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3 years ago

46 lbs of apples cost $414. How much would 29 lbs cost?

1 answer:

7 0

You first divide 414 by 46 to see how much it costs for 1 lb. After the calculation, you get 9 lb. Then you multiply that by 29 to get 261.

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I am a three-digit number. My second digit is 4 times bigger than the third digit. My first digit is 3 less than my second digit

labwork [276]

Answer:

285

Step-by-step explanation:

use algebra

third is x

second is 4x

first is 4x-3

x+4x+4x-3

9x-3 = x+x+1+x+2

9x-3=3x+3

12x=6, divide x=2

third is 2, sec is 8, first is 5

3 0

3 years ago

What is 5x < 15 can someone sollve it plz

Dmitry [639]

Answer:

x < 3

Step-by-step explanation:

5 0

2 years ago

PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!

Nookie1986 [14]

Answer:

$\large\boxed{y=\dfrac{1}{4}x^2-x-4}$

Step-by-step explanation:

The equation of a parabola in vertex form:

$y=a(x-h)^2+k$

(h, k) - vertex

The focus is

$\left(h,\ k+\dfrac{1}{4a}\right)$

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of a using $k+\dfrac{1}{4a}$

k = -5

$-5+\dfrac{1}{4a}=-4$ add 5 to both sides

$\dfrac{1}{4a}=1$ multiply both sides by 4

$4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4$

$\dfrac{1}{a}=4\to a=\dfrac{1}{4}$

Substitute

$a=\dfrac{1}{4},\ h=2,\ k=-5$

to the vertex form of an equation of a parabola:

$y=\dfrac{1}{4}(x-2)^2-5$

The standard form:

$y=ax^2+bx+c$

Convert using

$(a-b)^2=a^2-2ab+b^2$

$y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5$

use the distributive property: a(b+c)=ab+ac

$y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4$

3 0

3 years ago

Which of the following properties completes the proof?

Tresset [83]

The subtraction property of inequality can be used to proof that x = 7 from x + 8 = 15

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Given that x + 8 = 15

Hence:

x + 8 - 8 = 15 - 8 (subtraction property of inequality)

x = 7

The subtraction property of inequality can be used to proof that x = 7 from x + 8 = 15

Find out more on equation at: brainly.com/question/2972832

#SPJ1

6 0

2 years ago

Find the GCF 0f 12 and 18

melisa1 [442]

Answer:

Step-by-step explanation:

Using Euclid's algorithm, we divide the larger by the smaller. If the remainder is zero, the divisor is the GCF. Otherwise, we replace the larger with the remainder and repeat.

18 ÷ 12 = 1 r 6

12 ÷ 6 = 2 r 0 . . . . the GCF is 6

You can also factor the numbers and see what the common factors are.

18 = 2·3·3

12 = 2·2·3

The common factors are 2·3 = 6.

In the factorizations, we see 2 to powers of 1 and 2, and we see 3 to powers of 1 and 2. The GCF is the product of the common factors to their lowest powers: (2^1)(3^1) = (2)(3) = 6

8 0

2 years ago