The number of gallons of lemonade did Jessie sell on Monday was 14/3.
Organizing the information given in the statement, we have that:
On Saturday, she sold 10 2/3 gallons of lemonadeOn Sunday, she sold 3 1/3 gallons more than she sold SaturdayOn Monday, she sold 2 2/3 gallons Less than she sold on sundayCalculating how many gallons were sold, we have:
[tex]= 10 (2/3) - 3(1/3)\\= 32/3 - 10/3\\= 22/3[/tex]
For monday we have:
[tex]=2(2/3)-22/3\\=22/3-8/3\\=14/3[/tex]
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1.7w< 6.8
What is the value of w that makes this inequality true?
Show work and be clear!
I think it’s b but I’m not sure... please show work I need help ASAP
What would be the total cost of Annabel renting the surfboard for 6 hours
Answer:
its 54
Step-by-step explanation:
Which equation best represents a trend line for the scatter plot? These are fractions BTW.
y=−7/6x+55/6
y=−6/7x+62/7
y=7/6x+41/6
y=6/7x+50/7
The equation that best represents a trend line for the scatter plot is y=−7/6 x+55/6
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.
We are given the points (1, 8) and (7,1) on the scatter plot.
Therefore, the slope = (8-1)/(1-7) = -7/6
Now, the equation of line;
y = mx + b
b = y - mx
b = 8 - (-7/6)(1)
b = 8 + 7/6
b = 55/6
The equation becomes;
y = -7/6(x) + 55/6
The answer is y=−7/6 x+55/6
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One fourth of a box of cereal was shared equally among 3 people. How much cereal did each person get? Explain how you got your answer.
about how many suvs were sold in 2009
What is the greatest common factor of 15 and 45? Explain your answer.
Please answer! Show your work or give an explanation! Thank you!
Last two Pleaseeeeee
Identify all of the characteristics listed below that are associated with Step 1 of the 4-Step Problem-Solving Method -- Understand the Problem. (4 answers. Identify all 4 options correctly to receive credit for your answer; just like on LEAP.)
Identify the important words and numbers in the problem
Perform this step last.
Perform this step first.
Identify any instructions that you are supposed to follow when solving (e.g., round, simplify, draw a graph of your answer, create a table to show your answer).
Identify what you are being asked to solve or find.
Develop your plan for solving the problem
Evaluate your solution
The celski's wants to drive the 288 miles to a campground in 6 hours. what should their average speed be in miles per hour
Solve this please???????
What simplified ratio correctly compares 10,000 centimeters to 1000 meters? Drag and drop the appropriate numbers into the boxes
For this case, the first thing we must do is to have the same units for both measures.
We have then that by definition:
[tex]1m = 100cm[/tex]
Therefore we have:
[tex]10,000cm * (\frac {1m} {100cm}) = 100m[/tex]
Then, we look for the relationship between both measures:
[tex](\frac {100m} {1000m})[/tex]
Simplifying we have:
[tex](\frac {1m} {10m})[/tex]
Answer:
The simplified ratio that correctly compares 10,000 centimeters to 1000 meters is:
[tex](\frac {1m} {10m})[/tex]
A cathedral has a large,circular stained glass window. A visitor measures the window and calculates that it has a circumference of 12.56 yards. What is the windows area
The area of the stained glass window is approximately 12.56 square yards. We obtained this by first calculating the radius (2 yards) using the given circumference, then substituting the radius into the formula for the area (πr²).
Explanation:The area of a circle can be found using the formula A = πr². where A represents the area, r is the radius, and π is a mathematical constant approximately equal to 3.14. First, we should find the radius of the window. The circumference of a circle is given by the formula C = 2πr. If the circumference is known to be 12.56 yards, we can solve for the radius as follows:
Setting the two formulas equal to each other, we get 12.56 = 2πrDividing both sides by 2π, we get r = 12.56/2π = 2 yards.Next, we substitute the radius into the area formula: A = π(2)² = 4π = 12.56 square yards.
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Amber had 3/8 of a cake left after her party. She wrapped a piece that was 1/4 of the original cake for her best friend. What fractional part did she have left for herself
The value of an autographed baseball card increased from $39 to $65. What is the percent increase in value of the baseball card? Round to the nearest hundredth of a percent
Answer:
The percent increase in value of the baseball card is 66.667%
Step-by-step explanation:
You must first determine the amount of money increased by the value of an autographed baseball card. For this you must subtract the price with the applied increase and the original price of the card: $65-$39=$26
This will be the amount of increase. Then, one way to calculate the percentage increase in the value of the baseball card is through a direct rule of three.
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (Or when one magnitude decreases, so does the other), the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:
a ⇒ b
c ⇒ x
Then
[tex]x=\frac{c*b}{a}[/tex]
In this case, the rule of three applies as follows: If the original price ($ 39) represents 100%, what is the value of the percentage in the value of the baseball card when its value increases $ 26?
[tex]percentage=\frac{26*100}{39}[/tex]
percentage=66.667%
Another way of thinking about it is considering that:
change from the original price = percentage of change*original price
In this case: $26=percentage of change*$39
So, isolating the percentage of change you get:
[tex]percentage of change=\frac{26}{39} =0.66667[/tex]
This value is expressed in decimal, and for it to be expressed in fraction you must multiply it by 100 (100%). Then you get:
percentage of change=0.66667*100%
percentage of change=66.667%
Note that the value obtained is the same as in the previous case, so both ways of thinking the solution to this problem is correct
Finally, the percent increase in value of the baseball card is 66.667%
0.25 rounded to the nearest tenth
sketch the graph of y=x²+4x-5
If your pencils is 20 centimeters long how many millimeters is it
A basketball has a circumference of 29.5 inches. Using 3.14 what is the basketballs volume to the nearest cubic inch?
Assessment items On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm , m∠A=80° , and m∠B=50° . What is AC ?
A) 3 cm
B) 6 cm
C) 9 cm
D) 12 cm
PLZ HELP ITS A MORE THAN ONE ANSWER A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estimated probability that three out of four randomly chosen teenagers do not prefer watching a movie at a theater. How could you design a simulation for this situation?
A.Flip a fair coin four times, with heads representing teenagers who prefer watching a movie at a theater and tails representing those who do not.
B.Pick a card from a deck of standard playing cards four times, with red suits representing those who prefer watching a movie at a theater and black suits representing those who do not.
C.Spin a spinner with four equal sections three times, with one section representing each person.
D.Roll a six-sided die four times, with even numbers representing those who prefer watching a movie at a theater and odd numbers representing those who do not.
E.Generate a set of four numbers using a number generator, with numbers 0 to 5 representing those who prefer watching a movie at a theater and 6 to 9 representing those who do not.
PLZ PICK THE RIGHT ONE AND ITS A MORE THAN ONE ANSWER
Find point B on the graph. In which quadrant does the point lie
Molly invested $12,000 in an account with an interest rate of 6%. What is the amount in Molly's account after 6 years if the interest was compounded annually? A) $5,022.23 B) $17,022.23 C) $22,044.46 D) $170,222.26
The formula for compound interest is given by:
[tex] A = P (1+\frac{r}{n})^{nt} [/tex]
where ,
A= Amount,
P=Principal
r=rate of interest
n= number of times interest is compounded per year
t = time ( in years)
Plugging the values ,
P = $12,000
r=0.06
t=6 years
n=1(annually compounded)
Plugging these in the formula,
[tex] A = 12000 (1+\frac{0.06}{1})^{1*6} [/tex]
A =$17022.229 which is approximately 17022.23
Answer: Amount is option B. $17022.23
The equivalent of 6/11 is a repeating decimal.How many digits are in the repeating decimal?
What is the simplified version of (9/2 x - 2) - (3/2 x + 1)
how do i solve 0.97 on a decimal number line?
a boy flies a kite with 100 foot long string. the angle of elevation of the string is 48. how high is the kite from the ground.
The height of the kite from the ground is approximately 74.2 feet, calculated using the trigonometric concept of sine. Sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.
Explanation:The subject of the question is the height of a kite, a topic in Trigonometry.Trigonometry deals with the relationships between the sides and angles of triangles. In this case, we're given that a boy is flying a kite with a 100 foot string at an angle of 48 degrees. We can use the concept of sine in Trigonometry, where sine of an angle in a right triangle is the length of the opposite side divided by the length of the hypotenuse.
In this case, the height of the kite from the ground forms the opposite side, the 100 foot string forms the hypotenuse, and the angle of elevation given is 48 degrees. We have the equation:
sin(48) = height / 100
Therefore, the height = sin(48) * 100.
Using a calculator to find the sine of 48 degrees, and then multiplying the result by 100, we get the height of the kite from the ground to be approximately 74.2 feet.
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Jade buys a blouse and a skirt for 34 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt? Enter your answer in the box.
a taxi service charges an initial fee plus $1.80 per mile. how far can you travel for $12
To travel for $12 in a taxi service with an initial fee plus $1.80 per mile, you can travel up to 3 miles.
Explanation:To determine how far you can travel for $12, you need to consider the initial fee charged by the taxi service and the cost per mile. Let's assume the initial fee is $5. Therefore, you have $12 - $5 = $7 left to spend on miles. Since the cost per mile is $1.80, you can travel $7/$1.80 = 3.89 miles. However, since you cannot travel a fraction of a mile, you can travel up to 3 miles for $12.