Answer:
440 + 220 = 660
670 + 220 = 890
189 + 756 = 945
Step-by-step explanation:
Which is the greater rate, 15 miles in 12 minutes or 25 miles in 20 minutes?
A sea lion swims in still water at the speed of 15 km/h. While hunting for fish, it swims with the current for 35 km and against the same current for 25 km. The sea lion swims with the current for the same amount of time it swims against the current. What is the speed of the current?
Answer:
x = 5/2 km/h
Step-by-step explanation:
Lets x be the speed of the current
The sea lion's speed with the current: 15 + x
The sea lion's speed against the current: 15 - x
Total distance in km with the current: 35
Total distance in km against the current: 25
Time with the current: 35/(15 + x)
Time against the current: 25/(15 - x)
So we do...
35/(15 + x) - 25/(15 - x) = 0
35(15 - x)/(15 + x) - 25(15 + x)/(15 - x): Having common denominators which is (15 + x)(15 - x)
525 - 35x - 375 - 25x = 0: Mutipling the (15 + x)(15 - x)to 0 getting 0
150 - 60x = 0
30(5 - 2x) = 0
x = 5/2
The speed of the current is 2.5 km/hr
Speed and DistancesFrom the given information
Lets x be the speed of the current
The sea lion's speed with the current will be 15 + xThe sea lion's speed against the current will be 15 - xAlso, we have that;
Total distance in km with the current to be 35 while the total distance in km against the current is 25
mathematically;
Time with the current = 35/(15 + x)
Time against the current = 25/(15 - x)
Equating both expression to get the value of "x
35/(15 + x) = 25/(15 - x) = 0
35/(15 + x) - 25/(15 - x) = 0
35(15 - x)/(15 + x) - 25(15 + x)/(15 - x)
Mutiplying the (15 + x)(15 - x)to have:
150 - 60x = 0
30(5 - 2x) = 0
x = 5/2
x = 2.5
Hence the speed of the current is 2.5 km/hr
Learn more on speed and distance here: https://brainly.com/question/4931057
In the problem below, put the steps in order to solve 5(x+1)=2(x-2).
Answer:
5(x+1)=2(x-2)
5x+5=2x-4
5x-2x=-5-4
3x=-9
x=-3
Step-by-step explanation:
need to know how to solve all math problems
An exponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0 < x < 4 to the average rate for the interval 4 < x < 8 What do you think will happen to the average rate of change for intervals beyond x = 8 ? Explain.
For 0<x<4, the average rate of change will be -60
For 4<x<8 the the average rate of change will be -31
And for the sentence (on savass in order is)
Stay negative, -31, decrease but at a slower rate
In this exercise we have to use the knowledge of functions to describe the average rates of each one of them, so:
For 0<x<4 will be -60
For 4<x<8 will be -31
First, we have to remember what an average rate means, like:
It is a measure of in what way or manner much the function altered for one, approximately, over that pause. It happen derived from the slope of the direct route joining the break's endpoints in contact the function's diagram.So we can say that:
[tex]0
See more about functions at brainly.com/question/5245372
¿Cuál es el valor de la "x" en la ecuación 1/2x+3=6?
Answer:
x=1.5
Step-by-step explanation:
No hablo espanol
HELP PLEASE WILL GIVE BRAINLIST TO WRITE ANSWER
Answer:
Step-by-step explanation:
the circumference of the circle, C=2*3.14*r
C=3.14*d
C=3.14*12=37.68
A bakery sells vanilla cupcakes and mocha cupcakes. It sold 357 vanilla cupcakes in a
day. 15% of the cupcakes sold that day were mocha. How many total cupcakes did the
bakery sell that day?
Answer:400
Step-by-step explanation:
this isn't middle school it's 4th grade. what is the LCM of 9, 15?
Answer:
LCM of 9 and 15 is 45.
Step-by-step explanation:
What is the LCM of 9 and 15?
Find the prime factorization of 9.
Find the prime factorization of 15. 15 = 3 × 5.
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 3 × 3 × 5.
LCM = 45.
(hope this helps can i plz have brainlist :D hehe)
Answer:
45
Step-by-step explanation:
Simply the expression 50 - 2 (6 + 1)
Answer:
36
Step-by-step explanation:
Answer: 36
Step-by-step explanation: Good luck!!
50 - 2(6+1)
50 - 2(7)
50 - 14
36
what is one half of $121.27
Answer: 242.54
Step-by-step explanation: your welcome
Answer: 60.635
Step-by-step explanation:
Help please please please please
A popular sports drink uses sugar as a sweetener the ratio of pints of sports drink to grams of sugar is 5:16. Erika only wants to consume 4 grams of sugar from her sports drink. How many pints of the sports drink can erika drink?
Answer:
Step-by-step explanation:
p/s=5/16
x/4=5/16
x=4(5)/16
x=20/16
x=5/4
x=1.25 pints
The local grocery store sells a bag of dog food for $22. The store pays $13 for the dog food which equation can be used to find the markup on the dog food?
Answer:
2
Step-by-step explanation:
Is this theorem AA, SSS, or SAS? If so how do you know?
2 tens + 33 ones is equal to what
Answer:
53
Step-by-step explanation:
20+33= 53
Answer:
5 tens and 3 ones
Step-by-step explanation:
u have 2 tens and 33 ones just add 33 can go as 3 tens and u would have 5 tens and 3 ones that are left over
Question 1/10 points)
Which expression is equivalent to x2 - 4x – 45?
