A jeweler wants to combine a 60% gold alloy with a 20% gold alloy to make 1000 grams of 50% gold alloy. How many grams of 60% alloy should be used?
Answer:
750 grams of 60% alloy
Step-by-step explanation:
Define x = amount of 60% alloy and y = amount of 20% alloy
Equating the amounts of gold:
0.6x+0.2y = 1000(0.5)
Since there must be 1000 grams total:
x+y = 1000
Writing the 2 resulting equations together:
0.6x + 0.2y = 500
x + y = 1000
Multiply the first equation by 5:
3x + y = 2500
x + y = 1000
Subtracting the 2nd equation from the 1st:
2x = 1500
x = 750
Answer: 750 grams of 60% alloy
find x in this two examples
The values of x in both figures are 45 and 34, respectively.
The value of x in (a)Start by calculating the angle CAB using:
CAB + ABC + BCA = 180 --- angles in a triangle
The triangle is an isosceles triangle.
So, we have:
CAB + ABC + CAB = 180
Evaluate
2CAB + 25 + 75 = 180
This gives
CAB = 40
Calculate angle BEA using:
BEA + CAB + ABE = 180 --- angles in a triangle
This gives
BEA + 40 + 25 = 180
Evaluate
BEA = 115
Vertical angles are equal.
So, we have:
CED = BEA = 115
Calculate angle EDC using:
EDC + CED + DCE = 180 --- angles in a triangle
This gives
EDC + 115 + 30 = 180
Evaluate
EDC = 35
Opposite angles of quadrilaterals add up to 180.
So, we have:
x + EDC + ABC = 180
This gives
x + 35 + 25 + 75 = 180
Evaluate
x = 45
Hence, the value of x is 45
The value of x in (b)Start by calculating the angle DEC using:
DEC + CDE + EED = 180 --- angles in a triangle
This gives
DEC + 18 + 30 = 180
Evaluate
DEC = 132
Vertical angles are equal.
So, we have:
AEB = DEC = 112
Calculate angle EAB using:
EAB + AEB + ABE = 180 --- angles in a triangle
This gives
EAB + 112 + 42 = 180
Evaluate
EAB = 26
Triangle ABC is an isosceles triangle.
So, we have:
BCE = EAB = 26
Calculate angle CBE using:
CBE + BCE + CEB = 180 --- angles in a triangle
Where CEB = 180 - DEC --- angle on a straight line
So, we have:
CBE + BCE + 180 - DEC = 180
This gives
CBE + 26 + 180 - 112 = 180
Evaluate
CBE = 86
Opposite angles of quadrilaterals add up to 180.
So, we have:
x + EDC + ABC = 180
This gives
x + 18 + 42 + 86 = 180
Evaluate
x = 34
Hence, the value of x is 34
Note that the figures are labeled to ease explanation (see attachment)
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The tree diagram represents an
experiment consisting of two trials.
Answer:
P(D) = 0.65
Step-by-step explanation:
it's like following a path on map
each line is like a street length
First, it's 0.5 to A and then 0.6 to D.
Then, it's 0.5 to B and 0.7 to D.
P(D) = (0.5 times 0.6) + (0.5 times 0.7) =
P(D) = 0.30 + 0.35 = 0.65
A tree diagram is simply a way of representing a sequence of events.
Tree diagrams are particularly useful in probability since they record all possible outcomes in a clear and uncomplicated manner.
like chance of getting heads or tails on coin flips
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math is fun
A computer randomly picks a number from the group 20, 21, 22, 23, 24, 25, 26, 27. What is the probability the number is greater than 24 or less than 21?
Answer:
The answer you're looking for is .5
Step-by-step explanation:
Cause 20 is less than 21, and 25, 26, and 27 is larger than 24, and that's 4 numbers. There's 8 numbers in total, so your answer is 4/8. Divide that by 4, and you get 1/2. That's 50%, if you're thinking out of "1" then it would be ".5"
Answer: 0.5 or 50%
Numbers-Set {20, 21, 22, 23, 24, 25, 26, 27}
Total outcomes: 8
numbers greater than 24 are 25, 26, 27 - 3 numbers
number less than 21 is 20 - 1 number
Total favorable outcomes: 3 + 1 = 4
Probability = favorable outcomes/total outcomes = 4/8 = 0.5
We write the integers from 1 to 150 inclusive. What is the total number of digits that must be written?
