600 mL corresponds to 15 teaspoons of sugar
That gives the ratio 600:15
Divide both parts of that ratio by 3 so we get to 200:5
Then multiply both parts by 10 to get 2000:50
This says 2000 mL, aka 2 liters, of soda has an estimated 50 teaspoons of sugar.
To convert from teaspoons to grams, we multiply by 4. This is directly from the equation of 1 teaspoon = 4 grams of sugar
So 50 teaspoons = 50*4 = 200 grams of sugar.
To go from grams to teaspoons, we divide by 4.
-----------------
To find the actual amount of sugar, you'll need to find a 2 liter bottle of soft drink and look at the nutrition facts label. You can search for the nutrition facts label online if you don't have a bottle near you. Keep in mind you're looking for the 2 liter plastic bottle version and NOT the 12 fluid-ounce can version.
Also, keep in mind that the nutrition facts label will list the amount of sugar per serving. This isn't the total sugar since it's just a small portion. Multiply the number of servings by the amount of sugar per serving.
Example: If there are 7 servings and 20 grams of sugar per serving, then that's a total of 7*20 = 140 grams of sugar total.
Side note: the amount of sugar will vary from brand to brand. However, they should all be in the same basic ballpark.
BE is the perpendicular bisector of AD. Find the value of each variable.
14. AC = 5x - 7 and DC = 8x - 28
15. m/ACB = (7y - 8)°
Answer:
ac =13x-35
m/abc = 7y-8
Step-by-step explanation:
in first to minus of same base
second it remain same because it can't be subracted with different base
A rectangular hotel room has a perimeter of 72 feet. Its area is 320 square feet. What are the dimensions of the room?
Answer
Step-by-step explanation:
Please help me it doesn't have to be quickly just help
Answer:
3 to the power of 3
Step-by-step explanation:
Answer:
1. 8x
2.4x^2
3.3^x
Step-by-step explanation:
I took the test
what is the answer for b?
Answer:
4
Step-by-step explanation:
2+2=4 dummy
please help math look in image 50 points
Answer:
1740
Step-by-step explanation:
Since the 10 has an exponent of 3, we can move the decimal of 1.74 to the left 3 times, which gives us 1740.
Answer:1740
Step-by-step explanation:
10x10=100
100x10=1000
1.74x1000=1740
HOPE THIS HELLPPPSSS : )
On a shopping trip, Jeffery buys 3 sweaters and 5 pairs of jeans for $160. Eric also purchases 6 sweaters and two pairs of jeans for the same price. What is the difference in price of a sweater and one pair of jeans?
Answer:
Step-by-step explanation:
It would most likely be 0, but I am not sure.
A portion of the periodic table is shown below. Which column of elements would be most likely to chemically combine with sodium in a 1:1 ratio?
Step-by-step explanation:
chlorine cl when combines with sodium na
Nacl will form so chlorine
If a={a,b,c,d,e,h}, b={b,c,d,f,g} and c {a,c,e,f,h,i}, then verify that
A) a-(b union c)=(a-b) intersection (a-c)
B) a intersection (b-c) =(a intersection b)-(a intersection c)
From given A={a,b,c,d,e,h}, B={b,c,d,f,g} and C= {a,c,e,f,h,i}
result related to union and intersection of sets are verified
A). A- (B∪C)=(A - B)∩ (A- C)
B). A∩(B-C) =(A∩B) - (A∩C)
As given,
A={a,b,c,d,e,h}
B={b,c,d,f,g}
C={a,c,e,f,h,i}
A). A- (B∪C)={a,b,c,d,e,h} - { a,b,c,d,e,f,g,h,i}
= { }
(A - B)∩ (A- C)={a,e,h} ∩ {b,d}
={ }
⇒A- (B∪C)=(A - B)∩ (A- C)
B) A∩(B-C)={a,b,c,d,e,h} ∩{b,d,g}
={b,d}
(A∩B) - (A∩C)={b,c,d} -{a,c,e}
={b,d}
⇒A∩(B-C)=(A∩B) -(A∩C)
Therefore, from given A={a,b,c,d,e,h}, B={b,c,d,f,g} and C= {a,c,e,f,h,i}
result related to union and intersection of sets are verified
A). A- (B∪C) =(A - B)∩ (A- C)
B). A∩(B-C)=(A∩B) - (A∩C)
The complete question is:
If A={a,b,c,d,e,h}, B={b,c,d,f,g} and C= {a,c,e,f,h,i}, then verify that
A). A- (B∪C) = (A - B)∩ (A- C)
B). A∩(B-C) = (A∩B) - (A∩C)
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Important Please Help!!!!
Answer:
angle bisector
Step-by-step explanation:
the construction shows an angle bisector.
the line EG bisects ∠ FED
Given the equation of y-1=-9/2(x+7) what is the slope of any line parallel? M= blank
Answer:
Step-by-step explanation:
y - 1 = -9/2 (x + 7)
Distribute -9/2:
y - 1 = -9/2x - 63/2
Add 1 on both sides to isolate y:
(y - 1) + 1 = (-9/2x - 63/2) + 1
y = -9/2x -61/2
A line parallel to another has the same slope as that line so both slopes are -9/2.
