Answers:
1.) -y+9z-16y-25z = -17y-16z
2.) 6x +3y-y+2+2 = 6x+2y+4
3.) 9b + 5(b - 4) + 15 = 14b-5
4.) -4(3x + 5) + 10x + 1 = -2x-19
5.) 0.5(y + 4) + 18y - 9 = 18.5y-7
6.) -0.7r+9(-r-15) = -9.7r-135
Ryan plays basketball. Last year he averaged 22.8 points per game during his team’s 20 game
season. The schools record for total points scored in a season is 500 points. If Ryan increases his
scoring by 25%, will he break the school’s record? Show all work to support your conclusion.
Answer:
He would break the school record by 70 points.
Step-by-step explanation:
22.8*20= 456
456*.25= 114 (how many points he would be getting if he increased his scoring by 25%)
456+114= 570
Select whether the equation has a solution or not
-roots
-no roots
What is m<1 if m<3=80
Angles 1 and 3 are vertical angles, so they are congruent.
Simplify |-10| + |5|
Answer:
Answer: 15
Step-by-step explanation:
Answer: 15
Step-by-step explanation:
Simplify |-10| to 10.
10+∣5∣
Simplify.
15
A circle has the equation x2+y2−8x−2y−17=0.
What is the equation of the circle in standard form?
(x−4)2+(y−1)2=34
(x+4)2+(y−1)2=34
(x−4)2+(y−1)2=17
(x+4)2+(y−1)2=17
Answer:
A
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 8x - 2y - 17 = 0
Collect the x- terms and the y- terms together and add 17 to both sides
x² - 8x + y² - 2y = 17
Use the method of completing the square on both x and y terms.
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 17 + 16 + 1
(x - 4)² + (y - 1)² = 34 → A
Answer:
(x−4)2+(y−1)2=34
Step-by-step explanation: hope this helps :)
Tom invested £1000 for 2 years with Bettabank.
He got 2.5% simple interest each year.
Jay invested £1000 for 2 years with Moneyplus.
She got a total of £60 interest for the 2 years.
Show that Jay got the better investment.
Answer:
Since Tom got only £50 while Jay got £60 for th same amount invested in the same time, Jay got the better investment.
Step-by-step explanation:
In order to show that Jay got a better investment we first need to calculate how much Tom earnt in simple interest during those two years. In order to do that we must apply the correct formula shown below:
M = c*r*t
Where M is the total of interest, c is the amount invested, r is the rate of interest and t is the time elapsed. Thefore Tom got:
M = 1000*0.025*2
M = £50
Since Tom got only £50 while Jay got £60 for th same amount invested in the same time, Jay got the better investment.
The height and radius of a cylinder are 23cm and 5cm what the volume?
Answer:
Around 1806.42
help please guys!!!!
Answer:
they are like terms
Step-by-step explanation:
the sign ± is not a matter only veriable and power
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
how do you expand (x-10)(x-10)
what is the area of this parallelogram h=2 in. b = 10 in .
Answer:
20 in^2
Step-by-step explanation:
smh
base * height = area
Answer:
20
Step-by-step explanation:
B X H
A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?
y = negative one-fifth x + 1
y = one-fifth x + 3
y = –5x – 23
y = 5x + 27
Answer:
a. y = negative one-fifth x + 1
Step-by-step explanation:
The linear function of a line that passes through points (–5, 2) and (10, –1) will be y = (-1/5)x + 14.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
The line passes through points (–5, 2) and (10, –1)
Slope m = (-1 - 2)/(10 + 5)
Slope m = -3/15
m = -1/5
Thus, y = (-1/5)x + c
Put (10, –1)
-1 = (-1/5)10 + c
c = 14
Thus, the linear equation will be as, y = (-1/5)x + 14
Hence "The linear function of a line that passes through points (–5, 2) and (10, –1) will be y = (-1/5)x + 14.".
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What is the area of figure ABCD?
104 square inches
120 square inches
136 square inches
168 square inches
Answer:
The answer is option 2.
Step-by-step explanation:
You have to use the formula of area of trapezium :
[tex]area = \frac{1}{2} \times (ab + cd) \times bc[/tex]
Let AB be 13 inches,
Let CD be 17 inches,
Let BC be 8 inches,
[tex]A = \frac{1}{2} \times (13 + 17) \times 8[/tex]
[tex] = \frac{1}{2} \times30 \times 8[/tex]
[tex] = \frac{1}{2} \times 240[/tex]
[tex] = 120 \: {inches}^{2} [/tex]
. Which one of the following equals a negative
number?
A) (-5) +9
B) (-9) + 5
C) 9+ 5
D) 5+(-9) +4
F) 9-(-5)
Answer:
b
Step-by-step explanation:
looked it up
Answer:
i think its b
4x^4 -2x^3 -6x+3
How do I factor this four term polynomial?