Answer:
342
Step-by-step explanation:
First, there are 9 one-digit numbers, so 9x1=9. Next, there are 90 two-digit numbers, so 90x2=180. There are 51 numbers between 100-150, so 51x3=153. Now, we do 9+180+153=342 digits.
Answer:
Step-by-step explanation:
Solution
Break the numbers down by the number of digits in that sequence.
Number of digits 1 to 9 = 9
Number of digits from 10 to 99
There are 90 numbers between 10 and 99
Each has 2 digits
The total number of digits is 180
Number of digits from 100 to 150
There are 51 numbers between 100 and 150
Each has 3 digits
The total number of digits = 3*51 153 Add
Total number of digits = 342
Answer: 342
1.
Which of these is equivalent to
A. 2-19
1
B.
27
1
C.
2
23
D.
(2-4)²x2-5
2-6
-?
The solution to the given indices are 1/2^7, 11^4 and -1/64
Indices expressionGive the following indices expression
[tex]\frac{(2^{-4})^2\times 2^{-5}}{2^{-6}} \\[/tex]
This can be further simplified according to the law of indices as:
[tex]\frac{(2^{-4})^2\times 2^{-5}}{2^{-6}} =\frac{2^{-8-5}}{2^{-6}}[/tex]
Determine the result
[tex]\frac{2^{-8-5}}{2^{-6}} = 2^{-7} = 1/2^7[/tex]
For the indices expression
[tex]11^{-4}\times 11^{8} = 11^{-4+8}=11^4[/tex]
For the indices expression
[tex]-4^4\times4^{-7}\\=-(4^{4-7})\\= -4^{-3}\\=-1/4^3\\=-1/64[/tex]
Hence the solution to the given indices are 1/2^7, 11^4 and -1/64
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please help me with these questions????
Solve for x. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Answer: 13.3
Step-by-step explanation:
Since angles in a triangle add to 180 degrees, we know that in triangle UWV, [tex]m\angle U=50^{\circ}[/tex]. Thus, the triangles are similar by AA.
Since corresponding sides of similar triangles are proportional,
[tex]\frac{x}{24}=\frac{20}{36}\\x=(20/36)(24)=\boxed{13.3}[/tex]
PLEASE HELP!
Stephanie is running a 5K race. She wants to keep track of her time and her distance throughout the race. Identify the independent and dependent variable.
A. The independent variable is the length of the race. The dependent variable is the time.
B. The independent variable is the time. The dependent variable is the distance of the race.
C. The independent variable is the time. The dependent variable is Stephanie's distance.
D. The independent variable is Stephanie's distance. The dependent variable is the time.
Answer:
A
Step-by-step explanation:
It mentions she is running a 5K race. That means the distance of the race is fixed and will not change. That means :
Length of the race is the independent variable and the dependent variable is time.
Answer:
The correct answer is letter A
Which of the following tables represent a function?
A.
X 3 3 4 4
Y 2 -2 3 -3
B.
X 5 -5 5 -5
Y 2 2 8 8
C.
3 3 5 5
Y 4 5 6 7
D.
X 4 -4 5 -5
Y 2 2 3 3
The 2 because I am goated
Step-by-step explanation:
The hour and minute hands of a clock form an angle that constantly changes. During each hour of the day, the clock hands will form right, acute, and obtuse angles. Assume the hour hand points directly at the hour.Write a time of day when the two clock hands form each type of angle
The each type of angle are discussed below
What is angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
If the hours hand point to the hour 1 and minute hand at 12 then
angle will be acute.
If the hours hand point to the hour 2 and minute hand at 12 then
angle will be acute.
If the hours hand point to the hour 3 and minute hand at 12 then
angle will be right angle .
If the hours hand point to the hour 4 and minute hand at 12 then
angle will be obtuse.
If the hours hand point to the hour 5 and minute hand at 12 then
angle will be obtuse.
