Answer:
Each pen costs $3.60 (Each calculator costs $14.20).
Step-by-step explanation:
Let c represent calculator
Let p represent pen
3c + 7p = 67.8
6c + 2p = 92.4
Step 1: Solve 3c + 7p = 67.8 for c:
3c + 7p = 67.8
3c + 7p + −7p = 67.8 + −7p (Add -7p to both sides)
3c = −7p + 67.8
3c/3 = −7p + 67.8/3 (Divide both sides by 3)
c = −7/3p + 22.6
Step 2: Substitute −7/3p + 22.6 for c in 6c + 2p = 92.4:
6c+2p=92.4
6(−7/3p + 22.6) + 2p = 92.4
−12p + 135.6 = 92.4 (Simplify both sides of the equation)
−12p + 135.6 + −135.6 = 92.4 + −135.6 (Add -135.6 to both sides)
−12p = −43.2
−12p/−12 = −43.2/−12 (Divide both sides by -12)
p = 3.6
Step 3: Substitute 3.6 for p in c = −7/3p + 22.6:
c = −7/3p + 22.6
c= −7/3(3.6) + 22.6
c = 14.2 (Simplify both sides of the equation)
Answer:
c = 14.2 and p = 3.6
Hope this helps and have a great day :)
And please mark me brainliest if you can :)
FIND THE QUADRATIC FUNCTION DETERMINED BY EACH TABLE
X -2 -1 0 1 2 3
Y 4 0 -2 -2 0 4
Answer:
x² - x - 2 = 0
Step-by-step explanation:
plotting the graph of x and y,we have that the root of the equation is -1 or 2
x = -1 or 2
the eqn therefore is;
x² - (sum of the root)x + (product of the root) =. 0
x² - (-1+2)x + (-1*2) = 0
x² - x - 2 = 0
Applying the Factor Theorem, it is found that the quadratic function is:
[tex]p(x) = x^2 - x - 2[/tex]
------------------------
The Factor Theorem states that if a polynomial [tex]p(x)[/tex] has roots [tex]x_1, x_2, ..., x_n[/tex], it is described by the following equation:
[tex]p(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]
In which a is the leading coefficient.
For this quadratic function, the roots are [tex]x_1 = -1, x_2 = 2[/tex], as [tex]y(-1) = y(2) = 0[/tex], thus:[tex]p(x) = a(x - (-1))(x - 2)[/tex]
[tex]p(x) = a(x + 1)(x - 2)[/tex]
[tex]p(x) = a(x^2 - x - 2)[/tex]
When x = 0, p(x) = -2, and we use this to find a.
[tex]p(x) = a(x^2 - x - 2)[/tex]
[tex]-2 = a(0^2 - 0 - 2)[/tex]
[tex]2a = 2[/tex]
[tex]a = \frac{2}{2}[/tex]
[tex]a = 1[/tex]
Thus, the quadratic function is:
[tex]p(x) = x^2 - x - 2[/tex]
A similar problem is given at https://brainly.com/question/24380382
Sam went to the store because she needed 5 1/2 cups of flour for a recipe. She already had 2 1/3 cups at home. How much flour will she Need for the recipe?
Answer:
3 1/6
Step-by-step explanation:
5 1/2 = 5 3/6
-
2 1/3 = 2 2/6
_____
3 1/6
A scientist discovered a new type of bacteria that will grow at a rate of 3 cells every 2 seconds. If the scientist starts with one bacteria cell in a petri dish, what equation could predict the amount of cells in the dish after x seconds? Please help me
Answer:
1.5 x cells
Step-by-step explanation:
3 cells every 2 second
1.5 cells per second
therefore
after x seconds there ll be 1.5 *x number of cells
=1.5x cells
I have very little points left and yes i know sad right but im BEGGING for somebody to please help me. the questions are With the points A(-4, -2) B(1, -3) C(2, -6) D(-1, 7). What are the coordinated of A' if the scale factor of dilation is 3? **Express your answer as (#,#) with no spaces.** *
PLEASE HELP ME PLEASE PLEASE PLEASE!!
Answer:
so to scale (or dilate) it by three you would multiply each of the numbers in your point by three. In this case that means A' would be (-12,-6)
Step-by-step explanation:
hope this helps :)))
Help me plz with this question
Answer:
y= -6x+23
Step-by-step explanation:
perpendicular: opposite signs and reciprocal
m= 1/6 and y-intercept = 23
y= -6x+23
What is the missing reason in step 6
Answer:
What is step 6
Step-by-step explanation:
Come up with an example for a solid, liquid, and gas describing the particle movement.
Answer:
Ice Cube, Liquid Water, and Steam
Step-by-step explanation:
An example of a solid is a ice cube, the particles are compacted together and there's very little movement.
An example of a liquid is water, the particles are more spread around and the movement is more frequent.
An example of a gas is steam, the particles are anywhere, moving fast and sporadic.
-6=n-4n
tfytfytffuygyguyftuiy
Answer:
2=n
Step-by-step explanation:
-6=n-4n
1. n-4n is -3
2. new equation (-6=-3n)
3. Divide: -6 and -3 =2 to get the n by itself
4. final answer 2=n
Is 379 in the sequence below?
5,7,9,11,13.......
