Answer:
The x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5
Hence, option A) i.e. -0.5 is correct.
Step-by-step explanation:
Given the system of equations
2.4x - 1.5y = 0.3
1.6x + 0.5y = -1.3
solving the system of equations
[tex]\begin{bmatrix}2.4x-1.5y=0.3\\ 1.6x+0.5y=-1.3\end{bmatrix}[/tex]
Multiply 2.4x - 1.5y = 0.3 by 2
Multiply 1.6x + 0.5y = -1.3 by 3
so the system of equations becomes
[tex]\begin{bmatrix}4.8x-3y=0.6\\ 4.8x+1.5y=-3.9\end{bmatrix}[/tex]
so
[tex]4.8x+1.5y=-3.9[/tex]
[tex]-[/tex]
[tex]\underline{4.8x-3y=0.6}[/tex]
[tex]4.5y=-4.5[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}4.8x-3y=0.6\\ 4.5y=-4.5\end{bmatrix}[/tex]
solve 4.5y = -4.5 for y
[tex]4.5y=-4.5[/tex]
Multiply both sides by 10
[tex]4.5y\cdot \:10=-4.5\cdot \:10[/tex]
Refine
[tex]45y=-45[/tex]
Divide both sides by 45
[tex]\frac{45y}{45}=\frac{-45}{45}[/tex]
Simplify
[tex]y=-1[/tex]
For 4.8x - 3y = 0.6, plug in y = -1
[tex]4.8x-3\left(-1\right)=0.6[/tex]
[tex]4.8x+3\cdot \:1=0.6[/tex]
[tex]4.8x+3=0.6[/tex]
Multiply both sides by 10
[tex]4.8x\cdot \:10+3\cdot \:10=0.6\cdot \:10[/tex]
Refine
[tex]48x+30=6[/tex]
Subtract 30 from both sides
[tex]48x+30-30=6-30[/tex]
Simplify
[tex]48x=-24[/tex]
Divide both sides by 48
[tex]\frac{48x}{48}=\frac{-24}{48}[/tex]
simplify
[tex]x=-\frac{1}{2}[/tex]
or
[tex]x = -0.5[/tex]
Thus,
(x, y) = (-0.5, -1)
Therefore, the x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5
Hence, option A) i.e. -0.5 is correct.
If 5-x=3 then what is 3x^2
• Solution:-
➪ 5 - x - 3 = 0
➪ 5 - 3 - x = 0
➪ 2 - x = 0
➪ 2 = x
Hence, x = 2
Now,
✯ 3x²
➪ 3 × (2)²
➪ 3 × 4
➪ 12Therefore, 3x² will be = 12.
He signed a promissory note with a term of three years the principal was $12,800 with interest at 12.5% how much did BP pay in interest on the note and on the maturity date how much did bo4 principal
Answer:
$48,000
Step-by-step explanation:
Step one:
given data
Principal= $12,800
rate= 12.5%
time = 3 years
Required
The Interest
Step two
SImple interest= PRT/100
substitute
SI= 12800*12.5*3/100
SI=480000/100
SI=$48,000
Melanie and Rena open a joint bank account for their jewelry-making business. Melanie contributes $400 to the account, and Rena deposits 225% as much money as Melanie. Which statements are correct?
Answer:
B,C, D
Step-by-step explanation:
Answer:900
Step-by-step explanation:
Rena deposits 900 into the account
1) Click on the measurement that is equal to 24 kilograms.
+) 240 grams
2,400 grams
24,000 grams
240,000 grams
Answer:
24,000
Step-by-step explanation:
Answer:
24,000
Step-by-step explanation:
Every kilogram is 1,000 grams
Help Asap 15points pic below
Answer:
[tex]\frac{1}{r^{10} }[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ( with n > m )
= [tex]\frac{1}{a^{(n-m)} }[/tex]
Then
[tex]\frac{r^{2} }{r^{12} }[/tex]
= [tex]\frac{1}{r^{(12-2)} }[/tex]
= [tex]\frac{1}{r^{10} }[/tex]
Peter runs laps on the school track every afternoon. He wants to run no more than 60 minutes a day. He can consistently run each lap in 1.5 minutes. Which inequality best represents the situation and represents x, the greatest number of laps Peter could run in a day?
Answer:
1.5x ≤ 60
Step-by-step explanation:
He wants to run no more than 60 minutes a day
No more than means Less than or equal to with the inequality sign of ≤
Each lap = 1.5 minutes.