Maths attachment Pythagoras theorem
The Pythagorean theorem, established by the ancient Greek philosopher Pythagoras, defines the relationship in a right-angled triangle between the squares of the lengths of the legs (a and b) and the hypotenuse (c) with the famous equation: a² + b² = c².
Explanation:The Pythagorean Theorem
The Pythagorean theorem is a fundamental principle in the field of mathematics, specifically in geometry. It was established by the ancient Greek philosopher, Pythagoras, who made significant contributions to understanding the relationships in geometric figures. The theorem reveals a specific relationship between the sides of a right-angled triangle. It states that the square of the length of the hypotenuse (√), which is the side opposite the right angle, is equal to the sum of the squares of the lengths of the other two sides. This can be elegantly expressed in the formula: a² + b² = c². Here, a and b represent the legs of the triangle, while c represents the hypotenuse.
For example, if a right triangle has legs of lengths 9 units and 5 units, using the Pythagorean theorem, we can calculate the length of the hypotenuse. We would square each of the legs (√9² + 5²), add these together, and take the square root to find that the hypotenuse is approximately 10.3 units long.
This theorem is not only a theoretical concept but is also practical in various real-world scenarios, such as calculating distances in navigation. An old adage suggests that the shortest distance between two points is a straight line. When dealing with the distances on a map or between points in space, a right triangle can often form, and using the Pythagorean theorem allows us to calculate the direct straight-line distance (hypotenuse) easily.
Which graph is given by the radical equation?
d
Step-by-step explanation:
The table shows the scores of 10 students in Mr. Garcia’s 3rd period math class on their last 20-point quiz.
Name Quiz Score
Kelsey 18
Adam 12
Matthew 15
Maria 10
Victoria 13
Michael 20
Jessica 16
Anna 12
Brandon 18
Luis 6
What is the absolute deviation of Victoria’s quiz score from the mean?
A. 0 points
B. 2 points
C. −1 point
D. 1 point
Please give an answer
Which pair of
expressions are
equivalent?
A. 8(2r) and 10r B. 6r + 3 and 9r
C. 9(3r-4) and 27r - 36
D. r+r+r+r+r and r^5
The pair of expressions that are equivalent are 6r + 3 and 9r, and 9(3r-4) and 27r - 36.
Let's simplify each expression to see which pairs are equivalent:
A. 8(2r) = 16rB. 6r + 3 = 9rC. 9(3r - 4) = 27r - 36D. r + r + r + r + r = r^5Now, let's compare them:
A. 16rB. 9rC. 27r - 36D. r^5The equivalent pairs are:
B. 6r + 3 and 9r (after simplification, both equal 9r)C. 9(3r - 4) and 27r - 36 (after simplification, both equal 27r - 36)So, the correct answer is:
B. 6r + 3 and 9r C. 9(3r-4) and 27r - 36
A car race is 500 miles long. If each lap is 2 miles and 50 laps have already
been completed, how many more laps are left in the race?
laps
Answer:
200 laps left
Step-by-step explanation:
50 * 2 = 100
100 miles have been completed
500 - 100 = 400
400 miles left
400 / 2 = 200
200 laps left
Mike thought of a number. He added to it to two other numbers. One of these numbers was 12 less than his number, the other was 12 more than his number. The result of the addition was 15. What was Mike’s original number?
If Mikes original number is x, the equation is?
The number is?
Answer:
number 1 + number 2 + number 3 = 15
Number 1 = x + 12
Number 2 = x - 12
Number 3 = x
(x + 12) + (x - 12) + x = 15
x + 12 + x - 12 + x = 15
x + x + x +12 -12 = 15
3x = 15
x = 15/3 = 5
Check:
Number 1 = 17
Number 2 = 5 -12 = -7
Number = 5
number 1 + number 2 + number 3 = 15
17 + (-7) + 5 = 15
10 + 5 = 15
15 = 15
Answer is 5
Step-by-step explanation:
which expression has a value of 36 when x = 4 and y=7
Answer:84
Step-by-step explanation:you have to add 54 plus 3
What is the value of each person?
2 Points
To convert 13 feet to yards, you would use the ratio yan
3 feet
O A. True
O B. False
Answer:
True
Step-by-step explanation: 1 yard = 3 feet
The fuel consortium chairman at an airport recorded the cost per barrel of crude oil and the cost per barrel of jet fuel each week.
After plotting his results, the chairman noticed that the relationship between the two variables was fairly linear, so he used the data to calculate the following least squares regression equation for predicting the cost, in dollars, per barrel of jet fuel from the cost, in dollars, per barrel of crude oil.
y^=2+7/6x
What is the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs 78$. THE ANSWER IS $6!!
Answer:
Residual for the week will be $6.
