Answer: The number of pounds of blueberries were in each pie is 2.4
Given that,
mary bought 12 pounds of blueberries to make 5 pies.
Based on the above information, the calculation is as follows:
= 2.4
A number decreased by 20 is 10 less than twice the number
Answer:
the number is 40
Step-by-step explanation:
A number decreased by 20 is 10 less than twice the number
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40
What is the distance between the points (-3, 8) and (16, 8)?
Distance: 19
Steps:
Distance (d) = √(16 - -3)2 + (8 - 8)2
= √(19)2 + (0)2
= √361
= 19
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground to the nearest tenth of a foot. y=-16x^2+261x+130
The time that the rocket will hit the ground to the nearest tenth of a foot is 17 secs.
How can the time be calculated?We were given the equation as y=-16x^2+261x+130 , thene we can equate this to zero. as
0=-16x^2+261x+130
from this we can see that this is a quadratic equation, where a= -16, b=261, c =130
Then input into the quadratic formular we have:
[tex]x=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]
Then if we input the values we have [tex]x=\frac{-261+-\sqrt{261^{2}-4*-16*130} }{2*-16}[/tex]
Then the value of x are: -0.49 and 16.79
The positive value is the time that the rocket will hit the ground. Therefore, the rocket will hit the ground after 16.79 secs.
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4. Chrissy had 4 gallons of gas in her tank when she arrived at the gas
station. She pumped gas into her car at a rate of 3/10 gallon per
second. How many gallons of gas were in the tank after s seconds?
I need Helpp asap please
Can anyone please find the slope of the lines? Picture below
Thank you!
The slope of the first and second lines will be - 3/2 and 3/5, respectively.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The points are (1, 2) and (3, -1). Then the slope of the first line is given as,
m = (-1 - 2) / (3 - 1)
m = - 3 / 2
The points are (-3, 1) and (2, 4). Then the slope of the second line is given as,
m = (4 - 1) / (2 + 3)
m = 3 / 5
The slope of the first and second lines will be - 3/2 and 3/5, respectively.
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Find the length of the segment indicated.Round your answer to the nearest tenth if necessary
Answer:
7.9
Step-by-step explanation:
a blue parallelogram has a height of 6 inches and a base of 10 inches. a scale of 2:1 was applied to the blue parallelogram to create a green parallelogram. what is the area of the green parallelogram?
On using the scale value of 2 : 1, the area of green parallelogram is obtained as 120 in².
What is a parallelogram?
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.
Height of blue parallelogram = 6 inches
Base of blue parallelogram = 10 inches
The scale value is given as = 2 : 1
Height of green parallelogram = 6 × 2 = 12 inches
Base of green parallelogram = 10 × 1 = 10 inches
It is known that area of parallelogram = base × height
So, area of green parallelogram is -
= 12 × 10
= 120 in²
Therefore, the area value is obtained as 120 in².
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(x+2)(x+8)=0 show work
The solutions of the quadratic equation:
(x+ 2)*(x + 8) = 0
are:
x = -2
x = -8
How to solve the quadratic equation?Here we have the following quadratic equation:
(x + 2)*(x + 8) = 0
And we want to solve it for x.
Remember the zero property, for any real number A, the product with zero gives:
A*0 = 0
Then:
(x + 2)*(x + 8) = 0
If either (x + 2) = 0 or (x + 8) = 0
Solving these two we get:
x + 2 = 0
x = -2
x + 8 = 0
x = -8
The two solutions of the quadratic equation are x = -2 and x = -8
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Area of triangle 8,10,16
Answer:
Area: T = 24
Perimeter: p = 24
Semiperimeter: s = 12
Step-by-step explanation:
We know the lengths of all three sides of the triangle, so the triangle is uniquely specified.
a=6
b=8
c=10
The triangle perimeter is the sum of the lengths of its three sides
p=a+b+c=6+8+10=24
The semiperimeter of the triangle is half its perimeter. The semiperimeter frequently appears in formulas for triangles to be given a separate name. By the triangle inequality, the longest side length of a triangle is less than the semiperimeter.
Heron's formula gives the area of a triangle when the length of all three sides is known. There is no need to calculate angles or other distances in the triangle first. Heron's formula works equally well in all cases and types of triangles.
Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.
Use the polygon tool to graph the dilated figure.
With point at (-2,5), (-2,2), (2,5), (2,2)
The vertices of the quadrilateral after dilation of 2 are
(-4, 10), (-4, 4), (4, 10), (4, 4).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, A quadrilateral with vertices (-2,5), (-2,2), (2,5), (2,2).
Now, Dialating this quadrilateral with a scale factor of 2 centered at the origin would multiply every vertices points by 2.
Therefore, The dilated quadrilateral has vertices,
2[ (-2,5), (-2,2), (2,5), (2,2)].
(-4, 10), (-4, 4), (4, 10), (4, 4).
The figure of this dilated quadrilateral is attached.
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Gina charges an initial fee and an hourly fee to babysit. Using the table below find the hourly fee and the initial fee that
Gina charges to babysit. Show work.
Cost in Dollars
Answer:
13 dollars
Step-by-step explanation:
Name a point that is not coplanar with R, S, and T.
The required point is W.
What is the co-plaer and non co-planer?
Co-planar refers to a set of objects that lie in the same plane or lie on the same flat surface. They have the same elevation and do not intersect each other.
Non-coplanar refers to a set of objects that are not in the same plane or do not lie on the same flat surface. They have different elevations and may intersect each other.
W is a point that is not co-planar with R, S, and T.
Consider the provided plane.
We need to find the point that is not co-planar with R, S, and T.
Co-planar: Two object or points are said to be co-planer if they lie in the same plane.
Non co-planar: Two object or points are said to be non co-planer if they don't lie in same plane.
Now consider the provided plane, the point W is not lie in the plane V.
While point R, S and T lie in the plane V.
Hence, the required point is W.
W is a point that is not co-planar with R, S, and T.
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Simplify 6 + 8 / 2* | -3| + 7
The simplification of the given expression 6 + 8 / 2* | -3| + 7 is 25
The process of simplifying arithmetic operations.The process of simplifying a complex expression with an equivalent, simpler one is known as simplification. There are several strategies for simplifying expressions, depending on the exact expression and what you are attempting to accomplish.
To simplify the given expression:
6 + 8 / 2* | -3| + 7
Divide 2 by 8 = 4
6 + 4 * |-3| + 7
Take the absolute value of |-3| = 3
6 + 4 + 3 + 7
= 25
Therefore, we can conclude that the simplification of the given expression is 25.
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Angel has a deck that measures 20 feet by 25 feet. He wants to increase each dimension by equal lengths so that its area is increased by 50%. By how much should he increase each dimension?
Angel should increase the dimensions of the deck by 5 feet each
How to determine by how much the lengths should be increasedFrom the question, we have the following parameters that can be used in our computation:
Length = 20 feet
Width = 25 feet
So, the area is
Area = 20 * 25
Evaluate
Area = 500
When increased by 50%, we have
(20 + x) *(25 + x) = 500 * 1.50
Evaluate
(20 + x) * (25 + x) = 750
Express 750 as 25 * 30
So, we have
(20 + x) * (25 + x) = 25 * 30
This means that
20 + x = 25
25 + x = 30
Solve for x
x = 5 and x = 5
This means that
Increment = 5
Hence, the lengths should be increased by 5 feet
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Stephanie has 6 classes a day. Each class is 52 minutes. She goes to school 5 days a week. How much time does she spend in class? Show two different ways to solve this problem
Time spent in class per week is 6 × 52 × 5 = 1560 minutes.
Time spent in class per day is 6 × 52 = 312 minutes.
How to determine how time does she spend in class?Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.
