Answers
Answer:
[tex]\sf x = 6\dfrac{2}{3} \ \ or \ \ 6.67 \ (rounded \ to \ nearest \ hundreth)[/tex]
Build a proportional equation:
[tex]\rightarrow \sf \dfrac{AB}{AD} = \dfrac{BC}{DE}[/tex]
[tex]\rightarrow \sf \dfrac{10}{x+10} = \dfrac{6}{10}[/tex]
[tex]\rightarrow \sf 10(10) = 6(x+10)[/tex]
[tex]\rightarrow \sf 100 = 6x+60[/tex]
[tex]\rightarrow \sf 40= 6x[/tex]
[tex]\rightarrow \sf x = 40/6[/tex]
[tex]\rightarrow \sf x = \dfrac{20}{3}[/tex]
[tex]\rightarrow \sf x = 6\dfrac{2}{3}[/tex]
Answer:
Step-by-step explanation:
1. Create a porportianal equation. ab/ad=bc/de
2. plug in the variables for each line segment. 10/x+10=6/10
3. multiply each side by x + 10. (6x+60)/10=10
4. Multiply each side by 10. 6x+60=100
5. simplify. 6x=40 3x=20
6. divide each side by 3. x=20/3
(Sorry about my last answer)
Related Questions
solve inequality
-3m > 75
Answers
Step-by-step explanation:
-3m > 75
3m < -75
m < -25
that's it.
Answer:
m< - 25
Step-by-step explanation:
-3m > 75
(-3m)/(-3) <75/(-3) (divide both members by (-3) (which is a negative number so ">" becames "<")
m<-25
PLEASE HELP ILL MAKE YOU THE BRAINIEST!! For what value of X must ABCD be a parallelogram?
Answers
Answer:
because angle DCA is equal to angle CAB so side DC is parallel to side AB=> DCAB is a parallelogram=> 20x-7=15x+3=>x=2
PLEASE HELP!
Six guinea pigs are released in an area with no natural predators. The guinea pig population quadruples every year. Write a function P that represents the guinea pig population at a given time T measured in years. Choose the function below that represents the inverse function P-1
Use the inverse function to find how long it will take the guinea pig population to reach 1,000 and choose the response that correctly states this information.
Answers
The time taken for the population of the pig to reach 1000 will be almost four years.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Six guinea pigs are released in an area with no natural predators.
The guinea pig population quadruples every year.
Write a function P that represents the guinea pig population at a given time T measured in years.
Then the function will be
[tex]\rm P = 6 (4)^T[/tex]
Then the inverse function of P will be
[tex]\rm T = 6 (4)^P\\\\\\P \ln 4 = \ln \left (\dfrac{T}{6} \right )\\\\\\P = \dfrac{\ln (T/6)}{\ln 4}[/tex]
Then the time taken for the population of the pig to reach 1000 will be
[tex]\rm 1000 = 6 (4)^T\\\\\\166.667 = 4^T\\\\\\T = 3.69 \\\\\\T \approx 4 \ years[/tex]
More about the function link is given below.
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The shape is composed of squares and quarter circles. What is the perimeter?
Answers
nth term of -4 ,1, 12 ,29, 52
Answers
Answer:
[tex]3n^2-4n-3[/tex]
Step-by-step explanation:
The difference between each number is 5,11,17,23 and the difference between these numbers is 6. So by dividing 6 by 2, you get the n^2 co-efficient which in this case is [tex]3n^2[/tex].
Then compare the [tex]3n^2\\[/tex] pattern to the original pattern so:
-4, 1, 12, 29, 52
3, 12, 27, 48, 75
Subtract the original nth term sequence by the new [tex]3n^2\\[/tex] pattern and you will get:
-7, -11, -15, -19, -23
The nth term of this new sequence is -4n-3.
By combining the 2 nth terms together, you get [tex]3n^2-4n-3[/tex].
