Given :
The ratio of the amount of gold to the amount of silver is 2:5.
To Find :
The weight of gold in the alloy, if there are 80 g of silver.
Solution :
Let, amount of gold is x.
So, the ratio of amount of gold and silver is :
[tex]\dfrac{x}{80}=\dfrac{2}{5}\\\\x=32\ g[/tex]
Therefore, the weight of gold in the alloy is 32 g.
Hence, this is the required solution.
Answer:
32
Step-by-step explanation:
do 80÷5=16 to get unit. Then do 16*2=32
A total of 716 tickets were sold for the school play. They were either adult tickets or student tickets. There were 66 more student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
325
Step-by-step explanation:
Let the number of adult tickets sold be x
Therefore, number of students tickets sold = x + 66
Since,
Number of adult tickets + number of student tickets = 716
Therefore,
x + x + 66 = 716
2x + 66 = 716
2x = 716 - 66
2x = 650
x = 650/2
x = 325
Hence, 325 adult tickets were sold.
state A,B and C have hosted a certain sporting event a total of 75 times. state A had hosted the sporting event 9 more times then state C. together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted. determine the number of times this sporting even was hosted by each of the three states
Answer:
Step-by-step explanation:
Total events = 75
A + B + C = 75 --------------(I)
State A had hosted the sporting event 9 more times then state C.
A = C + 9 ---------------------(II)
Together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted.
A + C = 4B + 5 ---------------------(III)
Substitute A = C + 9 in (III)
C + 9 + C = 4B + 5
2C + 4 = 4B + 5
2C = 4B + 5 - 9
2C = 4B - 4
Divide the whole equation by 2
2C/2 = 4B/2 - 4/2
C = 2B - 2 -------------(a)
Plugin the C = 2B - 2 in (II)
A = C + 9
A = 2B - 2 + 9
A = 2B + 7 ------------------(b)
Plugin the value of A & C from (a) & (b) in equation (I)
A + B + C = 75
2B + 7 + B + 2B - 2 = 75
Add the like terms
2B + B + 2B + 7 - 2 = 75
5B + 5 = 75
5B = 75 - 5
5B = 70
B = 70/5
B = 14
Plug in B value in equation (a)
C = 2B - 2
C = 2*14 -2
= 28 - 2
C = 26
Plugin B value in equation (b)
A = 2B + 7
= 2*14 + 7
= 28 + 7
A = 35
State A has hosted 35 times
State B has hosted 14 times
State C has hosted 26 times
What’s the slope of (6, 12) and (-6,-2)
Answer:
m= 7 / 6
Step-by-step explanation:
we need to start out by plugging in the integers into the formula which is the following:
m= y2 - y1 / x2 - x1
m= -2 - 12 / -6 - 6
then we begin to solve
m= -14 / -12
this is not in its simplest form, so we simplify it
(in this case I simplified by 2)
m= -7 / -6
and because two negatives will give you a positive, your final answer is
m= 7 / 6
Suppose PR = 54, solve for QR
4x-1
3x-1
P
R
Answer:
[tex] QR = 23 [/tex]
Step-by-step explanation:
P, A, and R are collinear.
PR = 54
[tex] PQ = 4x - 1 [/tex]
[tex] QR = 3x - 1 [/tex]
To solve for the numerical length of PR, let's generate an equation to find the value of x.
According to the segment addition postulate:
[tex] PQ + QR = PR [/tex]
[tex] (4x - 1) + (3x - 1) = 54 [/tex] (substitution)
Solve for x
[tex] 4x - 1 + 3x - 1 = 54 [/tex]
Combine like terms
[tex] 4x + 3x - 1 - 1 = 54 [/tex]
[tex] 7x - 2 = 54 [/tex]
Add 2 to both sides
[tex] 7x - 2 + 2 = 54 + 2 [/tex]
[tex] 7x = 56 [/tex]
Divide both sides by 7
[tex] \frac{7x}{7} = \frac{56}{7} [/tex]
[tex] x = 8 [/tex]
[tex] QR = 3x - 1 [/tex]
Plug in the value of x into the equation
[tex] QR = 3(8) - 1 = 24 - 1 [/tex]
[tex] QR = 23 [/tex]
Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 112 minutes. Billy could mow the lawn by himself in 15 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by himself?
Answer:
97 minutes
Step-by-step explanation:
For the right triangles below, find the exact values of the side lengths b and d.
If necessary, write your responses in simplified radical form.
60°
30°
5
b
=b
45°
45°
d
7
=d
Answer:
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below;
According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"
According to SOH, CAH, TOA;
tanθ = opposite/adjacent (using TOA)
Given;
θ = 30°, opposite = 5 and adjacent = b
tan30° = 5/b
b = 5/tan30°
b = 5/(1/√3)
b = 5*√3/1
b = 5√3
According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7
Using SOH;
sinθ = opposite/hypotenuse
Given;
θ = 45°, opposite = d and adjacent = 7
sin45° = d/7
d = 7sin45°
d = 7(1/√2)
d = 7/√2
Rationalize 7/√2
= 7/√2*√2/√2
=7√2/2
Hence the value of d is 7√2/2
g the order of operations.
