Step-by-step explanation: Let the spelling questions be represented by letter p, while the vocab questions should be represented by v. If there is a total of 16 questions as stated, then p + v = 26

Also if there are a total of 100 points obtainable in the test, then spelling questions times 2 points (2p) plus vocab questions times 5 points (5v) equals 100 points. This can be expressed as 2p + 5v = 100

We now have a pair of simultaneous equations as follows

p + v = 26 ———(1)

2p + 5v = 100 ———(2)

Make p the subject of the equation in equation (1). p = 26 - v. Next substitute for the value of p into equation (2)

2(26 - v) + 5v = 100

52 - 2v + 5v = 100

We collect like terms and we have

5v - 2v = 100 - 52

3v = 48

Divide both sides of the equation by 3

v = 16

Now having calculated v, substitute for the value of v into equation (1)

p + 16 = 26

Subtract 16 from both sides of the equation

p = 10

Therefore, the spelling questions equals 10 in all. While the vocab questions equals 16 in all.

7 0

4 years ago

Read 2 more answers

What is the answer to this math equation -1 3/4 -(-1/2)<br><br> and this one also:<br> -1/5+1 3/4

Vlad [161]

$1)\ \ \ -1 \frac{3}{4} -(- \frac{1}{2} )=-1 \frac{3}{4} +\frac{1}{2} =-1 \frac{3}{4} +\frac{2}{4} =-1 \frac{1}{4} \\\\2)\ \ \ - \frac{1}{5} +1 \frac{3}{4} =- \frac{4}{20} +1 \frac{15}{20} =1 \frac{11}{20}$

5 0

4 years ago

Express as a trinomial (2x-10)(3x+9)

prohojiy [21]

Answer:

$6x^{2}$ -12x-90

Step-by-step explanation:

2x*3x=6x^2

2x*9=18x

3x*-10=-30x

18x-30x=-12x

-10*9=-90

6 0

3 years ago