Answer:
She should make 122 Styrofoam lions and 268 Styrofoam Husky's
The maximum profit, she makes is $1109
Step-by-step explanation:
The given information are;
The volume required to make each lion = 8 oz
The time it takes to make each lion = 35 minutes
The amount of profit each lion brings = $2.50
The volume required to make each Husky = 12 oz
The time it takes to make each Husky = 20 minutes
The amount of profit each Husky brings = $3
Let the number of lion Styrofoam cups she makes = x
Let the number of Husky Styrofoam cups she makes = y
Therefore, we have;
x × 35 + y × 20 = 9650..........(1)
x × 8 + y × 12 = 3840.............(2)
Dividing equation (2) by 8 and making x the subject, we get;
x × 8/8 + y × 12/8 = 3840/8
x + 4/3·y = 480
x = 480 - 4/3·y
Substituting the value of x in equation (1) gives;
(480 - 4/3·y) × 35 + y × 20 = 9650
16800 - 80/3·y = 9650
y = 268.125
x = 480 - 4/3·y = 480 - 4/3×268.125 = 122.5
Therefore, she can make 122 Styrofoam lions and 268 Styrofoam Husky's
The maximum profit, she makes is therefore given by the following equation;
The maximum profit = 122 × 2.5 + 268 × 3 = $1109.
Round 82,236 to the nearest ten thousand.
Answer:
80,000
Step-by-step explanation:
2<5 thus you round down
Can somebody please help me ?? :)
Answer:
first option
Step-by-step explanation:
Multiplying a complex number by its conjugate gives a real number and thus removes imaginary numbers in the denominator.
If z = a + bi then its conjugate is a - bi and their product
(a + bi)(a - bi) → where a and b are real
= a² + b² ← a real number
Anyone know how to do this? Need answers ASAP
Answer:
Sutraction property of equality
Step-by-step explanation:
are the trianlges congruent. am I right?
Answer:
The triangles are congruent.
Step-by-step explanation:
Don't let those little lines mess up. Both triangles have the same shape and size. They are congruent.
1: if Tim does not buy DEF, how many can he spend on ABC?
2: how many shares of ABC can he buy if he does not buy DEF?
3: if the selling price is $1,750, how much will Tim have earned by investing?
4: what is the total return divided by the total cost In this example?
Answer:
1. $1400
2 329.4 shares
3. $350
4. 1.25
Step-by-step explanation:
1. if Tim does not buy DEF, how many can he spend on ABC?
From the attached image
100 shares for ABC = $425
100 shares for DEF $600 + $375 commission
Therefore, the amount he can spend on ABC without buying DEF = $600 + $375 + $425 = $1400
2: how many shares of ABC can he buy if he does not buy DEF?
$425 = 100 shares
$1400 =
Cross Multiply
= $1400 × 100 shares/ $425
= 329.41176471 shares
= 329.4 shares
3: if the selling price is $1,750, how much will Tim have earned by investing?
The cost of buying ABC = $1400
The Amount earned from investing = $1750 - $1400
= $350
4: what is the total return divided by the total cost In this example?
Total return = $1750
Total cost = $1400
= $1750/$1400
= 1.25
i need help quick!! this is unit 1:geometry basics. homework 5: angle relationships if anyone know tell me
Answer:
Five angle relationships are;
1) Adjacent angles
2) Alternate exterior angles
3) Corresponding angles
4) Alternate interior angles
5) Vertically opposite angles
Step-by-step explanation:
1) Adjacent angles;
Adjacent angles are angles that lie side by side to each other and have no common interior points
2) Alternate exterior angles are angles located on the opposite location of a transversal that crosses two lines and both are on the external region of the lines that are crossed by a transversal
Alternate exterior angles are equal where the two lines crossed by the transversal are parallel
3) Corresponding angles are angles located on corresponding side of a two lines that are crossed by a transversal
4) Alternate interior angles, are angles located on the opposite location of a transversal that crosses two lines and both are on the internal region of the lines that are crossed by a transversal
5) Vertically opposite angles, are angles formed on the opposite sides where two lines cross. Vertically opposite angles are always equal.
You and a friend are heading to Frankie's Fun Park (Columbia, SC). You have $100 for the day, and plan to spend your time riding the go-carts for $8 per ride (r), and using the batting cages, for $6 per set of baseballs (s). What is the equation for the total number of rides on the go-carts and sets of baseballs you can get at the batting cages for your total amount of money you brought? If you ride the go-carts 14 times, how many sets of baseballs can you get at the batting cages according to the equation?
Answer:
[tex]8r + 6s = 100[/tex] --- (a)
[tex]s = -2[/tex] ---- (b)
Step-by-step explanation:
Given
Per ride (r) = $8
Per baseballs (s) = $6
Total = $100
Required
Represent using an equation
If 1 ride is $8.
r rides would be 8r
If 1 baseball is $6
s baseballs would be 6r.
So, total is:
[tex]8r + 6s = 100[/tex]
Solving (b):
Value of s when r = 14
[tex]8r + 6s = 100[/tex]
Substitute 14 for r
[tex]8 * 14 + 6s = 100[/tex]
[tex]112+ 6s = 100[/tex]
Solve for 6s
[tex]6s = 100 - 112[/tex]
[tex]6s = -12[/tex]
Solve for s
[tex]s = -12/6[/tex]
[tex]s = -2[/tex]
Given the following diagram, enter the required information.
Answer:
39° 44' 52''Step-by-step explanation:
Givenm∠DXB = 70° 15' 12''m∠DXC = 30° 30' 20''To findm∠CXBSolutionAccording to Angle Addition postulate:
m∠DXB = m∠DXC + m∠CXBTherefore
m∠CXB = m∠DXB - m∠DXCm∠CXB = 70° 15' 12''- 30° 30' 20'' = 39° 44' 52''I keep getting the answer wrong for the value please help.
Answer: d) +/- 2/3
Step-by-step explanation: Since x^2 is a exponent, to cancel it out you would have to square root both sides. Therefore, x is equal to +/- 2/3.
Answer:
D
Step-by-step explanation:
The answer is D which is ± 2/3.
x² = 36/81
The √36 is 6 and √81 is 9. So √(36/81) will be 2/3. However, the answer is ±2/3 because we are taking the square root so there's a possibility that the answer can be positive and negative.
Mimi cycled a total of 12 kilometers by making 3 trips to work. After 4 trips to work, how many kilometers will Mimi have cycled in total?
Answer
Mimi made a total of 16 kilometers
Step-by-step explanation:
Value of x
(6x+2)°
(5x+22)°
Answer:
x=20°
Step-by-step explanation:
(6x+2)° and (5x+22)° are vertically opposite angles, hence VOA angles are equal so
(6x+2)°=(5x+22)°
6x°+2°=5x°+22°.... collect the like terms
6x°-5x°=22°-2°
x°=20°
Find the center of the equation 4x2 + y2 + 8x-5= 0.
Answer:
(-1,0)
Step-by-step explanation:
Plug it into desmos graphing calculator exactly how it is.
what is 0.075 and 3.56 as a fraction
Answer:
Step-by-step explanation:
1: 3/40
2:89/25
what equation could be represented by the number line
4x - 5 - 2x = x - 5
No Solution
X=0
X=4
X=5
Answer:
x = 0
Step-by-step explanation:
Step 1: Write equation
4x - 5 - 2x = x - 5
Step 2: Solve for x
Combine like terms: 2x - 5 = x - 5Subtract x on both sides: x - 5 = -5Add 5 to both sides: x = 0Step 3: Check
Plug in x to verify it's a solution.
4(0) - 5 - 2(0) = 0 - 5
0 - 5 - 0 = -5
-5 = -5
The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.
Answer:
25.252
Step-by-step explanation:
How do I show my work for how many 3/4 are in 6???
Answer: There are 8 3/4 in 6.
Step-by-step explanation:
To find out how many 3/4 are in 6, then divide 6 by 3/4.
6 ÷ 3/4 = 8
find out the value of x in the following polygon with the formula
Answer:
50
Step-by-step explanation:
ABCD is quadrilateral. Sum of all the angles in a quadrilateral is 360. This means angle ADC will be 130.
ADE is a straight line. Angle ADC and angle CDE should sum up to 180. From here we can infer that angle CDE=x is 50
solve 2(4x+1)<3(2x-3)
Answer:
x < -5.5
Step-by-step explanation:
2(4x + 1) < 3(2x - 3)
first, treat it like an equation
2 ( 4x + 1 ) < 3 ( 2x - 3)
distribute
8x + 2 < 6x - 9
now use inverse operations
8x + 2 < 6x - 9
-2 -2
8x < 6x - 11
-6x -6x
2x < -11
/2 /2
x < -5.5
Find the length of side BC.
Give your answer to 1 decimal place.
Answer:
BC ≈ 11.9 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin58° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{14}[/tex] ( multiply both sides by 14 )
14 × sin58° = BC , thus
BC ≈ 11.9 cm ( to 1 dec. place )
The length of the side BC of the triangle is 11.58 units.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that the angle of the triangle is 58 and the hypotenuse is 14 cm.
The side BC will be calculated as,
14 × sin (58°) = BC
BC = 11.58 units
To know more about Trigonometry follow
https://brainly.com/question/24349828
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A gardener is planting a garden in the shape of a square. The gardener wants the side of the square garden to be between 15 and 18 feet long. The gardener wants to put a fence around the garden. How many yards of fencing will be required to enclose this square garden? Remember that 3 feet equals 1 yard. If every yard of fencing costs $1.50, how much will the gardener need to build the fence?
Answer:
$31.99Step-by-step explanation:
The idea begin this problem is to solve for the perimeter of the square garden using the expression for perimeter which is
Perimeter of square= 4L
given that the garden wants the side of the square garden to be between 15 and 18 ft long
Say we go with a length of 16ft (you can pick any number in the range just maintain the formula for the perimeter)
perimeter= 4(16)
perimeter= 64ft
now we have to convert ft to yard
1 yard=3ft
x yard=64ft
cross multiply we have
x=64/3
x=21.33 yards
given that a yard cost $1.5, therefore 21.33 yards will cost
=21.33*1.5
=$31.99
What is the answer to this?
-6+13=
Answer: -6+13=7
Step-by-step explanation:
One angle of a triangle measures 118°. The other two angles are congruent. Enter and solve an equation to find the measure x of the congruent angles. An equation is = 180. The congruent angles each measure
Answer:
2x+118=180
x=31
Step-by-step explanation:
Congruent means equal so the two missing angles are same, therefore being 2x. Add 118 to 2x since it is already known and all of that is equal to 180. Solve:
2x+118=180
2x=62
X=31
Challenge The price of Stock A at 9 A.M. Was $13.63. Since then, the price has been increasing at the rate of $0.06 each hour. At noon the price of Stock B was $14.38. It begins to decrease at the rate of $0.14 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
3.75 hours
Step-by-step explanation:
Let us represent the number of hours = x
The price of Stock A at 9 A.M. Was $13.63. Since then, the price has been increasing at the rate of $0.06 each hour.
$13.63 + $0.06× x
= 13.63 + 0.06x
At noon the price of Stock B was $14.38. It begins to decrease at the rate of $0.14 each hour.
$14.38 - $0.14 × x
14.38 - 0.14x
If the two rates continue, in how many hours will the prices of the two stocks be the same?
Stock A = Stock B
13.63 + 0.06x = 14.38 - 0.14x
Collect like terms
0.06x + 0.14x = 14.38 - 13.63
0.20x = 0.75
x = 0.75/0.20
x = 3.75 hours
The prices of the two stocks will be the same after 3.75 hours
, use a number line. Start at 0. Move forward 5 and then back up 7. How many yards must he get to get back to 0?
Answer:
2 yards.
Step-by-step explanation:
If you do what was stated in the problem, you would be left at -2. So, you would need to move up 2 yards to get back to 0.
Answer:
He must move two yards to get back to zero.
Step-by-step explanation:
He started at 0.
Moved forward 5 on the number line which puts him at 5
Then he moved back 7 which puts him at -2 on the number line
So from -2 on the number line he has to move 2 spaces to the right to get back to 0.
Hope this helps!! And good luck!
Which of these describes the best situation to use a bar chart to display your data? 1. When your independent variable is qualitative, and your dependent variable is qualitative 2. When your independent variable is qualitative, and your dependent variable is qualitative 3. When your independent variable is quantitative, and your dependent variable is qualitative 4. When your independent variable is quantitative, and your dependent variable is qualitative 5. When your independent variable is qualitative, and your dependent variable is quantitative 6. When your independent variable is qualitative, and your dependent variable is quantitative When your independent variable is quantitative, and your dependent variable is quantitative
Answer:
The correct option is;
5. When your independent variable is qualitative, and your dependent variable variable is quantitative
Step-by-step explanation:
A bar graph is a graph that is used for the comparison of the measured values of different groups of items and are typically used for comparison of data that belong to different categories rather than for comparison of a continuous data set, such that the categories of the data are presented in columns of a particular category along the horizontal axis, while the vertical represents the measured value for each category
Therefore, given that the independent variable is normally presented along the horizontal axis, and the dependent variable is normally presented along the vertical axis, we have that the bar chart is best suited when the independent variable is qualitative and the dependent variable is quantitative.
Answer:
The correct answer would be 5)When your independent variable is qualitative, and your dependent variable is quantitative.
Simplify 3(2a - y) - 4(2y - a).
Answer:
10a - 11y
Step-by-step explanation:
3(2a - y) - 4(2y - a)
open the parenthesis
6a - 3y - 8y + 4a
combine like terms
6a + 4a - 3y - 8y
10a - 11y
Find and interpret the mean absolute deviation of the data.
24, 26, 28, 28, 30, 30, 32, 32, 34,36
Answer:
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Step-by-step explanation:
Jose needs to enclose a rectangular section of his yard. The perimeter of the section is 27 feet, and the area is 35 square feet. Find the length and width of the section.
Part II: The equation for area is A = LW. Substitute the expression you found for W in Part I into the area equation. Then, if the area is equal to 35 square feet, write the equation in standard form with a, b, and c as whole numbers.
how do you make this symbol on laptop ≤ ive just copied and pasted it but how do you make it???
Answer:
It's better to just copy and paste every time you need to use it but if you use it often, hold the option key and period key. This only works on an apple mac.
Btw: It might not work im not sure, since im using a chromebook...