Let
x----------> represents the number of pounds of peaches bought
y----------> represents the total cost of the peaches
we know that
Peaches are being sold for [tex]2\frac{\$}{pound}[/tex]
so
the equation that best describes the values of x and y is equal to
[tex]y=2x[/tex] or [tex]x=y/2[/tex]
The relationship between the two variables, x, and y, represent a direct variation
therefore
the answer is
[tex]y=2x[/tex] or [tex]x=y/2[/tex]
y+7=9/10(x+3) in standard form
The equation y + 7 = 9/10(x + 3) is converted into standard form by distributing, isolating y, eliminating fractions, and rearranging terms, resulting in the standard form 9x - 10y = 43.
The equation y + 7 = 9/10(x + 3) needs to be converted into standard form. The standard form of a linear equation is Ax + By = C where A, B, and C are integers, and A should be non-negative.
To put the given equation into standard form, we need to distribute the 9/10 across the (x + 3) and then isolate y on one side:
y + 7 = (9/10)x + (9/10)x3
Step 1: Multiply 9/10 by each term in the parentheses.
y + 7 = (9/10)x + 27/10
Step 2: Subtract 7 from both sides to isolate the y term.
y = (9/10)x + 27/10 - 70/10
y = (9/10)x - 43/10
Step 3: To get rid of the fraction, multiply the entire equation by 10.
10y = 9x - 43
Step 4: Finally, to put this into standard form, we need to move the x term to the left side of the equation.
-9x + 10y = -43
Here, our standard form would be 9x - 10y = 43, as we usually do not want a negative A term in standard form.
The average weight of an almond is 1,200 milligrams. You buy 65 almonds at the price of $0.10 per gram. How much do you pay for the almonds?
Final answer:
To find the total cost for 65 almonds at $0.10 per gram, multiply the weight of one almond (1.2 grams) by the number of almonds (65), then multiply the total weight by the price per gram. The total cost is $7.80.
Explanation:
To calculate the total cost of 65 almonds when the average weight of an almond is 1,200 milligrams and the price is $0.10 per gram, we will first need to determine the total weight of the almonds in grams and then multiply by the price per gram.
Convert the average weight of one almond to grams: 1,200 milligrams = 1.2 grams (since 1,000 milligrams = 1 gram).
Multiply the weight of one almond by the number of almonds: 1.2 grams/almond × 65 almonds = 78 grams.
Calculate the total cost by multiplying the total weight by the price per gram: 78 grams × $0.10/gram = $7.80.
Therefore, you would pay $7.80 for 65 almonds.
Edward jogs 34 of a mile around a park. Edward jogged around the trail 2 times in 1 hour. What is Edward's speed in miles per hour?
HELP PLEASE!!!!! HELP
What is the number in scientific notation?
Drag the answer into the box to match the number.
855,000,000,000
A: 8.055 x 10 ^-8
B: 8.5 x 10^9
C: 8.55 x 10 ^-11
D: 8.55 x 10^11
E: 8.5 x 10^7
F: 8.055 x 10^8
what is the opposite of zero on a number line
Which expression is equal to 4−−√40−3−−√45 ?
7/4 - 1.76
Please help -.-
PLEASE HELP ME! Jerry has 2 1/2 pounds of peanuts to share equally. He plans to share the peanuts amoung 5 people. How many pounds of peanuts will each person get? Express your answer in simplest form.
Can anyone help me with this question? If you can explain, please do so!
there are 20 cookies and 40 slices of pizza to be shared equally. Each student had the same number of whole cookies and same number of pizza with nothing left over. How many students could go to the party?
how many slices of pizza will each get?
how many cookies will each get?
jon weighs 148 lbs and hopes to gain 2 lbs a week matt weighs 193 lbs and hope to lose 1 lb a week how many weeks till the weight is the same
Use the associative property to identify which expression is equal to (10)(5x)(7).
A. (7)(5x)(10)
B. 10(5x + 7)
C. (10*5)(x*7)
D. (5x)(10)(7)
Help please, thanks in advance!
at the soda shop they sold forty eight hotdogs on monday and eighty on tuesday. how many times as many did they sell in monday than they sold on tueday?
Which equation will help you solve this problem?
You have 16 books and 2 shelves to store them.
If you split them equally between the 2 shelves, how many books will be on each shelf?
In timra’s math class, there are 12 boys and 15 girls. What is the ratio of boys to girls in timra’s math class
In Timra's math class, the ratio of boys to girls is 12:15, which can be simplified to 4:5. This means for every 4 boys, there are 5 girls.
Explanation:In Timra's math class, there are 12 boys and 15 girls. The ratio of boys to girls in this case would be represented by the number of boys followed by the number of girls, separated by a colon. Therefore, the ratio of boys to girls is 12:15. You can also simplify this ratio by dividing both numbers by their greatest common divisor which is 3. After doing so, you will get a simplified ratio of 4:5. This means that for every 4 boys in the class, there are 5 girls.
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8/9(54x−36)+2=−3/4(−40+16x)+90x solve for x
What is the product of −2 1/2 and −3 1/3 ? a−8 1/3 b−616 c6 1/6 d8 1/3
Answer:
d 8 1/3
Step-by-step explanation:
Use scientific notation to find the product of 4.59 · 10 -5 and 30. Include all of your calculations in your final answer.
I am 5 more than 6 times 10?what number am i?
Your local bakery charges $6.00 for one dozen of doughnuts. (One dozen is 12 doughnuts). If you purchase any number of doughnuts over one dozen, you will only have to pay $0.40 per doughnut. The total cost of any number of doughnuts is given by the expression below.
6+.40(d−12)
Which part of the expression represents the number of doughnuts purchased at the discounted rate?
A. d
B. (d−12)
C. 6
D. .40(d−12)
The Outdoors Club members are planning some activities to do on a sunny autumn Saturday. One half of the members are going hiking. One fourth of the members are bike riding. One eighth of the members are rock climbing. Nine of the members are walking their dogs. How many Outdoor Club members are doing an activity on Saturday?
Answer:
72
Step-by-step explanation:
Lets say total number of Outdoor club member = [tex]x[/tex]
Members going for hiking = [tex]\frac{x}{2}[/tex]
Members going for bike riding = [tex]\frac{x}{4}[/tex]
Members going for rock climbing = [tex]\frac{x}{8}[/tex]
Member going for walking their dogs = 9
Thus,
[tex]x=\frac{x}{2}+\frac{x}{4}+\frac{x}{8}+9[/tex]
[tex]x-\frac{x}{2}-\frac{x}{4}-\frac{x}{8} = 9[/tex]
[tex]\frac{8x-4x-2x-x}{8}=9[/tex]
[tex]\frac{x}{8}=9[/tex]
[tex]x=72[/tex]
72 Outdoor Club members are doing an activity on Saturday.
Ted Thomason found a good deal when he purchased a bedding set. He paid the store's clerk two $20 bills and a $5 bill. The clerk gave him $2.65 in change. If the sales tax is 7.2%, what was the selling price of the bedding set before taxes?
Farmer Ed has 3,500 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, what is the largest area that can be enclosed?
Answer:
Because it is a rectangle, the area is expressed as A = xy, or length times width.
Step-by-step explanation:
Because it is next to the river, he only needs to fence three sides, so F = x + 2y.
Knowing the amount of fencing available is 7500m, we get:
7500 = x + 2y solve for x
x = 7500 - 2y substitute into the area equation
A = (7500 - 2y)y distribute
A = -2y2 +7500y
You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = -b/2a = -7500/[2(-2)] = 1875
x = 7500 - 2(1875) = 3750
A = 3750(1875) = 7,031,250 m2
If Farmer Ed has 3,500 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, Then 7,031,250 is the largest area that can be enclosed.
What is Rectangle?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).The opposite sides of a rectangle are equal and parallel.
As it is next to the river, he only needs to fence three sides, so F = x + 2y.
Knowing the amount of fencing available is 7500m, we get:
7500 = x + 2y
solve for x
x = 7500 - 2y
substitute into the area equation
A = (7500 - 2y)y
Distribute
A = -2y2 +7500y
You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = -b/2a = -7500/[2(-2)] = 1875
x = 7500 - 2(1875) = 3750
A = 3750(1875) = 7,031,250 m².
Hence 7031250 is the largest area that can be enclosed.
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A popular chain of superstores made 3.0479×108 dollars in profit last year. One particular store in the chain made 2.102×106 dollars in profit last year.
How many times greater is the profit made by the entire chain last year than by this particular store?
Drag and drop the values into the boxes to represent the answer in scientific notation.
0.145 1.45 145 10^2 10^14 10^48
____X_____times greater
To make 3.7 a whole number, multiply by ?
State the slope of the line in simplest form.
. Rotate 270 clockwise around the origin, and then translate 2 units up. (2, 10) (9, 5) (12, 2) (12, 10)
the tax on a $400 painting is $34 what should be the tax on a $700 painting
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠n + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 3; it should be m∠m + m∠n + m∠o = m∠o + m∠p
Step 2; it should be m∠o − m∠p = 90 degrees (complementary angles)
PLEASE HELP!!!
Answer:
its step 3
Step-by-step explanation:
i just took the test.
Multiply. (75)(−54) Enter your answer as an improper fraction, in simplified form, in the box.