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Sunny_sXe [5.5K]
2 years ago
11

If 3w +6=21 find the value of w

Mathematics
2 answers:
White raven [17]2 years ago
7 0

Answer:

3w + 6 = 21 \\ 3w = 15 \\ w = 5

Vikki [24]2 years ago
5 0

Hey there!

\mathsf{3w + 6 = 21}

<h3>SUBTRACT 6 to BOTH SIDES </h3>

\mathsf{3w + 6 - 6 = 21 - 6}

<h3>CANCEL out: 6 - 6 because that gives you 0 </h3><h3>KEEP: 21 - 6 because it helps you solve for w </h3>

\mathsf{21 - 6 = \boxed{\bf 15}}

<h3>NEW EQUATION: \mathsf{3w = 15}</h3><h3>DIVIDE 3 to BOTH SIDES </h3>

\mathsf{\dfrac{3w}{3}=\dfrac{15}{3}}

<h3>CANCEL out: \mathsf{\dfrac{3}{3}} because that gives you 1</h3><h3>KEEP: \mathsf{\dfrac{15}{3}} because that gives you the value of w</h3><h3>NEW EQUATION: \mathsf{\dfrac{15}{3}=w}</h3>

\mathsf{\dfrac{15}{3}=\boxed{\bf 5}}

\boxed{\boxed{\large\textsf{Therefore, your answer: \huge \bf w = 5}}}\huge\checkmark

\large\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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Someone help me with this please
anzhelika [568]

for question 1

Area of Base B =45×25 = 1125 cm²

perimeter of base P = 2(45+25) = 140 cm

Height = 15 cm

Using the formula

Surface area = 2B + Ph

A = 2×1125 + 140×15= 4350 cm²

Voume = Bh = 1125×15= 16875 cm³

For question 2,

Area of base = 7× 5/2= 17.5 cm²

Perimeter of base = (7+7+7) = 21 cm

Surface area = 2B + Ph

Surface area of prism = 2×17.5+ 21×10 = 245cm²

Volume = Bh = 17.5×10 = 175 cm³

6 0
3 years ago
Read 2 more answers
The students in Mr. Wilson's Physics class are making golf ball catapults. The
Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is 0 \leq x \leq 48.6\ ft and the range is 0 \leq y \leq 8.3\ ft

Step-by-step explanation:

we have

y=-0.014x^{2} +0.68x

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's  distance from the catapult in feet

y is the flight of the balls in feet

Part a)  How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-0.014x^{2} +0.68x=0

so

a=-0.014\\b=0.68\\c=0

substitute in the formula

x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}

x=\frac{-0.68(+/-)0.68} {(-0.028)}

x=\frac{-0.68(+)0.68} {(-0.028)}=0

x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

y=-0.014x^{2} +0.68x

Find out the derivative and equate to zero

0=-0.028x +0.68

Solve for x

0.028x=0.68

x=24.3

<em>Alternative method</em>

To determine the x-coordinate of the vertex, find out the midpoint  between the x-intercepts

x=(0+48.6)/2=24.3\ ft

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

y=-0.014(24.3)^{2} +0.68(24.3)

y=8.3\ ft

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A  reasonable domain is the distance between the two x-intercepts

so

0 \leq x \leq 48.6\ ft

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A  reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

so

we have the interval -----> [0,8.3]

0 \leq y \leq 8.3\ ft

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

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A shirt that normally sells for $28 is on sale at a 10% discount. What is the sale price of the shirt?
sdas [7]
The shirt would then be $25.20
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Read 2 more answers
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Molodets [167]

Let the amount Kevin earns be represented with K

Let the amount Jason earns be represented with J

Jason earns $32.50 less than twice Keyin earns can be represented by

J = K - 32.5 ----- equation 1

Jason earns $ 212.5

J = 212.5 ----- equation 2

From equation 1, we can write the equation to solve for what Kevin earns

J = K - 32.5

Making K the subject of the formula

K = J + 32.5

Putting J = 212.5 into the equation above

K= $ 212.5 + $ 32.5

K = $ 245

Kevin earns $245

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There are 90 seats on a train. 63 of the seats are empty. What percentage of the seats on the train are empty?
Trava [24]

Answer:

70%

Step-by-step explanation:

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3 years ago
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