Answer: −
3
Molly read 50 out of the 200 pages in her fiction book. Joel is also reading a fiction book, but his book has 280 pages in total. If Joel reads x pages such as the ratio of pages he read is a equivalent to the ratio of pages molly has read, find the value of x.
Answer:
[tex]x = 70[/tex]
Step-by-step explanation:
Given
Molly: 50 out of 200
Joel: x out of 280
Required
Find x
Start by representing the giving parameters as ration
Molly= 50 : 200
Joel = x : 280
From the question, the ratios are equivalent. So,
[tex]50 : 200 = x : 280[/tex]
Convert to fractions
[tex]\frac{50}{200} = \frac{x}{280}[/tex]
Solve for x
[tex]x = \frac{50}{200} * 280[/tex]
[tex]x = \frac{1}{4} * 280[/tex]
[tex]x = \frac{280}{4}[/tex]
[tex]x = 70[/tex]
In ΔVWX, \text{m}\angle V = (7x-1)^{\circ}m∠V=(7x−1) ∘ , \text{m}\angle W = (4x+16)^{\circ}m∠W=(4x+16) ∘ , and \text{m}\angle X = (3x-17)^{\circ}m∠X=(3x−17) ∘ . Find \text{m}\angle X.M∠X.
Answer:
m∠X= 22°
Step-by-step explanation:
In ΔVWX:
m∠V=(7x−1) ∘
m∠W=(4x+16) ∘ ,
m∠X=(3x−17) ∘ . Find M∠X.
Step 1
We find the variable x
The sum of angles in a triangle is 180°
Hence,
ΔVWX = m∠V + m∠W +m∠X
180° = (7x - 1)° + (4x + 16)° + (3x - 17)°
180° = 7x - 1 + 4x + 16 + 3x - 17
180° = 7x + 4x + 3x - 1 + 16 - 17
180° = 14x -2
Collect like terms
180° + 2 = 14x
182° = 14x
x = 182°/14
x = 13°
Step 2
We find m∠X
m∠X = (3x−17) ∘
x = 13
m∠X = (3 × 13 − 17)°
m∠X = (39 − 17)°
m∠X = 22°
Which types of triangles can have three angles that measure less than 90°?
acute triangle
equilateral triangle
a right triangle
isosceles triangle
Answer:
acute angle
Step-by-step explanation:
acute = angles that are less than 90⁰
The triangles which have three angles that measure less than 90° are:
acute triangle, equilateral triangle
What is acute triangle?"An acute triangle is a triangle with three acute angles that means each angle measures less than 90°."
What is an equilateral triangle?"An equilateral triangle is a triangle where all sides and angles are equal. Each angle of an equilateral triangle measures 60°. "
What is a right triangle?"A right triangle is a triangle where one of the angle measures 90°. "
What is an isosceles triangle?"A triangle that has two sides of equal length is called as an isosceles triangle. Also, two angles that are opposite to equal sides are always equal and measures less than 90°. "
For given question,
As one of the angle of right triangle measures 90°, it is not a required triangle.
Also, for isosceles triangle, although two equal angles measure less than 90°, the third angle can be 90°. So, an isosceles triangle is not a required triangle.
Therefore, the triangles that have three angles that measure less than 90° are:
1) acute triangle
2) equilateral triangle
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An arithmetic sequence is represented by the recursive formula A(n) = A(n-1) + 8. If the first term in the sequence is 4, write the explicit formula
Answer:
A(n) = 4 + 8(n-1)
Step-by-step explanation:
A(n) = A(n-1) + 8
A(1) = 4
So A(2) = A(1) + 8 = 4 + 8
A(3) = A(2) + 8 = A(1) + 8 + 8 = 4 + 8 + 8
A(n) = 4 + 8(n-1)
The explicit formula for the arithmetic sequence with the given recursive formula A(n) = A(n-1) + 8 and the first term A(1) = 4 is A(n) = 8n - 4.
Given that the first term (A(1)) is 4, we can observe that each subsequent term is obtained by adding 8 to the previous term.
The general formula for an arithmetic sequence is A(n) = A(1) + (n-1)d, where A(n) represents the nth term, A(1) is the first term, n is the term number, and d is the common difference.
