55.96 more euros Sandy have if she made her trade on the day with the most favorable exchange rate than if she made her trade on the day with the least favorable exchange rate. Thus, option B is correct.
What is the exchange rate?The number of units of a foreign currency that can be purchased with one unit of the domestic currency, or the opposite, is referred to as the exchange rate between two currencies.
Here, we have
Given: The exchange rate between non-fixed currencies continuously fluctuates. Sandy has $829.04 to convert into euros.
We have to find how many more euros would Sandy have if she made her trade on the day with the most favorable exchange rate than if she made her trade on the day with the least favorable exchange rate.
To get a favorable exchange rate we should do:
USD × Exchange Rate
a) 829.04 × 0.7544 ⇒ Most favorable exchange rate (Tuesday)
= 625.42
b) 829.04 × 0.6869 × 0.94 ⇒ Least favorable exchange rate (Friday)
= 569.46
Difference of most favourable day and Least favorable day
= 625.42 - 569.46
= 55.96
Hence, 55.96 more euros Sandy have if she made her trade on the day with the most favorable exchange rate than if she made her trade on the day with the least favorable exchange rate. Thus, option B is correct.
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2W = P solve for w divide both sides by 2
Answers these please
Carolyn sells homemade candles. Write an expression for her total revenue if she sells x candles for $5 each
Answer:
I think it would be X x 5 = Y
Step-by-step explanation:
The required expression for total revenue is 5x.
What is amount?Amount is the multiplication of total number of quantities and total price.
Amount= number of quantity×price
Given that,
Total number of candles Carolyn sell = x,
Price of one candle = $5.
To find total revenue,
Total amount = price of one candle × total number of candles
Total amount = 5x
The required expression is 5x.
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consider a normal population with u= 75 and o= 10. a sample of at least which size needs to be obtained in order to achieve a standard error or om= 2.00 or less.
n = 25
=====================================================
Explanation:
The standard error formula for the mean is
\(\sigma_{M} = \frac{\sigma}{\sqrt{n}}\\\\\)
Since we want this 2.00 or less, this means,
\(\sigma_{M} \le 2.00\\\\\frac{10}{\sqrt{n}} \le 2.00\\\\10 \le 2.00\sqrt{n}\\\\2.00\sqrt{n} \ge 10\\\\\sqrt{n} \ge \frac{10}{2.00}\\\\\sqrt{n} \ge 5\\\\n \ge 5^2\\\\n \ge 25\\\\\)
The sample size needs to be n = 25 or larger.
In other words, the sample size needs to be at least 25.
Suppose you are flying a kite at the park on a windy day. You notice that the height of the kite, h, is
affected by the speed of the wind, w. You decide to measure the height of the kite at different wind
speeds to determine the relationship between the two variables. After some experimentation, you
measure the height of the kite at three different wind speeds: 10 mph, 15 mph, and 20 mph. You
measure the height of the kite to be 50 feet at 10 mph, 75 feet at 15 mph, and 100 feet at 20 mph.
Determine the equations that relate the height of the kite to the speed of the wind.
The equation that relates the height of the kite to the speed of the wind is: h = 5w.
What is slope?
In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.
To determine the relationship between the height of the kite and the speed of the wind, we can use linear regression to fit a line to the data points we have measured. The line will take the form y = mx + b, where y is the height of the kite, x is the speed of the wind, m is the slope of the line, and b is the y-intercept.
Using the three data points we have, we can calculate the slope of the line as follows:
m = (y2 - y1) / (x2 - x1)
= (75 - 50) / (15 - 10)
= 25/5
= 5
Therefore, the equation for the line is y = 5x + b. To find the value of b, we can use one of the data points.
For example, using the point (10, 50):
50 = 5(10) + b
b = 0
So the equation that relates the height of the kite to the speed of the wind is:
h = 5w
where h is the height of the kite in feet, and w is the speed of the wind in mph.
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A wheelchair ramp with a length of 109 inches has a horizontal distance of 91 inches. What is the ramp's vertical distance?
Answer:
the ramp's vertical distance is 60
Step-by-step explanation:
Think about what a ramp looks like from the side (right triangle). Use the Pythagorean Theorem.
\(H2 = a2 + b2\)
The wheelchair ramp (hypotenuse) is given to be 109, if one of the sides is 91, simply plug in the numbers and solve for the other side.
\((109)^{2} = (91)^{2} + b^2\)
\(11881 = 8281 + b^2\)
\(3600 = b^2\)
\(\sqrt{3600} = b\)
\(60 = b\)
Hope this helps!
how much is 2x4x6x8=?
