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3 years ago

HELLOPPPPPPPPPPPOPPPPPPPPP

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

3 0

(2x+15) +x=90
- 15 = -15
2x+x= 75
3x= 75
3 = 3
x= 25

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Rearrange the steps to solve for the following equation: 2(x-5)=8

OlgaM077 [116]

Answer:

$x=9$

Step-by-step explanation:

$2(x-5)=8$ | Given

$(2x-10)=8$ | Distribute the 2 inside the parentheses

$2x=8+10$ | Add 10 to both sides

$2x=18$ | Add. Optional; not included in your question.

$x=9$ | Divide by 2 on both sides.

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2 years ago

Shay makes 24 liters of homemade vegetable stock. She distributes the stock

ANTONII [103]

Answer:

3 liters

Step-by-step explanation:

pretty simple first grade question, 24/8

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2 years ago

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AB has coordinates A(-5,9) and B(7,- 7). Points P, Q, and I are collinear

VMariaS [17]

Answer:

$\overline{QT}$

Step-by-step explanation:

We want to find the coordinates of a certain point C(x,y) such that C divides $A(x_1,y_1)$ and $B(x_2,y_2)$ in the ratio m:n=3:2

The x-coordinate is given by:

$x=\frac{mx_2+nx_1}{m+n}$

The y-coordinate is given by:

$y=\frac{my_2+ny_1}{m+n}$

AB has coordinates A(-5,9) and B(7,- 7)

We substitute the values to get:

$x=\frac{3*7+2*-5}{3+2}$

$x=\frac{21-10}{5}$

$x=\frac{11}{5}$

and

$y=\frac{3*-7+2*9}{3+2}$

$y=\frac{-21+18}{5}$

$y=-\frac{3}{5}$

Therefore C has coordinates $(\frac{11}{5},-\frac{3}{5})$

The line segment that contains C is $\overline{QT}$

See attachment.

6 0

2 years ago

9.21 <img src="https://tex.z-dn.net/?f=9.21%20%5Cdiv%200.4%20%3D%20" id="TexFormula1" title="9.21 \div 0.4 = " alt="9.21 \di

Whitepunk [10]

Let us do it by converting the 0.4 to a fraction, it has one decimal, so we'll use one zero at the denominator.

and 9.21 to a fraction as well, two decimals, thus two zeros at the denominator then,

$\bf 9.21\div 0.4\\\\
-------------------------------\\\\
0.\underline{4}\implies \cfrac{04}{1\underline{0}}\implies \cfrac{4}{10}\implies \cfrac{2}{5}\qquad \qquad \qquad \qquad 9.\underline{21}\implies \cfrac{921}{1\underline{00}}\\\\
-------------------------------\\\\
9.21\div 0.4\implies \cfrac{921}{100}\div \cfrac{2}{5}\implies \cfrac{921}{100}\cdot \cfrac{5}{2}\implies \cfrac{921}{20}\cdot \cfrac{1}{2}\implies \cfrac{921}{40}
\\\\\\
23\frac{1}{40}\implies 23.025$

3 0

3 years ago

A set of quiz scores is shown in the histogram below. The mean of the data set is 20.2, and the (population) standard deviation

Neko [114]

Answer:

$13$

Step-by-step explanation:

As the mean is 20.2 and the standard deviation is 2.4

The range within the first standard deviation is

(17.8,22.6)

This means that we can safely use the range of (18,22) as we cannot confirm whether the other values fall within the range.

Within this range there are

$2+3+4+3+1=13$

5 0

2 years ago