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3 years ago

Please help with this acellus question!

Mathematics

1 answer:

Anna11 [10]3 years ago

6 0

Answer:

The value of x is 5

Step-by-step explanation:

In the given triangle

∵ A segment joining two points lie on the two side

∵ This segment is parallel to the third side

∴ This segment divides the two sides into parts that have the same ratio

→ That means x over 2x - 3 equal to 10 over 14

∵ $\frac{x}{2x-3}$ = $\frac{10}{14}$

→ By using cross multiplication

∴ 10 × (2x - 3) = x × 14

∴ 10(2x) - 10(3) = 14x

∴ 20x - 30 = 14x

→ Add 30 to both sides

∵ 20x - 30 + 30 = 14x + 30

∴ 20x = 14x + 30

→ Subtract 14x from both sides

∵ 20x - 14x = 14x - 14x + 30

∴ 6x = 30

→ Divide both sides by 6

∴ x = 5

∴ The value of x is 5

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Su has 5 times as many marbles as Bertha. When Su gives Bertha 10 marbles, they have the same amount. How many marbles did they

Dafna11 [192]

Answer:

Part A)

The number of marbles that Su has at the beginning is $25$

The number of marbles that Bertha has at the beginning is $5$

Part B)

The number of marbles that Su has at the end is $15$

The number of marbles that Bertha has at the end is $15$

Step-by-step explanation:

Let

x------> number of marbles that Su has at the beginning

y------> number of marbles that Bertha has at the beginning

we know that

$x=5y$ ----> equation A

$x-10=y+10$ ----> equation B

substitute equation A in equation B

$(5y)-10=y+10$

$4y=20$

$y=5$

Find the value of x

$x=5(5)=25$

Part A) How many marbles did they EACH have at the begining?

The number of marbles that Su has at the beginning is $25$

The number of marbles that Bertha has at the beginning is $5$

Part B) How many did they EACH have at the end?

$x-10=y+10$

$25-10=5+10$

$15=15$

therefore

The number of marbles that Su has at the end is $15$

The number of marbles that Bertha has at the end is $15$

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A man that is 6 feet tall and casts a 4 foot shadow is standing next to a flagpole. The

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Step-by-step explanation:

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Alex_Xolod [135]

Answer:

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Step-by-step explanation:

Number of washes

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Answer:

(a) Two x plus eight is greater than negative four

(b) x > -6; number line would be an open circle at -6 and the line pointing in the positive direction to be shaded

Step-by-step explanation:

(a)

Note first that the inequality sign ">" means "greater than", so 2x + 8 > -4 in written language is:

Two x plus eight is greater than negative four

(b)

We solve this just like how we'd solve it if it were 2x + 8 = -4: isolate the variable first.

Subtract 8 from both sides:

2x + 8 - 8 > -4 - 8

2x > -12

Divide by 2:

x > -12/2

x > -6

So, the solution set is all numbers greater than -6.

Drawn on a number line, we would first place an open circle at -6 (because we are using > rather than ≥, which would include the -6 in the solution set). Then, because our solution set includes all numbers greater than -6, we shade in the part of the line that points in the positive direction, so it should include numbers like -5, -4, -3, -2, -1, 0, 1, 2, ... and so on.

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2 years ago

Read 2 more answers

Y = 4-x in standar form?

vichka [17]

X + y = 4
Is how you would write it in standard form.

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3 years ago