Answer:
384
Step-by-step explanation:
Answer:
your answer will be 384
Step-by-step explanation:
2x4x6x8=384
someone please answer this its confusing me
In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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In each of the following graphs, find the lengths of the line segments shown. Write your answers (in simplest
radical form if they are not integers.
(a)
B
(b)
Q
The length of the two segments, written as radicals, are:
AB = √117
PQ = √244
How to find the length of the segments shown?Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:
L = √( (x₂ - x₁)² + (y₂ - y₁)²)
First, for the segment AB the endpoints are:
A = (-4, -4)
B = (2, 5)
Then the length is:
L = √( (-4 - 2)² + (-4 - 5)²)
L = √117
For the segment PQ the endpoints are:
P = (-6, 8)
Q = (6, -2)
The length is:
L = √( (-6 - 6)² + (8 + 2)²)
L = √244
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You want to buy some rice. A 7-ounce package costs $2.59. A 16-ounce package costs $5.60. A 24-ounce package costs$9.36. Which package is the best buy?
Answer:
Thanks
Step-by-step explanation:
Thanks
Find the slope of the line passing through the points (-4,6) and (3,6)
Slope:
Find the slope of the line passing through the points (-5,8) and (-5,-6)
Slope:
Required answer:
0Not DefinedDetailed explanation:
To find the slope of the line, given that it passes through two points, use the formula:
\(\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
Where:
m = slopePlug in the data:
\(\bf{m=\dfrac{6-6}{3-(-4)}=\dfrac{0}{3+4}=\dfrac{0}{7}=\boxed{\bf{0}}\)
- - - - - - - - - - - - - - - - - - - - - -
Given the pair of points: (-5,8) and (-5,-6), plug them into the slope formula:
\(\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
Evaluate:
\(\bf{m=\dfrac{-6-8}{-5(-5)}=\dfrac{-14}{-5+5}=\dfrac{-14}{0}=\boxed{\bf{Not\:De fined}}\)
- - - - - - - - - - - - - - - - - - - - - - -
What is the value of g-1(7)
Answer:
g-7
Step-by-step explanation:
Multiply the numbers
g-(1*7)
g-7
Answer:
5
Step-by-step explanation:
We know that g is an invertible function and so it must also be a one-to-one function.
This means that each input is paired with exactly one output and that each output is paired with exactly one input.
We know that g(a)=7g and g(5)=7. If the output of 7 is to be paired with exactly one input, then a must be equal to 5.
First correct answer gets brainliest
Given a line with slope = -4 and y-int= (0, 5), write the equation of the line.
Writing the equation algebraically.
Answer:
\(y=-4x+5\)
Step-by-step explanation:
The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).
Crude oil imports to one country from another for 2009–2013 could be approximated by the following model where t is time in years since the start of 2000. I(t) = −33t2 + 800t − 3,000 thousand barrels per day (9 ≤ t ≤ 13) According to the model, approximately when were oil imports to the country greatest?
Answer:
Import in 2012 was the greatest
Step-by-step explanation:
Given
l(t) = -33t² + 800t - 3000
9 ≤ t ≤ 13
Required
Determine the year with highest import.
To do this we simply substitute the values of t from 9 to 13 in the given function.
When t = 9
l(t) = -33t² + 800t - 3000
l(9) = -33 * 9² + 800 * 9 - 3000
l(9) = -33 * 81 + 800 * 9 - 3000
l(9) = -2673 + 7200 -3000
l(9) = 1527
When t = 10
l(10) = -33 * 10² + 800 * 10 - 3000
l(10) = -33 * 100 + 800 * 10 - 3000
l(10) = -3300 + 8000 - 3000
l(10) = 1700
When t = 11
l(11) = -33 * 11² + 800 * 11 - 3000
l(11) = -33 * 121 + 800 * 11 - 3000
l(11) = -3993 + 8800 - 3000
l(11) = 1807
When t = 12
l(12) = -33 * 12² + 800 * 12 - 3000
l(12) = -33 * 144 + 800 * 12 - 3000
l(12) = -4752 + 9600 - 3000
l(12) = 1848
When t = 13
l(13) = -33 * 13² + 800 * 13 - 3000
l(13) = -33 * 169 + 800 * 13 - 3000
l(13) = -5577 + 10400 - 3000
l(13) = 1823
Comparing the values of l(t) for the range of t = 9 to 13,
The highest value of l(t) is:
l(12) = 1848
Hence, the year with the highest import is 2012
The oil imports to the country are greatest during the year 2012
Given the model where t is time in years since the start of 2000 expressed as I(t) = −33t² + 800t − 3,000
The oil imports more oil during the year 2012, is t = 12
I(12) = −33(12)² + 800(12) − 3,000
I(12) = -33(144) + 9600 - 3000
I(12) = -4752 + 6600
I(12) = 1848
Hence the oil imports to the country are greatest during the year 2012
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Avery's recipe ask for 100ml of milk. She only has a 10ml measuring cup. How many times will she need to fill her measuring cup to get the right amount of milk for her recipe
Ten times to get the required amount of 100ml of milk for her recipe.
