - 51
y = 19
add on a number line :(+7). (-7)
Answer:
-8———————0——————————10
-7 7
That’s -7 and 7 on a number line. If you count the — each is one so that is where they would be if you plotted the number line.
Step-by-step explanation:
What’s the answer, pls help me
Answer:
lower left
Step-by-step explanation:
v+3<=6.5
v<=3.5
-18 is less than 3.5
Step-by-step explanation:
It can't be the first one because [tex]v=-18[/tex] and were saying [tex]-v[/tex] and to negatives make a positive so our equation is
[tex]18+3[/tex] ≤[tex]-6.5[/tex] which is incorrect
The one below the first one is incorrect
It's correct since our equation is
[tex]-18+3\leq 6.5[/tex] which is correct
The top right one is correct because our equation is
[tex]18+3\leq 6.5[/tex] which is incorrect
The one below that is correct because our equation is
[tex]-18+3\geq 6.5[/tex] which is incorrect
What is the quotient?
126 divided by 7
A. 18
B.16
C. 19
D. 17
Answer:
A
Step-by-step explanation:
I know that 20 times 7 is 140 and if I take away 2 sevens that leaves 126. So 126 \div 7 = 18
Answer:
A. 18
Step-by-step explanation:
I took a photo of my work I didn't know how I could type that here
Tell me if I'm wrong :)
What is a derivative.
There are 380 female students in a class. Male students make up 60% of the class. What is the total number of students in the class
Answer:
Step-by-step explanation:
If the males make up 60% of the class then
The females make up 100 - 60 = 40% of the class.
Females = 40% * x where x = the class size.
380 = 40/100 * x
380*100 =38000
38000 = 40 x
38000/40 = x
x =950
You can wash a car 1.5 times as fast as your friend. Working together, the two of you can wash 1 car in 6 minutes. How long does it take each of you to wash the car when working alone? Leave your answer as a fraction!
If the two of you can wash 1 car in 6 minutes:
It will take you 10 minutes to wash the car alone
take your friend 15 minutes to wash the car alone
Let the duration you can work be represented by y
Let the duration your friend can work be represented by x
You can wash a car 1.5 times as fast as your friend
That is, y = 1.5x
Working together, the two of you can wash 1 car in 6 minutes
This can be represented by the equation
[tex]\frac{1}{x}+\frac{1}{y} = \frac{1}{6}[/tex]
Substitute x = 1.5y into the equation above
[tex]\frac{1}{1.5y}+\frac{1}{y} = \frac{1}{6}\\\\\frac{1+1.5}{1.5y} = \frac{1}{6}\\\\\frac{2.5}{1.5y} = \frac{1}{6}\\\\1.5y=2.5(6)\\\\1.5y=15\\\\y=\frac{15}{1.5} \\\\y=10[/tex]
It will take you 10 minutes to wash the car alone
Substitute y = 10 into x = 1.5y
x = 1.5(10)
x = 15 minutes
It will take your friend 15 minutes to wash the car alone
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1. Which is the counterexample to the following conjecture?
If a number is divisible by 3, it must also be divisile by 9.
18
21
27
O
54
If 40% of a number is 24, find 10% of that number.
Answer:
6
Step-by-step explanation:
is %
of 100
24 40
x 100
2400/40 equals 60
60 divided by 10 equals 6
I dont know what this is no links please
Answer:
Hamm i think si r or q mm sorry if it's wrong
Step-by-step explanation:
I think the answer would be q
please help what is #4?
To Prove:-
JK=IJ
JK= ½IK = IJ= ½IK
JK= IJ(Equal Distance)
GK//HI (Parallel)
Therefore, JK congruent IJ
Hope This Helps
The quotiont of a number and 12 - 3 = -4
i need to find the equation
Answer:
x ÷ (12 - 3) = -4
x = -36
Step-by-step explanation:
x ÷ (12 - 3) = -4
x = -4(12 - 3)
x = -48 + 12
x = -36
Another Way:
x ÷ (9) = -4
x = -36
-Chetan K
Answer this please I really need help with this i can't do it
Answer:
A 6 km per hour
B 10 min.
Step-by-step explanation:
I just need to fill the 20 character limit
How many 3/4s are in 2? Draw a tape diagram
Answer:
8/3, or 2 if you want a whole number
Step-by-step explanation:
Well, the simple answer is 2/(3/4). This is nothing but 2*4/3, which is just 8/3. (I used the theorem that states that dividing is the same as multiplying by the reciprocal)
what is 10/13 as a decimal rounded to the nearest hundredth
Answer:
.770
Step-by-step explanation:
15/32×16/27 The / stands for a fraction i would just like help please :)
Answer:
(24 × 3 × 5) / (25 × 33) =
((24 × 3 × 5) ÷ (24 × 3)) / ((25 × 33) ÷ (24 × 3)) =
(24 ÷ 24 × 3 ÷ 3 × 5)/(25 ÷ 24 × 33 ÷ 3) =
(2(4 - 4) × 1 × 5)/(2(5 - 4) × 3(3 - 1)) =
(20 × 1 × 5)/(2 × 32) =
(1 × 1 × 5)/(2 × 32) =
5/(2 × 32) =
5/(2 × 9) =
5/18
Math help because I forget
Answer:
R.I.P
Step-by-step explanation:
goodluck doing that
Divide using the division algorithm 392,196 divided by 87
(No long division)
William Kamkwamba, the author of The Boy Who Harnessed the Wind, structured his memoir by first telling about the day the windmill he built first generated electricity, then by telling about the events that led him to build the windmill, and finally by telling about what happened to him after he built the windmill.
