If 2x-y=9 and 3x+4y=19, then y=
Answer:
x = 5
y = 1
Step-by-step explanation:
2x - y = 9
3x + 4y = 19
We multiply the first equation by 4
8x - 4y = 36
3x + 4y = 19
11x = 55
x = 5
Now we put 5 in for x and solve for y
2(5) - y = 9
10 - y = 9
-y = -1
y = 1
Let's Check the answer
2(5) - 1 = 9
10 - 1 = 9
9 = 9
So, x = 5 and y = 1 is the correct answer.
Which scale drawing of the parallelogram has a scale factor of One-third, if the original parallelogram has lengths 6 cm and 15 cm?
A parallelogram has lengths of 2.5 centimeters and 1 centimeter.
A parallelogram has lengths of 5 centimeters and 2 centimeters.
A parallelogram has lengths of 18 centimeters and 9 centimeters.
A parallelogram has lengths of 45 centimeters and 18 centimeters.
Answer:
The correct answer is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find the tangent of the larger acute angle in a right triangle with side lengths 3, 4, and 5.
Write your answer as a fraction.
The tangent of the larger acute angle is ______?______
The tangent should be in fraction is 4/3
Calculation of the tangent:
Since in a right triangle with side lengths 3, 4, and 5
Here there is the larger acute angle in the 3, 4 and 5 so it should be lies between 3 and 5
So, it should be like
= opposite side ÷ adjacent side
= 4/3
Hence, The tangent should be in fraction is 4/3
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Rakeem is constructing a triangle. He knows that one side is 32 cm and another is 20 cm
What is the largest size for the last side of the triangle?
b. What is the smallest size for the last side of the triangle?
Answer:38
Step-by-step explanation:
What do I supposed to do ?
Answer:
Just add the 2 fractions that were mentioned
Step-by-step explanation:
turn 6 1/2 into an improper fraction and then add it to 5/8 by finding a common denominator
so it would be like -
13/2 + 5/8 = 52/8 + 5/8 = 57/8 = 7 1/8
Answer:
6 1/2 + 5/8 = 57/8 = 7 1/8 = 7.125
Step-by-step explanation:
Conversion a mixed number 6 1/2
to a improper fraction: 6 1/2 = 6 1/2 = 6 · 2 + 1/2 = 12 + 1/2 = 13/2
To find a new numerator:
a) Multiply the whole number 6 by the denominator 2. Whole number 6 equally 6 * 2/2 = 12/2
b) Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13
c) Write a previous answer (new numerator 13) over the denominator 2.
Six and one half is thirteen halfs
Add: 13/2 + 5/8 = 13 · 4/2 · 4 + 5/8 = 52/8 + 5/8 = 52 + 5/8= 57/8
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - thirteen halves plus five-eighths = fifty-seven eighths.
Shaniqua has 12 apples to divide into eating and using in an apple pie. If she puts at least 3 apples in each group, how many different ways can she divide the apples?
Answer:
4..?
Step-by-step explanation:
Find the quotient of: -5/7 and -6/49
Problem
Find the quotient of: -5/7 and -6/49
Solution
For this case we can solve the problem with this formula:
\(-\frac{5}{7}\cdot-\frac{49}{6}=\frac{245}{42}\)And if we simplify dividing both numbers by 7 we got:
35/6
PLZ PLZ HELP ME I NEED THIS FOR ONE OF MY FIANLE ASSIGNMENTS OF THE YEAR AND WHOEVER ANSWERS CORRECTLY WILL GET BRAINLEST
5×4=20 is closer to 24.9344.
\(487 \times 512=24.9344\)
Let's try placing the decimals after the hundreds place.
\(4.87 \times 5.12=24.9344\)
It works.
There is more than one possibility.
\(.487 \times 51.2=24.9344\)
\(48.7 \times .512=24.9344\)
The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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Manny is an online student who currently owns an older car that is fully paid for. He drives, on average, 190 miles per week to commute to work. With gas prices currently at $ 2.9 per gallon, he is considering buying a more fuel-efficient car, and wants to know if it would be a good financial decision. The old car Manny owns currently gets 18 miles per gallon for average fuel efficiency. It has been a great vehicle, but with its age, it needs repairs and maintenance that average $ 770 per year (as long as nothing serious goes wrong). The newer, more fuel-efficient car that he is looking at to purchase will cost a total of $ 6,500 over a three-year loan process. This car gets 32 miles per gallon and would only require an average of $ 10 per month for general maintenance. To help make a decision, Manny wants to calculate the total cost for each scenario over three years. He decides to use the quantitative reasoning process to do this.
