Answer: Paco bought 7 markers and 8 pencils.
Step-by-step explanation:
Let's define the variables:
P = number of pencils that Paco bought
M = number of markers that Paco bought.
We know that P + M = 15.
We also know that each pencil costs $0.30 and each marker costs $1.25, and the total price for the whole purchase is $11.15
Then:
P*$0.30 + M*$1.25 = $11.15
Then we have the system of equations:
P + M = 15
P*$0.30 + M*$1.25 = $11.15
To solve this, we can start by isolating one of the variables in the first equation, let's isolate P.
P = 15 - M
Now we can replace this in the second equation to get:
(15 - M)*$0.30 + M*$1.25 = $11.15
$4.50 - M*$0.30 + M*$1.25 = $11.15
$4.50 + M*$0.95 = $11.15
M*$0.95 = $11.15 - $4.50 = $6.65
M = $6.65/$0.95 = 7
Then paco bough 7 markers, and we can find the number of pencisl by the equation:
P + M = 15
P = 15 - M = 15 - 7 = 8
Then Paco bought 7 markers and 8 pencils.
Simplifying radicals! Please help me & Show WORK
Answer:
Solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]
Step-by-step explanation:
We need to simplify the radical: [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex]
Prime factors of 18 are: 2x3x3
Replacing [tex]\sqrt{18}[/tex] with its factors
[tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3\times3})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3^2})[/tex]
We know that [tex]\sqrt{3^2}=3[/tex]
[tex]=4\sqrt{2}(-4\sqrt{15}+3\times3\sqrt{2})\\=4\sqrt{2}(-4\sqrt{15}+9\sqrt{2})[/tex]
Multiplying [tex]4\sqrt{2}[/tex] with terms inside the bracket
[tex]=4\sqrt{2}(-4\sqrt{15})+4\sqrt{2}( 9\sqrt{2}))\\=-16\sqrt{2}\sqrt{15}+36\sqrt{2} \sqrt{2}[/tex]
We know that [tex]\sqrt{2} \sqrt{2}=2[/tex]
[tex]=-16\sqrt{2*15}+36(2)\\=-16\sqrt{30}+72[/tex]
So, solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]
V
P
A
4 Here is an explanation that the angle sum of triangle ABC is 180°.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°
С
B
5 Show that the interior angles of this shape add up to 360°.
Answer:
Step-by-step explanation:
360
which equation shows that the pythagorean identity is true for Ø=pi? select the equation that is the form sin^2(pi)+cos^2(pi)=1
a.0^2 +1^2=1
b.0^2 +(-1)^2=1
c. 1^2+0^2=1
d.(-1)^2+0^2=1
Answer: For This Specific Question it is B, But there is a question very similar that doesn't have the pi's in the equation and the answer to that one is A.
Step-by-step explanation: Very sorry if this is confusing :)
Pythagorean identities are three basic identities for trigonometric ratios. The equation that is of the form [tex]\sin^2(\pi) + \cos^2(\pi) =1[/tex] is given by: Option B: [tex]0^2 + (-1)^2 = 1[/tex]
Equations which shows that the Pythagorean identities are true will be verifying them for some specific angles. For that we need to know about Pythagorean identities.
What are Pythagorean identities?[tex]sin^2(\theta) + cos^2(\theta) = 1\\\\1 + tan^2(\theta) = sec^2(\theta)\\\\1 + cot^2(\theta) = csc^2(\theta)[/tex]
Using the first Pythagorean Identity to get one of its special case
For angle being [tex]\pi[/tex] radians(or equal to 180 degrees), we have:
[tex]sin(\pi) = 0\\cos(\pi) = -1[/tex]
Thus, for the first Pythagorean identity at angle [tex]\pi[/tex] radians, we get:
[tex]sin^2(\pi) + cos^2(\pi) = 1\\\\0^2 + (-1)^2 = 1[/tex]
Thus, the equation that is of the form [tex]\sin^2(\pi) + \cos^2(\pi) =1[/tex] is given by: Option B: [tex]0^2 + (-1)^2 = 1[/tex]
Learn more about Pythagorean identities here:
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Alexander is a stockbroker. He earns 12% commission each week. Last week, he
sold $5,400 worth of stocks. How much did he make last week in commission? If he averages that
same amount each week, how much did he make in commission 2011?
Answer:
A) $648 B) $33,696
Step-by-step explanation:
attached
someone please help me!!! ill give brainliest
PLEASE HELP NOBODY EVER ANSWERS MY QUESTIONS Rip van Winkle has fallen asleep for a very long time.
