Answer:
Step-by-step explanation:
For Case -1
[tex]\Rightarrow -4x+3y=-5\quad \ldots(i)[/tex]
[tex]\Rightarrow 4x-5y=3[/tex]
[tex]\Rightarrow 4x=5y+3[/tex]
Put the value of [tex]4x[/tex] in equation [tex](i)[/tex] we get
[tex]\Rightarrow -(5y+3)+3y=-5[/tex]
[tex]\Rightarrow -5y+3y-3=-5[/tex]
[tex]\Rightarrow 2=2y[/tex]
[tex]\Rightarrow y=1[/tex]
and thus [tex]4x=5(1)+3[/tex]
[tex]x=\frac{8}{4}=2[/tex]
Case-2
[tex]10x-6y=12\quad \ldots(i)[/tex]
[tex]2x+3y=12\quad \ldots(ii)[/tex]
Now multiply [tex](ii) by 5 and subtract it from (i)[/tex]
[tex] 10x-6y=12[/tex]
[tex] 10x+15y=+180[/tex]
[tex]\cdots \cdots \cdots[/tex]
[tex]-21y=-168[/tex]
[tex]y=8[/tex]
and [tex]=6[/tex]
The area of the base of a rectangular prism is 30 square centimeters the height of the prism is 6 centimeters what is the volume of the rectangular prism on cubic centimeters
Answer:
Yo Send me a pic so i can solve
Step-by-step explanation:
Answer:
18,6,108 on edg 2021
Step-by-step explanation:
A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecting a 9 and the coin landing on heads?
Answer:
The probability is 1/26
Step-by-step explanation:
Here, we have two different sample spaces to work with and we want to calculate a compound probability.
Firstly in a deck of cards which contain a total of 52 cards, there are 4 cards labeled 9. Thus the probability of selecting a 9 is 4/52 = 1/13
Secondly in a flip of coin the probability of the coin landing on head is 1/2
Thus the probability of selecting a 9 and the coin landing on head = probability of selecting a nine * probability of the coins landing on head= 1/13 * 1/2 = 1/26
Which of the following is equivalent to 7-2(x+2)<-4-3(1x)?
//
:-5x<-10
:-x<-16
:-2x<-17
:6x<-9
(Much appreciated✨)
Step-by-step explanation:
-5x<-10
................
Please help. Worth more than 5 points.
Answer:
(5,-1) and choice A
Step-by-step explanation:
The first step is to figure out where the two vectors are. Since one goes to (2,-3) and the other goes to (3,2), you already know that the only possible correct answer choices could be A and B, since C and D go to the wrong coordinates. Since the two vectors are originating from the same point and are not build on top of each other, you solve this by averaging them instead of adding head to tail. Using the pythagorean theorem, you know that the length of the new vector will be [tex]\sqrt{(3^2+2^2)+(3^2+2^2)}=\sqrt{26}[/tex]. The side lengths have length 5 and 1, since [tex]5^2+1^2=26[/tex]. Therefore, the coordinates of the new vector are (5,-1). Hope this helps!
Simplify the expression. (n^7)^2
Answer:
n^14
Step-by-step explanation:
Simplify. Note that when you have a power on top of a power, you multiply the two powers.
(n^7)^2 = n^(7 * 2) = n^14
n^14 is your answer.
~
Use power rule: (a^b)^c = a^b*c
Solve.
= (n^7)^2
= n^7*2
= n^14
Best of Luck!
e) 13, 9, 5, ___, -3, ___, -11 f) 1, 22, 333, _____, 55555, _______
Answer:
e) 1, -7
f) 4444, 666666
Step-by-step explanation:
e) has a pattern of taking away 4 from each number after; 13 -4 = 9, 9 - 4 = 5, etc.
f) has a pattern referring to the numbers itself; 1 has one 1. 22 has two 2's, 333 has three 3's, etc
Hope this helps!
The complete set of Hannah Montana DVDs costs $149.99. The first 1,000
orders will receive a discount of 40%.
