Answer:
1 1/9 miles
Step-by-step explanation:
If john swims 5/12 of a mile in 3/8 of an hour, then;
5/12 miles = 3/8 hours
TO get the number of miles he swims in an hour, we will say;
x miles = 1 hour
Equating both expressions
5/12 miles = 3/8 hours
x miles = 1 hour
Cross multiply
3/8 x = 5/12
3x/8 = 5/12
3x * 12 = 5 * 8
36x = 40
x = 40/36
x = 10/9
x = 1 1/9
The amount he swims in an hour is 1 1/9 miles
When surveyed 5 out of 32 students said they ride their bikes to school. Predict how many students in a school of 800 ride their bikes to school.
And please show your work!
Answer:
probably about 60 students ride their bikes to school.
Step-by-step explanation:
divide it and estimate. dont hate me if im wrong.
Consider this system of equations and the partial solution below.
6 x + 2 y = 6.
7 x + 3 y = 9.
Multiply the first equation by –3.
Multiply the second equation by 2.
Add the resulting system of equations.
Which terms will cancel when you add the resulting system of equations?
The first equation will turn into -18x -6y = -18, and the second equation will turn into 14x + 6y = 18. The y terms will cancel out when you add the equations together.
Answer:
A
Step-by-step explanation:
_____ compare one quantity to 100.
A. Factors
B. Variables
C. Percents
D. Interest rates
Answer:
c
Step-by-step explanation:
A plane can travel 5000 kilometers
in 6 hours. How far can it travel in
1.5 hours?
Answer:
1250 Kilometers.
Step-by-step explanation:
Start by finding the proper ratio of 5000:6. Now divide 6/1.5 to see what we need to divide 5000 by. 6/1.5 is 4. So divide 5000 by 4. This gives you an answer of 1250 kilometers.
Answer:
[tex]1250km[/tex]
Step-by-step explanation:
To find how far the plane can travel in [tex]1.5[/tex] hours, we need to first find the speed of the plane.
It is given that the plane can travel [tex]5000[/tex] kilometers in 6 hours, so the following equation can be written:
[tex]s = 5000km/6hours[/tex] ([tex]s[/tex] refers to the speed of the plane)
[tex]= 833\frac{1}{3}km/hour[/tex]
To find how far the plane travels in [tex]1.5[/tex] hours, we can multiply the distance it travels in 1 hour to [tex]1.5[/tex] hours:
Distance travelled [tex]= 833\frac{1}{3}\times 1.5[/tex]
[tex]=1250km[/tex]
Hope this helps :)
Use the diagram of the volcanic island for problems 16-17
16.Use a negative integer to represent the depth, in feet, of the sea floor.
17.The weight of the volcano depresses the sea floor another 24,300 feet down. What is the total height of the volcano?
please help!!
Answer:
28,000 Ft
Step-by-step explanation:
Answer: 16 is -15700 and 17 28,000
Step-by-step explanation:
LINEAR EQUATIONS!
7(6-y)=-3(y-2)
Answer:
y=9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that dont contain the variables
move variable to left side and change its sign
42-7y+3y=6 collect like terms
-7y +3y=6-42
-4y=6-42
-4y=-36 divide both sides of the equation by -4
y=9
hope that helps :)
Jasmine and Scott want to chart their reading rates to see how much they improve each quarter. Below are the results of their first quarter tests. Write their results as unit rates. Jasmine can read 120 words per minute. 2. It takes Scott one minute to read 130 words.
Answer:
a) 120 words per minute
b) 130 words per minute
Step-by-step explanation:
A unit rate (also called a single-unit rate) is a type of ratio that compares 1 unit of one quantity to a different number of units of a another different quantity. When expressing in unit rate, the second quantity is in one unit.
a) Jasmine can read 120 words per minute
Jasmine reading unit rate = total number of words read / time taken
Jasmine reading unit rate = 120 words / 1 minute = 120 words per minute
b) It takes Scott one minute to read 130 words
Scott reading unit rate = total number of words read / time taken
Scott reading unit rate = 130 words / 1 minute = 130 words per minute
help me answer this please!!! i will mark you brainliest
Answer:
363 ft.
Step-by-step explanation:
To calculate the base side which is b we use the trigonometric identity called cosine.
[tex]cos \theta=\frac{base}{hypotenuse} \\\\cos25 = \frac{b}{400}\\\\b=400*cos 25\\b=400*0.906\\b=362.5\ ft[/tex]
Since we the answer to the nearest whole number it would be b = 363 ft.