Since Stephanie has 6 classes a day. Each class is 52 minutes. She goes to school 5 days a week. The time she spend in class can written as:
time in class = 6 × 52 × 5 = 1560 minutes per week
The time can also be written in form of the time spent per day:
time in class = 6 × 52 = 312 minutes per day
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I want to buy a new sofa from the store. I open a savings account with $700
and save up another $50 weekly. I need to save
a minimum of $1,200 to buy the sofa. Write an
inequality to represent this situation.
Answer:
700 + 50x ≥ 1200
where x represents the number of weeks needed to save.
Step-by-step explanation:
Check the picture below.
whatever those savings are on week "x", they have to be at least $1200
700 + 50x ⩾ 1200need assistance!!!!!
Answer:
100 ft^2
Step-by-step explanation:
first we can make this a complete rectangle that is 10 by 12
so we find the area of it
10x12
120
now we have to subtract the triangle from it
we first find the area of the missing piece using triangle formula
bxh/2
the base is 10 and height is 4
10x4/2
40/2
20
now we subtract the area of the triangle from the area of the rectangle
120-20
100 ft^2
hopes this helps
Match the inequalities on the left with the correct statement about that inequality on the right.
-4 r ≤ 22
Drop selections here
54 y+-8 ≥ -1
Drop selections here
-7d/4>3
Drop selections here
0>-8 n
Drop selections here
The statements which are correct about the inequalities in each case as required are as follows;
-4r ≤ 22; Flip the inequality sign.54y + -8 ≥ -1; Do not flip the inequality sign.-7d / 4 > 3; Flip the inequality sign.0 > -8n; Flip the inequality sign.Which statements are correct about the given inequalities?It follows from the task content that the statement which is correct about each of the inequalities is to be matched accordingly.
It is noteworthy to know that the underlying perspective is such that;
If the coefficient of a variable upon isolation on one side of the inequality is negative, it follows that the inequality sign must be flipped while multiplying or dividing both sides of the inequality by a negative number.
On the other hand, if the coefficient of the variable is positive, the inequality sign is not to be flipped.
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23 A commuter train moves from station A to D via B and C in that order, the distance to C via B is 70km and that of B to D via C is 88km. Between stations A and B the travels at an average speed of 48km/h and it takes 15minutes. The average speed of the train between C and D is 45km/h. Find; a) Distance between B and C b) Time taken between C and D c) If the train halts at B for 3 minutes and at C for 4 minutes and average speed for the whole journey is 50km/h. Find its average speed between B and C
The Distance between B to C = 58 km,
distance between C to D = 30 km
Average speed between B to C = 59.79 km/h
What is speed?The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other terms, it is a measurement of an object's motion's speed without direction Velocities are what we get when speed and direction are combined.
Given A commuter train moves from station A to D via B and C,
distance from A to C via B = 70 km
distance from B to D via C = 88 km
av. speed of the train from A to B = 48 km/h
av. speed of the train from C to D = 45 km/h
time taken by train to reach B = 15 min = 15/60 = 0.25 hour
distance between A to B = speed x time from A to B
distance between A to B = 48 x 0.25
distance between A to B = 12 km
A. Distance between B to C = distance from A to C - distance between A to B
Distance between B to C = 70 - 12 = 58 km
B. distance between C to D = distance from B to D - Distance between B to C
distance between C to D = 88 - 58 = 30 km
C. let av. speed from B to C is x
total distance covered by train = 12 + 58 + 30 = 100 km
av. speed for journey = 50 km/h
time taken to complete journey = 100/50 = 2 hours
time is taken from A to B = 0.25 hour
time is taken from B to C = 58/x
Time is taken from C to D = 30/45 = 0.66 hour
halt at b = 3 minute and halt at C = 4 minute
total halt = 3 + 4 = 7 minute = 7/60 = 0.12 hour
Total time = time taken from(A to B + B to C + C to D) + total hault
2 = 0.25 + 58/x + 0.66 + 0.12
58/x = 0.97
x = 59.79 km/h
Hence The Distance between B to C = 58 km,
distance between C to D = 30 km
Average speed between B to C = 59.79 km/h
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The following three shapes are based only on squares, semicircles, and quarter circles. find the perimeter and the area of each shaded part. give your answer as a completely simplified exact value in terms of π (no approximations).
The area and the perimeter of the figure are given as follows:
Area: 36(π + 2) cm².Perimeter: (24 + 4.2425π) cm.How to obtain the area of the figure?The figure is composed as follows:
Right triangle of sides 12 cm.Semi circle with diameter that is the hypotenuse of the right triangle.Applying the Pythagorean Theorem, the diameter of the circle is given as follows:
d² = 2 x 12²
[tex]d = \sqrt{2 \times 12^2}[/tex]
d = 16.97 cm.
Then the radius of the circle is given as follows:
r = 0.5d
r = 0.5 x 16.97
r = 8.485 cm.
The area of a circle of radius r is given by the multiplication of π and the square of the radius, as follows:
A = πr².
Hence, considering that the figure is a semi circle, we have that:
Ac = 0.5 x π x (8.485)²
Ac = 36π
The area of the right triangle is of:
At = 0.5 x 12 x 12
At = 72 cm².
Meaning that the area of the shape is given as follows:
A = Ac + At.
A = 36π + 72
A = 36(π + 2) cm².
How to obtain the perimeter of the shape?The perimeter of the shape is obtained by the sum of 2 times 12 cm and the circumference of the semi circle.
The circumference of a semicircle of diameter d is given as follows:
C = 0.5πd.
Hence:
C = 0.5π x 8.485
C = 4.2425π.
Meaning that the perimeter of the shape is given as follows:
P = (24 + 4.2425π) cm.
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a right rectangular prism has a base of 20cm2 and a height of 9.2cm what is the volume of the prism
A right rectangular prism has a base of 20cm² and a height of 9.2cm will have a volume of 184 cm³
What is a right rectangular prism?The right rectangular prism has four rectangle-shaped lateral faces, each of which is perpendicular to one of its bases, and two parallel end faces.
A non-right rectangular prism (oblique prism) has parallelograms for its faces. The term "cuboid" can also refer to a right rectangular prism.
In the given problem the formula used for volume of prism is
= are of base * height
= 20 * 9.2
= 184 cm³
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A car traveled 200 kilometers in 3 hours. If the car travels at the same average rate, how far will the car travel in 9 hours?
Answer: 600km
Step-by-step explanation:
Using the concept of proportion, with the same average rate,
3 hours -> 200 km
9 hours -> A km
Hence,
9/3 = A/200
A = 200 x 9/3 = 200 x 3
= 600
Answer: 600 km
Step-by-step explanation:
We need to apply the concept of Time speed distance here.
When speed is constant, T ∝ D
D = S*T
200 km = 3hrs
X km = 9hrs
X = 200*9/3
= 200*3
= 600km
1. Eleven decreased by k
2. p increased by 9
3. Sixteen multiplied by a number h
4. f less than twelve
5. Sixteen less than m
All the mathematical expressions are,
1) 11 - k
2) p + 9
3) 16h
4) f < 12
5) 16 < m
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
All the algebraic expression are,
1. Eleven decreased by k
2. p increased by 9
3. Sixteen multiplied by a number h
4. f less than twelve
5. Sixteen less than m
Now,
We can write all the expression as,
1. Eleven decreased by k
⇒ k - 11
2. p increased by 9
⇒ 9 + p
3. Sixteen multiplied by a number h
⇒ 16 × h
⇒ 16h
4. f less than twelve
⇒ f < 12
5. Sixteen less than m
⇒ 16 < m
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See attached Screenshot
The expression ∛(t⁴m²) / (m³t) in the simplified form will be written as [tex]\rm \frac{t^{1/3}}{m^{7/3}}[/tex].
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ ∛(t⁴m²) / (m³t)
Simplify the expression, then we have
⇒ ∛(t⁴m²) / (m³t)
⇒ t∛(tm²) / (m³t)
⇒ ∛(tm²) / (m³)
Simplify the equation further, then we have
[tex]\rm \rightarrow \dfrac{\sqrt[3]{\rm tm^2} }{m^3}\\\\\rightarrow \dfrac{t^{1/3}m^{2/3}}{m^3}\\\\\rightarrow \dfrac{t^{1/3}}{m^{7/3}}[/tex]
The expression ∛(t⁴m²) / (m³t) in the simplified form will be written as [tex]\rm \frac{t^{1/3}}{m^{7/3}}[/tex].
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Determine the point estimate of the population mean and margin of error for the confidence interval. The lower bound is 17, upper bound is 25. What is the point estimate of the population mean?
The point estimate of the population mean is 21.
The point estimate of the population mean is the midpoint of the confidence interval.
To find the midpoint, add the lower and upper bounds of the interval and divide by 2. In this case, the lower bound is 17 and the upper bound is 25, so the point estimate of the population mean is (17 + 25) / 2 = 21.
On the other hand, the margin of error is a measure of the precision of the estimate. It is the amount by which the estimate could be off and still be considered accurate. The margin of error is typically expressed as a percentage of the point estimate. In this case, the margin of error would depend on the level of confidence you have in the estimate and the size of the sample you used to generate the interval. Without more information, it is not possible to determine the margin of error.
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which expression is equivalent to -5(8x+9)-7x ?
The expression -5 (8x + 9) - 7x is equivalent to the expression - 47x - 45
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ -5 (8x + 9) - 7x
Simplify the expression, then we have
⇒ -5 (8x + 9) - 7x
⇒ - 40x - 45 - 7x
⇒ - 47x - 45
The expression -5 (8x + 9) - 7x is equivalent to the expression - 47x - 45
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Please answer quickly!!!!
Answer: y int is 8 the slope of the line is -1/2 and the equation of the line is y=-1/2x +8
Step-by-step explanation:
you can get slope by using the the points (6,5) and (8,4) to use y2-y1/x2-x1 and your y int is just where the line intersects the y axis which is 8. 8 then equals b in the equation y=mx+ b and you get m by using the first equation.
If a || b and m∠2 = 71°, what is m∠1?
Question 1 (Multiple Choice Worth 1 points)
A triangle has a perimeter of 9x+6. The first side of the triangle has a length of 5 x and the second side has a length of 3x-7. What a the length of third side of the triangle?
x+13
x-1
5 x-7
17 x-1
The length of third side of the triangle will be A. x + 13.
How to illustrate the perimeter?The perimeter of a shape is simply the total length of the boundary that the shape has. It should be noted that in this case, it's gotten by adding all the length that the shape has.
In this situation, triangle has a perimeter of 9x+6. The first side of the triangle has a length of 5 x and the second side has a length of 3x-7.
The length of third side of the triangle will be:
= 9x + 6 - (3x - 7 + 5x)
= x + 13
The correct option is A.
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The table below shows some values of a function g(x)
Which function represents the relationship shown in the table?
g(x) = 4x - 1/2
g(x) = -3x - 1/2
g(x) = -1/2x - 1/2
g(x) = 3x - 1/2
The linear function in the table is given as follows:
g(x) = 4x - 1/2.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
For which the parameters are given as follows:
m is the slope, representing the rate of change of the output variable y relative to the input variable .b is the intercept, representing the value of y when x = 0.When x increases by 0.5, y increases by 2, hence the slope m is obtained as follows:
m = 2/0.5
m = 4.
When x = 0, y = -0.5, hence the intercept b is given as follows:
b = -1/2.
The function is then defined as follows:
g(x) = 4x - 1/2.
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