Answer:
The number of black ink pen are 15 pens.
Step-by-step explanation:
As given
Jared bought a package of pens containing 20 pens.
[tex]if\ \frac{3}{4}\ of\ the\ pens\ have\ black\ ink.[/tex]
Thus
[tex]Number\ of\ black\ ink\ pens = \frac{3}{4}\times Total\ number\ of\ pens[/tex]
Putting the value
[tex]Number\ of\ black\ ink\ pens = \frac{3}{4}\times 20[/tex]
Number of black ink pens = 3 × 5
= 15 pens
Therefore the number of black ink pen are 15 pens.
Jared has 15 pens with black ink, which is calculated by multiplying 3/4 by the total number of pens he has (20 pens).
To determine the number of pens with black ink that Jared has, you need to multiply the total number of pens by the fraction representing the pens with black ink. Jared has a package containing 20 pens, and 3/4 of these have black ink. Here's how you calculate it:
Find the fraction of pens with black ink: 3/4 of the pens.
Multiply this fraction by the total number of pens: 3/4 × 20 pens.
Calculate the product to find the number of pens with black ink: 3/4 × 20 = 15 pens.
Therefore, Jared has 15 pens that contain black ink.
provide explanation w answer. correct answer gets BRAINLIEST!!!
Answer:
x = 8
y = 1
Step-by-step explanation:
Slope = difference in y values / corresponding difference in x values
Slope = (9 - 5) / (x - 10) = -2
-2x + 20 = 4
x = -16 / -2 = 8 (answer)
Question 4
(y - 6) /(1 - 2) = 5
y - 6 = -5
y = 1 (answer).
Find the perimeter of the regular parallelogram.
Answer:
Approx. 48 cm
Step-by-step explanation:
The two horizontal sides of this parallelogram have length 12 cm each.
The length of one slanting side can be estimated by (eye: the base of the triangle partially outlined with a dashed line is approx. 3 cm. Then, using the Pyth. Thm., we estimate the hypotenuse of this triangle to be
sqrt(3^2 + 10^2), or sqrt(109), which is approx. 10.45.
Thus, the estimated perimeter is
P = 2L + 2W, which, here, is
P = 2(12 cm) + 2(10.45 cm), or 44.9 cm.
The fourth answer, 48 cm, is the one closest to this estimated 44.9 cm.
Wpisz odpowiednie liczby: 1 cm2=...........mm2 9 cm2=...........mm2 5,2 cm2=............mm2 1 dm2 =...........cm2 17dm2=........... cm2 4,3 dm2=............ cm2 1m2=...........cm2 7m2=...........cm2 2,5m2=...........cm2 1km2=............m2 50km2=...........m2 8,5km2............m2
Answer:
1 cm^2 = 100 mm^2
9 cm^2 = 900 mm^2
5.2 cm^2 = 520 mm^2
1 dm^2 = 100 cm^2
17 dm^2 = 1700 cm^2
4.3 dm^2 = 430 cm^2
1 m^2 = 10000 cm^2
7 m^2 = 70000 cm^2
2.5 m^2 = 25000 cm^2
1 km^2 = 1000000 m^2
50 km^2 = 50000000 m^2
8.5 km^2 = 8500000 m^2
Step-by-step explanation:
1 cm = 10 mm
1 [tex]cm^{2}[/tex] = 10×10 [tex]mm^{2}[/tex] = 100 [tex]mm^{2}[/tex]
9 [tex]cm^{2}[/tex] = 9×100 [tex]mm^{2}[/tex] = 900 [tex]mm^{2}[/tex]
5.2 [tex]cm^{2}[/tex] = 5.20×100 [tex]mm^{2}[/tex] = 520 [tex]mm^{2}[/tex]
1 dm = 10 cm
1 [tex]dm^{2}[/tex] = 10×10 [tex]cm^{2}[/tex] = 100 [tex]cm^{2}[/tex]
17 [tex]dm^{2}[/tex] = 17× 100 [tex]cm^{2}[/tex] = 1700 [tex]cm^{2}[/tex]
4.3 [tex]dm^{2}[/tex] = 4.3 × 100 [tex]cm^{2}[/tex] = 430 [tex]cm^{2}[/tex]
1 m = 100 cm
1 [tex]m^{2}[/tex] = 100×100 [tex]cm^{2}[/tex] = 10000 [tex]cm^{2}[/tex]
7 [tex]m^{2}[/tex] = 7×10000 [tex]cm^{2}[/tex] = 70000 [tex]cm^{2}[/tex]
2.5 [tex]m^{2}[/tex] = 2.5×10000 [tex]cm^{2}[/tex] = 25000 [tex]cm^{2}[/tex]
1 km = 1000 m
1 [tex]km^{2}[/tex] = 1000×1000 [tex]m^{2}[/tex] = 1000000 [tex]m^{2}[/tex]
50 [tex]km^{2}[/tex] = 50×1000000 [tex]m^{2}[/tex] = 50000000 [tex]m^{2}[/tex]
8.5 [tex]km^{2}[/tex] = 8.5×1000000 [tex]m^{2}[/tex] = 8500000 [tex]m^{2}[/tex]
If a → b is true, then ~a → b is also true.