Annabelle is ordering a taxi from an online taxi service. The taxi charges $2 just for the pickup and then an additional $1.50 per mile driven. How much would a taxi ride cost if Annabelle is riding for 6 miles? How much would a taxi ride cost that is mm miles long?
Answer:
$11Step-by-step explanation:
Step one:
given
Taxi charges =$2
Additional charges =$1.50 per mile driven
Step two:
Required
The cost of the ride for a 6miles long drive
let the number of miles be x
and the total charges be y
The cost function is expressed as
[tex]y=1.5x+2[/tex]------------1
hence for x=6
y=1.5(6)+2
y=9+2
y=11
Therefore the cost of a 6miles drive will be $11
in the scatterplot there is a
Answer:
i dont see anything
Step-by-step explanation:
Answer:
you didnt add a pic
Step-by-step explanation:
3 (1 - x)=2 (-4x + 7)
Solve for X.
Answer:
x = 11/5
Step-by-step explanation:
3-3x = -8x +14
5x = 11
x= 11/5
Missy bought her car for $27,000. Alice bought the exact same car for 7% less than Missy. How much less did Alice pay?
А.
$1890
В.
$8100
C
$18,900
D
$25,110
Answer:
A
Step-by-step explanation:
7%=0.07
27,000 MULTIPLIED by 0.07=1890
Alice paid: 25,110
wayne recorded how much his pet snake,slithers, grew over the past few months. this list shows how much slithers grew each month?
Answer:
Where is the list?
Step-by-step explanation:
why is it not recommended to scuba dive in the morning and fly home the same afternoon ?
HELP! BRAINLIEST ANSWER!
Answer:
6. 5x - 2
7. 13in
8. 3a + 20
9. 21 1/2
explanation:
6. add all of the values together
7. plug in 3 into the answer from #6 5(3) - 2 and you will get 13
8. add all values
9. plug in 1/2 into the answer from #8 3(1/2) + 20 and you will get 21 1/2
Can somebody help me with this? Will mark brainliest!
Answer:
2. A reflection of the y axis followed by a translation.
Step-by-step explanation:
ABC was reflected across the y-axis and then translated down.
symbolize is the use of a symbol to:
A(describe a character)
B(represent an abstract idea)
C(represent a concrete thing)
D(compare two different things)
Answer:
B(represent an abstract idea)
Step-by-step explanation:
A symbol is a stylistic figure whose essence is to use a word or phrase to refer to another, usually abstract term, to which it refers.
What symbolism means in every sphere is precisely the reference by one term to another term that symbolizes.
A symbol consists of a concrete material designation which refers to some abstract concept.
Answer:
b is correct give the person above brainlist :)
Step-by-step explanation:
If a/b= 8 and ac -5 = 11, then bc =?
Answer:
bc = 2
Step-by-step explanation:
From [tex]a/b = 8[/tex]
[tex]a=8b[/tex] (times b on both sides)
We can then substitute [tex]a[/tex] for [tex]8b[/tex]:
[tex]ac-5=11[/tex] (given equation)
[tex]8bc-5=11[/tex]
[tex]8bc=16[/tex]
[tex]bc=2[/tex]
I hope this helps :)
what is the LCM of 80
so is the question right?
Answer:
Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.
Step-by-step explanation:
5 5/12 + 1.75 in fraction form.
Write the fraction in simplest form.
43/6
multiply the decimals 12.5 multiply 1.4
Answer:
17.5
Step-by-step explanation:
Answer:
17.5
Step-by-step explanation:
Can someone help me with systems of equations, (graphically)
Answer:
Step-by-step explanation:
You would use -6 and 7 to start your line. With the equation “y=5/6x+7", you would put a dot on 7. Then you would use the 5/6 to start making your line. With fractions, it's always rise/run. Starting from 7, you go up 5 then over(right) 6 until you run out of room on the graph. Then you do the opposite, down 5 then back(left) 6. Then you should have your first line. Then repeat that for the next equation. Start at -6, go down 4 and back three until you run out of room on the graph, then do the opposite. Go up 4 and over 3.
Let me know if this is confusing!
-1/3a - 1/2b - 3/4 + 1/2b - 2/3 + 5/6a
Answer:
look at the pic i sent
Step-by-step explanation:
Evaluate 9/m + 4 when m=3
Answer:
7
Step-by-step explanation:
Which answer choice shows 34.498 rounded to the nearest half?
A. 34
B. 34.5
C. 35
D. 35.5
Answer:
34.5
Step-by-step explanation:
follow me say a thanks mark me branliest
Hi, I need help for part c, please!
Answer:
35 mph
Step-by-step explanation:
The answer should be the average speed it takes to drive, so you would find the average of the speed to go to A with the speed to go to B. You already have the two answers for part A and B, so you would add them, then divide them by 2. It would look like this:
[tex]\frac{30+40}{2} =\frac{70}{2} =35[/tex]
So it would be 35 mph
Find the slope: y=23x+10
Answer: 23
Step-by-step explanation:
Victoria reads at a constant rate of 10 pages in 16 minutes. Use the ratio table to find out how long it would take him read 35 pages.
Answer:
to read 16pages need 46 minutes
9935÷2.76243 hello
Answer:
9935÷2.76243
3596.47122
round it to any place values your question or anythings asks for
Answer:
3596.4712228
Step-by-step explanation: