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statuscvo [17]
3 years ago
9

While shopping for clothes, Daniel spent $34 less than 3 times what Jaclyn spent. Daniel spent $14. Write and solve an equation

to find how much Jaclyn spent. Let x represent how much Jaclyn spent.
___x - ___ = ___

Jaclyn spent $____
Mathematics
1 answer:
topjm [15]3 years ago
4 0

Answer: Jaclyn spent $48

Step-by-step explanation:

3x - 34 = 14

3x = 14+34

X = 48/3 = 16

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If an arrow is shot upward on Mars with a speed of 52 m/s, its height in meters t seconds later is given by y = 52t − 1.86t2. (R
Lapatulllka [165]

Answer:

A. (I) v = 46.42 m/s; (ii) v = 47.35 m/s; (III) v = 48.09 m/s; (iv) v = 48.26 m/s; (v) v = 58.28 m/s

B. v = 48.28 m/s

Note: the question is missing some values. The full Question is provided below:

If an arrow is shot upward on Mars with a speed of 52 m/s, its height in meters t seconds later is given by y = 52t − 1.86t2. (Round your answers to two decimal places.)

(a) Find the average speed over the given time intervals. (i) [1, 2] m/s (ii) [1, 1.5] m/s (iii) [1, 1.1] m/s (iv) [1, 1.01] m/s (v) [1, 1.001] m/s

(b) Estimate the speed when t = 1. m/s

Step-by-step explanation:

Height, y = 52t - 1.86t²

Velocity = ∆y/∆t = 52 - 1.86 * 2t = 52- 3.72t

A. Average velocity = (v1 + v2)/2

(i) At t = 1, 2

Average velocity = (52 - 3.72*1 + 52 -3.72*2)/2 = 46.42 m/s

(ii) At t = 1,1.5

Average velocity = (52 - 3.72*1 + 52 - 3.72*1.5)/2 = 47.35 m/s

(iii) At t = 1,1.1

Average velocity = (52 - 3.72*1 + 52 -3.72*1.1)/2 = 48.09m/s

(iv) At to = 1, 1.01

Average velocity = (52 - 3.72*1 + 52 - 3.72*1.01)/2 = 48.26 m/s

(iv) At t = (1, 1.001)s

Average velocity = (52 - 3.72*1 + 52 - 3.72*1.001)/2 = 48.28 m/s

B. Speed at t = 1s

Velocity = 52 - 3.72 * 1 = 48.28 m/s

6 0
3 years ago
Find the area. The figure is not drawn to scale.
Natalka [10]

Answer:

  1188 in²

Step-by-step explanation:

The area of a parallelogram is the product of its base length and height.

  A = bh = (36 in)(33 in) = 1188 in²

6 0
3 years ago
35% of ___ days is 42 days
azamat
(35/100)*42= 14.7 days.

This principle apples to all form conversion that requires finding a percentage of a number.
5 0
3 years ago
What in slope-intercept form, can go through the line ( a, 2a) and (-5a, 6a)
Wittaler [7]

Answer:

  • y = -2/3x + 8/3a

Step-by-step explanation:

<u>Given points</u>

  • (a, 2a) and (-5a, 6a)

<u>Slope-intercept form</u>

  • y = mx + b

<u>Slope of the line is</u>

  • m = (6a - 2a)/( -5a - a) = 4a/(-6a) = - 2/3

<u>The y-intercept is:</u>

  • 2a = -2/3*a + b
  • b = 2a + 2/3a
  • b= 8/3a

<u>So the line is:</u>

  • y = -2/3x + 8/3a

7 0
3 years ago
Read 2 more answers
Which matrix represents the system of equations shown below? 2x-y=-6 and x-6y=13​
dezoksy [38]

Answer: D

<u>Step-by-step explanation:</u>

The first matrix contains the coefficients of the x- and y- values for both equations (top row is the top equation and the bottom row is the bottom equation. The second matrix contains what each equation is equal to.

\begin{array}{c}2x-y\\x-6y\end{array}\qquad \rightarrow \qquad \left[\begin{array}{cc}2&-1\\1&-6\end{array}\right] \\\\\\\begin{array}{c}-6\\13\end{array}\qquad \rightarrow \qquad \left[\begin{array}{c}-6\\13\end{array}\right]

The product will result in the solution for the x- and y-values of the system.

6 0
3 years ago
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