All categories

4 years ago

Someone please help me

Mathematics

1 answer:

MariettaO [177]4 years ago

5 0

Step-by-step explanation:

$\frac{4}{7}x \: + \: \frac{5}{14}x \: = 39$

$\frac{8}{14}x \: + \: \frac{5}{14}x \: = 39$

$\frac{13}{14}x \: = 39$

x = $\frac{\cancel{39} \times 14}{\cancel{13}}$

x = 3 × 14

x = 42

So, the solution of x is 42

#CMIIW

You might be interested in

I need help with this question about similar triangles

Colt1911 [192]

Answer:

ST = 12 units

Step-by-step explanation:

Δ RAS and Δ TES are similar triangles, thus the ratios of corresponding sides are equal, that is, noting that SR = 21 - ST, thus

$\frac{ST}{SR}$ = $\frac{TE}{AR}$ substitute values

$\frac{ST}{21-ST}$ = $\frac{8}{6}$ ( cross- multiply )

6ST = 8(21 - ST)

6ST = 168 - 8ST ( add 8ST to both sides )

14ST = 168 ( divide both sides by 14 )

ST = 12

6 0

4 years ago

Let me know if you can answer these :)

Olegator [25]

Answer:

10. 285

11. $6\frac{3}{4}$

16.a. Stiles Family

<u>Reason</u>-The Styles family uses twice as much as the other two, because the electric consumption per person (which is =745 KWh) is much higher than the other two.

16.b. Mendelez family

Reason-The Mendelez family uses the least amount of water, because the water usage per person (which is =875 gallons) is much lower than the other two.

Step-by-step explanation:

10. In 6 mins, no. of machine parts produced = 114

in 1 min, no. of machine parts produced = 114/6

in 15 min, no. of machine parts produces $\frac{114 *15}{6}\\=285$

---------------------------------------------------------------------------------------------------------

11. To make 8 jumbo muffins take, amount of baking powder used = $1\frac{1}{2} =\frac{3}{2}$

To make 1 jumbo muffin, amount of baking powder used = $\frac{3}{2} / 8$ =3/16

To make 3 dozens = (3 * 12 )= 36 muffins, amount of baking powder used = 36 *3/16

$=\frac{27}{4}$ = $6\frac{3}{4}$

-------------------------------------------------------------------------------------------------------------

16. a. Electricity consumed by 1 person in the Mendelez family :

=1560/4

=390 KWh

Electricity consumed by 1 person in the Barton family:

=2130/6

=355 KWh

Electricity consumed by 1 person in the Styles Family:

=1490/2

=745 KWh

The Styles family uses twice as much as the other two, because the electric consumption by 1 person is much higher than the other two.

------------------------------------------------------------------------------------------------------------

16.b. Water consumed by 1 person in the Mendelez family = 3500/4=875 gallons

Water consumed by 1 person in the Barton family = 6400/6=1050 gallons

Water consumed by 1 person in the Styles family =2500/2=1250 gallons

5 0

3 years ago

Twice Henry's earnings increased by 10 is $253. Therefore, Henry earned $____

valina [46]

Answer:

121.50

Step-by-step explanation:

Let x be the earnings

2x+10 = 253

Subtract 10 from each side

2x+10-10 = 253-10

2x = 243

Divide by 2

2x/2 = 243/2

x = 121.50

8 0

3 years ago

Let $s$ be a subset of $\{1, 2, 3, \dots, 100\}$, containing $50$ elements. how many such sets have the property that every pair

Tamiku [17]

Let A be the set {1, 2, 3, 4, 5, ...., 99, 100}.

The set of Odd numbers O = {1, 3, 5, 7, ...97, 99}, among these the odd primes are :

P={3, 5, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}

we can count that n(O)=50 and n(P)=24.

Any prime number has a common factor >1 with only multiples of itself.

For example 41 has a common multiple >1 with 41*2=82, 41*3=123, which is out of the list and so on...

For example consider the prime 13, it has common multiples >1 with 26, 39, 52, 65, 78, 91, and 104... which is out of the list.

Similarly, for the smallest odd prime, 3, we see that we are soon out of the list:

3, 3*2=6, 3*3=9, ......3*33=99, 3*34=102..

we cannot include any non-multiple of 3 in a list containing 3. We cannot include for example 5, as the greatest common factor of 3 and 5 is 1.

This means that none of the odd numbers can be contained in the described subsets.

Now consider the remaining 26 odd numbers:

{1, 9, 15, 21, 25, 27, 33, 35, 39, 45, 49, 51, 55, 57, 63, 65, 69, 75, 77, 81, 85, 87, 91, 93, 95, 99}

which can be written in terms of their prime factors as:

{1, 3*3, 3*5, 3*7, 5*5,3*3*3, 3*11,5*7, 3*13, 2*2*3*3, 7*7, 3*17, 5*11 , 3*19,3*21, 5*13, 3*23,3*5*5, 7*11, 3*3*3*3, 5*17, 3*29, 7*13, 3*31, 5*19, 3*3*11}

1 certainly cannot be in the sets, as its common factor with any of the other numbers is 1.

3*3 has 3 as its least factor (except 1), so numbers with common factors greater than 1, must be multiples of 3. We already tried and found out that there cannot be produced enough such numbers within the set { 1, 2, 3, ...}

3*5: numbers with common factors >1, with 3*5 must be

either multiples of 3: 3, 3*2, 3*3, ...3*33 (32 of them)

either multiples of 5: 5, 5*2, ...5*20 (19 of them)

or of both : 15, 15*2, 15*3, 15*4, 15*5, 15*6 (6 of them)

we may ask "why not add the multiples of 3 and of 5", we have 32+19=51, which seems to work.

The reason is that some of these 32 and 19 are common, so we do not have 51, and more important, some of these numbers do not have a common factor >1:

for example: 3*33 and 5*20

so the largest number we can get is to count the multiples of the smallest factor, which is 3 in our case.

By this reasoning, it is clear that we cannot construct a set of 50 elements from {1, 2, 3, ....} containing any of the above odd numbers, such that the common factor of any 2 elements of this set is >1.

What is left, is the very first (and only) obvious set: {2, 4, 6, 8, ...., 48, 50}

<span>Answer: only 1: the set {2, 4, 6, …100}</span>

8 0

3 years ago

Your company spends 15%of their budget on rent each year. Their operating budget was 45,000 how much was spent

amm1812

You take 45,000 divided by .15= 30,000

30,000 it your answer

Hope this helps

5 0

3 years ago

Read 2 more answers