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blagie [28]
2 years ago
6

A bakeware company is designing a prototype for a new cake pan. The pan needs to have a height of 1.5 inches so that the cake la

yer will be the correct height. The length of the pan should be six inches less than twice the width. The designer used a computer program to build the basic design shown below.
Write an equation that the designer can use to determine the volume of cake batter that can fit in the pan, V, in cubic inches, in terms of the width, w, in inches.

A.
V = 2w2 − 6w
B.
V = 3w2 − 9w
C.
V = 1.5w2 − 9w
D.
V = 0.75w2 + 4.5w
Mathematics
1 answer:
koban [17]2 years ago
7 0

Answer:

B

Step-by-step explanation:

took the test hope it helps =\/

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a right triangle has a height of 20 centimeters and a base of 10 centimeters.what is the area of the triangle?
viktelen [127]

Answer:

<u><em>The </em></u><u><em>area of the right triangle</em></u><u><em> is </em></u><u><em>100 centimeters squared.</em></u>

Step-by-step explanation:

<u><em>The </em></u><u><em>formula for the area of a right triangle is:</em></u>

Area = \frac{a*b}{2}

<u><em>Area = (a*b) / 2</em></u>

<u><em>The height of a triangle is represented by a. The base is represented by b.</em></u>

<u><em>Knowing this, we can use what they give us for the values, by </em></u><u><em>plugging them into the formula</em></u><u><em>.</em></u>

<u><em>a is 20 cenimeters</em></u>

<u><em>b is 10 centimeters</em></u>

<u><em>Therefore :</em></u>

Area = \frac{200}{2}

Area = 100

<u><em>So, the </em></u><u><em>area of the right triangle</em></u><u><em> is</em></u><u><em> 100 centimeters squared.</em></u>

4 0
2 years ago
Please help me find the values of a and b so that the system shown had the given solution
Harman [31]

You could just put 0 for a and b.

It would work.

4 0
3 years ago
Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the othe
motikmotik

Answer:

  • 12 km/h and 10 km/h

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

  • Distance = 20 km
  • Time difference = 20 min = 1/3 hr
  • Speed difference  = 2 km/h

<u>As per above info we get following equations:</u>

  • s = d + 2
  • 20/s + 1/3 = 20/d

<u>Substitute s and solve for d:</u>

  • 20/(d + 2) + 1/3 = 20/d

<u>Get rid of fraction by multiplying all terms by 3d(d + 2):</u>

  • 60d + d(d + 2) = 60(d + 2)
  • 60d + d² + 2d = 60d + 120
  • d² + 2d = 120
  • d² + 2d + 1 = 121
  • (d + 1)² = 11²
  • d + 1 = 11
  • d = 10

<u>Find s:</u>

  • s = 10 + 2 = 12

<u>The answer is</u>

  • Masha's speed 12 km/h and Dasha's speed 10 km/h
3 0
3 years ago
How do I solve for x?
notka56 [123]
Solving:
\frac{3+4x}{2} + \frac{5-x}{3} = \frac{29}{6}
Make the Least Common Multiple (2,3,6)
2,3,6\:|2
1,3,3\:|3
1,1,1\:|\underline{2*3=6}


<span>Replace denominators and resolve:
</span>\frac{3+4x}{2} + \frac{5-x}{3} = \frac{29}{6}
\frac{3(3+4x)}{6} + \frac{2(5-x)}{6} = \frac{29}{6}
Cancel the dominators
\frac{3(3+4x)}{\diagup\!\!\!\!6} + \frac{2(5-x)}{\diagup\!\!\!\!6} = \frac{29}{\diagup\!\!\!\!6}
3(3+4x) + 2(5-x) = 29
9 + 12x + 10 - 2x = 29
12x - 2x = 29 - 9 - 10
10x = 20 - 10
10x = 10
x =  \frac{10}{10}
\boxed{\boxed{x = 1}}\end{array}}\qquad\quad\checkmark


7 0
4 years ago
HELP ASAP! BRAINLIST IF CORRECT
joja [24]

Answer:

the last one if I'm correct

Step-by-step explanation:

but im not sure I always second guess

4 0
3 years ago
Read 2 more answers
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