Priya was busy studying this week and ran 7 fewer miles than last week. She ran 3 times as far as Elena ran this week. Elena only had time to run 4 miles this week. How many miles did Priya run last week?
Answer:Priya ran 19 miles last week
Step-by-step explanation:
4 x 3 = 12
12 + 7 = 19
reduce 205/246 to its lowest term
At M & P’s Deli, two pastrami sandwiches and five sodas cost $12.65, while three pastrami sandwiches and two sodas also cost $12.65. How many dollars would seven pastrami sandwiches and twelve sodas cost?
Answer:
37.95
Step-by-step explanation:
MATH
The cost of seven pastrami sandwiches and twelve sodas is $40.08.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that at M & P’s Deli, two pastrami sandwiches and five sodas cost $12.65, while three pastrami sandwiches and two sodas also cost $12.65.
2P + 5S = 12.65
3P + 2S = 12.65
2P + 5S = 3P + 2S
P = 3S
3 x 3S + 2S = 12.65
6S + 2S = 12.65
8S = 12.65
S = $1.58
P = $3.16
The cost of seven pastrami sandwiches and twelve sodas will be:-
Cost = 7P = 12S
Cost = ( 7 x 3.16 ) + ( 1.58 x 12 )
Cost = $41.08
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{Question 15} Please help! Need this by tonight! Thanks so much
The graph that represents the given table is graph 2
The table is given,
At x = 0
The value of y = -2
The y intercept of the line is -2
The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line
The two points are (0, -2) and (1, -3.5)
The slope of the line m = \((\frac{y_2-y_1}{x_2-x_1} )\)
Substitute the values in the equation
The slope of the line = -3.5 - (-2) / 1 - 0
= -1.5 /1
= -1.5
The slope of the line is negative and the y intercept of the line is negative, the correct graph is graph 2
Hence, the graph that represents the given table is graph 2
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I need help please I need help please I need help please I need help please
Could you retake the photo
Select the true statement.
Answer: D) 54 inches = 1 1/2 yards
explanation: 1 1/2 yards = 54 inches.
Im not understanding please help
wish I could be useful :(
Step-by-step explanation:
Answer:
A: -3x+7>-17
B: x<8
Step-by-step explanation:
I think those are the answers. I would explain it but im not great at teaching things.
Which of these is the correct ratio of strawberries to blueberries for the fruit salad?
A. 8 strawberries: 30 blueberries
B. 8 strawberries: 8 blueberries
C. 4 strawberries: 30 blueberries
D. 32 strawberries: 30 blueberries
The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).
What is the ratio?
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.
The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.
(8 x 4) : 30
32 : 30
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Answer: A. 8 strawberries: 30 blueberries
Step-by-step explanation:
Maureen has a Jump rope that is 62 inches long nancys jump rope is 10 inches longer how long is nancys jump rope?
Answer: 6 feet long
Step-by-step explanation:
1ft. = 12 in
62 inches = 5 feet and 2 inches
Break down 62 into 60 and 2
60 divided by 12 = 5 (12x5=60)
60in. = 5ft.
2in. = 2in.
5ft. and 2in.
10in.= 10in.
Add the inches
10in. + 2 in. = 12 in.
12in.= 1ft.
5ft. + 1ft. = 6ft.
Answer: Nancy’s rope is 6ft. long
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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What is the answer for 1/2(2a+4)
Answer:
a+2
Step-by-step explanation:
Answer:
the answer is 3a
Step-by-step explanation:
first you have to think about pemdas which means you have to do parenthises first so 2a+4=6a and then 6a multiplied by 1/2 wich eqauls 3 and then you add the a and now you have you have your final answer.
factorise x³-4x²+x+6
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
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Divide: 7 5/6 ÷ 2/3 need help
To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.
Step 1: Convert the mixed number to an improper fraction:
7 5/6 = (6 * 7 + 5) / 6 = 47/6
Step 2: Multiply the improper fraction by the reciprocal of the fraction:
47/6 ÷ 2/3 = 47/6 * 3/2
Step 3: Simplify the fraction if possible:
47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12
Step 4: Simplify the fraction further, if necessary:
141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4
Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.
show work if possible
Answer:
B. 14,525
Step-by-step explanation:
If a tablet costs $35 and the school is purchasing tablets for every student, then the total cost to buy tablets for the whole school would be:
$35 x 415 = $14,525
Therefore, the answer is B. $14,525.
PLS ANSWER ASAP CORRECTLY EXPLAIN STEPS WILL MARK BRAINLIEST
Answer:
The average rate of change of the function over the interval –3 ≤ x ≤ 4 is 2.
He i need help with this questions I wanna say it’s d
Answer:
It's A
Step-by-step explanation:
4^2 = 16 times 1/3 equal 16/3
a 90% confidence interval is found to be (72,78). what is the margin of error
The margin of error for the 90% confidence interval is 3.