The first term (A(1)) is 4, and the common difference (d) is 8.
Plugging these values into the general formula, we have:
A(n) = 4 + (n-1)×8
A(n) = 4 + 8n - 8
A(n) = 8n - 4
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omg I WILL MARK BRANLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! THIS IS DUE TODAY
PLZ HELP
Answer:
A
Step-by-step explanation:
Its the first letter of the English alphabet
Answer:
Please give more context to what you desire help for.
I am doing a science project and need a fun or short title. The project is on whether filtered water affects plant growth. Any creative title ideas? Will give brainliest for best one!
Heres an idea, ask if you need more :)
Step-by-step explanation:
I Wet My Plants: The Effect of Different Types of Water on the Growth of Plants
What is the simplified form of 400x100 ?
O 200x10
O 200x50
O 20x10
O 20x50
Answer:
√400 x √100 = 40,000
√40,000 = 200
So your answer is 200 x 10.
Hope this Helps!!
Step-by-step explanation:
The value of the simplified form is,
⇒ 20 x¹⁰
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
√ 400 x¹⁰⁰
Now, We can simplify as;
⇒ √ 400 x¹⁰⁰
⇒ 20 x¹⁰
Thus, The value of the simplified form is,
⇒ 20 x¹⁰
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A Rectangle has a length that is one foot longer than it’s width. If the area of the rectangle is 210ft^2 what are the dimensions?
Answer:
Required Answer:-Let
[tex]\qquad\quad {:}\longmapsto\sf The\: breadth =x\: ft[/tex]
[tex]\qquad\quad {:}\longmapsto\sf The\:length=x+1ft[/tex]
[tex]\qquad\quad {:}\longmapsto\sf Area=210ft^2 [/tex]
As we know that in a rectangle[tex]{\boxed {\sf Area=length\times Breadth}}[/tex]
Substitute the values[tex]\qquad\quad {:}\longmapsto\sf x (x+1)=210 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2+x=210 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2+x-210=0 [/tex]
Factorise[tex]\qquad\quad {:}\longmapsto\sf x^2+15x-14x-210=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x (x+15)-14 (x+15)=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf (x+15)(x-14)=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x+15=0\:or\:x-14=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x=-15\:or\:x=14 [/tex]
In menstruation there is no negative value .So (x=-15) can't be possible.Hence correct value
[tex]\qquad\quad {:}\longmapsto\sf x=14[/tex]
__________________________[tex]\qquad\quad {:}\longmapsto\sf Breadth =x=14ft[/tex]
[tex]\qquad\quad {:}\longmapsto\sf Length=x+1=14+1=15ft [/tex]
Solve for y.
y+9=7
Any help
Answer:
-2
Step-by-step explanation:
7-9=-2 hope this helps
the difference bettween 2x and 3
Answer:
-6
Step-by-step explanation:
Answer:
3 is a whole number but 2x is 2 multiplied by a variable
I need help with these questions ( see image for question ).
Please show working.
Answer:
k = -4 ± 2√5Step-by-step explanation:
#22
Given Equation x² -4x + 1 = k(x - 4) with equal rootsTo findThe value of kSolutionThe equation in standard form is:
x² -4x + 1 = k(x - 4)x² - 4x - kx + 1 + 4 = 0x² - (k + 4)x + 5 = 0When the quadratic equation has equal roots its discriminant is zero
D = 0b² - 4ac = 0(k + 4)² - 4*5 = 0(k + 4)² = 20k + 4 = ± √20k = - 4 ± √20ork = -4 ± 2√5what about two and nine hundredths?
Answer:
2.09 is the answer now what
anyone play pokemon go?
Answer:
No
I hate pokemon.
Multi Step equations 11x+4=37
3.) Duncan spent $70 and now has
$120. How much money did he have
before spending the 70?
Answer:
He started with $190
Answer:
190
Step-by-step explanation:
because $70 + $120 gives us $190 of how we got the answer is before he spending the 70$ he had $190.
2. Solve for x given given the following
Answer:
Step-by-step explanation:
Since the triangles are equivalent,
3x - 2 = 5
Solve for x.
3x = 7
x = 7/3
Solve the question 35>-5(4-x)
Answer:
x < 11
Step-by-step explanation:
35 > -5(4 - x)
35 > -20 + 5x
55 > 5x
x < 11
Topic: Inequalities
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
20 points, and if you're right I'll give you big brain lol, graph too please!
Answer:
The correct answer would be A I believe
To rent a boat, you pay for an initial fee plus. John rented a boat for 3 hours and paid $41. Jessica rented a boat for 6 hours and paid $77.
Answer:
The intial fee is $5
The equation to represent this is: y=12x+5
12 is the cost per hour x=hours y=total cost
Step-by-step explanation:
77-41=36
36/3=12
12*6=72
77-72=5
Find the equation of this line.
Answer:
y = 1/3 x + 2
Step-by-step explanation:
We see points (-3, 1) and (3, 3).
We also see point (0, 2), the y-intercept.
To go from (-3, 1) to (3, 3), go up 2 and right 6.
slope = m = rise/run = 2/6 = 1/3
y = mx + b
y = 1/3 x + 2
A plant cell has a length of 0.000085 what is it’s scientific notation
Answer:
8.5×10^-5
Step-by-step explanation:
A particular map shows a scale of 2 cm: 8 km. What would the map distance (in cm) be if the actual distance is 64 km?
Answer:
16cm
Step-by-step explanation:
Step one:
given
the scale of the map
[tex]2 cm: 8 km.[/tex]
Step two:
so if a scale of 2 cm represents 8 km.
then let xcm be 64km
cross multiply we have
[tex]x*8= 64*2[/tex]
8x= 128
divide both sides by 8
[tex]x= 128/8\\\\x=16cm[/tex]
The map distance is 16cm
Is the order pair 1,2 2,4 3,8 4,16 a function if yes then why
A restaurant has 26 tables in its dining room. It takes the waitstaff 10 minutes to clear and set 4 tables. At this rate, how long will it take the waitstaff to clear and set all the tables in the dining room? please hurry
Answer: 65 minutes
Step-by-step explanation: 26 / 4 = 6.5
6.5 tables per 10 minutes so 6.5 x 10 = 65 min
Answer:
1 hr and 5 minutes
Step-by-step explanation:
here's why... because 4 goes into 26 6 times with a remainder of 2 and there is 5 mins for every 2 tables and 6 times 10 is 60 which equals a hour and that will be a hour and 5 mins
What is the equation of the line in slope-intercept form that passes through the point (1,8) and is PARALLEL to line y =
4x - 72
Answer:
y=4x+4
Step-by-step explanation:
substiute the 1 for the y and the 8 for the x in the form (8=4*1+b)
subtract for so it cancels out on the right and leaves you with 4 on the left equals b on the right.
HELP WILL GIVE BRAINLIEST!!
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
not a 100% sure just trying to help
QUESTION ONE Solve for x.
Answer:
X = 144
Step-by-Step Explanation
2.
Which arc is a major arc?
POR
PSQ
PQ
SO
Answer:
your right
Step-by-step explanation:
8. At the local pet store, zebra fish cost $2.20 each and neon letras cost $1.80 each. If Marsha bought 15 fish for
a total cost of $29.80, not including tax, how many of each type of fish did she buy?
a. 8 zebra fish, 7 neon tetras
b. 7 zebra fish, 8 ncon tetras
c. 6 zebra fish, 9 neon tetras
d. 9 zebra fisli, 6 ncoe tetras
Answer:
B. 7 zebra fish, 8 neon tetras
Step by step explanation:
First let's do process of elimination.
X A) 8 x 2.20 = 17.6, 7 x 1.80 = 12.6, 17.6 + 12.6 = 30.2
✔ B) 7 x 2.20 = 15.4, 8 x 1.80 = 14.4, 15.4 + 14.4 = 29.8
X C) 6 x 2.20 = 13.2, 9 x 1.8 = 16.2, 13.2 + 16.2 = 29.4
X D) 9 x 2.20 = 19.8, 6 x 1.8 = 10.8, 10.8 + 19.8 = 30.6
What is the value of x?
Answer:
x = 146°
Step-by-step explanation:
(all angles in a triangle add up to 180°)
180 - 115 - 31 = 34
(supplmentary angle)
180 - 34 = 146°