The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'm' be the number of months and 'y' be the population. Then the equations are given as,
y = (125 - 100) m + 33,950
y = 25m + 33950 ...1
y = 150m + 35700 ...2
From equations 1 and 2, then we have
150m + 35700 = (125 - 100) m + 33950
125m - 100m + 33950 - 35700 - 150m = 0
175m = 1750
m = 10 months
The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.
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The ratio of the same side interior angles of two parallel lines is 1:14. Find the measures of all eight angles formed by the parallel lines and transversal. Sorry! Would appreciate if you give the answer by Tuesday! Thanks
Answer:
At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.
At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.
Step-by-step explanation:
Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.
We know that the sum of interior angles equals 180°.
So, a + b = 180°
a + 14a = 180°
15a = 180°
a = 180/15
a = 12°
At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°
The angle vertically opposite to a is d = a = 12°
The angle vertically opposite to a is b = e = 168°
At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°
the angle vertically opposite to angle b is g = b = 168°
the angle vertically opposite to f is h = 12°
Given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:
m<1 = 12°
m<2 = 168°
m<3 = 168°
m<4 = 12°
m<5 = 12°
m<6 = 168°
m<7 = 168°
m<8 = 12°
Applying the knowledge of ratio, transversal and parallel lines, we can determine the measures of all 8 angles that are formed when a transversal intersects two parallel lines as shown in the image attached below.
Let < 1 and < 6 be the two same-side interior angles whose measures are in the ratio, 1:14.
Thus:
m<1 : m<6 = 1 : 14Recall:
Same-side interior angles are always supplementary. That is,
m<1 + m<6 = 180 degrees.
Let's apply ratio to find the measure of <1 and <6.
m<1 = ratio of <1 / sum of ratio x 180[tex]m \angle 1 = \frac{1}{1 + 14} \times 180\\\\m \angle 1 = \frac{1}{15} \times 180\\\\m \angle 1 = 12^{\circ}[/tex]
m<6 = ratio of <6 / sum of ratio x 180[tex]m \angle 6 = \frac{14}{1 + 14} \times 180\\\\m \angle 6 = \frac{14}{15} \times 180\\\\m \angle 6 = 168^{\circ}[/tex]
Since we know the measure of <1 and <6, we can find the measure of others as follows:
m<2 = m<6 = 168° (corresponding angles are congruent)m<3 = m<6 = 168° (alternate interior angles are congruent)m<4 = m<1 = 12° (vertical angles are congruent)m<5 = m<1 = 12° (corresponding angles are congruent)m<7 = m<6 = 168° (vertical angles are congruent)m<8 = m<4 = 12° (corresponding angles are congruent)In conclusion, given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:
m<1 = 12°
m<2 = 168°
m<3 = 168°
m<4 = 12°
m<5 = 12°
m<6 = 168°
m<7 = 168°
m<8 = 12°
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How do I solve this?
A=bh/2
A=2/3ft*3/5ft/2
A=2/3×5/5*3/5×3/3/2
A=10/15*9/15/2
A=90÷15/2
A=6ft^2
Answer:
The area of triangle is 1/5 feet².
Step-by-step explanation:
You have to use area of triangle formula, A = 1/2×height×base. Then substitute the following values into the formula :
[tex]area = \frac{1}{2} \times height \times base[/tex]
Let height = 3/5,
Let base = 2/3,
[tex]area = \frac{1}{2} \times \frac{3}{5} \times \frac{2}{3} [/tex]
[tex]area = \frac{1}{2} \times \frac{1}{5} \times \frac{2}{1} [/tex]
[tex]area = \frac{1}{2} \times \frac{2}{5} [/tex]
[tex]area = \frac{1}{5} {feet}^{2} [/tex]
6. Classify this kind of triangle:
Answer:
Number 3
Step-by-step explanation:
It is an acute isosceles because all the angles are acute and two sides are congruent.
