Ken and Leah are trying to solve a science homework question. They need to find out how much a rock that weighs 4 pounds on Earth would weigh on Mars. They know they can multiply the amount the rock weighs on Earth by 0.38 to find its weight on Mars..

Answer:

The manager predicts that 3 less hats will be sold for every $1 increase in price. For what prices can the manager predict that at least 50

Step-by-step explanation:

The manager can predict $26 that at least 80 hats will be sold.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Cost of one hat = $16.

And number of hats sold by manager = 120.

Also, given that,

if $1 increases 4 fewer hats will be sold.

To find the price when 80 hats will be sold.

40 fewer hats should be sold.

4 fewer hats increases $1.

40 fewer hats will increase $1 x 10 = $10.

So the price of new price of hat = 16 + 10 = $26,

At $26 per hat the manager can sell at least 80 hats.

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Answer:

  -1 ±4i

Step-by-step explanation:

The quadratic can be written in vertex form as ...

  x² +2x +17 = 0

  (x² +2x +1) +16 = 0 . . . . . . . . identify the part that can be a perfect square

  (x +1)² = -16 . . . . . . . . . . . . subtract 16

  x +1 = ±√(-16) = ±4i . . . . take the square root

  x = -1 ±4i . . . . . . . . . . . subtract 1

The roots of the equation are x = -1-4i and x = -1+4i.

_____

Additional comment

It can be worthwhile to remember the form of a perfect square trinomial:

  (x +a)² = x² +2ax +a²

If you know the coefficient of x, you can use half of it as the constant in each binomial factor.

In the above, we had 2a=2, so a=1 and a²=1. The constant 17 then is resolved into two parts: one part (1) is used to "complete the square" and the other part (16) is the y-coordinate of the vertex. It is used to find the "radical" portion of the roots.

The roots of the equation  [tex]x^2 + 2x + 17 = 0[/tex] are [tex]x = -1 +4i[/tex] and [tex]x = -1 - 4i[/tex].

To find the roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] in simplest a + bi form, we can use the quadratic formula.

The quadratic formula states that for an equation in the form[tex]ax^2 + bx + c = 0[/tex], the roots can be found using the formula:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

We have a = 1, b = 2, and c = 17.

Substituting these values into the quadratic formula, we get:

[tex]x = \frac{-2 \pm \sqrt{4 - 68}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{-64}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{64i^2}}{2}[/tex]

[tex]x = \frac{-2 \pm 8i}{2}[/tex]

[tex]x = -1 \pm 4i[/tex]

So, [tex]x = -1 +4i[/tex] and [tex]x=-1-4i[/tex] are roots.

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Answer:

AB and GF are skew

DH and BF are II

EF and HG are skew

ABCD and EFGH are II

Step-by-step explanation:

II is parralell or side by side.

Skew would be like intercepting with one another.

Have an awesome day! :D

Answer:

x(2x-1)=0

3x-1x=0

2x=0

x=0/2

x=0

Step-by-step explanation:

LCM

first term =3x

=3×x

second term = 4x²y

=2×2×x×x×y

third term =x(x+1)

LCM=x

Answer:

djeuiiuhjjjcjffvgbftvkrfjjjjjrjrjrjjnnrnrf

Answer:

a. 2x +5

b. Pic attached

c. f(4) = 2•4 +5

f(4) = 8 +5

f(4) = 13

d. Domain: all the real numbers

Range: all the real numbers

Answer:

not clear enough

Step-by-step explanation:

Answer:

Hell your answer for x is 4 11/14 ( that is what i got)

Step-by-step explanation: K12

Answer:

i think the answer is Devonte's  store because you get 14 shirt for $56

Step-by-step explanation:

Pharaoh's good it's not too expensive but you only get 3 shirts , Diego's is too expensive even if you get 16 shirts it's for $96

Answer:

99.5

Step-by-step explanation:

in right angle triangle

sin x = opposite side / hypotenuse

sin 34 = x  / 178

x  = sin 34 * 178

= 99.5

Answer:

1080

Step-by-step explanation:

in 135 calories there is 1/4 cup

? there is 2 cup

135×2=270 ÷1/4

270×4=1080 cups of trail mix

Answer:

d = mn/F

Step-by-step explanation:

F = mn/d

multiply both sides with d

d*F = mn/d*d

dF=mn

divide F from both sides

d/F = mn/F

So..

d = mn/F

Answer:

Given:

[tex] \boxed{ \mathsf{F = \frac{mn}{d} }}[/tex]

Divide both sides by "mn":

[tex] \mathsf{ \frac{F}{mn} = \frac{mn}{d \times mn} }[/tex]

The two mn's on the RHS gets canceled out. So we're left with:

[tex] \mathsf{ \frac{F}{mn} = \frac{1}{d} }[/tex]

Invert the fractions present on either side of the "equals" sign

(In other words, flip it on its head so its numerator becomes its denominator and vice):

[tex] \mathsf{ \frac{mn}{F} = \frac{d}{1} }[/tex]

Hence, we got the value of d:

[tex] \underline{\mathsf{ d= \frac{mn}{F} }}[/tex]

Answer:

1460

Step-by-step explanation:

18.5% of 1460 = 270.1

1460 - 270.1 = 1189.9

Step-by-step explanation:

-2x-6=8x+ 12-x-4

x-2x-6=8x+12-4

-2x - 6 = 7x + 8 or -9x - 6 = 8 are the equivalent equation.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

To solve the equation -2(x+3)= 4(2x+3)-(x+4), Katrina can use equivalent equations obtained by simplifying each side of the equation using the distributive property, combining like terms, and solving for x.

One possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4 \\-2x - 6 = 7x + 8[/tex]

Another possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4\\ -2x - 6 = 7x + 8\\-9x - 6 = 8\\-9x = 14 \\x = -14/9\\[/tex]

Therefore, the equivalent equations that Katrina can use to solve the original equation are:

-2x - 6 = 7x + 8 or -9x - 6 = 8

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Answer:

16c-6

Step-by-step explanation:

(7c-6)+(6c-10)+(3c+10)=?

7c-6+6c-10+3c+10=?

Collect like terms.

16c-6-10+10

Add and subtract.

16c-6

Hope this helps :)

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When divding numbers with the same base you subtract the exponents ~

Answer:

subtracts

Step-by-step explanation:

hope this helps

Answer:

A, B, D are correct

Step-by-step explanation:

A. 32 divided by 1 = 32

Works, it is correct

B. 32 divided by 2 = 16

Works, it is correct

C. 32 divided by 3 = 12

Incorrect, 12 x 3 = 36, not 32

D. 32 divided by 8 = 4

Works, it is correct

-Chetan K

Answer:

2

Step-by-step explanation:

Answer:

A, C, E, F

Step-by-step explanation:

when you multiply the numbers with 7 the answer is greater than 42

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope. it is expressed as ratio of y change / x change when going from one point to another.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b.

we see costs is on the y axis, and miles is on the x axis.

so what points do we identify on the chart for the green taxi ?

there is right on the y-axis (0, 5). which is already our y-intercept.

and then let's pick e.g. the point where both lines intercept : (3, 8).

for the slope we look at the coordinate changes :

x changes by +3 (from 0 to 3).

y changes by +3 (from 5 to 8).

so, the slope is 3/3 = 1.

and again, the y- intercept is +5.

therefore, the line equation is

y = x + 5

meaning the cost of a fare is the number of miles plus 5.

Answer:4

Step-by-step explanation: $0.15 x 4 = 0.6

0.60 divide by 0.15

= 4.

We want to graph the linear function that models how much Maggie saves, the graph can be seen below.

So we know that maggie starts with $30, and she saves another $30 per week, then after x weeks, the total amount that she has saved is:

S(x) = $30 + $30*x

Now we have the function, to graph it, we just need to get two points of the function and then connect them with a line, to get these points, we just evaluate the function in two different values of x:

S(0) = $30 + $30*0 = $30

S(1) = $30 + $30*1 = $60

So we have the points (0, $30), (1, $60).

Now we just need to graph these points and connect them with a line, the graph can be seen below.

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Answer:

(0,30) and (1,70)

Step-by-step explanation:

I took the quiz in USATestprep.

Answer:

It is true that both cars are traveling at the same speed.

Step-by-step explanation:

Given that car A travels 20 miles over half an hour, we know that this car is traveling at a speed of 40 miles per hour.

Car B travels 30 miles in 3/4 of an hour, let us set up a proportion to solve whether or not Car B is traveling at the same rate as Car A

30 miles / (3/4 hour) = x miles / 1 hour      Cross multiply

30 = (3/4) x                                                   Divide both sides by (3/4)

40 = x

Therefore, both Car A and Car B are traveling at the same rate.

Step-by-step explanation:

Answer:

5’7”

Step-by-step explanation:

te refieres a lionel messi? el mide 5'7 ".

Perdon, mi español no es muy bueno :)

Answer:

8:16 and 9:18

Step-by-step explanation:

When looking at 1:2 you can see that 1 + 1 = 2 from this we can easily tell that the answer will be like this. 8 + 8 = 16 and 9 + 9 = 18 but 4 + 4 = 8 and not 6.

Answer:

125 R10

Step-by-step explanation:

You have to do (1760-10)/14=125

Answer:

x=0

Step-by-step explanation:

honestly this is just filler no reason to explain it hoenstly