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3 years ago

Translate each equation into a verbal sentence 1/4 N + 5 = N - 7

Mathematics

1 answer:

Irina18 [472]3 years ago

5 0

A quarter Multiplied by a number plus five is equivalent to a number Minus seven

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A farmer has 160 bushels of apple to sell at his roadside stand. He sells an average of

Damm [24]

Answer:

He sold 87-3/5 bushels in 6 days , he has 72-2/5 bushels left

Step-by-step explanation:

14-3/5 x 6 = Bushels sold in 6 days

6 0

3 years ago

The sum of the angles in a hexagon is 720°.

qwelly [4]

Given:

The sum of the angles in a hexagon is 720°.

$m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.$

To find:

(a) Equation to solve the value of x.

(b) The value of x.

Solution:

(a)

We have,

$m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.$

The sum of the angles in a hexagon is 720°.

$m\angle A+m\angle B+m\angle C+m\angle D+m\angle E+m\angle F =270^\circ$

$90^\circ+126.87^\circ+(3x)^\circ+90^\circ+143.13^\circ+143.13^\circ =270^\circ$

$90+126.87+(3x)+90+143.13+143.13 =720$

Therefore, the required equation is $90+126.87+(3x)+90+143.13+143.13 =720$ .

(b)

On solving the above equation, we get

$593.13+3x =720$

$3x =720-593.13$

$3x =126.87$

Divide both sides by 3.

$x =\dfrac{126.87}{3}$

$x =42.29$

Therefore, the value of x is 42.29.

(c)

We need to find the measure of angle C.

$m\angle C=(3x)^\circ$

$m\angle C=(3\times 42.29)^\circ$

$m\angle C=126.87^\circ$

Therefore, the measure of angle C is 126.87 degrees.

7 0

3 years ago

Akira and tori Chang received a total of $48,000 from an estate. They decided to put $9,600 in a trust and divide the remainder.

Dahasolnce [82]

Answer:

$24,000

Step-by-step explanation:

After putting in trust they have left:

48000 - 9600 = $38,400

If Tori gets 3/8, Akira will get the remaining (1 - 3/8 = 5/8). So Akira will get:

$\frac{5}{8}*38,400=24,000$

Hence akira will get $24,000

5 0

3 years ago

What is an equivalent ratio for 2 gallons and 3 quarts

In-s [12.5K]

The equivalent is 2/3.

4 0

3 years ago

Read 2 more answers

Let a and b be real constants such that \[x^4 ax^3 3x^2 bx 1 \ge 0\]for all real numbers x. Find the largest possible value of a

tatiyna

Answer:

Infinity

Step-by-step explanation:

Since $x^4 ax^3 3x^2 bx 1 \ge 0$ for all real numbers x, this property is also true for x=1, which tells us that

$1^4 a1^3 3\cdot1^2 b\cdot 1=3ab\ge0$

On the other hand, note that for all real numbers x, it holds that

$x^4x^3x^2x\ge 0$

Therefore, if

$3ab\geq0$

we have tat

$3ab x^{4}x^{3}x^{2}x^{1}1=x^4ax^3 3x^2bx1\ge0$

The last reasoning tells us that the property $x^4 ax^3 3x^2 bx 1 \ge 0$ holds for all real numbers x if an only if $ab\ge0$

Therefore, we can choose arbitrary constants a and b as long as

$ab\ge0$

We can choose a and b such that both positive, both negative or one of the two constants is equal two zero. In the first two cases

$a^2b^2$

can get as big as we want, depending on the constants, and we are done.

8 0

3 years ago