when chef alice makes rice pailaf for 30 people she uses 15 cups of chicken broth and 10 cups of rice dan wants to make the same recipe for 9 people write and use equations to find how much broth and how much rice dan should use
15 cups of chicken broth + 10 cups of rice = 30 people
4.5 cups of chicken broth + 3 cups of rice = 9 people
The number of cups of chicken broth required for 9 people is 4.5.
The number of cups of rice required for 9 people is 3
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Alice makes rice pailaf for 30 people she uses 15 cups of chicken broth and 10 cups of rice.
This can be written as,
15 cups of chicken broth + 10 cups of rice = 30 people _____(1)
Now,
Multiply 9/30 on both sides.
9/30 x 15 cups of chicken broth + 10 cups of rice) = 9/30 x 30 people
9/30 x 15 cups of chicken broth + 9/30 x 10 cups of rice = 9 people
4.5 cups of chicken broth + 3 cups of rice = 9 people
Thus,
The number of cups of chicken broth required for 9 people is 4.5.
The number of cups of rice required for 9 people is 3
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20 Points Please help.
Write the system of inequalities shown in the graph
Subtract using the number line.
−2/3−(−1 1/3)
a) −1 2/3
b) −2/3
c) −1/3
d) 23
The equation -2/3 - (-1 1/3) simplifies to -2/3 + 4/3, which ultimately equals 2/3. To solve this, we convert mixed numbers to improper fractions and add, since subtracting a negative is the same as adding a positive. The correct option is B.
To solve the equation -2/3 - (-1 1/3), we need to subtract a negative number, which is the same as adding its positive equivalent. First, convert the mixed number -1 1/3 to an improper fraction. Since 1 is equal to 3/3, -1 1/3 is the same as -1 - 1/3, or -3/3 - 1/3, which simplifies to -4/3. Now we have -2/3 - (-4/3), which is the same as -2/3 + 4/3. Combining these fractions gives us 2/3, which is the positive solution to the equation.
The area of a parallelogram is 45 square miles. Find the base and height.
Which expression has an estimated product of 60
Specific mathematical expressions are needed to determine which has an estimated product of 60, for instance, combinations like 10 times 6 or 15 times 4.
The question relates to estimating the product of numerical expressions to determine which one is closest to 60. However, the provided information contains unrelated data and does not present clear mathematical expressions that we can evaluate to find an estimated product of 60. Thus, to accurately answer this question, we would need specific expressions to consider. In general, an expression likely to have an estimated product of 60 would be the multiplication of two numbers whose product is close to 60. For instance, numbers like 10 and 6 or 15 and 4 could be suitable factors in such expressions.
Write an example of the distributive property.
what is the answer to -1/2(t+9)+5 3/4t=3/8t
A square has an area of 4x^{2} + 12xy + 9y^{2} square meters. What is the perimeter of the square?
Answer:
Perimeter = 4L = 4(2x+3y) = 8x+12y
Step-by-step explanation:
Given:
square with area A(x,y) = 4x^2+12xy+9y^2
Find perimeter.
A(x,y) = (2x+3y)^2
Length of each side
L = sqrt( A(x,y) ) = sqrt((2x+3y)^2) = 2x+3y
Perimeter = 4L = 4(2x+3y) = 8x+12y
Please help me, I’m lazy
Please help me to answer these questions!!
1- There are 40 ping-pong balls in a box. 16 of them are dented. Find the ratio of the number is dented ping-pong balls to the total number of ping-pong balls in the box if another 12 dented ping-pong balls are added into the box??
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2- The total height of three friends, Sasha, Tess and Wendy, is 470 cm. The ratio of the height of Sasha to the height of Tess is 3 : 4. Wendy is 30 cm taller than Tess. Find the ratio of Tess’ height to Wendy’s height??
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3- Josh, Ben and Rick have 70 marbles altogether. The ratio of the number is marbles Josh has to the number of marbles Rick has is 1 : 2. However, Ben has 15 marbles fewer than Rick. How many marbles does Ben have?
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Final answer:
The ratio of dented ping-pong balls to the total number of ping-pong balls is 28/52. The ratio of Tess' height to Wendy's height is 8/9. Ben has 19 marbles.
Explanation:
Question 1:
To find the ratio of dented ping-pong balls to the total number of ping-pong balls, you need to add the number of dented balls before and after adding 12 more dented balls.
Given that there are initially 16 dented balls in a total of 40 balls, the ratio is 16/40.
After adding 12 more dented balls, the total number of dented balls becomes 16 + 12 = 28.
The total number of ping-pong balls is 40 + 12 = 52.
Therefore, the ratio of dented balls to the total number of balls is 28/52.
Question 2:
Let's assign variables for the heights of Sasha, Tess, and Wendy.
Let the height of Sasha be 3x.
Since the ratio of Sasha's height to Tess's height is 3:4, the height of Tess can be represented as 4x.
Wendy is 30cm taller than Tess, so Wendy's height is (4x + 30).
The total height of the three friends is 470cm, so we can write the equation 3x + 4x + (4x + 30) = 470.
Simplifying the equation gives us 11x + 30 = 470, and solving for x gives us x = 40.
Therefore, the ratio of Tess's height to Wendy's height is 4x/(4x + 30) = 4*40/(4*40 + 30) = 160/190 = 8/9.
Question 3:
Let's assign variables for the number of marbles Josh, Ben, and Rick have.
Let the number of marbles Josh has be x.
Since the ratio of Josh's marbles to Rick's marbles is 1:2, the number of marbles Rick has is 2x.
Ben has 15 fewer marbles than Rick, so Ben has (2x - 15) marbles.
These three quantities sum up to 70, so we can write the equation x + 2x + (2x - 15) = 70.
Simplifying the equation gives us 5x - 15 = 70, and solving for x gives us x = 17.
Therefore, Ben has 2x - 15 = 2*17 - 15 = 19 marbles.
At a supermarket pineapple juice sells at $1 per pint (16 ounces). Greg wants to buy 18 40-ounce cans of pineapple juice from the supermarket. How much does he have to pay altogether?
Greg would need to pay a total of $45 for 18 40-ounce cans of pineapple juice, after converting the total ounces to pints at the given price of $1 per pint.
To determine how much Greg needs to pay for 18 40-ounce cans of pineapple juice, we first need to calculate the total number of ounces Greg is purchasing and then convert that to pints since the price is given per pint. One pint equals 16 ounces, so we can use this to find the cost.
Step-by-Step Calculation:
Calculate the total ounces of pineapple juice.
18 cans imes 40 ounces per can = 720 ounces total.
Convert ounces to pints since the price is per pint.
720 ounces ÷ 16 ounces per pint = 45 pints.
Calculate the total cost.
45 pints imes $1 per pint = $45 total.
Therefore, Greg has to pay a total of $45 for 18 40-ounce cans of pineapple juice.
The cost of 8 adults tickets to a movie is $66. What is the cost of one adult ticket?
THE FIRST ONE THAT ANSWERS AND EXPLAINS WHY HE GOT THAT WILL NE MARKED AS BRAINIEST
770 Times 6 equals 77 Times 6 Times 100
Factor the expression. 49b^2+70b+25
Type the correct answer in the box below.
Use numerals instead of words. If necessary, use / for the fraction bar(s). A line passes through point (-2, 5) and has a slope of . Points A(x, 3) and B(-2, y) lie on the line. The value of x is , and the value of y is . (already solved))
2. -1/2 + (1 1/4)
Type the correct answer in the box below.
What weight of dry substance is in 150g of a 3% substance solution? What weight of an 8% solution can we have with the same weight of dry substance?
Answer:
4.5 and 56.25
Step-by-step explanation:
9th: 20%
10th: 40%
11th: 30%
12th: 10%
The students in four grades in the TopTalent High School are shown above. If the difference between the total number of students in 11th and 12th grade and the total number of students in the 9th and 10th grade is 100, how many students are there at the school?
The total of students in 11th and 12th grade is 30% + 10% = 40% of the students at the school.
The total of students in the 9th and 10th grade is 20% + 40% = 60% of the students at the school.
The difference between the groups is 60% - 40% = 20% of the students at the school. That difference is 100 students, so 20% of the student body is 100 students. Multiplying by 5 tells us 100% of the student body is 500 students.
how to estimate and multiply 83x367
A Realtor earns a 3.25% commission on the sale of each house. How much did a house sell for if Realtor earned 10,566.40
Answer:
He sold the house for $325,120.
Step-by-step explanation:
A realtor earns a 3.25% commission on the sale of each house.
He earned his commission on a house sell = $10,566.40
Let the price on which he sold a house be 'p'
Therefore, 3.25% × p = $10,566.40
0.0325 × p = 10566.40
p = [tex]\frac{10,566.40}{0.0325}[/tex]
p = $325,120
He sold the house for $325,120.
Which of the following are true statements about the expression -7 + 7
1.The expression describes the number that is 7 to the left of -7 on the number line
2.The expression describes the number that is 7 to the right of -7 on the number line.
3.The expression equals -14
4. The expression equals 0.
Chose all answers that apply
Answer:
2
Step-by-step explanation:
on algebra nation, it would be B
Charlie graphs the equation y= –1/2x+2 . Select all statements about Charlie's graph that are true. The graph is a straight line. The line does not pass through the origin. The line passes through the point (0, –2) . The slope of the line is 12 . The y-intercept of the line is 2.
Answer:
Step-by-step explanation:
The graph is a straight line.
The line does not pass through the origin.
The y-intercept of the line is 2.
Which equation represents a proportional relationship? y= 1 /2x or y=2(x+ 1 3 ) or y = 3x or y=−3x+2
Wat is 940 divided by 20
there were 18 cans ona shelf. a customer bought 7 cans. then jake put 6 cans on the shelf. how many cans are on the shelf now?
simplify the expression (0.4)^{3}.
A carton of juice contains 64 ounces. Ms.Wilson bought 6 cartons of juice how many ounces of juice did she buy
Susan has raised $234 by selling 18 equally priced wreaths for the band fund-raiser. Which of the following equations can be used to find the price, y, of each wreath?
18x = $234 equation help Susan to find the price of each wreath, which is equals to $13.
What is linear equation in one variable?" Linear equation in one variable is mathematical expression of writing an equation in which highest degree of the variable is one."
According to the question,
Amount raised by Susan = $234
Number of wreaths =18
'x' represents the price of each wreath .
As per the condition given , linear equation we get,
18x = $234
⇒x = 234 / 18
= $13
Hence, 18x = $234 equation help Susan to find the price of each wreath, which is equals to $13.
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Use slope formula,, to find the slope of a line that passes through the points (–3, 8) and (4, –6).
m =
Use slope-intercept form, y = mx + b, to find the y-intercept (b) of the line.
b =
What is the new equation written in slope-intercept form, y = mx + b?
Answer:
m=-2
b=2
Equation in Slope-Intercept Form: y= -2x+2
Step-by-step explanation:
The slope-intercept form, y = mx + b of the given line will be y = -2x + 2.
What are a line and its slope?
A line section that can connect two places is referred to as a segment.
The slope of a line is tan of the angle from the positive x-axis.
In other words, the slope is just the intensity of inclination of any curve at a point for example x = sinx has 0 inclination at x = 0.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given that the points are (–3, 8) and (4, –6).
Slope m = difference in y coordinate/difference in x coordinate
m = (-6 - 8)/(4 +3 ) = -2
So our equation will be
y = -2x + n
Now for b put (4, –6) than
n = 2 so
The equation will be y = -2x +2 hence it will be the correct answer.
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The expression 3(x^2-1)-(x^2-7x+10) is equivalent to
How much change will you get back if you bought three $0.99 chocolate bars and paid with a $5 bill