Answer:
7/12
Step-by-step explanation:
12 is they're denominators GCF so we we multiply 1/4 by 3 to get 3/12 and 1/3 by 4 to get 4/12.
3/12+4/12=7/12
Hope this helps! :)
In City Lake, researchers caught, marked, and released 213 bass. Later, they took a sample of 104 bass and found that 13 were marked. Estimate the number of bass in the lake.
A. 1704 bass
B. 520 bass
C. 27 bass
D. 1846 bass
Answer:
A : 1704
Step-by-step explanation:
13/104 = 213/1704
The estimated number of bass in the lake is 1704 bass if the researchers in the city lake caught, marked, and released 213 basses.
What are the population and sample?The population and sample are described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.
We have given that, the researchers caught, marked, and released 213 basses. Later they took a sample of 104 basses and found that 13 were marked.
Proportion = 104/13 = 8
It means 1 marked fish in every 8 fish
The number of basses in the lake = 8×213 = 1704 bass
Therefore, the estimated number of bass in the lake is 1704 bass if the researchers in the city lake caught, marked, and released 213 basses.
Hence, they took a sample of 104 basses and found that 13 were marked option A; 1704 is correct.
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Write the equation of the line in slope-intercept form
Write an equation of a line in slope-intercept form with a slope of -12 and a y-intercept of 3.
a
y = 3x - 12
y = -12(3)+b
Ob
Ос
3= -12x + b
Od
y=-12x + 3
Answer:
y = -12x + 3
Step-by-step explanation:
The slope-intercept form of an equation can be written as y = mx + b where m is the slope and b is the y-intercept. We are given both values, so we can plug them into the equation to get:
y = mx + b
y = -12x + 3
Which of the following is the correct graph of the compound inequality 4p + 1 >-11 or 6p +3 <39
Answer:
Option C
only there is p > -3
p < 6
Answer:
c
Step-by-step explanation:
does anyone know the answer for his ?
Write the standard form of an equation with p= 5 and phi= 4pi/3
Answer:
above the quadrant choose the numbers 5 and 4pi then multiply them by 3 to get your answer
Step-by-step explanation:
Evaluate expression-What is the value of the expression when x=11 and y=7
A.4
B.128
C.49
D.14
Answer:
C. 49
Step-by-step explanation:
Start by filling in your values.
[tex]7^{2} + 99 / 11 - 9[/tex]
Solve using PEMDAS.
49 + 99 / 11 - 9
49 + 9 - 9
58 - 9
49
Answer:
[tex]c .\: \: 49[/tex]
Step-by-step explanation:
[tex] {y}^{2} + 99 \div x - 9[/tex]
[tex] {7}^{2} + 99 \div 11 - 9[/tex]
[tex] 49 +99÷11-9[/tex]
[tex]49+9-9[/tex]
[tex]58-9[/tex]
[tex]49[/tex]
Hope it is helpful...explicit formula for an the nth term of the sequence 38,48,58
Answer:
10n + 28
Step-by-step explanation:
a + d (n-1)
a = 38
d = 10
38 + 10 (n-1)
38 + 10n -10
10n +38 - 10
10n + 28
Hope this helps!
Two angles are complementary. One angle is
fifteen more than twice the other angle.
What is the measure of each angle?
Step-by-step explanation:
Hey there!
Let "x°" be the first angle.
According to the question; the another angle is (2x+15)°. {since the condition of the question is fifteen more twice of the other angle }
Also, we know that complementary angles sum is 90°.
Then;
x° + 2x° + 15° = 90°
3x ° = 90°-15°
3x = 75°
x = 75°/3
Therefore, the angles are 25° and 65°.
Hope it helps!
What are the x- and y- intercepts for the graph of 5x-2y= 20
Answer:
x intercept: 4 y intercept: -10
Step-by-step explanation:
Use desmos graphing calculator :)
If 24 - 2x = 19 + 3x, then x =
Answer:
1 =x
Step-by-step explanation:
24 - 2x = 19 + 3x
Add 2x to each side
24 - 2x+2x = 19 + 3x+2x
24 = 19 +5x
Subtract 19 from each side
24-19 =19+5x-19
5 = 5x
Divide by 5
5/5 = 5x/5
1 =x
Every tenth customer to Macy's end of the season sale gets a $10
coupon. Every twenty-fifth customer gets a free gift bag. Which customer
will be the first one to get both the $10 off coupon and the gift bag?
