Answers
Problem 2
x = amount of candy Ian goty = amount of candy Joe gotz = amount of candy Josh gotBased on those variables, we can form these equations
x+y+z = 75 since all three got 75 totalx = 3y+6 due to "Ian collected six more than three times the amount Joe got"z = y-11, since Josh collected 11 pieces less compared to JoeThe system of equations is
[tex]\begin{cases}x+y+z = 75\\x = 3y+6\\z = y-11\\\end{cases}[/tex]
Let's start with the first equation. Then apply substitution like so
x+y+z = 75
3y+6+y+z = 75 ... plug in x = 3y+6
4y+6+z = 75
4y+6+y-11 = 75 ... plug in z = y-11
5y-5 = 75
5y = 75+5
5y = 80
y = 80/5
y = 16 = amount of candy Joe collected
z = y-11 = 16-11 = 5 = amount Josh collected
x = 3y+6 = 3*16+6 = 54 = amount Ian collected
Answer: 54 pieces of candy======================================================
Problem 3
x = number of pounds of candy that sells for $1.49 a pound
1.49x = cost of buying those x pounds of candy at that unit price
4.50*5 = 22.50 = cost of buying 5 pounds at $4.50 per pound
1.49x+22.50 = total cost
x+5 = total weight in pounds
(total cost)/(total weight) = final cost per pound
(1.49x+22.50)/(x+5) = final cost per pound
(1.49x+22.50)/(x+5) = 3.64
1.49x+22.50 = 3.64(x+5)
1.49x+22.50 = 3.64x+18.20
22.50-18.20 = 3.64x-1.49x
4.30 = 2.15x
2.15x = 4.30
x = (4.30)/(2.15)
x = 2
Answer: 2 pounds======================================================
Problem 5
g = number of ghosts
w = number of witches
s = number of scarecrows
g+w+s = 22 = total number of items
w = g+1 since there's one more witch compared to ghosts
s = w-7 since there's 7 less scarecrows than witches
The system we need to solve is
[tex]\begin{cases}g+w+s = 22\\w = g+1\\s = w-7\\\end{cases}[/tex]
We'll use substitution here as well
g+w+s = 22
g+w+w-7 = 22 ... plug in s = w-7
g+2w-7 = 22
g+2(g+1)-7 = 22 ... plug in w = g+1
g+2g+2-7 = 22
3g-5 = 22
3g = 22+5
3g = 27
g = 27/3
g = 9, there are 9 ghosts
w = g+1 = 9+1 = 10 witches
s = w-7 = 10-7 = 3 scarecrows
Answers:10 witches and 3 scarecrows
Related Questions
A tractor tire makes one complete rotation every 14.3 seconds.
How long does it take the tire to complete 4.25 rotations?
Answers
Answer:
60.775
Step-by-step explanation:
If one rotation is 14.3, then you will have 14.3 x 4. Then divide 14.3 by 4 (25 is 1/4 of 100) and the answer is 3.575. So 14.3*4= 57.2 + 3.575 = 60.775
the answer is 60.775.
I took the k12 test.
A movie theater sells out 7 times per month. Chloe counted 168 sellouts at the theater. How long was Chloe recording sales? a year
Answers
Answer: 2 years
Step-by-step explanation:
The rate is 7 sellouts/month.
(168 sellouts)/(7 sellouts/month) = 24 months, or 2 years at 12 months/year.
Stella needs to make at least 8 cakes for a bake sale. A chocolate cake requires 5 cups of flour, and a fruit cake requires 3 cups of flour. She has at most 120 cups of flour.
Which system of inequalities represent the number of chocolate cakes (c) and the number of fruit cakes (f) Stella can make?
A.
B.
C.
D.
Answers
Answer:
A. c + f > 8
5c + 3f < 120
Step-by-step explanation:
Let c = chocolate cakes
Let f = fruit cakes
She must make at least 8 cakes
c+f ≥8
A chocolate cake requires 5 cups of flour, and a fruit cake requires 3 cups of flour and she has only 120 cups of flour
5c+3f ≤120
The two equations are
c+f ≥8
5c+3f ≤120
The base of a triangle is 4 inches more than 3 times the height. If the area of the triangle is 66 square inches, find the base and height.
Answers
Answer:
base = b = 11
height = h = 2
Step-by-step explanation:
.5 * b * h = 11
.5 * (4h + 3) * h = 11
(4h + 3) * h = 22
4h2 + 3h = 22
4h2 + 3h - 22 = 0
(4h + 11) (h - 2) = 0
h = -11/4 OR h = 2
Jaimee is moving in with her dad next year, and she wants to know how much farther her trip to school will be from his house than it was from her mom’s house. Jaimee’s dad lives 12.65 miles from school, and her mom lives 4 1/6 miles from school. About how much farther will Jaimee have to travel to school?
Answers
solve pls brainliest
Answers
Answer:
[tex]2.06[/tex]
Step-by-step explanation:
Divide 33 by 16.
[tex]2.0625[/tex]
6 is in the hundredth place. If you look at the thousandth place, a 2 is placed there, rounding [tex]2.0625[/tex] to [tex]2.06[/tex] in the hundredth place.
Hence, the answer is [tex]2.06[/tex].
What is the first step in simplifying the expression (2-3•4+5)^2 ?
(1) square 5
(2) add 4 and 5
(3) subtract 3 from 2
(4) multiply 3 by 4
Answers
The following is the correct order of steps to simplify an expression.
1.) Parenthesis
2.) Exponents
3.) Multiply and Divide left to right
4.) Add and Subtract left to right.
Since there are parenthesis in the expression, you must do whatever is inside before anything else.
Inside the parenthesis, there is a subtraction, multiplication, and addition. Since multiplication comes before addition and subtraction in the order of operations, you must do that first. Therefore, the correct answer is multiply 3 by 4.
Answer:
(4) multiply 3 by 4
Step-by-step explanation:
(2-3•4+5)²
Firstly multiply 3 by 4
(2-12+5)²
Then add 2 and 5
(-12+7)²
Now subtract -12 from 7
-5²
= (-5)(-5)
= 25
Thus, the first step in simplifying the expression (2-3•4+5)^2 is (4) multiply 3 by 4.
What is the answer to this question?
Answers
Answer:
27 23/25
Step-by-step explanation:
To make this more simple, we can separate the fractions into two parts.
We can start off with subtracting the mixed numbers; 43 - 15 = 28
We are now left with 1/2 - 4/7
The lowest common denominator is 14
So we do 1/2 x 7 and 4/7 x 2
7/14 - 8/14 = 1/14
28 - 1/14 is changed to 28/1 - 1/14
Again we have to find a common denominator so we times 28/1 by 14
392/14 - 1/14 = 391/14
Simplified, this is 27 13/14
pls awnser (immediate)
Answers
Answer:
A. a route more than 27 miles per day.
Step-by-step explanation:
PLEASE HELP I DONT GET THIS
Answers
Step-by-step explanation:
(a) yes it is answer.
i cheak it is true.
What type of angle is shown below?
acute
straight
obtuse
right
Answers
Answer:
Acute
Step-by-step explanation:
So, straight would be a line, right would be like a corner of a square, acute would be less than a right, and obtuse would be more than a right but less than a straight.
A mayor estimates that 4,000 people will attend the first day of the county fair. A total of 8,400 people actually attend the first day of the fair. What is the percent error of the mayor’s estimate? Round the answer to the nearest tenth percent, if necessary.
Answers
Answer:
%140 I think
Step-by-step explanation:
Double would be a %100 error
add %10 for every 100 after
Answer:52.4%
Step-by-step explanation:
Find the difference between the actual number and the estimated number. This difference is the part. Use it to write a part-to-whole ratio and then divide to find the percent error.
In how many ways can 5 people sit in 5 chairs if Frankie and Johnny want to sit next to each other?
Answers
Answer:
48
Step-by-step explanation:
Sumo wrestler decided to go on a special diet to gain weight rapidly at a constant rate. After 8 months he weighed 138 kilos. He started at 90 kilos.
Complete equation for the relationship between the weight and number of months.
Answers
Answer:
138-90=48
48/8=6
6 kil I s per month
or 13.2 pounds per m o nth appoximztly
2/8+3/8=______ whole
Answers
Answer:
5/8
Step-by-step explanation:
Work out the percentage change when a price of £10 is increased to £12.
Answers
Answer:
20%
Step-by-step explanation:
Use the percent change formula: difference = % * original cost
12 - 10 = 2
The difference is 2 and the original cost is 10. Now, we have the equation
2 = % * 10. We don’t know the percentage right? So now we have to find the percentage. To do this, you will have to do 2 divided by 10, which is 0.20. Lastly, we have to turn 0.20 into a percentage by multiplying it by 100, leaving you with 20%. So therefore, 20% is the percent increase. Hope this helps!
Consider the following polynomial inequality.
x^2(x+5)(x−6)>0
Set one side equal to zero and list the interval endpoints (the only points at which the non-zero expression can change sign).
Separate multiple answers with a comma.
Answers
Answer:
Well, x^2(x+5)(x−6)>0= x<-5 or x>4
Step-by-step explanation:
Just have to simplify it as I can't type the equations right now.
The polynomial expression of inequality is x² ( x + 5 ) ( x - 6 ) > 0 is given by the values ( x < -5 ) and ( x > 6 )
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
x² ( x + 5 ) ( x - 6 ) > 0
So , the values of x that are greater than 0 is given by
x² > 0
So , the value of x > 0
when ( x + 5 ) > 0
Subtracting 5 on both sides , we get
x < -5
when ( x - 6 ) > 0
Adding 6 on both sides , we get
x > 6
So , the inequalities are ( x < -5 ) and ( x > 6 )
Hence , the polynomial inequality is solved
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find the area of a square with a side length of 1/5 in.
Answers
Answer:
.04 inches squared
Step-by-step explanation:
1/5 of an inch is .2
A = Length times Width
Since squares have 4 equal sides, its length is equal to its width.
0.2 times 0.2 = .04 in^[tex]^{2}[/tex]
The path of a skateboarder can be modeled by the equation (x – 4)2 = –4(y – 9), where distance is in feet and air resistance is insignificant. If the skateboarder makes a jump from a ramp at x = 0, what is her maximum height and how far is she horizontally from the end of the ramp when she lands?
Maximum height 4 feet; horizontal distance 12 feet
Maximum height 5 feet; horizontal distance 10 feet
Maximum height 9 feet; horizontal distance 12 feet
Maximum height 9 feet; horizontal distance 10 feet
Answers
Answer:
Maximum height 9 feet; horizontal distance 10 feet
Step-by-step explanation:
First, let's get the distance out of they way
When the skateboard lands, her height will be at 0 feet, so y has to equal 0
(x - 4)² = -4(0 - 9)
(x - 4)² = -4(-9)
(x - 4)² = 36
Square root both sides
√(x - 4)² = √36
x - 4 = 6
Note that x - 4 = -6 is also possible
Add 4 to both sides
x - 4 = 6
+ 4 + 4
x = 10
Note that x = -2 is also an answer. but not valid
To find the max height
Remember our zeros? x = -2, x = 10
The number in the middle would be 4
Plug 4 in place of the x in the original equation
(4 - 4)² = -4(y - 9)
(0)² = -4(y - 9)
0 = -4(y - 9)
You can divide both sides by 4
0/4 = (-4(y - 9))/4
0 = y - 9
+ 9 + 9
y = 9
Vertex is (4,9); or in other words, 9 feet is the max height
On a trip, a student drove 42 miles per hour for 3 hours and then drove 26 miles per hour for 5 hours. What is the student’s average rate of speed, in miles per hour, for the whole trip
Answers
Answer:
34 mph Is correct answer
Step-by-step explanation:
Average speed = total distance / total time
Total distance = ( 40 × 2 + 30 × 3 )
= 170 miles
Total time = 5 h
So, avg speed = 170/5 = 34 mph
(Hope this helps can I pls have brainlist (crown)☺️)
Given b = 40 and c=-16, b + c is equal to the product
of -4 and what number?
F.-14
G.-6
H.6
J.14
K. 160
Answers
Answer:
-6
Step-by-step explanation:
40-16=24
24/-4=-6
(b + c) is equal to the product of -4 and -6.
What is the Product of two numbers?The product of two numbers is the result you get when you multiply them together.
Given that b = 40 and c = -16
(b + c) = 40 -16 = 24
24 = -4*-6
Hence, (b + c) is equal to the product of -4 and -6.
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if m = 3 + n = -4 calculate the value of mn+n and two to its second power
Answers
Answer:
28
-4 × 4 = 16
3 × 4= 12
12 + 16 =28
PLEASE HELP ME ASAPP if can of not then just leave it
Answers
Answer:
b
Step-by-step explanation:
20) In the town of Eagle Pass, 5 out of 13 vehicles are trucks. What
percent of the vehicles are trucks? Round to the nearest tenth. *
48.5%
38.5%
24.5%
12.5%
Answers
Answer:
38.5%
Step-by-step explanation:
5/13=38.5.........
Answer:
38.5%
Step-by-step explanation:
1. 5 - 13 = 0.38461538461
2. 0.3846 [1538461] - take away most of the extra numbers
3. 0.3846
4. Round it to the nearest tenth - 0.385
5. Take your answer and times my 100 - 0.385 * 100 = 38.5
and make that into a percentage - 38.5%
5. Show that 12 is not a square number. Use a diagram, mathematical symbols
and then a word sentence.
Answers
Answer:
if y=x^2 the x and y chart would be as follows
x y
1 1
2 4
3 9
x 12
4 16
5 25
This shows that the x which would produce twelve is between three and 4 and thus not a perfect square
9<12<15 thus 3<x<4
12 is not a perfect square because the square of 3 is 9 and the square of 4 is 16, and since 12 lies between 3 and 4, we know that the number that would be squared to produce twelve must be a decimal between 3 and 4.
Step-by-step explanation:
A perfect square is a number that can be produced from squaring a counting number (...-3,-2,-1,0,1,2,3...)
This means that determining a perfect square comes down to knowing the squares of 1-10 so that you can create a table and determine where the number lies or between what numbers it would occur. If it is a perfect square it will already be on the table with little to no analysis necessary.
Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for $35, then took 5 hours of group snowboarding lessons. Victor paid $175 in all.
Which equation can you use to find how much Snowy Ridge charges, x, for each hour of group snowboarding lessons?
How much does Snowy Ridge charge for each hour of group snowboarding lessons?
Answers
Snowy Ridge charges $28 for each hour of group snowboarding lessons.
Let x represent how much Snowy Ridge charges for each hour of group snowboarding lessons.
Since he rented a snowboard for $35, then took 5 hours of group snowboarding lessons. Victor paid $175 in all, hence:
175 = 5x + 35
5x = 140
x = $28 per hour
Therefore Snowy Ridge charges $28 for each hour of group snowboarding lessons.
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What are the next three terms of the geometric sequence 32, -16, 8, …?
Answers
Hello there!
A Geometric sequence is a sequence where we use multiplication or division to get to the next term.
Here, we use division.
32, -16..
What did we do to get from 32 to -16?
We divided 32 by -2, didn't we?
Now, to get from -16 to the next term, what we must do is divide by -2 again.
The answer is 8. Why? Why not -8? Because when we multiply or divide a negative number by a negative number, we get a positive number.
32, -16, 8,
We do the same thing with the next term:
32, -16, 8, -4
Divide -4 by -2:
32, -16, 8, -4, 2
And again divide by -2:
32, -16, 8, -4, 2, -1.
Hope this helps!
[tex]ANSWERED:\\GraceRosalia\\************************************************************************\\COMMENT:\\BRAINLIEST\\PLEASE[/tex]
I have 50 questions to complete in 45 minutes. How much time per question can I have in order to complete all 50 questions in 45 minutes?
Answers
Answer:
54 Seconds per question
Step-by-step explanation:
45/50*60
Does -a squared = (-a) squared Explain why or why not.
Answers
Answer:
Yes
Step-by-step explanation:
This is because based on this equation PEMDAS/Order of operation says that you will get the same answer no matter whether there are parenthesis or not.
PLEASE HELP WILL MARK BRAINLIEST!! (THANK YOU)
Answers
1=58
2=122
3=58
Answer:
1 - 58°
2 - 122°
3 - 58°
Step-by-step explanation:
Important notes:
• Vertical Angles Theorem - The angles that are opposite to each other on an intersection of 2 lines are always congruent.
• Linear Pair - The two angles that are formed when a straight line is split. Linear pairs are supplementary angles.
• Supplementary Angles - An angle pair whose total measure = 180°.
Angle 1 is supplementary to the angle with measure 122°.
So, ∡1 = 180 - 122.
∡1 = 58°
Based on the Vertical Angles Theorem, ∡1 ≅ ∡3, so ∡3 is also 58°.
Based on the Vertical Angles Theorem, ∡2 ≅ 122°, so ∡2 = 122°.
∡1 = 58°
∡2 = 122°
∡3 = 58°