Work out 97.974436 + 14 give your answer to 2 decimal places

Answer: r < 389

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

Rushawn's possible finishing times (r) must be less (<) than Josie's finishing time (329) plus 60 seconds.

Mathematically speaking:

r < 329+60

r < 389

So, the correct option is the last one.

Feel free to ask for more if needed or if you did not understand something.

Answer: r < 389

Step-by-step explanation:

Answer: x(-1.8-6y)  =  -1.8*x -6*y*x

Step-by-step explanation:

The distributive property says that if we have:

A*(B + C) where A, B and C can be any numbers, we can expand the equation as:

A*(B + C) = A*B + A*C.

So, in this case, we have the equation:

x*(-1.8 - 6y)

so we can expand this as:

x*(-1.8 - 6y) = x*(-1.8) + x*(-6*y) = -1.8*x -6*y*x

Answer:

B

Step-by-step explanation:

it B pls mark me i calculated it 4 time pls

Answer:

on edge?

Step-by-step explanation:

Option A to buy has a total cost of 20,579 dollars, up-front cost of 2,500 dollars, monthly payment of 338 dollars for 60 months, and no mileage restriction. Option B to lease has a total cost of 12,169 dollars, up-front cost of 3,925 dollars, monthly payment of 229 dollars for 36 months, and mileage restriction of 10,000 per year.

You live 17 miles from work. You can expect to drive a minimum of  

miles per week.          170

You will work about 48 weeks per year, so you can expect to drive a minimum of                 8,160      miles per year.

You have a vacation planned and you expect to drive approximately 2,000 miles round trip. If you take the vacation, you      WILL NOT    stay under your mileage restriction if leasing.

Answer:

The answer is C.

Step-by-step explanation:

ur welcome

Answer:

7cm

Explanation:

Perimeter= 34cm

13+14= 27cm

34-27= 7cm

Answer:

Solution

[tex]area = 2 \sqrt{510} \: {cm}^{2} \\ perimeter = 34 \: cm \\ ab = 14 \: cm \\ bc = 13 \: cm \\ ac = \\ perimeter = ab + bc + ca \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:or \: 34 = 14 + 13 + ca \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 34 = 27 + ca \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - ca = 27 - 34 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - ca = - 7 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ca = 7 \: cm[/tex]

hope this helps ....

good luck on your assignment...

Answer:

value of 4 tan 45° +(2 sin 45°) (6 cos 45°)​ is 10.

Step-by-step explanation:

To solve this question we need to know value of

tan 45° = 1

sin 45° = [tex]1/\sqrt{2}[/tex]

cos 45° = [tex]1/\sqrt{2}[/tex]

we will be using above value sin the given expression as shown

[tex]4 tan 45 +(2 sin 45) (6 cos 45)​ = 4*1 + (2*1/\sqrt{2} )(6*1/\sqrt{2})\\ = 4 + (2/\sqrt{2}) (6/\sqrt{2})\\= 4 + (2*6)/(\sqrt{2}*\sqrt{2})\\= 4 + (12/2)\\= 4 + 6 = 10[/tex]

Thus, value of 4 tan 45° +(2 sin 45°) (6 cos 45°)​ is 10.

Answer: The Inverse function is f^-1 (x) = 9x-18

Answer: A) 23

Step-by-step explanation:

You can substitute x in the equation for the unknown number.

This way, x + 2x= 69

3x=69

x=23

Answer:

23

Step-by-step explanation:

just use the multiple choices and get your answer.

I got 23 as the answer.

23 + 46 = 69

Answer:

8.7

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

Answer:

[tex]1\frac{10}{27}[/tex]

Step-by-step explanation:

It's just:

[tex]6 \frac{1}{6} *\frac{2}{9}=\\[/tex]

[tex]\frac{37}{6} *\frac{2}{9} =[/tex]

[tex]\frac{74}{54} =[/tex]

[tex]\frac{37}{27} =[/tex]

[tex]1\frac{10}{27}[/tex]

Hope this helps and is correct.

Answer:

−2x^2 + 9x − 20

Step-by-step explanation:

distribute the negative to the expression and simplify

x^2 + 7x + −9 + −3x^2 + 2x + −11

= −2x^2 + 9x − 20

Answer: x= -5 1/3w -5y

Step-by-step explanation:

add -15y to other side. then divide by -3 on both sides. 16/-3= -5 1/3 w and 15/-3 is -5

Answer:

<ABC

Step-by-step explanation:

Answer:

46 Degrees

Step-by-step explanation:

hoped this helped

Answer:

Step-by-step explanation:

Lets find the distance (the side length of the square)

D=sqrt((x2-x1)^(2)+(y2-y1)^(2))

plug in the coordinates:

D=sqrt((-5-(-5))^(2)+(12-(-3))^(2))

D=sqrt(0^(2)+15^(2))

D=sqrt(15^(2))

D=15

Area of a square is side length squared

A=s^2

A=15^2

A=225 units squared

Answer:

Im pretty sure the exact value would be 0

Step-by-step explanation:

Answer:

the second integer is greater than the first

Step-by-step explanation:

Answer:

C. the second integer is greater than the first integer.

Step-by-step explanation:

this has to be true, because the farther you get to the right of the number line, the higher the numbers get.

It is not A or B, because we are not certain whether the second integer is negative or positive since we don't have any references.

And its not D, because the farther left you go, the less the numbers get.

Answer: our rectangle is 23 meters of width and is 54 meters long.

Step-by-step explanation:

The perimeter of a rectangle is P = 2*W + 2*L

where W is the width and L is the length.

We know that W = 23m and P = 154m

then:

154m = 2*23m + 2*L

(154m - 2*23m)/2 = L = 54m

So our rectangle is 23 meters of width and is 54 meters long.

Answer:

that line is a translation through the other two line.

Step-by-step explanation:

a translation on a line makes them paralel

Answer:

23%

Step-by-step explanation:

Answer:

23 %

Step-by-step explanation:

The total money earned:

124+ 30+ 46 =200

Percent earned babysitting

money earned babysitting / total * 100%

46/200 * 100 = 23 %

Answer: d) similar, SAS similarity, ΔDGH

Step-by-step explanation:

DG ≡ GC ⇒ G is the midpoint of DC

DH ≡ HB ⇒ H is the midpoint of DB

Therefore, HB is the midsegment of ΔDCB.

By the Midsegment Theorem, HB || BC

By Corresponding Angles Theorem, ∠DGH ≡ ∠DCB

[tex]\underline{Sides}:\\\\\dfrac{DB}{DC}= \dfrac{7}{14}\rightarrow \dfrac{1}{2}\qquad \dfrac{DH}{DB}= \dfrac{7}{14}\rightarrow \dfrac{1}{2}[/tex]

ΔDCB ≅ ΔDGH by Side-Angle-Side Similarity Theorem

Answer:

distance of his partner from the base of the tower ≈ 53.6 ft(nearest tenth)

Step-by-step explanation:

The forest ranger is on top of a fire tower and he sees his partner on the ground at the angle of depression of 40°. The tower is 45 ft tall.  

The illustration forms a right angle triangle.

The adjacent side of the triangle is the distance from the partner to the base of the tower.

Using tangential ratio

tan 40° = opposite/adjacent

tan 40° = 45/adjacent

cross multiply

adjacent tan 40° = 45

divide both sides by tan 40°

adjacent =45/tan 40°

adjacent = 45/0.83909963117

adjacent = 53.6289116667

distance of his partner from the base of the tower ≈ 53.6 ft

Answer:

19 cups of water.

Step-by-step explanation:

1:2 ratio

1=9.5

2=9.5*2= 19

Answer:

19 cups of water.

Step-by-step explanation:

2/3 - 1/4

8/12 - 3/12= 5/12

She ate 5/12 pound of turkey.

please see the attached picture for full solution

hope it helps

Good luck on your assignment...

Answer:

Step-by-step explanation:

Mathematically, the area of a sector can be calculated using the formula below;

area of sector = angle/360 * pi * r^2

From the question, angle = 180

pi= 22/7

r = d/2 = 5.6cm/2 = 2.8 cm

So the area of the sector is as follows;

A = 180/360 * 22/7 * 2.8^2

A = 2 * 22/7 * 2.8^2 = 49.28

which is 49.3 cm^2 to the nearest tenth

Answer:

C. picking a 4 of diamonds from a standard deck of cards

Step-by-step explanation:

First, we need to remember what the possible outcomes of a deck of cards, a flipped coin, and a standard number cube are.

A standard deck of cards has a total of 52 cards. There are 4 cards with a 7 on them. There is only one card with a 4 of diamonds. A nickel has 2 sides, and each side is equally likely show after a coin toss. A number cube has 6 faces with a different number from 1 to 6 on each face.

Now we find the probability of each situation. To find the probability of an event, divide the number of ways the desired event can happen by the total number of outcomes.

1. p(7) = 4/52 = 1/13 = 0.0769

2. p(tails) = 1/2 = 0.5

3. p(4 of diamonds) = 1/52 = 0.0192

4. p(number greater than 2) = 4/6 = 2/3 = 0.667

Answer: picking a 4 of diamonds from a standard deck of cards

Answer:

The value of x is 66

Step-by-step explanation:

Answer:

66°

Step-by-step explanation:

The interior angles of a triangle always sum up to 180°.  Looking at the first triangle, we see 48° + 66° + x = 180°, or x = 180° - (48° + 66°) = 66°.  This is true because the triangles are congruent.

Answer:

$34.89

Step-by-step explanation:

Here, we want to calculate the price of the pair of shoes.

Let the price of the belt be $x, we know that the price of pair of shoes would be x-1.79

so adding;

x + x-1.79 = 71.57

2x = 71.57 + 1.79

2x = 73.36

x = 73.36/2

x = $36.68

The price of pair of shoes = x-1.79 = 36.68-1.79 = $34.89

Answer:

Yes

Step-by-step explanation:

If we put both equations in slope-intercept form, we have

y=-x+3

y=-x+20

Both lines have the same slope of (-1).

Answer:

9=7+a....................equation 1

a+8=b+5................equation 2

equation 1

9=7+a

9-7=a

2=a

a=2

put equation 1 into equation 2

2+8=b+5

10= b+5

10-5= b

5=b

b=5

meaning value of b=5

The value of b is 5 for the given equations 9 = 7 + a and a + 8 = b+5.

The substitution method is the algebraic method to solve simultaneous linear equations. In this method, the value of one variable from one equation is substituted in the other equation.

According to the given question we have , two equations

[tex]9 = 7+a...(i)[/tex]

and [tex]a + 8 = b + 5...(ii)[/tex]

From equation (i)

9 = 7 + a

⇒ a = 9 -7

⇒  a = 2

Substitute the value of a in equation (ii)

⇒ 2 + 8 = b + 5

⇒ 10 = b + 5

⇒ b = 10 -5

⇒ b = 5

Hence, the value of b is 5 for the given equations 9 = 7 + a and a + 8 = b+5.

Learn more about substitution method here:

https://brainly.com/question/14619835

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