Given f(x) = 10-4x<br>find f (8)<br>

Diego's history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questio

maxonik [38]

Answer:

The number of essay questions on the test were 9

Step-by-step explanation:

Given as :

Total number of questions in a test = 26

Total points for the 26 questions = 123

The point for each multiple choice questions = 3

The point for each essay questions = 8

Let The number of multiple choice questions = m

Let The number of essay questions = e

<u>Now, According to question</u>

Total number of questions in a test = number of multiple choice questions + number of essay questions

Or, m + e = 26 .....A

Again

Total points for the 26 questions = point for each multiple choice questions × number of multiple choice questions + point for each essay questions × number of essay questions

i.e 3 × m + 8 × e = 123

Or, 3 m + 8 e = 123 .......B

Solving the equation we get

8 × ( m + e ) - (3 m + 8 e) = 8 × 26 - 123

Or, 8 m + 8 e - 3 m - 8 e = 208 - 123

Or,(8 m - 3m) + (8 e - 8 e) = 85

Or, 5 m + 0 = 85

∴ m = $\dfrac{85}{5}$

i.e m = 17

So,The number of multiple choice questions = m = 17

Put the value of m into eq A

∵ m + e = 26

Or, e = 26 - 17

i.e e = 9

So, The number of essay questions = e = 9

Hence, The number of essay questions on the test were 9 . Answer

7 0

3 years ago

A line contains the points (82, −96) and (87, −86) .

olchik [2.2K]

The slope is 2

Hopes this helps in any sort of way

5 0

3 years ago

Read 2 more answers

Convert 3/11 to a decimal equivalent using long division. (Ex: 80-30 is what I need but I'm not sure.)

Virty [35]

.27 repeating.... you have to put three on the inside and 11 outside, so 11 goes into 3 zero times so put a zero at the top. Write a zero underneath and subtract 3-0 (obviously 3) and put a decimal point after the first three under the sign and the 0 above it. Add a zero after the threes decimal, and carry it down to the bottom most 3 to have 30. 11 goes into 30 two times so write a 2 at the top. Subtract the 30-22 at the bottom and get 8. Add another 0 after the 3 ( so now 3.00) and carry it to the 8 (80). 11 goes in 7 times, 77. So 7 on top and 80-77= 3 below. Add another zero to repeat process if necessary, but otherwise it repeats, just so you know ;) hope this helps

8 0

4 years ago

If a car can travel 220 miles on 12 gallons of gas, how many gallons

vampirchik [111]

Set up a ratio of known to unknown:

Let X = the amount of gas needed for 500 miles:

220/12 = 500/x

Cross multiply:

220x = 6000

Divide both sides by 220:

X = 6000 / 220

x = 27.27 gallons (round answer as needed).

4 0

3 years ago

please help all the answers are to the right each answer goes into a box match it correctly (: tysm i mark brainliest

melisa1 [442]

Answer:

Heredity is the passage of traits from parent to offspring.

Heredity material is also known as DNA.

Heredity is responsible for traits such as eye color and skin color.

Step-by-step explanation:

6 0

3 years ago

Given f(x) = 10-4xfind f (8)​

Given f(x) = 10-4xfind f (8)