Explanation:
The given line y = 3x+1 has a slope of 3 as it is in the form y = mx+b
Any line parallel to this given line will also have a slope of 3. Parallel lines have equal slopes but different y intercepts.
Using m = 3 and (x,y) = (4,7), find the value of b
y = mx+b
7 = 3*4+b
7 = 12+b
12+b = 7
b = 7-12
b = -5
We have y = mx+b update to y = 3x+(-5) or y = 3x-5
Plug in x = 4 and you'll have y = 3x-5 turn into y = 7.
The sum of two integers is -1. The first number plus 3 times the second is 67. What are the two numbers?
Answer:
x=35
y=34
Step-by-step explanation:
x+y=-1
x+3y=67
x=-3y+67
-3y+67+y=-1
-2y+67=-1
-2y=-68
y=34
x=-35
What is the sum of 2.5 × 104 and 3.4 × 104? (1 point)
Answer:
5.9× 10^4
Step-by-step explanation:
I'm assuming that by "104" you actually meant "10^4," which reads "fourth power of 10." Please be sure to use the symbol " ^ " to express exponentiation.
The sum of 2.5 × 10^4 and 3.4 × 10^4 is (2.5 + 3.4)×10^4
or
5.9× 10^4
can anyone slove this question.
Answer:
11%
Step-by-step explanation:
The equation would be 99=1200(r)(0.75). You would solve the equation to get the answer 11/100. Then you could convert it to a decimal to get 0.11, Then multiply the decimal by 100 to get 11.
How many solutions does the system have? y=5+6x y=6x+5
Answer:
Infinitely many solutions
Step-by-step explanation:
2.
A gallon of paint will cover an area of 200 ft. What are
the dimensions of the largest square wall that could be
covered by that gallon?
F.
14.1 ft x 14.1 ft
15 ft x 15 ft
14 ft x 14 ft
15.8 ft x 15.1 ft
H.
J.
Answer:
Step-by-step explanation:
You multiply 14.1 times 14.1 and you get 198.81 which is the closest to 200
How would I solve this?
Answer:
3(6)-1
----------------
2(6)+1
Step-by-step explanation:
r(x) = 3x-1
s(x) = 2x+1
r(6) / s(6)
r(6) = 3(6)-1
s(6) = 2(6)+1
Putting r(6)/ s(6)
3(6)-1
----------------
2(6)+1
PLS HELP ME
Which expression is equivalent to (4.5×102)+(6.0×103) and written in scientific notation?
A
1.05×106
B
2.7×106
C
6.45×103
D
10.5×105
Answer:
C
6.45×103
Step-by-step explanation:
have a good day
An equivalent expression in scientific notation is,
⇒ 6.45 × 10³
Option C is true.
What is Scientific notation?Scientific notation is a way of writing a very large or very small numbers. For example; 230,000,000 can be written in scientific notation as 2.3 x 10⁸.
Given that;
The expression is,
⇒ (4.5×10²) + (6.0×10³)
Now, We can simplify the expression as;
⇒ (4.5×10²) + (6.0×10³)
⇒ (4.5×10²) + (60×10²)
⇒ (4.5 + 60) × 10²
⇒ 64.5 × 10²
⇒ 6.45 × 10³
Learn more about the scientific notation visit:
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A. 28.1 cm squared
B. 3.8 cm squared
C. 11.3 cm squared
D. 56.2 cm squared
Answer:
A. 28.1 cm^2
Step-by-step explanation:
a = bh
a = (7.6)(3.7)
a = 28.12 cm^2
a = 28.1 cm^2
A bag contains 3 red marbles, 4 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be red?
Answer:
0.091
Step-by-step explanation:
So you have 12 marbles in all.
If you take out 1, there is a 1 / 3 chance that it is red.
If you take out the second one, there is a 3 / 11 chance it is red if the first one is red.
1 / 3 * 3 / 11 = 1 / 11
0.091
please help it's about math
Answer:
Step-by-step explanation:
surface area=area of four sides+area of top
=2(24+13)×8+24×13
=2×37×8+24×13
=592+312
=904 cm²
area of one tile=1×1=1 cm²
number of tiles=904/1=904
it was recently estimated that females outnumber males by seven to three. if there are 3450 people in a country, how many are females.
There are 2415 females in the country.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
There are 3450 people in a country.
It was recently estimated that females outnumber males by seven to three.
That means,
70% are the females.
So, the number of females,
= 70% of, 3450
= 70 x 3450 / 100
= 2415.
Therefore, 2415 females are in the country.
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2(t+1) = 102(t+1)=10 t=?
Answer:
t = 9/10. Try to substitute the t value into all the t's to see if the answer is correct. Ex: 2t+2, 2(9/10) + 2
Step-by-step explanation:
First you are going to multiply the 2 with the t+1, which is 2t+2. Then you are going to do the same with the other side of the equation. 102 times t+1 is 102t+102.
Now the equation is 2t+2 = 102t+102 = 10
You are now going to combine like terms, 2t - 102t = 102 - 2 = 10
-100t = 100 = 10.
Now subtract 100 from 100 and 10, which makes it: -100t = -90
Then you are going to make the -100t = -90 to -10t = -9, finally it is t = 9/10
Answer:
t = 4
Step-by-step explanation:
Which of the following could be the side lengths of similar triangles?
Question 5 options:
1, 2, 3 and 4, 5, 6
2, 3, 8 and 4, 6, 16
1, 1, 7 and 2, 3, 14
5, 10, 20 and 5, 10, 15
Answer:
1rst option
Step-by-step explanation:
Please find the question
Answer:
By distance formula ,
AB² = (5+1)² + (3-6)²
AB² = 36 + 9
AB = 6.71 units
In class of 24 students, 1/3 of the class has brown eyes. How many students have brown eyes?Immersive Reader
Answer:
8 have brown eyes
Step-by-step explanation:
you do the total number of student over the faction
24/3=8
Answer:
8 students in the class have brown eyes
Step-by-step explanation:
to find how many students in the class has brown eyes multiply 3/4 with total number of students in the class.
1/3 ×24=8
Which polynomial is equivalent to the expression
Answer:
The correct answer is B
the answer is attached to the picture
Answer:
[tex]4 {y}^{2} -12y + 9[/tex]
Answer C is correctStep-by-step explanation:
[tex](2y - 3)(2y - 3) \\ 2y(2y - 3) - 3(2y - 3) \\ 4 {y}^{2} - 6y - 6y + 9 \\ = 4 {y}^{2} - 12y + 9[/tex]
Reynaldo rode his bike 2 miles north and 3 miles east. Which equation should he use to find the distance, d, that takes him directly back home?
A triangle has side lengths 2, 3, and hypotenuse d.
2 squared + 3 squared = d squared
3 squared minus 2 squared = d squared
d squared + 2 squared = 3 squared
d squared + 3 squared = 2 squared
Answer:
The first one, 2 square+ 3 squared= d squared
Step-by-step explanation:
The theory for finding the hypotenuse of a triangle is:
[tex]a^{2} + b^{2} = c^{2}\\or\\(2)^{2}+(3)^{2}=d^{2}[/tex]
Answer: Option A
(A) 2 squared + 3 squared = d squared
2^2+3^2=d^2
Step-by-step explanation:
8=72
2=6
5=30
9=?
what is the value of ?
Answer:
108?
Step-by-step explanation:
Answer:
108
Step-by-step explanation:
9×12=108
8(9) is72
2(3)is 6
5(6) is 30
9( ×12 +a{6}) is 108
What is the volume (in cubic units) of a sphere with a radius of 21 units? Assume that =3.14 and round your answer to the nearest hundredth when necessary.
Answer: [tex]V=38772.72\ units^3[/tex]
Step-by-step explanation:
Given
radius of sphere [tex]r=21\ units[/tex]
Volume of sphere can be calculated by this formula
[tex]V=\frac{4\pi }{3}r^2[/tex]
[tex]V=\frac{4\pi }{3}\times (21)^3[/tex]
[tex]V=\frac{4\pi }{3}\times 9261[/tex]
[tex]V=38772.72\ units^3[/tex]
Which equations have a leading coefficient of 3 and a constant term of -2?
Answer:
Step-by-step explanation:
So you just need:
Number here = (3 * variable ^ number greater than 2) - 2
Which of the following equations are true? Select all that apply.
2
Answer: Can you explain it more please :D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the length of leg s of the triangle below?
245
909
A. 2.2
B. 16
C. 4
D. 1.5
E. 1.5
F. ^32
Answer:creo que es la E
Step-by-step explanation:
Find the area of the regular pentagon. WILL GIVE BRAINLIEST!
Answer: 61.5
Step-by-step explanation:
Area of a regular pentagon= pa/2
Perimeter: 30
Apothem is shown as 4.1
30*4.1= 123
123/2
61.5
pls mark me brainliest if im right
100 POINTS. WILL MARK BRAINLIEST
It is a very stormy morning. Only 3/4 of the students made it to school. Another one third of the total number of those students that made it to school will be leaving for a band concert. Normally there are 36 students in class, how many will be in class that day?
