In a playing card there are 52 cards. (i) '2' of spades: Number of favourable outcomes i.e. '2' of spades is 1 out of 52 cards.
3x − y = 10
4x + 19y = 18
no solution? One solution? or infinitely solutions
Answer:
Infinite
Step-by-step explanation:
Zane can paint a room in 5 hours. Terry can paint a room in 6 hours. How long will it take both of them to paint a room together?
Answer:
Step-by-step explanation:
1/3*X +1/4*X = 1
Use common denomination of 3*4=12
(4X + 3X) / 12 = 1 This implies that 7X/12 = 1.
Solving for X you get X=12/7 = 1.71 hours is the answer.
Can you help me solve this it’s pretty easy but for you guys
Answer:
x - 81 = 321
adding 81 on both sides
x-81+81= 321+81
x= 402
Answer:
402
Step-by-step explanation:
81+321=402-321=81 n=402
I NEED HELP PLZ ( WILL GIVE BRAINLYIST) ( NO LINKS)
9514 1404 393
Answer:
66 cm²
Step-by-step explanation:
The area of the polygon is the sum of the areas of the triangle and the rectangle it sits on. The dimensions of the triangle can be found by examining the top/bottom dimensions shown and the left/right dimensions shown.
The width (base) of the triangle is the difference between the lengths of the bottom and top horizontal lines: (12 -9) cm = 3 cm.
The height of the triangle is the difference between the lengths of the left and right sides of the figure: (9 -5) cm = 4 cm.
The dimensions of the rectangle are shown a the bottom and the left sides of the figure.
triangle area = 1/2bh = 1/2(3 cm)(4 cm) = 6 cm²
rectangle area = LW = (12 cm)(5 cm) = 60 cm²
Total polygon area = 6 cm² + 60 cm² = 66 cm²
2. Which of the following is NOT a rational number? a. 9 b. 4 c. V d. 3
Witch is larger? 1/3 or 3/9
Answer:
they are equal
Step-by-step explanation:
1/3 to a decimal is 0.333
3/9 is 0.333
so they are the same the person above me is wrong
Precalc help
Find all values of x that are NOT in the domain of g.
If there is more than one value, separate them with commas.
Answer:
x² - 1 = 0, so x = -1, 1
x = -1 and x = 1 are not in the domain of g(x).
What is the local tax deducted for $562 biweekly with 2 1/2% tax? $14.05 $ $21.10 $28.10 $140.50
The amount of tax that will be deducted will be A. $14.05
Amount given = $562Tax percentage = 2 1/2%In order to calculate the local tax that will be deducted, we've to multiply the amount that given by the tax percent and this will be:
= $562 × 2 1/2%
= $14.05
Therefore, the amount of tax that will be deducted will be $14.05
In conclusion, the correct option is A.
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The point A (p, -2) is mirrored in the point B (6,-q). The image is A'(4, -8). What is p and q?
Answer:
p =4
q = -2
Step-by-step explanation:
To mirror is to reflect. See the picture
help me out with this 6 question with full sum please...
Answer:
1) 5cm
2) 15cm
3) 7.4cm
4) 12.5cm
5) 3.9cm
6) 10cm
Step-by-step explanation:
Square both values, then add the 2 values. After, with the answer, root it. This method applies for all the questions given.
For example:
For your first question:
4^2 + 3^2 = 25
√25 = 5cm
Hope this helps!
4.88 + 1.6*
What is the answer
Answer:
6.48 is the answer.
Which answer choice best represents 3/15?
Select the Hint button to view a hint. You will get 14 points.
A: 5/6 5
B: 5/1 5
C: 6/1 5
D: 6/6 5
The equivalent fraction for the given fraction is 1/5.
What is an equivalent fraction?Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.
The given fraction is 3/15.
The equivalent fraction is 3/15 =1/5
Therefore, the equivalent fraction for the given fraction is 1/5.
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The depth of a local lake averages 26 ft, which is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|. What is the difference between the depths in February and July?
21 feet
23 feet
8 feet
13 feet
The difference between the depths in February and July is D. 13 feet.
How to illustrate the information?From the information illustrated, it was stated that the depth of a local lake average 26 ft is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|.
Therefore, it should be noted that the depth in July is -18.
Therefore, the difference between the depths in February and July will be:
= -5 - (-18)
= -5 + 18
= 13
Therefore, the depth is 13 feet.
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What is an equation of the line that passes through the points (-4, 1) and (4, -1)?
Answer:
y = 1/4x
Step-by-step explanation:
image attached
Mason randomly chooses a card from a standard deck of playing cards. What is the probability that it is not an ace, given it is a red card
Answer:
there are 52 cards in a deck so the chance is a red card (or not a red card) is 26 out of 52.
