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zhenek [66]
4 years ago
7

Which equation represents a proportional relationship?

Mathematics
1 answer:
sasho [114]4 years ago
4 0

Answer:

y = 3x

Step-by-step explanation:

A proportional relationship should be represented by an equation in this format:

y = kx

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Do Xuan nam isgoing to invest $1000 at a simple interest rate of 4% how long will it take for the investment to be worth $1040?
mote1985 [20]

\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill&\$1040\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years \end{cases} \\\\\\ 1040=1000(1+0.04t)\implies \cfrac{1040}{1000}=1+0.04t\implies \cfrac{26}{25}=1+0.04t \\\\\\ \cfrac{26}{25}-1=0.04t\implies \cfrac{~~\frac{26}{25}-1~~}{0.04}=t\implies \cfrac{~~\frac{1}{25}~~}{0.04}=t\implies 1=t

7 0
3 years ago
In addition to the information given below in the drawing, which statement is sufficient to prove triangle STW similar to triang
elena-s [515]
D

XZ : YZ = 5:8

3 * XY = 27 (9*3 = 27)

3*XZ : 3*YZ = 3*5 : 3*8

SW : TW = 15 : 24

SW = 15 and TW = 24
4 0
3 years ago
A conjecture and the flowchart proof used to prove the conjecture are shown.Drag an expression or phrase to each box to complete
Mice21 [21]

Solution: The solution is shown is below figure.

Explanation:

From the given information JKLM is a parallelogram and \underset{LN}{\rightarrow} bisects \angle KLP. So Blank 1 is filled by Given and blank 2 is filled by \underset{LN}{\rightarrow} bisects \angle KLP.

Parallelogram is a quadrilateral  whose opposite sides are equal or parallel. Since it is given that JKLM is a parallelogram, therefore the side JM is parallel to the side KL. So blank 3 filled by Definition of parallelogram.

If a line bisects an angle it is means it divides the angle in two equal parts. Since \underset{LN}{\rightarrow} bisects \angle KLP, therefore \angle 2\cong \angle 3. Hence the blank 4 is filled by Definition of bisect.

The transitive property of congruence states that if \angle 1\cong \angle 2 and \angle 2\cong \angle 3, then \angle 1\cong \angle 3. Thus, the blank 5 is filled by Transitive Property of Congruence.

5 0
4 years ago
Twice a number decreased by 8 by 12 is 2 less than half the number what is the number?
natali 33 [55]
Answer:
4
Step-by-step explanation:
with the information given, we can express the equation:

where is the unknown number?
to clear for first we multiply the equation by 2, to eliminate the fraction:

moving all terms with to the left:

and adding +16 to each side:

and finally, dividing by 3

the number is 4.
7 0
3 years ago
Which of the following trigonometric expressions is equivalent to sin(-150°)? Select all that apply.
jekas [21]
<span>cos(-120°), sin(-30°), -sin(150°) This problem requires you to understand the symmetric identities for the sin and cos functions. sin(-150°) is in the 3rd quadrant and is 30° away from the X axis. Now let's look at all the possibilities: cos(-120°) - Also in the 3rd quadrant and 30° away from the Y axis. MATCH. sin(150°) - It's in the 2nd quadrant. Will have opposite sign. Not a match. sin(-30°) - It's in the 4th quadrant. The signs will match. It's also 30° away from the X axis. MATCH. -sin(150°) - The identity sin(-a) = -sin(a) applies here. MATCH. cos(60°) - In 1st quadrant. Result will be positive. Not a match. cos(-60°) - In 4th quadrant. Result will be positive. Not a match.</span>
5 0
3 years ago
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