Answer:
6 grams of gummy worms, 2 grams of candy corn and 2 grams of sourballs.
Step-by-step explanation:
Let the number of pounds of each ingredient be as follows:
Gummy Worms = x pounds
Candy Corn = y pounds
Sourballs = z pounds
The store makes a mixtures of 10 pounds. This means the sum of x, y and z would be 10. Setting up the equation:
[tex]x + y +z = 10[/tex] (Equation 1)
The mixture calls for 3 times as many gummy worms as candy corn. This means amount of gummy worm will be 3 times the candy corn. Setting up the Equation:
[tex]x=3y[/tex] (Equation 2)
Cost of gummy worms is $1.00 per pound, candy corn cost $3.00 per pound, and sourballs cost $1.50 per pound. So cost of x, y and z pounds would be:
1x , 3y and 1.5z, respectively. The total cost of mixture is $15. So we can set up the Equation as:
[tex]x+3y+1.5z=15[/tex] (Equation 3)
Using the value of x from Equation 2, in Equations 1 and 3 give us following two equations:
[tex]4y+z=10[/tex] By substitution in Equation 1. (Equation 4)[tex]6y+1.5z=15[/tex] By substitution in Equation 3. (Equation 5)
Multiplying the Equation 4 by 1.5 and subtracting from Equation 5 gives us:
[tex]6y +1.5z-1.5(4y+z)=15-1.5(10)\\\\ 6y+1.5z-6y-1.5z=15-15\\\\ 0=0[/tex]
When two sides of equations turn into something that is always positive, we conclude that there are infinite number of solutions. In such cases, we fix a variable and give different values to it, to find corresponding values of other variables. Lets re-write the solution in terms of z.
From Equation 4, we have:
[tex]y=\frac{10-z}{4}[/tex]
From Equation 2, we have:
[tex]x=3(\frac{10-z}{4} )[/tex]
Therefore, the solution set will be:
[tex](3(\frac{10-z}{4} ), \frac{10-z}{4} , z)[/tex]
Now in order to find any combination of ingredient, we give any value to z. Let, z is equal to 2 grams.
So,
x would be = 6 grams
y would be = 2 grams
So, one of the possible amount of ingredients that store can use is:
6 grams of gummy worms, 2 grams of candy corn and 2 grams of sourballs.
Michael, Trina, and Vanessa work together to mow lawns in their neighborhood. Michael mowed 8 lawns in 3 days, Trina mowed 5 lawns in 2 days, and Vanessa mowed 9 lawns in 4 days. Find the unit rate in lawns per day for each person and place the unit rates in order from least to greatest.
Final answer:
The unit rates in lawns per day for Michael, Trina, and Vanessa are 8/3, 5/2, and 9/4 respectively. The unit rates are in order from least to greatest.
Explanation:
To find the unit rate in lawns per day for each person, we will divide the number of lawns mowed by the number of days it took for each person.
For Michael, he mowed 8 lawns in 3 days, so the unit rate is 8/3 lawns per day.
For Trina, she mowed 5 lawns in 2 days, so the unit rate is 5/2 lawns per day.
For Vanessa, she mowed 9 lawns in 4 days, so the unit rate is 9/4 lawns per day.
Placing the unit rates in order from least to greatest, we have:
Trina: 5/2 lawns per day
Michael: 8/3 lawns per day
Vanessa: 9/4 lawns per day
A prism whose base is a 9-sided polygon is intersected by a plane. In which case could the cross section be a 10-sided polygon?
The cross-section will be a 10-sided polygon only when the plane makes a narrow angle with the base, i.e. it will cut one base and 8 edges of the prism, resulting in there being 10 points of intersection, leaving a 10-sided polygon as the cross-section.
Answer:
D
Step-by-step explanation:
I took it rate this one
Alexandra and her children went into a grocery store and she bought $7.65 worth of
apples and bananas. Each apple costs $1.75 and each banana costs $0.40. She bought
a total of 9 apples and bananas altogether. Determine the number of apples and the
number of bananas that Alexandra bought.