Avery needs to measure 100ml of milk for her recipe but she only has a 10ml measuring cup.
Therefore, she needs to determine how many times she will need to fill her 10ml measuring cup to get the required amount of milk.
To calculate this, we can divide the required amount of milk by the capacity of the measuring cup. In this case, we divide 100ml by 10ml to get:
100ml ÷ 10ml = 10
This means that A very will need to fill her 10ml measuring cup 10 times to get the required amount of milk for her recipe.
Another way to think about it is to consider that 100ml is ten times the capacity of the 10ml measuring cup. Therefore, Avery will need to fill the measuring cup ten times to get the required amount of milk.
In summary, Avery will need to fill her 10ml measuring cup ten times to get the required amount of 100ml of milk for her recipe. t
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why is 3/4 and 9/12 equivalent
Answer:
It is because 3/4 is 75% and so is 9/12. If you divide 3/4, it will equal to 75%
Step-by-step explanation:
Answer:So we know that 3/4 is equivalent to 9/12, because 3×12=36 and 4×9=36. A simple way to look at how to check for equivalent fractions is to do what is called “cross-multiply”, which means multiple the numerator of one fraction by the denominator of the other fraction.
Step-by-step explanation:
Given a mean of 34 and a standard deviation of 5. Find the following z-scores.
The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.
To find the z-scores, we need to use the formula:
z = (x - μ) / σ
where:
z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.
Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:
z = (39 - 34) / 5
z = 5 / 5
z = 1
So, the z-score for the raw score of 39 is 1.For a raw score of 30:
z = (30 - 34) / 5
z = -4 / 5
z = -0.8
The z-score for the raw score of 30 is -0.8.
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PQ has a slope of 13. What is the slope of a line perpendicular to PQ?
−1/3
3
1/3
−3
Answer:
-3
Step-by-step explanation:
PQ has a slope of 1/3
Perpendicular lines have negative reciprocal slopes
- ( 1 ÷ 1/3)
- ( 3/1)
-3
The slope of a line that is perpendicular is -3
What is the value of this expression please give example? (5.4)×(3.9)
Answer:
21.06
Step-by-step explanation:
Answer:
21.06
Step-by-step explanation:
You gotta put the big number on top and the smallest on the bottom.Than all you gotta do is times the number on the right first than the left.Then you'll have your answer of 21.06Which of the following statements is (are) correct?
I. At 6% interest, the present value of $400 for the first year, $600 for the second year, and $800 for the third year is $1,603.
II. The future value of the following mixed cash flow stream (if it is from an annuity due at 6% interest) $400 for the first year, $600 for the second year, and $800 for the third year is $1,999 (rounded).
Answer:
None OF THE STATEMENTS ARE CORRECT
Step-by-step explanation:
Present value is the sum of discounted cash flows
Present value can be calculated using a financial calculator
Cash flow in year 1 = $400
Cash flow in year 2 = $600
Cash flow in year 3 = $800
I = 6%
PV = 1,583.05
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
1583.05 x (1.06)^3 = $1885.44
None of the statements are correct based on the above calculations
To find the PV using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute
the base of a 50-foot ladder is being pulled away from a wall at a rate of 8 feet per second. how fast is the top of the ladder sliding down the wall at the instant when the base of the ladder is 30 feet from the wall?
The base of the ladder is 30 feet from the wall, the top of the ladder is sliding down the wall at a rate of 6 feet per second.
To determine how fast the top of the ladder is sliding down the wall when the base is 30 feet from the wall, we can use the Pythagorean theorem and implicit differentiation.
Step 1: Set up the Pythagorean theorem for the ladder, wall, and ground.
Let x be the distance between the base of the ladder and the wall, and let y be the height of the top of the ladder above the ground. Since the ladder has a length of 50 feet, we have:
\(x^2 + y^2 = 50^2\)
Step 2: Differentiate both sides of the equation with respect to time (t).
Using implicit differentiation, we get:
2x(dx/dt) + 2y(dy/dt) = 0
Step 3: Plug in the given values and solve for dy/dt.
