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MA_775_DIABLO [31]
3 years ago
9

Which expression is equivalent to -42 x -1.5

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
8 0

Answer:

7*-6x-1.5

Step-by-step explanation:

Schach [20]3 years ago
4 0

Answer:

beesechuurger

Step-by-step explanation:

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Isabel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $46 and costs an a
zaharov [31]

The missing part of the question is "For what amount of driving do the two plans cost the same"

The amount of driving that do the two plans cost the same is 450 miles

Step-by-step explanation:

Isabel will rent a car for the weekend. She can choose one of two plans

  • The first plan has an initial fee of $46 and costs an additional $0.13 per mile driven
  • The second plan has an initial fee of $55 and costs an additional $0.11 per mile driven

We need to find for what amount of driving do the two plans cost the same

Assume that she will drive for d miles

The first plan:

∵ The initial fee is $46

∵ The additional cost is 0.13 per mile

∵ She will drive for d miles

- The cost of her trip is the sum of $46 and the product of

   0.13 and d

∴ The cost = 46 + 0.13 d ⇒ (1)

The second plan:

∵ The initial fee is $55

∵ The additional cost is 0.11 per mile

∵ She will drive for d miles

- The cost of her trip is the sum of $55 and the product of

   0.11 and d

∴ The cost = 55 + 0.11 d ⇒ (2)

∵ The cost of the two plans is the same

- Equate (1) and (2) to find d

∴ 46 + 0.13 d = 55 + 0.11 d

- Subtract 46 from both sides

∴ 0.13 d = 0.11 d + 9

- Subtract 0.11 d from both sides

∴ 0.02 d = 9

- Divide both sides by 0.02

∴ d = 450

The amount of driving that do the two plans cost the same is 450 miles

Learn more:

You can learn more about the word problems in brainly.com/question/3950386

#LearnwithBrainly

5 0
3 years ago
James invested $250 in a savings account for 16 years. At the end of 16 years, his savings account had $700 in it.
Nikolay [14]
I=Prt
700=(250)*r*(16)
700=4000*r
700/4000-(4000*r)/4000
0.175=r
17.5%=r

The simple interest rate is 17.5%
5 0
3 years ago
Tim Has 480 Pokemon cards in his collection, which he arranges in his album. Each page of his album holds 12 cards. The album ha
Feliz [49]
480/12=40 then 40-35=5 5x12=60 60 cards left
7 0
3 years ago
Read 2 more answers
Make s, u subject of the formula<br><img src="https://tex.z-dn.net/?f=v%5E%7B2%7D%20%3D%20u%20%7B%7D%5E%7B2%7D%20%2B%202as" id="
Romashka [77]

Answer:

s = \frac{v^2-u^2}{2a}

Step-by-step explanation:

Given

v² = u² + 2as ( subtract u² from both sides )

v² - u² = 2as ( divide both sides by 2a )

\frac{v^2-u^2}{2a} = s

Given

v² = u² + 2as ( subtract 2as from both sides )

v² - 2as = u² ( take the square root of both sides )

± \sqrt{v^2-2as} = u

6 0
3 years ago
Read 2 more answers
Please help, this chapter was on derivatives...
weqwewe [10]

(3) Differentiating both sides of

2x^{3/2} + y^{3/2} = 29

with respect to <em>x</em> gives

3x^{1/2} + \dfrac32 y^{1/2} \dfrac{\mathrm dy}{\mathrm dx} = 0

Solve for d<em>y</em>/d<em>x</em> :

\dfrac32 y^{1/2} \dfrac{\mathrm dy}{\mathrm dx} = -3x^{1/2} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{-3x^{1/2}}{\frac32y^{1/2}} = \dfrac{-2x^{1/2}}{y^{1/2}} = -2\sqrt{\dfrac xy}

Then the slope of the tangent line to the curve at (1, 9) is

\dfrac{\mathrm dy}{\mathrm dx} = -2\sqrt{\dfrac19} = -\dfrac23

The equation of the tangent line would then be

<em>y</em> - 9 = -2/3 (<em>x</em> - 1)   ==>   <em>y</em> = -2/3 <em>x</em> + 29/3

(4) The slope of the tangent line to

y=\dfrac{ax+1}{x-2}

at a point <em>(x, y)</em> on the curve is

\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{a(x-2)-(ax+1)}{(x-2)^2} = -\dfrac{2a+1}{(x-2)^2}

When <em>x</em> = -1, we have a slope of 2/3, so

-(2<em>a</em> + 1)/(-1 - 2)² = 2/3

Solve for <em>a</em> :

-(2<em>a</em> + 1)/9 = 2/3

2<em>a</em> + 1 = -18/3 = -6

2<em>a</em> = -7

<em>a</em> = -7/2

7 0
2 years ago
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