Answer:
4 / 21 spoonful of vanilla
Step-by-step explanation:
3 1/2 dozens = 42 cookies
Let x = spoonful of vanilla for 1 dozen of cookies
2/3 : 42 cookies
x : 12 cookies
2/3 ÷ 42 = x ÷ 12
2/3 × 1/42 = x / 12
2 / 126 = x / 12
Cross product
2*12 = 126*x
24 = 126x
Divide both sides by 126
x = 24 / 126
= 4 / 21
x = 4 / 21 spoonful of vanilla
Per dozen of cookies requires 4/21 spoonful of vanilla
Check:
4/21 per dozen × 3 1/2 dozens
4/21 × 7/2
28 / 42
2/3 spoonful for 3 1/2 dozens
The total amount of dozen cookies = [tex]3\dfrac{1}{2}[/tex]
Stephanie requires [tex]\dfrac{2}{3} \ tablespoons[/tex] to make [tex]\mathsf{3\dfrac{1}{2}\ dozen \ cookies}[/tex]
Let assume that:
(x) represents the amount of the tablespoons Stephaine needs to prepare 1 dozen cookies:Then; we can equate both equations together as follows:
[tex]\dfrac{2}{3} \ tablespoons[/tex] = [tex]\mathsf{3\dfrac{1}{2}\ dozen \ cookies}[/tex]
x tablespoon = 1 dozen cookies
By cross multiply and making (x) the subject of the formula, we have:
[tex]\mathbf{x \times 3\dfrac{1}{2} dozen \ cookies = \dfrac{2}{3} \ tablespoons \times 1 \ dozen \ cookies}[/tex]
[tex]\mathbf{x =\dfrac{ \dfrac{2}{3} \ tablespoons \times 1 \ dozen \ cookies}{3\dfrac{1}{2} dozen \ cookies}}[/tex]
[tex]\mathbf{x =\dfrac{ \dfrac{2}{3} \ tablespoons}{3\dfrac{1}{2} }}[/tex]
[tex]\mathbf{x =\dfrac{ \dfrac{2}{3} \ tablespoons}{\dfrac{7}{2} }}[/tex]
[tex]\mathbf{x = \dfrac{2}{3} \ tablespoons} \div {\dfrac{7}{2} }[/tex]
[tex]\mathbf{x = \dfrac{2}{3} \ tablespoons} \times {\dfrac{2}{7} }[/tex]
[tex]\mathbf{x = \dfrac{4}{21} \ tablespoons}}[/tex]
Therefore, the amount of tablespoons Stephaine will need to prepare a dozen cookies is: [tex]\mathbf{ = \dfrac{4}{21} \ tablespoons}}[/tex]
Learn more about solving fractions here:
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118 - [121 - (11 × 11) - (-4) - 3 - 9 - 2]
Answer:
Step-by-step explanation:
118 - [121 - ( 11 x 11 ) - ( - 4 ) - 3 - 9 - 2]
118 - [121 - 121 + 4 - 3 - 9 - 2]
118 - [4 - 3 - 9 - 2]
118 - [1 - 9 - 2]
118 - [-8 - 2]
118 - (-10) or 118 - 1(-10)
Negative times negative equals to positive.
118 + 10= 128
(-4,-3) and (2,5)
to draw a line Click a senment to
Answer:
This is a graph problem
Step-by-step explanation:
on a ten by ten graph this is the included file
(sorry for my bad lines, i had to do this with a mouse0
Answer:
see the attachment for a graph
Step-by-step explanation:
We can't tell what your instructions are. Many graphing tools will let you click on the locations of the points, then draw a line through them. The attached image is from one such tool.
__
If you want to plot this by hand, you do it essentially the same way: plot the two points and draw a line through them.
