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3 years ago

George is collecting baseball cards he has 29 stacks of cars with 4 in each stack how many cars does he have altogether

Mathematics

2 answers:

Effectus [21]3 years ago

8 0

$29 \times 4 = 116$
116 cars

mario62 [17]3 years ago

7 0

He has 116 cards altogether.

29 stacks of cards with 4 in each stack

29(4)

116

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The label on a 1 1/2pound bag of wildflowers seeds states that it will cover an area of 375 square feet. Based on this informati

BaLLatris [955]

Answer:

250 square feet

Step-by-step explanation:

This problem can be easily solved using ratios.

It says that $1\frac{1}{2}$ pound covers 375 sq. ft.

So, how much would 1 pound cover?

Let 1 pound cover "x" pounds. We can setup up two ratios and equate them. Then cross multiply and solve for x.

Note: Pounds on numerator and Square Feet on denominator

$\frac{1\frac{1}{2}}{375}=\frac{1}{x}\\1\frac{1}{2}*x=375*1\\1\frac{1}{2}x=375\\\frac{3}{2}x=375\\x=\frac{375}{\frac{3}{2}}\\x=375*\frac{2}{3}\\x=250$

Hence, 1 pound of wildflower seeds will cover an area of 250 square feet

4 0

4 years ago

the first four terms in an arithmetic sequence are $x y$, $x - y$, $xy$, and $x/y$, in that order. what is the fifth term?

olga2289 [7]

When the first four terms in an arithmetic sequence are x+y, x-y, xy and x÷y, then the fifth term will be $\frac{123}{40}$

A sequence of numbers in which every term (except the first term) is obtained by adding a constant number to the previous term is called an arithmetic sequence

In given arithmetic sequence

The first term = x+y

The second term = x-y

Then, the common difference= (x-y)-(x+y)

x-y-x-y= -2y

The third term = x-y+(-2y)

x-y-2y= x-3y

In question third term is given as xy

So both are equal

x-3y=xy

-3y=xy-x

-3y=x(y-1)

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

Similarly fourth term will be

x-3y-2y=x-5y

$x-5y=\frac{x}{y}$

substitute the value of x in the equation

$\frac{-3y}{y-1}-5y=\frac{\frac{-3y}{y-1} }{y} \\\frac{-3y}{y-1} -5y=\frac{-3}{y-1}\\ -3y-5y(y-1)=-3\\-3y-5y^{2}+5y=-3\\ -5y^{2} +2y+3=0\\5y^{2} -2y-3=0$