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[tex]AB = \sqrt{ ({2 - 0})^{2} + ({4 - ( - 2)})^{2} } \\ [/tex]
[tex]AB = \sqrt{ {2}^{2} + ({4 + 2})^{2} } [/tex]
[tex]AB = \sqrt{ {2}^{2} + {6}^{2} } [/tex]
[tex]AB = \sqrt{4 + 36} [/tex]
[tex]AB = \sqrt{40} [/tex]
[tex]AB = 6.32[/tex]
[tex]AB = 6.3[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
5 A car travels 175 km in 3 hours and a half
a) How far will it travel in 1 hours
Answer:
it will travel 50 km
Step-by-step explanation:
175/3.50 equals 50
help me pls it’s due today thanks!
Answer:
C
Step-by-step explanation:
Monthly salary is $1,750 plus commission for every car he sells.
If he sells 1 car, then his monthly income is $2,250
This means his commission for every car sold is 2250 - 1750 = $500
Thus M = 500n + 1,750
To confirm lets substitute 5 as n.
M = (500 x 5) + 1750
M = 2500 + 1750
M = $4,250
This matches the answer found in the table.
I need help with The sum of 4 twelves and 9 twelves
Answer:
multiply 4 x 12 and 9 x 12
Step-by-step explanation:
Answer:
13/12 (1 1/12)
Step-by-step explanation: 4+9=13. Add the denominator 12, and it becomes 13/12. Mixed number form: 1 1/12.
What is The Base Change Property?
Step-by-step explanation:
A formula that allows you to rewrite a logarithm in terms of logs written with another base. This is especially helpful when using a calculator to evaluate a log to any base other than 10 or e. Assume that x, a, and b are all positive.
A stadium has 3000 people, including fans and staff. The ratio of fans to staff is 17:3. If another 500 fans arrive then what is the new ratio of fans to staff?
Step-by-step explanation:
Required Answer:-Total number of people =3000
Let
the number of fans=17x
The number of staff=3x
First we need to find Both numbers of fans and staffATQ[tex]{:}\longrightarrow[/tex][tex]\sf 17x+3x=3000 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 20x=3000 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {3000}{20}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=150 [/tex]
Number of fans=17x=17×150=2650Number of staff=3x=3×150=450____________________________500 more fans arrived
Latest number of fans= 2650+500=3150Latest number of staff=450Now the new ratio=
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {3150}{450}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {1575}{225}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {315}{45}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {63}{9}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {7}{1}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 7:1 [/tex]
[tex]\therefore[/tex]New ratio of fans to staff is 7:1.
Lila and Nina are at college and spending their savings. Nina has $1,500 and is spending $80 a week. Lila has $600 and is spending $20 a week. Write and solve an equation that will figure out how long it will take for them to have the same amount of money.
So you can take this as a sequence. For Nina the term would be 1,500 and second be 1,420. So the equation for it would be -80n + 1580. For Lila it would be -20n + 620. 1,500 and 600ths highest common factor is 300. So it would take Nina 16 weeks. For Lila it would take 16 as well.
calvin buys a book for $14.70, which is a %30 discount off the original price
I need help
solve for x
Answer:
Step-by-step explanation:
180-58=122
x=29
Please help and tell me why you got that answer! :)
Answer: A.
Step-by-step explanation: The fashion express magazine having 4,880 subscribers and losing 300 times something lines up with that in the expression. And the new trends magazine having 3,140 and gaining 280 times something lines up with the expression. The expression is also suppose to be equal and the word problem is asking for when the subscriber count would be equal. Solving the expression using the word problem would have you end up with m = 3, so in 3 months they will have equal subscribers (aka both will have 3,980 subscribers)
If you have a right triangle with the 2 legs having lengths 16 and 12 what is the length of the hypotenuse (longest side)?
Answer:
In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
Step-by-step explanation:
HELP PLEASE!!
40 POINTS FOR BOTH QUESTIONS
please please
Answer:
1. Angle Bisector Theorem
(2x-1)/3x=9/15
15(2x-1)=9(3x)
30x-15=27x
3x=15
x=5
2. Triangles are similar so the ratio that relates them is 6/36=1/6 meaning the side length is 42x1/6=7 cm.
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
Answer:
the scale factor is 4 to 1, or just 4.
Step-by-step explanation:
reflecting the graph of y = cos x across the y-axis is the same as not reflecting it at all
Answer:
The graph of the equation x2+y2=0 in the three dimensional space is (A) x-axis (B) y-axis (C) z-axis (D) xy-plane
Step-by-step explanation:
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Question 1 (1 point)
A mail carrier divides 4,830 envelopes into boxes. Each box can hold a maximum of 50 envelopes.
What is the minimum number of boxes the mail carrier must use?
Answer:
97 boxes
Explanation:
4,830÷50= 96.6
You then have to round 96.6 up and you get 97.
To check your answer:
97×50= 4,850
Even though having 97 boxes leaves more room for envelopes, having 96 boxes will leave all the boxes full with remaining envelopes. 96 boxes isn't enough for 4,830 envelopes.
Find the least common multiple for the following expressions.
6x^3 & 9x^6
Write the equation of the line in slope-intersect form with the given two points: (-5,11) and (-2,1)
Answer:
y = -10/3x - 17/3
HELP PLEASE!!!!!!
Scalene
Isosceles
Equilateral
Answer:
1- Scalene triangle
2- Equilateral triangle
3- Isosceles triangle
4- Equilateral triangle
Here's the explanation if you need it :
For a scalene triangle, all the sides are different whereas an Equilateral triangle has equal sides. And finally for an Isosceles triangle, two sides are equal.