If you want to write an equation for the line, you can start with the 2-point form:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (5 -(-3))/(2 -(-4))(x -(-4)) -3
y = 8/6(x +4) -3
y = 4/3x +16/3 -9/3
y = 4/3x +7/3
__
Personally, about the only thing useful I find in this equation is that it tells you the slope is 4/3. You can determine the same thing by counting grid squares between the plotted points on the graph. The line goes up 8 for each 6 to the right, so slope = rise/run = 8/6 = 4/3.
put them in order0.25,1/9,6/5
Answer:
1/9 < 0.25 < 6/5
In an effort to prepare for retirement, Zeus decided to sell off some of his powers to Poseidon. Each box of powers contained 4 specific powers. Each box cost Zeus $250. If Zeus wanted to make a profit $900 per box, how much would have to charge Poseidon for each power?
Answer:
$287.50Step-by-step explanation:
From the problem statement the cost price per box is
$250.
And the box contains 4 specific powers, since Zeus plans to make $900 per box which contains 4 powers
we need to find the selling price
profit= selling price-cost price
let the selling price be x
900=x- 250
x=900+250
x= 1150
Selling price = $1150
Hence the unit cost of a specific power in a box that will see a profit of $900 per box is 1150/4= $287.50
Solve for x. 4(2x−3)=11x
Answer: x=-4
Step-by-step explanation:
Answer:
The correct answer is x = -4.
Step-by-step explanation:
To solve this problem, we should first use the distributive property to get rid of the parentheses on the left side of the equation. This is modeled below:
4(2x - 3) = 11x
8x - 12 = 11x
Then, we should subtract 8x from both sides to move all of the variable terms to the right side of the equation.
-12 = 3x
Finally, we can divide both sides by 3 to get the variable x completely alone on the right side of the equation.
-4 = x
Therefore, the answer to your question is x = -4.
Hope this helps!
the difference of 7 and a number n
Answer:
7 - n
Step-by-step explanation:
evaluate 70 divided by root 10 +root 20 +root 40 - root 80 , if root 10= 3.16 and root 5 =2.24
Answer:
18.0397079611
Step-by-step explanation:
Find the value of 2(1 + 4i) – (-2 + i)
Answer:
4+7i
Step-by-step explanation:
I need help I got this wrong
y = -2|x +1|
→ |x + 1| = -y/2
→ x+1 = y/2
and
x + 1 = -y/2
→ x + 1 belongs to R
→ x belongs to R
Domain = R
Range = y = -2(R)
→( -∞ , 0)
9 marbles your draw one what is the probability of drawing a red pen? You have 2 yellow 3 black and 4 reds
Answer:
4 / 9
Step-by-step explanation:
There are 4 reds out of 9 so the probability would be 4 out of 9 or 4 / 9.
Answer:
None
Step-by-step explanation:
Notice how it says red pens, not red marbles. There is no red pen
what is 700,000 is blank times as much as 700
Answer:
700,000 is 1000 times as much as 700
Step-by-step explanation:
700,000 divided by 700 is 1000
Answer:
The answer wouldn't be 100 but it would be 1000
Hoped I helped
Translating verbal expression: the sum of 15 and a number x.
Answer:
x+15 or 15+x
Step-by-step explanation:
it doesn't really matter since the commutative property.
sum = addition
15 = one term
number x = second term
One thousand students atende queen city elementary school 5/1,000 of the students were absent on Monday how can the number of students be written as a decimal
Answer:
Number of absent student in decimal = 0.005
Step-by-step explanation:
Given:
Number of student = 1,000
Number of absent student = 5 / 1,000
Find:
Write number of absent student in decimal
Computation:
Number of absent student = 5 / 1,000
Number of absent student in decimal = 5 / 1,000
Number of absent student in decimal = 0.005
A machine is used to fill each of several bags with 16 ounces of sugar. If the bag
weights 0.3 ounces more or less than the desired weight, the bag is rejected. Write
this equation to find the heaviest and lightest bag the machine will approve.
Answer: 15.7oz < M < 16.3oz
Step-by-step explanation:
The average mass of each bag will be 16oz
If the bag weighs 0.3 oz more or less than 16 oz, then it is rejected.