If the hours hand point to the hour 6 and minute hand at 12 then
angle will be straight angle .
If the hours hand point to the hour 7 and minute hand at 12 then
angle will be reflex.
If the hours hand point to the hour 8 and minute hand at 12 then
angle will be reflex.
If the hours hand point to the hour 9 and minute hand at 12 then
angle will be reflex.
If the hours hand point to the hour 10 and minute hand at 12 then
angle will be reflex.
If the hours hand point to the hour 11 and minute hand at 12 then
angle will be reflex.
If the hours hand point to the hour 12 and minute hand at 12 then
angle will be Complete angle.
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solve pls brainliest
Answer:
c = 22 (= -18)c = 23 (< -18 because - goes down).4 - c ≤ -18Step-by-step explanation:
Solve for 1st answer:
4 - c = -18= 4 - 22 = -18= 0 - 18 = -18 (Basically subtract 4 from 22)= -18c = 22Solve for 2nd answer:
4 - c < -18= 4 - 23 < -18= 0 - 19 < -18= -19c = 23Actual answer:
4 - c ≤ -18.Please help i been asking since yesterday
Calculate the perimeter of the triangle for problems
B. Calculate the area of the triangle for problems
Answer:
To calculate the perimeter of a triangle, add the length of its sides. For example, if a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c.
Answer:
1) 21.24cm
2)19.8ft
3)22.84mm [2.284cm]
Step-by-step explanation:
To calculate the perimeter of a triangle, add the length of its sides.
1) perimeter = 5.4+8.84+7
=> 5.4+8.84+7 = 21.24,
21.24cm
2) perimeter = 6.6 + 6.6 + 6.6 i.e 6.6* 3
=> 6.6 x 3 = 19.8
19.8ft
3) perimeter = 8.3 + 4.9 + 9.64
=> 8.3 + 4.9 + 9.64 = 22.84
22.84mm or 2.284cm
AREA
1) it's a right triangle,
=> Area of a right triangle = 1/2 × base × height.
=> here, base is a and height is b
=> a = 7, b = 5.4
=> now we multiply it,
=> 7*5.4 = 37.8
=> now multiply it with 1/2,
=> 1/2 x 37.8 = 37.8/2
=> 37.8/2 = 18.9
2) it's an equilateral triangle,
18.8620
the formula is √3 a^2/ 4
=> √3* 6.6^2/ 4
=> 75.4481/4 = 18.8620
3) 20.335
base = a = 8.3
height = b = 4.9
=> 8.3 * 4.9 = 40.68
=> 40.68/2 = 20.335
hope this helps:)
what is the sum of the ten thousand digit and the million's digit of 1,234,567,890
Answer: The ten thousand digit is 6. And the millions digit is 4. So the answer is 10.
Your school has a massive gym. It is 16 feet by 24 feet. You
want to figure out how many stations for the fundraiser you
can have. All the tables are squares but come in different
styles. What is the greatest square table you can use?
The greatest square that the gym would be able to use is the one that is of 19.6sq/m
How to solve for the squareThe area of a triangle = L*W
= 24 * 16
= 384
To get the greatest square that can be gotten from the size of the gym would be
√384 = 19.6
Hence we can conclude that the greatest square table that can be used is 19.6 feet
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Click on the solution set graphic until the correct one is displayed.
The given graph has no element in its solution set
How to determine the solution set?The given graph represents the graph of two different linear equations.
From the graph, we can see that both lines are parallel.
Parallel lines have no point of intersection.
