Answer:
N is at -2 on the number line
Step-by-step explanation:
The location of point N can be found by writing the segment lengths as a proportion.
ON : NP = 4 : 8
8(ON) = 4(NP) . . . . . . . . "cross multiply"
2(N -O) = (P -N) . . . . . divide by 4, show lengths ON and NP
2(N -(-7)) = 8 -N . . . . . use given values of O and P
3N = -6 . . . . . . . . . . . add N-14 and simplify
N = -2 . . . . . . . . . . divide by 3
Point N is at -2 on the number line.
If the ratio of ON to NP is 4:8, point N lie on the -2 at the number line.
Point O is at -7.
Point P is at 8.
The ratio of ON to NP is 4:8.
The ratio 4:8 simplifies to 1:2. This means that ON is one-third of the total distance from O to P, and NP is two-thirds of the total distance.
The total distance from O to P is the sum of the distances between O and N, and between N and P.
As the ratio of ON to NP is 1:2, and the total distance is 15 (8 - (-7) = 15), we can set up the following equation:
ON/NP = 1/2
ON/(15 - ON) = 1/2
Now we can solve for ON:
2 × ON = 15 - ON
3 × ON = 15
ON = 5
So, ON is 5 units away from O.
Now O is at -7, point N is at -7 + 5 = -2 on the number line.
So, N is at -2.
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#SPJ3
Given ABCD, solve for x.
A. 11
B. 13
C. 14
D. 12
Answer:
Step-by-step explanation:
Because you have a parallelogram, the two angles shown are "same side interior angles" which means they add up to 180°.
We would say that they are supplementary (they add up to 180°)
So add them together and set them equal to 180°
(4x+18) + (8x+30) = 180°
This is all adding, so we dont really need any of these parenthesis.
4x+18+8x+30=180
Add the x terms together and add the constants (plain numbers) together.
12x + 48 = 180
Subtract 48 from both sides of the equation.
12x = 132
Divide both sides by 12
x = 11
Use the above balance sheet for the ABC Bank. Assume the reserve ratio is 20 percent. Assuming the bank (single bank) loans out all of its excess reserves, and has a check cleared against it for that amount loaned, its actual reserves and checkable deposits will now be:
3х + 5x
Pls help (sorry if this question got deleted)
Answer:
8x
Step-by-step explanation:
3x+5x=8x
3+5=8
x is the same variable.
9.
8. © MP.3 Construct Arguments Jake says
adding O to an addend does not change
a sum. Is he correct? Explain. Include an
equation in your explanation.
Jake's Argument is correct, adding zero (0) to an addend does not change a sum.
Addend is number which is added to another number.
For example:
y + 5 = 8
where;
5 is the addend number of y in the equation.Adding zero (0) to an addend does not change a sum. An example is present below;
5 + 3 = 8
add zero (0) to 3 and check if the final result will change;
5 + (3 + 0) = 5 + 3 = 8
Thus, Jake's Argument is correct, adding zero (0) to an addend does not change a sum.
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a ratio of two measurements having different units of measure IS ONE
STEP EQUATION
true
false
The statement that a ratio of two measurements having different units of measure IS ONE is false
Ratios are used to relate measurements of different quantities.
The measures of the quantities may or may not be one (1).
When the second quantity has a measure of one, then the ratio is called a unit rate.
So, the quantities may be one, but it is not a requirement that the measure of one or both quantities be one.
Hence, the statement is false
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You can walk 1/34 miles in 1/2 hour. What is your average speed?
find the following integrals. need help plssss
Answer:
1) -15/4
2) -15/2
Step-by-step explanation:
1) Let u=4t. Then the limits become u=4(0)=0 and u=4(4)=16. Also du=4 dt upon differentiating the equation.
So the integral can be written as
Integral( 1/4 f(u) , u=0 to u=16)
We are given Integral( f(u) , u=0 to u=16) is -15. So a fourth of that is our answer for the first question.
2) Let u=t^2. Then the limits become u=(0)^2=0 and u=(4)^2=16. Also upon differentiating we obtain equation du =2 t dt.
So the integral becomes
Integral( 1/2 f(u) , u=0 to u=16).
We are given Integral( f(u) , u=0 to u=16) is -15. So a half of that is our answer for the second question.
You take a test with 25 questions. Your grade on the test was a 80%. How many questions did you get right?
