Answers
First, square root x^2 + y^2 = 25, then you get x + y = 5
Elimination. Multiply x + y = 5 by -1, then you get -x - y = -5.
2x + y = 10
-x - y = -5
---------------
x = 5
Related Questions
Jupiter has a mass that is approximately___ times greater than Venus's.
Answers
J=1.898X10^27 kg, V=4.867X10^24
J/M is what we are looking for...
(1.898/4.867)(10^27/10^24)
(0.3900)(10^3)
(0.3900)(1000)
390
What number best completes both questions 5/7 ÷ 1/3=? ? ×1/3= 5/7
Answers
I did the first one, because it's literally the second one but easier.
To divide two fractions, just flip around the second fraction and multiply instead.
5/7 * 3/1, which equals 15/7.
If you want it as a mixed number, 2 1/7.
Who traveled the furthest
Answers
D is the best answer.
in a fish tank, 6/7 of the fish have a red stripe on them.if 18 of the fish have red stripes, how many total fish are in the tank?
Answers
6/7 of the fish have a red stripe.
18 fish have a red stripe.
6:7 = 18:x
6/7 is just a simplified fraction of 18/x, both of which are equal.
In these fractions, the numerator represents the fish with red stripes and the denominator represents the total number of fish.
6:7 = 18:x
x = Total fish
The question is asking us to find x.
Since the fractions are equivalent and there is a known numerator in both of them, divide the numerator of 18:x, or 18/x, which is 18, by the numerator of 6:7, or 6/7, which is 6.
18 / 6 = 3
Now multiply 3 by the known denominator, which is 7.
7 • 3 = 21
6/7 = 6:7
18/x = 18:x
6:7 = 18:x
6:7 = 18:21
x = 21
There are 18 fish with red stripes.
There are 21 total fish.
6/7, or about 86%, of the fish have red stripes.
The answer is there is a total of 21 fish in the tank.
Hope this helps!
What are the possible numbers of positive real, negative real, and complex zeros of f(x) = 6x3 − 3x2 + 5x + 9?
Answers
It is easier to solve this equation by using the scientific calculator under MODE EQN. Choose the form ax3 + bx2 + cx +d = 0. Then substitute a=6, b=-3, c=5 and d=9. The resulting roots are:
x = -0.8 (negative real)
x = 0.65 +1.2i (complex)
x = 0.65 - 1.2i (complex)
x y
0 3
1 1
2 -1
Which equation represents the data in the table shown?
A) y = -2x
B) y = 2x + 3
C) y = -2x + 3
D) y = -2x - 3
Answers
C) y = -2x + 3
when x = 0, y = 3
when x = 1, y = -2(1) + 3 = -2 + 3 = 1
when x = 2, y = -2(2) + 3 = -4 + 3 = -1
solutions matched the table above
Answer:
Option C - [tex]y=-2x+3[/tex]
Step-by-step explanation:
Given : Table of data
x y
0 3
1 1
2 -1
To find : Which equation represents the data in the table shown?
Solution :
To find the equation we need to check all the points satisfying the equation or not.
A) [tex]y=-2x[/tex]
Put x=0
[tex]y=-2(0)=0[/tex]
Not satisfied
B) [tex]y=2x+3[/tex]
Put x=0
[tex]y=2(0)+3=3[/tex]
Put x=1
[tex]y=2(1)+3=5[/tex]
Not satisfied
C) [tex]y=-2x+3[/tex]
Put x=0
[tex]y=-2(0)+3=3[/tex]
Put x=1
[tex]y=-2(1)+3=1[/tex]
Put x=2
[tex]y=-2(2)+3=-1[/tex]
All points satisfied.
D) [tex]y=-2x-3[/tex]
Put x=0
[tex]y=-2(0)-3=-3[/tex]
Not satisfied
Therefore, The required equation satisfying all the points of the table is [tex]y=-2x+3[/tex]
So, Option C is correct.
Joe flips the disc shown below 15 times:
A disc with two layers is shown. The top layer is shaded in a darker shade of gray, and the lower section of the disc is white.
What is the probability that the 16th flip will result in the disc landing white side up?
Answers
The probability will always be 50%
Xavier has $23.50 in his savings account. He deposits $35 every week. His mother also deposits $20 into the account every time Xavier washes the car. His savings account balance can be shown with the following expression: 20c + 35w + 23.50 Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Xavier saves for 12 weeks and washes the car 3 times, how much will he have in his account? Show your work to receive full credit. (4 points) Part C: If Xavier’s mother deposited $25 after each car wash, would the coefficient, variable, or constant in the expression change?
Answers
b. w = 12, c = 3; substitute these values to the given equation :
20c+35w+23.5 = ?
20(3)+35(12)+23.5 = $503.5
c. The expression would change for the term 20c. Instead of 20c,it would then be changed to 25c. Note that the equation was made from the problem statement. If one statement changes, then the mathematical terms would be affected. The rest of the other terms would remain as is.
to get an a in a course you must have an average of at least 90 on four tests that are worth 100 points each. Your scores on the first three tests were 87, 92,
and 84 set up and solve an inequality to find the range of the score that you need on the last test to get a course grade of "A"
Answers
To get an A in the course, you need to score at least 97 on the last test.
Explanation:To find the range of scores needed on the last test to get an A in the course, we need to set up and solve an inequality. Let's assume that the score on the last test is x. The average of the four tests must be at least 90, so the sum of the scores on the first three tests (263) plus the score on the last test (x) divided by 4 must be greater than or equal to 90.
(87 + 92 + 84 + x)/4 ≥ 90
Combine like terms: (263 + x)/4 ≥ 90
Multiply both sides of the inequality by 4: 263 + x ≥ 360
Subtract 263 from both sides of the inequality: x ≥ 97
Therefore, you need to score at least 97 on the last test to get a course grade of 'A'.
For a number X, 40% of X is what percentage of 60% of X?
Answers
40%=0.4
0.4(100)= 40
60%=0.6
0.6(100)= 60
40/60=4/6=2/3
2/3= to about 66.66%
So the answer should be 66.66%
The 40 percent of x is 66.67% of 60 percent of x
Percentage is a way of expressing a fraction or a proportion as a number out of 100. It is often denoted by the symbol "%".
Let x be the number we are considering.
1. 40% of x is equal to 0.40x.
2. 60% of x is equal to 0.60x.
To do that, set up the following expression:
Percentage=0.40x/ 0.60x * 100
Now, cancel out the common factor x:
Percentage = (0.40)/ (0.60) * 100
= (2/3) * 100
= 200 / 3
= 66.67 %
So, 40% of x is 66.67% of 60% of x.
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How to represent 57.036 using fractions
Answers
[tex] 57.\underbrace{036}_{3}=\dfrac{57036}{1\underbrace{000}_{3}}=\dfrac{57036:4}{1000:4}=\dfrac{14259}{250} [/tex]
evaluate 5x^2-3x+2 for x=-3
Answers
Which product is less than 99 (look at pic) please answer
Answers
Answer: 10 / 11 × 99
Step-by-step explanation:
The first one is; 16/15 × 99 = 1584/15 = 105.6
Its greater than 99
The second one is; 12/7 × 99 = 1188/7 = 169.71
The value is greater than 99
The fourth one is; 20/20 × 99 = 1980/20 = 99
The value is equal 99
The third one is; 10/11 × 99 = 990/11 =90
The value is less than 99
Therefore the product of 10/11 ×99 is less than 99
What is the value of the expression 30 divide -6
A. -180
B. -5
C. 5
D. 24
GIVING BRAINLIEST TO CORRECT ANSWER
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression 30 divide -6 will be -5.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that we need to divide the integer 30 with a negative integer, therefore, -6. If the given condition is written in the form of an expression then we can write it as,
30 ÷ (-6)
Writing the expression in the form of a fraction,
= 30/(-6)
Break 30 into factors to cancel it out,
= (6 × 5) / (-6)
Cancelling 6 from both the numerator and the denominator
= 5/-1
= -5
Hence, the value of the expression 30 divide -6 will be -5.
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Final answer:
The correct option is (B) -5. The expression 30 divide -6 results in -5 after dividing the absolute values and applying the negative sign from the original divisor.
Explanation:
The value of the expression 30 divide -6 is obtained by performing the division of 30 by -6. Division by a negative number yields a negative result. Therefore, the calculation would be:
Take the absolute value of both numbers: 30 (positive) and 6 (positive).
Divide the absolute values: 30 \/ 6 = 5.
Attach the negative sign to the result because the original divisor was negative: -5.
The correct answer is -5, which corresponds to option B.
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = -16t^2 + 48t where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent?
Answers
The axis of symmetry of a quadratic function indicates the time at which the soccer ball reaches its maximum height in this case.
The axis of symmetry of a quadratic function represented by [tex]h(t) = -16t^2 + 48t,[/tex] where t is time in seconds, is given by the formula t = -b / 2a. In this case, a = -16 and b = 48, so the axis of symmetry is
t = -48 / (2*(-16))
= 1.5 seconds.
