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4 years ago

10

What is the value of x in the figure ( 3x +8) 35

1 answer:

DENIUS [597]4 years ago

6 0

(3x + 8)35
(3x × 35) + (8 × 35)
105x = 280
x = 280/105 = x = 56/21

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If someone ate 1/8 of a pizza and someone else ate 1/6 of a pizza how many pieces are left?

Snezhnost [94]

5 2/3 slices are left

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3 years ago

Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).

KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

$2x^2-3x-6=0$

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

$2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}$

We have to find the value of (a+2)(b+2).

Putting the values:

$(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4$

3 0

3 years ago

tonya is twice kevin's age. in three years tonya will be 17. and in another three years, uncle rob will be three times tonyas ag

atroni [7]

Tonya is 14 (17 - 3)
<span>Kevin is 7 </span>
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3 0

3 years ago

Read 2 more answers

At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician

Serhud [2]

Answer:

The value of the test statistic is $t = 1.97$

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 250$

The alternate hypotesis is:

$H_{1} \neq 250$

Our test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the null hypothesis value, $\sigma$ is the standard deviation and n is the size of the sample.

In this problem:

$X = 251.6, \mu = 250, \sigma = 5.4, n = 44$

So

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{251.6 - 250}{\frac{5.4}{\sqrt{44}}}$

$t = 1.97$

The value of the test statistic is $t = 1.97$

4 0

3 years ago

The length of a rectaangle 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle ca

Monica [59]

Answer:

Step-by-step explanation:

We are told that the perimeter is 48 = 2L + 2W. This reduces to

24 = L + W. Next, substitute, one by one, the 3 widths 10 cm, 3.6 cm and w cm:

a) If W = 10 cm, 24 = L + W becomes 24 = L + 10, or L = 14 cm

b) If W = 3.6 cm, 24 = L + W becomes 24 = L + 3.6, or L = 20.6 cm

c) If W = w, 24 L + W becomes 24 = L + w, so that L = (24 - w) cm

4 0

3 years ago