And as such they do not have a solution
Hence, the given graph has no element in its solution set
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State the values of the angles below:
i) acute ∠AOB=
ii) acute ∠COD=
iii) acute ∠BOC=
iv) acute ∠AOD=
The values of the angles are
i) acute ∠AOB = 10°
ii) acute ∠COD = 25°
iii) acute ∠BOC = 40°
iv) acute ∠AOD = 75°
Calculating the measured of anglesFrom the question, we are to determine the measures of the angles
i) acute ∠AOB
From the given diagram,
∠AOB = 10°
ii) acute ∠COD
From the given diagram,
∠COD= 25°
iii) acute ∠BOC
From the diagram, we can write that
∠AOB+∠BOC+ ∠COD + ∠DOE = 90° (Angles at a right angle)
10° + ∠BOC + 25° + 15° = 90°
∠BOC + 50° = 90°
∠BOC = 90° - 50°
∠BOC = 40°
iv) acute ∠AOD
From the diagram,
∠AOD = ∠AOB + ∠BOC +∠COD
∠AOD = 10° + 40° + 25°
∠AOD = 75°
Hence, the values of the angles are
i) acute ∠AOB = 10°
ii) acute ∠COD = 25°
iii) acute ∠BOC = 40°
iv) acute ∠AOD = 75°
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Whoever answers correctly gets 100 points and BRAINLIEST
Item 18
A trash can is shaped like a right rectangular prism. It has a base area of 3 square feet and a height of 314 feet.
What is the volume of the trash can?
4 7/8 ft³
6 1/4ft³
9 3/4ft³
12 1/2 ft³
Answer:
I think you may have made a typo, as it is extremely unlikely that a trashcan is 314 feet tall. I will assume that you meant 3.14 feet.
Step-by-step explanation:
We already have the base, so we can already cut out one step. If we were not given the base, however, we would simply multiply the length by the width of the prism. Next we multiply the base by the height (3 X 3.14) to get the volume of the prism, 9.42 cubic feet. In the case that there was no typo, and 314 was the correct height, the volume would be 942 cubic feet.
Volume
Base area×Height3×314942ft³But unfortunately there is no option Present .
Let's correct question
make height =3.14ft
Volume=
9.42ftSome how nearly present is 9-3/4 ft³ i.e 9.75ft³
An oblique cylinder has a radius of 9 centimeters and a volume of 486 cubic centimeters. Use Cavalieri’s Principle to calculate the height of the solid.
6 meters
5 meters
8 meters
7 meters
Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.
Option A) is the correct answer.
What is the height of the oblique cylinder?From Cavalieri's principle, the volume of an oblique cylinder is expressed as;
V = base area × h
V = πr² × h
Given that;
Radius r = 9cmVolume of the oblique cylinder V = 486πcm³Height of the oblique cylinder h = ?V = πr² × h
486πcm³ = π × ( 9cm )² × h
486πcm³ = π × 81cm² × h
486πcm³ = 81πcm² × h
h = 486πcm³ / 81πcm²
h = 6cm
Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.
Option A) is the correct answer.
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Carlos has at most $40 to spend on food for a barbeque. He wants to buy hot dogs and hamburgers and then
Alls for each. Carlos has already spent $31.50 on the hot dogs and hamburgers. Let r represent the amount of
noney that Carlos can spend on the rolls.
Write and solve an inequality.
Answer:
$8.50
Step-by-step explanation:
I don't know what Alls are, but if Carlos insists, we can calculate how much he can spend on Alls with the expression:
($31.50) + r [tex]\leq[/tex] $40
This says the sum of what Carlos has already spent (hot dogs and hamburgers) plus the amount he spends on Alls (rolls?), r, must be equal to or less than the $40 he has allowed himself to spend.
($31.50) + r [tex]\leq[/tex] $40
r [tex]\leq[/tex] $40 - $31.50
r [tex]\leq[/tex] $8.50
divide $8 in the ratio 2:3
Answer:
3.2$ and 4.8$Step-by-step explanation:
divide $8 in the ratio 2:3
8 : (2 + 3) = 1.6 (unity)
1.6 * 2 = 3.2 (ratio2)
1.6 * 3 = 4.8 (ratio 3)
----------
3.2 + 4.8 = 8
the answer is good
I need the answer please!!!!
Answer:
53712.4
Step-by-step explanation:
10^3 = 1000
To multiply a decimal by 1000, move the decimal point in the multiplicand by three places to the right.
so, 53.7124 becomes 53712.4
hope this helps :)
a number, n is multiplied by -5/8 the product is -0.4 how would you set this up to solve
The value of n in the mathematical statement is 0.64
How to solve the equation?The statement is given as:
n multiplied by -5/8 equals -0.4
Rewrite properly as:
n * -5/8 = -0.4
Multiply both sides by -1
n * 5/8 = 0.4
Multiply both sides by 8/5
n = 0.64
Hence, the value of n in the mathematical statement is 0.64
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8). Triangle A'B'C' is formed when Triangle ABC is
translated right by 4 and up by 2. Which statement is
true?
