Julia is taking a test with multiple choice and true/false question the test has twentg question altogether . julia gets five points for correct multiple choice answer nd lose one points for each incorrect true/fales answers . she earned 76 points in the test how many multilpe choice question and true/fales question are one the test ? .let _ =____
let _=________
system of equestion :

solution :

plzz help fastt :)

Answers

Answer 1

Answer: x=number of corect
y=number of incorrect
5 points for each correct so 5x
-1 point for each incorrect so -y

5x-y=76
solve for x and y

I like putting it into slope intercep tofrm which is y=mx+b
add y to both sides
5x=76+y
subtract 76 from both sides
5x-75=y
y=5x-76

subsitute values for x and get values for y
remember, that julia cannot answer a negative number of incorrect questions so y must be greater than or equal to 0

so solve for minimum
0<5x-76
add 76 to both sides
76<5x
divide by 5
15.2<x
you cannot answer a fraction of a correct quesiton so round up
16 is the minumum number of queswtions correctlyh answered

so
x>16

subsitute 16 for x
y=5(16)-76
y=80-76
y=4

as we subsitute more numbers over 16, we get these points
so (x,y)
(16,4)
(17,9)
(18,14)
(19,19)
(20,24)
(21,29)
(22,34)
(23,39)
x=correct answer
y=wrong answers

Related Questions

Can you guys help me. l will give you the brainliest and if you give me the correct answers. please show working.
What two numbers multiply to be 16 and add to be 9
Is y=-4 and x=8 perpendicular, parallel, or neither
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50a + 3.75b = 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?
Simplify each equation, then solve. 1) log 2 128=x

Simplify 16/3(6/8b+9/2).

Write in simplest form.

Answers

3/8 = 0.37500
hope its right...!!!!!

16/3(6/8b+9/2) Final result : 4 • (b + 6)

Step by step solution :Step 1 : 9 Simplify — 2 Equation at the end of step 1 : 16 6 9 —— • ((— • b) + —) 3 8 2Step 2 : 3 Simplify — 4 Equation at the end of step 2 : 16 3 9 —— • ((— • b) + —) 3 4 2 Step 3 :Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

      The left denominator is :       4

      The right denominator is :       2

        Number of times each prime factor
        appears in the factorization of: Prime
Factor  Left
Denominator  Right
Denominator  L.C.M = Max
{Left,Right} 2212 Product of all
Prime Factors 424

Least Common Multiple:
4

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

    Denote the Least Common Multiple by  L.C.M
    Denote the Left Multiplier by  Left_M
    Denote the Right Multiplier by  Right_M
    Denote the Left Deniminator by  L_Deno
    Denote the Right Multiplier by  R_Deno

   Left_M = L.C.M / L_Deno = 1

   Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

3.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respectiveMultiplier.

L. Mult. • L. Num. 3b —————————————————— = —— L.C.M 4 R. Mult. • R. Num. 9 • 2 —————————————————— = ————— L.C.M 4 Adding fractions that have a common denominator :

3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3b + 9 • 2 3b + 18 —————————— = ——————— 4 4 Equation at the end of step 3 : 16 (3b + 18) —— • ————————— 3 4 Step 4 : 16 Simplify —— 3 Equation at the end of step 4 : 16 (3b + 18) —— • ————————— 3 4 Step 5 :Step 6 :Pulling out like terms :

6.1 Pull out like factors :

3b + 18 = 3 • (b + 6)

Final result : 4 • (b + 6)

Which of the following is the surface area of the right cylinder below?Radius 8
Height 14

A. 352 units2
B. 224 units2
C. 896 units2
D. 204 units2

Answers

Answer:

352units²

Step-by-step explanation:

The function f is defined by f(x) = (x − 2) 2 − 3 for x > −2. The function g is defined by g(x) = 2x+6 x−2 for x > 2. Find fg(7).

Answers

Answer:

$fg(7)=143.95$

Step-by-step explanation:

We are given that

$f(x) = (x -2)^2 -3$ for x > −2

$g(x) = 2x+6x^(-2)$ for x > 2

We have to find fg(7)

$fg(7)=f(g(7))$

$=f(2(7)+6(7)^(-2))$

= $f(14+(6)/(49))$

= $f((692)/(49))$

692/49>-2

fg(7)= $((692)/(49)-2)^2-3$

= $146.95-3$

Hence, $fg(7)=143.95$

Solve for x:
-2x(x-3)=-11 (correct two decimal place)

Answers

-2x(x-3) = -11

-2x(x) -2x(-3) = -11
-2x² + 6x = - 11
-2x² + 6x + 11 = 0

Let us use the quadratic formula in solving for the value of x.

-2x² + 6x + 11 = 0

a = -2 ; b = 6 ; c = 11

x = (-b + √b² -4ac) ÷ 2a

x = (-6 + √6² - 4(-2)(11)) ÷ 2(-2)
x = (-6 + √36 + 88) ÷ -4
x = (-6 + √124) ÷ -4
x = (-6 + 11.14) ÷ -4
x = 5.14 ÷ -4
x = -1.285 or -1.29

x = (-6 - 11.14) ÷ -4
x = -17.14 ÷ -4
x = 4.285 or 4.29

What is the simplist form of 240/1000

Answers

Divide by 100 to reduce it to 24/100

Now divide by 4 to get 6/25

The simplest form is 6/25

Find the area of the circle. Round your answer to two decimal places, if necessary.

Answers

Final answer:

To find the area of a circle, use the formula A = πr^2. Identify the radius and substitute it into the formula to calculate the area. Round the answer to two decimal places if necessary.

Explanation:

To find the area of a circle, you can use the formula A = πr^2, where A represents the area and r represents the radius of the circle. Start by identifying the radius of the circle, which is the distance from the center to any point on the circumference. Once you have the radius, substitute its value into the formula and calculate the area. Make sure to round your answer to two decimal places if necessary. For example, if the radius of the circle is 5 units, the area would be A = 3.14 * 5^2 = 3.14 * 25 = 78.5 square units.