An onion soup recipe calls for 3 2/3 cups of chopped onions Katrina has already chopped 1 1/3 cups of onions she wants to know how many more cups she needs to chop what X be the number of cups of onions Katrina still needs to chop write an equation to describe the situation
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To determine the number of cups she still needs to chop we need to subtract the amount she already chopped to the amount she needs, then we have the equation:
[tex]x=3\frac{2}{3}-1\frac{1}{3}[/tex]This can be written as:
[tex]x+1\frac{1}{3}=3\frac{2}{3}[/tex]Now, we solve it:
[tex]\begin{gathered} x=3\frac{2}{3}-1\frac{1}{3} \\ x=\frac{11}{3}-\frac{4}{3} \\ x=\frac{7}{3} \end{gathered}[/tex]Therefore she needs to chop 7/3 more cups of onions.
Related Questions
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
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find the correct area
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The figure consist of trapezium and rectangle.
Determine the area of figure.
[tex]\begin{gathered} A=\frac{13+24}{2}\cdot4+24\cdot7 \\ =37\cdot2+168 \\ =74+168 \\ =242 \end{gathered}[/tex]Thus area of the figure is 242 inch square.
What numeric value of b would make the following two expressions equivalent? bx +2.4 and 6(2x+0.4) + 3x
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For the two expressions to be equivalent, then we would have;
[tex]bx+2.4=6(2x+0.4)+3x[/tex]We solve the right hand side and we'll now have;
[tex]\begin{gathered} bx+2.4=12x+2.4+3x \\ bx+2.4=15x+2.4 \\ \text{Collect all like terms and you'll have} \\ 2.4-2.4=15x-bx \\ 0=15x-bx \\ Add\text{ bx to both sides of the equation} \\ 0+bx=15x-bx+bx \\ bx=15x \\ \text{Divide both sides by x} \\ \frac{bx}{x}=\frac{15x}{x} \\ b=15 \end{gathered}[/tex]The first option is the correct one.
b = 15
how would you write this as an expression.
The quotient of 29 and the product of a number and −5.
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ANSWER
[tex]\frac{29}{-5x}[/tex]EXPLANATION
Let 'x' be a number. The product of a number and -5 is: -5x
Then the quotient of 29 and something is: 29/something
Now, that something is the product -5x so, the quotient of 29 and the product of a number and -5 is:
[tex]\frac{29}{-5x}[/tex]The plastic lid of a cylindrical container is a circle. The lid has a radius of 9centimeters. What is the circumference of the lid?
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We are asked to determine the circumference of a 9 cm radius circle. To do that we will use the following formula:
[tex]S=2\pi r[/tex]Where:
[tex]\begin{gathered} S=\text{ circumference} \\ r=\text{ radius} \end{gathered}[/tex]Now, we substitute the value of the radius:
[tex]S=2\pi(9cm)[/tex]Solving the operations:
[tex]S=18\pi=56.55cm[/tex]Therefore, the circumference is 56.55 cm.
a cake is in the room, 5he first person takes 1/3 and then the second person takes 1/3 of what is left and so on, c(n) represents the amount of cake left each time find out how much cake there is after 5 people
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Let the full cake represent,
[tex]c(1)=1[/tex]Therfore, the given problem is in the form of an arithmetic sequence,
[tex]1,\frac{2}{3},\ldots.[/tex]Here, n=5, d=-1/3, c(1)=1
[tex]c(5)=c(1)+(5-1)\times-\frac{1}{3}[/tex]Therefore,
[tex]\begin{gathered} c(5)=1-\frac{4}{3} \\ =-\frac{1}{3} \end{gathered}[/tex]So, the remaining amount of cake is -1/3.
