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3 years ago

Oi I NEED HELP PLS 20 POINTS

Mathematics

1 answer:

Cloud [144]3 years ago

4 0

Answer:

f = $-\frac{5}{3}$

Step-by-step explanation:

Multiply both sides of the equation by $-\frac{4}{3}$

f = -4/3 * 5/4

Simplify both sides of the equation.

f = $-\frac{5}{3}$

i hope this helps :)

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Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?

grigory [225]

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Step-by-step explanation:

let cost of pencil = x

and cost of eraser = y

So, we have equations:

$4x+3y=0.37\\3x+4y=0.33$

Solving both equations to find value of x and y

Let:

$4x+3y=0.37\,\,\,eq(1)\\3x+4y=0.33\,\,\,eq(2)$

Multiply eq(1) with 4 and eq(2) with 3 and subtract

$16x+12y=1.48\\9x+12y=0.99\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-\\--------\\7x=0.49\\x=0.07$

Putting value of x in equation 1:

$4x+3y=0.37\\4(0.07)+3y=0.37\\0.28+3y=0.37\\3y=0.37-0.28\\3y=0.09\\y=0.03$

So, x= 0.07 and y = 0.03

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

4 0

3 years ago

37,831 thousand in standard form

saveliy_v [14]

30 000 + 7 000 + 800 + 30 + 1

8 0

3 years ago

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If u = <-7, 6> and v = <-4, 17>, which vector can be added to u + 3v to get the unit vector <1, 0> as the resu

Katarina [22]

Answer:

idk

Step-by-step explanation:

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4 0

3 years ago

The perimeter of a rectangular fence is to be at least 120 feet and no more than 168 feet. If the length of the fence is to be t

Shkiper50 [21]

A rectangle has a perimeter of length + length + width + width.

L = length of the fence.

W = width of the fence.

so the perimeter will be L+L+W+W or 2L+2W or 2(L+W).

now, we know that 120 ⩽ 2(L+W).

we also know that 168 ⩾ 2(L+W)

and we also know that whatever the length is, is twice the width, or L = 2W.

$\bf 120\le 2(L+W)\implies 120\le 2(2W+W)\implies 120\le 2(3W)
\\\\\\
120\le 6W\implies \cfrac{120}{6}\le W\implies \boxed{20\le W}\\\\
-------------------------------\\\\
168\ge 2(L+W)\implies 168\ge 2(2W+W)\implies 168\ge 2(3W)
\\\\\\
168\ge 6W\implies \cfrac{168}{6}\ge W\implies \boxed{28\ge W}\\\\
-------------------------------\\\\
20\le W \le 28$

6 0

4 years ago

the formula for the surface area of.a cube is S = 6x squared where x is the length of one side. find the length of the side of a

Natali [406]

Answer:

5 in

Step-by-step explanation:

S = 6x² is the formula and S = 150 in²

<u>Therefore we have:</u>

150 = 6x²
x² = 150/6
x² = 25
x = √25
x = 5 in

Side of the cube is 5 in

3 0

3 years ago