Rochelle is competing in a marathon. She knows that once she runs 14.7 km she will have completed 35% of the marathon
Given :
Rochelle is competing in a marathon.
She knows that once she runs 14.7 km she will have completed 35% of the marathon.
To Find :
Total length of the marathon.
Solution :
Let, total distance of the marathon is x km.
So, 35% of x is 14.7 .
In mathematics :
[tex]14.7 = x\times \dfrac{35}{100}\\\\x = \dfrac{14.7\times 100}{35}\\\\x = 42\ km[/tex]
Therefore, total length of the marathon is 42 km.
The diagonals of a rectangle have length 12 and intersect in a 40 degree angle. Find the length and width rounded to the nearest tenth.
Answer:
Length is 7.7 and width is 9.2
Step-by-step explanation:
The length and width of the rectangle will be the y and x coordinate of the diagonal line at angle of 40 degrees
Length L = dsin theta
Width W = d coos theta
d is the length of the diagonal
Given
d = 12
theta = 40°
Substitute
Length = 12sin40°
Length = 12(0.6428)
Length = 7.7135
Length ≈ 7.7
Width = 12cos 40
Width = 12(0.7660)
Width = 9.192
Width = 9.2
Hence the length is 7.7 and width is 9.2
Jana earns $25 per week for mowing the lawn and deposits the money into her savings account. The amount of money in Jana's account can be
represented by the equation y = 25x + 125, where x is the number of weeks she has been mowing the lawn. What does the y-intercept of the graph
represent in this situation?
Hi there! x would be 6 weeks..
Explanation:
So here says that Jana earns $25 per week for mowing the lawn. But in “x” weeks, she earns $125...this means that you would have to divide 125 with 25 or 25 multiply by x to find the answer of x.
How much does 25 go to 100? Well it would be 5. So for $100 it would be 5 weeks. We also know that 25 is 1 week. So add 5 with 1. 5 plus 1 would be 6.
Therefore, for $125, Jana would have to work for 6 whole weeks.
which of the following expressions is equal to 5-2m?
A) 7-2(m+1)
B) 7-2(m-2)
C) 7-(2m-5)
A restaurant offered 18% off the price of an entree. The amount of discount was $2. What is the regular price of the entree?
What do you add to 4 2/7 to make 7
Pls I need answers ASAP plssssss
Noah was hired for $28.751.00 per year. How
much does Noah receive per week?
Answer:
$552.90
Step-by-step explanation:
There are 52 weeks in a year
28,751/52= 552.9038462
since this is money you just round
Combine the like terms to create an equivalent expression:
-3r- 6+ (-1)
Answer:
-3r+5 is that answer hdj
Answer:
-3x-7
Step-by-step explanation:
-6 + -1 = -7
find x=, if x+1=11 hurry!!
Answer:
x = 10
Step-by-step explanation:
x + 1 = 11
x = 10
Solve this x²- 3x²- 9x + 27
A. 2(x + 4)(x - 1)(x + 2)
B. 2(x + 4)(x^2 + 2)
C. 2(x + 4)(x + 1)(x - 2)
D. 2(x - 4)(x^2 - 2)
Answer:
C. 2(x + 4)(x + 1)(x - 2)
Step-by-step explanation:
Hope this will help
PLZ HELP ME:Evaluate: What is the value of the expression -5(3 + 4)?
Answer:
-35
Step-by-step explanation:
PEMDAS
Answer:
-35
Step-by-step explanation:
PEMDAS
solve for 3+4=7
-5*7=-35
10×-50
---------- =13
5
Answer:
I think it's -500 = 135
Step-by-step explanation:
multiply 10 and -50 to get -500
PLEASE HELP ME ASAP!!!!!!!!!!!!
The winner gets...
17 POINTS AND BRAINLIEST!!!!!!!!!!!!
The diagram shows the scores given by the panel of judges during a dancing competition.
B) There were 5 judges.
They each gave one score in each round competition.
How many rounds were there?
Answer:
a) score 2 and 3.
b) 30 rounds
Step-by-step explanation:
a) score 2 and 3 have same number of frequency which is 7 times, meaning that there are 7 persons get score 3 and 2 respectively.
b) frequency of number of score are 30 times, which means 30 rounds.
score 1: 3 times,
score 2: 7 times,
score 3: 7 times,
score 4: 8 times,
score 5: 5 times.
Answer:
a and b is the answer
the previous answer is a good answer
-8+2n+10+5n simply the expression .
URGENT i need the answer for number 23 tyyyy
Answer:
The y-intercept should be -3 since it is 4x-3 so no your friend is not right
Step-by-step explanation:
pls show work! questions on pic
Answer:
a.(10,23)
b.(7,30)
e.(20,20)
Step-by-step explanation:
We are given that
x=Width of garden
y=Length of garden
According to question
[tex]x\geq 5[/tex]
[tex]y\geq 20[/tex]
Perimeter of rectangle=[tex]2(x+y)[/tex]
Where x=Width of rectangle
y=Length of rectangle
Fencing used =[tex]2(x+y)[/tex]
[tex]2(x+y)\leq 80[/tex]
First we change inequality into equality
[tex]x=5[/tex]...(1)
[tex]y=20[/tex]...(2)
[tex]2(x+y)=80[/tex]
[tex]x+y=40[/tex]...(3)
Substitute x=0 in equation (3)
[tex]y=40[/tex]
Substitute y=0 in equation (3)
[tex]x=40[/tex]
Substitute x=0 and y=0 in equation (3)
[tex]2(x+y)\leq 80[/tex]
[tex]0\leq 80[/tex]
It is true. Therefore, the shaded region below the line.
[tex]0\geq 5[/tex]
[tex]0\geq 20[/tex]
These are false equation .Therefore, the shaded region above the line.
Substitute x=5 in equation (3)
[tex]5+y=40[/tex]
[tex]y=40-5=35[/tex]
Substitute y=20 in equation (3)
[tex]x+20=40[/tex]
[tex]x=40-20=20[/tex]
Intersection point of equation (1) and (3) is (5,35) and intersect point of equation (2) and (3) is (20,20).
Now,
a.(10,23)
Substitute in
[tex]2(x+y)\leq 80[/tex]
[tex]2(10+23)\leq 80[/tex]
[tex]66\geq 80[/tex]
10>5 and 23>20
it satisfied all inequality.
Hence, it is a solution.
b.(7,30)
7>5
30>20
[tex]2(7+30)=74<80[/tex]
it satisfied all inequality.
Hence, it is a solution.
c.(18,25)
18>5
25>20
[tex]2(18+25)=86>80[/tex]
It does not satisfied third inequality
Hence, it is not a solution.
d.(8,35)
8>5
35>20
[tex]2(8+35)=86>80[/tex]
It does not satisfied third inequality
Hence, it is not a solution.
e.(20,20)
[tex]2(20+20)=80[/tex]
20>5
20=20
it satisfied all inequality.
Hence, it is a solution.
10 divided by 320 plus 18 subtract by 13
Find the degree of the monomial.
5b^7c^6
Answer: 13
Explanation: To find the degree of a monomial, we need to take
the sum of the exponents of all the variables in the monomial.
So the degree of this monomial is 7 + 6 or 13.
So the degree of this monomial is 13.
I need help on this if anyone don’t mind
9514 1404 393
Answer:
416Step-by-step explanation:
For this to have infinitely many solutions, the left side and right side must simplify to the same expression. The left side is already simplified, so we need to find the right numbers for the right side.
Coefficient of x:
7x = __x + 3x
4x = __x . . . . . . subtract 3x; next divide by x
4 = __ . . . . . the required x-coefficient is 4
Constant term:
-8 = 8 -__
-16 = -__ . . . . . subtract 8
16 = __ . . . . . . multiply by -1
__
The numbers that go in the boxes are 4 and 16.
HELPPPPP GIVING BRAINLIEST
Which event typically causes upwelling?
Wind blows warm water away from the shore.
Warm water rises to the surface of the ocean.
Neap tides move cold water away from the shore.
Cold water falls to the bottom of the ocean and pushes warm water up.
it's wind blows warm water away from the shore.
Step-by-step explanation:
it is one hundred percent correct
Answer:
A
Step-by-step explanation:
Wind blows warm water away from the shore.
a(-6)=-42
solve for a
Answer:
7
Step-by-step explanation:
Answer:
A = 7
Step-by-step explanation:
You would take -42/-6 because that will tell you what x -6=-42
-42/-6 = 7
Also. you have to remember that a negative divided or multiplied by a negative = a positive
Please help this is due soon!!
