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3 years ago

What inequality represents the verbal expression?

Mathematics

2 answers:

Viktor [21]3 years ago

6 0

The second one, x < 70

horrorfan [7]3 years ago

3 0

Answer:

B. $x$

Step-by-step explanation:

We are asked to choose the correct option that represents the verbal expression: all real numbers less than 70.

First of all we will see the meaning of inequality signs.

$a\leq b$ This sign means a is less than or equal to b.

$a$ This sign means a is less than b.

$a>b$ This sign means a is greater than b.

$a\geq b$ This sign means a is greater than or equal to b.

Now let us represent our given verbal expression in an inequality.

$x$

Upon looking at our given choices we can see that option B is the correct choice.

You might be interested in

A started some business with RS 26,000. After 3 month B joined him with Rs. 16,000. After some more time C joined them with Rs.

viktelen [127]

Answer:

$3$ $months$

Step-by-step explanation:

We know that the total investment period is 1 year, then since A started, A invested Rs 26,000.

Now, since A has been working for 12 months, this is where the effective investment comes in:

A effective investment = Rs 312,000

Then after 3 months, B joined, so:

12 months - 3 months = 9 months in work

B overall invested = Rs 16,000

Since B only worked nine months, we use that to find effective investment:

B effective investment = Rs 144,000

C joined x months since B joined in:

We don't know how much C worked for, but we know that C joined after B:

C investment period = 9 months - x certain amount of months

We know that C's investment is Rs 25,000

Find effective investment:

Rs 25,000 * ( 9 - x ) = Rs 225,000 - 25,000x then to find the total investment:

Add all effective investment:

Rs 312,000 + Rs 144,000 + Rs 225,000 - 25,000x

= Rs 681000 - 25,000x

We now know that C's investment is 225,000 - 25,000x

Find profit share: 225,000 - 25,000x

==> Rs 3,825

The total profit:

Rs 15,453

To get our final answer, we must do this operation:

C investment divided by Total Investment = C's profit and total profit:

( Rs 225,000 - 25,000x) ÷ ( Rs 681,000 - 25,000x ) = Rs 3,825 / Rs 15,453

25 ( Rs 9,000 - 1,000x)/(Rs 681,000 - 25,000x) = (153 * 25) /(153 * 101)

( Rs 9,000 - 1,000x ) ÷ ( Rs 681,000 - 25,000x ) = 1 / 101

Rs 909,000 - 101,000x = Rs 681,000 - 25,000x

Rs 228,000 = 76,000x

Rs 228 = 76x

x = 3

8 0

4 years ago

Given: AACD is isosceles with angle D as the vertex angle. B is the midpoint of AC. AB= x + 5, BC= 2x - 3, and CD = 2x + 6. Find

Marina86 [1]

Answer:

70 units

Step-by-step explanation:

Given triangle ACD

AB = BC
CD = 2x + 6
AB = x + 5
BC = 2x - 3
P = ?

Perimeter is sum of the side lengths:

P = AD + CD + AC

AD = CD because D is vertex and the triangle is isosceles

AC = AB + BC because B is midpoint of AC

Then P is:

P = 2(2x + 6) + (x + 5) + (2x -3) = 4x + 12 + x + 5 + 2x - 3 = 7x + 14

Find the value of x from the AB = BC:

x + 5 = 2x - 3
2x - x = 5 + 3
x = 8

Then find the value of P:

P = 7*8 + 14 = 56 + 14 = 70 units

3 0

3 years ago

The equation (-2, 3) (3, 0) point slope form is

yulyashka [42]

(a) y - 0 = -3/5(x - 3) . . . . . . the 1st selection

(b) y = -3/5x + 9/5 . . . . . . . . the 3rd selection

5 0

4 years ago

If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor of 5, what is the equation of the new function

Scorpion4ik [409]

Answer:g(x)=(1/5x)^2

Step-by-step explanation: A P E X

3 0

3 years ago

PLEASEEEEEE HELPPPPPPPP

Natali5045456 [20]

The formula for the sum of n terms in an arithmetic progression is:
S = n/2 * (2a + (n-1)d)
Here, the common difference, d, is 8 and the first term, a, is 1. Substituting these into the formula, we get:

S = n/2 * (2*1 + 8(n - 1))
S = n + 4n² - 4n
S = 4n² - 3n
The answer is A.

8 0

3 years ago