The best decision to purchase a old car is cheaper compare to new car as per the total cost for each scenario over three years.
Compare the total costs of keeping his old car versus buying a new car, Manny needs to consider all the costs involved.
These include the cost of gas, the cost of maintenance and repairs, and the cost of purchasing the new car.
First, calculate the total cost of keeping his old car for three years.
Gas Cost,
Manny drives 190 miles per week,
which is approximately 9,880 miles per year 190 miles x 52 weeks.
With his old car's fuel efficiency of 18 miles per gallon,
He will use approximately 549 gallons of gas per year 9,880 miles ÷ 18 mpg.
At the current gas price of $ 2.9 per gallon, his annual gas cost will be $ 1,593 (549 gallons x $ 2.9 per gallon).
Over three years, his total gas cost will be $ 4,779.
Maintenance and Repairs Cost,
Manny's old car needs an average of $ 770 per year in maintenance and repairs.
Over three years, his total maintenance and repairs cost will be $ 2,310.
Total Cost of Keeping His Old Car,
Adding the gas cost and the maintenance and repairs cost,
Manny's total cost of keeping his old car for three years will be $ 7,089.
Now let's calculate the total cost of buying the new car.
Cost of Purchasing the New Car,
The new car costs $ 6,500, which he will pay over three years.
This works out to a monthly payment of approximately $ 181.94.
Gas Cost,
With the new car's fuel efficiency of 32 miles per gallon,
Manny will use approximately 309 gallons of gas per year (9,880 miles ÷ 32 mpg).
At the current gas price of $ 2.9 per gallon,
His annual gas cost will be $ 897.10 (309 gallons x $ 2.9 per gallon).
Over three years, his total gas cost will be $ 2,691.30.
Maintenance and Repairs Cost,
The new car will only require an average of $ 10 per month for general maintenance.
Over three years, his total maintenance and repairs cost will be $ 360.
Total Cost of Buying the New Car,
Adding the cost of purchasing the new car, the gas cost, and the maintenance and repair cost
= 6500 + 2691.30 + 360
=$9551.30
$9551.3 > $7089
Total cost of new car > Total cost of old car.
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please help! maths functions (find the equation of the line…)
Answer:
a) y = -2x + 3
b) y = -3x + 7
c) y = -1/2x + 4
d) y = 2
Step-by-step explanation:
Gradient is also known as slope
a) y = mx + b
3 = (-2)0 + b
b = 3
y = -2x + 3
b) y = mx + b
1 = (-3)(2) + b
1 = -6 + b
b = 7
y = -3x + 7
c) Slope m = (y2 - y1)/(x2 - x1)
m = (2 - 3)/(4 - 2) = -1/2
y = mx + b
3 = -1/2(2) + b
3 = -1 + b
b = 4
y = -1/2x + 4
d) The x‐axis or any line parallel to the x‐axis has a slope of 0.
y = mx + b
2 = -3(0) + b
b = 2
y = 2
Answer:
a) The equation of this line is y = -2x + 3
b) The equation of this line is y = -3x + 7
c) The equation of this line is y = -1/2x + 4 or y = -0.5x + 4
d) The equation of this line is y = 2
Step-by-step explanation:
The equation of a line can be written in the form y = mx + c, where m is the gradient and c is the y-intercept.
