Answer:
120 grams of 20% sugar and 480 grams of 10% sugar
Step-by-step explanation:
The reason that the answer is what it is is because the total of the sugar syrup must be 600 grams. It is 12% which means that its 1/5 20% and 4/5 10% and if you divide 600 by 5 you get 120 therefore 120 grams of 20% sugar is correct and for the rest just subtract 120 from 600 the get the answer.
There are 120 g of 20% sugar syrup and 480 grams of 10% of sugar syrup.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
A 20% sugar syrup is mixed with 10% sugar syrup.
And, The result is 600 g of 12% sugar syrup.
Now,
It is 12% which means that its 1/5 of 20%.
Hence, Amount of sugar grams = 600 / 5
= 120 grams
And, It is 12% which means that its 4/5 of 10%.
Hence, Amount of sugar grams = 600 / (4/5)
= 480 grams
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In the diagram the length of segment VS is 39 units what is the length of segment TV
Answer:
33
Step-by-step explanation:
Answer: B. 38
Step-by-step explanation:
Got it right, Edge 2022.
The average of the integers 4, 9, 10, 14, a, and b is 10. Find the sum of a and b.
Answer:
The answer is A = 14 B = 4 14 - 4 = 10 I think.
Step-by-step explanation:
It's not a sum its a difference because this is a subtraction problem I think.
plz i need help
In triangle ABC, the measure of ∠B is 90°, BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and F correspond to vertices A, B, and C, respectively, and each side of triangle DEF is 1/3 the length of the corresponding side of triangle ABC. What is the value of sinF?
Answer:
Sin F = 0.6
Step-by-step explanation:
From triangle ABC, applying Pythagoras theorem to determine the length AB;
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/AC/^{2}[/tex] = [tex]/BC/^{2}[/tex] + [tex]/AB/^{2}[/tex]
[tex]/20/^{2}[/tex] = [tex]/16/^{2}[/tex] + [tex]/AB/^{2}[/tex]
400 = 256 + [tex]/AB/^{2}[/tex]
[tex]/AB/^{2}[/tex] = 400 - 256
= 144
AB = [tex]\sqrt{144}[/tex]
= 12
AB = 12, AC = 20, BC = 16
Therefore since ΔABC ≅ ΔDEF, and each side of triangle DEF is [tex]\frac{1}{3}[/tex] the length of the corresponding side of triangle ABC.
Then,
DE = [tex]\frac{1}{3}[/tex]AB = [tex]\frac{1}{3}[/tex] x 12
= 4
EF = [tex]\frac{1}{3}[/tex]BC = [tex]\frac{1}{3}[/tex] x 16
= [tex]\frac{16}{3}[/tex]
DF = [tex]\frac{1}{3}[/tex]AC = [tex]\frac{1}{3}[/tex] x 20
= [tex]\frac{20}{3}[/tex]
Then, applying trigonometric function to ΔDEF, we have;
Sin F = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{DE}{DF}[/tex]
= 4 ÷ [tex]\frac{20}{3}[/tex]
= 4 x [tex]\frac{3}{20}[/tex]
= [tex]\frac{3}{5}[/tex]
Sin F = 0.6
Dominique paid $15.50 to join an online music service.If she purchases 10 songs each month at a cost of $0.99 per song,what will be the total amount she has spent after 8 months.
Answer:
94.7
Step-by-step explanation:
15.50+10*0.99*8
A student solves this problem by writing an equation. Which strategy could help check the student’s answer? Check that the sum of the final answer, 12, and 15 is 55. Check that the difference of 55 and the final answer is 12. Check that the sum of the final answer, 27, and 15 is 55. Check that the difference of 55 and the final answer is 15.
total = green marbles + red marbles + blue marbles
55 = 15 + 12 + blue marbles
55 = 27 + blue marbles
55 - 27 = blue marbles
28 = blue marbles
✧･ﾟ:Multiple Choice:･ﾟ✧
What is the slope of the line in the graph below?
A. -2
B. -1
C. 1
D. 2
° ♡ ₒ ♡ °
Thank you!
Answer:
-2
Step-by-step explanation:
slope is rise over run
-2/1
= -2
Answer:
-2
Step-by-step explanation:
Slope is rise over run -2/1
In Ms. Price's class, students were asked to name the sport that they watch most often on
television
8 students named baseball,
7 students named football,
5 students named basketball,
What is the ratio of the number of students who watched basketball most often to the total
number of students? *
11 point
Answer:
The ratio of number of students who watched basketball most often to the total number of students is 5 to 20 or 5:20
Step-by-step explanation:
Because 5 students named basketball as the spot the watch most often on television, while 8 of them said baseball and 7 said football. To find the total numbers of students we have to add all the students together so 8 + 7 is 15 and 15 + 5 is 20.
Hoped this help :)
When you divide a unit fraction by a whole number greater that 1, the quotient is always smaller than the unit fraction being divided. Why is this true? Use an example to support your answer.
Answer:
The servings that each of your friend received which is 1/8 is the quotient. And the servings that each of your friends got is smaller compared to the half of the round chocolate cake. Therefore, when dividing a unit fraction by a whole number, the quotient is always a unit fraction which is less than the dividend.
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
Let's consider dividing the unit fraction 1/3 by the whole number 2:
= 1/3 ÷ 2
= 1/3 x 1/2
= 1/6
We can see that the resulting quotient, 1/6, is smaller than the original unit fraction of 1/3.
This is because when we divide 1/3 by 2, we are essentially dividing 1 unit of 1/3 by 2 units.
This means that each of the resulting units is smaller than the original unit of 1/3 since it has been divided into more pieces.
In the example above, each resulting unit is 1/6, which is smaller than the original unit of 1/3.
This relationship holds true for any unit fraction and any whole number greater than 1.
The resulting quotient will always be smaller than the original unit fraction being divided.
Thus,
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
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PLEASE HELP ME FAST I NEED THE SOLUTION REALLY QUICK
Answer:
WHERE IS THE QUESTION
Step-by-step explanation:
The cost of purchasing gasoline varies directly with the number of gallons purchased. Kali paid $52.90 for 23 gallons of gas. What is the direct variation equation that relates y, the cost of a gasoline purchase, to x the number of gallons?
Answer:
y = 2.3x
Step-by-step explanation:
y = kx
52.9 = 23x
52.9 ÷ 23 = x
x = 2.3
A fighter pilot needs to make an emergency landing. He needs a clear space that is at least 600 m long to land safely. He is flying at an altitude of 300 m. He sees a small empty field. The angles of depression from the jet to the two ends of the field are 30° and 56° [5]
a) How long is the field?
b) Can he land safely?
(a) See the attached sketch. The jet makes a right triangle with the ground with hypotenuse y. Since the angle of depression is 56°, and the plane in which the jet is flying 300 m in the air is parallel with the ground, the angle of elevation in the right triangle is also 56°. Use the definition of sine to solve for y.
sin(56°) = (300 m)/y → y = (300 m)/sin(56°)
The uppermost angle in the blue triangle has measure equal to the difference between the two given angles of depression, 56° - 30° = 26°, and the rightmost angle is also 30° by the same reasoning as before. Then by the law of sines,
x/sin(26°) = y/sin(30°) → x = sin(26°)/sin(30°) y ≈ 317.2627 m
(b) No, the field is not long enough.
What should be done to both sides of the equation in order to solve -5 m = -40?
Multiply by -5.
Multiply by -40.
Divide by -5.
Divide by -40.
Answer:
I know for a fact that it is Devide by nagative 5
Step-by-step explanation:
The sum of the perimeters of 2 different squares is 68 feet, and the difference between their perimeters is 12 feet. What is the side length of
each square?
9514 1404 393
Answer:
10 ft7 ftStep-by-step explanation:
The side lengths are 1/4 of the perimeter, so we can say ...
the sum of side lengths is 68 ft/4 = 17 ft
the difference of side lengths is 12 ft/4 = 3 ft
Using x to represent the side length of the smaller square, we have ...
x + (x +3) = 17 . . . . . . the larger square has side length x+3
2x = 14 . . . . . . . . . subtract 3
x = 7 . . . . . . . . divide by 2
The side lengths of the squares are 7 feet and 10 feet.
a point with positive x coordinate in a meander Y coordinates is reflected over the y-axis which sentence describes the coordinate of the new point
Answer:
B. negative x-coordinate and negative y-coordinate
Three hundred cars drove over a bridge in 23 minutes. At that rate, how
many cars would drive over the bridge in 138 minutes?
Answer:
1800
Step-by-step explanation:
300 cars in 23 minutes so 300/25 = how many cars each minute
that equals 13.04347....
so on your calculator multiply that by 138 which gives you 1800 cars
Answer:
138/23×300=1800cars drove over the bridge
Step-by-step explanation:
Find the length of the third side to the nearest tenth. a=4 b=6 c=?
Answer:
[tex]2\sqrt{13}[/tex]
Step-by-step explanation:
What is the area of the base?
Answer:
40
Step-by-step explanation:
Here are the marks of a student in four exams. 65 80 76 69 The student takes a fifth exam. His mean mark for the five exams is 70 Work out his mark in the fifth exam
Answer:
mark of the fifth exam = 60
Step-by-step explanation:
Mean = sum of all marks / number of exam
Mean = 70
Number of exam = 5
Let x =
Mean = sum of all marks / number of exam
70 = (65 + 80 + 76 + 69 + x) / 5
Cross product
70 × 5 = (290 + x)
350 = 290 + x
350 - 290 = x
x = 60
mark of the fifth exam = 60
A.it is a function
B.it is not a function
Helppp me faststttttt plzzzzz
Answer:
Step-by-step explanation:
x + 25 + 4x + 10 = 180
5x + 35 = 180
5x = 145
x = 29
<1 = 29 + 25 = 54
<2= 4(29) + 10 = 116 + 10 = 126
What is evil and can trick you
Answer:
Wizard or the devil
Step-by-step explanation:
Answer:
The devil
[tex]el \: diablo[/tex]
a carton of ice cream sold for $2.20 was on sale for 45% off. what was the original price of the ice cream?
Answer:
It was originally sold at roughly $4.887
Step-by-step explanation:
1) 2.20/.45 ≈ 4.8
2) 4.8 x .45 = 2.16
3) 4.88 x .45 = 2.196
4) 4.887 x .45 = 2.19915
The original price of the ice cream is $4.8
What is the discount price?Discounting a product means offering it at a lower price than the list price.
Given that, a carton of ice cream sold for $2.20 was on sale for 45% off.
Let the original price of the carton be x.
x*45% = 2.20
x = 2.20*100/45
x = 4.8
Hence, the original price of the ice cream is $4.8
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Find AB
D
A
5x B 4x + 3 C
AB
Answer:
15 units
Step-by-step explanation:
ΔADC is an isosceles triangle because it has 2 equal sides
AB = BC (DB is median so cuts AC into 2 equal parts)
AB = 5x, BC = 4x + 3
5x = 4x + 3
5x - 4x = 4x - 4x + 3 (subtracting 4 from both sides)
x = 3
AB = 5x
= 5(3)
= 15 units
Happy to help :)
The length of [tex]AB[/tex] is required.
The length of [tex]AB=15[/tex]
Triangles[tex]AB=5x[/tex]
[tex]BC=4x+3[/tex]
The given triangle is an isosceles triangle with a line perpendicular to [tex]AC[/tex] passing through [tex]D[/tex].
