Answer:
Anything over 64 inches.
Step-by-step explanation:
The Triangle Inequality states that each side of a triangle must be shorter than the sum of the other two sides.
If you call the sides a, b, c, then a + b > c, a + c > b, b + c > a.
23 + 41 = 64, so the third side must be shorter than 64 inches.
Chee and her children went into a grocery store and she bought $12 worth of bananas and mangos. Each banana costs $0.50 and each mango costs $2. She bought twice as many bananas as mangos. Graphically solve a system of equations in order to determine the number of bananas, x,x, and the number of mangos, y,y, that Chee bought.
We get the number of bananas as 8 and the number of mangoes as 4.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is that Chee and her children went into a grocery store and she bought $12 worth of bananas and mangos. Each banana costs $0.50 and each mango costs $2. She bought twice as many bananas as mangos.
We can write the system of equations as -
x = 2y ..... (1)
(1/2)x + 2y = 12 ..... (2)
We can write equation (2) as -
(1/2) x 2y + 2y = 12
3y = 12
y = 4
then -
x = 8
Therefore, we get the number of bananas as 8 and the number of mangoes as 4.
To solve more questions on straight lines, visit the link below -
brainly.com/question/28951560
#SPJ1
question: which month has an average low temperature that is cooler than December’s? Explain your answer.
thanks to anyone who helps! giving out brainliest as well :)
Answer:January
Step-by-step explanation: if it is asking to explain based on data given, you can show that -11.6<-10.4, but if it is asking based on other information that you recieved, i cant really help other then to tell you to look at the cylces of day and night, because some parts of alaska get no sun for 6 months, so that could be why january is averagly colder
PLEASE HELP PICTURE ATTACHED!!
IF m /3 = (9x + 14) and m/5 = (14x - 1), find m/28.
Answer:
∠8 = 139°
Step-by-step explanation:
Before we start solving, let's identify the figure to understand the problem.
We are given two parallel lines that are cut by a transversal.
Two lines are parallel if they have the same arrow head marking.
If two parallel lines are cut by a transversal, the following angles are created:
alternate interior anglesalternate exterior anglesvertical anglesadjacent anglescorresponding anglesI have attached an image of the different types of angles to this response.
Thus, we can use the types of angles to solve for ∠8.
∠3 and ∠5 are corresponding angles. Therefore, they have the same measure.
Set up the equation to solve for x:
∠3 = ∠5
9x + 14 = 14x - 1 . . . . . . substitute the values
14 = 5x - 1 . . . . . . . . subtract 9x from the LHS and RHS
15 = 5x . . . . . . . . . . add 1 to the LHS and RHS
∴ 3 = x . . . . . . . . . . . . divide the LHS and RHS by 5 to isolate x
Now that we know what x is, we can substitute it into the value of ∠3.
∠3 = 9x + 14
∠3 = 9(3) + 14 . . . . substitute the values
∠3 = 27 + 14 . . . . . compute
∴ ∠3 = 41
∠3 and ∠8 are adjacent angles. Therefore, they add up to 180°.
Set up the equation to solve for ∠8:
∠8 + ∠3 = 180
∠8 + 41 = 180 . . . . substitute the known values
∴ ∠8 = 139° . . . . . subtract 41 from the LHS and RHS to isolate ∠8
⭐if this response helped you, please mark it the "brainliest"!⭐
Answer:
Step-by-step explanation:
180-54=139 so 8 equals 139
This composite figure is made up of three simpler shapes. What is the area of the figure? 68 square cm 83 square cm 59 square cm 33 square cm
Answer:
68 square cm
Step-by-step explanation:
the composite is made up of a triangle , rectangle and parallelogram
area of composite = area of triangle + area of rectangle + area of parallelogram
Area of parallelogram = base x height
9 x 2 = 18
area of triangle = 1/ 2 x base x height
1/2 x 6 x 5 = 15
Area of a rectangle = length x width
5 x 7 = 35
15 + 35 + 18 = 68
The table below shows information about how many fans there were at two
football matches in a local tournament.
What is the difference between the number of away fans at the semi-final and at
the final?
Semi-final
Final
Total number of fans
250
400
Ratio of home fans
to away fans
6:4
7:3
Therefore , the solution of the given problem of ratio is Because of this, at a 95% confidence level, (a,b) = ($65.57, $74.43).
What is ratio?A ratio or fraction in math displays how many times one number is contained in another. For instance, the proportion of oranges to lemons in a bowl of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3 or decimal 1.333).
Here,
Confidence intervals are defined as a range of values with a known chance that a parameter's value falls inside them.
A statistical data's confidence interval can be expressed as.
=> x+/-zr/√n
=> Knowing that;
Average Sample x = $70.00
$17.50 is the standard deviation.
n = 60 samples were used.
95% confidence interval
95% confidence interval for z = 1.96
substituting our current values;
$70.00+/-1.96($17.50/√60)
$70.00+/-1.96($2.259240285287)
$70.00+/-$4.428110959163
$70.00+/-$4.43
= ( $65.57, $74.43)
Therefore , the solution of the given problem of ratio is Because of this, at a 95% confidence level, (a,b) = ($65.57, $74.43).
To know more about ratio , visit
https://brainly.com/question/13419413
#SPJ1
Augustus has made a pile of 2,000 candies, and he is giving away 25 candies a day from this pile. When will he have 350 candies left in this pile
Calculate the size of the angle marked 'x' in the pentagon shown below. Give your answer in degrees (°).
Answer: x= 96 degrees
Step-by-step explanation:
It we figure out the rest of the angles they would be (the outside ans inside angles are straight angles):
123+153+49+119= 444
Since the total of angles in a pentagon = 540 degrees
540-444 96 degrees
The measure of an angle x will be equal to 96°.
What is the Pentagon?A Pentagon is a two-dimensional geometric shape that consists of five straight sides and five angles. It is a type of polygon, which is a closed shape with three or more sides.
The Pentagon is often used to represent the shape of buildings, monuments, and symbols in architecture and design.
If we figure out the rest of the angles they would be (the outside and inside angles are straight angles):
123+153+49+119= 444
Since the total of angles in a pentagon = 540 degrees
540-444= 96°
Therefore, the measure of an angle x will be equal to 96°.
To know more about the Pentagon follow
https://brainly.com/question/30733186
#SPJ2
Factor quadratic trinomials
2x^2+7x+6
3x^2+5x+2
With method X pleaseee:(
I really also need help on this question lol
Answer:
13/15
For this question, you could type it into the calculator.
Hence, this question is too trivial, and your question might get deleted as a result. Since this is your first question, I will help you out but subsequently, do use a calculator to solve this kind of questions.
Step-by-step explanation:
4 1/3 can be converted to 13/3 as an improper fraction.
Next, evaluate 13/3 divided by 5
(13/3) / 5 = (13/3) x (1/5)
= 13/15
Answer:
Step-by-step explanation:
There are a number of ways to do this. I am going to take a little longer, but I am hoping that it will make sense to you.
4[tex]\frac{1}{3}[/tex] ÷ 5
Another name for 1 is [tex]\frac{3}{3}[/tex] I am going to rewrite 4[tex]\frac{1}{3}[/tex] knowing this.
[tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{13}{3}[/tex]
Another way to write 5 is [tex]\frac{5}{1}[/tex].
I want both of my fraction to have the same denominator so I will multiple
[tex]\frac{5}{1}[/tex] x [tex]\frac{3}{3}[/tex] = [tex]\frac{15}{3}[/tex] I am now ready to divide by fractions
[tex]\frac{13}{3}[/tex] ÷ [tex]\frac{15}{3}[/tex] Divide across
[tex]\frac{\frac{13}{15} }{\frac{3}{3} }[/tex] = [tex]\frac{\frac{13}{15} }{1}[/tex] = [tex]\frac{13}{15}[/tex]
Determine the intercepts of the line. Do not round your answers. y-4=7(x-6)y−4=7(x−6)y, minus, 4, equals, 7, left parenthesis, x, minus, 6, right parenthesis xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
The y-intercept of the line y = 7x -38 is -38. And the x-intercept is 0
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
The equation of the line,
y-4=7(x-6)
Simplify,
y -4 = 7x - 42
y = 7x -38
And slope-intercept form:
y = mx + b,
where m is the slope and y is the intercept.
Comparing with the slope intercept form,
we get,
m = 7 and b = -38
And the x-intercept is 0
Therefore3, y-intercept is -38.
To learn more about the slope;
brainly.com/question/3605446
#SPJ1
A gift box in the shape of a rectangular prism has 20-inch length, 14-inch width, and 10-inch height. How much paper will you need to wrap the gift box?
Answer:
1240 in²Step-by-step explanation:
Total surface area:
S = 2(lw + lh + wh)S = 2(20*14+20*10+14*10) = 1240 in²So
TSA
2(LB+BH+LH)2(20×14+14×10+10×20)2(280+140+200)2(620)1240in²3 cm and 9 mm converted completely into centimetres to one decimal place is ____cm. Someone please help me it would be greatly appreciated :)
A bucket contains 4 red marbles, 10 blue marbles, 7 yellow marbles, and 5 green marbles.
What is the probability that you will reach in and pick a red marble?
a 4/25
b 4/23
c .2563
d 15.3%
Answer:
d. 15.3%
Step-by-step explanation:
There are a total of 4 + 10 + 7 + 5 = 26 marbles
P(pick a red) = 4/26 = 2/13 = .153 = 15.3%
Find the x and y Intercept of x + 2y = -14
Answer:
Y-intercept: (0, -7)
X-intercept: (-14,0)
Step-by-step explanation:
To find the y-intercept, we need to put 0 in for x
0 + 2y = -14
2y = -14
y = -7
So, the y-intercept is located at (0, -7)
To find the x-intercept, we need to put 0 in for y
x + 2(0) = -14
x = -14
So, the x-intercept is located at (-14,0)
Step-by-step explanation:
To find the y-intercep, we need to put 0 in for x
0 + 2y= -14
2y = -14
y = - 7
So, the y - intercept is located at ( 0, - 7)
a paint roller has a width of 12 inches and a radius of 3 inches, what is the surface area that can be painted with one complete rotation of the roller
The surface area that can be painted with one complete rotation of the roller is 226.19 inches².
Surface area is defined as the total amount of area that covers the surface or outside of a three-dimensional figure.
A paint roller is in the shape of a cylinder. To determine the surface area that can be painted with one complete rotation of the roller, solve for the surface area of a cylinder without the circular bases.
SA = 2πrh
where SA = surface area
r = radius of the base = 3 inches
h = height of the cylinder = width = 12 inches
Plug in the values and solve for the surface area.
SA = 2πrh
SA = 2π(3 inches)(12 inches)
SA = 226.19 inches²
Hence, the surface area that can be painted with one complete rotation of the roller is 226.19 inches².
Learn more about surface area here: https://brainly.com/question/27440983
#SPJ4
How do you graph a parent graph?
This is how you construct a parent graph - it is the simplest form of the function, and has a basic shape.
The most basic form of a function is a parent function. Its essential shape is not changed in any manner. In mathematics, some graphs are frequently seen. Because of this, the graphs of quadratic functions, square roots, absolute values, cubics, and cube roots are among the original, widespread functions that are referred to as parent graphs.
For instance, you should still be able to identify the parabola that has undergone various transformations when you view a u-shaped graph that has been inverted and stretched vertically.
We can take a few examples to understand this concept further.
For a quadratic equation, the parent graph is [tex]f(x) = x^{2}[/tex], which is a parabola. For a cubic equation, the parent graph is [tex]f(x) = x^{3}[/tex].Hence, this is how you construct a parent graph - it is the simplest form of the function, and has a basic shape.
To learn more about parent graphs, visit the link:
brainly.com/question/20333814
#SPJ4
A ladder is leaning against a wall. The top of the ladder is 999 feet (\text{ft})(ft)(, start text, f, t, end text, )above the ground. If the bottom of the ladder is moved 3\,\text{ft}3ft3, start text, f, t, end text farther from the wall, the ladder will be lying flat on the ground, still touching the wall. How long, in feet, is the ladder
999.06ft999.06 in feet is the ladder.
What is Pythagorean Theorem?Pythagorean Theorem is a mathematical formula used to calculate the length of the sides of a right triangle. It states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side, which is known as the hypotenuse. The formula is written as a² + b² = c², where a and b are the two shorter sides, and c is the hypotenuse.
To find the length of the ladder, use the Pythagorean Theorem. The length of the ladder is equal to the square root of the sum of the squares of the side lengths of the right triangle formed by the ladder and the wall.
The two side lengths of the right triangle are 999\,\text{ft}999ft999, start text, f, t, end text and 3\,\text{ft}3ft3, start text, f, t, end text.
Therefore, the length of the ladder is equal to the square root of (999^2+3^2), which is equal to 999.06\,\text{ft}999.06ft999.06,
start text, f, t, end text.
To know more about pythagoren therom click-
https://brainly.com/question/343682
#SPJ4
There was a population of 40 bears in a National Park. After a year, the population increased by 40%. How many bears are there in the park now?
Answer: 56
Step-by-step explanation:
Given
There are 40 bears in a national park
After a year, Population increased by 40%
An increase in population is
[tex]=40\times 40\%\\=40\times 0.4\\=16[/tex]
So, a new population is the sum of the original and increased population
[tex]\Rightarrow 40+16\\\Rightarrow 56[/tex]
tossing a coin and spinning a spinner with five equal sections, 1-5
Answer:
Its gonna be a 50/50 on the coin and 20/100 chance for the spinner
Answer:
5 outcomes for the spinner and a 50/50 chance for the coin
Step-by-step explanation:
for the spinner, there are five numbers, 1,2,3,4, and 5. so, there is a 1/5 chance or you could also say there is a 20/100 chance. For the coin, there are two sides and 100 divided by 2 is 50 therefore, there is a 50/50 chance
Hope this helps!!
Carlos has completed 18 deliveries so far this week. He needs to make 60 deliveries for the week. What percentage of his deliveries has Carlos completed?
Answer:
30%
Step-by-step explanation:
18/60 = 0.30
0.30 = 30%
Let C be between D and E. Use the Segment Addition Postulate to solve for n.
DC = 5n – 30
CE = 6n – 25
DE = 44
A. N = 13
B. N = 4
C. N = –5
D. N = 9
Segment Addition Postulate states that n has a value of 9 when DC = 5n - 30 and CE = 6n - 25 and DE = 44.
what is equation ?A mathematical equation is a formula that connects two statements using the equal sign (=) to denote equivalence. An algebraic equation is a mathematical statement that establishes the equality of two mathematical expressions. For example, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14. Mathematical equations are used to express the connection between two phrases on either side of a letter. There is frequently just one variable, which is also the symbol. example: 2x - 4 = 2.
given
DE = DC + CE
44 = 5n – 30 + 6n – 25
44 = 11n - 55
44 + 55 = 11n
n = 9
Segment Addition Postulate states that n has a value of 9 when DC = 5n - 30 and CE = 6n - 25 and DE = 44.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ4
6. Lines C and D below are cut by transversal, t. Which of
the following is true about the angles formed?
Answer:
m∠8 = m∠2, option G
Step-by-step explanation:
Angles 8 and 2 are alternate interior angles, which means they are equal. Thus, the answer is option G, m∠8 = m∠2
In a random sample of 70 people, it was found that 44 of them were fans of the New York Yankees. What is the margin of error for the true proportion of all individuals who are fans of the New York Yankees? A. 0.0088 B. 0.058 C. 0.063 D. 0.116 E. 0.173
The margin of error for the true proportion of all individuals who are fans of the New York Yankees is 0.058.
The Correct option is (B).
How to find the margin of error?The formula to calculate the margin of error for the true proportion is;
M = √[p(1 - p)/n]
Given:
n= 40
p = 44/70
Now, The general formula for the margin of error would be:
z x √[p (1-p) ÷ n]
where:
z = values for selected confidence level
p = sample proportion
n = sample size
Since the confidence level is not given,
√[p (1-p) ÷ n]
=√[44/70 (1 - (44/70) ÷ 70]
=√[0.6286 (0.3714)] ÷ 70
=√0.2335 ÷ 70
= √0.0033357
= 0.05775 or 0.058
Learn more about Margin Error here:
brainly.com/question/10218601
#SPJ1
3 chairs and 4 tables cost rs 7540. if the price of a chair is 220 find the price of table?
ans - 7120
Answer:
The price of a table is rs1720
Step-by-step explanation:
Let C and T be the individual prices of the tables and chairs.
We know that 3C + 4T = rs7540
We are then told that C = rs220, so we can enter that into the equation to find T:
3C + 4T = rs7540
3(220) + 4T = rs7540 [for C = rs220]
660 + 4T = 7540
4T = rs6880
T = rs1720
Check:
Do 3 chairs at 220 each and 4 tables at 1720 each add to a total of 7540?
Chairs: rs660
Tables: rs6880
Total = rs7540 YES
fill in the blank
The vertext of y= x^2-8x+18 is ( , )
PleASE HELP ASAP
Answer:
Vertex is at (4, 2)
Step-by-step explanation:
to find the 'x' value of the vertex, use 'x = -b/2a'
in this problem, a = 1, b = -8, c = 18
x = -(-8)/2(1)
x = 8/2
x = 4
plug 2 in for 'x' in equation and solve for 'y':
y = 4² - 8(4) + 18
y = 16 - 32 + 18
y = -16 + 18
y = 2
Vertex is at (4, 2)
Mr. Barth is painting an arrow on the school parking lot. He draws the edges between the following points on the coordinate plane: (–2, 2), (5, 2), (5, 6), (12, 0), (5, –6), (5, –2), (–2, –2).
Answer:
sorry
Step-by-step explanation:
Mashika: We already know from polling data that some segments of the electorate provide significant support to Ms. Puerta. If those segments also provide significant support to Mr. Quintana, then no segment of the electorate that provides significant support to Mr. Quintana provides significant support to Mr. Ramirez.
Salim: But actually, as the latest polling data conclusively shows, at least one segment of the electorate does provide significant support to both Mr. Quintana and Mr. Ramirez.
Among the following statements, which is it most reasonable to infer from the assertions by Mashika and Salim?
A. At least one segment of the electorate provides significant support neither to Mr. Quintana nor to Mr. Ramirez.
B. At least one segment of the electorate provides significant support to Ms. Puerta but not to Mr. Quintana.
C. Each segment of the electorate provides significant support to Ms. Puerta.
D. Each segment of the electorate provides significant support to Mr. Quintana.
E. Each segment of the electorate provides significant support to Mr. Ramirez.
Answer:
D. Each segment of the electorate provides significant support to Mr Quintana
Step-by-step explanation:
From the question, we have the following logic statement;
If those segment that provide significant support to Ms Puerto also provide support to Mr. Quintana then no segment of the electorate that provides significant support to Mr. Quintana provides significant support to Mr. Ramirez
Counter to the If Then Logic structure
At least one segment of the lectorate provides significant support to Mr. Quintana and Mr. Ramirez
Therefore, there is at least one segment that provides support to Mr. Quintana but not to Ms. Puerta
The segments that provide support to Ms. Puerta do not provide support to Mr. Ramirez
Mr. Quintana's support includes those from the supporters of Ms. Puerta and those from the supporters of Mr. Ramirez
Therefore, each segment of the electorate provide significant support to Mr. Quintana.
What statements about prisms are always true if the top base is directly above the bottom base? Select all that apply. The lateral faces are rectangles. The bases are congruent. The bases can be any shape. The lateral faces are congruent.
Answer:
The bases are congruent
Step-by-step explanation:
From the question, we understand that the top base and the bottom base are directly opposite one another.
When such a scenario arise, it means that the bases have the same shape, they have the same dimension (i.e. size).
With the above analysis, we can conclude that the bases are congruent.
However, the given information can not be used to determine the shape and congruence of the lateral faces.
Lastly, for the bases to be congruent, they must have the same shape (and not any shape).
Hence, only option (b) is correct
Use the FOIL Method to find (b+3)(b+7).
Step-by-step explanation:
968866j5x4cctyvcyvyvycycc
Two students wrote the equations shown below.
Erica Aliyah
y = -0.5x y = 2.5x - 8
Which statement is true?
A Graphs of both equations will pass through the origin.
B Only Erica’s equation is proportional.
C Both equations have a negative slope.
D Only Aliyah's is proportional
Only Erica's equation (y = -0.5x) is proportional
What is an equation?An equation is used to show the relationship between numbers and variables.
The standard form of a linear equation graph is:
y = mx + b
Where m is the slope of the line and b is the y intercept.
Given the Erica equation:
y = -0.5x
The slope is -0.5, hence it is a negative slope and the intercept is at 0, hence it passes through the origin and is proportional
Given the Aliyah equation:
y = 2.5x - 8
The slope is 2.5, hence it is a positive slope and the intercept is at -8, hence it does not pass through the origin and is not proportional
Both equations are linear equations
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1