How much is the discount?
How much is the sale price?
Find the gradient of the line segment between the points (0,6) and (2,16).
Answer:
5
Step-by-step explanation:
The gradient is the ratio of the change in y to the change in x:
m = ∆y/∆x = (16 -6)/(2 -0) = 10/2 = 5
The gradient of the line segment is 5.
Choco pies are cookies made from chocolate (c), sugar (s), and flour (f). Chocolate costs $5 per pound, sugar costs $3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as sugar. Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put $1000 more in a 2-year deposit than in a 1-year deposit and invest the rest in a 3-year deposit. How much money should he invest in each deposit?
Answer:
The amount of money he should invest in a 1-year deposit is $3,333.333
The amount of money he should invest in a 2-year deposit is $4,333.333
The amount of money he should invest in a 3-year deposit is $8666.67
Step-by-step explanation:
The given parameters are;
Total investment = $12,000
Total interest = $600
Interest rate = r
Amount invested in a 2-year deposit, B = $1,000 + Amount invested in a 1-year deposit, A
Amount invested in a 3-year deposit, C = $12,000 - (A + B)
C = 12000 - 2·B + 1000 = 13000 - 2·B
∴ A + B + C = $12,000
A×r + 2×r×B + 3×r×C = $600
∴ r×(A + 2·B + 3·C) = $600
r×(12000 + B + 2·C) = $600
B = A + 1000
∴ r×(B - 1000 + 2·B + 3·(13000 - 2·B) = $600
r×(B - 1000 + 2·B + 3·(13000 - 2·B) = $600
r×(38000 - 3·B) = $600
∴B + 2·C = -3·B
4·B = 2·C
C = 2·B
Hence;
B - 1000 + B + 2·B = $12,000
3·B = 13,000
∴ B = 13000/3 = [tex]\$4,333\tfrac{1}{3}[/tex] = $4,333.333
B = A + 1000
∴ A = B - 1000 = [tex]\$3,333\tfrac{1}{3}[/tex] = $3,333.33
C = 2×B = [tex]\$8,666\tfrac{2}{3}[/tex] = $8666.67
Therefore;
The amount of money he should invest in a 1-year deposit = $3,333.333
The amount of money he should invest in a 2-year deposit = $4,333.333
The amount of money he should invest in a 3-year deposit = $8666.67.
Find the measure of Angle b - ONLY TYPE THE NUMBER (if you write the number with anything else, it will be counted incorrect by the system) *
Answer:
65
Step-by-step explanation:
90 degrees - 25 degrees = 65 degrees
Which of the following statements is correct?
a. A cone is a 3D shape with a circular base and smooth curved sides ending in a point at
the top
b. A pyramid is a 2D shape which has a polygon as a base.
Mary has taxable income of $40,000, with short-term capital gains of $2,500. What will be her capital gains tax rate and tax owed? Single Taxpayers: Income Brackets Tax Rate Income Bracket 10% 0 to 9,525 12% 9,526 to 38,700 22% 38,701 to 82,500 24% 82,501 to 157,500 32% 157,501 to 200,000 35% 200,001 to 500,000 37% > 500,000 Single Taxpayers: Qualified Dividends and Long-Term Capital Gains Tax Rate Income Bracket 0% 0 to 38,600 15% 38,601 to 425,800 20% > 425,800 A. 0% tax rate with no taxes owed B. 15% tax rate with $375 in taxes owed C. 22% tax rate with $550 in taxes owed D. 24% tax rate with $600 in taxes owe
Answer:
The correct option is B,15% tax rate with $375 in taxes owed
Step-by-step explanation:
Mary has a taxable income of $40,000 which implies that Mary falls into tax bracket of capital gains tax of 15% for taxable income between $38,601 and $425,800.
The amount capital gains tax payable is however the capital gains itself multiplied by the percentage applicable of 15% not the entire taxable income since that consisted of other income from other sources aside from capital gains
capital gains tax=$2500*15%=$375
Answer: Its C, the rationale is that short-term capital gains are taxed at income tax rate
Step-by-step explanation:
$2500=$550 22%
Plato
What is the solution to 2x-8 <12?