Answer:
50th
Step-by-step explanation:
10 multiply by 5 is 50
And 25 multiply by 2 is 50
50 is the first to appear on both sides
If a computer prints 225 lines in 3 seconds how many lines can it print per minute
Answer:
225 lines * 60 seconds = 13500 lines = 4500 lines
3 Seconds 1 minute 3 minutes 1 minute
Step-by-step explanation:
1. State whether the following sets of lines
are parallel, perpendicular, or neither.
A y=5 and y = -2
B y=8 and x = 8
C y = 4x + 8 and y = -4x - 2
D y=-X+6 and y = x + 1
E y = 6x + 2 and y = 6x
If the farm has 10,000 spinach plants, Describe a method that would produce a random sample and how many in your sample study?
Answer:
Take an even number of random samples from the 10000 spinach plants
lets assume you take ; 100 random samples each sample will contain = 10,000 / 100 = 100 spinach plants
Step-by-step explanation:
Given that the total number of spinach plants in the farm = 10,000
To obtain a random sample, take a census of the number of farms wherein the spinach plants are planted, determine the mean size and standard deviation of the farm that way you can apply the central limit theorem.
After determining these Take an even number of random sample from the 10000 spinach plants
lets assume you take ; 100 random samples each sample will contain = 10,000 / 100 = 100
In ΔHIJ, the measure of ∠J=90°, IH = 5, HJ = 4, and JI = 3. What is the value of the tangent of ∠I to the nearest hundredth?
The required triangle is possible, the value of the tangent of ∠I is 1.33.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to estimate the measures of one (or both) of the acute angles.
In a right triangle, the tangent of one of the acute angles is defined as the ratio of the length of the opposite side to the length of the adjacent side. In this case, we are looking for the tangent of ∠I.
Using the Pythagorean theorem, we can find the length of the third side, HJ, of the right triangle:
HI² = HJ² + IJ²
5² = 4² + 3²
25 = 16 + 9
tan(∠I) = opposite/adjacent = HJ/ JI = 4/3
Rounding to the nearest hundredth, we get:
tan(∠I) ≈ 1.33
Therefore, if the triangle is possible, the value of the tangent of ∠I is 1.33.
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Erica took out a loan to buy her new motorcycle. The purchase price of the motorcycle was $11349.00 plus 5% GST and 7% PST. She pays $409.00 per month on her loan, which has a term of 3 years. How much more is she paying than the purchase price? a. $2415.74 b. $1610.50 c. $2254.69 d. $2013.12
Answer:
The correct answer is D. $2,013.12.
Step-by-step explanation:
Since Erica took out a loan to buy her new motorcycle, and the purchase price of the motorcycle was $ 11349.00 plus 5% GST and 7% PST, and she pays $ 409.00 per month on her loan, which has a term of 3 years, for To determine how much more is she paying than the purchase price, the following calculation must be performed:
11,349 + (11349 x 0.12) = X
11,349 + 1,361.88 = X
12,710.88 = X
409 x 12 x 3 = X
4,908 x 3 = X
14.724 = X
14,724 - 12,710.88 = X
2,013.12 = X
Therefore, Erica is paying $ 2,013.12 more than the purchase price.
gabby volunteers at an animal shelter. Last month she volunteered 1 3/4 hours on each of 3 Saturday. She also volunteered 3/4 hour on 4 Wednesday evenings. How many hours of volunteer work did Gabby put in last month.
Answer:
8 1/4 hoursStep-by-step explanation:
Total hours:
3(1 3/4) + 4(3/4) = 3 + 3*3/4 + 3 = 6 + 9/4 = 6 + 2 1/4 = 8 1/4 hoursi need help u guysss
Answer:
Step-by-step explanation:
3 = 1(1 + x)^4
let q = 1 + x
3 = q^4
ln(3) = 4 ln(q)
ln(3)/4 = ln(q)
.274 = ln(q)
q = e^.274 = 1.316
x = .316
Future amount = 48(1+.316)^4
Future amount = 143.96
if the pressure is 50 Pa and the mass of the object is 50 kg ,what is the surface area of the object?
Answer:
9.81m^2
Step-by-step explanation:
Given data
Pressure P= 50Pa
Mass M= 50kg
Weight= Mg= 50*9.81= 490.5N
Hence Force= 490.5N
We know that Pressure= Force/Area
Substitute
50= 490.5/Area
Area= 490.5/50
Area= 9.81 m^2
Hence the area is 9.81m^2
Heeeelp please I'm desperate
Answer:
A = 108 ft²
Step-by-step explanation:
the length of the smaller rectangle must be 9 (27÷3)
therefore, the ratio of length to width is 3/9 and if the polygons are similar then the length and width of the larger shape would be 6/18
18 x 6 = 108
Frereise !