Work out 2 6/9 − 1 3/9 Give your answer as a mixed number in its simplest form
Answer:
Exact Form:
4\3
Decimal Form:
1.3
Mixed Number Form:
1 1/3
[tex]2\frac{6}{9}[/tex] - [tex]1\frac{3}{9}[/tex] as a mixed number in its simplest form is [tex]1\frac{1}{3}[/tex].
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given:
The mixed numbers are [tex]2\frac{6}{9}[/tex] and [tex]1\frac{3}{9}[/tex].
Now, subtracting the numbers,
[tex]2\frac{6}{9}[/tex] - [tex]1\frac{3}{9}[/tex],
= 24/9 - 12/9
= 12/9
= 4/3
= [tex]1\frac{1}{3}[/tex].
Therefore, the value is [tex]1\frac{1}{3}[/tex].
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help quick i’m timed
Carolyn was asked to solve the following system of equations. Her work is shown.
What error did Carolyn make? Identify her mistake and explain the error.
The mistake is on the second line of her work.
She wrote -2x + 4 when it should have been -2x -4 because she multiplied -2 by 2 the 4 would be negative: -2 x 2 = -4
Then adding 4 to the 7, x would be 11
Answer: She’s wrong because on the second line, she should’ve put -2x-4 instead of -2x+4 . X equals 11 because if you add 4 to 7 that’s what you’ll get ,
Step-by-step explanation:
An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 40°. The measures of the other interior angles are in the ratio 3 ∶ 5. What are the measures of the largest interior angle? You must show your work to receive full credit.
Answer:
The measure of the largest interior angle is [tex]87.5^{o}[/tex].
Step-by-step explanation:
Given one of the interior angles of the triangle = 40°. Let the other interior angles be represented by b and c.
Sum of angles in a triangle is [tex]180^{o}[/tex].
So that;
b + c + 40° = [tex]180^{o}[/tex]
b + c = [tex]180^{o}[/tex] - 40°
b + c = [tex]140^{o}[/tex]
But, b and c are in the ratio 3:5
Thus,
b = [tex]\frac{3}{8}[/tex] x [tex]140^{o}[/tex]
= [tex]52.5^{o}[/tex]
b = [tex]52.5^{o}[/tex]
c = [tex]\frac{5}{8}[/tex] x [tex]140^{o}[/tex]
= [tex]87.5^{o}[/tex]
c = [tex]87.5^{o}[/tex]
Check:
[tex]52.5^{o}[/tex] + [tex]87.5^{o}[/tex] = [tex]140^{o}[/tex]
The measure of the largest interior angle is [tex]87.5^{o}[/tex].
A bag contains 120 marbles. Some are red and the rest are black.There are 19 red marbles for every black marble.How many red marbles are in the bag?
Answer:
there are 114
Step-by-step explanation:
Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)
19+1= 20
20 units= 120 (Data from 1st sentence)
1 unit= 120/20= 6
19 units= 120-6= 114 (Values solved in working above)
Ans: There are 114 red marbles.
Answer:
101
Step-by-step explanation:
Which equation generates this table of values?
Which of the following is a true statement concerning the use of a placebo?
A.
B.
C.
D.
Answer:
its B
Step-by-step explanation:
Which of the following describes the transformation from Figure 1 to Figure 2?
Answer:
Reflection over the Y axis
Step-by-step explanation:
I got it right on imagine math.
The transformation rule is given as the reflection over y-axis.The correct option is (C).
How to transform a graph of the function?The graph of a function can be transformed by either shifting it in the right, left, up or down.
When the transformation is rightwards, the function becomes as f(x - a).
For left shifting it is f(x + a).
Take any coordinate to describe the transformation.
For point E and E' the coordinates are given as (-5, 3) and (5, 3).
Since, y coordinate is the same while the sign of x coordinate has changed.
Point E' is the reflection of E across y-axis.
Hence, the required transformation for the given graph is reflection over y-axis.
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How do I graph these parabolas
4/5 ÷1/3 equals what
Answer: 2 2/5
Step-by-step explanation:
Answer:
It’s 2/5
Step-by-step explanation:
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(3) There are 2 mixtures of light purple paint. Mixture A is made with 5 cups of
purple paint and 2 cups of white paint. Mixture B is made with 15 cups of purple
paint and 8 cups of white paint.Which mixture is a lighter shade of purple? Explain
your reasoning. *
Your answer
Answer:
Mixture A
Step-by-step explanation:
besause it uses less portion of white paint
HELP ASAP
Find the 15th term or the geometric sequence 7, -21, 63,
33480783
Step-by-step explanation:Finding the Common Ratio:
We know that the formula for the common ratio of a GP is:
r = aₙ / (aₙ₋₁) (Where n is any integer)
replacing the values, taking n=2
r = -21 / 7
r = -3
Solving for the 15th Term:
We know that the Formula for the nth term of a GP:
G(n) = a * r ⁿ⁻¹ (where a is the first term and r is the common ratio)
replacing the values (taking n = 15 since we need the 15th term)
G(15) = 7 * (-3)¹⁴
G(15) = 33480783
Hence, the 15th term of the given GP is 33480783
A product is marked down 15%; the sale price is $127.46. What
was the original price?
Answer: $ 149.95.
Step-by-step explanation:A product is marked down 15%; the sale price is $127.46. What was the original price? Substitute 127.46 for S.P and 15 for m in (1). So, the original price is $ 149.95.
The original price of the product will be $149.95.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
A product is marked down 15%.
The sale price is $127.46.
Then the original price of the product will be
Let x be the original price.
(1 – 0.15)x = $127.46
0.85x = $127.46
x = $149.95
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