Answer:
80
Step-by-step explanation:
180-60=120
120-40=80
8. Larissa plans to bake at
most 10 loaves of bread.
She makes x loaves of banana bread that sell for
$1.25 each and y loaves of nut bread that sell for
$1.50 each. She hopes to make at least $24 in sales.
Write and graph a system of inequalities for this
situation. What does the
graph show?
The system of inequalities is:
x + y ≤ 10
x*$1.25 + y*$1.50 ≥ $24
And the graph can be seen below, on the graph, we can see that there are no solutions.
How to write and graph a system of inequalities?So we need to start by defining the variables we will be using, these are:
x = number of loaves of banana bread.y = number of loaves of nut bread.First, we know that Larissa wants to make at most 10 loaves of bread, then we can start with the inequality:
x + y ≤ 10
We also know that each banana bread sells for $1.25 and each but bread sells for $1.50, and she wants to make at least $24, then:
x*$1.25 + y*$1.50 ≥ $24
So the system of inequalities is:
x + y ≤ 10
x*$1.25 + y*$1.50 ≥ $24
So to graph these inequalities, we need to shade the region abovce the first line:
x + y = 10
and below the second line:
1.25*x + 1.50*x = 24
The graph of that system of inequalities can be seen below. The graph shows that the system has no real solutions (only has solutions for negative values of x).
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A map has a scale of 1:100,000 what is the map distance between two cities if the real distance was 20km
Step-by-step explanation:
I guess you mean 1cm:100000cm
Hence, for every 1 cm on the map 100000 cm is covered on the land.
Take the distance on the map for 20 km be x
Hence, 1:100000:: x: 2000000 cm
In order to solve this ratio, you must multiply the extremes and the moderates (nears).
Hence, 2000000×1=100000×x [1km=100000 cm]
Hence, 2000000= 100000x
Hence, x=2000000/100000 cm
Hence, x=20 cm
Hence, 20 cm on the map
a) Calculate the size of angle x in the diagram
below.
b) Work out the bearing of A from B.
The angle x in the diagram is 98 degrees.
How to find the angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.
Therefore, let's find the angle of x using the angle relationships as follows:
The size of the angle x can be found as follows:
82 + x = 180(same side interior angles)
Same side interior angles are supplementary.
Hence,
82 + x = 180
x = 180 - 82
x = 98 degrees
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2x+y=8
y+3z=5
z+2w=1
5w+3x=9
what is x,y,z,w
Answer:
Systems of equations:
x=3
y=2
z=1
w=0
The area of a rectangle 12x^2 + 32x square units. If the width can be represented by 3x + 8, write an expression to represent the length of the rectangle.
Answer:
Step-by-step explanation:
The area of a rectangle is length time width.
A=LW
In this case,
A=32x^2+12
W=4x
Solve for L
L=A/W
Substitute
L=(32x^2+12)/4x
L=(8x^2+3)/x
Are zeros at the end of a number significant if the number contains a decimal point?
The zeros at the end of a number can be significant if it contains decimal point only if the digit next to or at the end of the number (of decimal point) is a significant number.
Significant numbers of a given number are those digits that can convey the meaning of the number or what it stands for (measures as) according to its accuracy.
All non-zero numbers are significant numbers irrespective of the fact where they are positioned, that is they can be positioned before or after a decimal (also before or after a zero).
All zeros are not significant numbers and whetehr they are to be called significant numbers or depend on the fact where they are positioned and whether they convey any meaning (or value ) of the number. If the zeros are between two non zero significant digits then zero is also considered as a significant number.
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Trade tariffs and quotas are designed to protect:
O a.
foreign aid.
O b.
international trade.
O C.
foreign producers.
O d.
domestic producers.
(x-h)^2+(y-k)^2=r^2
Derive standard form of an equation of a circle with center C(5,2) and radius r=4, using the Pythagorean theorem.
Answer:
(x-2)^2 + (y - 5)^2 = 16
Step-by-step explanation:
Given the standard form of an equation of a circle
(x-h)^2+(y-k)^2=r^2
If (h, k) = (5,2) and r = 4
Substitute
(x-2)^2 + (y - 5)^2 = 4^2
(x-2)^2 + (y - 5)^2 = 16
Hence the required equation is (x-2)^2 + (y - 5)^2 = 16
250 pounds = how many tons
The metric unit from pounds to tons is 250 pounds = 0.125 tons
Converting the metric unit from pounds to tonsFrom the question, we have the following parameters that can be used in our computation:
250 pounds = how many tons
As a general rule, we have
1 pound = 0.0005 tons
Multiply both sides of the equation by 250
So, we have
250 * 1 pound = 0.0005 tons * 250
Evaluate the products
250 pounds = 0.125 tons
Hence, the conversion is 250 pounds = 0.125 tons
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If A=2x+10 and B=2x+2 what is the measurement of A
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
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a brick of copper weighs 6,515 grams and has the following dimensions: length of 26 cm, height of 8 cm, and width of 36 mm. what is the approximate density of the copper? round to the nearest tenth.
The approximate density of the copper is 8.7 grams per milliliters
Calculating the approximate density of the copperFrom the question, we have the following parameters that can be used in our computation:
Mass = 6515 grams
Dimensions: length of 26 cm, height of 8 cm, and width of 36 mm.
The volume is calculated as
Volume = 26 cm * 8 cm * 36 mm
Evaluate
Volume = 748.8 milliliters
The approximate density of the copper is calculated as
Density = mass/volume
So, we have
Density = 6515 grams/748.8 milliliters
Evaluate
Density = 8.7 grams per milliliters
Hence, the density is 8.7 grams per milliliters
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Упростить выражение log54+log53 и итог умножить на два
Answer:
6.913339
Step-by-step explanation:
Helpp, practice problems.
By comparing the intercepts of the linear equation with the ones in the graph, we conclude that the given graph corresponds with the linear equation.
How to know if the graph represents the given equation?
Here we have the linear equation:
1.5*s + 3.5*c = 21
And we have a graph, which we want to see if it is the graph of the linear equation.
To check this, we just need to look at the intercepts, the variable "c" is on the vertical axis and the variable "s" is on the horizontal axis.
The "s" intercept is what we get when we take c = 0, replacing that we will get:
1.5*s + 3.5*0 = 21
1.5*s = 21
s = 21/1.5 = 14
This means that the line should pass through the point (14, 0), and we can see that this happens.
The other intercept is what we get when we take s = 0.
1.5*0 + 3.5*c = 21
c = 21/3.5 = 6
The other intercept is at (0, 6), which we also can see on the graph.
With that is enough to conclude that the given graph represents the given linear equation.
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can a parking lot be built at angle K. why or why not
If the length of qr is 8 cm and the length of qs is 12 cm, what is the length of rs?
Answer:
8.94
Step-by-step explanation:
Given that
qs = 12cm
qr = 8cm
Required
rs
Using the pythagoras theorem
Let us assume qs is the hypotenuse side
qs² = qr² + rs²
12² = 8² + rs²
144 = 64 +rs²
rs² = 144 - 64
rs² = 80
rs = √80
rs = 8.94
Hence the value of rs is 8.94
I need help with this question pls
Answer:
arc length formula :
Arc length = radius x central angle in radians.
Answer you seek : is 2 or B : pie inches
Step-by-step explanation:
Subtract 1/8 minus 3/4
Answer: 5/8
Step-by-step explanation:
The length of a
rectangular garden is
three feet less than twice
its width. If the perimeter
of the garden is 42 feet,
what is its length?
Systems word problems
Answer:
The length will be 13 feet.
Step-by-step explanation:
Let the width be represented by w.
Based on the information given, the length will be:
= (2 × w) - 3
= 2w - 3
Therefore, the perimeter will be:
2(w) + 2(2w - 3) = 42
2w + 4w - 6 = 42
6w = 42 + 6
6w = 48
w = 48/6
w = 8
Therefore, the length will be:
L = 2w - 3
L = 2(8) - 3
L = 16 - 3
L = 13 feet
The length is 13 feet.
Answer:
The length will be 13 feet.
Step-by-step explanation:
Let the width be represented by w.
Based on the information given, the length will be:
= (2 × w) - 3
= 2w - 3
Therefore, the perimeter will be:
2(w) + 2(2w - 3) = 42
2w + 4w - 6 = 42
6w = 42 + 6
6w = 48
w = 48/6
w = 8
Therefore, the length will be:
L = 2w - 3
L = 2(8) - 3
L = 16 - 3
L = 13 feet
The length is 13 feet.
Solve for x in the picture below
Answer:
X = 4
Step-by-step explanation:
Given : Both the triangles are congruent.
And, LM = QR ;
Therefore,
=>. 2x + 11 = 3x - 9
By interchanging.....
=> 11 + 9 = 3x + 2x
=>. 20 = 5x
=> 4 = x
Or,
=> x = 4
Hope it's help you.... ^_^Triangle XYZ is a right triangle with ZQ¯¯¯¯¯⊥XY¯¯¯¯¯¯ .
Drag and drop a correct answer into each box to complete the proof of the Pythagorean theorem.
(See images for details.)
The correct answer is. Proportional.
2. ce
3. Segment Addition Postulate.
By the angle-angle similarity postulate, △YXZ∼△YZQ, and △YXZ∼△ZXQ.
The corresponding sides of two similar triangles are proportional.
What is the proportional side of a similar triangle?Since similar triangles have proportional sides, therefore
\(\frac{a}{c}=\frac{f}{a}\) and \(\frac{b}{c}=\frac{b}{e}\)
Solving the equation for a² and b² gives
\(a^2=cf\) and \(b^2=ce\)
The value of a² is cf and the value b² is ce.
Adding these together gives
\(a^2+b^2=cf+ce\)
Factoring out the common segment gives
\(a^2+b^2=c(f+e)\)
From the given figure it is clear that
\(c=f+e\)
(Segment Addition Postulate)
Using the Segment Addition Postulate, we get
\(a^2+b^2=c(c)\)
On simplification, we get
\(a^2+b^2=c^2\)
Therefore the required answers are 1. Proportional, 2. ce, 3. Segment Addition Postulate.
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Answer:
1. Angle-Angle similarity Postulate 2.Proportional 3. C
Step-by-step explanation:
By the Angle-Angle similarity Postulate, △YXZ~ △YZQ and △YXZ~ △ZXQ. Since similar Triangles have Proportional sides, a/c= f/a and b/c= e/b. Solving the equation for a² and b² gives a² = cf and b² =ce. Adding these together gives a²+b²=cf+ce. Factoring out the common segment gives a²+b²=c(f+e). Using the segment addition postulate gives a²+b²=c(c)
, which simplifies to a²+b²=c² (Look at image for proof)
.
Which algebraic expression represents the
phrase Four more than the product 3 times the
number of c cats?
A 4+3c
B (4+3)c
3+ 4c
4x3xc
The algebraic expression represent the phrase Four more than the product 3 times the number of c is given by (A) 4+3c.
Given the algebraic phrase is "Four more than the product 3 times the number c cats"
We have to express the phrase in mathematical terms.
3 times the number c = 3*c = 3c
Four more than 3 above the number = 3c +4
Thus the mathematical expression of given phrase is 4+3c.
Hence the correct option is (A).
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The demand function for a certain brand of compact discs is given by p = −2x2 − 2x + 31 where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand.
(a) Compute the price, p, when x=3
Price, p= ________dollars
(b) Use implicit differentiation to compute the rate of change of demand with respect to price, p, when x = 3.(Do not round your answer.
Rate of change of demand, x' = ________thousands of units per dollar)
(c) Compute the elasticity of demand when x = 3. Do not round your answer.
Elasticity of Demand =______________
(a) The price is $18.
(b) The rate of change of demand with respect to price when x = 3 is 1/8 thousand units per dollar.
(c) The elasticity of demand when x = 3 is -3/4.
(a) When x = 3, the price, p can be computed by substituting the value of x in the given equation.
So, p = -2(3)² - 2(3) + 31 = -18 dollars
Price, p = $18.
(b) The demand function is given by:
p = -2x² - 2x + 31
Differentiate with respect to p.
dp/dp = d/dp(-2x^2 - 2x + 31)
Simplifying this, we get:
1 = -4x dx/dp - 2
Solving for dx/dp, we get:
dx/dp = (1 + 2)/(4x)
Substituting x = 3, we get:
dx/dp = 3/24 = 1/8
Therefore, the rate of change of demand with respect to price when x = 3 is 1/8 thousand units per dollar.
(c) To compute the elasticity of demand when x = 3, we use the formula:
E = (p/x) * (dx/dp)
Substituting x = 3 and dx/dp = 1/8 from parts (a) and (b), we get:
E = (p/3) * (1/8)
Substituting p = -18 from part (a), we get:
E = (-18/3) * (1/8) = -3/4
Therefore, the elasticity of demand when x = 3 is -3/4.
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A diver dove 30 feet down into the Atlantic Ocean.
*Blank* is an integer that would represent that dive. What is the blank?
Answer:
-30
Step-by-step explanation:
Since the diver went down 30 feet it would be -30 from where they started
Add 3.2 to the quotient of 8.4 divided by 6.
Answer:
3.2 + 8.4 /6 equal to 4.6
Step-by-step explanation:
4.6
What are special angles in geometry?
Special angles in geometry are specific angle measures that have unique properties and are often encountered in geometric problems:
(1) Right angle (2) Acute angle (3) Obtuse angle (4)Straight angle (5)Reflex angle
(6) Complementary angles (7)Complementary angles
In geometry, special angles refer to specific angles that have special properties or characteristics. These angles include right angles, acute angles, and obtuse angles. A right angle is an angle that measures exactly 90 degrees, while an acute angle is an angle that measures less than 90 degrees. An obtuse angle, on the other hand, measures more than 90 degrees but less than 180 degrees. These angles are important in geometry as they form the foundation for many geometric shapes and concepts. Understanding the properties and characteristics of these special angles is crucial for solving geometry problems and constructing geometric figures accurately.
Special angles in geometry are specific angle measures that have unique properties and are often encountered in geometric problems. These angles include:
1. Right angle: A right angle is an angle that measures exactly 90 degrees. It is formed when two lines intersect perpendicularly.
2. Acute angle: An acute angle is an angle that measures between 0 and 90 degrees. It is smaller than a right angle.
3. Obtuse angle: An obtuse angle is an angle that measures between 90 and 180 degrees. It is larger than a right angle.
4. Straight angle: A straight angle is an angle that measures exactly 180 degrees. It is formed when two lines intersect in a straight line.
5. Reflex angle: A reflex angle is an angle that measures between 180 and 360 degrees. It is larger than a straight angle.
6. Complementary angles: Two angles are complementary if their sum is equal to 90 degrees.
7. Supplementary angles: Two angles are supplementary if their sum is equal to 180 degrees.
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please someone help me asap thx
can u search it sweet heart or take a picture on here?
Pls help me I need to submit this
(5) All snow geese can eat for 11.5 days before the research and rescue center runs out of supplies.
What is snow geese?
Despite having a reputation for having white feathers, many snow geese are actually blue geese, which are darker, gray-brown birds. These birds were formerly believed to be two distinct species, however it has recently been discovered that they are actually just two color variants of the same bird. The variation in color is controlled by a single gene.
9 snow geese are housed in the research and rescue center.
Each geese consumed 16 ounces of seeds, therefore that's how much.
Therefore, the amount of seeds consumed by 9 snow geese is equal to (16*9) ounces.
144 ounces of seeds were consumed by 9 snow geese.
There are currently 1,656 ounces of seeds.
Thus, the number of days before the center runs out of food is equal to the sum of the ounces of seeds eaten by the nine snow geese divided by the total ounces of seeds.
Days till the food center runs out of supplies = 1656/144
11.5 days are required until the center runs out of food.
Hence, all snow geese can eat for 11.5 days before the research and rescue center runs out of supplies.
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Evaluate 64^1/2x
10^-2
Give your answer as a fraction in its simplest form.
\((64)^{\tfrac 12} \times 10^{-2}=(8^2)^{\tfrac 12} \times \dfrac 1{10^2}=\dfrac{8}{100} = \dfrac{2}{25}\)
a child walks due east on the deck of a ship at 4 miles per hour. the ship is moving north at a speed of 5 miles per hour. find the speed and direction of the child relative to the surface of the water.
the speed and direction of the child relative to the surface of the water. 6.04. m/h
What is relative motion?
It implies that every object's motion is characterized in relation to Earth's motion. It implies that the motion of every item is explained in relation to every other object's motion. Motion is therefore independent of the frame of reference.
The child is walking East and the ship is moving north.
The relative motion of the child to the water is found using vector addition.
This means the speed of the child to the water is
N= √4^2 + √5^2
=✓16+25
=✓41
=6.04 m/h
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The price of a skateboard was reduced from $80 to $50. By what percentage was the price of the skateboard reduced?
Answer:
37.5%
Step-by-step explanation:
80 - 37.5% = 50