A. x<2
B. x<8
C. x<10
D. x<40
Answer:
A. x < 2
Step-by-step explanation:
2x - 8 < 12
2x < 12 + 8
2x < 20
x < 20/10
x < 2
If the difference between the measures of the two smaller angles of a right triangle is 20 degrees what is the measure, in degrees, of the smallest angle?
Answer:
Measure of the smallest angle = 35 degrees.
Step-by-step explanation:
As it is a right triangle the values of the 2 smaller angles will add up to 90 degrees.
So the 2 angles can be written as x and 90-x and we have:
(90 - x) - x = 20
-2x = 20 - 90 = -70
x = 35.
So the 2 angles are 35 and 55 degrees.
In a right triangle measure of the smallest angle is equals to [tex]35[/tex] degrees.
What is angle?
" Angle is defined as when two rays meet at one point ."
According to the question,
In a right triangle,
[tex]'\theta'[/tex] represents the measure of smallest angle
[tex]'90- \theta'[/tex] represents the measure of largest angle.
As per given condition of angle we have,
[tex]90- \theta- \theta = 20\\\\\implies 2\theta = 90 + 20\\\\\implies \theta = \frac{70}{2}\\ \\\implies \theta = 35 degrees[/tex]
Hence, in a right triangle measure of the smallest angle is equals to [tex]35[/tex] degrees.
Learn more about angles here
https://brainly.com/question/13954458
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the circumference of the cylinder is 4cm snf the height 9 cm. What is the curved surface area of the cylinder?
Answer: 326.73 is the precise answer
The requried curved surface area of the cylinder is approximately 35.927 square centimeters.
To find the curved surface area of a cylinder, we use the formula: C = 2πrh, where C is the circumference, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cylinder.
In this case, we are given the circumference C = 4 cm and the height h = 9 cm.
To find the radius, we can use the formula: C = 2πr. Rearranging the formula to solve for r:
r = C / (2π)
Substituting the given values:
r = 4 cm / (2 * 3.14159)
r ≈ 0.6366 cm
Now that we have the radius, we can calculate the curved surface area using the formula:
Curved surface area = 2πrh
Substituting the values:
Curved surface area = 2 * 3.14159 * 0.6366 cm * 9 cm
Curved surface area ≈ 35.927 cm²
Therefore, the curved surface area of the cylinder is approximately 35.9 square centimeters.
Learn more about the surface area here:
https://brainly.com/question/2835293
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Out of the 50 students in Mrs. Green's class, 8 have a pet. What percent of the students in Mrs. Green's class have a pet?
The percent of students in Mrs. Green's class that have a pet is
%.
Answer:
4%
Step-by-step explanation:
A diver was swimming 62 feet below sea level. He then dove 39 feet further down. He ascended 48 feet after a while. Find the new depth of the diver. *
Answer:
53 feet
Step-by-step explanation:
if you start with 62 feet and add 39 feet because he went down 62+39 you get 101 then if you subtract 48 because he went up, 101-48 you get 53 feet
Justin, Cam, and Ben are playing a board game where exactly one player will win. Ben estimates that Justin has a 20\%20%20, percent chance of winning each game and that Cam has a 50\%50%50, percent chance of winning each game.
Answer:
false
Step-by-step explanation:
Based on the information provided we can say that this is false. Since it is a board game and no actual information regarding each players position in the game has been presented, then each player has an equal chance of winning each game. Therefore since there is a total of 3 players the percent chance of winning each game for each player is 33% (100 / 3 = 33)
Two students factored 2x^2 + 6x - 20. Leuko said that the factorization was (2x - 4)(x + 5). Ray gave the factorization as (x - 2)(2x + 10). Confirm that both of these factorizations are correct. Then explain why they are not complete.
Answer:
See explanation
Step-by-step explanation:
If you FOIL both of them, you see that they are both correct, but they both need to factor out a 2 and then they will both have the same thing.
2(x - 2)(x + 5)
Answer: To confirm the equations to be equal with the parent function we do as follows:
(2x – 4)(x + 5) = 2x^2 + 10x - 4x - 20 = 2x^2 + 6x -20
(x – 2)(2x + 10) = 2x^2 +10x - 4x -20 = 2x^2 +6x - 20
Step-by-step explanation: Mark me as brainliest
Which of the following numbers is not rational?
Answer: √5
2.7 is a rational number because it's a terminating decimal which means that the decimal does end and all terminating decimals are rational numbers.
-3 is a rational number because it's an
integer and all integers are rational.
√4 is rational because it's a perfect square which means that a number can be multiplied by itself to get 4 and that number is 2.
√5 is no rational! It's impossible to find a whole number multiplied by itself to give us 5 which means that it's
non-terminating and non-repeating.
Find the common ratio of the geometric sequence
17, 85, 425
Answer:
The common ratio is 5
Step-by-step explanation:
To find the ratio, take the second term and divide by the first term
85/17 = 5
To verify take the third term and divide by the second term
425/85 =5
The common ratio is 5
Please help me. I'm going to fail if someone doesn't and quick please.
Answer:
D
Step-by-step explanation:
To find volume, you have to multiply all the given sides. Therefore, 14 x 5 x 6 = 2,100. (5 x 6=30 x 14=2100)
In the figure below, X Z is a diameter of circle A.
What is the arc measure of minor arc Y Z in degrees?
Answer:
mYZ = 59°
Step-by-step explanation:
If XZ is a diameter is forms a semicircle with it's arc degree half of that of the circle, in other words 180°. That would mean:
m∠ ZAY + m∠ YAX = 180,
( 5w + 4 ) + ( 11w ) = 180,
11w + 5w + 4 = 180,
16w = 176,
w = 11°
Now mYZ is, in other words, m∠ ZAY, so let us solve for m∠ ZAY:
m∠ ZAY = 5w + 4,
m∠ ZAY = 5 * ( 11 ) + 4,
m∠ ZAY = 55 + 4,
m∠ ZAY = 59°,
mYZ = 59°
In ΔNOP, the measure of ∠P=90°, the measure of ∠N=83°, and NO = 83 feet. Find the length of OP to the nearest tenth of a foot.
Step-by-step explanation:
there's the answer I hope you can read
Answer:
82.4
Step-by-step explanation:
(6 points) The diagram below, shows a shape. Work out the area of the shape.
......cm^2
Answer:
Step-by-step explanation:
Answer:
Area of the figure = Area of rectangle + Area of triangle
You have to extend the 4 cm line to touch the 16 cm line at 90⁰
Area of figure = 10 × 9 + 1/2 × 6 × 7
Area = 90 + 21 = 111 cm²
Select the mean, median, mode and range of the following list of values.
1,2,4,7
Averages
3.5
None
3
6
Mean
Median
Range
Mode
Answer: can you explain better? And than I can do this
Step-by-step explanation:
Help! I don’t understand this!
Answer:
this is a 50 inch television
How do I graph this???
Answer:
See the image for answer.
Step-by-step explanation:
I solved this on my calculate. Hope this helps!!!
Brainliest question please help me now plz
Answer:
[tex]\frac{5}{3} \\.3846153846[/tex]
Step-by-step explanation:
When Elena throws a shot put during track and field practice, it travels an average of 26 feet with a standard deviation of 3 feet, and the distribution of lengths is approximately normal. Approximately what percentage of her shots will travel less than 23 feet? *
Answer:
15.87%, that is, approxiately 16% of of her shots will travel less than 23 feet.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 26, \sigma = 3[/tex]
Approximately what percentage of her shots will travel less than 23 feet?
This is the pvalue of Z when X = 23. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{23 - 26}{3}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587.
15.87%, that is, approxiately 16% of of her shots will travel less than 23 feet.