Answer:
False
Step-by-step explanation:
To determine whether the statemaent "If [tex]a\Rightarrow b[/tex] is true, then [tex]\neg a\Rightarrow b[/tex] is also true" holds, you can form the truth table:
[tex]\begin{array}{ccccc}a&b&a\Rightarrow b&\neg a&\neg a\Rightarrow b\\1&1&1&0&1\\1&0&0&0&1\\0&1&1&1&1\\0&0&1&1&0\end{array}[/tex]
When the result of the column [tex]a\Rightarrow b[/tex] takes value 1 (true), the result of the column [tex]\neg a\Rightarrow b[/tex] is not always 1, then the statement is false.
A ladder that is 20 ft. Long is leaning against the side of a building. If the angle formed between the ladder and the ground is 75, how far is the bottom of the ladder from the base of the building?
Answer:
The ladder from the base of the building is 5.18 ft (Approx)
Step-by-step explanation:
As given
A ladder that is 20 ft. Long is leaning against the side of a building.
If the angle formed between the ladder and the ground is 75.
Now using the trignometric property .
[tex]cos\theta = \frac{Base}{Hypotenuse}[/tex]
As shown in the figure.
[tex]\theta = 75^{\circ}[/tex]
Base = CB
Hypotenuse = AC = 20 ft.
Put in the trignometric identity .
[tex]cos75^{\circ} = \frac{CB}{AC}[/tex]
[tex]cos75^{\circ} = \frac{CB}{20}[/tex]
[tex]cos\ 75^{\circ} = 0.259[/tex]
Put in the above
[tex] 0.259= \frac{CB}{20}[/tex]
[tex]0.259 = \frac{CB}{20}[/tex]
CB = 0.259 × 20
CB = 5.18 ft (Approx)
Therefore the ladder from the base of the building is 5.18 ft (Approx) .
Geometry problem below
Answer:
(1,0) (-2,-1)
Step-by-step explanation:
We need to find the midpoint of Segment BD
(-3,1) and (-1,-3)
the midpoint is (x1+x2)/2, (y1+y2)/2
(-3+-1)/2 , (1+-3)/2
-4/2 , -2/2
-2, -1
We need to find the midpoint of Segment cD
(3,3) and (-1,-3)
the midpoint is (x1+x2)/2, (y1+y2)/2
(3+-1)/2 , (3+-3)/2
2/2 , 0/2
1, 0
Name FIVE x-values for which the cosine function equals 0.
Answer:
You didn't input the function, but the cosine of 90 degrees is zero.
Cosine values of zero also occur when an angle equals
270 degrees 450 degrees 630 degrees and 810 degrees.
Step-by-step explanation:
Answer:
That would be 0, 180, 360, 540, and 720.
Step-by-step explanation:
If the value of sine is 0. Add 180 five times and we get the five numbers for the answer.
Given two events A and B of a sample set where P[A] = .20 P[not B] = .40 P[B|A] = .25 What is P[A or B]?
Answer:
Given two events A and B of a sample set :-
P[A] = 0.20
P[not B]=0.40
[tex]P[B/A]=0.25[/tex]
To find P[A or B]:
[tex]P[A or B] = P[A] + P[B] - P[A \cap B][/tex] ......[1]
Calculate for [tex]P[B][/tex] and [tex]P[A \cap B][/tex]
P[B] = 1- P[not B]
Substitute the value P[not B] we get;
P[B] = 1-0.40 = 0.60
[tex]P[A \cap B] = P[B/A] \cdot P[A][/tex]
Substitute the given values we get;
[tex]P[A \cap B] = 0.25 \cdot 0.20 = 0.05[/tex]
Then;
[tex]P[A or B] = 0.20+0.60-0.05 = 0.80-0.05 =0.75[/tex]
Therefore, the value of P[A or B] is, 0.75.
