Diego’s history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questions: multiple choice worth 3 points each, and essays worth 8 points each.
How many essay questions are on the test? Explain your reasoning.
Answer: 9 essay questions
Step-by-step explanation:
The test has 26 questions
The test is worth 123 points
The test has two types of questions:
Multiple choice worth 3 points each
Essays worth 8 points each
Let the number of multiple choice questions be, m, and the number of essay questions be , e.
This forms a simultaneous equation below:
m + e = 26 ... (i)
3m + 8e = 123 ... (ii)
Multiplying (i) by 3 and (ii) by 1 we get:
3m + 3e = 78 ... (i)
3m + 8e = 123 ... (ii)
Subtracting (ii) - (i) we get;
0m + 5e = 45
5e = 45
e = 45 ÷ 5 = 9
So there are 9 essay questions.
and;
m + 9 = 26
m = 26 - 9 = 17
There are also 17 multiple choice questions.
Mike spins the spinner and flips the coin what is the probability that he spins green and flips heads
A 1/10
B 1/8
C 1/4
D 3/4
Step-by-step explanation:\\\\\\\\\\\
d
please answer asap When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expression.
THe answer is in the image.
Which of the following correctly shows clustering for the problem 72 x 13?
72 x 10 + 72 x 3
72 x 12 + 72 x 1
70 x 10 + 2 x 3
72 x 10 + 72 x 13
72×10+72×3 and 72×2+72×1 shows clustering for the problem 72 x 13
What is Number system?A number system is defined as a system of writing to express numbers.
The given expression is 72 x 13.
Seventy two times of thirteen.
We can write this 72×(10+3)
By distributive property
72×10+72×3
So 72×10+72×3 shows the clustering for the problem 72 x 13.
and we can also write this as given 72×(12+1)
72×2+72×1 also shows the clustering for the problem 72 x 13.
Hence, 72×10+72×3 and 72×2+72×1 shows clustering for the problem 72 x 13
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do you guts want to play never have I ever??
Answer:
sure
Step-by-step explanation:
The intersection of parallel lines b and c and transversal line d form several special angle relationships, as shown in the image below.
Which of the following pairs of angles are supplementary? Select all that apply.
∠1 and ∠4
∠5 and ∠6
∠2 and ∠8
∠3 and ∠6
Answer:
your awnser would be 5 and 6 and 2 and 8
Step-by-step explanation:
hope this helps
Jada bikes x miles to the park and a quarter of that again. How far does Jada bike
Answer: is that all the question
Step-by-step explanation:
Answer: 1.25x
Step-by-step explanation: x + 1/4 of x = = 1.25x
Add 5/8 + 1/8 (Fractions)
Answer:
3/4Step-by-step explanation:
5/8 + 1/8 .we will add the numerator out denominator . We will get 6/8 we divide it by 2 and we will get 3/4 as our answer. l hope it helps ❤❤The graph shows the number of sprays an automatic air freshener dispenses, y, in x minutes
Which expression can be used to calculate the rate per minute at which the air freshener dispenses sprays?
A) 30 over 6
B) 24 over 30
C) 30 over 24
D) 6 over 30
Answer:
A) 30 over 6
Step-by-step explanation:
plz help brainlist if the answer correct
Answer:
I think it's the first or last one hopefully!
Step-by-step explanation:
8
2
7
6
3
4
Angle 3 is equal to angle
Answer:
pls put a pic of the question
Step-by-step explanation:
Answer:
3 or 6 I don't know
Step-by-step explanation:
Like what the other person said we need the picture of it ↑↑
In a survey of 160 people who have reptiles as pets, 40% have a pet snake. Of those with a pet snake, 25% also have a pet lizard. Of those who do not have a pet snake, 75% have a pet lizard.
Part A
Enter the correct answers in the boxes to construct a two-way frequency table to display the data.
Part B
What percentage of those surveyed have a pet lizard?
Part C
What percentage of those surveyed have both a snake and a lizard?
Percentage of people having Lizard = 55% , Percentage of people having both Lizard & Snake = 10%
Important Information : Percentage people having pet snake = 40%
C] Percentage people having pet lizard, along with pet snake = 25% of those having pet snake = 25% of 40% = 10% {Percentage of people having both snake & lizard)
Percentage of people having pet snake only = 75% of those who don't have snake = 75% of ( total - 40%) = 75% of 60% = 45%B] Total percentage of people having pet lizard = 10% + 45% = 55%
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1. 42+14x
2. 3(2x + 9)
Answer:
1. 56x 35x
what you had to do was add 42 plus 14x which gives you 56x. then for number two you had to multiply the numbers inside of the parenthesis by the number outside of the parenthesis which will give you 35x.
A bakery is having a sale on cupcakes. At 11am the bakery has sold 123 cupcakes. By 2pm the bakery has sold 470 cupcakes.
What was the average rate of change between 11am and 2pm?
Explain what the rate of change means in the context of the problem
Answer:
The average rate of change is 115 cupcakes per hour approximately
Step-by-step explanation:
I will mark best answer
Answer:
X = 4
Step-by-step explanation:
Evan worked 9 hours and
made $85.50. Henry worked 6 hours and made $57.00. Are
these two rates proportional?
Answer:
yes both of them make 9.5 the hour I know this because 85.50 divided by 9 is 9.5 9 times 9 is 81 and .5 times 9 is 4.5 so 81+4.5=85.5 and then 57 divided by 6 is 9.5 as well you can do 6 times 9 and you get 54 and then 6 times 0.5 is 3 and 54+3=57
Step-by-step explanation:
sorry for the long answer but just wanted to clearly explain everything!
answer this question first and you'll get a brainliest: Aaron's bird feeder holds 3/4 of a cup of birdseed. Aaron is filling the bird feeder with a scoop that holds 1/8 of a cup. How many scoops of birdseed will Aaron put into the feeder?
Answer:
6 scoops
Step-by-step explanation:
3/4 divided by 1/8
since you are dividing you would flip the secound number.
3/4 * 8/1
=6
Answer:
6 scoops of bird feeder.
Step-by-step explanation:
Which number in the following equation represents the coefficient?
7y + 2 = 23
Answer:
7
Step-by-step explanation:
The coefficient is the number used to multiply a variable.
Y is the variable and 7 is the coefficient.
Answer
y=3
Step-by-step explanation:
21/7=3
7 times 3 = 21
21 +2=3
0.17 with a line over 17 as a fraction
Answer:
17/100
Step-by-step explanation:
Rebecca bought 4 sweaters that each cost the same amount and 1 skirt that cost $40. The items she bought cost a total of $160 before tax was added. What was the cost of each sweater?
Answer:$30
Step-by-step explanation:
check if the last question is right ;-;
right answer that the brainliest :D
Answer:
yess it is right
Step-by-step explanation:
What is the length of segment PQ in units?
Answer:
13
Step-by-step explanation:
I will give a branliest to the first person answer it
Answer:
Step-by-step explanation:Did that help?
Please help with math
Answer:
Ok here are the answers:
6: B
7: B
8: C
9: D
10: A
Have a good day! :)
Answer:
Step-by-step explanation:
6 is B (second)
7 is B (second)
8 is C (third)
9 is D (last)
10 is A (first one)
Martha and George take turns babysitting. Martha works for 4 hours and George works for 2 hours. They are paid a total of $24.00. How should they divide the money so that each person gets a fair share?
Martha =
George =
Answer:
$12.00 each
Step-by-step explanation:
$24.00 ÷ 2 = $12.00
Answer:
Step-by-step explanation:
$24.00 divided by 6 = $4.00 4 x $4.00= $16.00 Martha Gets $16.00 while George gets $8.00
Martha = $16.00
George = $8.00
Well award Brainliest
Answer:
Student didn't multiply so the highlighted one
Step-by-step explanation:
Party Food Item Amount
Fried Chicken 24 pieces
Deli Meats 3 2/3 pounds
Lasagna 11 3/4 pounds
Answer:
ok do you need help yes or no
Need the answer ASAP
In which of the situations can information about Tyler be represented by the expression r + 3, when r represents information about Ray? Select three options.
Tyler is 3 years older than Ray.
Tyler is 3 inches taller than Ray.
Tyler is 3 pounds lighter than Ray.
Tyler walked 3 miles farther than Ray.
Tyler spent one-third the amount Ray spent.
Jennifer is taking a five question true or false test if she guesses each time what is the probability that she will get them all right?
A 1/8
B 1/25
C 1/32
D 1/64
Answer:
1/8
Step-by-step explanation:
If she guesses on there she will most likely get them all wrong.