Answer:
Almonds cost $8 per pound and Cashews cost $10 per pound.
Assuming pounds of Almonds are denoted as a and Cashews are c, the formula will be:
8a + 10c = 60
Only Cashews:
This means that Almonds would be zero.
8(0) + 10c = 60
10c = 60
c = 60/10
c = 6 pounds of cashews
Only Almonds
8 * a + 10(0) = 60
8a = 60
a = 60/8
a = 7.5 pounds of almonds
A mixture of both.
We can use the formula above to calculate how many of each she can buy but she cannot buy more than 7.5 almonds or more than 6 cashews as she does not have enough money on her.
Assuming she wanted to buy 5 pounds of almonds, she would be able to buy:
8 * 5 + 10c = 60
40 + 10c = 60
10c = 60 - 40
c = 20/10
c = 2 pounds of cashews
Mei releases a lantern for the Lantern Festival. She stands in a field that is 0.5 m belo sea level. The lantern rises 913.9 m. Then the candle in the lantern goes out. The lantern comes down 925.2 m to land on the surface of a lake. What is the elevation o the lake relative to sea level?
Answer:
The lake is 11.3 m below sea level.
Step-by-step explanation:
Mei's initial position on the field was 0.5 m below sea level.
The lantern rises 913.9 m after its release.
The lantern descends 925.2 m to land on the surface of a lake.
Let the elevation of the lake to sea level be represented by x.
So that;
x = 913.9 - 925.2
= -11.3
x = 11.3 m below sea level.
Therefore, the lake is 11.3 m below sea level.
Can someone please help me thanks
Answer:
C and D
Step-by-step explanation:
A, B and E are equations because they have an equal sign
C and D are inequalities because they have one of these symbols:
<, >, ≤, ≥
help me plz i need the answer ? :)
Answer:
D
Step-by-step explanation:
FUNDRAISING The baseball team plans to sell tins of popcorn and peanuts. The players have $900 to spend on products and can order up to 200 tins. They want to order at least as many tins of popcorn as tins of peanuts. A tin of popcorn costs $3, and a tin of peanuts costs $4. Define the variables and write a system of inequalities to represent this situation. Then list any constraints for the variables.
the constraints for the variables is 2
The required inequality is given as 3x + 4y ≤ 900.
Given that,
The baseball team plans to sell tins of popcorn and peanuts. The players have $900 to spend on products and can order up to 200 tins. They want to order at least as many tins of popcorn as tins of peanuts. A tin of popcorn costs $3, and a tin of peanuts costs $4.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Let, the number of pop-corn tin be x and the number of peanuts tin be y,
According to the question,
Cost of the x tin of popcorn = 3x
Cost of the y tine of peanuts = 4y
Now the sum of the cost of popcorn and peanuts must no exceed $900,
So
3x + 4y ≤ 900
Thus, the required inequality is given as 3x + 4y ≤ 900.
Learn more about inequality here:
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A sign says that the price marked on all music equipment is 30% off the original price. You buy an electric guitar for the sale price of $315.
What is the original price?
Answer:
The original price is $409.5
Step-by-step explanation:
the 2 numbers that you have in this equation are 315 and 30% (or .30)
You want to multiply 315 by .3 to get an answer of 94.5
That's the amount of money that was marked down on the guitar
So you want to add 94.5 to 315 which gives you 409.5
so $409.5 is your answer
how much string is left when 1 and 3/4 in are cut from a piece measuring 3 and 1 /6 inches
There is 1.41666... (repeating decimal) string left when 1 and 3/4 are cut from a piece measuring 3 and 1 /6 inches.
please help thank you
Answer:
i think 3.33
Step-by-step explanation:
r = y/x
x=3, y=30
r= 3/10
r=3.33
4. How many solutions does this equation have? 10x = x*
infinitely many solutions
one solution
no solutions
zero solutions
Answer:
trifi
Step-by-step explanation:
4t3 a good relationship is the same way you could get to the claire family thing you want but I have different feelings about the same way
What is the equation of the line that passes through the point (-3, 1) and
has a slope of 4/3?
y = 4/3x +5 is the equation of the line that passes through the point (-3, 1) and has a slope of 4/3.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us use point-slope formula y-y₁ = m(x-x₁) with point (-3,1) and slope m of 4/3.
Plug in the values
y-1 =4/3(x-(-3))
y-1 = 4/3(x+3)
Apply distributive property
y-1 =4/3x +4
Add 1 on both sides
y = 4/3x +5
Hence, y = 4/3x +5 is the equation of the line that passes through the point (-3, 1) and has a slope of 4/3.
