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3 years ago

Create an equation that meets the following criteria:

Mathematics

1 answer:

ira [324]3 years ago

8 0

Answer:

4x+9=x+15

x = 2

Step-by-step explanation:

Let's solve this equation I just made:

4x + 9 = x + 15

Subtract 9 from each side:

4x = x + 6

Subtract x from each side:

3x = 6

Divide each side by 3:

x = 2

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One canned juice drink is 20% orange juice, another is 5% orange juice, how many liters of each should be mixed together in orde

gavmur [86]

Answer:

11 L of 20% juice and 4 L of 5% juice

Step-by-step explanation:

Let

x L = amount of 20% juice

y L = amount of 5% juice

20% juice:

Amount = x L

Amount of juice $=0.2x$ L

5% juice:

Amount = y L

Amount of juice $=0.05y$ L

16% juice:

Amount = 15 L

Amount of juice $=0.16\cdot 15=2.4$ L

We mixed x L of 20% juice with y L of 5% juice to get 15 L of 16% juice, so

$x+y=15$

and

$0.2x+0.05y=2.4$

From the first equation:

$x=15-y$

Substitute it into the second equation:

$0.2(15-y)+0.05y=2.4\\ \\20(15-y)+5y=240\\ \\300-20y+5y=240\\ \\-20y+5y=240-300\\ \\-15y=-60\\ \\15y=60\\ \\y=4\ L\\ \\x=15-4=11\ L$

4 0

4 years ago

The base of a square prism has an area of 16 in. The

Inessa05 [86]

Surface Area of square prism = 896 inches^2

Step-by-step explanation:

Base of a square prism has an area = 16 in

Height of prism = 6 in

Surface Area of square prism = ?

The formula used to calculate the Surface Area of square prism is:

$Surface\,\,Area=2a^2+4ah$

where a is base area and h is height.

Putting Values to find Surface area:

$Surface\,\,Area=2a^2+4ah\\Surface\,\,Area=2(16)^2+4(16)(6)\\Surface\,\,Area=2(256)+4(96)\\Surface\,\,Area=512+384\\Surface\,\,Area=896$

So, Surface Area of square prism = 896 inches^2

Keywords: Surface Area of square prism

Learn more about Surface Area of square prism at:

#learnwithBrainly

7 0

3 years ago

Read 2 more answers

What is the slope of a line that goes through (-3,7) and (2.1)? * -6/5 оооо 8/5

OlgaM077 [116]

Answer:

-6/5

Step-by-step explanation:

The slope is given by the formula ...

m = (y2 -y1)/(x2 -x1)

m = (1 -7)/(2 -(-3)) = -6/5

8 0

3 years ago

Use the diagram of trusses for a railroad bridge.

alexandr402 [8]

You should take off E and add C and D because perpenidcular bisector means not only does it form a right angle to the line, it also bisects it, or cuts it into 2 equal portions. Also, If you look at triangles BED and BEF, they are congruent as both have right angles and equal sides BE, and DE = EF. So, BD = BF.

E is wrong because you don't know if line AC is perpendicular to DA, nor do you know if it's parallel to DF. And you don't know if DA is parallel to BE either. You ONLY know that BE is the perpendicular bisector of DF.

3 0

3 years ago

Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.

RUDIKE [14]

$\bf \begin{array}{llll}
term&value\\
---&------\\
1&-10\\
2&-10-2\\
3&-10-2-2\\
4&-10-2-2-2\\
5&-10-2-2-2-2\\
6&-10-2-2-2-2-2\\
7&-10-2-2-2-2-2-2\\
8&-10-2-2-2-2-2-2-2\\
9&-10-2-2-2-2-2-2-2-2\\
10&-10-2-2-2-2-2-2-2-2-2
\end{array}$

notice then, is clearly, -10, -12, -14, -16, -18 and so on.

5 0

3 years ago

Read 2 more answers