Answer:
8.76
Step-by-step explanation:
Simplifying
15.00 + -6.24 = b
Combine like terms: 15.00 + -6.24 = 8.76
8.76 = b
Solving
8.76 = b
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '-1b' to each side of the equation.
8.76 + -1b = b + -1b
Combine like terms: b + -1b = 0
8.76 + -1b = 0
Add '-8.76' to each side of the equation.
8.76 + -8.76 + -1b = 0 + -8.76
Combine like terms: 8.76 + -8.76 = 0.00
0.00 + -1b = 0 + -8.76
-1b = 0 + -8.76
Combine like terms: 0 + -8.76 = -8.76
-1b = -8.76
Divide each side by '-1'.
b = 8.76
Simplifying
b = 8.76
Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try plotting the points on a coordinate plane. For the rectangle FROG, the perimeter is . Find the area of the rectangle FROG. For the rectangle FROG, the area is
Answer:
Part 1) The perimeter of rectangle is equal to 24 units
Part 2) The area of rectangle is equal to 32 square units
Step-by-step explanation:
Part 1) Find the perimeter of rectangle
we know that
The perimeter of rectangle is equal to
[tex]P=2(L+W)[/tex]
where
L is the length of rectangle
W is the width of rectangle
we have
[tex]F(-2,5),R(-2,1),O(6,1),G(6,5)[/tex]
Plot the figure to better understand the problem
using a graphing tool
see the attached figure
Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees
so
[tex]FG=RO=L\\RF=OG=W[/tex]
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
step 1
Find the distance FG
[tex]F(-2,5),G(6,5)[/tex]
substitute the values
[tex]d=\sqrt{(5-5)^{2}+(6+2)^{2}}[/tex]
[tex]d=\sqrt{(0)^{2}+(8)^{2}}[/tex]
[tex]FG=8\ units[/tex]
step 2
Find the distance RF
[tex]R(-2,1),F(-2,5)[/tex]
substitute the values
[tex]d=\sqrt{(5-1)^{2}+(-2+2)^{2}}[/tex]
[tex]d=\sqrt{(4)^{2}+(0)^{2}}[/tex]
[tex]RF=4\ units[/tex]
step 3
Find the perimeter
[tex]P=2(L+W)[/tex]
we have
[tex]FG=RO=L=8\ units\\RF=OG=W=4\ units[/tex]
substitute
[tex]P=2(8+4)=24\ units[/tex]
Part 2) Find the area of rectangle FROG
we know that
The area of rectangle is equal to
[tex]A=LW[/tex]
we have
[tex]FG=RO=L=8\ units\\RF=OG=W=4\ units[/tex]
substitute
[tex]A=(8)(4)=32\ units^2[/tex]
The area and the perimeter of the rectangle FROG is evaluated as:
Area(FROG) = [tex]32 \: \rm unit^2[/tex]Perimeter(FROG) = [tex]64\: \rm units[/tex]How to find the area and the perimeter of a rectangle?For a rectangle with length and width L and W units, we get:
Area of the rectangle = [tex]L \times W \: \rm unit^2[/tex]Perimeter of the rectangle = [tex]2(L + W) \: \rm unit^2[/tex]What is the distance between two points ( p,q) and (x,y)?The shortest distance(straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
The coordinates of the points of the rectangle FROG are given as:
F(-2,5), R(-2,1), G(6,5), and O(6,1) (from its plot, as given below)
FR and RO are length and width pair(we can call any one of them as length and other as width) of the considered rectangle as they are adjacent to each other.
We denote length of a line segment AB by |AB|
Thus, we get:
Length of the rectangle = |FR| = [tex]\sqrt{(-2-(-2))^2 + (1 - 5)^2 } = 4[/tex] unitsWidth of the rectangle = |RO| = [tex]\sqrt{(6-(-2))^2 + (1 - 1)^2 } = \sqrt{64} = 8 \: \rm units[/tex]Now with the help of length and width, we can evaluate its perimeter and area, as shown below:
Area(FROG) = [tex]L\times W = 4 \times 8= 32 \: \rm unit^2[/tex]Perimeter(FROG) = [tex]2(L + W) = 2(4 + 8) = 64\: \rm units[/tex]Learn more about distance between two points here:
https://brainly.com/question/16410393
PLZ HELP HURRY!!! HAVE A DEADLINE!!!
Plot the line for the equation on the graph.
y−2=−2(x+4)
I kinda tried it dont know if i did it right heres the graph.... and what i did... need help!
Answer:
y = -2x - 6
The y-intercept will be (0,-6)
One point will be at (1,-8)
The line will go downward since it is a negative slope
Step-by-step explanation:
y−2=−2(x+4)
Distribute
y - 2 = -2x - 8
Move the constant to the other side
y - 2 = -2x - 8
+2 = +2
y = -2x - 6
Choose the place where the digit 1 sits in this number 3,215,544,957
｡☆✼★ ━━━━━━━━━━━━━━ ☾
10,000,000
It is is the tens millions place.
Have A Nice Day ❤
Stay Brainly! ヅ
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Answer:
The eight place from the right.
Step-by-step explanation:
1, 10, 100, 1.000, 10.000, 100.000, 1.000.000, 10.000.000
HELP ASAP. need help with this.
Good morning,☕️
Answer:
18 notifications books to 4 cookbooks2 cookbooks to 9 notifications books8 novels to 12 notifications books.
Step-by-step explanation:
_________________________
3 notifications books to 2 novels
then
18 notifications books to 12 novels
then
12 novels to 4 cookbooks
finally, we get 18 notifications books to 4 cookbooks
________________________
2 cookbooks to 6 novels
then
6 novels to 9 notifications books
finally ,we get 2 cookbooks to 9 notifications books
_________________________
2 novels to 3 notifications books
Finally ,we get 8 novels to 12 notifications books.
:)
Answer:
18 notifications books to 4 cookbooks
2 cookbooks to 9 notifications books
8 novels to 12 notifications books.
Step-by-step explanation:
Nth term sequences, please may I get some help. 15 p.
Answer:
[tex](n+2)^2+6[/tex]
Step-by-step explanation:
Pattern 1 consists of
[tex]3+3\times 3+3[/tex] small squares (here n = 1 and [tex]3\times 3=(1+2)\times (1+2)[/tex]).
Pattern 2 consists of
[tex]3+4\times 4+3[/tex] small squares (here n = 2 and [tex]4\times 4=(2+2)\times (2+2)[/tex]).
Pattern 3 consists of
[tex]3+5\times 5+3[/tex] small squares (here n = 3 and [tex]5\times 5=(3+2)\times (3+2)[/tex]).
Thus, pattern n consists of
[tex]3+(n+2)\times (n+2)+3=6+(n+2)^2[/tex] small squares.
P=s+t+r for s simplfy your answer
Answer:
s = P - t - r
Step-by-step explanation:
You are solving for the variable, s. To do so, isolate the variable. Note the equal sign, what you do to one side, you do to the other.
First, subtract the variable t from both sides of the equation:
P (- t) = s + t (-t) + r
P - t = s + r
Next, isolate the variable s by subtracting r from both sides:
P - t (-r) = s + r (-r)
P - t - r = s
s = P - t - r
s = P - t - r is your answer.
~
A (2, 2)
B (1, 4)
C (3, 5)
Square ABCD has the coordinates shown.
Find the coordinates of point D.
Answer:
D(4,3)
Step-by-step explanation:
Plot pointa A, B, C on the coordinate plane.
You move 1 unit to the left and 2 units up from point A to point B;You move 1 unit up and 2 units to the right from point B to point C.Thus,
You move 1 unit to the right and 2 units down from point C to point D;You move 1 point down and 2 units to the left from point D to point A.Therefore, the coordinates of point D are (4,3)
Find the slope and y intercept, convert to slope intercept form
3x + 12y = 12
Answer:
16=53
Step-by-step explanation:
12.9 x 14 .9 + 6= 12
i have three fractions (9/10, 2/3, 2/4), i know that the order from largest to smallest is 9/10, 2/3, 2/4, but how do i actually go about figuring out WHY its in that order without just looking at it or using graphs?
Step-by-step explanation:
To compare fractions, they need to have the same denominator. So you need to find the least common multiple (LCM) of 10, 3, and 4.
To find the LCM, first write the prime factorizations.
3 = 3
4 = 2²
10 = 2×5
The LCM is the product of each factor raised to its highest exponent.
LCM = 2²×3×5
LCM = 60
Now we rewrite each fraction with this new denominator.
9/10 = 54/60
2/3 = 40/60
2/4 = 30/60
Answer:
You need to convert the numbers into the same format.
Step-by-step explanation:
If you want to keep them in fraction form, you need to find the least common multiple. This means the smallest number that can be divided by all of the denominators. For this example, the number would be 60, because 60/10 is 6, 60/3 is 2, and 60/4 is 15. Now that we know this, you need to make every denominator 60. You do this by multiplying the numerator by whatever you needed to multiply the denominator by to get 60. For example, you need to multiply 10 by 6 to get sixty, so you would multiply 9 by 6 as well. You would repeat this pattern with all of the numbers, getting 54/60 (9/10), 40/60 (2/3), and 30/60 (2/4). This makes it very easy to tell which is the larger number.
If you don't want to do all of that, you can use decimal form. To find what each number would be in decimal form, divide the numerator by the denominator. For example, 9 divided by ten is .9, 2 divided by 3 is .66..., and 2/4 is .5.
The adult dosage directions for 325-mg aspirin tablets reads "take 1 or 2 tablets every 4 hour
not to exceed 12 tablets in 24 hours." In grams, what is the maximum amount of aspirin an adı
should take in one day?
Answer:
[tex]1mg = 0.001g \\ 12 \times 325 = 3900 \\ \frac{3900}{1000} = 3.9g[/tex]
hope it helps pls mark braiest
Which of the following facts did your answer include?
Answer:
You forgot to attach the image
f(x) = 4x - 1
g(x) = x2 - 2
(f + g)(9) = ?
A. 118
B. 112
C. 119
D. 114
E. 116
F. 111
G. 110
H. 115
I. 113
J. 117
Answer:
D
Step-by-step explanation:
Find (f + g)(x) then evaluate (f + g)(9)
(f + g)(x) = f(x) + g(x)
= 4x - 1 + x² - 2 = x² + 4x - 3
Now substitute x = 9 into the expression
(f + g)(9) = 9² + 4(9) - 3 = 81 + 36 - 3 = 114 → D
Answer:
J.117
Step-by-step explanation:
f(x) =4x-1
if f(2)= 4(2)-1
f(2)= 8-1 = 7
f(2) = 7 equation 1
g(x) =x2-2
if g(4)= (4)2-2
g(4) = 8-2 = 6 equation 2
Now,
(f+g)(9) =?
subtitute equation 1 and 2
(7+6)(9)=?
(13)(9)=?
13×9= 117
Hence, the answer is 117
-18u+16u-7=9 solve for u
-18u+16u-7=9
-2u - 7 = 9 (combine like terms)
-2u = 16 (add 7 on both sides)
u = -8
Answer:
The correct answer to this problem is u = -8.
Step-by-step explanation:
To solve this problem, we first must combine like terms on the left side of the equation. This means adding together the two terms that have a "u" multiplied by a number. To combine them, we simply add the coefficients together, as we would with constant values. This is modeled below:
-18u+16u-7=9
-2u - 7 = 9
Next, we want to add 7 to both sides of the equation. This will cancel out the -7 on the left side of the equation, isolating the term with the variable u (what we are trying to solve for).
-2u - 7 + 7 = 9 + 7
-2u = 16
Finally, we want to divide both sides by -2 in order to isolate the variable u. This will get rid of the coefficient of negative 2 and give us our answer.
u = 16/-2 = -8
Therefore, the answer to this question is u = -8.
Hope this helps!
Find the slope of the line containing the pair of points
-8.11) and (-4,10)
Answer:
m=-1/4 or - 0.25
watch explanation
Answer:
- 1/4
Step-by-step explanation:
slope (m) = difference of y / difference of x
m = (10 - 11) / (-4 - (-8)) = -1 / 4
Answer the question and answer it down below
Answer:
4:24 p.m.
Step-by-step explanation:
Figure out how often the buses leave at the same time. This is the same as the least common multiple (LCM) of how often they leave the stadium.
The LCM is found by multiplying the maximum number of each prime factor found in any of the numbers.
The prime factors of a number are found by dividing it by whole numbers until the factors are all prime. Prime numbers only have the factors 1 and itself.
6 = 2 X 3
8 = 2 X 2 X 2
The greatest times 2 repeats is three times.
The greatest times 3 repeats is one time.
2 X 2 X 2 X 3 = 24
The LCM is 24, and the buses have the same leaving times every 24 minutes.
Find 24 minutes after 4:00 p.m. Change the minutes only, which are the numbers right of the colon : .
The buses will next leave together at 4:24 p.m.
what is the supplementary angle of 45 percent
Answer:
135°
Step-by-step explanation:
An angle of 45° has a supplementary angle of 180° - 45° = 135°
Answer: 135
Step-by-step explanation:
Two angles are said to be supplementary if they sum up to be 180.
Let the supplementary angle to 45 be x ,
then :
x + 45 = 180
x = 180 -45
x = 135
Madelinie can decorate 100 cookies in 2 hours. How many cookies can she decorate in 5 hours
Answer:
250 Cookies
Step-by-step explanation:
First calculate the cookies decorated per hour
100 ÷ 2 = 50 cookies per hour
Number of cookies in 5 hours = 50 × 5
= 250 Cookies
Answer:
250
Step-by-step explanation:
Divide 100 by 2 to get the hourly rate which would be 50. Then take the hourly rate and multiply it by the number of hours given, 5. 5 multiplied by 50 equals 250 cookies
If the radius of circle F is 19 cm, what is the length of its diameter?
A. 19 cm
B . 9.5 cm
C. 38 cm
D. 21 cm
Thanks❣️
Answer:
C
Step-by-step explanation:
Note the diameter of a circle is twice the radius, thus
diameter = 2 × 19 = 38 cm → C
HELP ME ITS FOR 20 POINTS
Answer:
Ans is 30.................
-Which equation is the inverse of y=2x2 + 25 ?
Answer:
y=sqrt(1/2x-25/2), -sqrt(1/2x-25/2).
Step-by-step explanation:
y=2x^2+25
x=2y^2+25
2y^2=x-25
y^2=1/2x-25/2
y=sqrt(1/2x-25/2), -sqrt(1/2x-25/2)
In the figure, AC and BD bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram.
-First options:
•Alternate Interior Angles Theorem
•Vertical Angles Theorem
•Alternate Exterior Angles Theorem
-Second options:
•Converse of Alternate Exterior Angles Theorem
•Converse of Alternate Interior Angles Theorem
•Converse of Corresponding Angles Theorem
•Converse of Exterior angle theorem
Answer:
1. Vertical Angles Theorem
2. Converse of Alternate Interior Angles Theorem
Step-by-step explanation:
First option:
Lines AC and BD intersect at point E. Angles AEB and CED are opposite angles formed when these two lines intersect and are called vertical angles. By vertical angles theorem, these angles are congruent. So,
Vertical Angles Theorem
Second option:
[tex]\triangle BEC\cong \triangle DEA[/tex] by SAS postulate, then
[tex]\angle CBE\cong \angle ADE[/tex] as corresponding sides of congruent triangles.
Converse of Alternate Interior Angles Theorem states that if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.
So, [tex]\overline{BC}\cong \overline{AD}[/tex] by
Converse of Alternate Interior Angles Theorem
Answer:
1.B 2.B
Step-by-step explanation:
Use the quadratic formula to find the solutions to the equation.
7- 3x+1=0
Answer:
B
Step-by-step explanation:
quadratic formula:
x = [-b ± sqrt(b^2 - 4ac)] / 2a
1. find a, b, and c
a = 1
b = -3
c = 1
2. plug values into formula
x = [3 ± sqrt(9-4•1•1)] / 2
3. simplify
x = [3 ± sqrt(5)] / 2
This is B.
Answer:
Option b) is correct
ie., [tex]x=\frac{3\pm \sqrt{5}}{2}[/tex]
Step-by-step explanation:
Given quadratic equation is [tex]x^{2}-3x+1=0[/tex]
To find the solutions of given equation:
Solution of quadratic equation [tex]ax^{2}+bx+c=0[/tex]
[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}[/tex] where a,b, are coefficients of [tex]x^{2}[/tex] and x respectively and c is constant.
From the given quadratic equation a=1, b=-3 and c=1
[tex]x=\frac{-(-3)\pm \sqrt{(-3)^{2}-4(1)(1)}}{2(1)}[/tex]
[tex]x=\frac{3\pm \sqrt{9-4}}{2}[/tex]
[tex]x=\frac{3\pm \sqrt{5}}{2}[/tex]
Therefore Option b) is correct
ie., [tex]x=\frac{3\pm \sqrt{5}}{2}[/tex]
-15w -6w +7w=14 solve for w
Answer:
w=-1
Step-by-step explanation:
-15w-6w+7w=14
-21w+7w=14
-14w=14
w=14/-14
w=-1
Answer:
-15w -6w +7w=14
- 21w+7w =14
-14w =14
divide both sides by 14
-w = -1
w = 1
Step-by-step explanation:
Find the median of 46 43 39 48 52 40 42 98 20 38. If the observation 42 is replaced by 92. Find the nest median
The median of given data is 42.5
And
The median after replacing 42 with 92 is 44.5
Step-by-step explanation:
A median is the middle value of the data that divided the data in two equal parts
Given data is:
46 43 39 48 52 40 42 98 20 38
First of all, the data has to arranged in ascending order
20, 38, 39, 40, 42, 43, 46, 48, 52, 98
As the number of values is even, n=10, the median will be the average of middle two numbers
20, 38, 39, 40, 42, 43, 46, 48, 52, 98
[tex]Median = \frac{42+43}{2}\\=\frac{85}{2}\\=42.5[/tex]
The median is 42.5
Now,
Replacing 42 with 92
20, 38, 39, 40, 92, 43, 46, 48, 52, 98
The data has to be re-arranged
So,
20, 38, 39, 40, 43, 46, 48, 52, 92, 98
As the number of values is same,
[tex]New\ median = \frac{43+46}{2}\\=\frac{89}{2}\\= 44.5[/tex]
Hence,
The median of given data is 42.5
And
The median after replacing 42 with 92 is 44.5
Keywords: Median, mode
Learn more about median at:
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Which expression is the same as 5÷3?
A. 1/3 of 5
B. 3 ÷ 5
C. 1/5 ÷ 1/3
D. 1/5 of 3
Answer:
Step-by-step explanation:
A) 1/3 of 5
1/3 of 5 = (1/3)*5 = 1*5/3 = 5/3
Letters w, x, y, and z are angle measures. Which should equal 92° to prove that r ∥ s? w x y z
Answer:
its the letter w
Step-by-step explanation:
i got an 100 on the test
What is the value of N in the following equation 2n x 5squared= 25 divided by 32
Answer: [tex]\frac{1}{64}[/tex]
Step-by-step explanation:
We have the following equation:
[tex](2N)(5^{2})=\frac{25}{32}[/tex]
Isolating [tex]N[/tex]:
[tex](2N)(25)=\frac{25}{32}[/tex]
[tex]2N=\frac{25}{(32)(25)}[/tex]
[tex]N=\frac{1}{(32)(2)}[/tex]
Finally:
[tex]N=\frac{1}{64}=0.0156[/tex]
Whitney left school and drove 7 miles to meet her mother at a restaurant. Her mother left at the same time and drove 8 miles, traveling 5 mi/h faster than her daughter. If the two arrived at the restaurant at the same time, what was Whitney’s speed?
Whitney's speed was 35 miles per hour.
Let's let x represent Whitney's speed in miles per hour (mi/h). Then, Whitney's mother's speed would be x + 5 mi/h. Since time is equal to distance divided by speed, and both Whitney and her mother arrived at the same time, we can set their times equal to each other:
Whitney's time = Distance / Speed = 7 miles / x mi/h
Mother's time = Distance / Speed = 8 miles / (x + 5) mi/h
7/x = 8/(x + 5)
7(x + 5) = 8x
7x + 35 = 8x
x = 35 mi/h
Therefore, Whitney's speed was 35 miles per hour.
please help!! I must show all of my work asap
Answer:
Step-by-step explanation:
{ first do the operation which is inside parenthesis, then division, multiplication, subtraction and addition}
3* (9-5) - 3*2 = 3* 4 - 3*2
= 12 - 6 = 6
(16-8) / (4-2) = 8 / 2 = 4
3* (9-5) - 3*2 > (16-8) / (4-2)
Solve the following absolute value inequality graphically: |x|-3>1.
Answer:
x < -4 ∪ x > 4
Step-by-step explanation:
The absolute value function is shifted down 3 units. The solution space is values of x where y = |x|-3 is greater than 1. The solution is shown in red in the attachments, and the left and right (dashed) sides of the inequality are shown in blue.
__
I personally prefer to rewrite the inequality so the comparison is to zero. That is done in the second attachment, which rewrites it to ...
|x| -4 > 0
by subtracting 1 from both sides. It is often easier to read the values of x-intercepts than it is to read the coordinate values where lines cross each other.