a) The equation of the line with a gradient of -2 and cutting the y-axis at 3 can be found using the point-slope form of a linear equation. The point-slope form is given by y - y1 = m(x - x1), where m is the gradient and (x1, y1) is a point on the line. Substituting m = -2 and (x1, y1) = (0, 3), we get:
y - 3 = -2(x - 0)
Simplifying the right-hand side gives:
y - 3 = -2x
Adding 3 to both sides gives the final equation:
y = -2x + 3
b) The equation of the line with a gradient of -3 and passing through the point (2, 1) can be found using the point-slope form again. Substituting m = -3 and (x1, y1) = (2, 1), we get:
y - 1 = -3(x - 2)
Simplifying the right-hand side gives:
y - 1 = -3x + 6
Adding 1 to both sides gives the final equation:
y = -3x + 7
c) To find the equation of the line passing through the points (2, 3) and (4, 2), we first need to find its gradient. The gradient is given by:
m = (y2 - y1)/(x2 - x1)
Substituting the coordinates of the two points, we get:
m = (2 - 3)/(4 - 2) = -1/2 or -0.5
Now, we can use the point-slope form again, this time with (x1, y1) = (2, 3) and m = -1/2:
y - 3 = (-1/2)(x - 2)
Simplifying the right-hand side gives:
y - 3 = (-1/2)x + 1
Adding 3 to both sides gives the final equation:
y = (-1/2)x + 4 or y = -0.5x + 4
d)The line is parallel to the x-axis and passes through the point (-3 ; 2). A line parallel to the x-axis has a gradient of 0. The general equation of a line is y = mx + c, where m is the gradient and c is the y-intercept. Since the gradient is 0, the equation becomes y = c. Since the line passes through the point (-3 ; 2), we can substitute y = 2 into the equation to find that c = 2. Therefore, the equation of this line is y = 2.
Help please help please give me explanation.NO LINKS OR I Will Report You
number 15! please help!!!!
Answer:
The answer is the second one
Step-by-step explanation:
Answer this question and I will mark you branilist
Answer: F
Step-by-step explanation:
If 30% of a number is 78 and 65% of the same number is 169, find 95% of that
number.
Answer:
let say the number is x, then 30x÷100=78, x=260...from this we can calculate 95 percent of 260 which is equal to 247
The 95 percentage of the number is A = 247
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the number be represented as n
Now , We can set up two equations based on the given information
30 percentage of the number is 78 ,
So , 0.3 ( n ) = 78
0.65 ( n ) = 169
Solving for n in the first equation, we get:
n = 260
Substituting n = 260 into the second equation, we can check that it is true:
0.65(260) = 169
Now, we can find 95% of the number by multiplying it by 0.95
0.95 x 260 = 247
Hence , 95% of the number is 247
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Write these fractions as whole nombers
8/4
21/3
56/8
48/8
Answer:2, 7, 7, 6
Step-by-step explanation:
Answer:
1) 8/4 = 2
2) 21/3 = 7
3) 56/8 = 7
4) 48/8 = 6
Step-by-step explanation:
To convert a fraction into a whole number: Divide the numerator by the denominator.
What's a numerator?:
A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.
What's a denominator?:
A denominator is the bottom number in a fraction. So, 4 in 8/4 is the denominator.
1) 8/4 = 8 divided by 4 = 2.
2) 21/3 = 21 divided by 3 = 7
3)56/ 8 = 56 divided by 8 = 7
4) 48 / 8 = 48 divided by 8 = 6
Please help will mark Brainly
Answer:
f(x) = - 2x + 4
Step-by-step explanation:
Since we are only trying to move the graph up 3 units, the slope does not change. So, it would be -2.
We also know that the 1 in f(x)= -2x + 1 is the y-intercept (y=mx+b). But again, we are moving the graph 3 units up, so we have to add 3. That makes it 4 (3+1=4).
So, the new equation would be f(x) = -2x + 4
Step-by-step explanation:
it simply means that g(x) is f(x) just shifted 3 units upwards.
that means nothing else changes, only whatever y result f(x) produces is increased by 3.
so,
g(x) = f(x) + 3 = -2x + 1 + 3 = -2x + 4
therefore, as domain and range were the whole set of real numbers, the addition of 3 does not make any difference in relation to infinity. so, they remain unchanged.
the slope stays the same (g(x) is simply a parallel line to f(x)).
the y-intercept (the y-value when x = 0) also increases by 3, and is 4.
the x-intercept (the x-value when y = 0) changes :
0 = -2x + 4
2x = 4
x = 2
the x-intercept is 2.