The length of his beard (in millimeters) as a function of time (in weeks) is graphed.
How long was Rip van Winkle's beard when he fell asleep?
Answer:
10 millimeters
Step-by-step explanation:
Don't listen to the other answerer who was trolling, I will actually help you. To find how long his beard was when he fell asleep, we need to find the y-intercept. The y-intercept marks how long his beard was right when he fell asleep. From looking at the graph, we can see that the y-intercept is 10. This means his beard was 10 millimeters long when he fell asleep. I hope this helps!
Answer:
10 meters
Step-by-step explanation:
if you look at the start os the graph, I shows that the Y intercept is 10, therefore, the answer is 10 meters.
- a friendly 8th grader :)
A waiter earned a 7% tip. What decimal is equivalent to 7%?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
Please someone help me.
Answer:
Option C is the only correct answer.
Step-by-step explanation:
We can see from the number line that a is to the left of zero, so it is negative. This means option A is incorrect.
Since b is to the left of zero, b is also negative. This means that -b is positive. Since c is to the left of zero, c is negative. Therefore, option B is incorrect: a negative number can never be greater than a positive number.
We see from the number line that a is less than c. Since both a and c are negative, this implies that -a > -c. Therefore, option C is correct.
1) Given: H is the midpoint of EG
mZE = mZG
G
D
Prove: ADEH - AFGH
H.
E
F
It is E
Duhhhhhhhhhhhhh
What subfield of mathematics requires the most spatial reasoning?
No answer needed, just need to get rid of all my points.
Answer:
brainlest?
Step-by-step explanation:
......
Answer: I looked it up and got a couple of answers of spatial reasoning. Don’t know if that helps but yeah thats what I got lol
Step-by-step explanation:
Calculate the value of k for which the polynomial equation f(x)=x^3-kx+12 has the root of x=-4
If x = -4 is a root of f(x), then dividing f(x) by x + 4 leaves a remainder of 0.
Compute the quotient,
(x³ - kx + 12) / (x + 4)
x³ = x² • x, and
x² (x + 4) = x³ + 4x²
Subtract this from the dividend (f(x)) to get an initial remainder of
(x³ - kx + 12) - (x³ + 4x²) = -4x² - kx + 12
-4x² = -4x • x, and
-4x (x + 4) = -4x² - 16x
Subtract this from the previous remainder to get a new one of
(-4x² - kx + 12) - (-4x² - 16x) = (16 - k) x + 12
(16 - k) x = (16 - k) • x, and
(16 - k) (x + 4) = (16 - k) x + 64 - 4k
which gives the next remainder,
((16 - k) x + 12) - ((16 - k) x + 64 - 4k) = 4k - 52
4k - 52 does not divide x, so we're done and what we've shown is
f(x) / (x + 4) = x² - 4x + 16 - k + (4k - 52)/(x + 4)
(just gathering the bold terms above and the last remainder)
The remainder should be 0, so that
4k - 52 = 0
4k = 52
k = 13
-3(2+4k)+7(2k-1)
A. 2k-13
b. 8k-13
c. 2k+13
d. 2k-7
9514 1404 393
Answer:
A. 2k -13
Step-by-step explanation:
-3(2 +4k) +7(2k -1)
= -6 -12k +14k -7 . . . . . . eliminate parentheses
= (-12 +14)k -6 -7 . . . . . . group like terms
= 2k -13 . . . . matches choice A
Don’t worry about the one at the bottom BUT HELP MEEEEE
Answer:
e. 79/30 f. 18.2
Step-by-step explanation:
The length of a picture frame is 1cm less than twice the width(frame is NOT a square). The area is 28cm^2. Find the length and width of the picture frame.
Answer:
length is 7cm, and the width is 4cm
Step-by-step explanation:
The length of a picture frame is 1cm less than twice the width(frame is NOT a square). The area is 28cm^2. Find the length and width of the picture frame.
The area of the frame = Length * Width
A = LW
If the length of a picture frame is 1cm less than twice the width, then;
L = 2W - 1
Substitute into the formula;
A = (2W-1)W
A = 2W^2 - W
28 = 2W^2 - W
2W^2 - W - 28 = 0
2W^2 - 8W +7W- 28 = 0
2W(W-4)+7(W-4) = 0
2W+7 = 0 and W - 4 = 0
W =- -7/2 and W = 4
Width cannot be negative
W = 4cm
Since A = LW
L = A/W
L = 28/4
L = 7cm
Hence the length is 7cm, and the width is 4cm
plz answer it as fast as you can
Answer:JL=MO
Source:trust me bro
What is the first step in evaluating the expression shown below?
