let x be the number of ballpoint boxes and y the number of felt tip boxes
so we get
[tex]\begin{gathered} \begin{cases}4.31x+3.42y=98.10 \\ x=3y\end{cases}\rightarrow \\ 4.31\cdot3y+3.42\cdot y=98.10 \\ 12.93y+3.42y=98.10 \\ 16.35y=98.10 \\ y=\frac{98.10}{16.35}=6 \end{gathered}[/tex]so we get that the number of felt tip boxes is 6, and therefore the number of ballpoint boxes is 6*3=18
the number of DVDs shipped to an online retailer was 20000 less that the previous year use an integer to describe the change in number of DVDs shipped
The number of DVDs shipped is, 20000 less that the previous year ,
Therefore, the integer -20000 can be used to describe the change.
please help
Also explain it so my brain gets it :)
Hello!
To solve for the y-values in the table:
[tex]\hookrightarrow \text{ Must plug in the corresponding x's value into the equation}[/tex]
Thus when x = -2[tex]y = 2(-2) + 3 = -4 + 3 = -1[/tex]
Thus when x = 0[tex]y = 2(0) + 3 =3[/tex]
Thus when x = 1[tex]y = 2(1) +3=5[/tex]
Thus when x = 3[tex]y = 2(3) + 3=6 + 3=9[/tex]
Hope that helps!
THERE IS 5 QUESTIONS I NEED TO GET DONE IN TOTAL, BUT IT WONT LET ME PUT MANY PICS IN ONE QUESTION SO PLS GO TO MY ACC AND VIEW THE OTHER 2!!I NEED THIS BY **TODAY**
Answer:
given in picture
Step-by-step explanation:
(-2,10) (-1,7) (0,4) (1,1) (2,-2) (3,-5)
help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer:
a. [tex]y = 21.5x + 376[/tex]
b. [tex]569.5[/tex] or with rounding, [tex]570[/tex].
Step-by-step explanation:
To set up a linear equation in slope-intercept form, we use the formula y=mx+b, where m is slope given by the formula m= [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex], and b is the y-intercept (the value of y when x=0). It is given that x is the year, where 2005 is x=0, and y is the number of assistants in thousands, meaning at x=0 (the year 2005), y=376 (376,000 medical assistants). This can be written as the point (0, 376), which is our y-intercept. Using the formula for slope, the slope of this line is found to be [tex]\frac{215}{10}[/tex], or 21.5 ([tex]\frac{591-376}{10-0}[/tex]). This gives us the equation [tex]y = 21.5x + 376[/tex].
For part (b), simply plug in a value for x, then solve for y. The given value is the year 2014, which can be written as x=9 (x=0 is 2005, x=1 is 2006, etc.). This gives us the equation [tex]y=21.5(9)+376[/tex], which gives us y=569.5. However, since this is a real-world problem, you can not have "half" a person, so this rounds up to 570.
Determine where f(x) is increasing and/or decreasing.
Answer:
decreasing: (-∞,3)
increasing: (3,∞)
Step-by-step explanation:
GRAPH GOES WITH MY QUESTION OF NUMBER 20!!!
Question 20.
If the measure of angle 5 = x, which angles have a measure of 180 - x? Select all the apply.
(a) angle 2
(b) angle 3
(c) angle 7
(d) angle 11
Answer:
C) angle 7
Step-by-step explanation:
all i know is angle 5 and 7 are corresponding angles, the only other practical option could be angle 3 but angle 3 and angle 5 have no correlation with one another
Can you please help me with this problem?
Answer: Draw a line from (2, 2) to (6, 2) for the run.
Draw a line from (6, 2) to (6, 8) for the rise.
The slope of the line is represented by rise/run, so in this case it would be 6/4.
simplify a5/a2. can someone help fast
Answer:
a^3
Step-by-step explanation:
a^5/a^2
When dividing exponents with the same base, we can subtract the exponents
a^ ( 5-2)
a^3
Answer:
a³
Step-by-step explanation:
We know that,
[tex] \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} \\ [/tex]
In the same way, let us solve the given sum.
[tex] \frac{ {a}^{5} }{ {a}^{2} } = {a}^{5 - 2} = {a}^{3} \\ [/tex]
5. Find the area of the triangle.
11 ft
5 ft
14 ft
13 ft
Answer:
35ft
Step-by-step explanation:
ignore 11 and 13, you only need the height and one side that corresponds to it. 14*5=70
70/2=35
Horizontally translated 4 units left, vertically translated 2units down, and shrunk vertically by one half.
Solution
We will consider each and every statement and the translate what it mean appropriately
Horizontally translate 4 units left
That means
[tex](x-(-4))=x+4[/tex]The option to choose is
[tex](x+4)^3[/tex]Vertically translate 2 units down
That basically mean is to subtract 2
That is
[tex]-2[/tex]Shrunk vertically by one half
That is
[tex]a=\frac{1}{2}[/tex]The image below shows what to select
HELP ASAP GIVING ALL THE POAINTS I HAVE LEFT
a container in a shape of a cube uses 64 cubes with side lengths of 1inch to completely fill the container what is the edge length of the container
Translate this sentence into an equation.
Goran's score increased by 18 is 69.
Use the variable g to represent Goran's score.
Answer:
g + 18 = 69
Step-by-step explanation:
Translate this sentence into an equation. Goran's score increased by 18 is 69. Use the variable g to represent Goran's score.
g + 18 = 69
solve:
g + 18 = 69
subtract 18 from both sides:
g + 18 - 18 = 69 - 18
g = 51
Help
Help me simplify this equation
Answer:
-100000
Step-by-step explanation:
[tex](-1000)^{5/3} \\ \\ =(\sqrt[3]{-1000})^5 \\ \\ =(-10)^5 \\ \\ =-100000[/tex]