Topic 4,: Graphing Proportional relationships.Note: A way to determine whether two quantities are proportional is to graph themon a coordinate plane. If the graph is a straight line through the origin, then the twoquanti1lies are proportional.Ex 4. Determine whether the number of calories burned is proportional to thenumber of minutes played
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Given
Table:
Time: 0, 1, 2, 3, 4
Calories: 0, 7, 14, 21, 28
Procedure
Let's plot the points shown
We can see that the points fall on a straight line. Therefore time and calories are two proportional quantities.
apple trees need to be planted in an orchard this process takes two hours per tree
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the fact that we can not plant the half of tree imples that there is no line between the points of the graph. So the answer is letter B
Use the fermi process to estimate the number of bricks needed to fill an empty bathtub assume a typical brick has the length of 4 inches a width of 2 inches and a height of 8 inches a typical bathtub has a length of 60 inches a height of 30 inches and a width of 18 inches
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Solution
A brick has the dimension 4in by 2in by 8 in
The bathtub has dimension 60in by 30in by 18in
[tex]\begin{gathered} Volume\text{ of a brick = 4in x 2in x 8in = 64in}^3 \\ Volume\text{ of the bathtub = 60in x 30in x 18in = 32400in}^3 \end{gathered}[/tex]Number of bricks needed to fill an empty bathtub =
[tex]\begin{gathered} \frac{32400in^3}{64in^3}=506.25\text{ bricks} \\ =506\text{ bricks \lparen to nearest whole number\rparen} \end{gathered}[/tex]To
NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 9z
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Answer:
(-3, 2)(1, 0)=====================
Given systemy² = 1 - x x + 2y = 1Rearrange the first equationx = 1 - y² Substitute the value of x into second equation1 - y² + 2y = 1y² - 2y = 0y(y - 2) = 0y = 0 and y = 2Find the value of xy = 0 ⇒ x = 1 - 0² = 1y = 2 ⇒ x = 1 - 2² = -3Answer:
[tex](x,y)=\left(\; \boxed{-3,2} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]
[tex](x,y)=\left(\; \boxed{1,0} \; \right)\quad \textsf{(larger $x$-value)}[/tex]
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}\;\;\;\;\;\;\;y^2=1-x\\x+2y=1\end{cases}[/tex]
To solve by the method of substitution, rearrange the second equation to make x the subject:
[tex]\implies x=1-2y[/tex]
Substitute the found expression for x into the first equation and rearrange so that the equation equals zero:
[tex]\begin{aligned}x=1-2y \implies y^2&=1-(1-2y)\\y^2&=1-1+2y\\y^2&=2y\\y^2-2y&=0\end{aligned}[/tex]
Factor the equation:
[tex]\begin{aligned}\implies y^2-2y&=0\\y(y-2)&=0\end{aligned}[/tex]
Apply the zero-product property and solve for y:
[tex]\implies y=0[/tex]
[tex]\implies y-2=0 \implies y=2[/tex]
Substitute the found values of y into the second equation and solve for x:
[tex]\begin{aligned}y=0 \implies x+2(0)&=1\\x&=1\end{aligned}[/tex]
[tex]\begin{aligned}y=2 \implies x+2(2)&=1\\x+4&=1\\x&=-3\end{aligned}[/tex]
Therefore, the solutions are:
[tex](x,y)=\left(\; \boxed{-3,2} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]
[tex](x,y)=\left(\; \boxed{1,0} \; \right)\quad \textsf{(larger $x$-value)}[/tex]
Help Curtis round 37,254,503 to the nearest hundred thousand for his report.
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the answer is:
37, 300, 000
Answer:
37,300,500
Step-by-step explanation:
how would you graph a figure that is translated by (x-4, y+2
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Someone please help me with this problem in the most simple easy way possible no long explanation needed.
