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1 year ago

Use the distributive property to solve the equation 4x/5-x=x/10-9/2

Mathematics

1 answer:

Oksana_A [137]1 year ago

4 0

Answer:

$\Huge\boxed {x = 15}$

Step-by-step explanation:

⟾Collect like terms

8x - 10x = x - 45

⟾Move the variable to the left

- 2x = x - 45

⟾Collect like terms again

- 2x - x = - 45

⟾Divide both sides by -3

- 3x = - 45

⟾ x = 45 ÷ 3

x = 15.

Hope it's helps you

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What is the value of b and the missing symbol in Jamilla’s inequality?

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Answer:

$b=1, \geq$

Step-by-step explanation:

we know that

The absolute value function has two solutions

Observing the graph

the solutions are

$x\geq 1$ and $x\leq -3$

First solution (case positive)

assume the symbol of the first solution and then compare the results

$\left|x+b\right|\ge2$

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$x\ge2-b$

$2-b=1\\b=2-1\\ b=1$

Second solution (case negative)

$-(x+b)\ge2$

Multiply by -1 both sides

$(x+b)\leq-2$

substitute the value of b and compare the results

$(x+1)\leq-2$

$x\leq-2-1$

$x\leq-3$ -------> is correct

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2 years ago

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A student estimates the weight of astronauts on the moon by multiplying their weight by the decimal 0.16666....what fraction can

Elden [556K]

Let $x = 1.66666...$ ....(1)

Multiply both sides of equation (1) by 10.

$10x = 1.666666....$ .... (2)

Multiply both sides of equation (1) by 100.

$100x = 16.66666....$ ... (3)

Subtract equation (2) from equation (3)

$100x - 10x = 16.66666...- 1.66666...$

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$x= \frac{15}{90} = \frac{1}{6}$

Hence, the required fraction form is $\frac{1}{6}$ .... Answer.

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1 year ago

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Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and

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Answer:

1.25x + 1.5y=25

Step-by-step explanation:

let the number of lip balms that can be bought be x and the notebooks be y then their total cost is 1.25x + 1.5y. The total $25 there for the equation becomes 1.25x + 1.5y=25.

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1 year ago

Triangle L N M is shown. Angle L N M is a right angle. An altitude is drawn from point N to point O on side L M, forming a right

zaharov [31]

Answer:

Therefore the value of k = 6.

Step-by-step explanation:

Given:

LN = m

NM = l

OM = k

NO = 4

LO = 8

LM = 8 + k and

Δ LNM ,Δ LON and Δ MON are right Triangle.

To Find :

Om = k = ?

Solution:

In Right angle Triangle By Pythagoras Theorem we have,

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

So, In Right angle Triangle Δ LON we have,

LN² = ON² + OL²

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m² = 80 ............( 1 )

Now in Right angle Triangle Δ MON we have,

MN² = ON² + MO²

l² = 4² + k² ....................( 2 )

Now In Right angle Triangle Δ LNM we have,

LM² = LN² + MN²

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Substituting equation 1 and equation 2 in equation 3

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Applying (A+B)² = A² +2AB + B² we get

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Therefore the value of k = 6.

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Romashka-Z-Leto [24]

Answer:

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3. laying pipe our conduit

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Step-by-step explanation:

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