The greatest number of laps Peter could run = x
Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day
1.5 × x ≤ 60 minutes
= 1.5x ≤ 60
Solving for x
1.5x ≤ 60
x ≤ 60/1.5
x ≤ 40 laps
Hence, the Greatest number of laps = x that he can run is 40 laps
Given that 1 inch = 2.54 cm, how many centimeters are there in 6 feet? Answer may be written using decimal form and should be rounded to the nearest hundredths when necessary.
Answer:182.88cm
Step-by-step explanation:
12in in a foot
12in x 6 ft. = 72in
72in x 2.54cm = 182.88cm
Answer:
182.88
Step-by-step explanation:
6 ft = 72 inches
72(in) x 2.54(cm per inch) = 182.88cm
If 4y = 7x, write the ratio of x to y.
Answer:
7:4 would be the ratio I think
PLSSS HELP
Diego earns $10 per hour babysitting. Assume that he has no money saved before he starts babysitting and plans to save all of his earnings. Graph how much money, y, he has after x hours of babysitting.
Answer:
Hey!
Step-by-step explanation:
Legit just like make a graph like this:
10 | 1
20 | 2
30 | 3
And so on and so forth
a. A new restaurant owner purchased ads
to run in the paper over several days. She
1
1
5
bought two
-page ads, nine
20
-page ads,
1
and five 4 -page ads. What was the total
amount of space that
HELP ASAP!! I WILL MARK BRAINLIEST!! Write an equation for the graph.
Answer:
y = 7/4x
Step-by-step explanation:
All you have to do is find the slope by using the formula change in y divided by change in x of the two points. You can see that y goes up by 14 when x goes up by 8. This means that the slope is 14/8, or 7/4.
The equation would then be y = 7/4x
2x^5-4x^3+6x^8
is this a trinomial with a coefficient of 2 or 6?
Answer:
6
Step-by-step explanation:
Coefficient: A number before the variable such as 4 in 4x.
When there is more than one term with coefficient the leading coefficient is always the one that is in the term with the highest exponent:
2x^5 and 6x^8
^8 is bigger than ^5, so that's the leading coefficient.
which value of x is the solution set of 2(3x-1)≥4x-6
Answer:
-1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
2(3x - 1) ≥ 4x - 6
Step 2: Solve for x
Distribute 2: 6x - 2 ≥ 4x - 6Subtract 4x on both sides: 2x - 2 ≥ -6Add 2 on both sides: 2x ≥ -4Divide 2 on both sides: x ≥ -2Here we see that any value x greater than or equal to -2 would work as a solution.
Ryan buys landscape supplies that total $179.92 before tax. The sales tax amount is $14.39. What percent sales tax did Ryan pay?
Answer:
Step-by-step explanation:
thx for the points
A sporting goods store sold 2.5 times as many footballs as basketballs last year. Drag to represent the number of footballs sold for every 2 basketball sold
Answer:
5 units of football
Step-by-step explanation:
Given that :
2.5 times as many footballs as basket balls is sold;
This means that ; for every unit of basketball sold 2.5 times that unit is the number of football sold ;
Hence, for every 2 basket balls sold, the number of units of football sold is ;
2 * 2.5 = 5 units
this is freckle math can someone help
Answer: 3x60=180x2=360+6/2=83 but you have to factor that she will sometimes fly backwards . Then after you that into count the answer is (2x6=42=54) now that you take "x" and turn it to 6 yoy get (5,4)
Step-by-step explanation:
The two ordered pairs are (0.05, 0.1) and (0.1, 0.2).
The graph is shown below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
y = 4x
y = number of miles
x = number of hours
4 miles per hour.
Now,
The rate is 2 miles per hour.
This means,
y = 2x
Now,
x = 3 minutes = 3/60 hour = 1/20 hour = 0.05 hour
y = 2 x 1/20 = 1/10 miles = 0.1 miles
The ordered pair is (0.05, 0.1)
x = 6 minutes = 6/60 hour = 1/10 hour = 0.1 hour
y = 2 x 1/10 = 1/5 miles = 0.2 miles
The ordered pair is (0.1, 0.2)
Thus,
The ordered pairs are (0.05, 0.1) and (0.1, 0.2).
Learn more about coordinates here:
https://brainly.com/question/13118993
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The model below represents the equation 3x + 2 = 11.
>
D
What is the second step in finding the value of x?