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ANSWER:
2797.74 cubic inches
EXPLANATION:
Given:
Height of the cylinder(h) = 11 inches
Radius of the cylinder(r) = 9 inches
Pi = 3.14
To find:
The volume(V) of the cylinder
We'll go ahead and determine the volume(V) of the cylinder using the below formula;
[tex]\begin{gathered} V=\pi r^2h \\ =3.14*9^2*11 \\ =31.4*81*11 \\ =2797.74\text{ cubic inches} \end{gathered}[/tex]So the volume of the cylinder is 2797.74 cubic inches
2x - 1 if x < 0Evaluate g (4) for g(x)for g(x) = x²W√xif 0 ≤ x ≤ 5.if x > 5
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Solution
Question A:
[tex]\begin{gathered} \text{ To find the rate we compare with the equation below:} \\ A=P(1+r)^t \\ \\ \text{ Thus, } \\ 1+r=0.9 \\ \text{ Subtract 1 from both sides} \\ r=0.9-1 \\ r=-0.1 \end{gathered}[/tex]- Rate of depreciation is 10%
Question B:
[tex]\begin{gathered} v=34000(0.9)^t \\ \text{ when } \\ v=\frac{34000}{2}=17000 \\ \\ 17000=34000(0.9)^t \\ \text{ Divide both sides by 34000} \\ 0.5=(0.9)^t \\ \text{ Take the natural log of both sides} \\ \ln0.5=t\ln0.9 \\ \\ \therefore t=\frac{\ln0.5}{\ln0.9} \\ \\ t=6.578813...\approx6.58years \end{gathered}[/tex]- The number of years is 6.58years
I need help with this please and thank you im just really confused
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To find the values of x and z, apply the opposite angles theorem.
Opposite angles are angles that can be said to be non-adjacent angles formed by two intersecting lines.
Opposite angles are congruent.
• Measure of angle Z:
∠z and 110 are opposite angles.
Thus, we have:
m∠z = 110°
• Value of x:
Given that total measure of angles = 360
We have:
[tex](5x-20)=\frac{360-110-110}{2}[/tex]Let's solve for x:
[tex]\begin{gathered} 5x-20=\frac{140}{2} \\ \\ 5x-20=70 \\ \\ \text{Add 20 to both sides:} \\ 5x-20+20=70+20 \\ \\ 5x=90 \end{gathered}[/tex]Divide both sides by 5:
[tex]\begin{gathered} \frac{5x}{5}=\frac{90}{5} \\ \\ x=18 \end{gathered}[/tex]ANSWER:
x = 18
z = 110°
The equation y = 5x represents a proportional relationship. What is the constant of proportionality?A. xB. 1/5C. 0D. 5
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ANSWER
D. 5
EXPLANATION
We have to find the constant of proportionality in the equation:
[tex]y=5x[/tex]The general form of a proportional relationship is:
[tex]y=kx[/tex]where k = constant of proportionality
Therefore, comparing the given equation with the general equation, the constant of proportionality is 5.
What number makes the equation true? Enter the answer in the box.+5= 9
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The complete information for the question was not provided by the student, however we can assume that the box is either to the left or to the right of the equal sign:
If it's to the left, we have:
Box + 5 = 9
Box = 9 - 5
Box = 4
If it's to the right, we have:
5 = 9 - Box
5 - 9 = - Box
-4 = - Box
4 = Box
Answer: No matter if the box is to the left or to the right of the equal sign, the number in the box that makes the equation true is 4
Robert moved 4 cards that are worth -10 points each. How did thier score change.
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We have the following:
Since there are 4 cards and each one has a value of -10 points, we have
[tex]4\cdot-10=-40[/tex]Which means that the score changed by -40 points
The population of a city was 136 thousand in 1992. The exponential growth rate was 1.7% per year.a) Find the exponential growth function in terms of t, where t is the number of years since 1992.P(t) = 136,000 e 0.0177
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We will have that the expression will be:
[tex]p(t)=136000(1+0.017)^t[/tex]Your lacrosse team wins 4 of the games that it plays. Describe huikelihood of winning.
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the statement say us the rate of winning is 3/4 then the probability is the same
but performance it on decimals
[tex]\frac{3}{4}=0.75[/tex]probability is 0.75
Grayson needs to order some new supplies for the restaurant where he works. The restaurant needs at least 261 forks. There are currently 205 forks. If each set on sale contains 10 forks, which inequality can be used to determine the minimum number of sets of forks Grayson should buy?
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ANSWER
[tex]10x\ge56[/tex]EXPLANATION
We have that the restaurant needs at least 261 forks.
There are currently 205 forks.
First, we have to find the number of forks that the restaurant currently needs.
