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4 years ago

Which graph represents 2x - 5 < 15

Mathematics

1 answer:

Nataliya [291]4 years ago

4 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$2x-5 < 15$

Solve for the inequality

Adds 5 both sides

$2x < 15+5$

$2x < 20$

Divide by 2 both sides

$x < 20/2$

$x < 10$

The solution is the interval ------> (-∞,10)

All real numbers less than 10

In a number line , the solution is the shaded area at left of x=10 (open circle)

The graph in the attached figure

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The sum of the masses of two heavyweight boxers is 190kg. ⅘ the heavier boxer is 10kg less than the mass of lighter boxer. Find

ratelena [41]

Answer:

<em>Their masses are 100 kg and 90 kg</em>

Step-by-step explanation:

<u>Equations</u>

We'll solve the problem by setting only one variable. Let's call:

x = weight of the heavier boxer

Since the sum of the masses of both boxers is 190 Kg:

190 - x = mass of the lighter boxer.

It's given that $\frac{4}{5}$ of the mass of the heavier boxer is 10 kg less than the mass of the other, thus:

$\displaystyle \frac{4}{5}x=190-x-10$

Operating:

$\displaystyle \frac{4}{5}x=180-x$

Multiplying by 5:

$\displaystyle 4x=5(180-x)$

$\displaystyle 4x=5*180-5x$

Simplifying:

$\displaystyle 9x=900$

$x=\frac{900}{9}=100$

The heavier boxer's mass is 100 kg. The lighter boxer has a mass of 190-100 = 90 kg.

Their masses are 100 kg and 90 kg

5 0

3 years ago

Can someone please help me

koban [17]

Answer:

x= $\sqrt{y-1$

Step-by-step explanation:

5 0

3 years ago

A scale drawing has a scale of 1/4in:12ft. Find the length on the drawing for each actual length. 15 ft.

leonid [27]

So the ratio is at ¼ : 12, namely the drawing has ¼ inch to an actual 12 feet.

so, what would it be for an actual 15 feet on the drawing then?

$\bf \begin{array}{ccll}
\stackrel{inches}{drawing}&\stackrel{feet}{actual}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{1}{4}&12\\\\
d&15
\end{array}\implies \cfrac{\quad \frac{1}{4}\quad }{d}=\cfrac{12}{15}\implies \cfrac{\quad \frac{1}{4}\quad }{\frac{d}{1}}=\cfrac{12}{15}
\\\\\\
\cfrac{1}{4}\cdot \cfrac{1}{d}=\cfrac{12}{15}\implies \cfrac{1}{4d}=\cfrac{12}{15}\implies 15=48d\implies \cfrac{15}{48}=d\implies \cfrac{5}{16}=d$

6 0

3 years ago

20 POINTS!!!

notsponge [240]

8 - 4(x - y) = 2x + 6
8 - 4x + 4y = 2x + 6
-4x - 2x + 4y = 6 - 8
-6x + 4y = -2
6x - 4y = 2 <====

7 0

4 years ago

Read 2 more answers

What is the measure of the unknown angle?

bulgar [2K]

A. 145
EXPLANATION:
There are 2 angles in the picture.
Both angles mist add up to 180
Simply do 180 - 35 = 145.
Have a good day

8 0

3 years ago

Read 2 more answers