All categories

3 years ago

Solve the equation below. -3 1/4x + 25=2 1/4x - 13 1/2

Mathematics

1 answer:

frozen [14]3 years ago

5 0

Answer:

x=7

Explanation:

-3 1/4x+25= 2 1/4x-13 1/2

25=5 1/2x-13 1/2

38 1/2=5 1/2x

7=x

You might be interested in

Solve for the variable in the following proportion.

erastovalidia [21]

Answer: b = 10

Step-by-step explanation:

We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).

Ratio of (1/4)/(5/4):

(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2

We want 2/b = 1/5 or 0.20

2/b = 0.20

b = 2/0.20

b = 10

Check: Does 10/2 = (1/4)/(5/4)?

Yes

b is 10

3 0

2 years ago

If a polynomial function f(x) has roots 3+Sqrt(5) and -6, what must be a factor of f(x)

neonofarm [45]

Answer:

The two factors of the given polynomial f(x) are (x - 3 -√5) and (x +6) .

Step-by-step explanation:

Here, the roots of the given polynomial f(x) are

Root 1 = 3 + √5

and Root 2 = (-6)

Now,as we know that if x = a is the root of the any given polynomial p(x), then the expression (x-a) is the FACTOR of the polynomial p(x).

Now, here root 1 : x = 3 + √5

So, x - (3 + √5 ) is the FACTOR of the f(x)

or, ( x - 3 -√5) is the first factor of f(x).

Also, here root 2 : x = (-6)

So, x - (-6 ) = x + 6 is the FACTOR of the f(x)

or, ( x +6 ) is the second factor of f(x).

Hence, the two factors of the given polynomial f(x)

are ( x - 3 -√5) and ( x +6 ) .

5 0

4 years ago

Identify the value of x and the length of each secant segment. HELP PLS options: x = 15; PR = 12; PT = 19 x = 15; PR = 19; PT =

Yakvenalex [24]

Answer:

Option C.

Step-by-step explanation:

From the given figure it is clear that

$PQ=5,QR=7,PS=4,ST=x$

So,

$PR=PQ+QP=5+7=12$

$PT=PS+ST=4+x$

Using Intersecting Secants Theorem, we get

$PQ\times PR=PS\times PT$

$5\times 12=4\times (4+x)$

$60=16+4x$

$60-16+4x$

$44=4x$

Divide both sides by 4.

$11=x$

$PT=4+x=4+11=15$

Since, x = 11; PR = 12; PT = 15, therefore the correct option is C.

8 0

3 years ago

The number of blueberries in a blueberry muffin baked by EarthHarvest Bakeries can range from 20 to 40 blueberries. (a) Use the

taurus [48]

Answer:

a) Standard deviation: 3 bluberries

b) We assume, to apply this rule, that the distribution of blueberries per muffin has a bell-curve distribution, approximately normal.

Step-by-step explanation:

We know that the number of blueberries in a blueberry muffin baked by EarthHarvest Bakeries can range from 20 to 40 blueberries.

a) If we use the Empirical Rule 68-95-99.7, specifically the last term, we have that:

- 99.7% of the data will fall between 3 standard deviations from the mean.

Then, if we consider the range of 20 to 40 containing 99.7%, we can calculate the standard deviation as:

$UL-LL=2*(3\sigma)\\\\40-20=6\sigma\\\\ \sigma=20/6=3.33\approx 3$

8 0

3 years ago

June needs 48 gallons of punch

LenaWriter [7]

Answer:

David needs 36.style="color:rgb(72,72,72);background-color:transparent;"> gallons of punch for a party and has two different coolers to carry it in. The bigger cooler is 5. times as large as the smaller cooler.

8 0

3 years ago

Read 2 more answers