Answer:
[tex]\large \boxed{\text{3 apples and 6 bananas}}[/tex]
Step-by-step explanation:
Let a = the number of apples
And b = the number of bananas. Then,
[tex]\begin{array}{rcll}(1) \, 1.75a + 0.40 b & = & 7.65&\\(2)\, \, \, \, \quad \qquad a + b & = &9&\\(3) \, 0.40a + 0.40b & = &3.60&\text{Multiplied (2) by 0.40}\\1.35a & =&4.05\\(4) \, \, \quad \qquad \qquad a & =& \mathbf{3}&\text{Divided each side by 1.35}\\3 + b & = &9& \text{Substituted(4) into (2)}\\b &=& \mathbf{6}&\text{Subtracted 3 from each side}\\\end{array}\\\text{They bought $\large \boxed{\textbf{3 apples and 6 bananas}}$}[/tex]
Check:
[tex]\begin{array}{cccl}3(1.75) + 6(0.40) = 7.65 & \qquad & 3 + 6 = 9\\5.25 + 2.40 = 7.65 & \qquad & 9 = 9\\7.65 = 7.65 & \qquad & \\\end{array}[/tex]
OK.
Alexandra bought 3 apples and 6 bananas
Number of apples = a
Number of bananas = b
From the information given, the equation to use will be:
a + b = 9 ....... i
1.75a + 0.40b = 7.65 ...... ii
From equation i, a = 9 - b ...... iii
Put equation iii into ii
1.75a + 0.40b = 7.65
1.75(9 - b) + 0.4b = 7.65
15.75 - 1.75b + 0.4b = 7.65
Collect like terms
-1.75b + 0.4b = 7.65 - 15.75
-1.35b = -8.1
b = 8.1/1.35
b = 6
She bought 6 bananas
Number of apples bought = 9 - 6 = 3 apples.
Therefore, Alexandra bought 3 apples and 6 bananas
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The martins car traveled 468 miles on 18 gallons of gas. Their car averaged how many miles per gallon.
Answer: 26
Step-by-step explanation: you divide 468 and 18 and you get 26.
If f(x)=|x|+9 and g(x)=-6 what describes the value of (f+g)(x)
Answer:
x
Step-by-step explanation:
Find the surface area for number 3, will give Brainliest
Answer:
984 cm^2
Step-by-step explanation:
Base: 10 × 24 = 240
Rectangular faces: 13 × 24 = 312 (×2 = 624)
Triangular faces: 12 × 10 = 120
Add: 240 + 624 + 120 = 984
A square pyramid has a height of 18 cm. A side length of the base of 11 cm. What is
the volume of the pyramid?
Answer: 66cm^3
Step-by-step explanation:AB=a2
V=a2h
3
Solving forV
V=ABh
3=11·18
3=66cm³
HALP PLZ! WILL GIVE BRAINLIEST TO FIRST ANSWER! A health inspector conducts air quality tests on a randomly selected group of 10 classrooms at a high school. Identify the population and sample for this situation. A) The population is all classrooms in the district; the sample is the 10 classrooms selected. B) The population is all classrooms in the high school; the sample is the 10 classrooms selected. C) The population is all students in the district; the sample is the students in the 10 classrooms selected. Eliminate D) The population is all students in the high school; the sample is the students in the 10 classrooms selected.
Answer:B
Step-by-step explanation:On usa test prep
The identification of the population and the sample for the given situation is option B. The population is all classrooms in the high school; the sample is the 10 classrooms selected.
Information regarding the population:Since on a random basis, the 10 classrooms are selected.Si here the population represent the all classrooms is in the high school And the sample should be 10 classrooms selected.Learn more about the population here: https://brainly.com/question/905400?referrer=searchResults
PLS HELP 50 POINTS
I feel like i answered wrong
Question below
Answer:
Hi there!