100 POINTS!! Explain how to solve the equation and how to check the solution.
40 = 8y
Answer:
y = 5
solve:
\(\sf 40 = 8y\)
\(\sf 8y = 40\)
\(\sf y = \dfrac{40}{8}\)
\(\sf y = 5\)
check:
\(\sf 8(5) = 40\)
\(\sf 40 = 40\)
note: changing sides, changes sign multiplication to division and vice versa.
Answer:
The answer is 5!
Step-by-step explanation:
To do this, we have to solve the equation.
8 × y = 40 [ 8 multiplied with a no. gives 40]
To know the value of the variable 'y' we have to divide 40 by 8 by transporting 8 to the Right hand side of the equation.
y = 40 ÷ 8
= 5
58.74% as a decimal due today
Answer:
0.5874
Step-by-step explanation:
Answer:
0.5874
Step-by-step explanation:
Getting 58.74 percent of a number is the same as multiplying the number 0.5874
Find all solutions of each equation on the interval 0≤ x <2pie
tan² x sec² x +2 sec²x - tan²x =2
The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.
How to solve a trigonometric equation
In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:
tan² x · sec² x + 2 · sec² x - tan² x = 2
Second, use trigonometric formulas to reduce the number of trigonometric functions:
tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2
Third, expand the equation:
tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2
tan⁴ x + 2 · tan² x = 0
Fourth, factor the expression:
tan² x · (tan² x - 2) = 0
tan² x = 0 or tan² x = 2
tan x = 0 or tan x = ± √2
Fifth, determine the solutions to trigonometric equation:
x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.
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Ben and Cam are scuba diving. Ben is 15.8 meters below the
surface of the water. Cam is 4.2 meters above Ben. What is Cam's
position relative to the surface of the water?
=======================================================
Explanation:
Check out the diagram below.
Draw a vertical number line with 0 at the center. The positive values are above it, while the negative values are below it.
Between -15 and -16, closer to -16, plot the value -15.8 to indicate Ben's position. I have done so as the point B.
We move 4.2 units up to arrive at Cam's position
-15.8 + 4.2 = -11.6
So Cam is 11.6 meters below the surface of the water.
2x - 3
M+
X + 4
X =
?
Answer:
x = 7
Step-by-step explanation:
Both equations have the same value, you have to solve for x
Let's make an equation:
2x-3 = x+4
Now you isolate one of the sides,, I will isolate the x on the first side so I will get rid of both x and 4
2x - 3 = x + 4
-x -x
=
x -3 = 4
Then you have to isolate x, so you add 3 on both sides
x - 3 = 4
+ 3 +3
x=7
So, the answer is x=7
Hope this helps!!
-Ketifa
Solve for x , Help asap
Answer:
x = -3.5
Step-by-step explanation:
Mark brainliest please!!
A rectangular paperboard measuring 20in long and 12in wide has a semicircle cut out of it, as shown below. What is the perimeter of the paperboard that remains after the semicircle is removed? (Use the value 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.)
A semicircle has been cut out of a rectangular paperboard that is 20 inches long and 12 inches broad, as seen below. After the semicircle is taken out, the paperboard's remaining perimeter is 34.58 inches.
The paperboard has a length of 20 inches and a width of 12 inches. A semicircle is cut out of it, which means we need to find the perimeter of the remaining part.
The diameter of the semicircle is equal to the width of the paperboard, which is 12 inches. So, the radius of the semicircle is half of the diameter, which is 6 inches.
The perimeter of the remaining part will be the sum of the length of the paperboard and the two straight sides of the semicircle.
The length of the paperboard is 20 inches, and the two straight sides of the semicircle are equal to the diameter of the semicircle, which is 12 inches. So, the perimeter of the remaining part is:
P = 20 + 12 + 12 = 44 inches
However, we also need to subtract the length of the curved part of the semicircle from the perimeter. The length of the semicircle can be found using the formula:
C = πr
where C is the circumference of the semicircle and r is the radius.
Since we have a semicircle, we need to divide the circumference by 2. So, the length of the curved part of the semicircle is:
C/2 = (π x 6) / 2 = 9.42 inches (rounded to two decimal places)
Therefore, the perimeter of the remaining part is:
P = 44 - 9.42 = 34.58 inches (rounded to two decimal places)
So, the perimeter of the remaining paperboard is 34.58 inches.
