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Effectus [21]
3 years ago
15

Write two equivalent ratios for 1/4

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
8 0
2/8, 3/12, 4/16 that the equivalent ratios to 1/4
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A baker made 20 pies. A Boy Scout troop buys one–fourth of his pies, a preschool teacher buys one–third of his pies, and a cater
n200080 [17]

Answer:

The number of pies does the baker have left is 15.

Step-by-step explanation:

Given : A baker made 20 pies. A Boy Scout troop buys one–fourth of his pies, a preschool teacher buys one–third of his pies, and a caterer buys one–sixth of his pies.

To find : How many pies does the baker have left?

Solution :

Let x be the number of pies does the baker have left.

According to question,

Number of pies buys,

One-fourth =\frac{1}{4}

One-third =\frac{1}{3}

One-sixth =\frac{1}{6}

i.e. x=20-(20\times \frac{1}{4}+20\times \frac{1}{3}+20\times \frac{1}{6})

x=20-(5+20\times \frac{1}{3}+10\times \frac{1}{3})

x=20-(5+\frac{20+10}{3})

x=20-(5+ \frac{30}{3})

x=20-(5+10)

x=20-(15)

x=5

The number of pies does the baker have left is 15.

7 0
3 years ago
Solve the equation p^2 + 4p = 1 by completing the square.
igor_vitrenko [27]

Answer:

p = -2 ±sqrt( 5)

Step-by-step explanation:

p^2 + 4p = 1

Take the coefficient of p

4

Divide by 2

4/2 =2

Square it

2^2 = 4

Add it to each side

p^2 + 4p+4 = 1+4

(p+2) ^2 = 5

Take the square root of each side

sqrt((p+2) ^2) =±sqrt( 5)

p+2 = ±sqrt( 5)

Subtract 2 from each side

p+2-2 = -2 ±sqrt( 5)

p = -2 ±sqrt( 5)

7 0
2 years ago
What is the solution to the system? 1. x-y + 2 z = -7<br> 2. y + z =1<br> 3. x-2 y - 3 z = 0
kvv77 [185]

You'd find this problem easier to understand and do if you'd please list the defining equations vertically and line up variables:

1. x - 1y + 2 z = -7

2. y + 1z = 1

3. x - 2 y - 3 z = 0 Now eliminate the line numbers:

x - 1y + 2 z = -7

1y + 1 z = 1

x - 2 y - 3 z = 0

Let's use the elimination method to eliminate variable z: Seeing that z = 1 - y, we transform the first equation into 1x - 1y + 2(1-y) = -7

and the third into x - 2y - 3(1-y) = 0.

Simplifying 1x - 1y + 2(1-y) = -7

and x - 2y - 3(1-y) = 0,

we get

1x - 2y - 3 + 3y) = 0 and 1x - 1y + 2 - 2y = -7

which in turn simplify to

1x + y = 3 and 1x - 3y = -9

Having eliminated the variable z, we now focus on eliminating x. Mult. the 1st equation by -1, obtaining -1x - 1y = -3. Add this result to 1x - 3y = -9:

0 - 4y = -12, which tells us that y = 3. Subbing 3 for y in 1x + 1y = 3 tells us that x = 0.

All we have left to determine is the vaue of z.

Borrowing Equation 3, from above, we get x - 2 y - 3 z = 0, and into this equation we substitute x = 0 and y = 3: 0 -2(3) - 3z = 0.

Thus, -3z = 6, and z = -2.

The solution set is (0, 3, -2). You should check this by substitution.

3 0
3 years ago
Tom buys a shirt for 22.00 plus 7% sales tax. His cousin buys a shirt for 18.00 plus 4% sales tax. How much do Tom and his cousi
Luda [366]

Answer:

$42.26

Tom spent more on tax ($1.54 vs his cousin's $0.72)

Step-by-step explanation:

Tom: $22 x 1.07 = $23.54

tax spent = 22 x 0.07 = $1.54


Cousin: $18 x 1.04 = $18.72

tax spent = 18 x 0.04 = $0.72


Total= $23.54 + $18.72 = $42.26

6 0
3 years ago
Read 2 more answers
PLS HELP ME I ONLY HAVE 5 MINUTES PLS
Viefleur [7K]

Answer: 71 ft

i hope its the right answeer, do well

3 0
2 years ago
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