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If two sides of a triangle are 5 and 8. The possible third side is
Answer:
12
Step-by-step explanation:
Since 5+8=13, it has to be less than 13. The greatest possible perimeter is 25.
This means that 12 could be a possible side length for the third side.
Nuan is using a faulty barcode scanner that misreads
barcodes 5% of the time. Let B = the number of
barcodes Nuan scans until the scanner misreads one.
Assume the success of each scan is independent.
Find the probability that Nuan scans greater than 10
barcodes before the scanner misreads one.
You
may round your answer to the nearest hundredth.
PB > 10) =
Answer: 0.6
Step-by-step explanation:
0.6 is the probability that Nuan scans greater than 10 barcodes before the scanner misreads one.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
Nuan is using a faulty barcode scanner that misreads barcodes 5% of the time.
Let B = the number of barcodes Nuan scans until the scanner misreads one.
n=10
p=5%=0.05
Mean=1/p=1/1/20=20
Variance=1-p/p²
=1-1/20/(1/20)²
=19/20×400
=380
Standard deviation=√380=2√95=19.493
p(x=10)=0.0315
p(x<10)=0.3697
p(x≤10)=0.40126
p(x>10)=0.598
=0.6
Hence, 0.6 is the probability that Nuan scans greater than 10 barcodes before the scanner misreads one.
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Which system of equations has no solution?
A 3y = 1 + x
y=-2x + 5
B. 4x - 5y = 3
-3 = 4x - 5y
C. 5x + 4y = 1
4x – 2y = 4
O D. y=-3x + 4
y=-x+1
Answer:
b
Step-by-step explanation:
b
I NEED ANSWER QUICK. Will give brainliest
Answer:
A
Step-by-step explanation:
Both of them Equal 4
Do these pairs of values (x and y) represent two quantities that are
proportional?
A. No, because yis not increasing at a constant rat
B. Yes, because as xincreases, yincreases
C. Yes, because all of the pairs
D. No, because only one of the pairs is a simplified ratio.
he sme ratio.
Please can you help me answer this
Answer:
a) The factors of x² + 3·x are x and (x + 3)
x² + 3·x = x·(x + 3)
b) The factors of 2·x² - 8·x are 2, x and (x - 4)
2·x² - 8·x = 2·x·(x - 4)
c) The factors of 6·x + 9·x³ are 3, x and (2 + 3·x²)
6·x + 9·x³ = 3·x·(2 + 3·x²)
d) The factors of 12·x³ - 4·x² are 4, x², and (3·x - 1)
12·x³ - 4·x² = 4·x²·(3·x - 1)
Step-by-step explanation:
The question relates to resolving a polynomial into its factors;
a) For the polynomial (quadratic) equation, x² + 3·x, we have;
x² + 3·x = x·(x + 3)
Therefore, x² + 3·x in factorized form is x·(x + 3)
b) For the polynomial (quadratic) equation, 2·x² - 8·x, we have;
2·x² - 8·x = 2·x·(x - 4)
Therefore, 2·x² - 8·x in factorized form is 2·x·(x - 4)
c) For the polynomial (cubic) equation, 6·x + 9·x³, we have;
6·x + 9·x³ = 3·x × (2 + 3·x²)
Therefore, 6·x + 9·x³ in factorized form is 3·x·(2 + 3·x²)
d) For the polynomial (cubic) equation, 12·x³ - 4·x², we have;
12·x³ - 4·x² = 4·x²·(3·x - 1)
Therefore, 12·x³ - 4·x² in factorized form is 4·x²·(3·x - 1).
If you multiply 0.86 by 7.36, how many decimal places will be in the product?
Answer:
4
Step-by-step explanation:
There are 4 numbers to the right of decimals in question.
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g) (12d + 3) +-14d what's the answer
Answer: -2d+3
Step-by-step explanation:
Please help if you can thank you
Answer:
the answer can be anything close to that your welcome. if you need help text me but first try by your self
2x-8y=16 solve for x
Answer:
x=8+4y
Step-by-step explanation:
Add 8y to both sides:
2x=16+8y
Divide both sides by 2:
x=8+4y
PLEASE HELP ITS 58 POINTS:(!
Tasty Tacos offers delicious steak, chicken, or fish tacos served in your choice of a flour or corn tortilla. The mapping diagram below shows the number of tacos that previous guests have ordered and the total cost of their order
Number of tacos ordered. Total Cost
3 4.25
4 5.60
5 10
6 12.25
Does this represent a function why or why not?