(x - 4)(2x - 1)(3x - 2) = 0
What is the product of all values of x that satisfy the equation above?
Answer:
Step-by-step explanation:
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
2
x
−
1
=
0
3
x
+
2
=
0
Set the first factor equal to
0
and solve.
Tap for more steps...
x
=
1
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
2
3
The final solution is all the values that make
(
2
x
−
1
)
(
3
x
+
2
)
=
0
true.
x
=
1
2
,
−
2
3
The result can be shown in multiple forms.
Exact Form:
x
=
1
2
,
−
2
3
Decimal Form:
x
=
0.5
,
−
0.
¯
6
The product of all values of {x} that satisfy the equation →
(x - 4)(2x - 1)(3x - 2) is 4/3.
What is algebraic expression?An algebraic expression is a combination of terms, both constants and variables. For example, we can write the algebraic expressions as -
2x + 3y + z
4x + 5
Given is the algebraic expression as -
(x - 4)(2x - 1)(3x - 2)
The given expression is -
(x - 4)(2x - 1)(3x - 2) = 0
We can write -
(x - 4) = 0 or (2x - 1) = 0 or (3x - 2) = 0
x = 4 or x = 1/2 or x = 2/3
The product of all values of {x} that satisfy the equation above is -
4 x 1/2 x 2/3
4/3
Therefore, the product of all values of {x} that satisfy the equation →
(x - 4)(2x - 1)(3x - 2) is 4/3.
To solve more questions on simplifying expressions , visit the link below
https://brainly.com/question/403991
#SPJ2
3x + 2 = 11 what is x?
Answer:
x = 3
Step-by-step explanation:
3x + 2 = 11
-2 -2
3x = 9
÷3 ÷3
x = 3
Answer:
x=3
Step-by-step explanation:
3x+2=11
3x=11-2
3x=9
x=9/3
x=3
What factor would you need to multiply(3x – 1) by to get922 - 12
ОА 3
B.
2
3x + 1
0
32 - 1
Answer:
32 - 1
Step-by-step explanation:
1
6
the fourths and sixths are
1
7
In this picture of
4
subdivided further.
What do you notice, with these new subdivisions?
Clare used 25% less butter this month than last month when baking holiday treats. If she used 240 tablespoons of butter last month, how many tablespoons did she use this month?
Answer:
180 tablespoons
Step-by-step explanation:
240×.25=60
240-60=180
Answer:
180
Step-by-step explanation:
I need help, can somebody plz help
Answer:
c
Step-by-step explanation:
Solve the following word problems using a system of equations. The sum of two numbers is 36. One number is two more than the other. Find the numbers.
Answer:
24,12
Step-by-step explanation:
suppose,
x+y=36
x=2y
2y+y=36
y=12
x=24
can someone help me please !!!!!!
Answer: From top to bottom of the chart: -13, -6, 1, 8, 15
Step-by-step explanation:
You can solve the equation by putting the numbers in the graph (under the letter x) into the equation. Meaning when it says "-2", you can write 7(-2)+1, or 7 times negative 2 minus one, which equals -13. Do the same thing with the rest :]
A theater has group prices for tickets. The first ticket will cost $10 while each additional ticket costs $8. Which rule models the situation?
a. an= 10 + 8 (n - 1)
b. an-1= 10 + 8 (n - 1)
c. an= 18 (n - 1)
d. an-1= 18 (n - 1)
Answer: Choice A.
an = 10 + 8(n - 1)
=================================================
Explanation:
a1 = 10 is the first term
The common difference is d = 8 since we add 8 to each previous price to get the next price.
We have the arithmetic sequence with nth term of
an = a1 + d*(n-1)
an = 10 + 8(n - 1)
If you wanted, you could simplify that to get
an = 10 + 8n - 8
an = 8n + 2
Find DE
13x-37
2x+13
Answer:
DE = 27
Step-by-step explanation:
From the picture attached,
Points D and E are the midpoints of the segments AC and BC and DE is the mid-segment joining these points.
By the mid-segment theorem,
A segment joining midpoints of the two sides of a triangle is parallel to the third side. length of mid-segment is half of the 3rd side in measure.
DC = [tex]\frac{1}{2}\text{AB}[/tex]
(2x + 13) = [tex]\frac{1}{2}(13x-37)[/tex]
2(2x + 13) = (13x - 37)
4x + 26 = 13x - 37
13x - 4x = 26 + 37
9x = 63
x = 7
DE = 2x + 13
= 2(7) + 13
= 14 + 13
= 27
How many buses do you need for 650 people if each bus holds 100 people?