Answer:
Acute and isosceles
Step-by-step explanation:
All the angles are less than 90
2 sides are equal
he factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot: 1 is labeled + x, 1 is labeled negative. 5 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 10 tiles are in the Product spot: 1 is labeled + x squared, 1 is labeled negative x, the 4 tiles below + x squared are labeled + x, and the 4 tiles below the negative x tiles are labeled negative. What are the factors of x2 + 3x – 4? (x + 4) and (x – 4) (x + 3) and (x – 4) (x + 4) and (x – 1) (x + 3) and (x – 1)
Answer:
x-1 and x+4. srry if i am wrong
Step-by-step explanation:
What is the length of AC? And Length of AB?
Answer:
The length of AC is 5 units. The length of AB is 3 units.
Step-by-step explanation:
What is 3(4a−3)−(6a+5)? (Thank you to everyone for their hard work!)
Answer:
6a−14
Step-by-step explanation:
Answer:
[tex]=6a-14[/tex]
Step-by-step explanation:
[tex]3\left(4a-3\right)-\left(6a+5\right)\\\mathrm{Expand}\:3\left(4a-3\right):\quad 12a-9\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\\mathrm{Simplify}\:3\cdot \:4a-3\cdot \:3:\quad 12a-9\\=12a-9\\-\left(6a+5\right):\quad -6a-5\\=12a-9-6a-5\\\mathrm{Simplify}\:12a-9-6a-5:\quad 6a-14\\=6a-14[/tex]
olivia has 2 gallons and 3 quarts of vanilla ice cream and 1 gallon and 2 quarts of ice cream left over form the party how many gallons and quarts does she have left
Answer:
She has 4 gallons and 1 quart left
Step-by-step explanation:
4 quarts equals a gallon. Add the 2 gallons with the one gallon and it's 3 gallons. Then add the 3 quarts with the other 2 quarts for another gallon with a quart left over. Add that gallon with the other three and she has 4 gallons and 1 quart. Hope this helps :>
find the y-intercept for parabola defined by this equation: y=-4x^2-x+3
Answer:
(0,3)
Step-by-step explanation:
An easy way to determine the y intercept of a function is to graph it, and to see where the function passes through the y axis. As you can see below, the y intercept of this graph is at (0,3). Hope this helps!
Answer:
Y intercept = (0,3)
Step-by-step explanation:
When looking at a equation like this the y intercept would always the the number without a variable beside it.
-x would be the slope of the function
So 3 is your y intercept
Hope this helps!
If the measure of angle 1 is (3x-4)º and the measure of angle 2 is (4x+10), what is the measure of angle 2 in degrees?
HELP !!!!!!!!!!!!!!!!!!!! Plz !!!!!!
Answer:
Angle 2 measures 58°
Step-by-step explanation:
Sum of all three angles formed = 180
Because the sum of angles on a straight line is always 180
Angle 1 =3x-4
Angle 2 = 4x+10
Angle 3= 90° (given)
So,
90+3x-4+4x+10=180
(4x+3x)+(90+10-4)= 180
7x+96=180
Bring 96 to the other side, making it negative,
7x = 180-96 = 84
x = 12
Therefore angle 2
= 4x+10
= (4)(12)+10
=48+10
=58°
What is the measure of the hypotenuse?
[tex]solution \\ hypotenuse = x \\ base = 12 \\ perpendicular = 5 \\ using \: pythagoras \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {5}^{2} + {12}^{2} \\ or \: {x}^{2} = 25 + 144 \\ or \: {x}^{2} = 169 \\ or \: x = \sqrt{169} \\ x = 13 \\ [/tex]
hope it helps....
Good luck on your assignment
Answer:
Step-by-step explanation:
using pythagoras theorem which says the square root of the sum of the square of the opposite side and the square of the adjacent side would give the value of the hypotenuse
hyp^2 = opp^2 + adj^2
i dont have the square root symbol but u can solve it either way :
you can input the values given and then collect like terms or u can take the square root of the right side. The right angle would always face the hypotenuse which is the longest side.
hyp = x
x^2=(5)^2 +(12)^2
x^2= 25 +144
x^2=169
take the square of both sides to get your value for x
x= 13
A bag has 5 blue marbles, 4 red marbles, and 3 green marbles. A student randomly picks a marble from the bag and then rolls a number cube
with sides labeled 1 through 6.
