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3 years ago

9

Translate the sentence into an inequality. Twice the difference of a number and 4 is at most -21. Use the variable x for the unk

nown number.

1 answer:

GREYUIT [131]3 years ago

6 0

Answer:

$2x-8\leq -21$

Step-by-step explanation:

At Most= $\leq$

Twice the difference of a number and 4:

$2(x-4)$

$2x-8$

There you have it!

P.S. Might be wrong. A bit late for me.

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b. From where the shoes spilled (48°N, 161°W) to where they were found on May 22nd 1996 (54°N, 133°W), how many kilometers did t

dsp73

To find kilometers using latitude and longitude:

distlon = lon2 - lon1 = 133-161 = -23

distlat = lat2 - lat1 = 54-48 = 6

a = (sin(distlat/2))^2 + cos(lat1) * cos(lat2) * (sin(distlon/2))^2

a = (sin(6/2)^2 + cos(48)*cos(54)* sin(-23/2)^2

c = 2 * arctan2( sqroot(a), sqroot(1-a) )

d = R * c (where R is the radius of the Earth, 6373 km's)

d = 2052 km's

April 30th to May 22nd is 23 days.

23 days x 24 hours per day = 552 hours.

Rate of travel = 2052 / 552 = 3.717 km per hour ( round answer as needed.)

3 0

3 years ago

Solve the system by substitution. Check your solution. A minus 1.2 b = negative 3. 0.2 b + 0.6 a = 12 a. (15, 15) c. (13, 12) b.

Mrrafil [7]

Answer:

The answer to the question is -1.32

Step-by-step explanation:

The first step will be to write out the equation that we are working with:

This equation is

$0.2b + 0.6a = 12$

The next step is to write out the values of the figures that we are substituting:

$a = -1.2 b=-3$

Substitution in mathematics can best be understood as "something being used in place of another thing". This means that wherever the first variable appears in an equation, the substituting values will replace it and multiply the number it is attached to.

In this case, we will replace the 'b' and the 'a' with the - 1.2 and - 3 respectively.

$0.2(-3) + 0.6(-1.2) = -1.32$

6 0

3 years ago

Read 2 more answers

Put 19/22 into a percentage

erastova [34]

Answer:

19/22 into a percentage is 86.36%

6 0

3 years ago

Read 2 more answers

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A

Afina-wow [57]

Answer:

13.86 ft/sec

Step-by-step explanation:

If we let x = distance batter has run at time t and D = distance from second base to the batter at time t, then we know $\frac{dx}{dt}=31 ft/s$ and we want $\frac{dD}{dt}$ when he is halfway (at x = 45).

Using Pythagoras theorem

$D^2=90^2+(90-x)^2\\\text{Differentiating with respect to t}\\2D\frac{dD}{dt}=0+2(90-x)(-1)\frac{dx}{dt}\\2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}$

When x=45

$D^2=90^2+(90-x)^2\\D^2=90^2+(90-45)^2\\D^2=10125\\D=\sqrt{10125}$

$2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}\\2\sqrt{10125}\frac{dD}{dt}=-2(90-45)(31)\\\frac{dD}{dt}=\frac{-2(45)(31)}{2\sqrt{10125}} =-13.86ft/s$

Thus, when the batter is halfway to first base, the distance between second base and the batter is decreasing at the rate of about 13.86 ft/sec.

4 0

3 years ago

PLEASE HELP ITS MY TRIMESTER TEST MY MOM WILL KILL ME IF I FAIL! <3 WILL MARK BRAINLIST!

Masteriza [31]

Answer:

$area = area \: of \: two \: semi \: circles + area \: of \: rectangle \\ = 2( \frac{1}{2} \pi {r}^{2} ) + (l \times w) \\ = 2( \frac{1}{2} \times 3.14 \times { (\frac{18}{2}) }^{2} ) + (18 \times 4.5) \\ = 254.47 + 81 \\ = 335.5 \: {ft}^{2}$

3 0

3 years ago

Read 2 more answers