M = -9/2
four points, a, b, c, and d, lie on a circle having a circumference of 17 units. b is 5 units counterclockwise from a. c is 3 units clockwise from a. d is 11 units clockwise from a and 6 units counterclockwise from a. what is the order of the points, starting with a and going clockwise around the circle?
The order of the points starting with a and going clockwise around the circle is;
a ⇒ c ⇒d ⇒b
Here,
Four points, a, b, c, and d, lie on a circle having a circumference of 17 units.
b is 5 units counterclockwise from a.
c is 3 units clockwise from a.
d is 11 units clockwise from a and 6 units counterclockwise from a.
We have to find, The order of the points starting with a and going clockwise around the circle.
What is Circumference of circle?
The circumference is the distance around a circle or any curved geometrical shape.
Now,
b is 5 units counterclockwise from a.
b ⇒ a
c is 3 units clockwise from a.
b ⇒ a ⇒ c
d is 11 units clockwise from a and 6 units counterclockwise from a.
d ⇒ b ⇒a ⇒ c ⇒d
So, when we draw all points on circle we get;
The order of the points starting with a and going clockwise around the circle is;
a ⇒ c ⇒d ⇒b
This is shown in figure.
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The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -2 ≤ x ≤ 3? -10 Go -8 -6 -4 -2 100 80 60 20 -20 -40 -60 -80 -100 2 8 10
Answer:
1 + 1 = 2 a i esta la respjesta
Step-by-step explanation:jijiji
Type the correct answer in each box. Use numerals instead of words.
This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?
The equation of the parabola in vertex form is y + 8 = 2 · (x - 2)². The factored form of the equation of the parabola is y = 2 · x · (x - 4).
What is the equation of the parabola seen in a graph?
Herein we find a representation of a quadratic function on a Cartesian plane, whose formula in vertex form is presented below:
y - k = C · (x - h)²
Where:
(h, k) - Vertex of the parabola.C - Vertex constantBy direct inspection we find that the equation of the parabola has a vertex at (h, k) = (2, - 8) and the point (x, y) = (4, 0). Then, the vertex constant is:
C = (y - k) / (x - h)²
C = (0 + 8) / (4 - 2)²
C = 8 / 4
C = 2
Then, the equation of the parabola in vertex form is y + 8 = 2 · (x - 2)². The factored form of the equation is determined by algebra:
y + 8 = 2 · (x - 2)²
y = 2 · (x - 2)² - 8
y = 2 · (x² - 4 · x + 4) - 8
y = 2 · x² - 8 · x + 8 - 8
y = 2 · x² - 8 · x
y = 2 · x · (x - 4)
The factored form of the equation of the parabola is y = 2 · x · (x - 4).
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33/25 as a decimal rounded to the nearest tenth
Answer:1.3
Step-by-step explanation:
33/22=1.32
Round to nearest 10th
1.32=1.3
the teacher separated her class of fifty-eight students into two groups. one group has 6 more than thrice as many students as the other group. how many students are in each group?
Students in one group is 45
Students in another group is 13
teacher separated her class of fifty-eight students into two groups
Number of groups =2
one group has 6 more than thrice as many students as the other group
Let one group has x students
another group has y students
x+ y = 58 . . . . . 1
x= 6+3y
Substitute x= 6+3y in . . . 1
6+3y +y = 58
4y=52
y=13
x=6+3y=6+3(13)
= 6+39
= 45
Students in one group is 45
Students in another group is 13
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PLEASE PLEASE PLEASE ANSWER CONFIDENTLY
Evaluate the expression when p = 5
-|-3p|
Answer:
-15
Step-by-step explanation:
p = 5
- | -3(5 | = - | -15 | = - | 15 | = -15
The quotient of 24 and d
Answer:
The quotient of 24 and d would be [tex]\frac{24}{d}[/tex]
Step-by-step explanation:
Quotient is the answer of a division problem. So, you would divide 24 by d.
HELP AGAIN PLEASE ITS DUE SOON
Which series of transformations shows that pentagon A is congruent to pentagon B?
A.
Reflect pentagon A over the y-axis, rotate it 180° clockwise about the origin, and translate it 3 units up.
B.
Rotate pentagon A 90° clockwise about the point (1, 1), reflect it over the x-axis, and translate it 3 units to the left.
C.
Rotate pentagon A 90° clockwise about the origin, reflect it over the x-axis, and translate it 6 units to the left.
D.
Reflect pentagon A over the y-axis and translate it 2 units to the left and 8 units up.
Using translation concepts, the series of transformations that shows that pentagon A is congruent to pentagon B is:
B. Rotate pentagon A 90° clockwise about the point (1, 1), reflect it over the x-axis, and translate it 3 units to the left.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, we have that the Pentagons have different orientations, meaning that it was rotated, eliminating options A and D.
For the vertices to reach the position they reached in Pentagon B, there had to be a shift left, and before the shift left, the Pentagon must have been entirely at the fourth quadrant, meaning that it was reflected about the point (1,1), and option B is correct.