State the domain and range.
Answer:
I do not think that this is a function, but I am not 100% sure
Step-by-step explanation:
/10
The price of the house decreases from $250,000 in 2005 to
$195,000 in 2010. What is the average rate of change for the
house each year?
Answer:
The average rate will be -11000 dollars per year.
Step-by-step explanation:
The price of a house in 2005 = $250,000
The price of a house in 2010 = $195,000
at x₁ = 2005, f(x₁) = 250,000
at x₂ = 2010, f(x₂) = 195,000
Using the formula to determine the average rate of change for the
house each year.
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [195,000 - 250,000 ] / [2010-2005]
= -55000 / 5
= -11000
Therefore, the average rate will be -11000 dollars per year.
A number went into this machine and 36 came out. What number went in?
Answer:
6? If its a squared machine than it is 6 bc 6 squared is 36. sorry if it is wrong.
Step-by-step explanation:
HELP ME A rock garden is in the shape of a triangle as shown. Which equation could be used to find the area of the rock garden?
Whats a fraction thats equivalent to 3/4
Answer:
6/8
Step-by-step explanation:
3/4
3*2=6
4*2=8
6/8= 3/4
Answer: 6/8
Step-by-step explanation:
Write an equation for the nth term of the arithmetic sequence.
16, 8, 0, -8, ...
Answer:
24-8n
Step-by-step explanation:
FORMULA: a1 (n-1) d
a1: 1st term
d: difference
16 (n-1) -8
16-8n+8= 24-8n
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funtion 1 is defined by the equation y= -2t+6 funtion 2 is defined by the line h shown in graph
which funtion has a more negative slope
on Khan academy
Oak Street and Elm Street run parallel to each other. When Main Street
intersects them, it forms interior 26, measuring 70°. What is the measure of
24?
Answer:
110°
Step-by-step explanation:
The consecutive interior angles theorem states that when two parallel lines are cut by a transversal, the pair of angles formed which lie inside the parallel lines on the same side of the transversal are known as consecutive interior angles. This consecutive interior angles are supplementary (that is add up to 180°).
Therefore:
∠4 and ∠6 are consecutive interior angles. Hence:
∠4 + ∠6 = 180° (sum of co-interior angles)
∠4 + 70 = 180
∠4 = 180 - 70
∠4 = 110°
Answer:
110°
Step-by-step explanation:
a p e x
Figure I and Figure II are similar figures.
Which proportion must be true?
*answers are in the picture*
Answer:
St/EF = WR/CD
Step-by-step explanation:
The ratio of corresponding sides is same for all the sides for similar polygon. the correct proportion is,
[tex]\dfrac{ST}{EF} =\dfrac{WR}{CD}[/tex]
Thus the option H is the correct option.
To find the correct proportion we need to know about the properties of slimier polygon.
What are the properties of similar polygon?Two polygons are said to be similar or congruent pentagon-
The corresponding angle of two pentagons are congruent.
The ratio of corresponding sides is same for all the sides.
The figure given in the problem of similar two polygons with six sides.
Rearrange the second figure as shown in figure.
As for the similar polygons, the ratio of corresponding sides is same for all the sides.
Thus the sides shown in the two rearranged figure must be same. Therefore,
[tex]\dfrac{ST}{EF} =\dfrac{WR}{CD}[/tex]
Hence the correct proportion is,
[tex]\dfrac{ST}{EF} =\dfrac{WR}{CD}[/tex]
Thus the option H is the correct option.
Learn more about the similar polygon here;
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Just this one help please and thankyou:)
Ms. Fords kitchen is in the shape of a rectangle with a width of 12.25 feet she is buying a wallpaper border to go on all of the kitchen walls she wants to buy 5 extra feet of the border to make sure she has enough she buys 62.5 feet of the border what's the length of her kitchen?
Answer:
Length of the rectangle = 16.5 feet
Step-by-step explanation:
Border length bought = 62.5 feet
Including 5 feet extra
Border length needed = 62.5 feet - 5 feet
= 57.5 feet
Border needed = perimeter of the rectangle = 57.5 feet
Width of the rectangle = 12.25 feet
Length of the rectangle = x feet
Perimeter of a rectangle = 2(Length + width)
57.5 =2(x + 12.25)
57.5 = 2x + 24.5
57.5 - 24.5 = 2x
33 = 2x
x = 33/2
x = 16.5 feet
Length of the rectangle = 16.5 feet