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The function f(x)=4^x-6 is transformed to function G through a vertical compression by a factor of 1/2. Complete the equation of function G .  enter the correct answer in the box. Substitute  numerical values into the equation for a and k.
g(x) = a(4)^x-k
The equation for the transformed function g(x) is: g(x) = 2.323 (4) raise to the power x-0.872/2
How to solve a function?
If the function f(x) is vertically compressed by a factor of 1/2, the equation for the new function g(x) is given by:
g(x) = a(4) raise to the power x-k/2
where "a" and "k" are constants that need to be determined. To find these constants, we can use the fact that the original function f(x) is equal to g(x) when the compression is applied:
f(x) = g(x)/2
Substituting the expression for g(x) into this equation and simplifying, we get:
4raise to the power x - 6 = a(4)raise to the power x-k/2
To solve for "a" and "k", we need to find two equations involving these variables. One way to do this is to evaluate the expression for f(x) at two different values of x, and then set those equal to the corresponding values of g(x)/2. For example, we can choose x = 0 and x = 1:
f(0) = 4 - 6 = -5
f(1) = 4- 6 = -2
Using the equation g(x)/2 = f(x), we can write:
g(0)/2 = -5
g(1)/2 = -2
Substituting the expression for g(x) into these equations, we get:
a(4) raise to the power -k/2 = -10
a(4) raise to the power 1-k/2 = -4
Taking the ratio of these two equations, we can eliminate the variable "a" and solve for "k":
(4)raise to the power -k/2 / (4) raise to the power 1-k/2 = -10 / -4
Simplifying this equation, we get:
4.raise to the power(1-k/2) = 5
Taking the logarithm of both sides (with base 4), we get:
1-k/2 = log4(5)
Solving for "k", we get:
k = 2 - 2 log4(5)
Substituting this value of "k" back into one of the equations we derived earlier, we can solve for "a":
a = -10 / (4) raise to the power -k/2
Substituting the numerical value of "k", we get:
k = 2 - 2 log4(5) ≈ 0.872
a = -10 / (4) raise ti the power -k/2 ≈ 2.323
Therefore, the equation for the transformed function g(x) is:
g(x) = 2.323 (4)raise to the power x-0.872/2
or equivalently:
g(x) = 1.1615 (4) raise to the power -x0.872
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Answer:
g(x) = 1/2 (4)^x - 3
Step-by-step explanation:
A vertical compression by a factor of 1/2
means that the entire function f is multiplied by 1/2:
1/2 f (x) = 1/2 (4^x - 6)
= 1/2 (4)^x - 3
What is the answer to Y=30x+25
Answer:
x=1/30y + -5/6
Step-by-step explanation:
Match each statement with the correct reasoning in the proof below.
Answer: segment AM is congruent to segment CM and segment BM is congruent to segment DM is for 1, the triangles one for 2 (I'm not very sure about this one), the angles one for 3 ( this one either). vertical angles are conguent for 4 and 5 is if both pairs of opposite sides are congruent, a quadrilateral is a parallelogram.
Step-by-step explanation:
Wheel Fun offers rentals of paddle boats that can be enjoyed by 2 or 3 riders. The price for renting a paddle boat is $15 for each hour. Customers must also pay a $20 deposit on the rental. Write an equation that can be used to determine the price, y for renting a paddle boat for x, hours?
Answer:
15+20=35+15 And then add an additional plus 15 for each hour
Step-by-step explanation:
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Compare negative one and six tenths repeating and negative five thirds using symbols <, >, or =. negative one and six tenths repeating is less than negative five thirds negative one and six tenths repeating is greater than negative five thirds negative five thirds is equal to negative one and six tenths repeating negative five thirds is greater than negative one and six tenths repeating
Answer:
-1 6/10
is greater than
- 5/3
Step-by-step explanation:
If one half gallon of paint covers 1/8 of a wall then how much paint is needed to cover the entire wall
Answer:
4 gallons of paint
Step-by-step explanation:
We know that 1/2 gallon paints 1/8 of a wall.
We can multiply to find the total amount.
1/2 * 8 = 4 gallons
Best of Luck!
Answer:
4 Gallons
Step-by-step explanation:
if one gallon equals 2/8 then 4 gallons equals 8/8