We do that by finding the difference between the number of forks they have from the number of forks they need:
261 - 205 = 56 forks
They need at least 56 forks.
We have that each set of forks on sale has 10 forks each.
Let the number of sets they need be x.
This means that the amount of forks they should buy must be greater than or equal to 56. That is:
[tex]\begin{gathered} x\cdot10\ge56 \\ \Rightarrow10x\ge56 \end{gathered}[/tex]That is the inequality that can be used to determine the minimum number of sets of forks Grayson should buy.
At the grocery store, halibut costs $20 per pound and salmon costs $17 per pound. Which of the following situations can be modeled by the equation below? 20(x-5) = 17xA) The cost of x pounds of salmon is $5 less than the cost of x pounds of halibutt B) The cost of x pounds of halibut is $5 less than the cost of x pounds of salmon C) The cost of pounds of salmon is the same as the cost of x-5 pounds of halibutD) The cost of x pounds of halibut is the same as the cost of x-5 pounds of salmon.
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Answer: C.
The cost of x pounds of salmon is the same as the cost of x-5 pounds of halibut
[tex]\begin{gathered} \text{halibut }\rightarrow\text{ \$20 and (x-5) pounds} \\ \text{salmon }\rightarrow\text{ \$17 and x pounds} \end{gathered}[/tex]Explanation:
Given the model;
[tex]20(x-5)=17x[/tex]where x is the number of pounds.
The cost per pound of Halibut is;
[tex]\text{ \$20}[/tex]So, the corresponding number of pounds of Halibut on the model is;
[tex]x-5[/tex]Also, the cost per pound of Salman is;
[tex]\text{ \$17}[/tex]the corresponding number of pounds of Salmon on the model is;
[tex]x[/tex]Since they are equal to each other, then the cost of x pounds of salmon is the same as the cost of x-5 pounds of halibut
[tex]\begin{gathered} \text{hailbut }\rightarrow\text{ \$20 and (x-5) pounds} \\ \text{salmon }\rightarrow\text{ \$17 and x pounds} \end{gathered}[/tex]Can you please help me with number 34. Determine the number of ways that each can occur
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You need to determine the number of possible combinations when you choose 4 appetizers out of 11 options in the dinner menu. Assuming that you are not going to repeat appetizers, to determine this number you have to apply combinations, using the formula:
[tex]C(n,r)=\frac{n!}{r!(n-r)!}[/tex]Where
n is the number of options available
r is the number of options you have to choose, with no repetition, and the order doesn't matter.
For this exercise:
n=11
r=4
The combination can be determined as follows:
[tex]\begin{gathered} C(11,4)=\frac{11!}{4!(11-4)!} \\ C(11,4)=\frac{11!}{4!\cdot7!} \\ C(11,4)=\frac{39916800}{24\cdot5040} \\ C(11,4)=330 \end{gathered}[/tex]There are 330 combinations possible to choose 4 out of 11 appetizers from the menu.
is( 1,9)a solution to the equation y=x
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is( 1,9) a solution to the equation y=x
answer is
is not a solutionbecause y=x means
the value of x is equal to the value of y
and 1 is not equal to 9
The circle has center O. Its radius is 3 m, and the central angle a measures 60°. What is the area of the shaded region?Give the exact answer in terms of pi, and be sure to include the correct unit in your answer
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Explanation
The area of a portion of a circle with radius 'r' and angle 'a' (in radians) is:
[tex]A_{\text{portion}}=\frac{1}{2}\cdot r^2\cdot a[/tex]In this problem r = 3m, a = 60º.
First we have to express the angle in radians:
[tex]a=60º\cdot\frac{\pi}{180º}=\frac{1}{3}\pi[/tex]The area of the shaded region is:
[tex]\begin{gathered} A=\frac{1}{2}\cdot(3m)^2\cdot\frac{1}{3}\pi \\ A=\frac{1}{2}\cdot9m^2\cdot\frac{1}{3}\pi=\frac{3}{2}\pi \end{gathered}[/tex]Answer
The area is:
[tex]A=\frac{3}{2}\pi[/tex]A recipe calls for 1/2 cup sugar, a cup of flour and 1/3 cup of milk. I need to make 3 batches. How much of each ingredient will I need?