The correct answer is: Counterclockwise rotation about the origin by 90 degrees then followed by reflection about the x axis
Answer:
Option 1
Counterclockwise rotation about the origin by 90° followed by a reflection about the x-axis
If x=2 and 3x+y=5, what is the value of y
Answer:
-1
Step-by-step explanation:
X = 2
Lets substitute the equation:
3*2 + y = 5
6 + y = 5
Using equation rules.
y = 5-6
Therefore y = -1
Answer:
y=-1
Step-by-step explanation:
3x+y=5
When x=2
Substitute the value of x in the above equation
3(2)+y=5
6+y=5
Collect like terms
y=5-6
y=-1
PLEASE HELP! 30 PTS!! Explain how to find the height of this rectangular prism, given a volume of 360 in.3, a length of 24 in., and a width of 3 in.
Answer:
The height is 5 in
Step-by-step explanation:
V = l*w*h
Substitute in what we know
360 = 24 *3*h
360 = 72h
Divide each side by 72
360/72 = 72h/72
5 = h
The height is 5 in
Answer:
The height is 5 inches
Step-by-step explanation:
Knowing that he volume of a rectangular prism is V = L*W*H, it is given that V = 360, L = 24, and W = 3. Substitute these values into the equation and get 360 = 24*3*H. This can simplify to 360 = 72*H and by dividing both sides by 72, you get H = 5. This means that he height is 5 inches.
1. 9x + 16 = 4x - 19
Answer:
x=-7
Step-by-step explanation:
9x + 16 = 4x - 19
Subtract 4x from each side
9x-4x + 16 = 4x-4x - 19
5x+16 = -19
Subtract 16 from each side
5x+16 -16 = -19-16
5x = -35
Divide each side by 5
5x/5 = -35/5
x = -7
Answer:
x = -7
Step-by-step explanation:
solvein order to solve this , make x the subject of formula:
9x + 16 = 4x - 19
9x + 16 - 4x = -16
5x = -19 - 16
5x =-35
x = -35 / 5
x = -7target sells 25 bottles of water for 3 dollars, and 36 bottles for 4 dollars. Which is a better buy and by how much? PLEASE REPLY ILL GIVE BRAINLIEST
Answer:
36 bottles for 4 is a slightly better deal per bottle.
Step-by-step explanation:
3÷25=0.124÷36=0.11111111The cost per bottle is 0.1111111$ per bottle in the 36 pack.
Answer:
36 bottles for $4
Step-by-step explanation:
First you need to calculate the price for one bottle, the lower the cost, the better buy. Do this by dividing the price by the amount of bottles:
= $3 ÷ 24
= 0.125 cents
= $4 ÷ 36
= 0.111 cents
The cheaper option and the better buy is the 36 bottles for $4.
Whats the opposite?
a. Running 150 feet east.
b.jumping down 10 steps.
c.Pouring 8 gallons into a fish tank.
The opposite statements are :
Running 150 feets west Climbing up 10 steps Drawing 8 gallons from a fish tankThe opposite statements are those which negates a given sentence in terms of direction or magnitude .
For A.
West is the opposite of EastFor B.
Climbing up is the opposite of jumping downFor C.
Drawing from is the opposite of pouring into.Solve this equation -8-x=x-4x
Answer:
x=4
Step-by-step explanation:
-8-x=x-4x
Combine like terms
-8 -x =-3x
Add x to each side
-8 -x+x = -3x+x
-8 = -2x
Divide each side by -2
-8/-2 = -2x/-2
4 = x
4- x2 =-32
The equation above is true for what value of x, where
x>0?
