9514 1404 393
Answer:
parallel: 5perpendicular: -1/5Step-by-step explanation:
The equation of the given line is written in "slope-intercept form":
y = mx + b . . . . . . where m is the slope
Matching this form to the equation you have, you see that ...
m = 5 . . . the slope of your given line.
__
A parallel line will have the same slope: 5.
__
A perpendicular line will have a slope that is the opposite reciprocal of this. The reciprocal of 5 is 1/5. The opposite of that is -1/5.
A perpendicular line will have a slope of -1/5.
Please look at the picture i need help please
Answer:
176.7 in²
Step-by-step explanation:
The formula for the area of a circle is πr².
But first, you have to find the radius. The radius is half of the diameter, which is the length from one edge of the circle to the other.
Here the diameter is 15 in. Divide the diameter by 2 to get the radius.
r = 15 ÷ 2 = 7.5 in
Now plug the radius into the formula and solve for the area.
A = πr²
A = π(7.5)²
A = π(56.25)
A = 176.7145868 ⇒ 176.7 in²
Hope that helps.
Five times a number decreased by six is 29
Answer:
Let x be the number
"five times a number"
5x
"six less than five times a number"
5x-6
"is at least 29" >29 (greater than or equal too)
5x - 6 > 29
5x > 35 (add +6 to both sides retains the dense if the inequality)
x>7 (divide both sides by +7 retains the sense of Inequailty)
Check:
Is 5(7) - 6 > 29?
35 - 6 > 29 ?
29 > 29? yes, they are equal.
Try 50:
Is 5(50) - 6 > 29 ?
250 - 6 > 29?
244 > 29 ? yes
Answer:
5x - 6 = 29
Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make? Check all that apply. He used an incorrect time ratio converting hours to minutes. His units do not cancel. He used an incorrect distance ratio converting miles to feet. He incorrectly concluded that she is not running fast enough. He cannot determine her average rate in miles per hour after only 15 minutes.
Answer:
a. He used an incorrect time ratio converting hours to minutes.
d. He incorrectly concluded that she is not running fast enough.
Step-by-step explanation:
Looking at the Coach's method of conversion when converting time, he assumed that an hour had 15 minutes instead of 60 minutes. He therefore did not use the correct time ratio to convert hours to minutes.
The coach's calculations yielded an answer of 34 ft/s. This is way faster than 8.8 ft/ s so his deduction that she was not running fast enough to beat her fastest time is incorrect because at that inhumane speed, she did.
Answer: A.)He used an incorrect time ratio converting hours to minutes.
D.)He incorrectly concluded that she is not running fast enough.
Step-by-step explanation: i hope this helps :)
The function f(x) = ( )* is translated up 4 units. Which equation represents the translated function?
g() = (5)***
g(x) = ()
g() = ()' +4
g(x) = (13) -4
Answer:
c
Step-by-step explanation:
There are 40 animals in Mang Roman's farm.The ratio of cows to carabaos to goats to horses is 4:2:3:1. How many animals of each kind are there in Mang Roman's farm.
Answer:
there are
16, 8, 12 and 4 different animals
Step-by-step explanation:
Step-by-step explanation:
Step one:
given data
Number of Animals = 40
The given ratio is = 4:2:3:1
The total ratio is = 4+2+3+1= 810
Step two;
Applying the part to all method
The first animal
4/10=x/40
cross multiply
10x= 40*4
divide both sides by 10
x= 160/10
x= 16
for second we have
2/10=x/40
cross multiply
10x= 40*2
divide both sides by 10
x= 80/10
x= 8
for the third we have
3/10=x/40
cross multiply
10x= 40*3
divide both sides by 10
x= 120/10
x= 12
for the fourth we have
1/10=x/40
cross multiply
10x= 40*1
divide both sides by 10
x= 40/10
x= 4
Solve for X:
5x+3x=2(4x-5)-2
Answer: I got -1, I honest don’t know if i was doing it right so here is my explanation
Step-by-step explanation:
I distributed 2(4x-5)
5x+3x=20x-10-2
Sub 3x for 20x
5x=17x-10-2
Sub -10-2
5x=17x-12
Sub 5x-17x
12x=-12
Divide
Equals -1
Sry it took me a bite
Write an explicit formula for an, the nth term of the sequence 15, 12,9,....