Step-by-step explanation:
Regression equation predicting the per barrel cost of jet fuel is,
[tex]\hat{y}=2+\frac{7}{6}x[/tex]
where, [tex]\hat{y}[/tex] = cost of jet fuel
x = cost of crude oil per week
If the cost of crude oil in any week = $60
Then predicted cost of jet fuel,
[tex]\hat{y}=2+[\frac{7}{6}\times (60)][/tex]
= 2 + 70
= $72
Residual price = Actual cost - predicted cost
= $78 - $72
= $6
Therefore, residual price will be $6.
The residual of the week in which a barrel of crude oil costs $60 is $6
The least square regression equation is given as:
[tex]\mathbf{\^y = 2 + \frac 76x}[/tex]
When a barrel of crude oil costs $60, it means that x = 60.
So, we have:
[tex]\mathbf{\^y = 2 + \frac 76 \times 60}[/tex]
[tex]\mathbf{\^y = 2 + 7 \times 10}[/tex]
Multiply
[tex]\mathbf{\^y = 2 + 70}[/tex]
Add
[tex]\mathbf{\^y = 72}[/tex]
So, we have:
Actual Cost = $78
Predicted Cost = $72
The residual is then calculated as:
[tex]\mathbf{Residual = Actual - Predicted }[/tex]
This gives
[tex]\mathbf{Residual = \$78 - \$72}[/tex]
Subtract
[tex]\mathbf{Residual = \$6}[/tex]
Hence, the residual of the week is $6
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What is true about the points on the graph of y=2x?
A. Two of the coordinates on the graph are solutions to the equation y=2x.
B. There is one coordinate on the graph that makes y=2x true.
C. As the x-coordinates increase by 1, the y-coordinates increase by 2.
D. You can substitute the x-coordinate into the expression 2x to get the y-coordinate.
The correct statements about the graph of the equation y=2x are that as the x-coordinates increase by 1, the y-coordinates increase by 2, and you can get the y-coordinate by substituting the x-coordinate into 2x.
Explanation:Concerning the equation y=2x, option C is the correct statement about the graph. This is because linear equations like this represent a direct proportionality between variables x and y. When the x-coordinate increases by 1, the y-coordinate increases by the coefficient of x, in this case, 2, reflecting the equation's slope which is the constant rate of change for y in relation to x. Option D is also true because, for any point on the graph, substituting the x-coordinate into the expression 2x will yield the corresponding y-coordinate, as per the definition of a functional relationship in algebra. Thus, solutions to the equation y=2x include an infinite number of points on the graph, not just two as stated in option A, making options A and B incorrect.
3.43
Can you help me Simplify this question
Answer:
192
Step-by-step explanation:
3 * 4^3
Using PEMDAS
Exponents first
4^3 = 4*4*4 = 64
Replace into the expression
3 *64
3*64 =192
The ratio of the lengths of the radii of two spheres is 5 : 8. What is the ratio of the surface area of the smaller sphere to the surface area of the larger sphere?
1
5
8
25
40
64
125
512
The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,
⇒ 25 : 64
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio of the lengths of the radii of two spheres is 5 : 8.
Now, We get;
The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,
⇒ 5² : 8²
⇒ 5² / 8²
⇒ 25 / 64
⇒ 25 : 64
Thus, The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,
⇒ 25 : 64
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The area of a triangular block is 36 square inches. If the base of the triangle is twice the height, how long is the base of the triangle?
Answer: height as h and base as 2h.
A = ½(b)(h). Substituting known facts gives 36 =½(2h)(h), which means that 36 = h2
and therefore h = 6 inches, height = 12 in.
Step-by-step explanation: I hope this helps :]
Final answer:
To determine the length of the base of the triangle with an area of 36 square inches and the base being twice the height, we use the area formula for a triangle (A = bh/2). After solving the equation, we find that the height is 6 inches and the base, being twice the height, is 12 inches.
Explanation:
The question asks to find the length of the base of a triangle given the area and a relationship between its base and height. We can use the formula for the area of a triangle, which is A = bh/2, where A is the area, b is the base, and h is the height of the triangle. Given the area of 36 square inches and the base being twice the height (b = 2h), we substitute into the area formula to solve for the base.
Plugging in the values, the equation becomes:
36 = (2h)h/2
Multiplying both sides by 2 to eliminate the fraction gives us:
72 = (2h)(h)
Which simplifies to:
72 = 2h^2
Dividing both sides by 2 gives us:
h^2 = 36
And taking the square root of both sides yields:
h = 6 inches
Knowing that the base is twice the height, we can find the base:
b = 2h = 2(6) = 12 inches
Therefore, the length of the base of the triangle is 12 inches.
Dove lotion is $26.50 for a 24 oz bottle and $25 for a 22 oz bottle which is the better buy by how many ounces
If the diameter of the smaller circle is 7 km and the width of the circular path is 0.5 km, find the area of the path. (Assume π=3.14)
Answer:
12.1
Step-by-step explanation:
Answer: 12.1
Because you have to plug in your numbers in the expression d = 7km