Answer:
x=10
Step-by-step explanation:
First combine like terms:
14x + 40 = 180
Second subtract 40 from both sides:
14x = 140
Third divide both sides by 14:
x = 10
Which statement proves that quadrilateral UWXY is a parallelogram? A. Diagonals UX and WY bisect each other B. Diagonals UX and WY are perpendicular C. Sides UW and XY are congruent D. Sides UW and XY are parallel (there was no given figure just this)
Answer: It’s D, i got it right!!
Step-by-step explanation:
Find the pattern, then write the next two numbers.
0, 2, 6, 12, 20,
Answer:
30, 42
Step-by-step explanation:
You add 2 to the additional 2 you started with
0+2=2
2+(2x2)=6
6+(2x3)=12
The required next two-term of the sequence is 30 and 42.
Given that,
To determine the pattern and next two-term of numbers 0, 2, 6, 12, 20.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
The given sequence is,
0, 2, 6, 12, 20,
a0 = 0,
a1 = 2
nth term an = a(n - 1) + 2(n - 1)
For 6th term
n = 6
6th term = a(6 - 1) + 2(6 - 1)
a6 = a5 + 10
a6 = 20 + 10
a6 = 30
7th term,
an = a(n -1) + 2 (n - 1)
a7 = a6 + 2*6
a7 = 30 + 12
a7 = 42
Thus, the required next two-term of the sequence is 30 and 42.
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GIVING BRAINLIEST. Write a proportion that could be used to solve for each variable. Then solve. 12 balls in 2 boxes 78 balls in x boxes a. 12/2 = 78/x; x = 13 c. 12/2 = 78/x; x = 12 b. 2/12 = 78/x; x = 468 d. 12/2 = x/78; x = 458
Answer:
B. 2/12 = 78/x ; x = 468
Step-by-step explanation:
12/2 = 78/x
6 = 78/x
6 x 78 = x
468
Draw 2 supplementary angles. One angle is x-15 degrees and one is 2x degrees. What is the value of x in degrees?
Answer:
Step-by-step explanation:
Since they are supplementary, it means the addition of both angles gives 180 degree.
[tex]x - 15 + 2x = 180\\3x = 180 + 15\\3x = 195\\x = \frac{195}{3} \\x = 65[/tex]
Bridget takes a 5-inch by 4-inch rectangle of fabric and cuts from one corner of the piece of fabric to the diagonally opposite corner. Now Bridget has two equally sized triangles of fabric. What is the perimeter of each triangle? If necessary, round to the nearest tenth.
Answer:
Perimeter of each triangles are equivalent to 15.4 inches.
Step-by-step explanation:
Given:
A rectangle :
Length of the rectangle = 5 inches
Width of the rectangle =4 inches
As Bridget cuts it from one corner to the other corner,its forms two right angled triangle.
The diagonal will be treated as the hypotenuse.
Lets say that the length of the hypotenuse is 'x'.
Using Pythagoras formula:
⇒ [tex](hypotenuse) = \sqrt{(perpendicular)^2+(base)^2}[/tex]
Plugging the values:
⇒ [tex]hypotenuse = \sqrt{5^2+4^2}[/tex]
⇒ [tex]hypotenuse = \sqrt{25+16}[/tex]
⇒ [tex]hypotenuse =\sqrt{41}[/tex]
⇒ [tex]hypotenuse = 6.40[/tex] inches
Now we have to find the perimeter :
Perimeter = Summation of length of all sides.
So,
Perimeter of each triangle = (length + width + hypotenuse)
⇒ [tex]Perimeter =(5+4+6.4)[/tex]
⇒ [tex]Perimeter =15.4[/tex] inches
Perimeter of each triangle, as they are equally sized are same that is 15.4 inches.
5. The measures of the angles of a triangle are in the extended ratio 17:16:12. What is the measure of the (1 point)
largest angle?
O 34
O45
O48
068
2 to the 3rd power times 4 divided by 2 plus 2
Answer: 18
Step-by-step explanation: 2 x 2 x 2= 8
8 x 4 = 32
32 / 2 = 16
16 + 2 = 18
In right triangle PQR PR=17 RQ=15 PQ =8 What is tan P
What is the answer
Answer:
The value of tan P = 1.875
Step-by-step explanation:
Given:
PR=17
RQ=15
PQ =8
To find:
tan P = ?
Solution:
In trigonometric ratio
tan = [tex]\frac{opposite}{adjacent}[/tex]
Now on substituting the given values(refer the figure)
tan (P) =[tex]\frac{15}{8}[/tex]
tan (P) = 1.875
at dinner jermey and his friend spent $24. They left a 20% tip and then slpit the cost? How much did eacj person pay
Answer: They each paid $2.40.
A store sells cantaloupes at a price of 6 for $9.00. Henry wants to send 24 cantaloupes to his grandmother. How much will Henry spend if he buys the cantaloupes at the store?
Answer: $36
Step-by-step explanation:
Each cantaloupe is $1.5.
Answer:
he will spend 36 dollars because 24 ÷ 6 = 4 and 9$ times 4 = 36$
Find the equation of a line that is parallel to line g that contains (P, Q).
the coordinate plane has a line g that passes through the points (-3,2) and (0,5).
3x − y = 3P − Q
3x + y = Q − 3P
x − y = P − Q
x + y = Q − P
Correct option:
[tex]\boxed{x-y=P-Q}[/tex]
Explanation:
Given that the line we are looking for is parallel to g, then the slope of that line and g is the same, therefore:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ (x_{1},y_{1})=(-3,2) \\ \\ (x_{2},y_{2})=(0,5) \\ \\ \\ m=\frac{5-2}{0-(-3)}=1[/tex]
So we can write the point-slope form of the equation of the line as follows:
[tex]y-y_{0}=m(x-x_{0}) \\ \\ (x_{0},y_{0})=(P,Q) \\ \\ \\ y-Q=1(x-P) \\ \\ y-Q=x-P \\ \\ \\ Arranging: \\ \\ P-Q=x-y \\ \\ \boxed{x-y=P-Q}[/tex]
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A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope and b is the y intercept.
Line g passes through (-3,2) and (0,5). hence:
[tex]Slope\ of\ line\ g=\frac{y_2-y_1}{x_2-x_1}=\frac{5-2}{0-(-3)}=1[/tex]Two lines are parallel if they have the same slope. Hence:
Line parallel to line g has a slope of 1. Since it passes through (P, Q), hence:
[tex]y-y_1=m(x-x_1)\\\\y-Q=1(x-P)\\\\y-Q=x-P\\\\x-y=P-Q[/tex]
The equation of a line that is parallel to line g that contains (P, Q) is x - y = P - Q
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what is the area of the composite figure ? enter your answer in the box . use 3.14 for pi
Answer:
The area of the composite figure = 12.785 square units
Step-by-step explanation:
The figure composite of :
A ⇒ Rectangle with coordinates (0,0) , (0,5) , (2,5) and (2,0)
B ⇒ Rectangle with coordinates (2,0) , (2,1) , (4,1) and (4.0)
C ⇒ Quarter of a circle with coordinates (2,1) , (2,2) and (3,1)
Area of A: Length = 5 and Width =2
Area of A = Length times the width = 5*2 = 10 square units
Area of B: Length = 2 and Width =1
Area of B = Length times the width = 2*1 = 2 square units
Area of C: radius = 1
Area of C = 0.25 * pi * r² = 0.25 * 3.14 * 1² = 0.785 square units
Total Area = 10 + 2 + 0.785 = 12.785 square units
Answer:
the answer is 12.785
Step-by-step explanation:
i took the test
If there are 21 chickens on the farm and 10 die, how many are still left on the farm?
Answer:
11 live chickens and 10 dead chickens
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
21-10=11
RIP chickens
Which equation represents the line of best fit for the scatter plot?
A. y=x+10
B. y=2x+10
C. y=-x+10
D. y=-2x+10
the equation line of the scatter plot is y = ×+10
Please help with question number three. Only first and third. I appreciate your help, I am lost!
I'll do the first part to get you started.
--------------------
Area = 1/2
Length = 7/8
Width = W
Area of rectangle = Length*Width
A = L*W
1/2 = (7/8)*W
(8/7)*(1/2) = (8/7)*(7/8)*W .... see note1 below
(8*1)/(7*2) = (8*7)/(7*8)*W .... see note2
8/14 = (56/56)*W
4/7 = 1*W .... see note3 and note4
W = 4/7Final Answer: 4/7--------------------
Foot notes
note1: I multiplied both sides by the reciprocal of 7/8, that way the "7/8" on the right side cancels out (as you'll see in a few steps later)note2: I used the rule (a/b)*(c/d) = (a*c)/(b*d)note3: the 56/56 turns into 1, and later on 1*W becomes just Wnote4: 8/14 reduces to 4/7 after dividing both parts by 2how do you write 11% as a decimal?
Answer: 0.11
Step-by-step explanation: To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100.
So we can think of 11% as the ratio 11 to 100 or 11 divided by 100.
Dividing by 100 moves the decimal point 2 places to the left so 11 divided by 100 would move the decimal point 2 places to the left which would give us .11 or 0.11.
So 11% can be written as the decimal 0.11.
Find the value of the expression:
a
p^2q^2+pq–q^3–p^3 for p=1 and q=−1
Answer:
0
Step-by-step explanation:
Put the numbers where the letters are and do the arithmetic.
(1)^2(-1)^2 +(1)(-1) -(-1)^3 -(1)^3
= 1·1 -1 -(-1) -1
= 1 - 1 + 1 - 1 = 0
The value of the expression is 0.
There are 14 books on a shelf. 9 of these books are new.
(a) What is the ratio of all books to used books?
(b) What is the ratio of used books to new books?
Answer:
all books to new books- 14:5
used books to new books- 5:9
Step-by-step explanation:
Answer: a. 14:5 b. 5:9
Step-by-step explanation:
There are 14 books and 9 are new so subtract 9 from 14 and get 5 and your ration would be 14:5. Once you have the answer to a you know how many new books there are and how many old books there are, so you can easily figure out the ratio would be 5:9.
Solve for x.
3x = 6x – 2
Answer:
x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given
3x = 6x - 2 ( subtract 6x from both sides )
- 3x = - 2 ( divide both sides by - 3 )
x = [tex]\frac{-2}{-3}[/tex] = [tex]\frac{2}{3}[/tex]
Answer:
x=2/3
Step-by-step explanation:
Its just right
Find an equation for the parabola with focus at (-5,-4) and vertex at (-5,-3)
Answer:
[tex](x+5)^{2}=-4(y+3)[/tex]
Step-by-step explanation:
Given:
Focus point = (-5, -4)
Vertex point = (-5, -3)
We need to find the equation for the parabola.
Solution:
Since the x-coordinates of the vertex and focus are the same,
so this is a regular vertical parabola, where the x part is squared. Since the vertex is above the focus, this is a right-side down parabola and p is negative.
The vertex of this parabola is at (h, k) and the focus is at (h, k + p). So, directrix is y = k - p.
Substitute y = -4 and k = -3.
[tex]-4 = -3+p[/tex]
[tex]p=-4+3[/tex]
[tex]p=-1[/tex]
So the standard form of the parabola is written as.
[tex](x-h)^{2}=4p(y-k)[/tex]
Substitute vertex (h, k) = (-5, -3) and p = -1 in the above standard form of the parabola.
So the standard form of the parabola is written as.
[tex](x-(-5))^{2}=4(-1)(y-(-3))[/tex]
[tex](x+5)^{2}=-4(y+3)[/tex]
Therefore, equation for the parabola with focus at (-5,-4) and vertex at (-5,-3)
[tex](x+5)^{2}=-4(y+3)[/tex]
use limits to find the area of the region bounded by the graph f(x)=4-2x^3 , the x-axis , and the vertical lines x=0 and x=1
A) 7
B) infinity
C) 7/2
D) 7/4
Answer:
[tex]\frac{7}{2}[/tex] square units.
Step-by-step explanation:
We have to use limits to find the area of the region bounded by the graph [tex]f(x) = 4 - 2x^{3}[/tex] , the x-axis, and the vertical lines x=0 and x=1.
So, the area will be
A = [tex]\int\limits^1_0 {(4 - 2x^{3})} \, dx[/tex]
= [tex][4x - \frac{x^{4}}{2} ]^{1} _{0}[/tex]
= [tex]4 - \frac{1}{2}[/tex]
= [tex]\frac{7}{2}[/tex] square units. (Answer)
answer the question Please ASAP
The independent variable is
A: Number of friends (f)
B: Number of cost (c)
The dependent variable is
A: Number of friends (f)
B: Number of cost (c)
The equation that can be used to represent this relationship:
A: c = 20f
B: f = 20c
C: c = 10f
D: f = 10c
Answer:
Independent variable is A.
Dependent variable is B.
The equation that can be used to represent the relationship is B. F=20c
Step-by-step explanation:
To answer the question, the independent variable is A. Number of friends (f). Because we know the cost is $20. And the dependent variable is B. because we know the cost so that's the dependent variable. The equation that can be used to represent this relationship is B. F=20c because we need to know how many friends are gonna be at Hank's party.
What is the value of -36÷(-4/9)
The value of -36 divided by (-4/9) is 81, which is found by multiplying -36 with the reciprocal of (-4/9), giving the result 324/4, which simplifies to 81.