To find the margin of error for a 90% confidence interval, we can use the formula:
Margin of Error = (Upper Limit - Lower Limit) / 2
Given the confidence interval (72, 78), where 72 is the lower limit and 78 is the upper limit, we can substitute these values into the formula to calculate the margin of error.
Margin of Error = (78 - 72) / 2
Margin of Error = 6 / 2
Margin of Error = 3
Consequently, the 90% confidence interval's margin of error is 3.
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PLEASE HELP ITS MULTIPLE CHOICE i added extra points and i’ll mark BRAINLIEST !!!
Answer:
C
Step-by-step explanation:
A furniture company is introducing a new line of lounge chairs next quarter. These are the cost and revenue functions, where x represents the number of chairs to be manufactured and sold: R(x) = 1,248x – 8.32x2 C(x) = 36,400 – 83.2x
The profit function for a furniture company introducing a new line of lounge chairs is P(x) =\(-8.32x^2 + 1,248x - 36,400\), where x represents the number of chairs to be manufactured and sold.
The problem provides the revenue function and cost function for a furniture company introducing a new line of lounge chairs. To find the profit function, we need to subtract the cost function from the revenue function.
The revenue function R(x) is given as 1,248x - \(8.32x^2\), where x represents the number of chairs manufactured and sold. This function calculates the total revenue obtained by the company by multiplying the number of chairs sold (x) by the price of each chair (1,248 - 8.32x).
The cost function C(x) is given as 36,400 - 83.2x. This function calculates the total cost incurred by the company to manufacture x chairs, which includes both fixed and variable costs.
To find the profit function for the furniture company, we need to subtract the cost function C(x) from the revenue function R(x):
P(x) = R(x) - C(x) = (1,248x - \(8.32x^2\)) - (36,400 - 83.2x)
Simplifying this expression, we get:
P(x) =\(-8.32x^2\) + 1,248x - 36,400
Therefore, the profit function for the furniture company is P(x) = \(-8.32x^2\) \(+ 1,248x - 36,400\).
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Please Help Me With this question.
Answer:
Y=76x
Step-by-step explanation:
if you divide 3 and 228 it is 76. if you divide 5 and 380 it is 76.if you divide 532 and 7 it is 76. and if you divide 11 and 836 it is 76.
Answer:
Step-by-step explanation:
The trick is to get rid of b in y = mx + b. The way to do that is to take 2 values and subtract them
(380 - 228) / (5 - 3) = 152/2 = 76
Not all problems work out this nicely.
The answer is
y = 76x
In this case you can be a little more direct. m = 380 ÷ 5 = 76, but not all equations are this well behaved and doing it the long way is the best way.
Consider the function f(x)=2x−−√−8. If f−1(x) is the inverse function of f(x), find f−1(2)
\(f^(-1)(2) = 6\), which is consistent with our earlier result.
What is inverse function?A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.
Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is \(f^(-1)(2)\)?
Solution:
To find f^(-1)(2), we need to find the value of x such that \(f(x) = 2\) . We can set up an equation:
\(f(x) = \sqrt(2x - 8) = 2\)
Squaring both sides, we get:
\(2x - 8 = 4\)
\(2x = 12\)
\(x = 6\)
Therefore, \(f^(-1)(2) = 6.\)
We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:
\(f(f^(-1)(x)) = x\)
We can substitute x = 2 and solve for f^(-1)(2):
\(f(f^(-1)(2)) = 2\)
\(f^(-1)(2) = (f(6))^(-1)\)
f(6) = √(2(6) - 8) = √4 = 2
Therefore,\(f^(-1)(2) = 6\), which is consistent with our earlier result.
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Which box-and-whisker plot represents this data: 6,9, 13, 13, 18, 20, 24, 25, 26, 28, 30, 30?
Check the pictures for the answer
Diego has 27 ounces of juice he pours equal amounts for his 3 friend and has 6 ounces left
Answer:
3x + 6 =27
Step-by-step explanation:
A. The solution is 7! First I Subtracted 6 from both sides of the equation, Then I Divided both sides of the equation by the same term. Then I got "7" from doing the following.
B. The solution is the x in the answer which is the amount of juice he poured.
"Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself"
simplify it please anyone
Answer:
\(\frac{x(4xx^{2}+3) }{2}\)
Step-by-step explanation:
simplify the expression
remove the double x, it was a mistake
omg it didnt show up
QueSLUIT Consider the universal set U of all the integers from 2 to 20, including both 2 and 20. Let B be the set of multiples of 2, not counting 2 itself. Find Bº. Write your answer in standard set notation, for example {1,2,3,4,5). Do not use the notation B° = in the answer
Step-by-step explanation:
{2,3,5,7,9,11,13,15,17,19}
What does 3 - 11 - (-6) equal?
Answer:
-2
Step-by-step explanation:
3-11+6
-8+6
-2
For a cylinder open at one end with radius r cm and height h cm, find the dimensions giving the minimum surface area, given that the volume is 44 cm3.
The dimensions of the given condition that is height and radius of the given cylinder is height = 3.8264 cm and radius = 1.9132 cm .
Define dimensions in terms of mathematics:
In mathematics, a dimension refers to the number of coordinates or variables needed to specify a point or object in a particular space. The concept of dimension is used to describe the size, shape, and structure of mathematical objects such as vectors, matrices, functions, and geometric shapes.
For example, a point in a two-dimensional space can be described by two coordinates (x,y), while a point in a three-dimensional space requires three coordinates (x,y,z). Similarly, a line in two-dimensional space requires two dimensions to be described, and a plane in three-dimensional space requires three dimensions.
What about cylindrical shape:
A cylindrical shape is a three-dimensional geometric shape that has a circular base at each end and a curved surface connecting the two bases. It is a type of prism, specifically one with a circular cross-section. The shape is named after the word "cylinder," which refers to a solid object with these properties.
The two circular bases of a cylindrical shape are parallel to each other and have the same size and shape. The curved surface that connects the two bases is perpendicular to the bases, and it is a lateral surface that forms a cylinder.
According to the given information:
Recall, that, the total surface area of closed cylinder with radius r and height h cm is
S = \(2\pi r(r+h)\)
And the volume of the cylinder is V = \(\pi r^{2} h\)
But the volume of the cylinder is V = \(44cm^{3}\)
It follow that,
44 =\(\pi r^{2} h\)
\(h =\) \(\frac{44}{\pi ^{2} }\)
Plug h = \(\frac{44}{\pi ^{2} }\)
S = \(2\pi r(r+h)\)
S = \(2\pi r^{2} + \frac{88}{r}\)
It is clear that for max or min to set \(S^{''}\)= 0
Diff. on both side w.r.t
⇒ \(S^{'} (r) = 2\pi (2r) - \frac{88}{r^{2} }\)
For, max or min to set \(S^{'} = 0\)
\(4\pi r - \frac{88}{r^{2} } = 0\)
\(4\pi r^{2} = 88 \\\\r^{3} = \frac{22}{\pi }\)
It follows that,
\(r = (\frac{22}{\pi } )^{1/3}\)
r = 1.9132 cm
By putting the value of r = 1.9132cm
We get h = 3.8264cm
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Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ < 360°.)
= 6i + 2sqrt3j
\(6i~~ + ~~2\sqrt{3}j\implies < \stackrel{a}{6}~~,~~\stackrel{b}{2\sqrt{3}} > \\\\[-0.35em] ~\dotfill\\\\ \stackrel{magnitude}{\sqrt{a^2+b^2}}\implies \sqrt{6^2+(2\sqrt{3})^2}\implies \sqrt{36+(2^2\cdot 3)}\implies \sqrt{36+12}\implies \sqrt{48} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{direction}{tan^{-1}\left( \cfrac{b}{a}\right)}\implies tan^{-1}\left( \cfrac{2\sqrt{3}}{6} \right)\implies tan^{-1}\left( \cfrac{\sqrt{3}}{3} \right) \\\\\\ tan^{-1}\left( \cfrac{1}{\sqrt{3}} \right)\implies 30^o\)
Steve made 50$ raking leaves 75$ mowing lawns. He gave 60% of his earnings to his mother. How much did Steve give to his mother?
The perimeter and area of a rectangle are 22 cm
and 30 cm² respectively. Find the length and
breadth of the rectangle
The perimeter and area of a rectangle are (5,6) and (6,5).
The perimeter method for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width. when you are given the size of a square form, you may simply plug within the values of L and W into the formula that allows you to clear up for the fringe.
A perimeter is a closed course that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional period. The perimeter of a circle or an ellipse is known as its circumference. Calculating the perimeter has several practical programs.
The perimeter P of a rectangle is given by means of the method, P=2l+2w, in which l is the period and w is the width of the rectangle. The place A of a rectangle is given with the aid of the components, A=lw, wherein l is the length and w is the width.
The perimeter of the rectangle:
P=2l+2w=22
divide 2 into both sides
l+w=11 -------------> (1)
w=11-l
Area of the rectangle:
l*w=30
l(11-l)=30
11l-l^2-30=0
l^2-11l+30=0
By factor method,
(l-5)(l-6)=0
l=5,6.
Substitute this value in w,
l=5 implies w=6
l=6 implies w=5
There we have two solutions.
The length and breadth of the rectangle is
(5,6) and (6,5).
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