Answer:
2 teaspoons
Step-by-step explanation:
24 tsp/12 cups = x tsp /1 cup
Cross multiplying, we have:
12x = 24
x = 2
The solution is 2 teaspoons of cocoa
Number of teaspoons of cocoa is given by the equation A = 2 teaspoons
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of teaspoons of cocoa be represented as A
Now , the equation will be
A batch of hot chocolate is made with 24 teaspoons of cocoa and 12 cups of milk
So , for 12 cups of milk = 24 teaspoons of cocoa is required
And , for 1 cup of milk A = 24 teaspoons of cocoa is required / 12
Substituting the values in the equation , we get
Number of teaspoons of cocoa A = 24 teaspoons / 12
Number of teaspoons of cocoa A = 2 teaspoons
Therefore , the value of A is 2 teaspoons
Hence , the number of teaspoons is 2
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Hunter is copying an angle. His work so far follows. Explain the importance of his next step, which is drawing a line through A and Y using a straightedge.
This is to check to make sure that A is in the right place, since it was drawn using the arcs.
Using a straightedge ensures that there is a line passes through A and Y.
Because a line was drawn through point L, a similar line should be drawn through the corresponding point on ∠AYZ.
This is the other ray that will make up the angle ∠AYZ and will complete the construction.
Answer:
This is the other ray that will make up the angle ∠AYZ and will complete the construction.
Step-by-step explanation:
The point of the construction is to copy the angle. That is, the end result must be an angle with identical measure to the original. The construction so far has no angle at Y. Drawing ray YA will complete the construction and create the desired angle. That is, YA ...
This is the other ray that will make up the angle ∠AYZ and will complete the construction.
A meter is a unit of length approximately equal to 39.37 inches. If someone is 1.64 meters tall, what is his or her approximate height in inches?
Answer:
64.5668 inches tall
Step-by-step explanation:
If you set up a proportion, you would have to do 1.64 times 39.37, which would equal 64.5668 inches.
How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?
Answer:
72 cubes
Step-by-step explanation:
Top view of the rectangular prism shows the unit cubes arranged in two rows along the length.
In each row number of unit cubes arranged = 9
Right view side of the prism shows the unit cubes arranged in two columns.
Number of unit cubes in each column = 4
Total number of cubes arranged in the prism = (Number of cubes in each row × Number of cubes arranged in two columns) × Number of columns
= (9 × 4) × 2
= 72
Therefore, number of cubes filled completely in the prism with no gaps = 72
if S( 1, 2, 3, 4, 5,6 ) find the probability that a number chosen is more than 4
[tex]|\Omega|=6\\|A|=2\\\\P(A)=\dfrac{2}{6}=\dfrac{1}{3}[/tex]
Answer:
1/3
Step-by-step explanation:
The list of sample space's elements: {1, 2, 3, 4, 5, 6}
The number of elements in sample space: 6
The list of elements belonged to the event "choosing the number larger than 4": {5, 6}
The number of elements in the event: 2
Hence, the probability of event "choosing a number larger than 4":
P = number of event's elements/number of sample space's elements
= 2/6
= 1/3
A man traveled 1/3 of the distance between
two cities in 3/4 of an hour. At this rate, how
many hours will it take him to travel the
entire distance between the two cities?
Answer: 2 hours 15 minutes
Step-by-step explanation:
3/4 of an hour times 3 will be 9/4; each fourth is 15 minutes. 9 times 15 is 135 minutes, which is 2 hours and 15 minutes
Answer:
2.25 hours
Step-by-step explanation:
The man traveled 1/3 of the distance in 3/4 of an hour.
This means that he needs to travel for 3 times as long to travel the entire distance.
3 * 3/4 = 9/4 = 2.25
2.25 hours.
Or, 2 hours and 15 minutes (as 0.25 = 1/4).
Which expression is equivalent to 125x6, 1533?
Answer:
511 x 3 = 1533
Step-by-step explanation:
here's another:
219 x 7
hope this helpes
what is the answer to 4x^2+2x-10
Answer:
2 (2x^2 + x - 5)
Step-by-step explanation:
Factor 2 out of 4 x^ 2
Factor 2 out of 2 x
Factor 2 out of − 10
Factor 2 out of 2 (2x^2) + 2x
Factor 2 out of 2 ( 2 x^ 2 + x ) + 2 ⋅ − 5
Hope this can help you
The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fraction of employees answered less than of their incoming calls before the second ring?
Answer:
1/6
Step-by-step explanation:
People who answered less than 1/2 were: 2 + 1 + 3 = 6 people.
There are a total of 36 people.
People who answered their calls before the second ring were only 6/36.
When we simplify the fraction, we get 1/6.
So, the answer is 1/6.
You know that the average college student eats 0.75 pounds of food at lunch. If the standard deviation is 0.2 pounds of food, then what is the total amount of food that a cafeteria should have on hand to be 90 percent confident that it will not run out of food when feeding 50 college students?
Answer: $53.95
Step-by-step explanation:
Given: [tex]\mu=0.75[/tex] pounds
[tex]\sigma= 0.2[/tex] pounds
n= 50
Two tailed critical z-value for 90% confidence level = 1.645
Let x be the total amount of food that a cafeteria should have on hand to be 90 percent confident that it will not run out of food .
z-score = [tex]\dfrac{x-\mu}{\sigma}[/tex] [tex]=\dfrac{x-0.75}{0.2}[/tex]
Then, [tex]\dfrac{x-0.75}{0.2}=1.645[/tex]
[tex]x-0.75=1.645\times0.2\\\\\Riightarrow\ x-0.75=0.329\\\\\Rightarrow\ x= 0.329+0.75\\\\\Rightarrow\ x= 1.079[/tex]
Foe 50 students, total amount of food = 1.079 x 50 = $53.95
hence, the cafeteria should have food of amount $53.95 so that it is be 90 percent confident that it will not run out of food.
6x + 11 + 3x .........................................
Answer: I'm assuming you want this problem simplified.
6x + 11 + 3x
Combine like terms: 9x + 11
Your expression now looks like: 9x + 11
There is nothing left to simplify, so you're done!
Hope this helps!
Answer:
9x+11
Step-by-step explanation:
6x + 11 + 3x
Combine like terms
9x+11
if the circumference of two circle are in the ratio 2:3, then their areas are in the ratio of
Answer:
4:9
Step-by-step explanation:
To take the scale factor from distance to area, we square it
2:3 distance
Square each term
2^2 : 3^2 area
4:9
What is the maximum number of pages the report can have so that it can be completely stored on a USB drive that holds 4 \cdot 10^6 \text{ KB}4⋅10 6 KB4, dot, 10, start superscript, 6, end superscript, start text, space, K, B, end text?
Answer:
2,300,000pages report.
Step-by-step explanation:
Given a USB drive with memory of 4.6*10⁶KB, in order to know the maximum number of pages a report can have so that it can be completely stored on the drive, the conversion factor must be used.
We must first understand that 1 page of a document uses up approximately 2kB of the storage.
Since 2kB = 1page
4.6*10⁶KB = x page
Cross multiply
2kB * x = 4.6*10⁶KB * 1
2x = 4.6*10⁶
x = 4.6*10⁶/2
x = 2.3*10⁶
x = 2,300,000
Hence the maximum number of pages that the report can have so that it can be completely stored on a USB drive that holds 4.6*10⁶KB is approximately 2,300,000pages report.
Factor 2x2 − 4x − 30 completely. (5 points) 2(x − 5)(x + 3) 2(x − 3)(x + 5) (2x + 3)(x − 5) (2x − 5)(x + 3)
Answer:
The answer is
2( x + 3)(x - 5)Step-by-step explanation:
To factor the expression
2x² - 4x - 30
First factor 2 out of the expression
That's
2( x² - 2x - 15)
Next write - 2x as a difference
2( x² + 3x - 5x - 15)
Factor out x from the expression
That's
2 [ x( x + 3) - 5x - 15 ]
Factor out -5 from the expression
2 [ x ( x + 3) - 5( x + 3) ]
Factor out x+3 from the expression
We have the final answer as
2( x + 3)(x - 5)Hope this helps you
Answer:
C. 2(x - 5) (x + 3)
Step-by-step explanation:
I took the test
The shape on the left is translated to the shape on the right.
Which statement about the transformation is true?
A.The name of the shape on the right is MNOPQRS' because it is the image of the shape on the left.
B.The name of the shape on the right is MNOPORS' because it is the pre-image of the shape on the left.
C.The name of the shape on the right is M’N’O’P’Q’R’S because it is the pre-image of the shape on the left.
D. The name of the shape on the right M’N’O’P’Q’R’S
Because it is the pre-image if the shape in the left.
Answer:
sorry i am late but the answer is The name of the shape on the right is M prime N prime O prime P prime Q prime R prime S prime because it is the image of the shape on the left. and if you dont want to read that its D
hope it helped anyone :)
The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point up, down, left or right.
The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left
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How many liters of a 35% salt solution must be mixed with 20 liters of 70% salt solution to obtain a solution that is 45% salt? What is the equation?
Answer:
.35 x + .70 (20) = .45(x+20)
50=x
Step-by-step explanation:
Let x = liters of 35% salt solution
We have 20 liters of 70%
We have a total of 20+x liters of 45%
.35 x + .70 (20) = .45(x+20)
Distribute
.35x + 14 = .45x +9
Subtract .35x from each side
14 = .10x +9
Subtract 9 from each side
5 = .10x
Divide each side by .1
5/.1 = x
50=x
Find the graph of the inequality y<-1/5X+1.
Answer:
Please refer to attached image for the graph of inequality.
Step-by-step explanation:
Given the inequality:
[tex]y<-\dfrac{1}{5}x+1[/tex]
To graph this, first let us convert it to corresponding equality.
[tex]y=-\dfrac{1}{5}x+1[/tex]
As we can see that the above equation is a linear equation in two variables so it will be a straight line.
Now, let us find at least two points on the above equation so that we can plot them and then extend it to get the complete graph.
Two points that can be easily found, are:
1st put [tex]x = 0[/tex] , [tex]y=-\frac{1}{5}\times 0+1 =1[/tex]
So one point is (0, 1 )
Now, put y = 0,
[tex]0=-\frac{1}{5}\times x+1\\\Rightarrow 1=\frac{1}{5}\times x\\\Rightarrow x = 5[/tex]
Second point is (5, 0)
Let us plot the points on the graph and extend the straight line.
Now, we know that it is an inequality, the are will be shaded.
As there is no equal to sign in the inequality, so the line will be dashed.
Let us consider one point and check whether that satisfies the inequality or not.
If the point is satisfied in the inequality, we will shade that area towards the point.
Let us consider the point (0, 0).
0 < 0 +1
Point is satisfied.
Please refer to the attached image for the graph of given inequality.
What is a "real number"
Answer: are numbers which include all the rational numbers, such as -3 which is an integer and the fractions such as 5/4, and all the irrational numbers, such as √7, and π
Question 3 of 10
True or false? In a two-column proof, the right column states your reasons.
A. True
OB. False
SUBMIT
Answer:
A- True
Step-by-step explanation:
If you search a picture of the graph then you will see it as well!!! Hope this helps!!!!
When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 3? A. 1:8 B. 8:1 C. 1:9 D. 9:1
Answer:
1:9 is my best guess because 9 is a factor of 3 and 1 would be the lowest ratio for a number less than 3 :)
Step-by-step explanation:
Hope this helps, have a good day :)
Just need the final answer
Answer:
[tex]\boxed{\sf a) \ 15.9}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
We can use trig functions to solve for x.
cos θ = adj/hyp
cos(51) = 10/x
x = 10/cos(51)
x = 15.89015729
A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of
lemon juice in each batch of hummus recipe that he makes. Dinesh makes 5 batches of hummus.
What is the total cost of oil that he uses in the 5 batches of his recipe?
The correct answer is $15
Explanation:
The first step is to determine the total of oil that was used for the 5 batches. To find this, you just need to multiply the amount of oil used for one batch by the total batches.
1 cup of oil per batch x 5 batches = 5 cups of oil
This means, in the 5 batches the oil Dinesh used was 5 cups of oil. Additionally, you know the total of cups in the bottle of oil is 12 cups, and these 12 cups or total costs $36. Now to find what is the cost of the 5 cups use the rule of three and cross multiplication.
12 cups of oil = $36 1. Write the values
5 cups of oil = x
12 x = 180 2. Cross multiply this means 36x 5 and 12 multipy by x
x = 180 ÷ 12 3. Solve the equation
x= 15 - Cost for 5 cups used in the batches
A baking scale measures mass to the tenth of a gram up to 650 grams .Which of the following measurements is possible
Answer:
A. 3.8 grams
Step-by-step explanation:
A baking scale measures mass to the tenth of a gram, up to 650 grams. Which of the following measurements is possible using this scale?
a.3.8 grams
b.120.01 grams
c.800.0 grams
d.54 milligrams
Solution
The scale measures mass to the tenth of a gram
The scale measures up to 650 grams
a.3.8 grams
This measures to the tenth of a gram (to one decimal place) and it is not up to 650 grams
b.120.01 grams
This measures to hundredth of a gram ( 2 decimal places) and it is not up 650 grams.
c.800.0 grams
This measures to the tenth of a gram but exceeds the 650 grams limit
d.54 milligrams
This is in milligram, so it is wrong
Option a.3.8 grams is the only possible scale measurement among the options.
A beach has two floating docks. One is 650 meters east of the lifeguard stand. The other is 60° southeast and 750 meters from the lifeguard stand. Law of cosines: A triangle is created between a lifeguard stand and 2 floating docks. The distance from the lifeguard stand to one dock is 750 meters, and the distance to the second dock is 650 meters. The angle between the 2 sides is 60 degrees. Rounded to the nearest meter, what is the distance between the docks? Round to the nearest meter. 589 meters 705 meters 792 meters 861 meters
Answer:
705 meters
Step-by-step explanation:
[tex]cos~60=\frac{650^2+750^2-d^2}{2 \times 650 \times 750} \\2 \times 650 \times 750 \times \frac{1}{2}=50^2(13^2+15^2)-d^2 \\487500=2500(169+225)-d^2\\487500=2500(394)-d^2\\487500=985000-d^2\\487500-985000=-d^2\\d^2=497500\\d=\sqrt{497500}\\or~d\approx705.337 \approx 705~meters[/tex]
Answer:
7 0 5 M E T E R S !!!!!
Step-by-step explanation:
The table shows the annual profits (in thousands of dollars) of a county fair from 2013 to 2016. What must the 2017 profit be (in hundreds of dollars) to break even over the five-year period?
Answer:
8 hundred dollars
Step-by-step explanation:
The break even value means zero profit or loss over the five years period. So if 2017 profit is x, then we get:
2.5 + 1.4 - 3.3 - 1.4 + x = 0x - 0.8 = 0x = 0.8 thousands of dollars x= 800 dollars16. Expand (2x - 1)(x - 3).
A. 2x2 - 7X+3 B. 2x2 +7x+3
C. 2x2-7X-3 D. 2x2+7X-3 E. x2+7X-3
Answer:
Hey there!
[tex](2x-1)(x-3)[/tex]
[tex]2x^2-1x-6x+3[/tex]
[tex]2x^2-7x+3[/tex]
Hope this helps :)
Answer:
see below
Step-by-step explanation:
the simple answer is a if you need an explanation just comment
Please answer this question now
Answer:
298.3 square centimeters
Step-by-step explanation:
We are given
Slant height (l)= 14cm
Radius (r)= 5cm
Since we are given the slant height ,
the formula for surface area of a cone =
πrl + πr²
πr(l + r)
π = 3.14
Hence,
3.14 × 5(14 + 5)
3.14 × 5(19)
= 298.3 square centimeters
If x =2.3,5x.3= DONT MAKE ANSWERS THAT DONT MAKE ANY SENSE OR YOU WILL GET REPORTED
Answer:
34.5
Step-by-step explanation:
5 times x(2.3) = 11.5.
11.5 times 3 is 34.5
you put 2.3 in place of x because x was the unknown value, but now that we know it is 2.33 we plug it in.
Sandy's older sister was given $2,400 and was told to keep the balance of the money after sharing with her siblings. Give Sandy exactly $350. Write Sandy's portion
Answer:
Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]
Step-by-step explanation:
Sandy's older sister was given $2,400
She was told to keep the balance of the money after sharing with her siblings.
She gave Sandy exactly $350
The objective is to write Sandy's portion.
Sandy's portion will be the ratio of the amount given to Sandy divided by the total amount at her sister disposal.
Let Sandy's older sister be y,
So, y = 2400
Sandy's portion = [tex]\dfrac{350}{2400}[/tex]
Sandy's portion = [tex]\dfrac{35}{240}[/tex]
Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]
State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement. Triangle LKJ≈____
Answer: C) similar, SAS similarity, triangle LQR
==============================================
Explanation:
The vertical angles KLJ and QLR are congruent. This forms the "A" in "SAS". The angles in question are between the marked sides.
KL = 18 is twice that of QL = 9, or put another way, KL/QL = 18/9 = 2. The ratio of the sides is 2. Also, JL/RL = 16/8 = 2 is the same ratio. Because both pairs of sides have the same ratio, the sides are in proportion. This helps form the two "S" letters of "SAS".
The original triangle has LKJ mentioned at the top. Note the order as its important. We start with L and move to K, so LK is the first segment mentioned. LK = 18 pairs up with LQ = 9, meaning that LQ must be the first segment mentioned of the answer triangle. Therefore LQR is the correct letter sequence if we start with point L. Writing QLR is not correct because Q is the first letter here but Q does not pair up with L.
Factor completely 2c5 + 44c4 + 242c3. 2c3(c + 11)2 2(c + 11)2 2c3(c + 11)(c − 11) 2c3(c2 + 22c + 121)
Answer:
2c^3(c+11)^2
Step-by-step explanation:
2c^5 + 44c^4 + 242c^3
Factor out the greatest common factor
2c^3(c^2+22c+121)
Recognizing inside the parentheses is (a+b) ^2 where a =c and b = 11
2c^3(c+11)^2