Step-by-step explanation:
The solution is 12/13
The probability that the selected card is not an ace but a red card is 12/13
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability of the selected card is not an ace but a red card be P
Now , the equation will be
Mason randomly chooses a card from a standard deck of playing cards
So , the probability that the card is a red card is
There are 26 red cards in the deck of 52 cards
So , the probability of selecting a red card = 26/52
Now , from the 26 red cards , the probability that the card is not an ace would be = 26 - ( Ace of hearts + Ace of diamonds )
And ,
The probability of the selected card is not an ace but a red card P = 24/26
The probability of the selected card is not an ace but a red card P = 12/13
Therefore , the value of P is 12/13
Hence , the probability is 12/13
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An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
The expression factoring out the greatest common factor is (3pf - 21p²)(f + 2).
We have the expression as
3pf² - 21p²f + 6pf - 42p²
Now, factorising the expression as
= 3pf² + 6pf - 21p²f - 42p²
= 3pf(f +2) - 21p²(f + 2)
= (3pf - 21p²)(f +2)
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A cone has a volume of 4000cm3
. Determine the height of the cone if the diameter of the cone
is 30 cm.
Answer:
17cm
Step-by-step explanation:
Given that the Volume of a cone is 4,000 cm³. And we need to determine the height of the cone , if the diameter is 30cm .
Diagram :-
\(\setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(17.5,1.6){\sf{15cm }}\put(9.5,10){\sf{17\ cm }}\end{picture} \)
Step 1: Using the formula of cone :-
The volume of cone is ,
\(\rm\implies Volume_{(cone)}=\dfrac{1}{3}\pi r^2h \)
Step 2: Substitute the respective value :-
\(\rm\implies 4000cm^3 =\dfrac{1}{3}(3.14) ( h ) \bigg(\dfrac{30cm}{2}\bigg)^2 \)
As Radius is half of diameter , therefore here r = 30cm/2 = 15cm .
Step 3: Simplify the RHS :-
\(\rm\implies 4000 cm^3 = \dfrac{1}{3}(3.14) ( h ) (15cm)^2\\ \)
\(\rm\implies 4000 cm^3 = \dfrac{1}{3}(3.14) ( h ) 225cm^2\\ \)
Step 4: Move all the constant nos. to one side
\(\rm\implies h =\dfrac{ 4000 \times 3}{ (3.14 )(225 )} cm \\\)
\(\implies \boxed{\blue{\rm Height_{(cone)}= 16.98 \approx 17 cm }}\)
Hence the height of the cone is 17cm .
What is the solution to the equation -3(h+5) + 2 = 4(h+6)-9?
n = 4
n=-2
n=2
n=4
-3(h+5) + 2 = 4(h+6) -9
-3h-5 + 2 = 4h+24 -9
-3h-4h = 24-9+5-2
-7h = 18
h = -18 = -2.57
7
help meeeeee please
What is the value of x in the equation -3x=4?
Answer:
- 1 1/3
Step-by-step explanation:
To solve this, simply divide 4 by -3. 4/-3 = -1 1/3, so that's your answer.
I need help solving...
Answer:
x = 4
Step-by-step explanation:
Because we know both figures have the same perimeter, we can set them equal to each other.
3x + 4 + 5x + 1 + 2x + 5 = x + 13 + x + 13 + 2x + 2x
10x + 10 = 6x + 26 (Added like terms.)
4x + 10 = 26 (Subtracted 6x on both sides.)
4x = 16 (Subtracted 10 on both sides.)
x = 4 (Divided 4 on both sides.)
What is the next term in the pattern? 1,1,5,17,71,247
Answer: 1085
Step-by-step explanation:
the equation of line u is y=3/8×+6. line v is perpendicular to u. what is the slope of v?
The given equation is
\(y=\frac{3}{8}x+6\)We know that line v is perpendicular to u (the given equation).
The definition for perpendicularity in this case is
\(m_u\cdot m_v=-1\)Additionally, from the given equation, we know that the slope of line u is 3/8. Using the perpendicularity definition, we have
\(\begin{gathered} \frac{3}{8}\cdot m_v=-1 \\ m_v=-\frac{8}{3} \end{gathered}\)Therefore, the slope of line v is -8/3.Integrate y = (2x + 2)^5 with respect to x
∫ (2x + 2)⁵ dx
Substitute u = 2x + 2, so that du = 2 dx. Then
∫ (2x + 2)⁵ dx = ∫ u ⁵ (du/2) = 1/2 ∫ u ⁵ du
Use the power rule:
1/2 ∫ u ⁵ du = 1/2 (1/6 u ⁶) + C = 1/12 u ⁶ + C
Replace u to get the antiderivative back in terms of x :
∫ (2x + 2)⁵ dx = 1/12 (2x + 2)⁶ + C
and the result can be simplified a bit as
(2x + 2)⁶ = 2⁶ (x + 1)⁶
→ ∫ (2x + 2)⁵ dx = 2⁴/3 (x + 1)⁶ + C = 16/3 (x + 1)⁶ + C
The perimeter of parallelogram ABCD is 46 inches. What
is DA?