Answer:
The cosine of A is equal to [tex]\frac{3\sqrt{58}}{58}\\[/tex]
Step-by-step explanation:
Cosine is is calculated as adjacent over hypotenuse. The line adjacent to A is 3 in length.
So we can say that the cosine is equal to 3/√58, but need to multiply it by √58 / √58 to ensure we have a non-radical denominator
[tex]A = \frac{3}{\sqrt{58}}\\A = \frac{3\sqrt{58}}{58}\\[/tex]
please help me
The measure of an exterior angle of a triangle is 40°. What is the sum of the measures of the corresponding remote interior angles?
Answer:
40 degrees
Step-by-step explanation:
Because there are 180 interior angles in a triangle, you need one of the sides. If an angle's exterior is 40 degrees, we know that the interior angle is 140 degrees. This means that the sum of the other interior angles have to be 40 as 180-140 is 40.
If an angle's exterior is 40 degrees, we know that the interior angle is 140 degrees. This means that the sum of the other interior angles have to be 40 as 180-140 is 40°.
What are Triangle theories?A triangle is the smallest polygon with three sides and three interior angles.Theorem 1: The Sum of Angles property of a triangle states that the sum of the interior angles of a triangle is 180°.Theorem 2: If you lengthen one side of a triangle, the resulting exterior angle is the sum of the two opposite interior angles of the triangle.A exterior angle equals the sum of his two other angles in the triangle, so the sum of the angles in the triangle is 180 degrees. In other words, the other two angles of the triangle (which together make up the exterior angle) must be combined with the third angle to make a 180 degree angle.40 degrees is the sum of the measures of the corresponding remote interior angles.
Because there are 180 interior angles in a triangle, you need one of the sides. If an angle's exterior is 40 degrees, we know that the interior angle is 140 degrees. This means that the sum of the other interior angles have to be 40 as 180-140 is 40°.
To learn more about triangle theory, refer
brainly.com/question/25055291
#SPJ2
The area ofa rhombus is 240 cm and one of the diagonals is 16 cm. Find
diagonal
Cameras R Us has a sale for 25% off camera bags, which is a discount of $20. To find the original cost of the camera bag, Tara creates the following diagram.
A 2-column table with 6 rows. Column 1 has entries 20 percent, 20 percent, 20 percent, 20 percent, 20 percent, Total 100 percent. Column 2 has entries 25 dollars, 25 dollars, 25 dollars, 25 dollars, 25 dollars, blank total.
What errors did Tara make in her diagram? Check all that apply.
There should be 5 rows labeled 20%.
The 25 should be for each percent, not dollar amounts.
The percents do not add up to a whole of 100%.
There should be 4 columns of 25% that each equal $20.
Answer:Its B. and D.
Step-by-step explanation:
Answer:
heyyyyyyyyyyyyyyy
Step-by-step explanation:
Find the slope for the points (5,7) and (8,4)
Answer:
-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-7)/(8-5)
m=-3/3
m=-1
Answer:
m = -1
Step-by-step explanation:
m represents the slope.
PLEASE HELP!!!
What are the domain and range of the function?
Match the domain and range with the corresponding set of points.
Answer:
Domain is all the x values while range is all the y values. Im not sure if you're supposed to tell you how to do it or do it for you so... good luck
Step-by-step explanation:
Answer:
domain: [-1, infinity)
range: ( - infinity, 1]
Step-by-step explanation:
the domain is the set of x values in a function and range is the y values.
What number could be a value of y which makes the following inequality true? Inequality: 4y > 24
6
7
4
2
Answer:
7
Step-by-step explanation:
7x4=28
6x4=24
So it cant be 6 or anything less
jim has 5 pair s of pants, 3 shirts, and 2 hats, how many different ways can he dress?
Answer:
3?
Step-by-step explanation:
Find X Give your answer in simplest form
Given:
A figure of a right angle triangle.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\tan \theta = \dfrac{Opposite}{Adjacent}[/tex]
In the given triangle,
[tex]\tan (30^\circ) = \dfrac{x}{7}[/tex]
[tex]\dfrac{1}{\sqrt{3}}=\dfrac{x}{7}[/tex]
On multiplying both sides by 7, we get
[tex]\dfrac{7}{\sqrt{3}}=x[/tex]
Therefore, the value of x is [tex]x=\dfrac{7}{\sqrt{3}}[/tex].