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3 years ago

How many solutions does the following equation have 3(X + 9) = 2x + 54

Mathematics

1 answer:

kotykmax [81]3 years ago

8 0

Answer:

One solution.

Step-by-step explanation:

3(x + 9) = 2x + 54

3x + 27 = 2x + 54

3x + 27 - 2x = 2x + 54 - 2x

x + 27 = 54

x + 27 - 27 = 54 - 27

x = 27

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Create a inequality based on the graph! Please help! I’ll mark brainliest

faltersainse [42]

Answer:

Left black

$x < 13$

Right black

$x \geqslant 7$

Blue

$x \leqslant 1$

Red

$x > 2$

Step-by-step explanation:

NOTES:

bold arrow means (less than or equal to OR more than or equal to

$\leqslant \: or \: \geqslant$

thin arrow mean (less than OR more than)

$< \: or \: >$

AND you can also put any alphabet to represent unknown

thats it hope this helps :)

7 0

3 years ago

What is h^2+6h-27 ????????????

nydimaria [60]

Answer:

Sorry it's acually (h+3)(h-9)

4 0

3 years ago

Pls answer this with work. its in the picture

defon

Answer:

180 pages

Step-by-step explanation:

First you find the slope of the line assuming this is linear. it's just the Rise over Run. so go up 4 over 2 which means the slope is going up two. so do 90 times 2 which is 180. That means Jeff read 180 pages.

3 0

3 years ago

Find the approximate length of EF.

Yuri [45]

Answer:

The correct option is B

Step-by-step explanation:

Given information: ∠F=32°,∠D=54° and DF=18m.

According to the angle sum property of triangle, the sum interior angles of a triangle is 180°.

Using angle sum property, we get

$\angle D+\angle E+\angle F=180^{\circ}$

$54^{\circ}+\angle E+32^{\circ}=180^{\circ}$

$\angle E+86^{\circ}=180^{\circ}$

$\angle E=180^{\circ}-86^{\circ}$

$\angle E=94^{\circ}$

Law of sine:

$\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$

Using law of sine we get

$\frac{\sin D}{d}=\frac{\sin E}{e}$

$\frac{\sin D}{EF}=\frac{\sin E}{DF}$

$\frac{\sin 54^{\circ}}{EF}=\frac{\sin 94^{\circ}}{18}$

$\frac{0.809016994375}{EF}=\frac{0.99756405026}{18}$

Cross multiply,

$0.809016994375\times 18=0.99756405026\times EF$

Divide both sides by 0.99756405026.

$EF=14.5978655656$

$EF\approx 14.6$

The value of EF is 14.6 m. Therefore the correct option is B.

7 0

3 years ago

A gift box is in the shape of a trapezoidal prism with base lengths of 7 inches and 5 inches and a height of 4 inches. The heigh

jek_recluse [69]

First of all there are multiple formula's to get the volume of a trapezoidal prism:

V=(1/2 * (base1 + base2) * h) * height prism

Using the numbers you gave:
base1 = 7 base2 = 5 h = 4 height prism = 8

Putting this into the equation: V=(1/2 * (7 <span>+ 5) * 4) * 8
V= (1/2 * 12 * 4) * 8
V = 24 * 8
V = 192

The volume of the gift box is 191 inches squared.</span>

6 0

4 years ago