We are given that dx/dt = 8 ft/s (the base is being pulled away from the wall) and x = 30 ft. To find y, plug x = 30 into the Pythagorean theorem equation:
\(30^2 + y^2 = 50^2
y^2 = 50^2 - 30^2\)
y = √(2500 - 900) = √1600 = 40
Now plug in the values of x, y, and dx/dt into the differentiated equation:
2(30)(8) + 2(40)(dy/dt) = 0
Step 4: Solve for dy/dt.
480 + 80(dy/dt) = 0
80(dy/dt) = -480
dy/dt = -480 / 80 = -6
So, when the base of the ladder is 30 feet from the wall, the top of the ladder is sliding down the wall at a rate of 6 feet per second.
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Examine the function f(x,y) = x^3 - 6xy + y^3 + 7 for relative extrema and saddle points.
Answer:
The points are "(2,2)".
Step-by-step explanation:
Given value:
\(f(x,y)=x^3-6xy+y^3+7\)
Finding the first partial derivation which is equal to 0.
\(\to f_x(x,y)=3x^2-6y...............(a)\\\\ \to f_y(x,y)=-6x+3y^2...................(b)\)
solve both the above equation by equal to 0.
For equation (a)
\(\to 3x^2-6y=0\\\\\to 3x^2=6y\\\\\to x^2=2y\\\\\to y=\frac{x^2}{2}\\\\\)
For equation (b)
\(\to -6x+3y^2 =0 \\\\\to 3y^2 =6x\\\\\text{put the value of y in equation b}\\\\\to 3(\frac{x^2}{2})^2 -6x=0\\\\\to \frac{3}{4} x^4 -6x=0\\\\\)
by solving the above value in the form of x we get:
\(\to x=0\\ \to x=2\\ \to x= -1 +\sqrt{3} i\\ \to x= -1 -\sqrt{3} i\\\)
by solving the above value in the form of y we get:
\(\to y=0\\ \to y=2\\ \to y= -1 +\sqrt{3} i\\ \to y= -1 -\sqrt{3} i\\\)
Solve the value by applying the second derivation method:
\(\to f_{xx}(x,y)=6x...............(a1)\\\\ \to f_{yy}(x,y)=6y...................(b2)\\\\\to f_{xy}(x,y)=-6...................(c2)\)
calculating the value of discriminate:
\(d=f_{xx}(x,y) f_{yy}(x,y)-[f_{xy}(x,y)]^2\)
The critical point of the given equation will be (2,2)
\(d=f_{xx}(2,2) f_{yy}(2,2)-[f_{xy}(2,2)]^2\\\\\)
\(= (6 \times 2) (6 \times 2) -[(-6)^2]\\\\= (12) (12) -[36]\\\\= 144 -36\\\\= 108\\\\\)
Answer:
\((2,2)\) is a minimum point of the function \(f(x,y).\)
Step-by-step explanation:
\(f(x,y)=x^3-6xy+y^3+7\)
Find the partial differentiation w.r.t. \(x\) and \(y\).
\(\frac {\partial f}{\partial x}=3x^2-6y\)
\(\frac {\partial f}{\partial y}=-6x+3y^2\)
\(\frac {\partial^2 f}{\partial x^2}=6x\)
\(\frac {\partial^2 f}{\partial y^2}=6y\)
\(\frac{\partial f}{\partial xy}=-6\)
Find the critical points.
\(\frac {\partial f}{\partial x}=\frac {\partial f}{\partial y}=0\)
\(\Rightarrow 3x^2-6y=0 \;\text{and}\; -6x+3y^2=0\)
\(\Rightarrow 6y=3x^2\Rightarrow y=\frac{x^2}2\)
\(\Rightarrow -6x+\frac 34 x^4=0\Rightarrow \frac {x^3}4=2\)
\(\Rightarrow x^3=8\Rightarrow x=2,y=2\)
Therefore, \((2,2)\) is a critical point.
Now, \(\frac {\partial^2 f}{\partial x^2}\frac {\partial^2 f}{\partial y^2}-{\frac {\partial f}{\partial xy}}^2\)
\(=6x6y-36=36xy-36>0 \;\text{at critical point }\; (2,2)\)
Thus, \((2,2)\) is not a saddle point.
\(\because \frac{\partial^2 f}{\partial x^2}>0 \; \text{and}\; \frac {\partial^2 f}{\partial x^2}\frac {\partial^2 f}{\partial y^2}-{\frac {\partial f}{\partial xy}}^2>0 \;\text{at point}\; (2,2)\)
Hence, \((2,2)\) is a local minimum of a given function.
sara collects 56 leaves for her science project. she collects the same number of each of 7 different types of leaves
Answer: 8 leaves per type of leaf
Step-by-step explanation:
56/7 = 8 leaves per type of leaf.
Answer:
8
Step-by-step explanation:
56/7 = 8
Victoria bought a box of raisins and gave of the raisins to her younger brother.
About what percent of the raisins did she keep for herself?
F 30%
G 33%
H 66%
J 70%
The percent of the raisins that Victoria she keep for herself is 70%
How to calculate the percentageBased on the information, a percentage simply has to do with the a value or ratio which can be stated as a fraction of 100.
Since Victoria bought a box of raisins and gave 3/10 of the raisins to her younger brother. The percent of the raisins she keep for herself will be:
= (1 - 3/10) × 100
= 70%
Therefore, the percent of the raisins that Victoria she keep for herself is J 70%
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Victoria bought a box of raisins and gave 3/10 of the raisins to her younger brother.
About what percent of the raisins did she keep for herself?
F 30%
G 33%
H 66%
J 70%
Please help.
Thank you in advance.
Answer:
its the last box and whisker plot
Step-by-step explanation:
find the approximate area of the shaded region, given that the area of the sector is approximately 13.08 square units.
The area of the shaded region is 3915 units².
We have,
Area of the sector.
= 13.08 units²
Now,
To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.
Area = √[s(s - a)(s - b)(s - c)]
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case,
The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:
Calculate the semi-perimeter:
s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units
Use Heron's formula to find the area:
Area = √[7(7 - 5)(7 - 5)(7 - 4)]
= √[7(2)(2)(3)]
= √[84]
≈ 9.165 units (rounded to three decimal places)
Now,
Area of the shaded region.
= Area of the sector - Area of the isosceles triangle
= 13.08 - 9.165
= 3.915 units²
Thus,
The area of the shaded region is 3915 units².
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Jeff is making cookies for his school. He needs 150 cookies. One recipe makes 60 cookies and uses 1.5 cups of butter. How many tablespoons of butter will be needed to make 150 cookies? (1 cup = 16 Tbsp.) Show how to use unit fractions to solve this problem.
Answer
Since one recipe makes 60 cookies, we can write the unit fraction LaTeX: \frac{1\text{ recipe}}{60\text{ cookies}}1 recipe 60 cookies. Since one recipe uses 1.5 cups of butter, we can write the unit fraction LaTeX: \frac{1.5\text{ cups butter}}{1\text{ recipe}}1.5 cups butter 1 recipe. And since 1 cup = 16 Tbsp., we can write the unit fraction LaTeX: \frac{16\text{ Tbsp}}{1\text{ cup}}16 Tbsp 1 cup.
Multiply:
LaTeX: \frac{150\text{ cookies}}{1} \cdot \frac{1\text{ recipe}}{60\text{ cookies}} \cdot \frac{1.5\text{ cups butter}}{1\text{ recipe}} \cdot \frac{16\text{ Tbsp}}{1\text{ cup}}150 cookies 1 ⋅ 1 recipe 60 cookies ⋅ 1.5 cups butter 1 recipe ⋅ 16 Tbsp 1 cup
= LaTeX: \frac{150(1)(1.5)(16)}{1(60)(1)(1)} 150 ( 1 ) ( 1.5 ) ( 16 ) 1 ( 60 ) ( 1 ) ( 1 )
= 60 Tbsp. butter
To make 150 cookies 60 tablespoons of butter is needed.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
From the given information we can solve this problem by using the proportional method.
Assuming 'x' cups of butter is needed to make 150 cookies.
Therefore,
60 : 1.5 : : 150 : x.
60/1.5 = 150/x.
60x = 225.
x = 225/60.
x = 3.75 cups.
Also given that 1 cup is equal to 16 tablespoons.
Therefore, 3.75 cups is equal to (3.75×16) tablespoons.
= 60 tablespoons.
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On the teacher’s desk there were 5 boxes of pencils, j pencils in each. How many pencils were there on the desk?
Answer:
5j
Step-by-step explanation:
Multiply the number of boxes time the pencils in each box
5j
Question 5(Multiple Choice Worth 5 points)
(07.04 LC)What is the solution to the equation 1/4x=5?
9514 1404 393
Answer:
x = 20
Step-by-step explanation:
Multiply both sides of the equation by 4 to make the coefficient of x be 1. This will show you the solution.
4(1/4)x = 4(5)
x = 20