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3 years ago

A number b minus 4.2 is less than −7.5.

Mathematics

1 answer:

bekas [8.4K]3 years ago

4 0

B-4.2< -7.5

Explanation-

They say b minus 4.2 so we set it up like b-4.2 then it says less than so we use <

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Write the following number by entering one digit in each box of the place value chart.

ratelena [41]

Answer:

see the attached

Step-by-step explanation:

Each digit goes in the place corresponding to its place value.

When no digit has a given place value, a placeholder is used. That is the purpose of zero, a great invention in the history of mathematics. It makes place-value number systems possible.

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3 years ago

A goat is attached to a 12 foot long leash pulled tight and rotated through an angle of 230 degrees

DochEvi [55]

Answer:

what is the question?

Step-by-step explanation:

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4 years ago

Consider a rectangle of length L inches and width W inches. Find a formula for the perimeter of the rectangle. Use upper case le

malfutka [58]

Answer:

a) P=2(L+W)

b) $\frac{dp}{dt}=2\frac{dL}{dt}+2\frac{dW}{dt}$

c)-2 inch/hour

Step-by-step explanation:

given:

length of the rectangle as L inches

width of the rectangle as W inches

a) The perimeter is defined as the measure of the exterior boundaries

therefore, for the rectangle the perimeter 'P' will be

P= length of AB+BC+CD+DA (A,B,C and D are marked on the figure attached)

Now from figure

P= L+W+L+W

=> P=2L+2W .....................(1)

b)now dp/dt can be found as by differentiating the equation (1)

$\frac{dP}{dt}=2(\frac{dL}{dt} )+2(\frac{dW}{dt} )$ .............(2)

c)Now it is given for the part c of the question that

L=40 inches

W=104 inches

dL/dt=2 inches/hour

dW/dt= -3 inches/hour (here the negative sign depicts the decrease in the dimension)

substituting the above values in the equation (2) we get

$\frac{dP}{dt}=2(2)+2(-3)$

$\frac{dP}{dt}=4-6=-2 inches/hour$

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3 years ago

A rectangular poster has an area of 190 inches squared. The height of the poster is one inch less than twice its width. Find the

Annette [7]

Set the height to h, and the width to w.

We know that wh=190 and h=2w-1.

Substituting 2w-1 for h, we have:

w(2w-1)=190

So:
2w^2-w-190=0

Factoring this equation, we get (2w+19)(w-10)=0. The solutions to this equation are -9.5 and 10, but clearly the width must be positive, Substituting 10 for the width, we get 10*2-1=19 for the height.

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3 years ago

Slove the simoltanous equation by using substitution or elimination method 5x-3y=1 3x+2y=1

xxTIMURxx [149]

By substitution method 

5x - 3y =1

3x + 2y = 1

_____o____o____

$5x - 3y = 1 \\ 5x = 1 + 3y \\ x = \frac{1 + 3y}{5}$

______o____o_____

$3x + 2y = 1 \\ 3( \frac{1 + 3y}{5} ) + 2y = 1 \\ \frac{3 + 9y}{5} + 2y = 1 \\ \frac{3 +9y + 10y}{5} = 1 \\ \frac{3 + 19y}{5} = 1 \\ 3 + 19y = (1)(5) \\ 3 + 19y = 5 \\ 19y = 5 - 3 \\ 19y = 2 \\ y = \frac{2}{19}$

______o_____o____

$x = \frac{1 + 3y}{5} = \frac{1 + 3 \frac{2}{19} }{5} \\ x = \frac{1 + \frac{6}{19} }{5} = \frac{ \frac{19 + 6}{19} }{5} = \frac{ \frac{25}{19} }{5} \\ x = \frac{25}{19} \div 5 \\ x = \frac{25}{19} \times \frac{1}{5} \\ x = \frac{5}{19}$

I hope I helped you^_^

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3 years ago