Answer:
18-3n
Step-by-step explanation:
18-3(1)=15
18-3(2)=12
etc
etc
i need help with this can you show me some work so i can do it by my self after
Answer:
Step-by-step explanation:
1) √36 = 6
2) ^3 √8 = 2
3) ^3 √64 = 4
Could someone good at geometry help me please. I will mark brainliest!! :)
helppppppppppppp 20 points
Answer:
4 3/7
Step-by-step explanation:
Divide 31 by 7 to the closest whole number. 28/7 is 4 and you have 3/7 left, so you get 4 3/7
please help me i need to turn in assignment!!!!! i will mark the answer brainliest. plz be descriptive!!!
Answer: D. 150
Step-by-step explanation:
Given equation: [tex]3(3x-10)=5(x+10)[/tex] , it shows the relationship between the perimeter of an equilateral triangle and the perimeter of an equilateral triangle.
Consider [tex]3(3x-10)=5(x+10)[/tex]
[tex]\Rightarrow\ 9x-30=5x+50\\\\\Rightarrow\ 9x-5x= 50+30\\\\\Rightarrow\ 4x= 80\\\\\Rightarrow\ x=\dfrac{80}{4}\\\\\Rightarrow\ x= 20[/tex]
Now, perimeter of pentagon = 5(x+10) = 5 (20+10)
= 5(30) = 150
Hence, option D is correct.
mary has 200ml of hand sanitizer that is 15% alcohol she mixes it with 200ml of a hand sanitizer that is x% alcohol how many ml is in the first hand sanitizer?
Answer:
30ml
Step-by-step explanation:
200ml * 15%
200ml * 0.15
= 30
There are 30 ml in the 1st hand sanitizer
Answer:
30 m l
Step-by-step explanation:
15%=0.15
200 divided by 0.15 is 30.
So therefore,
the answer is 30 ml.
Can somebody please help me with these pleaseeeee!
The population of a town increases by 3.7% per year. If this year's population is 20,600, what will next year's population be, to the nearest individual?
Answer: 21,362 people
Step-by-step explanation:
The current population is 20,600 people and this population is to increase by 3.7% per year.
The population of the town in one year can be calculated by:
= Population * (1 + growth rate)^no. of years
= 20,600 * ( 1 + 3.7%)¹
= 21,362.2
= 21,362 people
For the equation 2x + 7 =30, x = 3
O True
O False
Answer: False
=============================================================
Explanation:
To see if the x value is a solution or not, we plug it into the equation given
2x+7 = 30 .... original equation
2*3 + 7 = 30 .... replace every x with 3, since we claim that x = 3
6 + 7 = 30 .... multiply 2 and 3 to get 6
13 = 30 ...... add 6 and 7 to get 13
We get two different numbers on either side, so the last equation is not true. We get a contradiction or false statement. So the original equation is false when x = 3. Therefore, x = 3 is not the solution.
That's why the overall claim is false.
I need help please
4d + 8
Answer:
4 ( + 2 )
Step-by-step explanation:
Answer:
i am going to assume 4d+8=0 so 4d=-8 and d=-2
Step-by-step explanation:
i dont really understand this :(
What is the image point of (-7,7) after a translation right 1 unit and down 3 units?
Answer:
(-6, 4)
Step-by-step explanation
translation rule: (x+1,y-3)
(-7+1, 7-3)
(-6, 4)
which linear inequality is represented by the graph? O y<2/3x+3 (A)
O y>3/2x+3 (B)
O y>2/3x+3 (C)
O y<3/2x+3 (D)
Answer:
C y>2/3x+3
Step-by-step explanation:
Use y=mx+b format. The B is the y-intercept. From the y-intercept (3), go up two then to the right 3. That gives you the slope, or mx which is 2/3. The area shaded is above so it would be the greater than symbol.
How do I solve this using long division?
Answer:
x + 5
Explanation:
x^2 + 3x − 10 /x−2
= x^2 + 3x − 10 /x − 2
= (x−2)(x+5) /x−2
= x + 5
Find the percent of decrease
From 64 photos to 21 photos
Answer:
67.2
Step-by-step explanation:
64 - 21 = 43
43/64 × 100 = 67.188
Use your choice of equal values, substitution, or elimination to solve the
following System of Equations, and show your work.
i are running a concession stand at a basketball game. You are selling hot
dogs and sodas. Each hot dog costs $3.00 and each soda costs $2.00. At the
end of the night you made a total of $213.00. You sold a total of 87 hot dogs
and sodas combined. You must report the number of hot dogs sold and the
number of sodas sold. How many hot dogs were sold and how many sodas
were sold?