Choose all that apply:
1.The angles of Triangle ABC and Triangle A'B'C' are the
same
2.Triangle A'B'C' is congruent to the original triangle.
3.The perimeter of Triangle ABC and Triangle A'B'C' are
the same.
Answer:
Answer 2 is correct because triangle ABC is the same as the original just that the position has changed
will get brainliest if answered right. no smart remarks
Answer:
A.g, a.f ,a.b
Step-by-step explanation:
Can somebody help me solve this inequality
Answer:
108 cm²
Step-by-step explanation:
The composite shape can be divided as shown into a trapezoid and a triangle. The area of the shape is the sum of the areas of those parts.
__
trapezoidThe top portion of the shape is marked as a trapezoid with bases 12 cm and 6 cm, and height 6 cm. Its area is given by ...
A = 1/2(b1 +b2)h
A = 1/2(12 cm +6 cm)(6 cm) = 1/2(18 cm)(6 cm) = 54 cm²
__
triangleThe bottom portion of the shape is marked as a triangle. The triangle has a base of 12 cm and a height of (15 cm -6 cm) = 9 cm. Its area is ...
A = 1/2bh
A = 1/2(12 cm)(9 cm) = 54 cm²
__
total areaThe area of the composite figure is the sum of the areas of its parts:
total area = trapezoid area + triangle area
total area = 54 cm² +54 cm² = 108 cm²
The area of the logo is 108 cm².
THIS IS ALGEBRA 2 CAN ANYONE SOLVE IT FOR ME?
Answer:
(a) 128 ft
(b) 4 s
(c) Vertex: (1, 144)
Step-by-step explanation:
Given information:
h(t) = height in feett = time in seconds after the launchPart (a)The height of the projectile at launch is the value of h(t) when t = 0 (the y-intercept).
Therefore, from inspection of the graph, the y-intercept is (0, 128).
So the height of the projectile at launch is 128 ft.
Part (b)The length of time it took for the projectile to land is the time from the beginning (when t = 0) to when the height is 0 (the x-intercept).
From inspection of the graph, the x-intercept is (4, 0)
So the length of time it took for the projectile to land is 4 s.
Part (c)The vertex is the turning point (minimum/maximum point).
Therefore, from inspection of the graph, the vertex is (1, 144).
The vertex represents the time and height at which the projectile was at its maximum. So at the time of 1 second, the projectile was at its maximum height of 144 ft.
Find the area of the blue region.
10 m
5.5 m
4m
A. 40 m²
B. 26.5 m²
C. 48 m²
D. 70 m²
7m
Answer:
the answer is 48m²
Step-by-step explanation:
mark me brainlist please!!
Is 10h - 10 equal to10 - 10h
Answer:no
Step-by-step explanation:
it’s equal to -10 + 10h by the commutativity of addition and subtraction
What is the slope of the line graphed below ? (3, 5); (0, 1); m = A 1/3 B. 3 C. - 3; - 1/3
Answer:
4/3 = m
Step-by-step explanation:
Since you have been given the value of two points, you can use the point-slope formula to find the slope. This general structure of this formula is:
y₁ - y₂ = m(x₁ - x₂)
In this equation, "m" represents the slope, "y₁" and "x₁" represent the values in the first point, and "y₂" and "x₂" represent the values in the second point,
To find the slope, substitute the values of each point into the formula and simplify.
Point 1: (3, 5)
Point 2: (0, 1)
y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form
5 - y₂ = m(3 - x₂) <----- Plug values from Point 1 into equation
5 - 1 = m(3 - 0) <----- Plug values from Point 2 into equation
4 = m(3 - 0) <----- Simplify left side
4 = m(3) <----- Simplify inside the parentheses
4/3 = m <----- Divide both sides by 3
I am almost certain that my math is correct, yet my answer does not match any of the answers given. Perhaps I have been given the wrong points? For instance, the answer would be A.) if the value of Point 2 was (0,4).