What is the probability that the student picks a blue marble from the bag, and then rolls a 4?
A.5/72
B.5/42
C.1/3
D.7/12
Answer:
A. 5/72
Step-by-step explanation:
5 + 4 + 3 = 12 marbles
5/12 - the probability that the student picks a blue marble.
1/6 - the probability that 4 is on the cube
The probability that the student picks a blue marble from the bag, and then rolls a 4
5/12 * 1/6 = 5/72
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
5x^2 + 10x
Step-by-step explanation:
Area = Width x Height
Area = (5x)(x+2)
Use distributive property
5x^2 + 10x
Answer:
A = 5x^2 + 10x
Hope this helps!
Edit: I did not copy hazeemmajid604's answer.. we just posted it at the same time.
simplify 36x^2/64x^2y
Answer: 3/4
Step-by-step explanation:
1. square root the denominator and nominator, 36= 6 and 64= 8
2. put them together (6/8)
3. simplify 6/8
4. 6/8 divided by 2
5. 3/4 is your answer
Length of DE is ___
units.
Length of DB is ___
units.
Measure of angle FED is ___
degrees.
Answer:
Length of DE = 7.5 units
Length of DB = 9.2 units
Measure of ∠FED = 82°
Step-by-step explanation:
In ΔABC,
AD ≅ BD and CE ≅ BE [Given]
By the theorem of mid-segments,
DE = [tex]\frac{1}{2}(AC)[/tex]
= [tex]\frac{1}{2}(15)[/tex]
DE = 7.5 units
Since AD ≅ FE ≅ 9.2 [By midpoint theorem in ΔACB]
Therefore, length of DB = 9.2 units
[Although it's not given in the question, but we assume FE║AB]
Since FE║AB and DE is a transverse,
Therefore, m(∠FED) ≅ m(∠BDE) ≅ 82° [Interior alternate angles]
A car was bought a year ago for £2375. It is now worth £1729. What percentage of the cost of the car is the car worth now?
Answer:
72.8%
Step-by-step explanation:
1729 / 2375 = 0.728 -> 72.8%
Answer:
72.8 %
Step-by-step explanation:
£2375 ............ 100%
£1729 ...................x%
x = £1729×100%/£2375 = £172900/£2375 = 72.8 %
al3xis
solve the equation x square - 9+20=0
Answer:
[tex]\sqrt{11i}[/tex]
Step-by-step explanation:
x^2-9+20 = 0
x^2+11 = 0
x^2 = -11
x = [tex]\sqrt{-11} \\\sqrt{11i} \\[/tex]
Triangle ABC has a perimeter 22cm AB = 8cm BC =8cm By calculation, deduce whether triangle ABC is a right angle triangle. NEED AN ANSWER ASAP
Answer:
No ABC is not a triangle
Step-by-step explanation:
Perimeter = 22 cm
AB = 8 cm ; BC = 8 cm
AC = 22 - ( 8 + 8 ) = 6 cm
But all those sides doesn't follow Pythagorean Theorem(AB^2 + BC^2 = AC^2) ....because 8^2 + 8^2 isn't equal to 6^2 ......
Had it followed the theorem , it could have been a right angle triangle...
3.
Which of the following points lie on the x-axis?
(A) (3,4)
(B) (7,0)
(C) (0,8)
(D) (-9,0)
(F) (-3,-5)
Answer:
D and B is the answer
Step-by-step explanation:
Here is a graph with the points
Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 40.9, and 38 miles. Their solutions are shown. Sam’s Solution Bruno’s Solution If one kilometer equals 0.621 miles, which is the best solution to find the total number of kilometers they rode? Why is it correct?
Answer:
Bruno will do 45.7
Step-by-step explanation:
1- gather all info
2-subtract
3- YOURE answer
Just the top half is what I need help with. I will give the the big
Answer:
Step-by-step explanation:
5.volume=8×7×6=336 mi³
6.r=16/2=8 yd
volume=4/3×π×8³=2048/3 π yd³
≈2144.7 yd³
7.r=2.5/2=1.25 in
v=πr²h=π×1.25²×5
volume of 150 cups=7.8125 π×150=1171.875 π in³≈3681.6 in³
8. statement not visible.
Help PLZZZ
Describe the change in the graph of the parabola f(x) when it transforms into g(x) = two thirdsf(x).
A The parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x).
BThe parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x).
CThe parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x).
D The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Answer:
The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Step-by-step explanation:
Answer:
It's B.
Step-by-step explanation:
I took the test.
How do I complete this formal check?
Answer:
Step-by-step explanation:
The first two steps are for the purpose of eliminating fractions. Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.
Perform the indicated multiplication, obtaining:
8x - 20 = 9x - 18.
Then combine like terms: -2 = x, or
x = -2.
To complete the formal check, substitute -2 for x in the first equation. This results in:
(1/3)(-4 - 5) = (3/4)(-2 -2), or
-3 = -3
... which is obviously true.
Need help please help me
Answer:
0.000000207 in scientific notation = 2.07 × 10^-7
Remember it has to have one number before the decimal.
8.2 * 10^-7 in standard form = 0.00000082
YOu have to move the decimal back.
In the first box the answer is 2.07 × 10^-7.
In the second box the answer is 0.00000082.
The rati of the number of moons the planet neptune has to the number that saturn has is 4 to 9 saturn has 18 moons how many moons does nepturn have ???
Answer:
HEY!
Neptune contains 8 moons.Step-by-step explanation:
18/9) *4 = 8 moons. Hence, Neptune has a total of 8 moons according to the given conditions.
2.
85, 78, 82, 76, 89, 77, 78, 42, 83, 84, 87, 85, 78
What effect does the outlier have on the mode of this data?
1. The mode increases.
2. The mode decreases.
3. The mode cannot be calculated.
4. The mode remains the same.
Answer:
the mode remains the same
Step-by-step explanation:
42 is outlier.
mod is the most repetitive number of a number string, and outlier does not change it.
the mode remains the same.
How many complex numbers have modulus of 5?
9514 1404 393
Answer:
an infinite number
Step-by-step explanation:
In the complex plane, all of the numbers with modulus 5 form a circle of radius 5 around the origin. There are an infinite number of points on that circle.
An infinite number of complex numbers have a modulus of 5.
Simplify the following expressions by using distributive property. 3x^2(4x-3)
Answer:
12x^3-9x^2
Step-by-step explanation:
[tex]3x^2(4x-3)= \\\\3x^2(4x)+3x^2(-3)= \\\\12x^3-9x^2[/tex]
Hope this helps!
En un colegio hay dos grupos de 1º ESO con 24 alumnos cada uno.
a) Si las chicas de 1º A son el doble que los chicos, ¿cuántas chicas hay en la clase?
b) Si el número de chicas de 1º B supera en cuatro al de chicos, ¿cuántos chicos
hay?
Answer:
I will answer in English.
In each group, A and B, we have 24 students.
a) The number of girls in A is twice the number of boys in A.
Then, if G is the number of girls and B the number of boys.
G + B = 24
G = 2B
Now we can replace the second equation into the first one:
2B + B = 24
3B = 24
B = 24/3 = 8
G = 24 - 8 = 16
We have 16 girls in class A.
b) In B we have 4 more girls than boys, then:
G = B + 4
G + B = 24
we can replace the first equation into the second one:
B + (B + 4) = 24
2*B = 24 - 4 = 20
B= 20/2 = 10
We have 10 boys in class B:
The volume of a sphere whose diameter is 18 centimeters is
Answer:
please give more clarification
A lock requires a 3 number combination using the numbers 0 through 9, none of which may be repeated. How many outcomes are possible?
48
720
12010
Answer:
720
Step-by-step explanation:
The lock requires that repetition is not allowed.
The possibles numbers are 0 - 9, that is, 10 digits.
The first number in the combination can be picked from the 10 digits.
This means that there are 10 possible choices.
The second number in the combination can now only be picked from 9 digits.
This means that there are 9 possible choices.
The third number in the combination can now only be picked from 8 digits.
This means that there are 8 possible choices.
Therefore, the number of possible outcomes in the combination is:
10 * 9 * 8 = 720 outcomes
