Lesson 4 problem solving practice

Answers

Answer 1

Answer:

what is your question?

Step-by-step explanation:


Related Questions

In a hotel, Elevator 1 stops at the third floor at an elevation of 40ft. Elevator 2 stops at the parking level at an elevation of -25ft.

How far apart, in feet, are the two elevators? Show or explain your work.

PLEASEEE ANSWER!!!

Answers

Answer:

65 ft

Step-by-step explanation:

Negative and positive numbers can be expressed as how far away they are from zero.

40 is 40 units away from zero. Elevator 1 is 40 units from 0.

-25 is 25 units away from zero. Elevator 2 is 25 units from 0.

To find the distance, we'll add their distances from 0.

40 + 25 = 65

They are 65 units apart. In your problem you specify feet, so they are 50 ft apart.

If all of be the simple the side lengths of a triangle had a length of 1 what would be the simplified laws of sines be?

Answers

Answer:

sin A = sin B = sin C

Step-by-step explanation:

The sine rule is a law which relates all the three sides of a triangle with the sine of their opposite angles in the triangle. Given a triangle with a side of a and an opposite angle of A, side b with opposite angle B and side c with opposite angle C. The sine rule is given as:

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]

Given that all the side of the triangle have a length of 1, that is a = b = c = 1, hence the equation becomes:

[tex]\frac{sin(A)}{1}=\frac{sin(B)}{1}=\frac{sin(C)}{1}\\\\sin(A)=sin(B)=sin(C)[/tex]

Answer:

sin A = sin B = sin C

Step-by-step explanation:

edg

Can someone help please!

Answers

Answer:

650

Step-by-step explanation:

because it says that she earns 50 for each hour so if u multiple 50×13 u get =650

What is the quotient of 63 and 0

Answers

Answer:

0

Step-by-step explanation:

Something divided OR multiplied by 0 always ends with 0

Answer:

63/7 = 9.

I think

Hope this helps

expend log10 (x³y⁵)​

Answers

Answer:

3log(x) + 5log(y)

Step-by-step explanation:

[tex] log({x}^{3} {y}^{5} ) \\ = log( {x}^{3} ) + log( {y}^{5} ) \\ = 3 log(x) + 5 log(y) [/tex]

How long should $1,000 be invested compounded
bimonthly to produce a final balance of $2,000 at
4.15%?
A. 16.70 years
B. 16.72 years
C. 16.76 years
D. 16.73 years

Answers

Answer: B. 16.72 years

Step-by-step explanation:

If interest is compounded bi-monthly, the formula to calculate the accumulated amount (A) is given by:-

[tex]A=P(1+\dfrac{r}{24})^{24x}[/tex] , where P = principal , r= rate of interest, x= time period(years).

[1 year =12 months, total periods in 12 months if period per month is 2 = 2 x 12 =24]

Given: P= 1000, A= 2000, r= 4.15% = 0.0415

Substitute all values in formula , we get

[tex]1000\times (1+\dfrac{0.0415}{24})^{24x}=2000\\\\\Rightarrow\ (1.00172916667)^{24x}=2\\\\\text{Taking log on both sides, we get}\\\\\Rightarrow \ln(1.00172916667)^{24x}=\ln2\\\\\Rightarrow 24x\ln(1.00172916667)=\ln2\\\\\Rightarrow\ x=\dfrac{\ln 2}{24\ln(1.00172916667)}\approx16.72\ years[/tex]

Hence, option B. is correct.

A professor gives a test to a large class. The time limit for the test is 50 minutes, and the first student to finish is done in 35 minutes. The professor assumes that the random variable T for the time it takes a student to finish the test is uniformly distributed over [35, 50]. At what time T will 60% of the students be finished with the test?

Answers

Answer: at 44 minutes, 60% of the students will be finished with the test

Step-by-step explanation:

Given the data in the question;

we have a uniform  distribution between 35 and 50

so

50 - 35 = 15

now, we simply multiply 15 by 60%; 15 × 0.6 = 9

so after 9 minutes, 60% percent of the students are done

Hence, 9min + 35 min = 44 minutes

Therefore at 44 minutes, 60% of the students will be finished with the test

The time T when 60% of the students will be finished with the test is 44 minutes.

What is the percentage?

The percentage is the value per hundred.

The time limit for the test = 50minute

The first student finishes in 35 minutes

The last student finishes in 50 minutes

So the difference between time = 15 minutes

It is given that the time it takes a student to finish the test is uniformly distributed over [35, 50].

So, the time T when 60% of the students will be finished with the test

T=35 + 60% of 15 minutes

T= 35 + 60*15/100

T= 44 minutes

Therefore,  the time T when 60% of the students will be finished with the test is 44 minutes.

To get more about the percentage visit:

Evaluate the following: (½)(10) −(−12) −25

Answers

Answer:

-8

Step-by-step explanation:

1/2 times 10 is 5. and a negative times a negative is a positive, so you have a positive 12, which becomes 5+12-25, which is -8

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
What is the solution set of this inequality?

Answers

Answer:

(-3,1) U (3,8) is the right answer.

Write an equivalent expression
8x - 6x + 10y + 6 + 4y + 9 = ?x + ?y + ?​

Answers

Answer: 2x + 14y + 15

Step-by-step explanation:

8x - 6x + 10y + 6 + 4y + 9

Bring like terms together

8x - 6x  + 10y + 4y + 6 + 9

Combine like terms

2x + 14y + 15

Hope this helped!


Given the graph below, write the equation for the line in slope - intercept form.
1
2
A y = 22 + 2
B y = x + 1
C y= -2x - 2
D y= -2x +2


Answers

Answer:

A

Step-by-step explanation:

slope is -,y-intercept is 2

y=+mx+2

A

Each figure shows a triangle with one of its angle bisectors.

Answers

Answer:

x = 7

Step-by-step explanation:

XP bisects <X into two equal parts, <1 and <2. Therefore,

<1 = <2

<1 = 5x - 2

<2 = 4x + 5

Thus:

5x - 2 = 4x + 5

5x - 2 - 4x = 5 (subtraction property of equality)

x - 2 = 5

x = 5 + 2 (addition property of equality)

x = 7

What is the probability of rolling a multiple of 3 on a 6-sided die?

Answers

Answer:

33% or 1/3 ...............

1/3, 1:3, or simply about 33%

Let me know if you need help with anything else, I’ll be glad to help!

Which decimal is less than 0.47
(0.38) (0.9) (0.64) (0.5)

Answers

Answer:

0.5

Step-by-step explanation:

just divide in a calculator

Answer:

0.38

Step-by-step explanation:

Look at the tenths decimal place to compare

3 is less than 4

9 is greater than 4

6 is greater than 4

5 is greater than 4

The only one less than 4 is 3 which corresponds to the decimal 0.38

Use this table to match the molecules with their estimated masses.

Atom Mass (in grams)
hydrogen 1.67 × 10-24
oxygen 2.66 × 10-23
carbon 1.99 × 10-23
nitrogen 2.32 × 10-23

Answers

Answer:

7.31 x 10^-23

Answer: CO2 (1 atom of carbon and 2 atoms of oxygen)

3.34 x 10^-24

Answer: H2 (2 atoms of hydrogen)

2.821 x 10^-23

Answer: NH3 (1 atom of nitrogen and 3 atoms of hydrogen)

7.64 x 10^-23

Answer: NO2 (1 atom of nitrogen and 2 atoms of oxygen)

Step-by-step explanation:

hope this helps :)

The matching is as follows;

7.31 x 10^-23 = CO2  i.e. 1 atom of carbon and 2 atoms of oxygen

3.34 x 10^-24 =  H2 (2 atoms of hydrogen)

2.821 x 10^-23 = NH3 (1 atom of nitrogen and 3 atoms of hydrogen)

7.64 x 10^-23 = NO2 (1 atom of nitrogen and 2 atoms of oxygen)

Learn more: https://brainly.com/question/4804019?referrer=searchResults

What percent of 30 is 16.5

Answers

Answer:

Its 55

Step-by-step explanation:

hope this helps

Answer:

55%

Step-by-step explanation:

Hope this helps you :)

Have a great day!

To decorate her bedroom, Lisa spent $62.89 on new bedding, $48.26 on paint, and $81.99 on accessories. About how much did she spend to decorate her bedroom? (1 point)

Question 3 options:

1)

$190

2)

$210

3)

$230

4)

$300

Answers

Answer:

3 because it makes a of sense

Step-by-step explanation:

If x < 0 and y > 0, determine the sign of the real number. (a) x y positive negative (b) xy2 positive negative (c) x − y xy positive negative (d) y(y − x) positive negative

Answers

Answer:

From the question it is given that x<0 and y>0 or in other words x is negative and y is positive.

(a)x y : x is negative and y is positive

⇒negative x positive = negative

Therefore, xy is negative

(b)x[tex]y^{2}[/tex] :  x  is negative and [tex]y^{2}[/tex] is positive

⇒negative x positive = negative

Therefore, x[tex]y^{2}[/tex] is negative

(c) (x − y)xy : x  is negative and [tex]y^{2}[/tex] is positive

⇒(x − y) is negative and xy is negative {from (a)}

⇒negative x negative = positive

Therefore, (x-y)xy is negative

(d) y(y − x): x is negative and y is positive

here y - x is positive

⇒positive x positive = positive

Therefore, (y-x)y is negative

Choose the equation and the inequality needed to answer this question. Trevor tutors French for $15 and hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. At least how many hours does he need to tutor to make more than $180? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream.

Answers

Answer:

One second let me look it up for u :)

Step-by-step explanation:

Answer:

Total number of hours = 15

Let the hours spent tutoring french be x.

Therefore hours spent on scooping ice cream = (15 - x)

Amount:    Tutoring french is $15 an hour, total for x hours = 15x

For scooping ice cream  it is $10 an hour   10*(15 - x) = 150 - 10x  

To make more than $180

15x  + (150 - 10x)  > 180

15x + 150 - 10x > 180

15x - 10x > 180 - 150

5x > 30

x > 30/5

x > 6

trevor needs to tutor 6 hours to make more than 180

Step-by-step explanation:

I hope this helped :)

Which order pairs are solution to the inequality Y-3x<-8

Answers

Answer:

your answer are c and d hope it helps .

Circle A has a circumference of B centimeters.

Circle C’s diameter is 3 times as long as circle A’s diameter.


What is the circumference of circle B?

Answers

Circle B has a diameter that is 1 1/2 times as long as Circle A's diameter. What is the circumference of Circle B? Solution. 4 m. If the diameter ...

Given \qquad m \angle QPS = 107^\circm∠QPS=107 ∘ m, angle, Q, P, S, equals, 107, degrees \qquad m \angle RPS = 4x + 27^\circm∠RPS=4x+27 ∘ m, angle, R, P, S, equals, 4, x, plus, 27, degrees \qquad m \angle QPR = 9x - 115^\circm∠QPR=9x−115 ∘ m, angle, Q, P, R, equals, 9, x, minus, 115, degrees Find m\angle QPRm∠QPRm, angle, Q, P, R:

Answers

Answer:

20°

Step-by-step explanation:

4x+27°+9x-115°=107°

4x+9x + 27°-115°=107°

13x-88°=107°

add 88 on both sides

13x=195°

divide 13 on both sides

x=15

9(15°)-115°

135°-115° = 20

The answer is 20

Answer:

20

Step-by-step explanation:

Please solve the question below

Answers

Answer:

AB = 14 units

∠F = 39°

Step-by-step explanation:

Given:

ΔABC ≅ ΔDEF

So,

AB = ED (By CPCT)

So,

AB = 14 units

∠C = ∠F (By CPCT)

∠F = 39°

Use algebraic rules to show that n(n+1)+2n +2 is equivalent to (n+1)(n+2)

Answers

Answer:

This question is asking us to solve both of these equations, so let's do exactly that!

First equation:

[tex]n(n+1)+2n+2\\n^2+1n+2n+2\\n^2+3n+2[/tex]

Second Equation:

[tex](n+1)(n+2)\\n^2+2n+1n+2\\n^2+3n+2[/tex]

Both of the equations result with the same answer, therefore n(n+1)+2n+2 is equivalent to (n+1)(n+2).

Hope that helped! :)

Which statements are true? Check all that apply.

On a coordinate plane, point A is (2, 3), point B is (3, 2), point C is (negative 2, 2), point D is (negative 3, negative 3), point E is (0, 3), point F is (2, 0), and point G is (0, 0).
A is in Quadrant I.
B is on the x-axis.
C is in Quadrant I.
D is in Quadrant III.
E is on the x-axis.
F is on the x-axis.
G is on the y-axis. Please anwser quick!!!!

Answers

Given:

A(2, 3)B(3, 2)C(-2, 2)D(-3, -3)E(0, 3)F(2, 0)G(0, 0)

Let's first understand the different signs and different quadrants.

Quadrant I: (+, +)Quadrant ll: (-, +)Quadrant III: (-, -)Quadrant IIII: (+, -)

Verifying them with the given points,

A is in Quadrant I. - TRUEB is on the x-axis. - FALSEC is in Quadrant I. - FALSED is in Quadrant III. - TRUEE is on the x-axis. - FALSEF is on the x-axis. - TRUEG is on the y-axis. - FALSE

Hope it helps. :)

Answer:

A D F

Step-by-step explanation:

All credit to him

Roberto has run the first 18 miles of a race, which means he is 72% finished. How long is the race

Answers

Answer:

25 miles

Step-by-step explanation:

18 ÷ 72% =

18 ÷ (72 ÷ 100) =

(100 × 18) ÷ 72 =

1,800 ÷ 72 =

25

Sum of the radius of the base and height of a cylinder is 21 cm and the curved surface area of the cylinder is 616 sq.cm,find the total surface area of the cylinder.

Answers

Answer:

925.04cm²

Step-by-step explanation:

Curved surface area of a cylinder = 2πrh

r is the radius

h is the height

If the sum of the radius of the base and height of the cylinder is 21 cm, then;

r + h = 21

r = 21-h..... 1

Recall:

CSA =  2πrh

616 = 2πrh ....2

Substitute equation 1 into 2;

616 = 2π(21-h)h

616 = 2π(21h-h²)

616 = 42(3.14)h - 2(3.14)h²

616 = 131.88h - 6.28h²

98.09 = 21h - h²

h²-21h+98.09 = 0

h = 21±√21²-4(98.09)/2

h = 21±√441-392.36/2

h = 21±√48.64/2

h = 21±6/97/2

h = 21+6.97/2 and 21-6.97/2

h = 27.97/2 and 14.03/2

h = 13.985 and 7.015

Since r = 21-h

r = 21 - 13.985

Using r = 7.015

The total surface area = 2πrh + 2πr²

The total surface area = 616 + 2(3.14)7.015²

The total surface area = 616 + 309.04

The total surface area = 925.04

Hence the total surface area of the cylinder is 925.04cm²

What value of x makes the equation true 7+2x=4x-5

Answers

Answer:

6

Step-by-step explanation:

Fact

Answer:

x=6

Step-by-step explanation:

1.    7+2x=4x-5

2.   7+2x-2x=4x-5-2x

     7=2x-5

     12=2x

     x=12/2

     x=6

Jose has $20 and is saving $6 per week. Ana has $150 and is spending $4 per
week. When will they both have the same amount of money?

Answers

no they wont have the same amount of money ana has more than jose and he’s spending more and wont have enough for the whole week, while ana will have enough and she’s only wasting 4$....


hi help me who is genius this question what are acc that should be Cr and Dr and how will the ledger will be done also a little help will be helpfull​​

Answers

Hi was a good night
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