I think the answer is 18 students.
Step-by-step explanation:
36 × [tex]\frac{3}{4}[/tex] = 27
27 × (1 - [tex]\frac{1}{3}[/tex]) = 27 × [tex]\frac{2}{3}[/tex] = 18
I hope I helped you! If my answer is correct, please mark me brainiest. Thanks!
A bag of animal crackers contains 5 monkeys, 4 giraffes, 6 elephants, and 3 tigers. Suppose you draw a cracker at random. Find the probability of pulling a monkey cracker as a fraction.
Answer:
5/18
Step-by-step explanation:
Step one
Given data
5 monkeys,
4 giraffes,
6 elephants, and
3 tigers.
Step two
Given the sample space
S =(5, 4,6,3) = 5+4+6+3=18
Step three
the probability of pulling a card at random when picking up a card is
Pr(monkey) = 5/18
Good Taste Food Company asked 100 randomly selected students at Ridgemont High School the question, "Do you prefer pizza or a veggie burger for lunch?" and 67, percent answered "pizza."
Answer: 67 percent of all students at Ridgemont High prefer pizza for lunch.
Step-by-step explanation:
Here is the complete question:
Good Taste Food Company asked 100 randomly selected students at Ridgemont High School the question, “Do you prefer pizza or a veggie burger for lunch?” and 67%, percent answered “pizza.”
Based on this data, which of the following conclusions are valid?
a. 67, percent of all students at Ridgemont High prefer pizza for lunch.
b. 67, percent of the students in the sample prefer pizza for lunch, but we cannot conclude anything about the population.
c. About 67, percent of all teenagers prefer pizza for lunch.
From the question, we are informed that Good Taste Food Company asked 100 randomly selected students at Ridgemont High School the question, which is "Do you prefer pizza or a veggie burger for lunch?" and then 67, percent answered "pizza.
Based on the scenario, this shows that 67% of the students at Ridgemont High School prefers pizza whenever they want to have lunch.
Answer:
A
Step-by-step explanation:
What number is greater than -8.67
Answer:
Any number over then 1 is greater than -8.67 and any number less than -8.67is greater as well.
Step-by-step explanation:
The side of a ramp is triangle. The hypotenuse has a length of 11.1 feet, and the other 2 sides have lengths of 11 feet and 1.5 feet.
The side of a ramp is to be painted. The ramp has a length of 11.1 feet, reaches a height of 1.5 feet, and runs 11 feet on the ground. What is the area of the space that will be painted? If necessary, round to the nearest tenth.
The area of the painted space is
square feet.
Answer:
Step-by-step explanation:
area of two sides of ramp=2*1/2*11*1.5=16.5 ft²
Answer:
8.3 ft
Step-by-step explanation:
area of two sides of ramp=2*1/2*11.1*1.5= 8.3 ft
Jason knows that the equation to calculate the period of a simple pendulum is , where T is the period, L is the length of the rod, and g is the acceleration due to gravity. He also knows that the frequency (f) of the pendulum is the reciprocal of its period. How can he express L in terms of g and f?
Answer:
[tex]L=\dfrac{g}{4\pi^2 f^2}[/tex]
Step-by-step explanation:
The equation to calculate the period of a simple pendulum is: [tex]T=2\pi \sqrt{\frac{L}{g} }[/tex]
Where:
T is the periodL is the length of the rod; and g is the acceleration due to gravity.Likewise, Frequency (f) of the pendulum [tex]f=\frac{1}{T}[/tex] therefore [tex]T=\frac{1}{f}[/tex]
We want to express L in terms of g and f.
From
[tex]T=2\pi \sqrt{\frac{L}{g} }[/tex]
[tex]T=\frac{1}{f}[/tex]
[tex]\frac{1}{f}=2\pi \sqrt{\frac{L}{g} }\\$Divide both sides by 2\pi\\\dfrac{1}{2\pi f}=\sqrt{\dfrac{L}{g} }\\$Square both sides\\\left(\dfrac{1}{2\pi f}\right)^2=\dfrac{L}{g}[/tex]
[tex]\dfrac{1}{4\pi^2 f^2}=\dfrac{L}{g} \\$Multiply both sides by g\\Therefore: L=\dfrac{g}{4\pi^2 f^2}[/tex]
Randy is using a map scale of 1 inch is 24 miles find the length of the map from east to west and the link from north to sell the distance across the state is 430 miles an from north to south the greatest distance about 200 miles
Answer:
theez nutz
Step-by-step explanation: