Roman and Ranjan each divided 3.56 by 0.72. Roman got 4.94 for his quotient. Ranjan got 0.04 for his quotient. Which student divided correctly? How do you know? P 7•3

Answer:

y = x - 1 3/4*

Step-by-step explanation:

If 1 3/4 is used, then subtracting that from the previous amount will give you the amount that Paula has currently

* My answer is only correct if you meant 1 3/4, not 134. If you meant 134, then the answer would be y = x - 134

Given:

The sequence is -8, -12, -16.

To find:

The nth and 52th term  of the given sequence.

Solution:

We have,

-8, -12, -16

It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is

[tex]r=a_2-a_1[/tex]

[tex]r=-12-(-8)[/tex]

[tex]r=-12+8[/tex]

[tex]r=-4[/tex]

The nth term of an AP is

[tex]a_n=a+(n-1)d[/tex]

Where, a is first term and d is common difference.

Putting a=-8 and d=-4, we get

[tex]a_n=-8+(n-1)(-4)[/tex]

[tex]a_n=-8-4n+4[/tex]

[tex]a_n=-4-4n[/tex]

Putting n=52, we get

[tex]a_{52}=-4-4(52)[/tex]

[tex]a_{52}=-4-208[/tex]

[tex]a_{52}=-212[/tex]

Therefore, the equation for the nth term of the given sequence is [tex]a_n=-4-4n[/tex] and the 52nd term of the sequence is -212.

[tex]\color{plum}\tt(B) \: segment \: \: MA \: ≅ \: segment \: SA[/tex]

Which means, the following are the corresponding(equal/similar) parts :

Thus, the statement (B) is false because there is no evidence to prove that segment MA ≅ segment SA.

Therefore, the correct option is - (B) segment MA ≅ segment SA

The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

A pipe leaks water at a rate of 48 fl oz every 5 min. Then the rate is given as,

Rate = 48 / 5 fl oz per minute

We know that 1 gal = 128 fl oz, then we have

Rate = (48 / 128) / (5 / 60)

Rate = (48 x 60) / (128 x 5)

Rate = 2880 / 640

Rate = 4.5 gallons per hour

The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.

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Answer:

230°

Step-by-step explanation:

Answer: 40

Step-by-step explanation:

Corresponding Angles Theorem

Answer:

Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour

Step-by-step explanation:

P.S - the exact question is -

As given

Total practice goal of Joel = [tex]4\frac{1}{2}[/tex] hours

He practiced on : Monday - [tex]1\frac{1}{2}[/tex] hours

                             Wednesday - [tex]1\frac{1}{4}[/tex] hours

                             Thursday - 1 hour

Let the remaining practice = x hours

⇒ Total practice =  [tex]4\frac{1}{2}[/tex] hours

⇒[tex]1\frac{1}{2}[/tex] + [tex]1\frac{1}{4}[/tex] + 1 + x = [tex]4\frac{1}{2}[/tex]

⇒ 1 + [tex]\frac{1}{2} + 1 + \frac{1}{4} + 1 + x = 4 + \frac{1}{2}[/tex]

⇒3 + x - 4 = [tex]\frac{1}{2} - \frac{1}{2} - \frac{1}{4}[/tex]

⇒x - 1 = [tex]-\frac{1}{4}[/tex]

⇒x = [tex]-\frac{1}{4} + 1 = \frac{-1 + 4}{4} = \frac{3}{4}[/tex]

⇒x = [tex]\frac{3}{4}[/tex] hour

∴ we get

Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour

Answer:

1678.95

Step-by-step explanation:

Answer:

10/10

Step-by-step explanation:

pretty good looking pup good snout good fur nice colors overall good pup

Step-by-step explanation:

so do you have building blocks cuz you use it and then after you do that you get the cue that has an eight on it and then you would keep on adding on and then that would be the answer

Answer:

512.

Step-by-step explanation:

8 cubed is the same as 8 to the third power.

We usually use other ways to represent certain number to the power to help make equations easier and write less so,

instead of saying: 2 to the second power; we say 2 squared.

Instead of saying 2 to the third power; we say 2 cubed.

The number 2 was used just as example, it could be any number.

so 8 cubed = 8 to the third power so,

8 cubed = [tex]8^{3}[/tex] = 8x8x8 = 512

Answer:

0.083

Step-by-step explanation:

Answer:

3 is it

Step-by-step explanation:

Answer:

$8

Step-by-step explanation:

5 increase 60% =

5 × (1 + 60%) = 5 × (1 + 0.6) = 8

Answer:

_2y6x

Step-by-step explanation:

this is the answer

I hope it will helps you

Answer:

a=542

Step-by-step explanation:

you welcome have a good day

Answer:

the answer will be a=524

Step-by-step explanation:

Answer:

-1.9, 0.32, 2/3, sqrt5, 2pi

Step-by-step explanation:

Answer:

$39

Step-by-step explanation:

19+20=39

because the $20 is additional while $19 is the original, therefore you add the two digits together to get $39

Answer:

$380.00

Step-by-step explanation:

20% of $19.00

19.00 x 20

= $380.00

Answer:

It's the third one!!

Step-by-step explanation:

grs

Answer:

x=5y-35

Step-by-step explanation:

Answer:

101

Step-by-step explanation:

the tenth term of the sequence would be 10x10 (10 squared), which equals 100. add 1 to that you get 101.

Answer:

101

Step-by-step explanation:

10 X 10 + 1 = 101

nth term = n^2 + 1

Answer:

x<-6

Step-by-step explanation:

-3x>18

Divide by -3, flip the sign since dividing by a negative.

x<-6

Answer:

x < -6

Step-by-step explanation:

Answer:

C.6 squared

Step-by-step explanation:

The value of x is 3.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

As, we know that The median (also called a midline or midsegment) is a line segment half-way between the two bases.

median = (a+ b ) / 2

So, 12.5 = (3x+1 + 15) / 2

12.5 = 3x + 16 / 2

25 = 3x + 16

3x = 9

x= 3

Hence, the value of x is 3.

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Answer:

(x+10)(x-10)

Step-by-step explanation:

Answer:1.8 hours

Step-by-step explanation:

just devide and stuff

Answer:

BC=23

Step-by-step explanation:

Use sine rule:

x/sinX=y/sinY

BC/sinA=AB/sinC

BC/sin61=9/sin20

BC=26.3142396015*sin61

BC=23.0149525338

Answer:

J (3; 9)

Step-by-step explanation:

Imagine each distance like a triangle and use Pythagorean theorem.

To illustrate I drew triangle ΔLON in the picture

Finding the distance between LN.

LO = [tex]y_{L} - y_{O}[/tex] = 5 - 1 = 4

NO = [tex]x_{N} - x_{O}[/tex] = 5 - 4 = 1

According to Pythagorean theorem

[tex]LN^{2} = LO^{2} + NO^{2}[/tex]

[tex]LN^{2}[/tex] = [tex]4^{2} + 1^{2}[/tex] = 17

LN  = [tex]\sqrt{17}[/tex] (LN > 0)

Since ΔMLN ≅ ΔKLJ, JL = LN (they are clearly equal triangles)

Mark J coordinates as (x; y)

Draw another triangle JOL, ∠JOL = 90°)

OJ is parallel with x axis and OL is parallel with y axis.  O coordinates then are (4; y)

OL  = y - 5

OJ = 4 - x

Note that ΔLON = ΔJOL, so OL is the same as LO and therefore

OL = LO = y - 5 = 4;

y = 9

OJ = NO = 4 - x = 1

x = 3

So the coordinates of J are (3; 9)

Similarly find the coordinates of K