Answer:
20 questions
Step-by-step explanation:
1.) Use the following equation:
[tex]\frac{x}{y}[/tex] = [tex]\frac{p}{100}[/tex]
2.) For this equation,
x is the # of test question you got righty is the total # of test questionsp is the grade you got on the test3.) Substitute
[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]
4.) Solve
[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]
[tex]\frac{x}{25}[/tex] = [tex]\frac{8}{10}[/tex]
[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]
5.) Cross Multiply
[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]
5x = 100
6.) Divide
5x = 100
x = 20
Therefore, you got 20 questions right.
What number is 22.5% of 40?
Answer:
9
Step-by-step explanation:
To find this, first you must convert the percentage to a decimal. To do that, you must move the decimal point back two times.
22.5% --- 0.225
Then multiply the decimal by the number.
0.225 * 40 = 9
So, 22.5% of 40 is 9
Divide: 1/2÷1/10
SHOW WORK
Answer:
5
Step-by-step explanation:
1/2÷1/10=
1/2x10/1=
10/2=5
Answer:
the answer is 5
Step-by-step explanation:
keep change flip
1/2 x 10 =5
4/7 divided by 1 1/3 =
Answer:
i think probably 3/7 is answer
Alexandra was out at a restaurant for dinner when the bill came. She wanted to leave a tip of 13%. What number should she multiply the cost of the meal by to find the total plus tip in one step?
Answer:
x = Total meal cost
y = Total cost-plus tip
113% * x = y
2/3x + 4 = 2 Solve the equation algebraically show work to support the answer
Answer:
x = -3
Step-by-step explanation:
2/3x + 4 = 2
2/3x = 2 - 4
2/3x = -2
2x = -2 * 3
2x = -6
x = -6/2
x = -3
i need some help, please
Answer:
i think probably x = 10
Step-by-step explanation:
sin(60°) = 5√3/x
√3/2 = 5 √3/x
√3 x = 10√3
x = 10
The slope of a line passing through (3,y) and (6,-7) is -4. Solve for y.
Answer:
6 (i think :/)
Step-by-step explanation:
∫(sinxdx)/(sinx^3+cosx^3)
a is true but f(x) is wrong need help
Answer:
f(x)=-18x^2
Step-by-step explanation:
Given:
1+Integral(f(t)/t^6, t=a..x)=6x^-3
Let's get rid of integral by differentiating both sides.
Using fundamental of calculus and power rule(integration):
0+f(x)/x^6=-18x^-4
Additive Identity property applied:
f(x)/x^6=-18x^-4
Multiply both sides by x^6:
f(x)=-18x^-4×x^6
Power rule (exponents) applied"
f(x)=-18x^2
Check:
1+Integral(-18t^2/t^6, t=a..x)=6x^-3
1+Integral(-18t^-4, t=a..x)=6x^-3
1+(-18t^-3/-3, t=a..x)=6x^-3
1+(6t^-3, t=a..x)=6x^-3
That looks great since those powers are the same on both side after integration.
Plug in limits:
1+(6x^-3-6a^-3)=6x^-3
We need 1-6a^-3=0 so that the equation holds true for all x.
Subtract 1 on both sides:
-6a^-3=-1
Divide both sides by-6:
a^-3=1/6
Raise both sides to -1/3 power:
a=(1/6)^(-1/3)
Negative exponent just refers to reciprocal of our base:
a=6^(1/3)
I am an odd number. Take away one letter and I become even. What number am I?
Answer:
seven
Step-by-step explanation:
Lol thxx for the points
Pls give brainliest! Also, plz sub to kgirl633 on yt.
ITS DUE TODAY
GRADES ARE FINAL TODAY PLS HELP ILL GIVE BRAINLIEST
0.5a + 8.75 > 13.25
Answer:
The answer is 9
Explanation:
0.5a+8.75=13.25
We simplify the equation to the form, which is simple to understand
0.5a+8.75=13.25
We move all terms containing a to the left and all other terms to the right.
+ 0.5a=+13.25-8.75
We simplify left and right side of the equation.
+ 0.5a=+4.5
We divide both sides of the equation by 0.5 to get a.
a=9
(I WILL GIVE BRAINLIEST) PLEASE HELP!!
Answer:
C. I,II,III
Step-by-step explanation:
Absolute value is the distance of a number from 0 on a number line. 6 is 6 units from 0, therefore this option is correct. -6 is 5 units to the left of 0, but it is still 6 units away, therefore this option is correct. 6 is 6 units away from 0, therefore, III is correct. But 0 is 0 units away from 0, therefore this option is incorrect.
Identify the common difference of the sequence: –8, –1, 6, 13,
They are skipping -7, 5, -7.
The common difference of the sequence is 18.
What is the distance, rounded to the nearest tenth, between the points (2, 1) and (6, 6)? Enter the answer in the box.
units
Answer:
6.4 should be the correct answer
Step-by-step explanation:
if im wrong and you wanted it in a different format im sorry
Write an algebraic expression for the given scenario and define the variables.
Answer:
n($6.50) + m($5.50) + k($6.00) = p
Step-by-step explanation:
n = matinee ticket
m = drink
k = popcorn
p = total cost
Without knowing the exact amount that was bought we must put a variable to show an unknown number. All of this together makes an algebraic expression.
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Pythagorean theorem )
Answer:
x = √7km
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
You take a right triangle and find the lengths of the two sides that are vertical and horizontal. Then, using the formula a^2 + b^2 = c^2, find the length of C
(aka: Hypotenuse)
hope this helps!
Find the value for x
(x+20) (4x-5)
Answer:
I think it x=33
Step-by-step explanation:
[tex]x+20+4x-5=180\\5x+15=180\\-15 -15\\5x = 165\\/5 /5\\x = 33[/tex]
How do you find the slope of a line given any 2 points on the line
Answer:
rise over run
Step-by-step explanation:
you look at the distance between the 2 points by looking at how many points its goes up or down, and you look at how points it goes from the left to the right or vice versa. but if you don't have a graph to look at, you will want to use the slope formula. look up the slope formula and plug it in.
Answer:
Step-by-step explanation:
From the point one on the graph, you go up (rise) making loops each time you go up (shown in red) then, once you've reached the same hight of point two, you go over (run), making loops once again (shown in blue). Then, you take the rise and put it over the run, so in the image attached it would be 4/3.
What is an equation of the line parallel to the line on the graph that passes
through (4, 15)?
Weight of Bucket of Sand
Total weight (ounces)
Answer:
Step-by-step explanation:
The existing line appears to pass through (0, 20) and (10, 50)
so the line slope is m = Δy/Δx = (50 - 20) / (10 - 0) = 3
parallel lines have identical slopes
y = 3x + b
15 = 3(4) + b
b = 3
D. y = 3x + 3
[tex]\\ \rm\Rrightarrow m=\dfrac{25-20}{2}=5/2[/tex]
Slope of parallel line=5/2Equation of line in point slope form
[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]
[tex]\\ \rm\Rrightarrow y-15=5/2(x-4)[/tex]
[tex]\\ \rm\Rrightarrow 2y-30=5x-20[/tex]
[tex]\\ \rm\Rrightarrow 5x-2y+10=0[/tex]
11. m2 = 340 Find m 24 and explain how you know. (2 points)
1
X
3
Drawing not to scale.
Answer:
Angle 4 also has a measurement of 34 degrees because opposite angles of intersecting lines are congruent. In other words, angles 2 and 4 are congruent, so are angles 1 and 3.
The two legs of a triangle are 300m ang 150m, respectively. The anle opposit the 150m side is 26 degress. What is the third side?
Answer:
335.4
Step-by-step explanation:
You can use the Pythagorean Theorem (a^2 + b^2 = c^2)
300^2 + 150^2 = 112500
The square root of 112500 is 335.4
you will get a 100 points +100 if you get it right
Answer:
c = 4.2h
Step-by-step explanation:
the rate is 16.80 /4
4.20 per hour
earn = hours * rate
c = 4.20h
Answer:
[tex]c=4.20h[/tex]
Step-by-step explanation:
Given information:
Jasmine earns $25.20 for 6 hours work.Jasmine earns $16.80 for 4 hours work.Given variables:
c is the amount Jasmine earns (in dollar).h is the number of hours Jasmine works.To find Jasmine's hourly rate, divide the amount she earns by the number of hours worked:
[tex]\implies \dfrac{25.20}{6}=4.2[/tex]
[tex]\implies \dfrac{16.80}{4}=4.2[/tex]
Therefore, Jasmine earns $4.20 per hour.
The function that shows this information is:
[tex]\large\boxed{c=4.20h}[/tex]