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Nostrana [21]
3 years ago
6

Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most

9 models.Which inequality could be used to find the number of models Walt builds.

Mathematics
2 answers:
Yuliya22 [10]3 years ago
7 0

Answer: w lesser than or equal to 4

Step-by-step explanation:

Dwight and Walt are building model cars.

Let d = the number of models built by Dwight.

Let w = the number of models built by Walt.

Dwight builds 7 fewer models than 4 times the number Walt builds. This can be expressed as

d = 4w - 7 - - - - - - - - - 1

Dwight builds at most 9 models. This is expressed as

d lesser than or equal to 9

From equation 1

d = 4w - 7

4w = d + 7

w = (d+7)/4

Assuming Dwight built 9 models

w = (9+7)/4 = 4

Therefore,

Walt builds at most 4 models. It is expressed as

w lesser than or equal to 4

It is shown in the attached photo

lara31 [8.8K]3 years ago
4 0

Answer:

lesser than or equal to 4 i think i tried my hardest sorry if its wrong

Step-by-step explanation:

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A swimming pool is filled with water by using two taps A and B. Alone, it takes tap A 3 hours less than B to fill the same pool.
iris [78.8K]

Answer:

Tap A 3hrs

Tap B 6hrs

Step-by-step explanation:

Let the volume of the swimming pool be Xm^3.

Now, to get the appropriate volume, we know we need to multiply the rate by the time. Let the rate of the taps be R1 and R2 respectively, while the time taken to fill the swimming pool be Ta and Tb respectively.

x/Ta= Ra

x/Tb= Rb

X/(Ra + Rb)= 2

Ta = Tb - 3

From equation 2:

X = 2( Ra + Rb)

Substituting the values of Ra and Rb Using the first set of equations

X = 2( x/Ta + x/Tb)

But Ta = Tb - 3

1/2 = 1/(Tb - 3)+ 1/Tb

0.5 = (Tb + Tb-3)/Tb(Tb - 3)

At this juncture let’s say Tb = y

0.5 = (2y - 3)/y(y - 3)

y(y-3 ) = 4y - 6

y^2 -3y - 4y + 6 = 0

y^2 -7y + 6= 0

Solving the quadratic equation, we get y =

y = Tb = 6hrs or 1hr

We remove one hour as we know that Tap A takes 3hrs left than tap B and there is nothing like negative hours

Now, we get Ta by Tb -3 = 6 - 3 = 3hrs

5 0
3 years ago
What does x equal in -6(8+7x)=-342?
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It equals 20 because if you work it out that would be the answer
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4 years ago
Math worth 10 points thx
bija089 [108]

what thy answer child

6 0
3 years ago
Given: T is the midpoint of JK¯¯¯¯¯JK¯, JK = 5x – 3, and JT = 2x + 1. Determine the length of JK¯¯¯¯¯JK¯
Helen [10]
JK where T is the midpoint.   J >>>>> T >>>>> K. 

JK = 5x - 3
JT = 2x + 1

Because T is the midpoint, it means that  JT = TK
So, JT + TK = JK

(2x + 1) + (2x + 1) = 5x - 3
4x + 2 = 5x - 3
4x - 5x = -3 - 2
-x = -5
x = 5

JK = 5x - 3
JK = 5(5) - 3
JK = 25 -3
JK = 22

The length of JK is 22.
6 0
3 years ago
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Answer:

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Step-by-step explanation:

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