Answer:
x= -6
Step-by-step explanation:
first you want to get rid of the 4 so on both sides you subtract 4
4-x²=-32
-4 -4 that will then make the problem
-x²= -36 to get rid of the square you must do the opposite, square root ([tex]\sqrt{36}[/tex]) so it will get rid of the ²
-x= 6 then you have to get rid of the neggative on x so you will add a negative to 6
x=-6
Consider the transformation shown in the coordinate plane, which statement is NOT TRUE for similarity transformations? A ) A similarity transformation is a composition of a finite number of dilations or rigid motions B) Two figures are similar if there exists a similarity transformation that maps one figure onto the other in a similarity transformation all corresponding pairs ) angles are congruent and all corresponding pairs of sides are congruent a similarity transformation alt corresponding pairs D of angles are congruent and all corresponding pairs of sides are proportional
Answer:
C) angles are congruent and all corresponding pairs of sides are congruent a similarity transformation alt corresponding pairs
The correct statement for similarity transformations is D) In a similarity transformation, all corresponding pairs of angles are congruent and all corresponding pairs of sides are proportional.
Explanation:A similarity transformation is a type of transformation that preserves the shape of a figure but can change its size and orientation. It is characterized by the property that all corresponding pairs of angles are congruent and all corresponding pairs of sides are proportional.
The statement that is NOT TRUE for similarity transformations is A) A similarity transformation is a composition of a finite number of dilations or rigid motions.
A similarity transformation is a type of transformation that preserves the shape of a figure but can change its size and orientation.
The correct statement for similarity transformations is D) In a similarity transformation, all corresponding pairs of angles are congruent and all corresponding pairs of sides are proportional.
This means that the angles in the original figure and the transformed figure are equal, and the ratio between corresponding side lengths remains the same.
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(6x-3y - 12
- (2x+2y=10
Answer:
8x - 5y - 13
Step-by-step explanation:
(6x - 3y - 12) - (2x +2y - 10)
(6x - 3y - 12) - 2x - 2y + 10
6x - 3y - 23 - 2x - 2y + 10
8x - 5y - 13
Answer:
4x+y=22
Step-by-step explanation:
6x+3y-12-(2x+2y)=10
Based on BODMAS we will have to deal with the bracket first
6x+3y-12-2x-2y=10
To continue with the solution we will have to collect like terms
That is,
6x-2x+3y-2y=10+12
4x+y=22
This can't be solved further because we don't really know the value of x and y...it can only be solved further by knowing the value of either x or y but we are not given...so we will have to leave our final answer to be
4x+y=22
Need help ASAP!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
[tex]\frac{x^{4}+6x^{3}+5x^{2} -15x-2} {x+3}[/tex]
Answer:
Option 4
Step-by-step explanation:
x + 3 x = -3
(-3)⁴ + 6(-3)³ + 5(-3)² - 15(-3) - 2
= 7
Remainder is 7, so not a factor
AER Petrochemicals
Crude Oil Production Breakdown for Last Year
Kerosene: 14%
Lubricating Oil: 5%
Gasoline: 34%
Other Products: 18%
Diesel: 29%
Total production from Crude oil - 60 million barrels
Question 1 of 3
What was the total production of Gasoline and Kerosene combined (in
barrels)?
288,000 480,000 26.4 million * 28.8 million
48 million
Answer:
28.8 million barrels.
Step-by-step explanation:
The percentage of production of Gasoline and Kerosene from Crude oil are 34% and 14%.
So, the Gasoline and Kerosene is totally produced by (34 + 14) = 48%.
If the production of Crude oil is 60 million barrels, then the production of Gasoline and Kerosene combined from this amount of Crude oil will be
[tex]60 \times \frac{48}{100} = 28.8[/tex] million barrels. (Answer)
By taking the sum of the percentages of Gasoline and Kerosene from the total crude oil production, we find that 48% of the 60 million barrels produced was Gasoline and Kerosene, which equates to 28.8 million barrels.
Explanation:The total production from Crude oil is given as 60 million barrels. The total percentage of Gasoline and Kerosene is obtained by adding the individual percentages. Gasoline is 34% and Kerosene is 14%, so the total is 48%.
To find the total production of Gasoline and Kerosene, we must multiply this percentage by the total production.
Calculation: 48/100 * 60 million = 28.8 million barrels
So, the total production of Gasoline and Kerosene combined was 28.8 million barrels.
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A regulation softball has a 3 in. diameter.
What is its approximate volume?
Use π=3.14 in your calculations. Round your answer to the nearest whole number.
Answer:
v=14
Step-by-step explanation:
The volume of a regulation softball with given diameter is 14 cubic inches.
What is the volume of a sphere?The volume of sphere is the measure of space that can be occupied by a sphere. If the radius of the sphere formed is r and the volume of the sphere is V. Then, the volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³.
Given that, diameter of a softball is 3 inches.
Here, radius = 3/2 = 1.5 inches
Now, volume = 4/3 ×3.14×1.5³
= 14.13 cubic inches
≈ 14 cubic inches
Therefore, the volume of a regulation softball with given diameter is 14 cubic inches.
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Which factor makes capitalism such a successful economic system?
Business owners have the right to take private property from citizens if it benefits the overall economy.
Banking regulators work to limit the possibility of economic problems.
Individual citizens have the freedom to take risks and improve their lives.
Public corporations make jobs available to those who want them.
Answer:
C. Individual citizens have the freedom to take risks and improve their lives.
Step-by-step explanation:
can you pls help me out? i would sincerely appreciate it!!
Step-by-step explanation:
Step 1: Given
BD bisects ∠ADC
Step 2: Given
BD ⊥ AC
Step 3: Corresponding Parts of Congruence Triangles are Congruent
∠1 ≅ ∠2
Step 4: By definition of perpendicular
∠ABD = ∠CBD = 90° (BD ⊥ AC )
∠3 and ∠4 are right angles.
Step 5: By CPCTC,
∠3 ≅ ∠4
Step 6: Reflexive postulate
Any side or angle is reflexive to itself.
DB ≅ DB
Step 7: ASA postulate
∠1 ≅ ∠2 (A), DB ≅ DB (S) and ∠3 ≅ ∠4 (A),
∴ ΔABD ≅ ΔCBD (by ASA)
Step 8: By Corresponding Parts of Congruence Triangles are Congruent
DA ≅ DC
Step 9: Opposite sides of a triangle are equal.
ΔACD is isosceles.
Hence proved.
Which number is irrational?
49√
17√
0.06¯¯¯
1/6
The 0.06 is repeating
Answer: the square root of 17 is irrational.
Step-by-step explanation:
17 can not be divided evenly therefor it is irrational
4. © MP.7 Look for Patterns
Marvin counts
six $5 bills. Write each
value that he
counts. What pattern do
you see in the
ones digits of the values
he counts?
Answer:
Marvin has 30 dollars
Step-by-step explanation:
there are 6 five dollar bills you could either multiply or add theses numbers.
1 2 3 4 5 6
5 10 15 20 25 30
the scale of map is 1cm to 8km , two towns are 52km apart . how far apart are the two towns on the map
Answer:
6.5 cm
Step-by-step explanation:
The solution to the question above is solved in the attached picture.
Use substitution to it
7) 4x – 2y=-22
-x+y=3
What’s the answer to this ?
Answer:
2/5
Step-by-step explanation:
The unit rate is: change in y over change in x
This graph goes up 2 and moves to the right 5, that means it is 2/5
Answer: 2/5
4.5(32÷8)+12
please help me steps por favor
Answer:
30
Step-by-step explanation:
4.5(32÷8)+12
32/4 = 4
4.5 x 4 = 18
18 + 12 = 30
Answer:
30
Step-by-step explanation:
PEMDAS
32/8 =4
4.5*4=18
18+12=30
Given the scatter plot, choose the function that best fits the data.
scatter plot with data points that form an upward curve staring at the origin and continuing to the right
f(x) = 3x
f(x) = −3x
f(x) = 3x
f(x) = 3x2
Answer:
D) 3x^2
Step-by-step explanation:
It starts at the origin, then it curves. But if you look at it, you can see the dots getting higher and more spaced out.
It's like 4x^2, but a little more spaced out.
Therefore, it is D.