The axis of symmetry represents the time at which the soccer ball reaches its maximum height. For this parabolic motion, the ball will rise until it reaches this time, at which point it will start to fall back down.
At t = 1.5 seconds, the ball is at the peak of its trajectory.
The axis of symmetry is useful because it gives us the time at which the event (in this case, reaching the maximum height) happens, and it is a line that divides the parabola into two symmetrical halves.
Bernard works as a courier delivering and picking up packages for a shipping company. Three of the communities on his route form an isosceles right triangle as shown in the figure. There are approximately 68 miles between Old Mill and Clarksville and between Clarksville and Hamilton. Approximately how many miles are there between Old Mill and Hamilton? Round your answer to the nearest mile if necessary.
Answers
c^2=68^2+68^2
c=√(68^2+68^2)
two million, four hundred and two dollars overdrawn; write this using a negative number.
Answers
a child find 29 nickels and dimes. how many dimes are there if the total value of the coins are $2.10?
Answers
y represents dimes
x+y=29
5x+10y=210
multiply the first equation by -5 (elimination method)
-5x-5y=-145
then add the two equations together
5y=65
divide 5 from both sides
y=13
13 dimes
So there are 13 dimes and 16 nickels
To check the answer just put 13 x 10 +16 x 5 in a calculator and the answer should be 210
A line has a slope of -3/4 and passes through the point (–5, 4). Which is the equation of the line?
a)y=-3/4x+1/4
b)y=-3/4x+4
c)y=-3/4x-2
d)y=-3/4x-1/4
Answers
If slope = -3/4, M = -3/4
y = mx + b ---> y = -3/4x + b
Now substitute the point (-5,4) to find b, and therefore the rest of the equation.
y = -3/4x + b
4 = -3/4(-5) + b
4 = 15/4 + b
0.25 = b
Therefore the answer is A, Y = -3/4x + 1/4
I'm not sure so :/
Final answer:
The correct equation of a line with a slope of -3/4 that passes through the point (-5, 4) is y = (-3/4)x + 31/4. However, none of the answer choices provided match this equation.
Explanation:
To find the equation of a line with a slope of -3/4 that passes through the point (–5, 4), you can use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through.
Plugging in our values we get:
y - 4 = (-3/4)(x - (-5))
This simplifies to:
y - 4 = (-3/4)x - (-3/4)*(-5)
Which further simplifies to:
y - 4 = (-3/4)x + 15/4
To find the y-intercept, we put the equation in slope-intercept form, y = mx + b, by adding 4 to both sides:
y = (-3/4)x + 15/4 + 4
y = (-3/4)x + 15/4 + 16/4
So the final equation is: y = (-3/4)x + 31/4
Looking at the answer choices, there is a mistake in the options provided because none of the options match y = (-3/4)x + 31/4. It's important to convey this discrepancy to the student.
CORRECT OR FASTEST GET BRAINLIEST!!!!!! A standard showerhead in Marty's house dispenses 7 gallons of water per minute. Marty changed this showerhead to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new showerhead. y = 3x How much water does Marty save each day with the change in showerheads if he uses the shower for 8 minutes each day? the option choices are
4, 12, 32, 53
Answers
Water With new showerhead: y=3x. x=8
y=3×8=24
Water He saved: 56-24=32
Answer: 32 gallons
Step-by-step explanation:
Given: Previous rate of dispensing water= 7 gallons per min
If Marty use 8 min showerhead then
Total amount of water dispensed= [tex]7\times8= 56\ gallons[/tex]
After Marty changed the showerhead to energy saving with equation
y=3x, where y is the amount of water dispensed as a function of the number of x minutes for the new showerhead.
When we put x=8 minutes, we get total amount of water dispensed=[tex]3\times8= 24\ gallons[/tex]
Water saved by Marty = 56-24 = 32 gallons
Hence, Marty save 32 gallons each day.
Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The other triangle has a vertical side of 10 and a horizontal side of 30. Could the hypotenuses of these two triangles lie along the same line?
Answers
To find if the if the traingles are similar, figure out whether the ratio of one leg to another is the same. Because the hypotenuse is dependent on the value of the two legs, it's safe to leave them out when trying to determine whether right traingles are similar.
2 to 6 is proportional to 10 to 30
The answer is yes.
True or false. A figure that has opposite sides with equal lengths and equal slopes and diagonals with slopes that are negative reciprocals must be a rhombus.