Answer:
For this scenario, I used the elimination method. Organize the equations, so it's easier to subtract from each other. My x-variable will represent the number of hot dogs and my y-variable will represent the number of sodas.
3x+2y=213
x + y =87
We need to make sure one of the monomials are alike in each equation, so we can eliminate a variable. Distribute 3 to each number/variable in the second equation.
3x+2y=213
3(x+y=87) --> 3x+3y=261
Now we can eliminate x.
3x+2y=213
- 3x+3y=261
----------------------
-y=-48
Divide -1 to both sides to get y=48. So, you sold 48 cans of soda. Now, we can find the number of hot dogs by substituting 48 into the second equation to get x+48=87. Subtract 48 to both sides to result with x=39. So, you sold 39 hot dogs.
The ratio of kids to adults at a school festival is 11 : 7. Suppose there are a total of 810 kids and adults at the festival. How many adults are at the festival?
Answer:
315
Step-by-step explanation:
So with the ratio, you can tell that 11/18 of the people at the festival are kids, and 7/18 are adults.
Since you want to find the number of adults, just multiply.
7/18 x 810
You can cross multiply to get rid of 18 and 810 will simplify into 45. So then you are left with multiplying
7 x 45
=315
So, 315 is your answer
Answer: 315 Adults.
Step-by-step explanation:
Let the number of adults is x.
Then the number of kids is (810-x).
The ratio of kids to adults is
810 - x/x = 11/7
It is your basic equation, which you get from the condition.
To solve it, cross multiply; then simplify
7*(810-x) = 11x
7*810 - 7x = 11x
7*810 = 11x + 7x
7*810 = 18x
x = 7 x 810/18 = 315.
Write a division number story with an answer of 3/5
Answer:
Tom had 5 friends with him at the beach.
John came by with out his shirt on, showing his muscles.
2 of Tom's friends left with John
What fraction of Tom's friends were left with Tom?
Step-by-step explanation:
Expression: Jacob shared 3 pizzas with four of the friends. And each of them get 3/5 pizzas.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Expression is 3/5.
To write a division number story with an answer of 3/5:
Jacob and his 4 friends went to pizza house.
That means, the total number of people = 5.
Jacob bought 3 pizzas and share with his friends.
So, each of them get 3/5 pizzas.
Therefore, required expression is, Jacob shared 3 pizzas with his 4 friends.
To learn more about the division;
brainly.com/question/13263114
#SPJ2
Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t tt, in years, since Bozena started studying the population, and the number of tigers, N ( t ) N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function: N(t)=537⋅(0.35)t2 Complete the following sentence about the rate of change in the tiger population. The population of tigers loses 65 % 65%65, percent of its size every years.
Answer:
every 2 years
Step-by-step explanation:
since it is t/2 for the exponent - thas the answer on khan
The rate of change in the population of the Siberian tigers loses 65% every two years.
What is an exponent?Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t, in years, since Bozena started studying the population, and the number of tigers, N(t), is modeled by the following function:
[tex]\rm N(t)=537\times (0.35)^{t/2}[/tex]
Then it is clear that the population of the Siberian tigers loses 65% of its size every two years.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ2
y = –2x2 + 8x - 3
help :c
Answer:
8x-7
Step-by-step explanation:
-4+8x-3
8x-4-3
8x-7
Is Figure B a scaled copy of Figure A? Explain how you know.
Answer:
yes
Step-by-step explanation:
Help please due now!
Answer:
90
Step-by-step explanation:
x•y-z²
x=9,y=14,z=6
9 • 14 - 6²
126-36=90
Skyla wants to buy a massage table to start her spa business. She sees one she wants for $1,200. If she can save $13 a week, how many weeks will it take her to save up for the massage table?
Answer:
27 because you have to multipli and then divide
Answer:
about 93 weeks
Step-by-step explanation:
divide 1200 by 13 to get your answer which is 92.3076923077 so then you just instead of rounding to 92 you would round to 93 because it would take her more then 92 weeks so the answer would be about 93 weeks
PLS HELPPPPP THANK UUU
y = -x + 2
y = 3x - 4
a. x = 1/2, y = 3/2
b. x = 5/2, y = 1/2
c. x = 3/2, y = 1/2
d. x = 1/2, y = 5/2
+ graph
C. x=3/2 y=1/2
Hope this helps!