Answer:
B. 4 inches
Step-by-step explanation:
I got 100% on the quiz on Edg 2020
Answer:
4 inch
Step-by-step explanation:
Mention the first executive members of Nigeria union of teacher and their respective
positions.
The first executive members of Nigeria union of teacher and their respective positions include:
1. Peter Ayodele (President)
2. S.O. Ijatuyi (Vice President)
3. Adeleye Adegoke (Secretary-General)
4. O. M. Oshuntokun (Assistant Secretary-General)
5. W. O. Coker (Treasurer)
6. G. A. Fakokunde (Publicity Secretary)
The Nigeria Union of Teachers (NUT) was established in July 1931 to represent the interest of Nigerian teachers. The initial executive members of the Nigeria Union of Teachers were six in number. The first executive members of Nigeria union of teacher and their respective positions include:
1. Peter Ayodele (President)
2. S.O. Ijatuyi (Vice President)
3. Adeleye Adegoke (Secretary-General)
4. O. M. Oshuntokun (Assistant Secretary-General)
5. W. O. Coker (Treasurer)
6. G. A. Fakokunde (Publicity Secretary)
Peter Ayodele became the President of NUT. He was a prominent educational activist, which led to his election as President. S.O. Ijatuyi served as the Vice President of NUT.Adeleye Adegoke was appointed as the Secretary-General of NUT. He was known to be a dynamic and tireless worker.O. M. Oshuntokun was the Assistant Secretary-General. He worked closely with the Secretary-General to make the Union more effective and efficient.W. O. Coker became the treasurer of the Union. He was an experienced accountant, and his appointment helped to put the financial matters of the Union in good shape.G. A. Fakokunde was appointed as the Publicity Secretary. His job was to ensure that the Union's activities were adequately publicized to the public.
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Question 7
0 / 2 pts
On March 1, Imhoff Co. began construction of a small building. Payments of $267,596 were made monthly for several months. The payments begin on the first day of April; the last payment was made August 1. The building was completed and ready for occupancy on the first day of September. In determining the amount of interest cost to be capitalized, the weighted-average accumulated expenditures are
Y Correct Answer 334,495 margin of error +/- 5
The solution is : the weighted-average accumulated expenditures are $101,269.5.
Explanation:
Calculation to determine the weighted-average accumulated expenditures
Weighted-average accumulated expenditures=$202,539* (3/12 + 2/12 + 1/12)
Weighted-average accumulated expenditures=$202,539*0.5
Weighted-average accumulated expenditures=$101,269.5
Therefore In determining the amount of interest cost to be capitalized, the weighted-average accumulated expenditures are $101,269.5.
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Twice a number subtracted from three times a number , added to 20. Express as a mathematical expression, and is it nonlinear or linear expression ?
Let's begin by listing out the information given to us:
let the number be represented by x
twice a number = 2x
three times a number = 3x
3x - 2x + 20
x + 20
It is a linear equation
3 solutions for x<-2
Answer:
-3,-4,-5
Step-by-step explanation:
those are all numbers less than -2! your welcome! please give me brainliest!
Answer: -3, -16, and -642,000
Step-by-step explanation: In this problem, we're asked to state three solutions for the following inequality, x < -2.
The inequality x < -2 means that any number
less than -2 is a solution to the inequality.
For example, -3 is a solution because -3 is less than -2.
Another solution would be -16 because -16 is less than -2.
One other solution would be -642,000 because it's less than -2.
It's important to understand that these are only 3 possible
answers and there are many answers to choose from.
Select the correct answer.
Simplify the following expression.
Answer:
B. 1/3
Step-by-step explanation:
This question is designed to show if you know the exponent rules. Exponent Rules are short cuts. If you are multiplying two terms and they both have the same base (the big bottom number), then you could ADD the exponents (the small font raised numbers) Here the base is 3 in both terms. We keep that base. Then add 2/5 and -7/5 to get -5/5. This is just -1.
Another Exponent Rule is how to use negative exponents. So far we have 3^-1 (that means three to the negative one power)
In order to make that negative exponent positive, you just move it across the fraction bar. So we would lower it below the fraction bar to make it a positive one exponent. So you end up with 1/3