A subtract 2 candies from each side of the model
3 add 2 candies to each side of the model
. subtract 11 candies from each side of the model
divide the candies equally among the 3 cans
Answer:
side
Step-by-step explanation:
When Joseph’s first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50.
Answer:
R(t) = 10 + 0.50t
Step-by-step explanation:
I need help with this.
Answer:show me
Step-by-step explanation:
Tyler says he invented a number puzzle.
He asks Clare to pick a number, and then asks her to do the following:
Triple the number
Subtract 7
Double the result
Subtract 22
Divide by 6
Clare says her final answer is -3. Tyler says her original number she thought must have been 3.
How did Tyler know that? Explain or show your reasoning.
Help me out please an thank you
Solve the equation.
x/-2-17=-7
A.) 48
B.) –2
C.) 14
D.) –20
A rectangle with a perimeter of 9 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.2 with the origin as the center of dilation. If (x,y) represents the location of any point on the original triangle, which ordered pair represents the coordinates of the corresponding point on the resulting triangle?
A. (x + 0.2, y + 0.2)
B. (.2x, .2y)
C. (9x, 9y)
D. (x + 9, y +9)
Answer:
B now give me brain
A (litres)
160
140
120
100
The amount of oil A left in a leaky barrel after
t minutes is shown on the graph alongside.
a Find the gradient and A-intercept of the line.
Interpret your answers.
6 Find the model connecting A and t.
c. How much oil will be left after 15 minutes?
d For what values of t is it reasonable to apply
this model?
80
60
40
20
0
12
6
(minutes)
Answer:
Step-by-step explanation:
Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.
a). Gradient of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{(160-120)}{(0-8)}[/tex]
= -5
A-intercept = 160
b). Linear equation to represent the given relation in the graph will be,
A = (-5)t + 160
c). At t = 15 minutes,
A = (-5)(15) + 160
A = -75 + 160
A = 85 liters
d). This model is applicable till the container gets fully emptied.
For A = 0,
0 = -5t + 160
t = [tex]\frac{160}{5}[/tex]
t = 32 minutes
Therefore, this model is reasonable up to t = 32 minutes.
Which relation is a function?
O {(0, -9), (-2, -3), (-2, 0), (-3, -2)}
{(0, -9), (-9, -2), (0, -3)}
O {(0, -9), (-9, 0), (-3, -3)}
O{0, -9, -2, -3)
Answer: O {(0, -9), (-9, 0), (-3, -3)}
Step-by-step explanation:
PLS help!!
Function 1 is defined by the equation d=-3/7t-4
Function 2 is defined by the following table.
Which Function has a more negative slope?
O function 1
O function 2
O both have the same slope
Answer:
function 2
Step-by-step explanation:
Answer:
Function 2
Step-by-step explanation:
The net of a rectangular prism is shown below. What is the total surface area of the rectangular prism represented by this net?
Answer:
150.88 cm²
Step-by-step explanation:
A rectangular prism also known as cuboid is a three dimensional object with six rectangular faces and eight vertices. It is a prism because it has the same cross section along the length. It is called a rectangular prism because its cross section is rectangular.
The opposite faces of a rectangular prism are equal to each other.
The total surface area (TSA) of a rectangular prism is:
TSA = 2(wl + wh + lh)
where w is the width of the base, l is the length of the base and h is the height of the prism.
From the question, we can see that:
w = 5 cm, l = 7.4 cm and h = 3.1 cm. therefore:
TSA = 2(wl + wh + lh) = 2[(5 * 7.4) + (5 * 3.1) + (7.4 * 3.1)] = 2(37 + 15.5 + 22.94)
TSA = 2(75.44)
TSA = 150.88 cm²
Simplify the expression:
4x2 + 9x + 14 + 4x2 - 2x
ASAP PLEASEEEEEEE
Answer:
8x²+7x+14
Step-by-step explanation:
4x²+4x²= 8x²
9x-2x= 7x
14=14
8x²+7x+14
hope it helps! please mark me brainliest
thank you! have a good day ahead
Josh works 40 hours a week and earns $10 an hour. Calculate Josh’s total earnings and place your answer in the paycheck.
Answer:
He earns $400 weekly and $57.14
Step-by-step explanation:
40*10 = $400
Answer this question plss
correct answer get's brainliest :D
Answer:
C
Step-by-step explanation:
Answer:
The answer is A :)
brainliest pls