The whole bottle of olive oil contains 7920 calories.
To find the total number of calories in the entire bottle of olive oil, one must multiply the number of calories in one serving by the total number of servings in the bottle.
Given that one tablespoon serving of olive oil contains 120 calories, and the bottle contains 66 servings, the calculation is as follows:
Total calories in the bottle = Calories per serving [tex]\times[/tex] Number of servings
Total calories in the bottle = 120 calories/serving [tex]\times[/tex] 66 servings
Total calories in the bottle = 7920 calories
Therefore, the whole bottle of olive oil contains 7920 calories.
yesterday, noah ran 2 1/2 miles in 3/5 of an hour. Emily ran 3 3/4 miles in 5/6 hour. Anna ran 3 1/3 in 3/5 hour. How fast, in miles per hour l, did each person run? who ran the fastest?
krista bought 6 gallons of gasoline and paid $6.89. to the nearest tenth of a cent, what is the price of gasoline per gallon
The price per gallon of gasoline is the cost of one gallon of gasoline which can be obtained by dividing the cost by the number gasoline purchased. Hence, the price per gallon of gasoline ls $1.15
Amount of gasoline purchased = 6 gallons
Total cost = $6.89
The price per gallon of gasoline can be calculated thus :
Total cost of gasoline ÷ Amount of gasoline purchasedPrice per gallon = $6.89 ÷ 6 = $1.148
Therefore, the price per gallon of gasoline ls $1.15 (rounded to the nearest tenth)
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Margie has a $50 budget to purchase a $45 pair of boots if there is an 8% sales tax rate then how much under budget will Marjorie be
Which is greater 17/20 or 22/25
Math- finding the volume of the triangle. Please show work, I am very confused
Janet's gross salary is $2400 per month, what is her gross yearly salary
The speed that a tsunami (tidal wave) can travel is modeled by the equation where S is the speed in kilometers per hour, and d is the average depth of the water in kilometers. A tsunami is traveling at 140 km/hr. What is the approximate average depth of the water?
Answer:
The average depth of the water will be 0.155 kilometers or 155 meters.
Step-by-step explanation:
The speed at which the tsunami waves travel is [tex]S=356\sqrt{d}[/tex]. Here S is the speed in kilometers per hour and d is the average depth of the water in kilometers.
Now, it is given that the wave travels at the speed of [tex]S=140\rm km/hr[/tex].
So, the average depth of the water will be,
[tex]S=356\sqrt{d}\\140=356\sqrt{d}\\\sqrt{d}=0.393\\d=0.155\rm km[/tex]
Therefore, the average depth of the water will be 0.155 kilometers or 155 meters.
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Answer: c
Step-by-step explanation:
0.155 km
What fraction makes the equation true?
2/3 x blank = 8/12
David and Terri drove a small motorboat down a river with the current. The rate the boat traveled in still water was r miles per hour, and the current’s average speed was c miles per hour. It took them 1.5 hours to travel 4 miles downstream. Which of the following equations can be used to represent this information?
Change to decimals and put in order of smallest to biggest
7/5 3/8 5/9 3/16
Math question, I appreciate ANY help! :D
Any help if possible Thank you ❤
PLEASE HELP! In college, you earn credits for courses taken. For each semester, tuition at a local college is $2400, plus $184 per credit. You have financial aid that will cover $5,160 for the semester. How many credits can you take without spending any of our own money?
Estimate x- and y- intercepts of the graph
(Photo) Pls help me!
The 3 sections of a game spinner are numbered 1 to 3. Which tree diagram shows all the possible outcomes for 2 spins?
The tree diagram shows all the possible outcomes for 2 spins C is correct.
We have given that,
The 3 sections of a game spinner are numbered 1 to 3.
We have to determine, which tree diagram shows all the possible outcomes for 2 spins.
There are 3 options the first time and after that,
There are 3 options for each of those.
So it would be C.
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what is equivalent to
[tex]13 - \sqrt{ - 81} [/tex]
What is the length of the altitude of the equilateral triangle below?
the actual right answer is c.
ANSWER
The length of the altitude is [tex]3\sqrt{3}[/tex] units
EXPLANATION
The altitude of a triangle is the vertical height of the triangle.
From the diagram the altitude is [tex]a[/tex]
Method 1: We can use Pythagoras theorem to find [tex]a[/tex]
[tex]6^2=a^2+3^2[/tex]
[tex]6^2-3^2=a^2[/tex]
[tex]36-9=a^2[/tex]
[tex]27=a^2[/tex]
We take the square root of both sides,
[tex]\sqrt{27}=a[/tex]
[tex]\sqrt{9\times3}=a[/tex]
[tex]\sqrt{9} \times \sqrt{3}=a[/tex]
[tex]3\sqrt{3}=a[/tex]
Method 2 Using Trigonometry
[tex]sin(60\degree)=\frac{a}{6}[/tex]
[tex]6sin(60\degree)=a[/tex]
[tex]a=6\times \frac{\sqrt{3}} {2}[/tex]
[tex]a=3\sqrt{3}[/tex]
jeffs water bill includes a base charge of 12.00. plus a charge of 1.50 for each 1000 gallons of water used. his water bill is 28.50. how many gallons of water did jeff use?
Jeff has used 11,000 gallons of water. We find this by subtracting the base charge from the total bill and dividing it by the cost per 1000 gallons.
Explanation:The water bill that Jeff receives is made up of a base charge of $12.00, plus an additional charge of $1.50 for each 1000 gallons of water used. From the given information, we know that Jeff's bill came to $28.50. To find out how much water Jeff used, we first need to subtract the base charge from the total bill which gives us $16.50. Now we divide this number by the cost per 1000 gallons, which is $1.50. Therefore, we can say that Jeff used 16.50 ÷ 1.50 = 11 units of water. Since 1 unit refers to 1000 gallons, Jeff has used 11,000 gallons of water.
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Consider the scatter plot.
Which choice best describes the association?
Positive association
No association
Negative association
What series of transformations map triangle △ABC onto △EDF to prove that ABC≅EDF ?
translation 3 units up then a reflection across x-axis
translation 3 units down then a reflection across y-axis
translation 3 units down then a reflection across x-axis
translation 3 units up then a reflection across y-axis
Answer:
translation 3 units down then a reflection across x-axis
Step-by-step explanation:
A translation is a kind of rigid motion . It trace a function that maps an object a particular distance.A reflection is a kind of rigid motion . It is mainly a flips of a shape across the line of reflection.In the given figure, we can see that Δ ABC is vertically 3 units away from the x axis .
So we translate Δ ABC by 3 units down and then reflect it across x axis to get ΔDEF.
What is the experimental probability of the arrow stopping over section 2?
suppose you have a 100 millimeter cup a 300 millimeter cup and a 500-milliliter cup list two different ways you can measure exactly 1 liter
Which relations represent functions ?
Answer: First and third
Step-by-step explanation:
A function is a special kind of relation between two variable such that each input corresponds to exactly one output.In the given pictures, the first and third picture are representing function because each input corresponds to exactly one output.
In second and fourth picture one input value corresponds to two output values.
i.e. a corresponds to 25 and 55 and x corresponds to 7 and 5 in output.
Given: ΔPSQ, PS = SQ PΔPSQ = 50 SQ – PQ = 1 Find: Area of ΔPSQ
Please help I don't understand, if you can please show work, thank you
How is the expression (5 + y) ⋅8 described by its factors and terms?
A) It has two factors and the factor (5 + y) has one term.
B) It has three factors and the factor (5 + y) has one term.
C) It has three factors and the factor (5 + y) has two terms.
D) It has two factors and the factor (5 + y) has two terms.
When a transversal is perpendicular to two parallel lines, all the angles formed measure 90°. Explain why.
Final answer:
When a transversal intersects parallel lines perpendicularly, all angles formed are right angles (90°). This is due to perpendicular lines creating right angles and the angles at the intersection points being equal in measure because of the corresponding angle postulate.
Explanation:
When a transversal is perpendicular to two parallel lines, all the angles formed measure 90° because of the geometric properties of parallel lines and transversals. A transversal is a line that intersects two or more lines at distinct points. In the case of perpendicular transversals and parallel lines, the angles formed are called right angles.
If we consider two parallel lines, like railway tracks, they never meet and are always the same distance apart, maintaining a 180° straight line angle between them. A transversal that is perpendicular to these lines would intersect at points which lie along the x-axis if we consider the parallel lines to be along this axis. By the definition of perpendicular lines, the angles formed at the intersection points are 90°. As there are two intersection points on each parallel line, and due to the corresponding angle postulate, all four angles formed are equal in measure and hence are all right angles.
This can also be understood by considering vectors in physics, where if two vectors are perpendicular to each other, they form a right triangle, indicating a 90° angle between them. Knowing that parallel lines crossed by a perpendicular transversal produce angles of equal measure, and by the property that perpendicular lines form right angles, we can conclude that all angles formed in the described scenario are indeed 90°.
what are vertical angles? give an example.
Find vertical and horizontal asymtope for (x^2+2x-48)/x+8
What sequence of transformations, when applied to △ABC , shows that △ABC is similar to △A′B′C′ ?
dilation with respect to the origin by a scale factor of 2 followed by a translation of 2 units left
dilation with respect to the origin by a scale factor of 12 followed by a translation of 2 units right
translation of 2 units right followed by a dilation with respect to the origin by a scale factor of 12
translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 12
The correct sequence of transformations that shows that △ABC is similar to △A′B′C′ is:
translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 12.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.
In this case, we can see that a dilation with respect to the origin by a scale factor of 12 would stretch or shrink the triangle, but would not change the angles.
Therefore, we need to apply a translation first to move the triangle into the correct position.
So, we first translate the triangle 2 units left, which does not change its shape or size, but moves it to a position where it can be more easily compared to the other triangle.
Then, we apply a dilation with respect to the origin by a scale factor of 12, which stretches or shrinks the triangle but does not change its shape.
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