The total cost of 245 pounds of squash and 3110 pounds of zucchini is $4965.4.
What is Unitary method?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
Given that,
The unit rate for squash and zucchini is $1.48 per pound.
In order to calculate the cost for 245 pounds of squash and 3110 pounds of zucchini unitary method can be used as follows,
The cost for 245 pounds of squash is 245 × 1.48 = $362.6
And, the cost for 245 pounds of squash is 3110× 1.48 = $4602.8.
Thus, the total cost is given as 4602.8 + 362.6 = $4965.4.
Hence, the total cost of vegetables at the given rate is $4965.4.
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Solve the proportion 9/x = 18/5
Answer:
22.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Cross multiply:
9 * 5 = x * 18
Simplifying
9 * 5 = x * 18
Multiply 9 * 5
45 = x * 18
Reorder the terms for easier multiplication:
45 = 18x
Solving
45 = 18x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-18x' to each side of the equation.
45 + -18x = 18x + -18x
Combine like terms: 18x + -18x = 0
45 + -18x = 0
Add '-45' to each side of the equation.
45 + -45 + -18x = 0 + -45
Combine like terms: 45 + -45 = 0
0 + -18x = 0 + -45
-18x = 0 + -45
Combine like terms: 0 + -45 = -45
-18x = -45
Divide each side by '-18'.
x = 2.5
Simplifying
x = 2.5
0.3 km are in how many miles?
Answer:
There are 0.186411 miles in 0.3 km.
Translate the algebraic expression below into a written expression.
Answer:
b is the anwer of youre question
Answer:
B
Step-by-step explanation:
the plus sign means sum so that leaves you with the first two choices already
c has an exponent of two so that would be called squared, and that leaves you with the second one
At a local fitness center members pay an 8$ membership fee and $3 for each aerobics class nonmembers pay $5 for each aerobics class for what number of aerobics classes will the cost for members and nonmembers be the same
Answer:
4 aerobics classes
Step-by-step explanation:
8 + 3x = 5x
8 = 2x
4 = x
A race is 20 miles long . There is water station every 1 1/4 miles along the race route. How many water stations are needed for this race ?
Answer:
16
Step-by-step explanation:
just divide 20 by 1 1/4
NEED HELP FOR THIS QUESTION! PLEASE TAKE A LOOK AT IT!!
Answer:
90g strawberry jelly, 6 sponge fingers, 315ml custard and 45g tinned fruit
Step-by-step explanation:
just divide everything by 4 to see the value for one and then multiply that value by three!
10y+15=7y+45
what does y equal
Answer:
10
Step-by-step explanation:
10y+15=7y+45
10y-7y=45-15
3y=30
y=10
hope it helps you!
If A = –2x + 8 and B = 2x – 4, find an expression that equals 2 A + B
in standard form.
Answer:
Answer: -2x+12
Step-by-step explanation:
So, it says the expression equals 2A + B. That means you need to multiply the equation for A by 2 and then add the equation of B to it. The question is asking you to write it in standard form. It would look like this:
2(-2x+8) + 2x-4
-4x+16+2x-4
-2x+12
x2 + 6 x+8 = 0
What is the factors
Answer:
Step-by-step explanation:
The members of the Math team contributed a total of $9.10 for the party after their practice. Each member contributed the same amount of money in dimes only. How many members are in the team and how much money did everyone contribute? Give all possible answers.
Answer:
Number of possibilities
1) 91 members that contribute 1 dime each ($0.10)
2) 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)
3) 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)
Step-by-step explanation:
A dime = $0.10 in dollars
We are told that:
The total amount contributed = $9.10 for the party after their practice.
Each member contributed the same amount of money in dimes only.
Let the number of members be represented as: x
Number of possibilities
We find the factors of $9.1
= 1, 0.7, 0.13, 9.1
= 1 × 9.1
= 0.7 × 13
= 0.13 × 70
Hence:
1) $0.10 × x = $9.10
x = $9.10/$0.10
x = 91
Therefore, from the calculation above, there are 91 members and each of them contributed the same amount which was 1 dime ($0.10).
2)
7($0.10 )× x = $9.10
x = $9.10/$0.70
x = 13
Therefore, from the calculation above, there are 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)
3) 13($0.10) × x = $9.10
x = $9.10/$0.13
x = 70
Therefore, from the calculation above, there are 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)
What is the distance between (8, -3)and (4,−7)?