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The recipe calls for
1/2 cup of sugar : 1 cup of flour : 1/3 cup of milk for 1 batche
We need to make 3 batches, so
Multiply each ingredient bu 3
Sugar = 1/2 * 3 = 3/2 cups
Flour = 1 * 3 = 3 cups
Milk = 1/3 * 3 = 1 cup
3/2 cups of sugar : 3 cups of flour : 1 cup of milk
The highest recorded temperature in Massachusetts was one hundred seven degrees Fahrenheit on August 27, 1975. The average monthly high temperature is 81.7 degrees Fahrenheit. How many degrees hotter than average was the temperature on August 27, 1975?
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Answer:
25.3°F
Explanation:
We need to find the difference between the temperature on August 27, 1975, and the average temperature. So, the difference is equal to:
107 °F - 81.7°F = 25.3°F
It means that on August 27, 1975, the temperature was 25.3°F hotter than average.
AC=AB=16cm.BC=20cm. How do i find the height of the triangle?
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Given that
[tex]\begin{gathered} AB=AC=16\operatorname{cm} \\ BC=20\operatorname{cm} \\ BD=\frac{BC}{2}=\frac{20\operatorname{cm}}{2}=10\operatorname{cm} \\ CD=\frac{BC}{2}=\frac{20\operatorname{cm}}{2}=10\operatorname{cm} \\ AD=h \end{gathered}[/tex]To calculate the height of the triangle, we will use the Pythagoras theorem
With the Pythagorean theorem, we will have
[tex]\begin{gathered} \text{hypotenus}^2=\text{opposite}^2+\text{adjacent}^2 \\ \text{where,} \\ \text{HYPOTENUS}=AC=16\operatorname{cm} \\ \text{opposite}=DC=10\operatorname{cm} \\ \text{adjacent}=AD=h \end{gathered}[/tex]By substituting the values, we will have
[tex]\begin{gathered} \text{hypotenus}^2=\text{opposite}^2+\text{adjacent}^2 \\ 16^2=10^2+h^2 \\ 256=100+h^2 \\ \text{substract 100 from both sides} \\ 256-100=100-100+h^2 \\ 156=h^2 \\ \text{square root both sides} \\ \sqrt[]{h^2}=\sqrt[]{156} \\ h=\sqrt[]{4}\times\sqrt[]{39} \\ h=2\sqrt[]{39} \\ or\text{ } \\ h=12.39\operatorname{cm}\approx to\text{ 1 d.p=} \\ h=12.5\operatorname{cm} \end{gathered}[/tex]Therefore,
The height of the triangle is = 12.5 cm
Three values on a number line ate labeled f, g and h.
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• f = -4
,• g = -g
,• h = -f
ExplanationLet us find the values of g and h.
• Since we know the value of, we can find the value of h.
[tex]\begin{gathered} h=-f \\ h=-(-4) \\ h=4 \end{gathered}[/tex]• We solve the given equation for g.
[tex]\begin{gathered} g=-g \\ \text{ Add g from both sides} \\ g+g=-g+g \\ 2g=0 \\ \text{ Divide by 2 from both sides} \\ \frac{2g}{2}=\frac{0}{2} \\ g=0 \end{gathered}[/tex]AnswerTherefore, the number line that shows correctly the values of f,g, and h is the one in option c.
Is 8.012 greater or less than 8.03
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In order to compare the numbers, we need to check each pair of digits that are in the same position before and after the decimal point.
We start from the left to the right. If the result of one number is greater, than this number is greater than the other number. If the digits of both numbers are the same, we move to the next digit and compare them.
So we have:
Unit position: 8 and 8
Equal results, so let's check the next digit.
Tenth position: 0 and 0.
Equal results, so let's check the next digit.
Hundredth position: 1 and 3.
3 is greater than 1, so the second number is greater than the first one.
Therefore 8.012 is less than 8.03.
Because if you add extra 0s on the end of 8.03 then you see that it’s bigger