Then the extremes are:
16oz - 0.3oz = 15.7oz (this mas counts as a rejected one)
So we have that the mass of the bag must be larger than 15.7oz
M > 15.7oz
Now, the other extreme is:
16oz +0.3oz = 16.3oz (again, this a rejected mass)
Then the mass of the bag must be smaller than 16.3oz
M < 16.3oz
Then the range of the accepted mass of the bags is:
15.7oz < M < 16.3oz
A town built a scale model of the ancient construction of Stonehenge based on the original construction
found in Wiltshire, England. The scale of the model to the original is 5 to 9. The Altar Stone of the original
construction is 49 meters tall. Find the height of the model of the Altar Stone. Round your answer to the
nearest hundredth.
Answer:
27.22 m
Step-by-step explanation:
The scale factor is:
9/5= 1.8Height of the model according to scale factor:
49/1.8 = 27.22 mThe double number line below shows the price for a certain number of packs of popcorn at a store. Which statement correctly gives and explains the price of 9 packs of popcorn? Two number lines are shown one above the other. The number line on the top is labeled and marked at 2, 4, 6, 8. On the left of this number line is written Packs of Popcorn. The number line below it is labeled and marked at 14, 28, 42, 56. On the left of this number line is written Price of Packs in brackets dollar sign $18, because the price of each pack is $2 $63, because the price of each pack is $7 $108, because the price of each pack is $12 $126, because the price of each pack is $14
Answer: B) $63, because the price of each pack is $7
Step-by-step explanation:
Packs of Popcorn 2 4 6 8
Price of Packs 14 28 42 56
We can see that the rate is constant between each set of numbers in the table.
[tex]\dfrac{price}{packs}:\dfrac{14}{2}=\dfrac{28}{4}=\dfrac{42}{6}=\dfrac{56}{8}=\$7\ \text {per pack}[/tex]
$7 per pack x 9 packs = $63
Answer:
b
Step-by-step explanation:
A cylindrical well has a radius of 10 feet and a height of 12 feet. How many cubic feet of water will it take to fill the well?
Assume that π = 3.14 and round to the nearest tenth when necessary.
Answer:
3769.91
Step-by-step explanation:
volume = π[tex]r^{2}[/tex]h
volume = 3.14(10 * 10) (12)
volume = 3769.91
Amy regularly works 20 hours per week at Pook's Dry Cleaners from Monday through Friday. She earns $15.50 per hour and receives double-time pay for working Sundays. Next week she will work her regular 20 weekday hours, and an additional eight hours on Sunday. What will her total pay be for the week
Total amount she earn is $558
Multiply based problem:Given that;
Payment per hour on weekdays = $15.50
Payment per hour on Sunday = 2($15.50) = $31
Hour work on Sunday = 8 hour
Hour work on weekdays = 20 hour
Find:
Total amount she earn
Computation:
Total amount she earn = (20)(15.50) + (8)(31)
Total amount she earn = $310 + 248
Total amount she earn = $558
Find out more information about 'Total earning'.
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Use calculator to evaluate each expression. sin²36° + cos² 36°
Answer:
1 because sin2theta + cos2theta is equal to 1
Step-by-step explanation:
Simplify nine square root of two minus three square root of seven-plus square root of eight minus the square root of twenty-eight.
Answer:
= 11√2 - 5√7
Step-by-step explanation:
9√2 - 3√7 + √8 - √28
= 9√2 - 3√7 + 2√2 - 2√7
add similar elements
= 11√2 - 3√7 - 2√7
= 11√2 - 5√7
Answer:
11[tex]\sqrt{2}[/tex] - 5√7
Step-by-step explanation:
= 9[tex]\sqrt{2}[/tex] - 3[tex]\sqrt{7}[/tex] + 2√2 - 2[tex]\sqrt{7}[/tex]
= 11[tex]\sqrt{2}[/tex] - 3[tex]\sqrt{7}[/tex] - 2[tex]\sqrt{7}[/tex] add similar elements
= 11[tex]\sqrt{2}[/tex] - 5[tex]\sqrt{7}[/tex]
A fisherman positions his net to -8 relative to the surface of the water. how far does he need to raise the net to bring it to the surface of the water?