Hope this helps!
Mrs.Howard paid 45$ for 3 packs of diapers. Write an equation relatin the cost, c , to the number of packs of diapers, d. The equation should be form of direct variation, and use the ewuation you wrote for this to find out how much mrs..howard would pay for 11 packs of diapers. Please help, worth lots of points,
Answers
Answer:
165 is your cost in dollars
Step-by-step explanation:
d = 15c
11 * 15c = 165c
How many different combinations of six people can sit in four chairs?
assume one person sits in each chair.
Answers
Answer:
15Step-by-step explanation:
the number of combinations of 4 people we can form from 6 is :
[tex]C^{4}_{6}=\frac{6!}{4!\left( 6-4\right) !} = 15[/tex]
Please help asap a spinner with 4 sections is spun 30 times. based on these results, what is the experimental probability that the next time the spinner is spun, it lands on yellow?
a. 4/15
b. 1/5
c. 7/30
d. 3/10
Answers
The experimental probability that the next time the spinner is spun, it lands on yellow is 4/15
How to determine the experimental probability?From the table of values, we have:
Yellow = 8
Total = 30
The experimental probability is then calculated using:
P(Yellow) = Yellow/Total
This gives
P(Yellow) = 8/30
Simplify
P(Yellow) = 4/15
Hence, the experimental probability is 4/15
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What is 3.9047 rounded to the nearest thousandth?
Answers
Answer: 3.905 rounded
Step-by-step explanation: The thousandth in this number is 4.
Round it up since when its 5 or more you add 1 more/raise the score
The answer is 3.905
Using f(x) = 4x + 6 with a domain of {-1, 0, 2), find the range.
A. {10, 6, 15)
B. {2, 14)
C. {-4, 0, 8}
D. {2, 6, 14}
Answers
Answer:
D
Step-by-step explanation:
Start by plugging in all the domain values (domain means input) into the function.
f(-1) = 4(-1) + 6 =-4+6=2
f(0) = 4(0) +6=0+6= 6
f(2) = 4(2) +6 = 8+6=14
A bag contains 8 red marbles, 4 blue marbles and 7 green marbles. If two marbles are
drawn out of the bag, what is the exact probability that both marbles drawn will be
red?
Answers
Answer:
28/171
Step-by-step explanation:
The probability initially of drawing a red would be 8/19 since there were 19 marbles in the bag in the beginning. However, without replacement, the probability of drawing another red would be 7/18 as there would be one less red and one less marble in the bag so to find the combined probability of getting 2 red marbles, multiply 8/19 by 7/18 to get: 56/342 = 28/171
I need help for this one.
Answers
Answer:
5
Step-by-step explanation:
When you are looking for a pattern, look at one of the examples, makeup the pattern, then check it on the other examples.
Wrong answers may work on one, but not all the completed examples.
The right answer will work on all of the examples, then use that rule on the incomplete one.
So, I looked at the second one in the top row. The two bottom numbers, 5 + 13 makes 18. And 18÷3 (the top number, gives the center number) Check on other examples.
bottom + bottom=_
_÷top=center.
8+4=12, 12÷3 =4.
9+5=14, 14÷2=7
Both of these work.
So use the rule for the last one.
Add the bottom numbers, divide by the top number, fill it in the middle.
14+6=20
20÷4=5
Fill in 5.
f(x) = 10x +3
g(x) = -7x-4
What does (f- g) (x) equal?
To obtain credit, provide your answer with no spaces. Example answer: 42x+9
Answers
Answer:
f-g=10x+3-(-7x-4)
=10x+3+7x+4
=17x+7
(f-g)(x)= 17x+7
Answer:
17x + 7
Step-by-step explanation:
Subtracting functions: (f - g)(x) is equivalent to f(x) - g(x)
Given:
f(x) = 10x + 3
g(x) = -7x - 4
Simplify:
(10x + 3) - (-7x - 4)
(10x + 3) - (-7x) + - (- 4)
10x + 3 + 7x + 4
17x + 7
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Simplify the expression. Write your answer as a power.
The simplified expression is
Answers
Answer:
(-4)^5
Step-by-step explanation:
(-4)^(8 + 3)/(-4)^(4 + 2) = (-4)^11/(-4)^(6) = (-4)^(11-6) = (-4)^5
On a map one inch is equal to 125 miles. There are six inches between Happyville and Glumtown. How many miles are between the two towns?
(I will make brainliest)
Answers
Step-by-step explanation:
6x125=750 hope this helps
If as = 24, a, = 40, then find a20
Answers
Answer:
[tex]a_{20}[/tex] = 84
Step-by-step explanation:
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + ( n - 1 )d
~~~~~~~~~~~~~
[tex]a_{5}[/tex] = [tex]a_{1}[/tex] + (5 - 1)d = 24
[tex]a_{9}[/tex] = [tex]a_{1}[/tex] + (9 - 1)d = 40
[tex]a_{1}[/tex] + 4d = 24 ........... (1)
[tex]a_{1}[/tex] + 8d = 40 ........... (2)
(2) - (1)
4d = 16 ⇒ d = 4
[tex]a_{1}[/tex] + 8(4) = 40 ⇒ [tex]a_{1}[/tex] = 8
[tex]a_{20}[/tex] = 8 + ( 20 - 1 ) × 4 = 84
i cant find the height to the area!!! THE SHAPE IS A TRIANGLE
area is 21.9
the base is 6
and the height is x
Answers
Answer:
x = 7.3
Step-by-step explanation:
area = base × height / 2
21.9 = 6 × x / 2
43.8 = 6x
x = 7.3
Answer:
7.3
Step-by-step explanation:
The formula to find the area of a triangle is (1/2)(a)h = A.
Replace the variable h (height) with x.
Isolate the x variable (height) in order to find the height value.
(1/2)(6)x = 21.9
3x = 21.9
x = 21.9/3
x = 7.3
Which expression shows the factors of 9x2 3x − 2? a. (3x − 1)(3x − 2) b. (3x 1)(3x − 2) c. (3x 2)(3x − 1) d. (9x − 2)(x 1)
Answers
The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)
How to determine the complete factorization?The expression is given as:
9x² + 3x - 2
Expand the equation
9x² + 3x - 2 = 9x² + 6x - 3x - 2
Factorize the expression
9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)
Factor out 3x + 2
9x² + 3x - 2 = (3x - 1)(3x + 2)
Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)
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Answer:
Factor by grouping.
(3x−1)(3x+2)
Step-by-step explanation:
Which number added to -14 will equal 9?
Answers
Answer:
23
Add positive 14 and 9 to get 23
14 + 9 = 23
-14 + 23 = 9
find the surface area of this cylinder, round to the nearest tenth
I'll give brainliest
Answers
Answer:
113.1
A = 2πrh + 2πr² = 2 × π × 3 × 3 + 2 × π × 3² ≈ 113.1
The diameter of a pipe is 6 cm. If the pipe is 35 cm long, what is its volume?
Use the value 3.14 for 7, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answers
Answer:
I can't solve it.
Step-by-step explanation:
A
12
13
14
TIME REMAINING
01:48:01
What will be the result of substituting 2 for x in both expressions below?
3x+4
x+6–3x-2
O Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
O Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
o One expression equals 5 when substituting 2 for x, and the other equal2 because the expressions are not
equivalent
o One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent
Mark this and return
Save and Exit
Next
Submit
Answers
None of the given options are matching. For the expression after putting the value 2 on the place of x. We will get 10 for expression 1 and 0 for the expression 2.
How can we find the solution to an equation?
We do same operations on both the sides so that equality of both expressions doesn't get disturbed.
Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
The given equation is;
Equation 1;
[tex]\rm 3x+4[/tex]
Equation 2;
[tex]x+6-3x-2[/tex]
After putting the value 2 on the place of x we get;
Equation 1;
[tex]\rm = 3x+4[/tex]
[tex]=3 \times 2+4 \\ =10[/tex]
Equation 2;
[tex]= x+6-3x-2\\\\\ =2+6-3\times 2-2 \\\\ =2+6-6-2\\\\ =8-6-2 \\\\ = 0[/tex]
Hence, the none of the given options are matching.
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Use the summation notation to write the series
10+5+0+(-5)+(-10)+(-15)
Answers
Hey there!
10 + 5 + 0 + (-5) + (-10) + (-15)
= 10 + 5 - 5 - 10 - 15
= 15 - 5 - 10 - 15
= 10 - 10 - 15
= 0 - 15
= -15
Therefore, the answer should be: -15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
When 2(x+2y-x-1-2y+3) is simplified, what is the resulting expression?
X+
0 17 x + 2 y +6 plssss help
Answers
Answer:
4
Step-by-step explanation:
2x+ 4y -2x-2-4y+6
2x-2x+4y-4y-2+6
0+0+4
Step-by-Step Explanation:
=> 2(x + 2y - x - 1 - 2y + 3)
= 2 *x + 2 * 2y - 2 * x - 2 * 1 - 2 * 2y + 2 * 3
= 2x + 4y - 2x - 2 - 4y + 6
= 2x - 2x + 4y - 4y - 2 + 6
= 0 + 0 + 6 - 2
= 6 - 2
=> 4
Which of these equations have no solution? check all that apply. 2(x 2) 2 = 2(x 3) 1 2x 3(x 5) = 5(x – 3) 4(x 3) = x 12 4 – (2x 5) = (–4x – 2) 5(x 4) – x = 4(x 5) – 1
Answers
Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) - 1 has no solution
Equations with no solutionsEquations with no solutions has two of its sides to be equal.
From the given option, we can check he equation
5(x + 4) - x = 4(x+5) - 1
Expand
5x + 20 - x = 4x + 20 -1
4x +20 = 4x + 19
4x - 4x = -1
Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) - 1 has no solution
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Darci sets up a room for a banquet.
She has 54 chairs. She places 9 chairs
at each table. How many tables have
9 chairs?
Answers
Answer:
6 tables
Step-by-step explanation:
54 chairs divided by 9 chairs = 6 tables have 9 chairs :)
Answer:
Step-by-step explanation:
Given:
There are 54 chairs in total.She places 9 chairs at each table.To find:
Amount of tables that have 9 chairs.Solution:
⇒ 1 : Based on the given conditions, formulate
⇒ 54 ÷ 9
⇒ 2 : Calculate
54
----
9
= 6.75
Round down in this case, so
⇒ Answer: 6.
(5, -7) and (6,-4)
What is the slope?
Answers
Here are some fractions.
3/10 7/20 2/5 1/4
Write these fractions in ascending order.
Answers
Answer:
1/4, 3/10, 7/20, 2/5
Step-by-step explanation:
1/4 = 25%
3/10 = 30%
7/20 = 35%
2/5 = 40%
plssss helppp meeeee
Answers
Answer: s = 47°
Step-by-step explanation:
This shape is a hexagon because it has 6 sides.
-> There are 720° total in a hexagon.
Using this information, we will add together all the angles, set it equal to 720°, and solve for x.
(3s - 41)° + (3s - 12)° + (3s - 38)° + (3s)° + (125)° + (3s-19)° = 720°
3s° - 41° + 3s° - 12° + 3s° - 38° + 3s° + 125° + 3s° - 19° = 720°
3s° + 3s° + 3s° + 3s°+ 3s° - 12° - 38° - 41° + 125° - 19° = 720°
15s° + 15° = 720°
15s° = 705°
s = 47°
PLEASE HELP
a41= 5 7 2