Answer:
+4sqrt(2)
Step-by-step explanation:
Note that the horizontal distance is 8 - 4, or 4 (which is the "run") and that the vertical distance is -3 - (-7), or 4 (which is the "rise"). Applying the Pythagorean Theorem, we get:
distance = length of hypotenuse = +sqrt(4^2 + 4^2) = +4sqrt(2)
7y + 2x − 10y + 3x^2 − 10x.
Answer:
67
Step-by-step explanation:
Answer:
3x² - 8x - 3y
What do you think would happen if you kept writing zeros to the right of the decimal point in 1.000 and continued to divide ?
Answer:
The same thing would happen over and over again.
What is the area of this figure?
9 m
7 m
6 m
2 m
5 m
6 m
3 m
5 m
Write your answers using decimals, if necessary.
The total area of the composite figure made up of triangle, rectangle and square is; 106 m²
What is the Area of the Composite Figure?The area of the Triangle is;
A_t = (1/2) * (6 + 4) * 9
A_t = 45 m²
Area of Square;
A_s = 5 * 5
A_s = 25 m²
Area of Rectangle is;
A_r = 6 * 6
A_r = 36 m²
Total Area = 45 m² + 25 m² + 36 m²
Total Area = 106 m²
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The product of Greg's height and 5 is 90
Answer:
450
Step-by-step explanation:
is the answer
slove this for me please
Answer:
-10
Step-by-step explanation:
divide both sides by -4
simplify to v+8=-2
subtract 8 from both sides
v=-10
PHOTO ADDED
NEED URGENT HELP
Answer:
A
Step-by-step explanation:
its a geo match to the ? type thing
What is the value of A when we rewrite 4^x+3-4^x as A times 4^x
This looks simple I belive the answer would be 35 because 4^x + 31^x = 35^x
Yumiko has a rectangular-shaped patio. She wants to double the area of the patio by increasing the length and the width by the same amount.
The length is 14 and the width is 10.
a. Write a function, in factored form, to calculate the number of feet Yumiko would need to add to the length and width.
b. What are the dimensions of the patio, rounded to the nearest hundredth feet?
I am not very good with completing the square and would like to understand it better. Any help would be very appreciated!
Answer:
For a rectangle of length L and width W, the area is:
A = L*W
In this case, we start with:
L = 14ft
W = 10ft
Then the initial area is:
A = 14ft*10ft = 140ft^2
a) Now she wants to increase the same amount in each measure, then the new measures will be:
L = 14ft + x
W = 10ft + x
Now we want this new area to be twice the one that we got before, then the equation will be:
(14ft + x)*(10ft + x) = 2*140ft^2 = 280ft^2.
b) Let's solve the equation:
(14ft + x)*(10ft + x) = 280ft^2
First lets distribute the multiplication:
140ft + x*10ft + 14ft*x + x^2 = 280ft
Now let's group terms with the same power of x.
x^2 + (10ft + 14ft)*x + 140ft - 280ft = 0.
x^2 + 24ft*x - 140ft = 0.
Now we need to solve this quadratic equation, here we must use the Bhaskara equation for quadratic equations, and we will get two solutions for x.
[tex]x = \frac{-24ft +- \sqrt{(24ft)^2 - 4*140ft*1} }{2*1} = \frac{-24ft +- 33.7ft}{2}[/tex]
Then the two solutions are:
x = (-24ft - 33.7ft)/2 = -28.9 ft
This solution is negative, so it does not make sense and we can discard it.
x = (-24ft + 33.7ft)/2 = 4.85ft
This is positive, so we can use this.
Now we can find the new length and width:
L = 14ft + 4.85ft = 18.85ft
W = 10ft + 4.85ft = 14.85ft
PLEASE ANSWER!! Quadrilateral PQRS is shown on the coordinate plane.
Answer:
i have no idea
dont spam "please answer" its not cool
2/7x + 1/5x = 34 x= what?
Answer:
70
Step-by-step explanation:
[tex]\frac{2}{7}x +\frac{1}{5}x=34[/tex]
We need to combine like terms but since they are fractions we first need to find a common denominator. The common multiple of 5 and 7 is 35 so we need to multiply 7 by 5 and 5 by 7, but we have to do the same to the numerator too.
[tex]\frac{2*5}{7*5} +\frac{1*7}{5*7}[/tex]
[tex]\frac{10}{35}x+\frac{7}{35} x=34[/tex]
Combine like terms
[tex]\frac{17}{35}x=34[/tex]
Divide 34 by [tex]\frac{17}{35}[/tex]
[tex]\frac{34}{1} *\frac{35}{17} =\frac{1190}{17} =70[/tex]
Need help!!!! Don’t understand how to do this!
The 2 Johnson children are playing a game. The
game has 10 cards that are passed out. Each child
gets the same number of cards. How many cards
does each child get?
Answer:
each child gets 5 cards
Step-by-step explanation:
just do 10/2 and you get 5
Answer:
5 cards
Step-by-step explanation:
10 divided by 2 is 5
i need help on this problem im stuck on it
Answer:2.8
or
2.83333
Step-by-step explanation:
Given : A table is given to us . The table is ,
[tex]\begin{tabular}{|c|c|}\cline{1-2} \bf Day of week & \bf Minutes Spend \\\cline{1-2} Sunday & 23 \\\cline{1-2} Monday & 38 \\\cline{1-2} Tuesday & 42 \\\cline{1-2} Wednesday & 17 \\\cline{1-2} Thursday & 29 \\\cline{1-2} Friday & 10 \\\cline{1-2} Saturday & 11 \\\cline{1-2} \end{tabular}[/tex]
To Find : The total hours spend by Marisol on reading .
Solution : Total hours spend on reading will be equal to the sum of time taken by him each day on reading .
So , total time of reading will be ;
= (23 + 38 + 42 + 17 + 29 + 10 + 11) min
= 170 min .
= 120min + 50min .
= 2 hours 50mim .
[tex]\boxed{\red{\bf Correct\:option - [d]}}[/tex]
1-cos2a/1+cosa if 1/3 how much sin²a
Answer:
(1-cos2A) /(1+cos2A) =tan²A
Proof:
We know that,
cos(A+B) =cosA.cosB-sinA.sinB
=>cos2A=cos(A+A)
=>cos2A=cosA.cosA - sinA.sinA
=>cos2A=cos²A-sin²A
=>cos2A=(cos²A-sin²A)/(cos²A+sin²A
Since {cos²A+sin²A=1}
Divide the numerator & the denominator by (cos²A) to get,
cos2A = {(cos²A-sin²A) ÷cos²A} / {(cos²A+sin²A) ÷cos²A}
cos2A ={(1-tan²A)/(1+tan²A)}
Then,
1-cos2A = 1-[{(1–tan²A)/(1+tan²A)}]
1-cos2A =(1+tan²A-1+tan²A)/(1+tan²A)
1-cos2A=(2tan²A)/(1+tan²A)
And now.......
1+cos2A=1+[{(1-tan²A)/(1+tan²A)}]
1+cos2A={1+tan²A+1-tan²A}/{1+tan²A}
1+cos2A=2/(1+tan²A)
So now,
(1-cos2A)/(1+cos2A)= {2tan²A/(1+tan²A)}÷{2/(1+tan²A)}
={(2tan²A)(1+tan²A)}÷{2(1+tan²A)}
=tan²A
Step-by-step explanation:
make me as brain liest
-3 = 1 3/5 + m .
what is m
Answer:
m = -4 3/5 or -4.6
Step-by-step explanation:
First, we need to isolate the variable, m. We subtract 1 3/5 on both sides of the equation, and then we should get -4 3/5 = m.
hope this helped !! :D
If the point (6, 9) is on the graph of an even function, what other point must also be on the graph?
Answer:
b/c it's an even function you know that f(x) = f(-x) too so whether you put in a positive X or a negative X you get the same answer so you know.. that (-6,9) is also on the graph of this function
Step-by-step explanation:
Given that the function is even and we know that (6, 9) is on its graph, we know that (-6, 9) must also be on the graph.
Even functions:
A function f(x) is even if:
f(x) = f(-x)
Now, we know that the point (6, 9) is on the graph of our function, this means that:
f(6) = 9
And because our function is even, we must have:
f(6) = f(-6) = 9
Then the point (-6, 9) must also be on the graph of the function.
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HELP ME 10 points I NEED HELP TIMED
A line passes through the points (8,-1) and (-4, 2).
What is the y-intercept of this line?
-4
-1
1
4 ?????!
Answer:
y = (-1/4)x + 1 so that the y-intercept is 1
Step-by-step explanation:
The slope is (-1 - 2)/[8 - (-4)] = -3/12 = -(1/4)
(-1/4) = (y - 2)/(x + 4) => -x - 4 = 4y - 8
-x + 4 = 4y
y = (-1/4)x + 1 so that the y-intercept is 1
Can someone please help me?
Answer:
C
Step-by-step explanation:
4a+10=180
4a=170
a=42.5
42.5*2=85
Answer: C. 85.0 degrees
Step-by-step explanation: First you find a using the equation they gave you. A=42.5. Then you plug it into the measures of the angles. But just by looking at the angles you can tell 2a would be the largest so you just plug a in there and you get your answer!