A national publication showed the following distribution of favorite class subjects for high school students.

Find the sum of all numbers from 150 to 200 which are divisible by7

podryga [215]

Step-by-step explanation:

The sum is 1225

Solution :

The numbers from 150 to 200 divisible by 7 are 154,161 ,168,…., 196

Here, a=154,d=7a=154,d=7 and tn=196tn=196

tn=a+(n−1)dtn=a+(n-1)d …(Formula )

∴196=154+(n−1)×7∴196=154+(n-1)×7 …(Substituting the values )

∴196−154=(n−1)×7∴196-154=(n-1)×7

∴427=n−1∴427=n-1 ∴n−1=6∴n-1=6 ∴n=7∴n=7

Now, we find the sum of 7 numbers.

Sn=n2[t1+tn]Sn=n2[t1+tn] ...(Formula )

=72[154+196)=72[154+196)

=72×350=72×350

=7×175=7×175

=1225

8 0

3 years ago

Can you solve number 7, number 8, and number 9

solmaris [256]

Hello!

To solve each expression, you need to substitute the given value for each given variable. If there is an x in the expression, then you substitute 5.07. If there's a y, then you substitute 1.5, and if there's a z, then you substitute 0.403.

7. 3.2x + y (substitute x = 5.07 and y = 1.5)

3.2(5.07) + (1.5)

16.224 + 1.5

17.724

8. yz + x (substitute y = 1.5, z = 0.403, and x = 5.07)

(1.5)(0.403) + (5.07)

0.6045 + 5.07

5.6745

9. z × 7.06 - y (substitute z = 0.403 and y = 1.5)

(0.403) × 7.06 - (1.5)

2.84519 - 1.5

1.34518

Final answers:

Number 7: 17.724
Number 8: 5.6745
Number 9: 1.34518

5 0

2 years ago

Find the a26 arithmetic sequence: -15,-35,-55,-75 -515 460 -490

Vlad [161]

Step-by-step explanation:

<h3>QUESTION:-</h3>

Find 26th term of the A.P --15,-35,-55,-75...

<h3>Solution:-</h3>

First term=a=-15

Common Difference=d=-20

We know that

$\boxed{\sf a_n=a+(n-1)d}$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+(26-1)(-20)$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+25(-20)$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+(-500)$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15-500$

$\\ \:\:\:\:\sf {:}\dashrightarrow {\boxed{\bf a_{26}=-515}}$

6 0

3 years ago

Can yall help me with this pls

Katyanochek1 [597]

Its the third answer, how much gas he has after one hour

7 0

2 years ago

He currently pays an AP$ of $1.87 per pound for fresh onions, but his yield is 50% after peeling and cooking the onions. What is

PolarNik [594]

Complete question :

Chef Charming and his mother sell cheese steak sandwiches at their food truck. They use fresh onions, and cook them slowly to caramelize them before putting them on their sandwiches.

Charming found a pre-cooked onion that was $8.3 per pound AP$, with 100% Yield. He wants to save money but isn't sure if that is a better deal than cooking the fresh onions himself.

He currently pays an AP$ of $1.87 per pound for fresh onions, but his yield is 50% after peeling and cooking the onions. What is the EP$ for the fresh onions, after caramelizing?

Answer:

$3.74

Step-by-step explanation:

Cost of fresh onions = $1.87 per pound

Percentage yield = 100% after caramelizing

Therefore EP$ for the fresh onions after caramelizing will be :

(1 + percentage yield) * cost of fresh onions

(1 + 100%) * $1.87

(1 + 1) * $1.87

2 * $1.87

= $3.74

3 0

2 years ago