All categories

3 years ago

1/2 times ? Equals 3 1/2

Mathematics

1 answer:

stepan [7]3 years ago

4 0

Answer:

Step-by-step explanation:

1/2(x)=7/2

divide both sides by 1/2

x= $\frac{7}{2}$ ÷ $\frac{1}{2}$

x= $\frac{7}{2}$ · $\frac{2}{1}$

x=14/2=7

You might be interested in

What is 40.15 divided by 7.3, written as a decimal?

Cloud [144]

The answer is 5.5.
hope this helps!!

5 0

3 years ago

How do you solve f (x)=-3 (x+2)+2

Allushta [10]

Answer:

−1/3y+−4/3

Step-by-step explanation:

We need to solve for x.

How? Easy! :D

Step one: Flip the equation. (In class we call it the 'flip-flop'.) When you do this, you should have your equation look like this:

−3x−4=y

Step two: Add 4 to both sides of the equation. When you do this step, your problem should look like this:

−3x−4+4=y+4

−3x=y+4

Step three: Divide both sides by -3.

-3x/-3 = y+4/-3.

Step four: Wrap-up. What the answer is.

x = -1/3y + -4/3

Final step: OUR ANSWER!

x = -1/3 + -4/3

Hope this helped! :D

5 0

3 years ago

In 1998 the population of a city was 100,000. Then each year for the next five years the population increases by 3%. Write and e

sertanlavr [38]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ population = 100,000 x 1.03^5

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

3 0

3 years ago

We are given a sequence of five non-zero numbers, where the sum of each term and its neighboring terms is 15 or 25. Find the sum

PSYCHO15rus [73]

We have a sequence that meets the given criteria, and with that information, we want to get the sum of all the terms in the sequence.

We will see that the sum tends to infinity.

So we have 5 terms;

A, B, C, D, E.

We know that the sum of each term and its neighboring terms is 15 or 25.

then:

A + B + C = 15 or 25
B + C + D = 15 or 25
C + D + E = 15 or 25

Now, we want to find the sum of all the terms in the sequence (not only the 5 given).

Then let's assume we write the sum of infinite terms as:

$a_1 + a_2 + a_3 + a_4 + a_5 + a_6 + ...$

Now we group that sum in pairs of 3 consecutive terms, so we get:

$(a_1 + a_2 + a_3) + (a_4 + a_5 + a_6) + ...$

So we will have a sum of infinite of these, and each one of these is equal to 15 or 25 (both positive numbers). So when we sum that infinite times (even if we always have the smaller number, 15) the sum will tend to be infinite.

Then we have:

$(a_1 + a_2 + a_3) + (a_4 + a_5 + a_6) + ... \to \infty$

If you want to learn more, you can read:

brainly.com/question/21885715

3 0

2 years ago

Please solve these questions for me. i am having a difficult time understanding.

s2008m [1.1K]

Answer:

1) AD=BC(corresponding parts of congruent triangles)

2)The value of x and y are 65 ° and 77.5° respectively

Step-by-step explanation:

Given : AD||BC

AC bisects BD

So, AE=EC and BE=ED

We need to prove AD = BC

In ΔAED and ΔBEC

AE=EC (Given)

$\angle AED = \angel BEC$ ( Vertically opposite angles)

BE=ED (Given)

So, ΔAED ≅ ΔBEC (By SAS)

So, AD=BC(corresponding parts of congruent triangles)

Hence Proved

Refer the attached figure

$\angle ABC = 90^{\circ}$

In ΔDBC

BC=DC (Given)

So, $\angle CDB=\angle DBC$ (Opposite angles of equal sides are equal)

So, $\angle CDB=\angle DBC=x$

So, $\angle CDB+\angle DBC+\angle BCD = 180^{\circ}$ (Angle sum property)

x+x+50=180

2x+50=180

2x=130

x=65

So, $\angle CDB=\angle DBC=x = 65^{\circ}$

Now,

$\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90$

So, $\angle ABD=90-x=90-65=25^{\circ}$

In ΔABD

AB = BD (Given)

So, $\angle BAD=\angle BDA$ (Opposite angles of equal sides are equal)

So, $\angle BAD=\angle BDA=y$

So, $\angle BAD+\angle BDA+\angle ABD = 180^{\circ}$ (Angle Sum property)

y+y+25=180

2y=180-25

2y=155

y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

8 0

3 years ago