Answers
Answer:
The statement is false, it describes all parallelogram.
Step-by-step explanation:
The figure that has opposite sides with equal lengths and equal slopes and diagonals with slopes that are negative reciprocals must be a rhombus. This is a true statement
What is a rhombus?A rhombus is a quadrilateral with four equal-length sides in planar Euclidean geometry. The term "equilateral quadrilateral" refers to a quadrilateral whose sides all have equal lengths.
Given:
A figure that has opposite sides with equal lengths and equal slopes and diagonals with slopes that are negative reciprocals must be a rhombus,
Given that it possesses all the characteristics of a parallelogram, a rhombus is regarded as one of the exceptional parallelograms. The two lines of symmetry for a rhombus are its two diagonals. A line that splits an object into two equally sized halves is referred to as the axis of symmetry.
Thus, it is a Rhombus, As the opposite sides are parallel and equal and the diagonal of the rhombus is perpendicular.
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A proposed null hypothesis states that there is no difference in the population mean heights of males of two neighboring towns. The sample mean difference is found to be 10 cm, and the standard deviation of the difference of the sample means is 6 cm. Which statement is true? The null hypothesis must be rejected if we choose the 68% confidence level. The null hypothesis must be rejected if we choose the 95% confidence level. The null hypothesis must be rejected if we choose the 99.7% confidence level. The null hypothesis must be rejected if we choose the 100% confidence level. NextReset
Answers
x1 - x 2 = 10 cm
s of (x1 - x2)i = 6 cm
The null hypothesis is that there is no significant difference between the height of males of the two neighborhoods.
For the null hypothesis to be rejected, this condition must be met
u1 - u2 ≠ 0
For a normal distribution
u = x + z s / √n
where z depends on the confidence interval (CI)
If
CI = 67%, z = 0.16
CI = 95%, z = 0.025
CI = 99.7%, z = 0.0015
CI = 100%, z = 0
So,
u1 - u2 = x1 + z s1 √n - (x2 - z s2 /√n )
Substituting the given values and trying out the different values of z for different confidence intervals, the CI that would meet the required condition is
CI = 95%
So, the answer is
The null hypothesis must be rejected if we choose the 95% confidence level.
Write a algebraic expression for 8 more than 5 times a number.
Answers
"5 times a number"= 5n
So together:
5n+8
Algebraic expression for 8 more than 5 times a number is 5x+8
What is Algebraic expression?In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations
Given,
8 more than 5 times a number
Consider the number is x
Then, 8 more than 5 times a number is
5x+8
Hence, Algebraic expression for 8 more than 5 times a number is 5x+8
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Which equation represents the line that passes through (–8, 11) and (4, 7/2)?
A. y = -5/8x + 6
B. y = -5/8x + 16
C. y = -15/12x – 49
D. y = -15/12x + 71
WHATS THE ANSWER?????????
Answers
John is choosing a password for his access to the internet. He decided not to use the digit 0 or the letter M. Each letter or number may be used more than once. How many passwords of 2 letters followed by 4 digits are possible?
a.)4,200,625
b.)3,100,625
c.)4,100,625
d.)3,100,500
Answers
There are 4100625 possible passwords of 2 letters followed by 4 digits
How to determine the number of passwords?The usable characters are:
Digits 1 - 9 i.e. 9 digitsAll alphabets except M i.e. 25 lettersGiven that the characters can be repeated, and the password uses 2 letters and 4 digits.
The number of password is:
Password = 25* 25 * 9*9*9*9
Evaluate
Password = 4100625
Hence, there are 4100625 possible passwords
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If s = 1/3 unit and A = 54s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)
Answers
A=54(1/3)^2
First, apply exponents.
1/3 x 1/3= 1/9
A=54(1/9)
1/9 x 54= 6
Final answer: 6 square units
Answer:
Plus in s.
A=54(1/3)^2
First, apply exponents.
1/3 x 1/3= 1/9
A=54(1/9)
1/9 x 54= 6
Final answer: 6 square units
Step-by-step explanation:
If i am in 8th grade what year will I graduate
Answers
9 - 12n 2 + 4n 3 - 7n
Answers
Juana can use the expression 64 divided by 4 to determine
A. 4% of 64.
B. 10% of 64.
C. 25% of 64.
D. 50% of 64.
Answers
4/64=0.0625
this expression will given us the value of the 4%of 64.
The answer is A] 4% of 64
Answer:
it is a 4% of 64
Step-by-step explanation: