Answer:
42
Step-by-step explanation:
In a rectangle, the diagonals have the same length. Therefore:
[tex]3x+6=5x-18 \\\\3x+24=5x \\\\ 24=2x \\\\x=12 \\\\BD=5(12)-18=60-18=42[/tex]
Hope this helps!
Answer:
BD = 42
x=12 is found below as a way to find x
We can find 42 by adding together the equations
3x+6 = 5x-18
+18 = 5x(-3x-6)
18 + 6 = 2x
24 = 2x
x= 12
We can then plug in for 5x and 3x
as BD = 5x-18 = 3x+6
5(12) = 60 -18 = 42 and 3(12) =36+6 = 42
To find line BD = 42
Step-by-step explanation:
3x+6= 42
3x = 42-6
3x = 36
x = 12
5x-18 = 60
5x = 60- 18
5x = 42
x=12
Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?
Answer:
y=0.5x-4
Step-by-step explanation:
y+3=0.5(x-2)
y+3=0.5x-1
y=0.5x-4
[tex] \sqrt[3\\ ]{27/125} [/tex]
enter as fraction
write a formula that will yield the nth term of the sequence: 3,-2,-7,-12
Answer:
-5n + 8
Step-by-step explanation:
1. What is the difference?
The sequence goes down by 5. This means that the formula will have -5n in it.
2. Work out the term before the first term.
The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.
3 + 5 = 8 Remember, this is positive 8. (+8)
3. Put that term at the end of the equation.
We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.
-5n + 8 This is our answer!
Just to prove it works:
Substitute: n = term
Lets see if we can get the 3rd term which is -7. (n = 3)
-5(3) + 8
-15 + 8 = -7
See, it works!
What is the value of the expression?
Negative 16 + 12
Answer:
-4
Step-by-step explanation:
-16 + 12
When the signs are different we subtract the smaller from the larger and take the sign of the larger
16-12 = 4
The larger number has a sign of negative
-4
Answer:
b
Step-by-step explanation:
ur mom
Find the linear equations written in standard form. Select all that apply.
x + y = -1
-3.x = y
x + 4y = 0
y = 5x - 2
x = 3 -0.17
8x – 3y = 20
Answer:
Step-by-step explanation:
A linear equation in "standard form" looks like Ax + By + C = 0, or
Ax + By = D
x + y = -1 : is in standard form: A = 1, B = 1 and D = -1
-3.x = y : NOT in standard form
x + 4y = 0 is in standard form
y = 5x - 2 NOT in standard form
x = 3 -0.17 NOT
8x – 3y = 20 is in standard form
Answer:
A. x + y = -1
C. x +4y = 0
F. 8x - 3y = 20
Step-by-step explanation:
Edge 2023
If a ball is dropped, how long does it take to fall 60.0 m?
Answer:
the ball takes 3.1944 sec
Step-by-step explanation:
Answer:
It takes 3.498 seconds.
Step-by-step explanation:
To calculate free fall you must use the formula: h=1/2gt^2
plz help me with these problems
Answer: number 16 is d
number 20 is d
Step-by-step explanation:
Answer:
The answer for 16 is A, the answer for 20 is D, and the answer for 25 is A
Step-by-step explanation:
For 16, the equation is 6a = 72. 6a is also equal to 6*a. To get a one side by itself, you have to divide both sides by 6.
For 20, it only makes sense for it to be a triangular prism because it has 2 triangles as the base and 3 faces
For 25, you can subtract what was the leftovers from the total number of pizzas. 8 - 1 3/4 - 5/6 is about 5.41, which is closer to 5 so the answer is 5.
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?
A) 11
B) 15 4/5
C) 17 1/2
D) 21
Answer:
Unit rate in grams of drink mix per ounce of water = 11 gram / ounces
Step-by-step explanation:
Given:
Amount of drink mix = 19 (1 /4) gram = 19.25 gram
Amount of water = 1 (3 /4) ounces = 1.75 ounces
Find:
Unit rate in grams of drink mix per ounce of water = ?
Computation:
⇒ Unit rate in grams of drink mix per ounce of water = Amount of drink mix / Amount of water
⇒ Unit rate in grams of drink mix per ounce of water = 19.25 / 1.75
⇒ Unit rate in grams of drink mix per ounce of water = 11 gram / ounces
A triangle is sitting on a horizontal line. The bottom left interior angle of the triangle is (9 + k) degrees. The exterior angle to the bottom left interior angle is (5 k minus 3) degrees.