(12.9 – 3.1) × 6.2 – 2 + 43
A. Multiply 3.1 and 6.2
B.Add 2 and 43.
C.Subtract 3.1 from 12.9
D.Subtract 2 from 6.2.
HELPPPP
Answer:
C.Subtract 3.1 from 12.9
Step-by-step explanation:
brainest plz
C(x) = 5x^2 + x + 7 and
d(x) = x^2 – 10
d(c(3))
Answer:
d(c(3))=30I5
Step-by-step explanation:
C(3)=5×9+3 +7=55
d(c(3))= ( 55)^2-10= 3O 15
Sas asa sss aas or hL (7-11)
Answer:
Step-by-step explanation:
7) S A S
8) A A S
9) HL
10) A S A
11)A S A
Please help me:):):)
Answer:
c - 8 ≥ 25
Step-by-step explanation:
7, 12, 10, 18, 13, 23, 29, 15, 16, 18, 15, 12, 20
find the outlier. explain your answer.
Answer:
29
Step-by-step explanation:
the rest of the numbers are closer to each other but if you plot these you see that 29 doesnt belong
A heating pad takes 5,657 Watts during each time it is turned on. If you only use it for 28 minutes, how much CO2 was created? Round to 1 decimal.
Answer: 2.6 pounds of CO₂
Step-by-step explanation:
1 kilowatt per hour produces 0.99 pounds of C02.
The watts used was;
= (5,657 * 28/60 hours) / 1,000
= 2,639.93333333
In kilowatts;
= 2,639.93333333/1,000
= 2.6399333 kilowatts
CO2 produced;
= 2.6399333 * 0.99
= 2.613533967
= 2.6 pounds of CO2
A carnival sold 450 tickets on Saturday. The ticket sales showed that 126 of the ticket sales were adult tickets. What percent of the tickets sold on Saturday were adult tickets?!PLEASE ANSWER!!!
Answer:
28%
Step-by-step explanation:
hope this helps, have a good day
TIME REMAINING
41:17
What is the value of
due of (3-54(2)-16-2?
040
-16
ООО
24
56
Sigr
Answer:
700th
Step-by-step explanation:
vhzjjb zetas CD kinda cos dsuskskxn BBC bxhxjcjjdjdjjcfjjfjfjbdhduudjthfhhff&hdjdjjff#jfjjffj#
#enaa garntiii
Reduce the ratio to the lowest term: 60 : 75
Answer:
4 : 15 is the answer for 60 : 75 to the lowest term
1) A person can pay $16 for a membership to the science museum and then go to the
museum for just $3 per visit. What is the maximum number of visits a member of the
science museum can make for a total cost of $37?
visits
Please hurry
7 visits
Step-by-step explanation:
All I did was minus 16 from 37 to get 21, then divided that by 3.
which graph represents the solution to this inequality
Answer:
C
Step-by-step explanation:
Answer
it is: C
Step-by-step explanation:
There are 4 sharks and 5 dolphins. Write the ratio of sharks to dolphins. Then find and interpret the value of the ratio.
Answer:
here is the ratio 1 : 1.25 (sharks: dolphins)
Step-by-step explanation:
The ratio of sharks to dolphins is 4 : 5
How to obtain real measurements from the ratio of two measurements?Suppose the real measurements were "a" and "b"
This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.
Thus, a = px, b = qx
Given Number of sharks = 4
Number of dolphins = 5
Therefore, the ratio of sharks to dolphins
= 4 : 5
Or 1 : 1.25
Number of animals = number of sharks + number of dolphins
Number of animals = 4 + 5 = 9
Learn more about ratio here:
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#SPJ2
Solve the following ineg
a) x² - 5x +4> 0
2
Answer:
Inequality form: x<1 or x>4
Interval Notation:
(-∞,1)∪(4,∞)
I hope this helps you
help asap Its distributive property so 6x55 i need the second part how to write it out like
(and then) a number + some other number and then what it equals 5th grade math
Answer:
I don't know exactly what you need but I have two ways.
Step-by-step explanation:
if you need to make an example: 6x55+ 6(3f-12)= or something along those lines.
or if you just need that answer then 330
I'm sorry if that's not what you were wondering
Bargains warehouse has 3 shirt special. Christina bought 3 shirts on sales for $35.97 if she would have only bought one shirt, she would have paid $16.24. How much money is Christina saving on each shirt by buying 3 shirts on a special?
Answer:
12.75 Its correct
Step-by-step explanation:
Answer:
12.75
Step-by-step explanation: