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Lisa [10]
3 years ago
15

A bag contains purple marbles and red marbles, 34 in total. The number of purple marbles is 2 more than 3 times the number of re

d marbles. How many purple marbles are there?
Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

Firstly, you have to make an expression in terms of x where x represent red marbles. Given that the question says purple marbles is 2 more than 3 times the number of red marbles. So the expression is :

Let red marbles = x,

purple = 2 + 3x

red = x

Next, given that the total marbles in the bag is 34 so you have to add both marbles together and solve the value of x :

2 + 3x + x = 34

4x = 32

x = 32 \div 4

x = 8

Lastly, you have to substitute the value of x into the expression of purple marbles :

Let x = 8,

purpe = 2 + 3(8)

purple = 26

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Helpppp plssssss I need to get my grade up in math
KatRina [158]

Answer: 1.25 square feet

This converts to the improper fraction 5/4

===========================================================

Explanation:

The area of the triangle on the left is base*height/2 = 0.5*2/2 = 0.5 square feet. Note that 1/2 = 0.5

The area of the triangle on the right side is base*height/2 = 0.2*3/2 = 0.75 square feet. This converts to the fraction 3/4

Add up the two results: 0.5+0.75 = 1.25 square feet

-----------

If you need the answer as an improper fraction, then,

1.25 = 1 + 0.25

1.25 = 1 + 1/4

1.25 = 4/4 + 1/4

1.25 = (4+1)/4

1.25 = 5/4

3 0
2 years ago
Given: If X, then Y. If Y, then Z. Y is true. So: X is unknown, Z is unknown X is unknown, Z is true X is false, Z is true X is
kumpel [21]

Answer:

B

Step-by-step explanation:

According to the given situation,

If X, then Y indicates y depends on X

If Y, then Z indicates Z depends on Y

As per the given situation, Y is true also Z will be true on the other hand there no solution about x b as y depends on X

Therefore as per the above explanation, the correct answer is B and hence the same is to be considered

6 0
3 years ago
An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made
Lemur [1.5K]

Answer:

The dimension of box=2ft\times 2ft\times 1ft

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box=lbh=x^2h

4=x^2h

h=\frac{4}{x^2}

Now, surface area of box,A=x^2+4xh

A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}

\frac{dA}{dx}=2x-\frac{16}{x^2}

\frac{dA}{dx}=0

2x-\frac{16}{x^2}=0

2x=\frac{16}{x^2}

x^3=8

x=2

\frac{d^2A}{dx^2}=2+\frac{32}{x^3}

Substitute x=2

\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h=\frac{4}{2^2}=1 ft

Hence, the dimension of box=2ft\times 2ft\times 1ft

5 0
2 years ago
What is the range of these wages £140 £525
ELEN [110]
140-525 would be the range
4 0
2 years ago
the owner of two hotels is ordering towels. he bought 11 hand towels and 22 bath towels for his hotel in Oxford, spending a tota
Blizzard [7]

Answer:

$4.25

Step-by-step explanation:

11+22+54+14=112

$220+$256= 476

476÷112=$4.25

5 0
3 years ago
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