0
(x– 9) (x - 5)
Oь
(x + 9) (x + 5)
Оe
(x + 9) (x - 5)
Od
(x - 9) (x + 5)
Can somebody please help me with this
the 2nd expression is the answer
PLEASE HELP ITS QUICK AND EASY JUST CONFUSED
How much is 20% off of $90.75?
Write the equation of each circle
Center (-1,0) and containing the point (2, -4)
A.(x + 1)2 + y2 = 25
B.x2 + (y2 +1)= 25
Answer:
The equation of the circle is [tex](x + 1)^2 + y^2 = 25[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle of centre [tex](x_c,y_c)[/tex] has the following format:
[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]
In which r is the radius.
Center (-1,0)
This means that [tex]x_c = -1, y_c = 0[/tex]. So
[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]
[tex](x - (-1))^2 + (y - 0)^2 = r^2[/tex]
[tex](x + 1)^2 + y^2 = r^2[/tex]
Finding the radius:
Distance between the radius and the centre and a point of the circle. In this case, point (2,-4). Using the formula for the distance between two points:
[tex]r = \sqrt{(2-(-1))^2+(-4-0)^2} = \sqrt{3^2 + 4^2} = \sqrt{25} = 5[/tex]
So, the equation of the circle is:
[tex](x + 1)^2 + y^2 = 5^2[/tex]
[tex](x + 1)^2 + y^2 = 25[/tex]
You order 3 CDs from the internet. Each CD costs the same amount. The shipping charge is $8. The total cost, including the shipping charge, is $44. Find the cost of one CD. Write and solve a two-step equation. *
Answer:
(44-8) ÷3=
Step-by-step explanation:
2x^2=-10x+12
what are the solutions to this equation
Answer:
x = -6 and x = 1
Step-by-step explanation:
Move everything to the left side of the equation by subtracting (-10x + 12)
2x² = -10x + 12
2x² + 10x - 12 = 0
Divide each side by 2:
x² + 5x - 6
Find 2 factors of -6 that add up to 5. These factors are 6 and -1
x² + 5x - 6
(x + 6)(x - 1)
Set this equal to 0 and solve for x
(x + 6)(x - 1)
x + 6 = 0
x = -6
x - 1 = 0
x = 1
So, the solutions to the equation are x = -6 and x = 1
The solutions to the equation 2x² = -10x + 12 are x = -6 and x = 1.
To find the solutions to the quadratic equation 2x² = -10x + 12, we can rearrange the equation into standard quadratic form, which is ax² + bx + c = 0.
First, we move all the terms to one side of the equation:
2x² + 10x - 12 = 0
Next, we can solve this equation by factoring, completing the square, or using the quadratic formula. In this case, we'll use factoring.
Looking at the equation, we notice that all coefficients are even, so we can simplify the equation by dividing both sides by 2:
x² + 5x - 6 = 0
Now, we factor the quadratic expression:
(x + 6)(x - 1) = 0
By setting each factor equal to zero, we can find the solutions:
x + 6 = 0 --> x = -6
x - 1 = 0 --> x = 1
Therefore, the solutions to the equation 2x² = -10x + 12 are x = -6 and x = 1. These values make the equation true when substituted back into the original equation.
To learn more about the quadratic equation;
https://brainly.com/question/17177510
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Mikayla worked the same number of hours each day for 4 days during one week. She worked less than 20 hours total for that week. Which graph represents the number of hours per day she could have worked? (Assume the number of hours is greater than 0.
Answer:
She worked 5 hours a day
Step-by-step explanation:
20 / 4 = 5
You got no graphs btw :/
But hope I help a lil bit :]
Answer:
80 hours
Step-by-step explanation:
20 times 4
Show work
4.87 x 7.23
Answer:
Step-by-step explanation:
Here are your workings
4.87 x 7.23 simplify
Step 2
(4.87)(7.23) Add brackets(Optional)
Then you multiply the two exponents to get 35.2101
Your answer would be 35.2101
Factorise 15a + 20 answer?
Answer:
5 (3a+4)
Step-by-step explanation:
please help me please i really need help please
Answer:
The answer is n+4. Hope this helps:)
ignore this:isnsjsbjs sjsdjsnsnssnsnnsnsns
Answer:
4
Step-by-step explanation:
i dont wanna explain but the answer is 4
hii I am a Slytherin
#harry Potter fans
Answer:
ooh I am Gryffindor
I love Harry potter
Describe how to find the vertex of a parabola if you are given the equation
Answer:
The vertex of a parabola is (h,k)
Step-by-step explanation:
The vertex form of a parabola is y=a(x-h)^2+k where a is the stretch/compression factor and (h,k) is the vertex. So to find the vertex, you will need (h,k) which represents the horizontal and vertical shift of the parabola
if a number y has a positive integer factors then y and 2z integer factors. Is it true? how?
Answer:
Given:
x is a factor of y --> , for some non-zero integer ;
y is a factor of z --> , for some non-zero integer ;
So, .
Question: is z even? Note that will be even if either or is even
(1) even --> either even, so the answer is directly YES or is even (or both). But if is even and as then z must be even too (one of the multiples of z is even, so z is even too). Sufficient.
(2) even --> as then as one of the multiples of z even --> z even. Sufficient.
Answer: D.