Calculate the coordinates of the intersection point of the two lines (4.) and ((,)
1) (d): y = 4x-2 and (d): y = 8v+6 2)(a); y .-2x + 7 and (d): y = 3x - 3
3)(y *d
4) (4): y
and (d): y -
1
1
1
3
4
5
Exercise 2
1) The straight line (d): y = 5x + 2 cuts (x'x) and (y'y) at two points E and F respectively,
Calculate the coordinates of E and F
2) The straight line (d): y = cuts (x'x) and (y'y) at two points E and F respectively,
Calculate the coordinates of E and F
3
5
.
: y
2
Answer:
Mastong by skoger넞호오ㅗ노아ㅗ너너엉
In the number pattern above each term is 2 less than the previous term which of the following is also true about the pattern
A. All the numbers are odd
B.all the numbers are even
C.all the numbers are multiplies of 3
D. All of the numbers are prime
please help soon, i can't seem to figure this one out!!
Consider the following equation. -2x + 6 = -(2/3)^x + 5. Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a starting point.
A. x = 3/4
B. x = 13/16
C. x = 7/8
D. x = 15/16
The required solution after three successive iterations is near x = 7/8. Option c is correct.
Equation is -2x + 6 = -(2/3)^x + 5. Approximate the solution to the equation above using three iterations of successive approximation.
The equation is the values of two expressions that are equal.
Here,
[tex]-2x + 6 = -(2/3)^x + 5[/tex]
Arranging the equation
[tex]-2x + 6 +(2/3)^x - 5 = 0\\(2/3)^x-2x+1=0[/tex]
Since the solution of the equation is when f(x) = 0 at near to x = 0.8
[tex]f(x) = (2/3)^x-2x+1\\[/tex]
First iteration at x =0.8
[tex]f(0.8) = (2/3)^x-2x+1\\ = (2/3)^{0.8}-2*0.8+1\\ = 0.123[/tex]
It will go up more to get exact zero, so
Second iteration at x = 0.9
[tex]f(0.9) = (2/3)^{0.9}-2*0.9+1\\f(0.9) = -0.106[/tex]
It seems that zero is near 0.9 so will go down
The third iteration at x = 0.87
[tex]f(0.87) = (2/3)^{0.87}-2*0.87+1\\f(0.87) = -0.037[/tex]
Here , solution is much near to x = 0.87 or x =7/8.
Thus, the required solution after three successive iterations is near x = 7/8.
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What is the measure of an angle if it is fourteen times its own complement?
Answer:
Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees.
100 points and brianllest for whoever answer first
Answer:
5/12 hour or 25 minutes
Step-by-step explanation:
The formula is
distance = rate * time
changing minutes to hours (50 * 1 /60 ) = 5/6 hours
distance = 20 mph * 5/6 hours
distance = 50/3 miles
We need to go the same distance at 40 mph
50/3 = 40 mph * time
Multiply each side by 1/40
50 /3 * 1/40 = 40 * 1/40 *t
50/3 *1/40 =t
5/12 of an hour
Changing back to minutes
5/12 * 60 =25
Can someone help me?It's urgent and thank you!
Two angle in a triangle equal 120°. What is the measure of the third angle?
a) 60°
b) 70°
c) 80°
d) 90°
e) 120°
Answer:
a) 60, because in every triangle, the angles always add up to 180. there are three angles in a triangle, and you k is two add to 120, so of you and 60 to 120 you get 180
If the sum of the measures of 21 and 22 is 180°, what is the sum of the measures of 23 and 24?
Answer:
180
Step-by-step explanation:
it is a quadrilateral that has 360 degrees in total. So if 1 and 2=180 then 3 and 4=360-180=180. Hope this is right.....
Algebra Mary decided to travel from home to school which is 600 metres away. She started by walking “x” metres, then ran for twice the distance she walked. Mary then decided to take the bus for the rest of the journey which 65 metres more than the distance she ran. a) State an expression in terms of x for; i) the distance Mary ran [1 mark] ii) the distance Mary travelled by bus . [2 marks] iii) the total distance travelled [ 2 marks] b) Using the balancing method, solve the equation, hence state the distance Mary walked. [4 marks]
Answer:
Step-by-step explanation:
Distance traveled by walking = x
i) The distance Mary run = 2 *x = 2x
ii) Distance traveled by bus = 65 m more than the distance she ran
= 65 m more than 2x
Distance traveled by bus = 2x + 65
Total distance traveled = 600 m
x + 2x + 2x +65 = 600
5x + 65 = 600
5x = 600 - 65
5x = 535
x = 535/5
x = 107
Distance Mary walked = 107 m