This is an example of which type of text structure?
Why does Kamkwamba begin with the day the windmill first generated electricity?
The kind of text structure that was utilized by William Kamkwamba in the story, "The Boy Who Harnessed the Wind" is the Sequential text structure.
William Kwakwamba began with the day the windmill first generated electricity because it was remarkable and is, therefore, the first detail to note in the story.
To understand why this is the right text structure, we need to first understand what text structure is and the characteristics of a sequential structure.
What is Text Structure?Text structure refers to the organization of writing to convey intended meanings.
The sequential text structure follows these processes:
It is a step-by-step account of the events in the story.It can be identified by words such as first, then, and finally.Thus given these explanations of what the sequential text structure is, we can classify the excerpt from William Kamkwamba's "The Boy Who Harnessed the Wind" as sequential.
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In the mystery number problem below, Rosa identified the missing number as 4. Is she correct? How can you check her answer?
(pls help) (pls no link i need to know its real and not a scam)
Answer:
Step-by-step explanation:
she is wrong the right answer is 15.98
Which conditional statement is always logically equivalent to the inverse?
Converse
Conditional
Conjecture
Contrapositive
Answer:
Converse
Step-by-step explanation:
Converse
Ghhhhhhhnbb tggy
Helpppp what is Log70
Answer:
Log 70
What is Log 70? - The value of Log 70 is 1.84509804001. The log base 10 of 70 is the base 10 logarithm of 70 which can be written as log10(70) or lg(70).
What is log10(70) - The logarithm base 10 of a number is its logarithm to the base of 10 where lg(70) = 1.84509804001.
Step-by-step explanation:
log10 70
Result 1.84509804001425
check the attached file pls it might be needed for you !!
Mark brilliant
1) d= rt; t=8, d = 32
A) 24
B)0.3
C)4
D)40
Answer:
C) 4
Step-by-step explanation:
d = rt
plug in
t = 8, d = 32
32 = t(8)
Divide both sides by 8
4 = t
C) 4
18. Write the equation of the following line in function notation
Answer:
[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]
Step-by-step explanation:
Slope:Given the two points from the graph, (-3, 1) and (1, -2). Use these points to solve for the slope using the following formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
Let (x₁, y₁) = (-3, 1)
(x₂, y₂) = (1, -2)
Substitute these points into the formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {-2\: -\: 1}{1\: -\: (-3)}\:=\:\frac {-2\: -\: 1}{1\: +\:3}\:=\frac{-3}{4}}[/tex]
m = -¾
Therefore, the slope of the given line is -¾.
Y-intercept:Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. In order to solve for the y-intercept, we must use the slope, m = -¾, and one of the given points, (1, -2), and substitute these values into the slope-intercept form, f(x) = mx + b:
f(x) = mx + b
-2 = -¾( 1 ) + b
-2 = -¾ + b
Add ¾ to both sides to solve for b:
-2 + ¾ = -¾ + ¾ + b
[tex]\LARGE\mathsf{y-intercept\:(b)\:=\:-\frac{5}{4} }[/tex]
Equation of the Line in Function Notation:Given the slope, m = -¾, and y-intercept, b = [tex]\LARGE\mathsf{-\frac{5}{4}}[/tex], the equation of the line in function notation is:
[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]
Find the perimeter. Simplify your answer.
Answer:
30s-18
Step-by-step explanation:
(10s-8)+(10s-8)+(7s-1)+(3s-1)=?
Combine like terms.
2(10s-8)+(7s-1)+(3s-1)
Remove parentheses.
2(10s-8)+7s-1+3s-1
Collect like terms.
2(10s-8)+10s-1-1
Subtract.
2(10s-8)+10s-2
Factor out 2 from the expression.
2(10s-8+5s-1)
Collect like terms.
2(15s-8-1)
Subtract.
2(15s-9)
Factor out 3 from the expression.
2x3(5s-3)
Multiply.
6(5s-3)
Simplified=30s-18
Hope this helps :)
What is the simplest form of
(2p + 1)(2p - 5)?
Answer:
4p^2-8p-5
Step-by-step explanation:
Answer:
4p^2-8p-5
Step-by-step explanation:
Hope this helps :)
A house on the market was valued at $478,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What is
the current value of the house?
Answer:
$38240 increase$516240 current valueStep-by-step explanation:
Initial value of house is $478000
Change in value is 8% greater:
478000 + 8% = 478000 + 8*478000/100 = 478000 + 38240 =516240We need 8% of Value
[tex]\\ \sf\longmapsto 8\%\:of\;478000[/tex]
[tex]\\ \sf\longmapsto 0.08(478000)[/tex]
[tex]\\ \sf\longmapsto 38240\$[/tex]
Current value:-
[tex]\\ \sf\longmapsto 478000+38240=516240[/tex]
what am i suppost to do with the remainder when dividing fractions
A group of 100 students were asked if they study French Which statements are correct? Check all that apply.
or Spanish in school. The results are shown in this two-
way table.
5 students study both French and Spanish.
63 students study French.
Not
French
French
Total
2 students study neither French nor Spanish.
30 students study French, but not Spanish.
Spanish 5
63
68
63 students study Spanish.
תס
Not
Spanish
30
N
32
Total
35
65
100
Answer:
2 students study neither french or Spanish
How did the equation shift from the parent function? y = f(x - 4).
Answer:
x
=4
y=0 and x=4
x=
f
y
+4
Step-by-step explanation: