Aryon is left with $9.25 of money after he has paid for his lunch.
According to the question,
We have the following details:
Total amount Aryon has = $20
The cost of 1 coke = $1.50
So, the cost of 2 cokes = $(2*1.50)
The cost of 2 cokes = $3
The cost of a sandwich = $5.50
The cost of a bag of chips = $2.25
So, the total cost of all the materials = the cost of 2 cokes + the cost of a sandwich + the cost of a bag of chips
The total cost of all materials = $(3+5.50+2.25)
The total cost of all materials = $10.75
Now, the money Aryon has = Total money he has - the total cost of all materials
The money Aryon is left with = $(20-10.75)
The money Aryon is left with = $9.25
Hence, the money Aryon is left with is $9.25.
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Greta is opening a savings account. She starts with $100 and plans to add $50 each week. How do you write an equation she can use to calculate the amount of money she have after any number of weeks. How much money will she have after 1 year?- what is the unit rate of change for this situation
Answer:
100+50n
n stands for the number of weeks
There are about 52 weeks in a year, so
100+50(52) = 2700
Greta would have $2700 after 1 year
in the market for canadian dollars measured in us dollars, if the price of a us dollar is 1.10 canadian dollars, a canadian dollar is a.1.10 us dollars b.1 us dollar c.0.99 cents us d.0.91 cents us
The price of one canadian dollar in US dollars is 91 cents or 0.91 US dollars.
It is given that the price of a US dollar is 1.10 Canadian dollars in the market.
Thus we can say that,
1.10 Canadian Dollar = 1 US Dollar
∴ 1 Canadian Dollar = [tex]\frac{1}{1.10}[/tex] US Dollars
⇒ 1 Canadian Dollar = 0.91 US Dollars
Now we know that 1 US Dollar = 100 cents
∴ 0.91 US Dollars = 0.91 x 100 = 91 cents
Hence the value of 1 Canadian Dollar is 0.91 US Dollars or 91 cents.
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help me with math, its 8th grade 100 points look at attachment
Answer:
1)
The hypotenuse is the longest side of a triangle. It is ALWAYS the one across from the right angle (depicted as the box in the corner at 90 degrees). Therefore the 2 sides that intersect the 90-degree angle are "leg" and "leg" and the longest side is the"hypotenuse"
2)
The Pythagorean theorem states: [tex]a^{2} + b^{2} = c^{2}[/tex] where a and b are sides and c is the hypotenuse.
[tex]a^{2} + b^{2} = c^{2} \\8^{2} + 6^{2} = c^{2} \\64 + 36 = c^{2} \\100 = c^{2} \\\sqrt{100} = c\\10 = c[/tex]
For your purposes, a and b do not matter which number you choose as long as you make sure that they are sides and not the hypotenuse.
3)
The Pythagorean theorem states: [tex]a^{2} + b^{2} = c^{2}[/tex] where a and b are sides and c is the hypotenuse.
[tex]a^{2} + b^{2} = c^{2} \\4^{2} + 7^{2} = c^{2} \\16 + 49= c^{2} \\65 = c^{2} \\\sqrt{65} = c\\8.0622 = c[/tex]
Hope that helps!
-4 + (-5) =
1 + (-4) =
Answer:
-9,-3
Step-by-step explanation:
-4+-5 = -9
1+-4 = -3
Think about a number line to help you
Answer: -4 + (-5) = -9
1 + (-4) = -3
Step-by-step explanation: Subtract -4 and -5 and u get -9. Subtract 4 and 1 to get -3
Twenty students participated in a psychology experiment which measured their heart rates in two different situations.
Which situation shows greater variability?
Twenty students participated in a psychology experiment which measured their heart rates in two different situations.[75,100] situation shows greater variability.
f(75)=1
f(80)=4
f(90)=5
f(95)=4
f(100)=1
The measure of center should be median as the data is a bit scattered whereas the measure of variability should be the range of it.
Mean should be the measure of center as the data is concentrated in the middle the most whereas the standard deviation should be the measure of variability.
How far apart points are from one another and from the center of a distribution or a data collection is shown by variability. Spread, scatter, and dispersion are other terms for variation.
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A store owner mixes 2 Ib of candy that costs x dollars per pound with 3 Ib of candy that costs $1.50 per pound. She sells the mix for $2.50 per pound.
On solving the linear equation 12.5 = 2x + 4.5, we find that cost of first type of candy is $4 per pound
What is an linear equation in one variable?Linear equation is an equation containing one unknown variable with power one and constants.
The standard form of an linear equation in one variable x is :
ax + b = 0 , where a, b are constants
x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting, multiplying, dividing same number to both sides.
Given that there are two types of candies one is of x dollars per pound
and one is of $1.50 per pound
Cost of 2lb of candy that costs x dollars per pound = 2 × x = $ 2x
Cost of 3lb of candy that costs $1.50 per pound = 3 × 1.5 = $ 4.5
2lb of one type of candy and 3lb of other type of candy are mixed to form a mix of weight 2lb + 3lb = 5lb
The cost of one pound of mixture = $2.50
The cost of 5lb of such mixture = $ 5× 2.50 = $ 12.5
Cost of 5lb mix = Cost of 2lb candy of first type + Cost of 3lb candy of second type
⇒ 12.5 = 2x + 4.5
Subtract 4.5 from both sides,
⇒ 12.5 - 4.5 = 2x
⇒ 8 = 2x
Divide both sides by 2
⇒ 4 = x
Therefore, the cost of first type of candy is $ 4 per pound
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Tom walked a total of 15 kilometers by making 5 trips to school. Later on, he walked 33
kilometers during 11 trips. How many kilometers does Tom walk per trip?
4) A group entering a zoo purchased 33 admission tickets for a total of $139.50. Adult tickets (x) cost $7.50 and
tickets for children (y) cost $3.50. How many of each type of ticket were purchased?
/5 points
The number or children tickets are 24 and adults tickets are 9.
How to illustrate the information?Adult tickets (x) cost $7.50 and tickets for children (y) cost $3.50. The equation will be:
7.5x + 3.5y = 139.5
There are 33 tickets. This will be:
x + y = 33
x = 33 - y.
Recall 7.5x + 3.5y = 139.5
Substitute for x.
7.5(33 - y) + 3.5y = 139.5
247.5 - 7.5y + 3.5y = 139.5
-4.5y = 139.5 - 247.5
4.5y = 108
y = 108/4.5
y = 24
Number of children ticket = 24
Adult tickets = 33 - 24 = 9
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The graph of the function p(x)=x^3+x^2+4x+4 is shown below
Find all real and complex roots of the function. The Zeros are:
List the zeros as complex numbers. Separate answers by commas as needed.
Answer:
1 ; -2·i ; 2·i
Because x = -1 is a real root, you can divide
(x^3 + x^2 + 4·x + 4)/(x + 1) = x^2 + 4
Roots of x^2 + 4 are
x^2 + 4 = 0
x^2 = -4
x = ± 2·i
All real and complex roots are
1 ; -2·i ; 2·i
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Aisha went shopping for a new pair of sneakers. The listed price of the pair of
sneakers was $43, but the price with tax came to $44.29. Find the percent sales tax.
The percent sales tax of the purchase is 3 %.
How to find percent sales tax?A sales tax is a consumption tax imposed by the government on the sale of goods and services.
She went shopping for a new pair of sneakers.
The listed price of the pair of sneakers was $43, but the price with tax came to $44.29.
Therefore, the percent sales tax can be found as follows:
sales tax = 44.29 - 43
sales tax = $1.29
Therefore,
percent sale tax = sale tax / cost with tax × 100
percent sale tax = 1.29 / 43 × 100
percent sale tax = 129 / 43
Therefore,
percent sale tax = 3%
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Here is an inequality: 7x+6<3x+2
Select all values that are solutions
x=1
x=0
x=-1
x=-2
x=-8
Answer:
x < -1
Step-by-step explanation:
7x + 6 < 3x + 2
7x - 3x + 6 < 2
7x - 3x < 2 - 6
4x < -4
x < -4 / 4
x < -1
Help pleaseeeeee (ignore the part that says explain math mistake)
Check the picture below.
Jose will spend at most $20 on gifts. So far, he has spent $12 . What are the possible additional amounts he will spend?
Answer:8 dollars
Step-by-step explanation:
20-12=
Enter the values for the highlighted variables that show how to subtract the rational expressions correctly: StartFraction 2 Over x squared minus 36 EndFraction minus StartFraction 1 Over x squared + 6 x EndFraction = StartFraction 2 Over (x + 6) (x minus 6) EndFraction minus StartFraction 1 Over x (x + a) EndFraction. = StartFraction b x Over (x + 6) (x minus 6) x EndFraction minus StartFraction x minus c Over (x + 6) (x minus 6) x EndFraction. = StartFraction d x minus x + e Over (x + 6) (x minus 6) x EndFraction. = StartFraction x + f Over (x + 6) (x minus 6) x EndFraction. = StartFraction g Over x (x minus 6) EndFraction
Answer:
6, 2, 6, 2, 6, 6, 1
Step-by-step explanation:
a = 6
b = 2
c = 6
d = 2
e = 6
f = 6
g = 1
Answer: 6, 2, 6, 2, 6, 6, 1
Step-by-step explanation:
Determine which integer(s) from the set S:{−40, 2, 20, 42} will make the inequality three eighths m minus three is less than one fourth m plus 2 false.
Answer:
{-40, 2}
Step-by-step explanation:
Part A: -40/8 x 3/8 would be
120/8 but then we have to subtract it from 3
that would be 117/8 then we simplify it 14 -5/8.
Part B: first it would be 2 plus 2 and that's 4 and then make 4 into a fraction
4/4 we simplify that 1 0/4.
14 -5/8 < 1 0/4.
Hope This Helped!
Write the ratio 9:4 in the form n: 1
The ratio 9:4 in the form n:1 is 2.25:1.
The given ratio is 9:4.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
We need to write the given ratio in the form n:1
Divide the given ratio by 4
9/4 : 4/4
⇒ 2.25:1
Therefore, the ratio 9:4 in the form n:1 is 2.25:1.
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Betrys is making a vegetable stew for 8 people
Answer:
150 gram is the word
Here is a linear equation: y = 2/3x + 1 Are (6, 5) and (9, 8) solutions to the equation? Explain or show your reasoning.
O LINEAR EQUATIONS
Finding the dimensions of a rectangle given its perimeter and a...
The length of a rectangle is three times its width.
If the perimeter of the rectangle is 64 yd, find its length and width.
length: yd
width: yd
X
Answer: width=8, length=24
Step-by-step explanation:
2(x+3x)=64
2x+6x=64
x=8
width (x)=8
length (3x)=24
perimeter=2(x+3x)=64
how do i multiply this and simplify (2x+6)^2
Answer:4x^2+24x+36
Step-by-step explanation:
when you have it squared it turns into (2x+6) (2x+6) then you distribute it which gives you 4x^2+12x +12x+36 when you simplify that you et 4x^2+24x+36
72=6x
What is x equal to?
Answer:
12
Step-by-step explanation:
72:6=12
1x=12
hope ut help
If * = 8 units, y= 13 units, and h= 11 units, then what is the area of the parallelogram shown above?
The area of the figure shown below is equivalent to 88 square units.
Properties of a parallelogramA parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry.
The opposite sides of a parallelogram are congruent and the sum of their adjacent side is equivalent to 180 degrees.
The formula for calculating the area of a parallelogram is expressed as;
Area = length * breadth
Area = x * h
Area = 8 * 11
Area = 88 square units
Hence the area of the parallelogram above is 88 square units.
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Drag each statement to show whether it is true, based on the graph.
The price per one pound of almonds equal $2.20/0.65 lb
0.65 pounds of almonds cost $2.20
Verify each case
case 1) The price per one pound of almonds equal $2.20/0.65 lb
The statement is true
To find the price per one pound calculate the unit rate
So,
$2.20/0.65 lb=$3.38 per one pound
case 2) 2.2 pounds of almonds cost $0.65
The statement is not True
The correct is 0.65 pounds of almonds cost $2.2
case 3) Each bag of almonds weighs 2.2 pounds
Cannot be determined
In the problem there is no information about how much each bag of almonds weighs
case 4) 0.65 pounds of almonds cost $2.20
The statement is True
The point (0.65,2.20) lie to the line of the the graph.
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Question 2
What is the definition of
congruence?
A) If two figures have the same shape, then they are congruent.
B) If two figures have the same area, then they are congruent.
C) If there is a sequence of transformations taking one figure to another, then they are congruent.
D) If there is a sequence of rotations, reflections, and translations that take one figure to the other, then they are congruent.
Next Question
Answer:
A. If two figures have the same shape, then they are congruent.
pls help my mom is mad at me Tyler was making a meal for his family. For every 3/4 pound of beef, the recipe calls for 9/8 cups of broccoli. How many cups of broccoli would be needed for a pound of beef?
Group of answer choices
1 and ½ cup of broccoli per beef
1/2 cup of broccoli per beef
2/3 pound of broccoli per beef
5/4 cup of broccoli per beef
Answer:
1 1/2
Step-by-step explanation:
for divide 3 for 9/8 and 3/4 so 9/8 divide 3 so 3/8
So there is 3/8 for each 1/4. Then time 4 so one pound is 12/8 and you simplify your answer is 3/2 or 1 1/2
Pls give brainliest
the figure is a rectangular pyramid the base is rectangle abcd and the four faces abe bce cde and ade b=meet at the vertex e the edges are ab bc cd ad ae be ce and de the vertices are abce and e
Answer:
here you go I guess
Step-by-step explanation:
Find the y-intercept of the quadratic function: g(x)=2(x+3)^2+8
x-intercept:
(−3,0)
y-intercept:
(0,118098)
Question 8 (1 point)
Identify the slope as POSITIVE, NEGATIVE, ZERO, OR UNDEFINED.
Answer:
Step-by-step explanation:
i think its undefined
Find WI if IE = 3
EW and YG are medians of XYW
Based on the definition of the median and applying the centroid theorem, the length of WI is calculated as: 6 units.
What is the Median of a Triangle?The line that joins the vertex of a triangle to the midpoint of the side it is directly opposite is called the median of a triangle.
Medians intersect each other at a point inside the triangle that is called the centroid. Based on the centroid theorem, since J is the centroid of triangle XYW, then:
the length of IE is one-third of the length of segment EW (referring to the image given in the question that shows triangle XYW)
Thus, we have the equation that relates the length of the segments as shown below:
IE = 1/3(EW)
Given that:
IE = 3 units
Substitute the value of IE into the equation:
3 = 1/3(EW)
3(3) = EW
9 = EW
EW = 9 units
Therefore:
Length of WI = the length of EW - the length of IE
Substitute
Length of WI = 9 - 3
Length of WI = 6 units.
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Question 6(Multiple Choice Worth 2 points)
(Multiplying and Dividing with Scientific Notation MC)
How many times larger is 8 x 105 than 4 x 10³?
2,000
200
20
2.0
8 × [tex]10^5[/tex] is 200 times greater than 4 × [tex]10^3[/tex] as according to multiplying and dividing as per the scientific notation of multiplication and division.
What is scientific notation?A kind of representation of number which is some power of 1/10 can also be expressed in as easily in scientific notation.
1/10 = [tex]10^{-1[/tex] (“ten to the minus one power”)
More generally, the expression “[tex]10^{-n[/tex]” (where n is a whole number) means (1/10) n. Thus
[tex]10^{-3[/tex] = [tex]\frac{1}{10}^{-3}[/tex]
= 1/1000
[tex]10^{-8[/tex] = [tex]\frac{1}{10}^{-8[/tex]
= 1/100,000,000
Scientific notation was invented to help scientists (and science students) deal with very large and very small numbers, without getting lost in all the zeros.
Herein this question
8 × [tex]10^5[/tex] can also thus be written as 2 x 4 × [tex]10^5[/tex]. On dividing with 4 × [tex]10^3[/tex] we get 2 x [tex]10^2[/tex]. Thus, it is 2 x [tex]10^2[/tex] i.e., 200 times larger than 4× [tex]10^3[/tex].
The expression “10n”, where n can be stated as a whole number, simply means that “10 is raised to the nth power,” or in other words, a number that is got by using 10 as a factor n times.
You can also notice that the number of zeros that are present in the ordinary decimal expression is absolutely equal to the power to which thus 10 is raised.
If any kind of number is expressed in words, first we have to write it down as an ordinary decimal number and then we have to convert it. Thus, the value “ten million” becomes 10,000,000. There are a total of seven zeros, so in powers of ten notation ten million is written [tex]10^7[/tex].
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