The probability of P(A∪B) is 0.35.
ProbabilityProbability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Given
P(A) = 0.20
P(B) = 0.40
P(A∩B) = 0.25
To findThe probability of P(A∪B).
How to find the probability of P(A∪B)?We know the formula
P(A∪B) = P(A) + P(B) - (A∩B)
P(A∪B) = 0.20 + 0.40 - 0.25
P(A∪B) = 0.60 - 0.25
P(A∪B) = 0.35
Thus the probability of P(A∪B) is 0.35.
More about the probability link is given below.
https://brainly.com/question/795909
I've been having trouble in my lessons and I need a bit of help. If someone could explain how to do the problem, or work with me to solve it. Either would be amazing!
Given the function h(x) = 3(5)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section.
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.
Answer:
Sorry if this isnt helpful: Im just going off stuff i learned to see if this will help you at all. Im only in 7th so.. Sorry in advance!!
Step-by-step explanation:
To find the rate, you need to create a unit rate table thing, like this:
5/3 = ?/1 To do this, you would need to divide 5 by 3 and 3 by 3 to get y and x. You get: 1.666 continued. Rounded, about 1.7 . so your unit rate for part A is 1.7/1. You would do the same thing. 2/3 = ?/1. I will let you solve that :)))
Finished A! Now B:
To compare, we use the butterfly method! so 1.7/1 o ?1. cross multiply, and whichever number is bigger comes on top. Then you would explain why that number is bigger. BAM
please help i dont understand?
Add up the expressions. Combine like terms wherever possible.
(f+g)(x) = f(x) + g(x)
(f+g)(x) = (x^2+10) + (x-3)
(f+g)(x) = x^2 + x + (10-3)
(f+g)(x) = x^2 + x + 7
Answer: Choice A
Please help!!!!!!!!!!!
Answer:u got to multiply
Step-by-step explanation:
Linda is having a bake sale. She has 48 chocolate chip cookies and 64 vanilla wafer cookies to put in bags. How many bags can she fill if she puts the same number of cookies and the same number of wafers in each bag and has no cookies or wafers left over? Find the GCF.
Answer:
48/8=6 bags of chocolate chip cookies.
And 64/8=8 bags of vanilla wafer cookies.
8 bags.
Step-by-step explanation:
Linda is having a bake sale:
48 chocolate chip cookies and 64 vanilla wafer cookies to put in bags
She can fill the bag with same number of cookies and the same number of wafers in each bag
And condition is no wafers or cookies left over.
So, we will find the greatest common factor of 48 and 64 which is 8
Hence, she can fill 8 bags
And 48/8=6 bags of chocolate chip cookies.
And 64/8=8 bags of vanilla wafer cookies.
You may use a calculator to complete this test. if 1 egg and 1/3 cup of oil are needed for each bag of brownie mix, how many bags of brownie mix do you need if you want to use up all 3 eggs and 1 cup of oil?
Math help on questions #4 and #5
4. -3
5. 3
Step-by-step explanation:4. For x > -2, the value of a is the slope of the line. The line goes down 3 units for each 1 to the right, so the slope is -3/1 = -3. Then a = -3.
___
5. The ordered pair (h, k) is typically used to name the point to which a function is translated. The vertex of the function f(x) = |x| is (0, 0). When it is translated to (h, k), the function becomes ...
... q(x) = |x -h| +k
If the new vertex is (3, 0), then h = 3 and k = 0. This is consistent with the equation shown. (k = 0 means q(x) = |x -h|.)
Anna, Irina, Avel, and Vlad are going on a road trip. The following table shows an incomplete probability model for who will be driving during any given kilometer.
Anna: 1/8
Irina: 3/8
Avel: ?
Vlad: 1/8
If the road trip involves 640km of driving, which of the following is the best prediction for the number of kilometers that Avel will drive?
A. 80
B. 160
C. 240
D. 320
Answer:
1. [tex]\dfrac{3}{8}[/tex]
2. 240 km
Step-by-step explanation:
Anna drives [tex]\dfrac{1}{8},[/tex] Irina drives [tex]\dfrac{3}{8},[/tex] Vlad drives [tex]\dfrac{1}{8},[/tex] then Avel drives
[tex]1-\dfrac{1}{8}-\dfrac{3}{8}-\dfrac{1}{8}=\dfrac{8}{8}-\dfrac{1}{8}-\dfrac{3}{8}-\dfrac{1}{8}=\dfrac{8-1-3-1}{8}=\dfrac{3}{8}.[/tex]
If the road trip involves 640 km of driving, then Avel drives
[tex]640\cdot \dfrac{3}{8}=80\cdot 3=240\ km.[/tex]
Given the parametric equations, x = 2t + 5 and y = 3t^2 - 1, find the point on the graph at time, t = 4.
Please explain how you got your answer.
Answer: (13, 47)
The expression t = 4 means that 4 units of time have come off the clock (possibly 4 seconds). Plug this value into each equation given for x and y
x = 2*t + 5 = 2*4 + 5 = 8 + 5 = 13
y = 3*t^2 - 1 = 3*4^2 - 1 = 3*16 - 1 = 48 - 1 = 47
In short, if t = 4 then it leads to x = 13 and y = 47 at the same time. These x and y values pair up to get the final answer (13,47)
--------------
Here's an update:
If t = 2, then,
x = 2t+5 = 2*2+5 = 4+5 = 9y = 3t^2-1 = 3*2^2-1 = 3*4-1 = 12-1 = 11In short, if t = 2, then x = 9 and y = 11
The point on the graph at time [tex]\(t = 4\) is \((13, 47)\)[/tex].
To find the point on the graph at time [tex]\(t = 4\)[/tex] given the parametric equations [tex]\(x = 2t + 5\)[/tex] and [tex]\(y = 3t^2 - 1\)[/tex], substitute [tex]\(t = 4\)[/tex] into both equations.
1. For [tex]\(x\)[/tex]:
[tex]x = 2t + 5[/tex]
[tex]x = 2(4) + 5[/tex]
[tex]x = 8 + 5[/tex]
[tex]x = 13[/tex]
So, at [tex]\(t = 4\), \(x = 13\)[/tex].
2. For [tex]\(y\)[/tex]:
[tex]y = 3t^2 - 1[/tex]
[tex]y = 3(4)^2 - 1[/tex]
[tex]y = 3(16) - 1[/tex]
[tex]y = 48 - 1[/tex]
[tex]y = 47[/tex]
So, at [tex]\(t = 4\), \(y = 47\)[/tex].
Therefore, the point on the graph at time [tex]\(t = 4\) is \((13, 47)\)[/tex].
Brandon buys a radio for 43.99 in a state where sales tax is 7%.What is the total brandon pays for the radio
Answer:
$3.08
Step-by-step explanation:
Suppose the band sells erasers for $2 per package and pencils for $5 per package. The band sells 220 packages in all and earns a total of $695. Write a system of equations to find the number of teacher type of package sold
Lines g and h are parallel and m 2 = 135°.
What is m 7?
45°
65°
115°
135°
Give two different methods you could use to put the fractions 1/2, 3/4, 3/8, 5/8, 5/16, 7/16, 9/16, and 11/16 in order
THE RECIPE REQUIRES 10 CUPS OF FLOUR AND 2 TEASPOON OF SLAT ANTHONY WANTS TO MAKE THE RECIPE USING 1 CUP OF FLOUR TO MAINTAIN THE RATIO HOW MUCH SALT IS REQUIRED WHEN USING 1 CUP OF FLOUR IS USED
Suppose that, based on a sample, the 99.7% confidence interval for the mean of a population is (59,95). What is the mean of the sample?
Answer:
mean = 77
Step-by-step explanation:
We have a confidence interval of (59, 95) with a confidence of 99.7 percent
99.7 is 6 standard deviations from the mean, 3 on each side of the mean
mean - 3 sigma = 59
mean + 3 sigma = 95
We can use elimination to eliminate sigma. Add these equations together
mean - 3 sigma = 59
mean + 3 sigma = 95
---------------------------------
2 * mean = 154
Divide each side by 2
2 * mean/2 = 154/2
mean = 77
Based on a sample where the 99.7% confidence interval for the mean of a population is (59,95), 77 is the mean
Plz help, I’m so confused on this
Answer:B is the answer I think but I’m not sure sorry
Step-by-step explanation:
1 _____ 2
Choose the relationship symbol to make a true statement.
<
=
>
Answer: <
Step-by-step explanation: The top triangle (1) has a smaller area than triangle 2.
Answer:
Angle 1 < Angle 2
Step-by-step explanation:
This is a short answer, but I promise that its 100% correct.
Hope it helps.
the formula to convert fahrenheit to celsius is c=5/9 (f-32) convert 30
Answer:
-1 1/9 degrees Celsius
Step-by-step explanation:
Assuming we have 30 Fahrenheit, we need to plug it into the formula to find the degrees Celsius.
c=5/9 (f-32)
Substitute f=30
c = 5/9 (30-32)
c = 5/9 (-2)
c = -10/9
c = -1 1/9 degrees Celsius
Use the figure to complete the sentence.
∠6 and ____ are corresponding angles.
∠2
∠3
∠7
∠8
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
The graph of the function f(x) = x^3 – 7x – 6 intersects the x-axis at the points (–2, 0), (–1, 0), and (3, 0) as shown.
Which expression is equivalent to x^3 – 7x – 6?
Answer: D
Step-by-step explanation:
The x-intercepts of the graph are: x = -2 , x = -1, and x = 3
--> x + 2 = 0, x + 1 = 0, and x - 3 = 0
--> (x + 2) (x + 1) (x - 3)
Factor the polynomial
5c2 - 17c - 14
(5c - 7)(c - 2)
(5c - 2)(c - 7)
(5c - 7)(c + 2)
Prime polynomial
Answer:
The Answer is a Prime polynomial, it cannot be further factorized.
Step-by-step explanation:
Gil borrows $8,000 for college expenses. He will pay a total of $10,280 after 6 years. Gil says the interest rate is at least 5%. Is he correct?
Answer:
Gil is not correct.
Step-by-step explanation:
We have been given that Gil borrows $8,000 for college expenses. He will pay a total of $10,280 after 6 years. Gil says the interest rate is at least 5%.
We will use simple interest formula to check whether Gil is right or not.
[tex]A=P*(1+r*t)[/tex], where
A= Final amount after t years.
P= Principal amount.
r= Interest rate in decimal form.
Let us substitute our given values in above formula to find the interest rate.
[tex]10280=8000*(1+r*6)[/tex]
[tex]10280=8000+48000*r[/tex]
[tex]2280=48000*r[/tex]
[tex]r=\frac{2280}{48000}[/tex]
[tex]r=0.0475[/tex]
Since r is in decimal form, so let us convert interest rate in percent by multiplying by 100.
[tex]0.0475*100=4.75[/tex]
Therefore, the original interest rate is 4.75% which is less than 5%, so Gil is not correct.
Answer:
The answer is gill is incorrect he will pay 2280 interest, which corresponds to an interest rate of 4.75
Step-by-step explanation:
A company buys paper clips at the rate of $7.50 per box for the first 10 boxes, $5.50 per box for the next 10 boxes, and $3.50 per box for any additional boxes. How many boxes of paper clips can be bought for $221.00?
Answer:
46 boxes
Step-by-step explanation:
First 10 boxes can be bought for [tex]7.5*10=75[/tex]Next 10 boxes can be bought for [tex]5.5*10=55[/tex]So for a total of 20 boxes, the cost is [tex]75+55=130[/tex]
We have remaining [tex]221-130=91[/tex]
Each additional box costs 3.5, so for 91 dollars, we can get:
[tex]\frac{91}{3.5}=26[/tex] boxes
So, total [tex]10+10+26=46[/tex] boxes can be bought for $221.00
Given the budget of $221 and the stipulated price rates, the company can buy a total of 46 boxes of paper clips.
Explanation:To solve this problem, we first need to calculate how many boxes the company can buy with $221 considering the different rates. The first 10 boxes cost $7.50 each, so ten boxes would cost $75. The next 10 boxes cost $5.50 each, so these together would cost $55. This means that 20 boxes cost $130. Subtract this amount from the total budget, which leaves $91.
Since each additional box over 20 boxes costs $3.50, we divide our remaining fund, $91, by $3.50 to determine how many more boxes can be purchased. This comes out to roughly 26 boxes.
So, adding up all the boxes, the company can buy 10 boxes (at $7.50) + 10 boxes (at $5.50) + 26 boxes (at $3.50) = 46 boxes with $221.
Learn more about Quantity Calculation here:https://brainly.com/question/33642433
#SPJ11