What would be the constant in this problem? 20c+5w+95.50

The word in the problem that indicates that a negative sign should be used is "descend".

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

We know that he stops for water breaks four times, and between each water break, he descends 15 meters.

The written equation is:

4 x (-15)m = -60m

The negative sign is used because the hiker is descending, so its height is decreasing. The word in the problem that indicates that a negative sign should be used is "descend"

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Answer: NO

Step-by-step explanation:

14 × 10^8 is not in scientific notation

scientific notation: a×10^b, where should be 0<a<10

As seen above, 14 is greater than 0, but also greater than 10, thus, it is not in scientific notation.

------------------

EXTRA: How to change it into proper scientific notation

To change it into scientific notation, we need to divide 14 by 10, do get 1.4. (or just move the decimal point to the left by 1 unit)

1.4 is within the range of 0-10.

1.4 × 10^9 (remember, we just divided 14 by 10, and so we need to add on the exponent by 1)

Hope this helps!! :)

Please let me know if you have any question

Answer:

x = -15

Step-by-step explanation:

3x–7x=60

Combine like terms

-4x = 60

Divide by -4

-4x/-4 = 60/-4

x = -15

Answer:  x=-15

Step-by-step explanation:

3x -7x =60  

-4x = 60

x= -15  

Answer:

11r^2+10pr-9p i think

Step-by-step explanation:

On simplifying the expression we get 11r²+10pr-9p

In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.

Given here, -r²+8pr-p-(-12r²-2pr+9p) = -r²+12r²+8pr+2pr-10p

                                                            =11r²+10pr-9p

Hence, On simplifying the expression we get 11r²+10pr-9p

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Answer:

[tex]x=-7[/tex]

Step-by-step explanation:

So we have the equation:

[tex]x+5=-2[/tex]

To solve, subtract 5 from both sides. This is the subtraction property of equality:

[tex](x+5)-5=(-2)-5[/tex]

The left side cancels:

[tex]x=(-2)-5[/tex]

Subtract on the right.

[tex]x=-7[/tex]

So, our answer is -7.

Step-by-step explanation:

8.02 X 10².............

Answer:10

Step-by-step explanation:

4[5+2(6-6)]-5[4(4-3)-4+2]=20-5[4-2]=10

Answer:

10

Step-by-step explanation:

4[5+2(6-2*3)]-5[4(16÷4-12÷4)-4+2]

4[5+2(6-6)]-5[4(4-12÷4)-4+2]

4[5+2(6-6)]-5[4(4-3)-4+2]

4[5+2(0)]-5[4(1)-4+2]

4[5+0]-5[4-4+2]

4[5]-5[0+2]

4[5]-5[2]

20-5[2]

20-10

10

Answer:

4.5

Step-by-step explanation:

Let the number be x, then:

The number is 4.5

Answer:

4.5

Step-by-step explanation:

let the number be x , then

10x + 15 = 60 ( subtract 15 from both sides )

10x = 45 ( divide both sides by 10 )

x = 4.5

The number is 4.5

Answer:

1 ft = 12 in

14 ft = 14*12 in

14 ft = 168 in

Now we can write the following equation:

3x + 2*42 = 168 + 3

........

........

x = 29 in

The poster should be placed 29 inches from the edge of the wall.

Answer:

15 miles/hour = 0.25 miles/minute

The cyclist would have traveled 5 miles in 20 minutes.

Step-by-step explanation:

15 miles per hour is written as

15 miles/hour

To convert 15 miles/hour to miles/minute

From 1 hour = 60 minutes

∴ 15 miles/hour = 15 miles/ 60 minutes

= (15/60) miles/minute

= 0.25 miles/minute

To calculate how many miles the cyclist will travel in 20 minutes

That is, Time, t = 20 minutes

Velocity, v = 15 miles/hour = 0.25 miles/minute

Distance, s = ??

From,

[tex]Velocity = \frac{Distance}{Time}\\[/tex]

∴[tex]Distance = Velocity[/tex] × [tex]Time[/tex]

[tex]Distance = 0.25 miles/minute[/tex] × [tex]20 minutes[/tex]

[tex]Distance = 5 miles[/tex]

Hence, The cyclist would have traveled 5 miles in 20 minutes.

Answer: it will be 1/6

Step-by-step explanation:

x = 6 and KL = 32

First off, you're not brainless, your brain needs practice that's all.

Since L is the midpoint of the line KM, that means KL = LM

KL [tex]= 5x + 2[/tex]

LM [tex]= 9x - 22[/tex]

KL = LM

[tex]5x+2=9x-22\\5x=9x-24\\-4x=-24\\x=\frac{-24}{-4} \\x=6[/tex]

KL [tex]= 5x + 2[/tex], substitute [tex]x[/tex]:

KL [tex]=5(6)+2[/tex]

KL [tex]= 30 + 2[/tex]

KL [tex]= 32[/tex]

let's also find LM just for fun

LM [tex]= 9x-22[/tex], substitute [tex]x[/tex] again:

LM [tex]= 9(6) -22[/tex]

LM [tex]=54-22[/tex]

LM [tex]=32[/tex]

this proves that KL = LM

Answer:

$91

Step-by-step explanation:

f(x) = 2.5 x

$25 more would + $25 to the function

60% = .6

Revenue is f(x) = 2.5x  which we have to multiply by the .6

g(x) = $25 + .6 (2.5 x)

If we have 44 watermelons then we plug in 44 for x

x = 44

g(x) = $25 + .6 (2.5*44)

g(x) = $25 + .6 (110)

g(x) = 25 + 66

g(x) = $91

The profit is $91

Answer:

50mph

Step-by-step explanation:

Given the following :

Distance (d) of journey = 20 miles

Wind speed = 30mph head wind in one way, 30mph tail wind in the other direction

Return trip = 45 minutes (45/60 = 0.75 hour) less Than the outbound journey

Speed of plane in still air

Outbound trip :

Velocity = Distance / time

Time = distance / velocity

Velocity = (v - 30) due to head wind

Return Velocity (V +30) due to tail wind

Outbound time = return distance

20 / (v - 30) = 20 / (v +30) + 0.75

20v + 600 = 20v + 0.75v^2 + 22.5v - 600-22.5v-675

600 = 0.75v^2 - 1275

0.75v^2 = 1875

v^2 = 1875/ 0.75

v^2 = 2500

v = sqrt(2500)

v = 50mph

Answer:

Ok, let's define the notation:

A is the number of 2-point field goals that your team scored.

B is the number of 3-point field goals that your team scored:

We know that:

" your team scored three times as many 2-point field goals than it did 3-point field goals,"

This can be written as:

A = 3*B

" And scored a total of 90 points."

A*2 + B*3 = 90

Then we have a system of two equations and two variables:

A = 3*B

A*2 + B*3 = 90

Now we can replace the first equation into the second one and get:

(3*B)*2 + B*3 = 90

B*6 + B*3 = 90

B*9 = 90

B = 90/9 = 10

And we know that:

A = 3*B

A = 3*10 = 30

Then your team scored 30 2-point field goals and 10 3-point field goals (a total of 40 if you combine them)

Answer:

D is true

Step-by-step explanation:

count AB then Count BC and add them together

and then it equals the same amount as AC

Hey there! I'm happy to help!

We want to get c all by itself on one side of the equation. Usually variables go on the left side, so let's flip the equation around.

c/9=-8

If we multiply c/9 by 9, the 9 will cancel out because if you divide by 9 and then multiply by 9 it just equals 1. We can do this to isolate the c, but whatever you do to one side of the equation, you have to do to the other. So, we multiply both sides by 9.

c/9×9=-8×9

c=-72

Have a wonderful day! :D

Answer:

c = -72

Step-by-step explanation:

I hope this helps!

Answer:

6

Step-by-step explanation:

Let the two integers be a and b.

The difference of them is 26. Thus:

[tex]a-b=26[/tex]

One of them (let's use a) is 2 more than 5 times the other. Thus:

[tex]a=2+5b[/tex]

Substitute:

[tex]a-b=26\\(2+5b)-b=26[/tex]

Combine like terms:

[tex]4b+2=26[/tex]

Subtract 2 from both sides:

[tex]4b=24[/tex]

Divide by 4:

[tex]b=6[/tex]

And the second number is:

[tex]a-b=26\\a-6=26[/tex]

Add 6 to both sides:

[tex]a=32[/tex]

So, our two numbers are 32 and 6

And the smaller integer is 6.

And we're done :)

Answer:

The smaller intrger is:

6

Step-by-step explanation:

a = 5b + 2

a - b = 26

then:

(5b+2) - b = 26

4b = 26 - 2

4b = 24

b  = 24/4

b = 6

a = 5b + 2

a = 5*6 + 2

a = 30 + 2

a = 32

Check:

32-6 = 16

32 = 5*6 + 2

32 = 30 + 2

6<32

the smaller integer is:

6

Answer:

1a. 0 pounds of grapes costs 0 dollars.

1b. 1 pound of grapes costs 3 dollars.

2a. There are 0 batteries in 0 packs of batteries.

2b. There are 10 batteries in 1 pack of batteries.

Answer:

1/5 to to the third makes it 1/125

Step-by-step explanation:

Answer:

0.008

Step-by-step explanation:

5-3 = 1 ÷ 5 ÷ 5 ÷ 5 = 0.008

or could be calculated like this

1 ÷ (5 × 5 × 5) = 1/53 = 1/125 = 0.008

Answer:

2/3

Step-by-step explanation:

h = height of the cone

Vcone = πr²h/3

H = h/2 = height of the cylinder

Vcylinder = πr²H = πr²h/2

Vcone/Vcylinder = (πr²h/3)/(πr²h/2)

= πr²h/3 x 2/πr²h

= 2/3

Answer:

2/3

Step-by-step explanation:

h = height of the cone

Vcone = πr²h/3

H = h/2 = height of the cylinder

Vcylinder = πr²H = πr²h/2

Vcone/Vcylinder = (πr²h/3)/(πr²h/2)

= πr²h/3 x 2/πr²h

= 2/3

Step-by-step explanation:

Use the function to find the coordinates of the endpoints.  Find the slope between those points, then use point-slope form to write the equation.  If you wish, you can simplify to slope-intercept form.

For example, #66:

f(2) = -4(2) + 1 = -7

f(5) = -4(5) + 1 = -19

So the endpoints of the secant line are (2, -7) and (5, -19).  The slope between those lines is:

m = (-19 − (-7)) / (5 − 2)

m = -12 / 3

m = -4

The equation of the line in point-slope form is:

y − (-7) = -4 (x − 2)

y + 7 = -4 (x − 2)

Simplifying:

y + 7 = -4x + 8

y = -4x + 1

f(x) is a line, so unsurprisingly, the secant line connecting two points on that line has the same equation.

Let's try #68:

g(2) = (-1)² + 1 = 2

g(5) = (2)² + 1 = 5

So the endpoints of the secant line are (-1, 2) and (2, 5).  The slope between those lines is:

m = (5 − 2) / (2 − (-1))

m = 3 / 3

m = 1

The equation of the line in point-slope form is:

y − 2 = 1 (x − (-1))

y − 2 = x + 1

Simplifying:

y = x + 3

Answer: x=16

Step-by-step explanation:

[tex]2x+6=3x-10[/tex]

Subtract 6 on both sides

[tex]2x+6-6=3x-10-6[/tex]

[tex]2x=3x-16[/tex]

Subtract 3x on both sides

[tex]2x-3x=3x-16-3x[/tex]

[tex]-x=-16[/tex]

Divide -1 on both sides

[tex]\frac{-x}{-1}=\frac{-16}{-1}[/tex]

[tex]x=16[/tex]

Answer:

imma guess 19 but im not sure