This means that [tex]AB=BC[/tex]
[tex]5x=4x+3\\\Rightarrow 5x-4x=3\\\Rightarrow x=3[/tex]
[tex]AB=5x=5\times3\\\Rightarrow AB=15\ \text{units}[/tex]
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Riko wants to find the distance between the points (−2, −3) and (2, −5). His work is shown. StartAbsoluteValue negative 3 EndAbsoluteValue + StartAbsoluteValue negative 5 EndAbsoluteValue = 3 + 5 = 8. The distance is 8 units. Riko correct? Explain why or why not.
Answer:
Riko is wrong because she uses the wrong formula.
Step-by-step explanation:
Given the coordinate points (-2, -3) and (2, -5)
We are to find the distance between the two points
Using the formula:
D = √(x2-x1)²+(y2-y1)²
From the coordinates x1 = -2, y1 = -3, x2 = 2 and y2 = -5
Substitute
D = √(2-(-2))²+(-5-(-3))²
D= √(4)²+(-2)²
D = √16 + 4
D = √20
D = √4*√5
D = 2√5
This shows that Riko is wrong because she uses the wrong formula.
Answer:
No, Riko is not correct. The points do not have the same x-coordinates. If you connect the points, they do not form a horizontal or vertical line, so you cannot count spaces or use absolute value to find the distance.
Step-by-step explanation:
What equation could be written for this table?
Answer:
y = 3 + 1/2 * x
Step-by-step explanation:
Please help for:
5 − 8 −2n = −75
Answer:n
= − 5 , 5
Step-by-step explanation:
what is the original price when the discount is 25% and the sale price is $40
Answer:
the original price was $53.33
Step-by-step explanation:
$x ---- 100%
$40 ------- 75% (this is because 25% of it's just 75% of the actual price)
[tex]75\cdot x = 100\cdot 40\\\\75x = 4000\\\\x=53.33[/tex]
===============================================
Work Shown:
x = original price
25% = 25/100 = 0.25
25% of x = 0.25x = discount, or amount saved
final price = (original price) - (discount)
final price = (x) - (0.25x)
final price = 0.75x
0.75x = 40
x = 40/0.75
x = 53.333333
x = 53.33
The original price is $53.33
The discount, or amount saved, is 0.25*x = 0.25*53.33 = 13.3325 = 13.33 dollars.
This means the sale price is 53.33 - 13.33 = 40
We can also see this through computing 0.75*x = 0.75*53.33 = 39.9975 = 40, which matches with the given sale price.
Note how I'm rounding to the nearest penny when needed.
Is (1, 2) a solution to this system of equations? 10x + 4y = 18 x + 9y = 19
Answer:
Yes
Step-by-step explanation:
The intersection point of 10x+4y=18 and x+9y=19 is (1,2) on a graph.
Esma and Hunter were trying to solve the equation:
? + 8x = 22 - 8
They both agreed they should first subtract 2x and add 8 to both sides and rewrite the equation as
2? + 6x + 8 = 0.
Then Esma said, "I can complete the square. I can add 1 to both sides to rewrite this equation as
32 +63 +9 = 1, factor, and solve using square roots."
Hunter said, "I'll factor the left-hand side of the equation as (+ + 2)(x + 4) and solve using the zero
product property."
Whose solution strategy would work?
Choose 1 answer.
A. Only Esma's
B. Only Hunter's
C. Both
D. Neither
Answer: both esmas and hunters strategies work
Step-by-step explanation:
Answer:
both
Step-by-step explanation:
I have a very relaxing break playing Solitaire as often as I could. After playing 500 games, my success rate is 49%. How many games do I need to win to increase my success rate to 50%?
Answer:
5 more games to be won for the 50% success rate.
Step-by-step explanation:
Total number games played = 500
Number of successful games = 49% of 500
= 500 × [tex]\frac{49}{100}[/tex]
= 245
Number of successful games for the success of 50% = 500 × [tex]\frac{50}{100}[/tex]
= 250
Therefore, number of game you have to win more = 250 - 245
= 5 games