To find the value of -36 divided by (-4/9), you can think of division by a fraction as multiplication by its reciprocal. So, the problem changes from division to multiplication: -36 * (-9/4). To solve this:
First, multiply the numerators: -36 * -9 = 324.
Then, multiply the denominators: 1 * 4 = 4.
Now, divide 324 by 4 to get 81.
Therefore, the value of -36 divided by (-4/9) is 81.
9 pounds for $1.50 how many pounds for $1.00
1. Find how much one pound is.
- to do this, divide 1.50 by 9. This will give you one pound.
2. Figure out how many times 1 pound can go in a dollar.
proportion
[tex]\frac{9}{1,5} = \frac{x}{1} \\[/tex]
1.5x=9*1
1.5x=9
x=[tex]\frac{9}{1.5}[/tex]
x=6
How many cubic feet of concrete are needed to pour 4 cylindrical pillars 5 feet high with a diameter of 4 inches?
Answer: 1.75 cubic feet concrete is needed.
Step-by-step explanation:
Alright, lets get started.
The volume of the pillar is : [tex]\pi r^2h[/tex]
We have given the height is 5 feet.
We have given the diameter is 4 inches.
So the radius will be : [tex]\frac{4}{2}=2 \ inches[/tex]
Converting inches into feet.
The radius will be : [tex]\frac{2}{12} \ feet[/tex] [tex]= 0.167 feet[/tex]
So the volume of the cylinder will be : [tex]\pi * 0.167^2*5[/tex]
So the volume of the cylinder will be : [tex]0.4380 \ cubic \ feet[/tex]
As there are 4 pillars, so total volume will be : [tex]4*0.4380[/tex]
So, total volume will be : [tex]1.75 \ cubic \ feet[/tex]
Hence 1.75 cubic feet concrete is needed. : Answer
Hope it will help :)
Answer:
1.75 cubic feet
Step-by-step explanation:
Measure the diameter of the cylinder. ...
Hope this helps
How do you solve X+10y=-9 X=5y+21
Answer:
Step-by-step explanation:
Alice is planning her next vacation. She budgeted 110 for travel expenses, and she expects to spend 120 each day for food and lodging. Her total budget for the trip is 710 . How many days can Alice have for her vacation without exceeding her budget?
Answer:
5 days to spend exactly $710
Step-by-step explanation:
Answer:
5 days
Step-by-step explanation:
5 x 120 = 600
600 + 110 = 710
f(x) = 4x + 6, g(x) = 2x2
Find (fg)(x).
We know x in f(x) is g(x) which is 2x^2 because we are to find (fg)(x)
f(x)=4(2x^2)+6
f(x)=8x^2+6
So (fg)(x) is 8x^2+6
Hope this helped!
(4x+6)(2x^2) = 8x3 + 12x2
The sum of two numbers is 100 and their difference is -20. What are the two numbers?
Answer:
x=40 and y= 60
Step-by-step explanation:
step:1
Let 'x' and 'y' are two numbers
given data the sum of two numbers is 100
x+y = 100......(1)
Given difference of two numbers are
x - y = -20 ......(2)
Step :2
solving the equation (1) and (2)
adding the equations (1) and (2)
x+y+x-y=100-20
cancelling 'y' terms are
2 x = 80
dividing "2" on both sides, we get
x = 40
Step :3
substitute x = 40 in equation (1)
x + y =100
40 + y = 100
subtracting "40" on both sides, we get
40 + y - 40 = 100 -40
y = 60
Final answer:-
The two numbers are x = 40 and y= 60
Rectangle 25 feet long. It has a perimeter of 130 feet. What is the area of the basement?
Final answer:
To find the area of the basement, we started with the given perimeter of 130 feet and the known length of 25 feet and solved for the missing width. Once we determined the width was 40 feet, we used the formula for the area of a rectangle (Area = length × width) to calculate that the basement's area is 1000 square feet.
Explanation:
To solve the question regarding the area of a rectangle where the length is 25 feet and the perimeter is 130 feet, we must first deduce the width of the rectangle using the perimeter formula: P = 2l + 2w (where P is the perimeter, l is the length, and w is the width). Since we know the perimeter (P) and the length (l), we can rearrange this formula to solve for the width (w).
The perimeter formula is expressed as:
130 = 2(25) + 2w
130 = 50 + 2w
2w = 130 - 50
2w = 80
w = 40 feet
Now that we have both the length and the width, we can calculate the area of the rectangle using the formula Area = length × width.
Therefore, the area of the rectangle is:
Area = 25 feet × 40 feet
Area = 1000 square feet