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What is the remainder for 3,167 / 28
45 POINTS!!!
Answer:
113 with a remainder of 3
Step-by-step explanation:
At 9:00 AM the temperature was -15°C in Anchorage. The
proceeded to rise 4°C each hour. What was the
at 2:00PM.
CAN SOMEONE HELP ME WITH THIS QUESTION
Answer:
5°C
Step-by-step explanation:
(add 4 each hour)
9AM:-15°C
10AM:-11°C
11AM:-7°C
12AM:-3°C
1AM:1°C
2AM:5°C
8. Mason read 12 books in 4 months. If he reads at a
constant rate, how many books did he read each month?
Give your answer as a whole number or a FRACTION in
simplest form.
Fill in the missing amounts (do not use commas or decimal points.)
Here are the missing amounts :
A = $2100
B = $300
C = $50
D = $270
E = $945
F = $1,345
What are the missing amounts?
Receipts represents income to the company. It is a source of cash inflow. Expenses represents cash outflow. Net cash flow is the difference between receipts and expenses. Cumulate balance is the sum of the net cash flow of the previous periods and the net cash flow of the present period.
A = Net cash flow + expenses
1975 + 125 = 2100
B = Receipts - expense
$2225 - $1925 = $300
C = Receipts - expense
$2050 - $2000 = $50
D = Net cash flow = $270
E = cumulative balance in April + net cash flow in May
$570 + $375 = $945
F = = cumulative balance in July + net cash flow in August
$1120 + $225 = $1,345
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Watch help video
Adriel drove 216 miles in 8 hours. If he continued at the same rate, how far would he
travel in 3 hours?
Answer:
miles Submit Answer
SAMSUNG
attempt 1 out of 2
Answer:
bkjjb.l kkllkk kk. lkm j. km j. kk. k mgdv. nutdc
find the absolute value |-2|
Answer:
2.
Step-by-step explanation:
The absolute value is the distance between a number and zero. The distance between −2 and 0 is 2.
Hope this helps.
Answer:
2
Step-by-step explanation:
Let's solve the equation step by step
|-2|
= 2
The width of a rectangle measures (10p - 9q) centimeters, and its length measures
(7p+8q) centimeters. Which expression represents the perimeter, in centimeters,
of the rectangle?
The expression represents the perimeter, in centimeters, of the rectangle is P = 30q + 2p
Perimeter of a rectangleThe formula for calculating the perimeter of a rectangle is expressed as:
P = 2(l+w)
l = (7p+8q) cm
w = (10p - 9q) cm
Substitute
P = 2(7p+8q+10p-9q)
P = 2(15q+p)
P = 30q + 2p
Hence the expression represents the perimeter, in centimeters, of the rectangle is P = 30q + 2p
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Convert 5.764764764 ... to a rational expression in the form of a over b , where b ≠ 0
If x = 5.764764764…, then 1000x = 5764.764764764…, so that
1000x - x = 5764.764764764… - 5.764764764…
999x = 5759
x = 5759/999
Do you think it would be better to use breaking apart in the distributive property or compensation to find the product of five times 328? explain why and show how to find the product.
Yes it would be better to use breaking apart in the distributive property or compensation to find the product of 5 x 328 .
what is distributive property?
This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding or substracting the results together .like in subtraction A(B-C)= AB-AC
In other words, an equation of the type A (B+C) can be solved as A (B+C) AB+AC in accordance with the distributive property.
This characteristic also holds for subtraction.
5 x 328
= 5(300+28)
= 5 x 300 + 5 x 28
= 1500 + 140
= 1640
Hence, it would be better to use breaking apart in the distributive property or compensation to find the product of 5 x 328 .
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The diameter of a cylindrical container is 22cm. If the volume of the container is 1331cm³, calculate its height.
Answer:
3.5cm
Step-by-step explanation:
Vol=πr²h
Transposing for h,=vol÷πr²
where r=22/2=11cm and taking π=3.142
h=1331/(3.142×(11)²)=3.5cm
pls help shading inequalities
The three inequalities that satisfies all the points in the unshaded region of the graph of inequalities are;
The three inequalities that satisfies all the points in the unshaded region are;
x ≤ 5y ≤ 102•x + y ≥ 10What are the inequality notation that can be used to represent the unshaded region.1) The inequality that represents the unshaded region to the left of the vertical dashed line at x = 5 is found as follows;
A region to the left of a vertical dashed line in inequality is represented by the less than or equal to symbol, ≤. The region to the right is represented by ≥
The region to the left of the dashed line, x = 5 is therefore;
x ≤ 5.2) The region located below the dashed line y = 10 is represented by the inequality;
y ≤ 103) The slope, m, of the dashed line that extends from point (0, 10) to point (5, 0) is given by the equation;
m = (0 - 10)/(5 - 0) = -2
The equation of the line is therefore;
y - 0 = -2 × (x - 5) = -2•x + 10
y = -2•x + 10
Which gives;
y + 2•x = 10
2•x + y = 10
The inequality that represents the region to the right of the line 2•x + y = 10 is therefore;
2•x + y ≥ 10
The compound inequality, that represents the unshaded region is therefore;
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