Answer: If i am correct the answer should be 9-10 because if it is -8 it takes 8 to bring it to 0 and it takes 9 to bring it to 1 and it takes 10 to bring it to 2.
Hope this helps!
X is a normally distributed random variable with mean 95 and standard deviation 3. What is the probability that X is between 89 and 98? Write your answer as a decimal rounded to the nearest thousandth.
Answer: 0.819
Step-by-step explanation:
Given: X is a normally distributed random variable with mean 95 and standard deviation 3.
Then, the probability that X is between 89 and 98 will be:
[tex]P(89<X<95)=P(\dfrac{89-95}{3}<\dfrac{X-mean}{standard\ deviation}<\dfrac{98-95}{3})\\\\=P(-2<Z<1)\ \ \ [Z=\dfrac{X-mean}{standard\ deviation}]\\\\ =P(Z<1)-(1-P(Z<2))\\\\= 0.8413- (1-0.9772)\ \ \ [\text{By p-value table}]\\\\= 0.8185\approx0.819[/tex]
Hence, the required probability = 0.819
Combine the like terms to create an equivalent expression:-12-6p-(-2)
Answer:
-10-6p
Step-by-step explanation:
-12-(-2)-6p = -12+2-6p= -10-6p
Answer:
-10-6p
Step-by-step explanation:
-12-6p-(-2)
-12-6p+2
-12+2-6p
-10-6p
Hope this helps ;) ❤❤❤
what is the square root of 35
Answer:
Step-by-step explanation:
the square root of of 35 is
5.916079783099616
5.9160797831
Step-by-step explanation:
You can round this to 6 as a whole number or 5.9 to 1dp.
ethan made a rectangular prism that has a volume of 16 cubic inches. What is one set of possible dimensions for ethans rectangular prism?
Answer:
0.5 inches by 0.5 inches by 64 inches
Step-by-step explanation:
Any three positive dimensions that have a product of 16 will be a set of possible dimensions. There are an infinite number of them. One such is listed above.
(If you have a list of answer choices, you can multiply them out to see which have a product of 16. We cannot guess what your choices might be.)
What is the slope of the graph of y = 12x - 197
Answer:
Slope = 12Step-by-step explanation:
Since the equation above is a linear graph
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation is
y = 12x - 197
Comparing the equation with the general equation above
Slope / m = 12Hope this helps you
3 Question 4 (1 point) Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the following polynomials? - 2x^3+13x^2+3x-54 2x^2-3 2x^3+12x-3x+54 O-2x^2+15 Question 5 (1 point) Find the area of the shaded region.
Answer:
-2x^3 +13x^2 +3x -54
Step-by-step explanation:
The product is found using the distributive property.
(x -6)(-2x^2 +x +9) = x(-2x^2 +x +9) -6(-2x^2 +x +9)
= -2x^3 +x^2 +9x +12x^2 -6x -54
= -2x^3 +13x^2 +3x -54
Convert 1month to hrs
Answer:
730.484397 Hours
Step-by-step explanation:
1 day =24 hours
30 days = 720 hours (30*24)
31 days = 744 hours (31*24)
Type a simplified fraction as an answer. PLEASE ANSWER I AM BEGGING!!!!!!
Answer:
0.06944444444 as a fraction equals 6944444444/100000000000
Liz earns a salary of $2,000 per month, plus a commission of 5% of her sales. She wants to earn at least $2,200 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.
Answer:
2000 + .05x >= 2200
Step-by-step explanation:
2000 is how much she already has
.05 is 5% of sales
x is the unknown amount of sales
2200 is how much she needs
The rate is just 5% increase.