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maria [59]
3 years ago
14

Solve for −4.2y+2.1>−2.52

Mathematics
1 answer:
Alchen [17]3 years ago
4 0

Answer:

y < 1.1

Step-by-step explanation:

<u>Step 1:  Subtract 2.1 from both sides </u>

-4.2y + 2.1 - 2.1 > -2.52 - 2.1

<em>-4.2y > -4.62</em>

<em />

<u>Step 2:  Divide both sides by -4.2</u>

-4.2y / -4.2 > -4.62 / -4.2

<u><em>Since you divided by a negative, that flips the sign.</em></u>

<em>y < 1.1 </em>

Answer:  y < 1.1

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One number is 13 more than another number. If the sum of the two numbers is 15, find the two numbers
Snowcat [4.5K]
X - the first numberx + 13 - the second number
The equation:
x + x + 13 = 152x + 13 = 15    |-132x = 2    |:2x = 1
x + 13 = 1 + 13 = 14
Answer: 1 and 14

6 0
3 years ago
1 (15 Points]. Prove the following statement: is divisible by 3 if only if it is a sum of three consecutive integers. be ddvisbk
Alinara [238K]

Answer:

<em>First.</em> Let us prove that the sum of three consecutive integers is divisible by 3.

Three consecutive integers can be written as k, k+1, k+2. Then, if we denote their sum as n:

n = k+(k+1)+(k+2) = 3k+3 = 3(k+1).

So, n can be written as 3 times another integer, thus n is divisible by 3.

<em>Second. </em>Let us prove that any number divisible by 3 can be written as the sum of three consecutive integers.

Assume that n is divisible by 3. The above proof suggest that we write it as

n=3(k+1)=3k+3=k + k + k +1+2 = k + (k+1) + (k+2).

As k, k+1, k+2 are three consecutive integers, we have completed our goal.

Step-by-step explanation:

4 0
2 years ago
Which relationship describes angles 1 and 2?
galina1969 [7]
Angle 1 and 2 are vertical angles

Hope this helps :)
8 0
3 years ago
Read 2 more answers
4) 8x+4y=-8<br> -x + 4y = -17
horrorfan [7]

Answer:

x=1

y=-4

Step-by-step explanation:

  1. find x by making y to 0
  2. sub x into equation
  3. find y

8 0
3 years ago
Monique's son just turned 2 years old and is 34 inches tall. Monique heard that the average boy will grow approximately 2 5/8 in
tatuchka [14]

Answer:

The equation representing how old Monique son is \mathbf{a = 2 + \dfrac{8}{21}(q-34)}

Step-by-step explanation:

From the given information:

A linear function can be used to represent the constant growth rate of Monique Son.

i.e.

q(t) = \hat q \times t + q_o

where;

q_o = initial height of Monique's son

\hat q = growth rate (in)

t = time

So, the average boy grows approximately 2 5/8 inches in a year.

i.e.

\hat q = 2 \dfrac{5}{8} \ in/yr

\hat q =  \dfrac{21}{8} \ in/yr

Then; from the equation q(t) = \hat q \times t + q_o

34 = \dfrac{21}{8} \times 0 + q_o

q_o = 34\  inches

The height of the son as a function of the age can now be expressed as:

q(t) = \dfrac{21}{8} \times t + 34

Then:

Making t the subject;

q - 34 = \dfrac{21}{8} \times t

t = \dfrac{8}{21}(q-34)

and the age of the son  i.e. ( a (in years)) is:

a = 2 + t

So;

\mathbf{a = 2 + \dfrac{8}{21}(q-34)}

SO;

if q (growth rate) = 50 inches tall

Then;

\mathbf{a = 2 + \dfrac{8}{21}(50-34)}

\mathbf{a = 2 + \dfrac{8}{21}(16)}

a = 2 + 6.095

a = 8.095 years

a ≅ 8 years

i.e.

Monique son will be 8 years at the time Monique is 50 inches tall.

8 0
2 years ago
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