Answer:
They made and sold 7 masks with elastics in the month of April.
They made and sold 20 masks that tie in the month of April.
Step-by-step explanation:
Let the number of masks with elastic made and sold be x
And the number of masks that tie made and sold be y
Since the price of making one mask with elastic is $1.70
The total amount spent on making x masks with elastic = 1.7x
The price of making one mask that ties is $1.30
The total amount spent on making the masks that tie = 1.3y
Total cost price = 1.7x + 1.3y = 37.90 (eqn 1)
They are selling the masks with elastics for $5.60 and the masks that tie for $5.40.
Total revenue made from selling x masks with elastic = 5.6x
Total revenue made from selling y masks that tie = 5.4y
Total revenue = 5.6x + 5.4y = 147.20 (eqn 2)
Writing the two equations together
1.7x + 1.3y = 37.9
5.6x + 5.4y = 147.2
Solving the simultaneous equation
x = 7 and y = 20
Hence, they made and sold 7 masks with elastics and 20 masks that tie in the month of April.
Hope this Helps!!!
How many solutions are there to this system of equations?
A) One solution
B)No solution
C)Infinitely many solutions
D)It cannot be determined without solving it.
First-line - y = 1/4 (x - 4)
Second-line = y = 1/4x - 1
Answer:
one
Step-by-step explanation:
A rectangular prism has the dimensions of 2in, 5in, and 7in. What is the volume of the prism?
6) The Artisan Pizza Co sells take-out pizza in two shapes: an "individual” 6-in. square slice and a circular "party"
wheel with an 18 in. diameter. The party wheel is cut into 8 slices/sectors for the customer. An individual square
slice costs $2.95 and the entire party wheel costs $15.95.
a. Which is larger: The square slice or one section of the party wheel?
b. Which option has a better value? (Hint: you are comparing the cost and area for the square slice and the
cost and area for the WHOLE party wheel...not just a slice)
Answer:
132
Step-by-step explanation:
Derrick surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred. The table below shows the result of the survey:
Hamburgers Spaghetti Pizza
Sample #1 43 13 44
Sample #2 41 20 39
Which of the following inferences can be made based on the data? (5 points)
Pizza is the most preferred lunch.
Spaghetti is two times more popular than pizza.
Hamburgers and pizza are preferred almost equally.
Spaghetti is two times more popular than hamburgers.
Answer:
Hamburgers and pizza are preferred almost equally.
Step-by-step explanation:
Both numbers are very close to each other
The graph of the function, f(x) = - x2 - 3x + 1, opens and has a, value.
Answer:
downward, maximum value
Step-by-step explanation:
f(x) = - x^2 - 3x + 1
The negative in front of the x^2 means the graph opens downwards
The y intercept is 1
Because it opens downward it has a maximum value
Answer:
Opens downwards and has a maximum value
Step-by-step explanation:
f(x) = -x² - 3x + 1
a is the coefficient of x², which is -1
Since a < 0, it's a concave down graph which opens downwards. Therefore it has a maximum turning point
Katherine wants to classify the quadrilateral below. Select all of the names that apply.
A. Quadrilateral
B. Square
C. Parallelogram
D. Rectangle
E. Rhombus
Answer:
a, c, and e
Step-by-step explanation:
quadrilateral= a four-sided figure
square= a plane figure with four equal straight sides and four right angles
parallelogram= a four-sided plane rectilinear figure with opposite sides parallel
rectangle= a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square
rhombus =a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides
Answer:
A,B,D
Step-by-step explanation:
I had this question on a test and these were the correct answers. So this is guaranteed correct!
Simplify
(3^5)2
3-^2
Answer:
2(3^5) = 6^5
Step-by-step explanation:
Answer:
3^12
Step-by-step explanation:
I inputted the equation into a calculator
Got 531441
And tried each option to see if the answers matched
inverse of f(x)=50000(0.8)^x
Answer:
Step-by-step explanation:
what is the sum of the fractions below?
2/3 +3/4
Answer:
17/12 or 1 5/12
Step-by-step explanation:
Hi Guys! if anyone can help me with this please do! I need to solve for X and the triangles in each pair are similar.
Answer:
x=6
Step-by-step explanation:
We can use ratios to solve
18 4x+6
--------- = -------------
24 40
Using cross products to solve
18*40 = 24 * (4x+6)
720 = 24*(4x+6)
Divide each side by 24
720/24 = 24/24 (4x+6)
30 = 4x+6
Subtract 6 from each side
30-6 = 4x+6-6
24 = 4x
Divide each side by 4
24/4 = 4x/4
6 = x
Which shape is NOTa trapezoid
Answer:
The bottom left
Step-by-step explanation:
it has no pairs of parallel sides
Answer:
Step-by-step explanation:
Trapezoid should have a pair of parallel lines.
Bottom left figures does not have parallel lines. So it is not a trapezoid.
i just need this question
PLEASE HELP I NEED THIS image below
Answer:
64
Step-by-step explanation:
You need to do 4*4*4 to get your answer.
Hope this helps.
Answer:
64
Step-by-step explanation:
Because 4×4 is 16 and 16 ×4 is 64
Does anyone know this
Answer:
It is A
Step-by-step explanation:
The square route of 174 is 13.190906. Didn't use a calculator.
Explain the Pythagorean theorem.
A. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.
B. The Pythagorean theorem states that if the square of one side of a triangle is less
than the sum of the squares of the other two sides, then the triangle is a right triangle.
C. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs equals the square of its hypotenuse.
D. The Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle.
Answer:
I believe the answer is C
Step-by-step explanation:
Hope this helps you out!
Answer:
Step-by-step explanation:
c
Find the area of a triangle whose sides are 12 cm 6 cm and 14 cm
Answer:
32
Step-by-step explanation:
add 12 + 6 + 14
one hundred fifty moviegoers were surveyed, 20% said they would recommend the movie they just saw. how many of the moviegoers said they recommend the movie?
Answer:
30
Step-by-step explanation:
150/100 = 1.5
1.5 is 1% of 150
20% of moviegoers recommend the movie
1.5 times 20 = 30
I need to know this right now :(
Answer:
40000
400
Step-by-step explanation:
40000 because 4000 * 10 = 40000
400 because 1 / 10 of 4000 = 400
Answer:
ok so 1/2 is your answer 1/4 divide = 1//2 !
Step-by-step explanation:
Correct answers only please!
Correct answers only!
To the nearest cent, how much will she have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$ 6.30
Step-by-step explanation:
A = P + I where
P (principal) = $ 6.00
I (interest) = $ 0.30
A = P(1 + r/n)nt
What is the slope of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,-7)(5,−7)left parenthesis, 5, comma, minus, 7, right parenthesis?
Answer:
-3/2
Step-by-step explanation:
We can find the slope between two points using
m = (y2-y1)/(x2-x1)
= (-7 - -1)/(5 - 1)
(-7+1(/(5-1)
-6/4
-3/2
Answer:
4
Step-by-step explanation:
i did khan :)
Jon collects 2,578 ounces of honey from his beehives. He will put the honey in
jars thert hold 6 ounces each. Which expression is best to estimate the number of
jars Jon can fill with honey?
Answer:
2,578 = 6X
Step-by-step explanation:
Given:
Total weight of honey collected = 2,578 ounce
Each jar hold honey = 6 ounce
Find:
Expression to estimate number of jars can fill :
Computation:
Assume ,
Total number of jars can fill = X
So,
Total weight of honey collected = Total number of jars × Each jar hold honey
2,578 = 6 × X
2,578 = 6X
factorise : x^2y^2-16
Answer:
(xy - 4)(xy + 4)
Step-by-step explanation:
x²y² - 16 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x²y² - 16
= (xy)² - 4²
= (xy - 4)(xy + 4)
4: From each corner of a square table a quarter of a circle is cut off. The sides of the square table are 5 cm. Each of the circular parts have a radius of 1 cm. Find the area of the shaded part of the square table in cm2.
The figures were not drawn to scale.
Answer: (25 – π)
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hundredth. Two cylinders. The circumference of the base of cylinder A is 3 meters and the height of the cylinder is 5 meters. The circumference of the base of cylinder B is 5 meters and the height of the cylinder is 3 meters. Cylinder A has a volume of m3, and Cylinder B has a volume of m3. Cylinder has the greater volume.
Answer:
Cylinder A has a volume of [tex]3.58 m^3[/tex], Cylinder B has a volume of [tex]9.92 m^3.[/tex]Cylinder B has a greater volume.Step-by-step explanation:
Cylinder A
Base Circumference=3 meters
[tex]2\pi r =3\\r=\frac{3}{2\pi}[/tex]
Height=5 meters.
Volume [tex]=\pi r^2 h[/tex]
[tex]=\pi (\frac{3}{2\pi})^2 X5\\=\frac{9X5}{4\pi}\\\\=\frac{9X5}{4*3.14}\\\\=3.58m^3[/tex]
Cylinder A
Base Circumference=5 meters
[tex]2\pi r =5\\r=\frac{5}{2\pi}[/tex]
Height=3 meters.
Volume [tex]=\pi r^2 h[/tex]
[tex]=\pi (\frac{5}{2\pi})^2 X5\\=\frac{25X5}{4\pi}\\\\=\frac{25X5}{4*3.14}\\\\=9.92m^3[/tex]
Cylinder A has a volume of [tex]3.58 m^3[/tex], and Cylinder B has a volume of [tex]9.92 m^3.[/tex]
Cylinder B has a greater volume.
You are holding a kite string in your hand. The angle of elevation from your hand to the kite is 44º and the distance to the kite is 250 feet.
Your hand is 5 feet above the ground. How high is the kite? Round your answer to the nearest tenth of a foot.
feet
The equation of a line in the point-slope form is show below.
y – 9 = 1/5(x-2)
What is the slope of this line?
Answer:
the answer is m = 1/5
Step-by-step explanation:
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the given equation of the line is 0.2.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c, slope intercept form
y - y₁ = m(x - x₁), point-slope form
where,
x and x₁ are the coordinates of the x-axis,
y and y₁ are the coordinates of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The equation of a line in the point-slope form is y–9=(1/5)(x-2). Therefore, the slope of the line is (1/5).
Learn more about Equation of Line:
https://brainly.com/question/21511618
#SPJ2
Add or subtract by first changing the mixed numbers to improper fractions.
A: 3 1/3 + 5 3/4
Answer:
10/3 and 23/4
Step-by-step explanation:
Answer:
9 1/12
Step-by-step explanation:
3 1/3 + 5 3/4
Get a common denominator of 12
3 1/3*4/4 + 5 3/4 *3/3
3 4/12 + 5 9/12
8 13/12
8 + 12/12 + 1/12
8+1+1/12
9+1/12
9 1/12
Changing to improper fraction
3 1/3 = ( 3*3+1)/3 =10/3
5 3/4 = ( 4*5+3)/5 =23/4
Getting a common denominator
10/3 * 4/4 = 40/12
23/4 *3/3 =69/12
-------------
109/12
12 goes into 109 9 times
9*12 = 108 and that leaves 1 left over
9 1/12
There are 200 Counters in a bag. 50 of them are taken out. And have a dab of white paint placed on them. these 50 marked counters are now put it back in the bag which is given a good shake. 80 counters are now taken out. About how many of them would you expect to be marked with a dab of white paint?
Answer:
20 Counters
Step-by-step explanation:
Total number of counter in a bag= 200 Counters
If 50 Counters out of the total have white paint, the value is then represented as
= 50/200
=1/4
The initial 50 Counters taken out is then put in the bag again and mixed thoroughly to get an even distribution.
If 80 Counters are taken out of the bag, the value is represented as
= 1/4×80
=80/4
=20
Therefore, 20 Counters are expected to be marked with a dab of white paint.
Please solve for x. I need this answered.
2.5x - 3 + 2x = 1.75x - 1.25x + 13
4.5x - 3 = 0.50x + 13
4.0x = 16
x = 4
Answer: 4
2. We'll assume those xs are in the numerator
(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1
(6/7)x - 1/4 = (6/7)x - 1/4
0 = 0
That's always true.
Answer: Any x is a solution.
Answer:
2.5x - 3 + 2x = 1.75x - 1.25x + 13
4.5x - 3 = 0.50x + 13
4.0x = 16
x = 4
Answer: 4
2. We'll assume those xs are in the numerator
(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1
(6/7)x - 1/4 = (6/7)x - 1/4
0 = 0
That's always true.
The coordinates for a quadrilateral are (0, 0), (-1, 2), (1, 6) and (2, 4). Determine the type of quadrilateral.
Group of answer choices
Parallelogram
Square
Rhombus
Rectangle
Answer:D is a rectangle
Step-by-step explanation: