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3 years ago

What is 8a = 5a + 21 please and thank you

Mathematics

2 answers:

Sergeeva-Olga [200]3 years ago

3 0

8a-5a=21
3a=21
a=21/3
a=7

djyliett [7]3 years ago

3 0

Here's the answer to your question

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Kyla used 550 grams of wool to knit a sweater, a hat, and a scarf. For the hat she used 5 times less wool than the sweater and 5

Brrunno [24]

This is the concept of algebra, to calculate the proportion of wool in each item we proceed as follows;
Let the amount of wool used for hat be x
amount of wool in sweater will be 5x
the amount of wool used in scarf will be x-5
therefore the total amount of wool will be:
x+5x+(x-5)=550
x+5x+x-5=550
7x-5=550
7x=550+5
7x=555
hence;
x=555/7
x=79
the amount used in hat x=79g
amount used in sweater 5x=395g
amount used in scarf=79-5=74g

5 0

3 years ago

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible

3241004551 [841]

Answer:

Option 2 - 3.2 inches.

Step-by-step explanation:

Given : The lengths of two sides of a right triangle are 5 inches and 8 inches.

To find : What is the difference between the two possible lengths of the third side of the triangle?

Solution :

According to question, it is a right angle triangle

Applying Pythagoras theorem,

$H^2=P^2+B^2$

Where, H is the hypotenuse the longer side of the triangle

P is the perpendicular

B is the base

Assume that H=8 inches and B = 5 inches

Substitute the value in the formula,

$8^2=P^2+5^2$

$64=P^2+25$

$P^2=64-25$

$P^2=39$

$P=\sqrt{39}$

$P=6.24$

Assume that P=8 inches and B = 5 inches

Substitute the value in the formula,

$H^2=8^2+5^2$

$H^2=64+25$

$H^2=89$

$H=\sqrt{89}$

$H=9.43$

Therefore, The possible length of the third side of the triangle is

$L=H-P$

$L=9.43-6.24$

$L=3.19$

Therefore, The difference between the two possible lengths of the third side of the triangle is 3.2 inches.

So, Option 2 is correct.

3 0

4 years ago

Read 2 more answers

Provide steps please

KengaRu [80]

Answer:

5 cm

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = lbh ( l is length, b is breadth and h is height )

Here l = 20, h = 12, V = 1200 and b is to be found, thus

20 × b × 12 = 1200, that is

240b = 1200 ( divide both sides by 240 )

b = 5

7 0

3 years ago

The ratio of the number of mystery books to the number of science fiction books is 4:3. The ratio of the number of science ficti

vladimir1956 [14]

Given is the number of science fiction books = 48

Let the number of mystery books be = x

Let the number of biographies be = y

Ratio of the number of mystery books to the number of science fiction books is 4:3 so $\frac{4}{3}= \frac{x}{48}$

= $3x=48\times4$

$x=64$

Ratio of the number of science fiction books to the number of biographies is 4:5 so $\frac{4}{5}=\frac{48}{y}$

= $4y=5\times48$

$y=60$

Hence there are 48 science fiction books, 64 mystery books and 60 biographies.

So total number of books are = $48+64+60=172$

7 0

3 years ago

How to write 2.31818 as a mixed fraction

Elenna [48]

Answer:

$2\frac{15909}{5000}$

Step-by-step explanation:

To make $2.31818$ into a fraction, you must first move it to the numerator and make 1 the denominator.

$\frac{2.31818}{1}$

And then you multiply it by $10,000$ or you can say $10^5$

$\frac{2.31818}{1}*\frac{100000}{100000}$

After you multiply you divide the numerator and denominator by 2.

$\frac{231818/2}{100000/2}$

And now this equals:

$2\frac{15909}{5000}$

Hope this helps!

5 0

3 years ago