What is the value of k?
k = 28
k = 29
k = 31
k = 42
Answer:
29
Step-by-step explanation:
If you mean the exterior angle at the same vertex as the interior,
(9+k)+(5k-3)=180
9+k+5k-3=180
6k+6=180
6k=174
k=29 degrees
Answer:
29
Step-by-step explanation:
In a right triangle, Sin (30 + x) º = Cos (3x) º. What is the value of x?
Answer:
[tex]x=15^\circ[/tex]
Step-by-step explanation:
In a right triangle:
[tex]\sin \theta =cos(90^\circ-\theta) $ (Complementary angles)[/tex]
Therefore, given:
[tex]Sin (30 + x) \º = Cos (3x) \º\\30+x+3x=90^\circ\\30+4x=90^\circ\\4x=90^\circ-30^\circ\\4x=60^\circ\\$Divide both sides by 4\\x=15^\circ[/tex]
Tim has two spinners, spinner A and spinner B. Each spinner can only land on red or blue. The probability that spinner A will land on red is 0.5. The probability that spinner B will land on red is 0.6. Tim spins spinner A once and he spins spinner B once. He does this a number of times. The number of times both spinners land on red is 84. Workout an estimate for the no of time both spinners land on blue. I have and attached tree diagram
Answer:
56 times
Step-by-step explanation:
To find the probability of both spinners landing on red, we need to multiply the probability of the spinner A landing on red (0.5) by the probability of the spinner B landing on red (0.6):
P(redA and redB) = 0.5 * 0.6 = 0.3
Then, to find the probability of both landing on blue, we do the same:
P(blueA and blueB) = 0.5 * 0.4 = 0.2
Now, if the number of times that both spinners land on red is 84, to estimate the number of times that both land blue, we just need to multiply this number of times by the ratio of P(blueA and blueB) over P(redA and redB):
84 * 0.2 / 0.3 = 56 times
find f(3) for f(x)=3^x+3
Answer:
f(3) = 30
Step-by-step explanation:
f(3) = 3^(3) + 3
f(3) = 27 + 3
f(3) = 30
Brian has to send 13 parcels it will be cheaper to send the parcels by the express service than by the rapid service.
Answer: £ 260.78
Step-by-step explanation:
HELP EASY MATH PROBLEMS
Answer:
21. 98 cents
Gabby placed in 4th.
Step-by-step explanation:
Assuming Steven is paying, 51+45+2=98 cents.
Answer:
21. 98 cents
Gabby placed in 4th.
Step-by-step explanation:
oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo have a great day
Choose each number that shows 1/2 % as an equivalent fraction, decimal, or percent. Select all that apply.
A. 0.05
B. 2%
C. 51,000
D. 5100
E. 0.005
Answer:
E
Step-by-step explanation:
1/2% is .5% = .5/100 = .005
The required requried equivalent fraction of the given percentage value is 0.005 Option E is correct.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Given percentage term = 1/2%
Since 1/2 = 0.5, and percent % = 1/100th
Togetherly,
= 0.5/100 = 0.005
Thus, the required requried equivalent fraction of the given percentage value is 0.005 Option E is correct.
Learn more about percentages here:
brainly.com/question/13450942
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The graph of any nonvertical line can be represented by an equation in the form_________________________.
Answer:
Ax+By=C
Step-by-step explanation:
Answer:
an equation
Step-by-step explanation:
just did it
A can of 3 tennis balls sells for $2. If Sal spent more than $24 on tennis balls, which inequality can be used to find n, the number of tennis balls Sal could have bought?
A. 2/3n > 24
B. 3/2n > 24
C. 2n >24
D. 3n > 24
Answer:
the answer is A
Step-by-step explanation:
i went but the all the other answers in and it was left to A
Option A is the correct answer.
What is the cost of one item if the cost of m items is x?
The cost of one item is obtained by dividing the total cost of m items by the number of items.
Given
The total amount spent by Sal > $24,
cost of 3 tennis balls = $2.
Cost of n tennis balls
Divide the cost of three tennis balls by 3 to get the cost of one tennis ball, which is $2/3.
Let the number of balls bought by Sal be n, and P be the cost of n tennis balls.
Total amount spent by him, P = cost of one ball × number of balls bought = ($2/3) × n = $(2/3)n.
Obtain the inequality
Since the total amount spent by him > $24, using the above value of P we obtain,
$(2/3)n > $24.
The inequality to be used to find n is (2/3)n > 24.
Learn more about the amount calculation problem here
https://brainly.com/question/14196682
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help please, what is sum of the geometric series E6(4)k-1
Answer:
2,046Step-by-step explanation:
[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=6\left(4\right)^{1-1}+6\left(4\right)^{2-1}+6\left(4\right)^{3-1}+6\left(4\right)^{4-1}+6\left(4\right)^{5-1}=\\\\\\=6\cdot4^0+6\cdot4^1+6\cdot4^2+6\cdot4^3+6\cdot4^4=6+24+96+384+1536=\\\\=2,046[/tex]
or:
is geometric series: [tex]S_n=\dfrac{a_1(1-q^n)}{1-q}[/tex]
[tex]a_n=a_1\cdot q^{n-1}\quad\implies\quad\begin{cases}a_1=6\\q=4\\n=5\end{cases}[/tex]
so:
[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=S_5=\dfrac{6(1-4^5)}{1-4}=\dfrac{6(1-1,024)}{-3}=-2(-1,023)=2,046[/tex]
Answer:
B
Step-by-step explanation:
Edge2021
What is the complete factorization of the polynomial below?
x3 + x2 + 4x + 4
x = -1
x = 2
x = -2
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step by step solution :
Step 1 :
Checking for a perfect cube :
1.1 x3+x2-4x-4 is not a perfect cube
Trying to factor by pulling out :
1.2 Factoring: x3+x2-4x-4
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: x3+x2
Group 2: -4x-4
Pull out from each group separately :
Group 1: (x+1) • (x2)
Group 2: (x+1) • (-4)
-------------------
Add up the two groups :
(x+1) • (x2-4)
hhheellllpppppppppppppppp
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Just multiply the 1 times 4
Solve the following equation. Then place the correct number in the box provided. Leave answer in terms of a mixed
8x/7=8
X=?
Answer:
Step-by-step explanation:
[tex]\frac{8x}{7}=8[/tex]
Multiply both sides by 7
[tex]7*\frac{8x}{7}=8*7\\\\8x=8*7\\[/tex]
Divide both sides by 8
[tex]\frac{8x}{8}=\frac{8*7}{8}\\[/tex]
x = 7
Answer:
-The value of [tex]x[/tex]:
[tex]x = 7[/tex]
Step-by-step explanation:
-Solve for the value of [tex]x[/tex]:
[tex]\frac{8x}{7} = 8[/tex]
-Multiply both sides by the denominator, which is [tex]7[/tex]:
[tex]7\cdot \frac{8x}{7} = 8 \cdot 7[/tex]
[tex]8x = 56[/tex]
-Divide both sides by 8:
[tex]\frac{8x}{8} = \frac{56}{8}[/tex]
[tex]x = 7[/tex]
So, the value of [tex]x[/tex], would be [tex]x = 7[/tex].
find the nearest two positive coterminal angles and the nearest two negative coterminal angles for 420°
Answer:
Positive Coterminal Angles = 60°,780°
Negative Coterminal Angles = -300°, -660°
Step-by-step explanation:
Positive Coterminal Angles:
To find nearest two coterminal angle of 420°:
1) Subtract 360° from 420°:
420°- 360° = 60° (First Positive Coterminal Angle)
2)Add 360° to 420°:
420°+ 360° =780° (Second Positive Coterminal Angle)
Negative Coterminal angles:
To find nearest two negative coterminal angles of 420°. We' lave to take the value below 0.
1) Substract 360° from 420°
420°- 360° = 60°
Which is still a positive value.
2) Again Substract 360° from 60°
60°- 360° = -300° (First Negative Coterminal Angle)
3)Subtract 360° from -300°
-300°- 360° = -660° (Second Negative Coterminal Angle)
Solve the following system:
y = x + 3
4x + y = 18
Your answer:
(6, 3)
(3, 6)
(−3, 6)
(3, −6)
Answer:
B (3,6)
Step-by-step explanation:
y = x + 3
then we will use this y to substitute the other y
4x + y = 18
4x + (x +3) = 18
4x + x + 3 = 18
5x = 18 - 3
5x = 15
x = 15/5 = 3
then we can find the value of y
y = x + 3 = 3 + 3 = 6
so the (x,y) is (3,6)
-2/3a-6=12 what does a equal a=?
Answer:
a= -27
Step-by-step explanation:
The other answer I had was wrong so..
// have a great day //
Answer:
-2/3 a - 6 = 12
+6 +6
-2/3 a = 18
divide by -2/3 on both sides
a = -27.00027
Step-by-step explanation:
CHECK
-2/3 ( -27.00027) -6 = 12
18.00018 -6 = 12
12.00018 about 12 SO YES ITS CORRECT
59:52
Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end?
Answer: A line is the undefined geometric term is described as a two-dimensional set of points that has no beginning or end.
CN someone help me please
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is
h² = 3² + 7² = 9 + 49 = 58 ( take the square root of both sides )
h = [tex]\sqrt{58}[/tex] → B
Answer:
It's probably B
Step-by-step explanation:
you use the pythagorean theorm
a^2+b^2=c^2
3^2+7^2=c^2
9+49+=c^2
[tex]\sqrt{58}[/tex]=[tex]\sqrt{c^2}[/tex]
[tex]\sqrt{58}\\[/tex]=c
Line segment AB is the diameter of circle C. If the endpoints of the diameter are (3, -4) and (7,2), what are the coordinates of the center of the circle
Answer:
(5, -1)
Step-by-step explanation:
You find the center of both the coordinates. For the x axis: 3+7 = 10. 10/5=2. For the y axis: -4+2=-2. -2/2 = -1. Put them together and get the answer! :)
The Ecology Club was planning to take a field trip either to the seacoast or the mountains. The club president surveyed all of the members to determine the preferred trip. The results are displayed in the table below. Which statement is true about the results of the survey?
A. 20% of eighth-grade students preferred the seacoast
B. 32% of seventh-grade students preferred the mountains
C. 40% of students preferred the mountains
D. 48% of students preferred the seacoast
Answer:
The statement true about the results of the survey is:
D. 48% of students preferred the seacoast.Step-by-step explanation:
To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:
150 = 100 (100% of surveyed really, but is easier to understand in this form) 72 = XAnd operate:
X= (72 * 100) / 150 X = 48 (this means the 48%)How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.
A trader purchased 1,000 books at the rate of $5.40 per book and spent $200 towards transportation. If he wants to earn a profit of 12.5%, at what price should he sell each book?
( with explanation )
Answer:
$6.3
Step-by-step explanation:
Cost of one book = $5.40
cost of 1000 books = 1000* Cost of one book = $5.40*1000 = $5400
Transportation cost for all the books = $200
Thus, total cost for all the books = cost of 1000 books + Transportation cost for all the books = $5400 + $200 = $5600.
Given , trader wants to earn a profit of 12.5%
thus, we find 12.5 % of total cost incurred by trader
12.5 % of total cost incurred by trader = 12.5/100 * $5600. = $700
Thus, total profit for 1000 books will be $700
we know that
selling price = cost price + profit
therefore, in the given problem
selling price for 1000 books = total cost for 1000 books + total profit
substituting the value as calculated above
selling price for 1000 books = $5600 + $700 = $6300
To find selling price for one book, lets divide LHS and RHS by 1000
selling price for 1000/100 books = $6300/1000 = $6.3
Thus, trader should sell each book at $6.3 to earn a profit of 12.5%.
HELP ASAP I WILL GIVE U BRAINLIEST
Answer:
The final answer is [tex]\frac{8}{27}[/tex] .
Step-by-step explanation:
Solve the following equation:
[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]
-Simplify [tex]2^{2}[/tex] :
[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]
[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
-Simplify [tex]3^{-1}[/tex] :
[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
-Multiply both [tex]4[/tex] and [tex]\frac{1}{3}[/tex] :
[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
-Simplify [tex]4^{-1}[/tex] :
[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]
-Multiply both [tex]\frac{4}{3}[/tex] and [tex]\frac{1}{4}[/tex] together:
[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]
[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]
-Simplify [tex]\frac{1}{3}^{-1}[/tex] :
[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]
[tex]3 \over 2^{-3} \times 3^{4}[/tex]
-Then, on the denominator, simplify [tex]2^{-3}[/tex] :
[tex]3 \over 2^{-3} \times 3^{4}[/tex]
[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]
Simplify [tex]3^{4}[/tex] :
[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]
[tex]3 \over \frac{1}{8} \times 81[/tex]
Multiply both [tex]\frac{1}{8}[/tex] and [tex]81[/tex] together:
[tex]3 \over \frac{1}{8} \times 81[/tex]
[tex]3 \over \frac{81}{8}[/tex]
Divide [tex]3[/tex] and [tex]\frac{81}{8}[/tex] by multiplying [tex]3[/tex] by the reciprocal of [tex]\frac{81}{8}[/tex] :
[tex]3 \over \frac{81}{8}[/tex]
[tex]3 \times (\frac{81}{8})[/tex]
-And you multiply [tex]3[/tex] and [tex]\frac{81}{8}[/tex] together:
[tex]3 \times (\frac{81}{8})[/tex]
[tex]\frac{8}{27}[/tex]
So, the final answer would be [tex]\frac{8}{27}[/tex] .