Answer:
we would need 7
Step-by-step explanation:
because if each bus hold 100 and there is 650 we would need 7 buses
because we well have 6 fill bus and 1 half full bus
Answer:
7
Step-by-step explanation:
100/7 u would only ned the 7 and not the 100
please help
Greater than
Less than
or Equal to
» Which pair of numbers has an LCM of 60?
2 and 12
5 and 12
6 and 12
3 and 12
Answer: 5 and 12
Step-by-step explanation:
2 and 12 is not it because 12 can be divided by 2 meaning that the LCM of those two numbers will be 12.
6 and 12 is not it because 12 can also be divided by 6 meaning that the LCM of 6 and 12 is also 12.
3 and 12 is also the same, 12 can be divided by 3 so their LCM will be 12.
With 5 and 12, 12 is not divisible by 5 so you will have to find the multiples of 5 and 12 and it will eventually be 60.
Multiples of 5: 5, 10,15,20,25,30,35,40,45,50,55,60,65
Multiples of 12: 12, 24, 36, 48, 60, 72
As it appears in both multiples, 60 is the least number that appears in both multiples so the LCM of 5 and 12 is 60.
Answer:
It's 5 and 12
Step-by-step explanation:
Brainliest if correct please help
Answer:
it is F
Step-by-step explanation:
carrots and beans combined is 11 and corn is 11
question is in picture
Answer:
-6
Step-by-step explanation:
Answer:
-4 + -2 = -6
Step-by-step explanation:
So this is a rhyme that helps me remember how to add and subtract positive and negative numbers...
(To the tune of Row Row Row Your Boat)
Same sign add and keep
Different sign subtract
Keep the sign of the bigger number
Then you'll be exact
I know it sounds silly but it helped me :)
Use the given information to prove that triangle ABC is similar to DEC
Answer:
sdfghj
Step-by-step explanation:
f(x) = -x^2 + 5x – 2
Find f(-4)
Answer:
2
Step-by-step explanation:
if f(4), than -4^2=-16
5(4)=20
-16+20-2=2
I do not know what to do!! Please help me with this assignment!
Answer:
Equation of the line is y = x + 1
Standard Form: x - y = 1
Step-by-step explanation:
Ax + By = C
y = x + 1
-x + y = 1 ("A" must be positive)
x - y = -1
Find the coordinates of the image of the point (3, 4) after it has been rotated by
180 degrees
Answer:
(-3,-4)
Step-by-step explanation:
Flip the coordinate across the graph since it is 180 degrees. (x,y) becomes
(-x,-y)
In 25 minutes Jezebel can run 10 laps around the track. Part I) Determine the unit rate for the number of laps she can run per minute. Part II) Find the constant of proportionality for this situation.
Answer: See explanation
Step-by-step explanation:
a. Determine the unit rate for the number of laps she can run per minute.
This will be calculated as the number of minutes used divided by the number of laps which will be:
= 25 / 10
= 2.5 minutes per lap.
b. Find the constant of proportionality for this situation.
We will use the formula y = kx
where y = 25, x = 10, k = constant of proportionality.
Therefore, y = kx
25 = 10k
k = 25/10
k = 2.5
The constant of proportionality is 2.5
Harley was eating pizza and had already eaten six pieces before his sister, Samantha, got home. Samantha was worried that she was not going to get a fair share of the pizza and wanted to know how many pieces were in the pizza originally. Harley told her, "I have only eaten 3/8 of the pizza. How many slices where in the pizza when it was whole
Answer:
16 pieces of pizza when the pizza was whole.
Step-by-step explanation:
You know that 6 pieces are equal to 3/8 of the pizza.
Let x represent the total number of pieces and write an equation:
3
-- times x = 6
8
Multiply each side of the equation by 8:
8 times 3
-- x = 8 times 6
8
3x = 48
Divide each side of the equation by 3:
3x 48
--- = ---
3 3
x = 16
1) In 2000, there were approximately 109 million cell phone users in the United States. The number of cell
phone users grew to approximately 189 million after one year.
a) Write an exponential model that represents the number of cell phone users in the United States, where t
represents the number of years after 2000.
[2]
[1]
b) What is the percent rate of change?
[1]
c) What would be the number of cell phone users in 2015?
[3]
2) Which statement applies to the graph of f(x)=e* below.
Answer:
the answer is 298
Step-by-step explanation:
