Janice heard the final school bell, and 39 seconds later she was running at 2.4 meters per second toward her dad’s car. At this velocity, how long did it take Janice to run 180 meters?

each minute pass by, the second hand rotate 360 degrees while minute hand rotate 6 degrees= 1/60 angle rotation of second hand. Let assume that the starting time is 12:00 hour, zero minute and zero second exactly .

by this simple method you can figure out your answer that what actually it is.

GOOD LUCK !

The total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

[tex]I=\dfrac{Prt}{100}[/tex]

Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).

Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. The amount save in a year (12 months) is,

[tex]P=83.42\times12\\P=1001.04[/tex]

The interest earned on this principal amount with earning 1.8% simple interest, after 3 years is,

[tex]I=\dfrac{1001.04\times1.83}{100}\\I=54.06[/tex]

The total total amount in his bank account after 3 years is,

[tex]A=P+I\\A=1001.04+54.06\\A=1055.10[/tex]

Hence, the total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

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Answer:

b.

$1,055.10

Step-by-step explanation:

right on edg 22

Use the Distributive Property, which states the following:-

[tex]\sf{a(b+c)=ab+ac}[/tex]

Where

we distribute a by multiplying it times b and c

a, b, and c can be either constants (numbers) or variables (letters)

Distribute:-

[tex]\sf{\displaystyle\frac{1}{4}(x+24)}}[/tex]

Multiply the term before the parentheses by the terms inside the parentheses:-

[tex]\sf{\displaystyle\frac{1}{4} x+6}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answers:

10. b. [tex]\displaystyle 13[/tex]

9. b. [tex]\displaystyle 20[/tex]

8. a. [tex]\displaystyle 33[/tex]

7. a. [tex]\displaystyle 25°[/tex]

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

[tex]\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x[/tex]

Plug this back into the equation to get [tex]\displaystyle 13[/tex]on both sides.

9. All edges in a square obtain congruent right angles and edges, so set [tex]\displaystyle 45[/tex]equivalent to the given expression:

[tex]\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}[/tex]

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

[tex]\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}[/tex]

7. In this rectangle, segment EO is a segment bisectour, making these angles Complementary Angles. Therefore, set an equation up to find its complement:

[tex]\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}[/tex]

I am joyous to assist you at any time.

Answer:

99750000 people

Step-by-step explanation:

1,750,000*57=99750000

Using the depreciation formula:

start value x percent of value^time

850 x 0.75^3 = $358.59

answer: $358.59

Answer: $358.59

Step-by-step explanation:

[tex]$$After one year the laptop computer's price is:$$\begin{aligned}&=\$ 850-\$ 850 \times 25 \% \\&=\$ 850-\$ 212.5 \\&=\$ 637.5\end{aligned}$$[/tex]

[tex]$$ Again two year the computer's price is:$$\begin{aligned}&=637.5-25 \% \text { of } 637.5 \\&=637.5-159.375 \\&=\$ 478.125\end{aligned}$$[/tex]

[tex]\bold{\text { So a fair price for the computer is } \$ 358.59}[/tex]

[tex]\begin{aligned}\\\bold{Or}\text { Simply Calculate as } &=(\text { Purchase price }) \times(1-25 \%)^\text{time} \\&=850 \times(1-0.25)^{3} \\&=850 \times(0.75)^{3} \\\bold{&=\$358.59}\end{aligned}[/tex]

Using the velocity formula, it is found that the acceleration is of a = 9.8 m/s².

It is given by the initial velocity plus acceleration multiplied by time, that is:

v(t) = v0 + at.

In this problem, we have that v(0) = 0, t = 2, v(2) = 19.6, hence:

v(t) = v0 + at.

19.6 = 0 + 2a.

2a = 19.6.

a = 19.6/2.

a = 9.8 m/s².

The acceleration is of a = 9.8 m/s².

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Answer:

60 miles

Step-by-step explanation:

[tex]\frac{1}{8}*\frac{7.5}{7.5}=\frac{7.5}{60}[/tex]

Remember these are ratios!

Hence, they are 60 miles apart

The expression that represents the perimeter of the given triangle in centimeters is;  14n + 10p + 14q

We are given the  side lengths of the triangle as;

5n + p; 9n + 8q; 6q + 9p

Now, the formula for perimeter of a triangle is;

Perimeter = a + b + c

where a, b and c are side lengths of the triangle. Thus;

Perimeter = 5n + p + 9n + 8q + 6q + 9p

Perimeter = 14n + 10p + 14q

In conclusion, we can sa that the perimeter of the given triangle is 14n + 10p + 14q.

Read more about Triangle Perimeter at; https://brainly.com/question/24382052

Answer: A) 7.1 square feet

Step-by-step explanation:

area of a circle= πr^2

given,

d=3 feet=3/2=1.5 feet

hence,

area of a circle= πr^2

= 3.14×(1.5)^2

= 7.065

=7.1 square feet.

Answer:

cos A = 5/13

Step-by-step explanation:

sec A = 1/cos A

sec A = 1/cos A 13/5 = 1/cos A

cos A = 5/13

Answer:

Has two unkown variables

Step-by-step explanation:

When there is only one equation provided with two unknown variables, it is difficult to solve for the unknown variables

The most simplified version of this equation would be VX = -14

More information would be needed to solve

Answer:

Diameter : 14 cm

14÷2=7

Radius : 7

Step-by-step explanation:

Diameter is two time the Radius

Answer:

$180 + $72 = $252

Step-by-step explanation:

$180 * 40%

$180 * 0.40 = $72

$180 + $72 = $252

Answer:

D) blue

Step-by-step explanation:

because the first ball has to be blue

the second ball is green

the third is red

and the fourth one is yellow

so u multiply 1(blue ball)× 2021=blue ball

Answer:

Area of a triangle = (base x height) / 2

if the base is 3 and height is 4

Area = (3x4)/2 = 6 sq units

if the base is 4 and height is 8

Area = (4x8)/2 = 16 sq units

if base is 3 and height is 8

Area = (3x8)/2 = 12 sq units

Answer:

1, 3, and 4 are CORRECT

2 is wrong.

Step-by-step explanation:

In #2

-9(x + 4) Multiply by using distributive property. The -9 must be multiplied to both the terms in the parenthesis.

so you should get:

-9x - 36

Step-by-step explanation:

17) no problem were noticed, just:

reflecting across Y-axis changes the coordinate 'x', no changes for coordinate 'y';

reflecting across X-axis changes the coordinate y, no changes for coordinate 'x'.

For more info see the attached picture.

Answer:

id.k maybe because people are busy ,

i think the same as you.

Step-by-step explanation:

2 1/2 pounds = 2.5 pounds

A pound of apples cost $1.30 -> 2.5 pounds of apples cost 1.3 x 2.5 = 3.25

-> Answer : B

Answer:

231.1 gm

Step-by-step explanation:

1040 J / .9 j/(gm-C)   / 5C = 231.1 gm

The mass of the metal is 231.111 gram.

The specific heat capacity of a substance is the heat capacity of a sample of the substance divided by its mass, also known as massic heat capacity.

The formula for heat is given by the formula,

Q = mC(ΔT)

Given the metal has a specific heat of 0.900 J/g °C requires 1,040 J of heat to raise the temperature (the change in temperature) by 5 °C. Therefore, we can write,

Q = mC(ΔT)

1,040 = m × 0.900 × 5

m = 1040/(0.900×5)

m = 231.111 g

Hence, the mass of the metal is 231.111 gram.

Learn more about Specific Heat:

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Answer:

Weeks = 52

Days = 365

Hours = 8,760

Minutes = 525,600

Seconds = 3.1536 × 10^7

Step-by-step explanation:

Answer:

1 Year =

31540000 seconds.

525600 minutes.

8760 hours.

365 days.

52.1429 weeks.

12 months.

Step-by-step explanation:

Hey there!

You can do this by calculating all the numbers since you already know that there are 24 hours in a day, 12 months in a year and 365 days in a year

The linear function that represents the amount of money in dollars Anton would have saved is given by:

C y = 15x + 300

A linear function is modeled by:

y = mx + b

In which:

Taking the amounts from 10 and 20 hours, it is found that in 10 hours he saves $150, hence the slope is given by:

m = 150/10 = 15.

Considering that after working 10 hours, the amount he had saved was $450, and he saves $150 in 10 hours, his initial amount was given by:

b = 450 - 150 = 300.

Thus, the equation is given by:

y = 15x + 300.

Which means that option C is correct.

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

2.083 g/[tex]cm^{3}[/tex]

Step-by-step explanation:

Density is mass / volume

volume = length * width * height

(In this case since iron is usually in a block unless stated otherwise)

100g / (2*4*6)cm^3 = density

100g / [tex]48 cm^{3}[/tex] = 2.083 g/[tex]cm^{3}[/tex]

Answer:

-5x/2 - 30

Step-by-step explanation:

Oop I placed it in the wrong spot

Place the give into the formula

f(g(x)) = f(x/2+4)

Plug it in

-5(x/2+4)+2

Simplfy

-5x/2-20-10

Answer:

-5x/2 - 30

(3+√3) x (2+√2)

6 + 3√2 + 2√3 + √3√2

6 + 3√2 + 2√3 + √6

Answer:

6 + 2√3 + 3√2 + √6

Step-by-step explanation:

The equation :

(3 + √3)(2 + √2)

Using Distributive Property,

Answer:

try using a protractor

Step-by-step explanation:

when you use a protractor it can be easier and collect all like terms together