3(4) + 4(5)
Answer:
16
Step-by-step explanation:
3(4) + 4 (5)
4+5+9
3+4=7
7+9
16
Find the equation of the line using the point-slope formula. Write the final equation using slope- intercept form. 6 (1,2) with a slope of - 7 Enter the exact answer.
Answer:
y = -7x + 9
Step-by-step explanation:
Point-slope form:
y - 2 = -7 (x -1)
y - 2 = -7x + 7
y - 2 + 2 = -7x + 7 +2
y = -7x + 9
Using distributive property simplify 4 (3x + 7)
Answer:
12x+28 I think
Step-by-step explanation:
4•3x+7
12x+(4•7)
12x+28
Answer:
[tex]\huge\boxed{\boxed{12x+28}}[/tex]
Step-by-step explanation:
Hello.
The Distributive Property states that
a(b+c)=ab+ac, where a, b, and c can be constants (numbers) or variables (letters).
Now that we know the formula, it's time to simplify! :)
The expression is:
4(3x+7)
Multiply 4 times 3x and 4 times 7:
4×3x=12x
4×7=28
Put the terms together:
12x+28
Can we simplify this expression? No, because 12x and 28 are not like terms.
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
Jenkins wants to draw a scale drawing of a tree in his yard . The scale of his model is 6in to 12ft . If his drawing is 3 in tall, how tall is the rela tree
5. A turtle dives towards deeper water at a rate of 8 inches per second. It continues for a total of 16 seconds.
Which expression represents this situation?
A 16(-8)
B. -16(-8)
C. 16 / 8 ( / means division)
D. 16 / (-8) ( / means division)
Answer: B
Step-by-step explanation:
To find out how far the turtle went in 16 seconds you have to multiply 16 and -8
Answer:
I have the same question on test and answer is B
Step-by-step explanation:
6(2x-3)-8=-2
Solve for x! Tyy
Answer:
x=2
Step-by-step explanation:
use distributive property for the first part the solve like usual
hope this helped
6(2x -3) - 8 = -2 (remove the parantheses)
12x - 18 - 8 = -2 (calculate)
12x - 26 = -2 (move the constant to the right)
12x = -2 + 26 (calculate)
12x = 24 (divide both sides)
x = 2
Solve 2b+4=3b+1 for b
Answer:
b= 3
Step-by-step explanation:
2b +4 = 3b +1
-2b. -1
b = 3
express the mass 6,200,000 kilograms using scientific notation in kilograms, and then in grams.
Answer:
620000000
Step-by-step explanation: 6.2 10^8
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form,62*10^5 is the scientific notation of 6,200,000 kilograms
We need to express 6,200,000 kilograms using scientific notation in kilograms.
What is scientific notation?Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
We need to express 6,200,000 kilograms into scientific notation
The format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10.
Now 62*10^5 is the required scientific notation.
Therefore 62*10^5 is scientific notation of 6,200,000 kilograms.
To learn more on scientific notation click here:https://brainly.com/question/1705769
#SPJ2
Which statement is true about the end behavior of the graft function as the X values goes to positive infinity the functions value goes to negative infinity
2. Graph the system of inequalities. Make sure your solution area is clear in your graph.
Then name a Solution Point____________ & a Non-Solution Point_____________
y ≥ 2x - 1
y ≥ -4
y < -x + 2
Fun fact:
The longest word in any of the major English language dictionaries is pneumonoultramicroscopicsilicovolcanoconiosis, a word that refers to a lung disease contracted from the inhalation of very fine silica particles, specifically from a volcano; medically, it is the same as silicosis.
Cool right? Here are more fun facts.
1 “I am” is the shortest complete sentence in the English language.
2 Supercalifragilisticexpialidocious (*breath*) is NOT the longest word in English.
Like that?
Banging your head against a wall for one hour burns 150 calories.
In Switzerland it is illegal to own just one guinea pig.
59 in = how many feet and inches
Answer:
feet=4.91667
inches=708
Step-by-step explanation:
Answer:
4 ft. 11 in.
Step-by-step explanation:
Step 1:
59 ÷ 12
Step 2:
4 r 11
Answer:
4 ft. 11 in.
Hope This Helps :)
What number can be added to -8 To get a sum of 0
Answer:
8.
Step-by-step explanation:
-8+8=0
A total of d dollars was donated to 4 charities. Each charity received $375. Which equation can be solved to find the total amount of money donated?
Answer:
If each charity has received $375 and there is 4 charities, the equation should look like this...
$375 x 4 = d
If you are looking how much was donated all together, the answer is:
$1500 dollars in total was donated.
What is the difference of -9 and -6?
Answer:
-3
Step-by-step explanation:
-6 - 3 = -9
Can somebody help me with math just text in comments below 360 times 4 + 77= ?
Answer:
1,517
Step-by-step explanation:
360 times 4 equals 1440. 1440 + 77 is 1517.
31. One February day, the low temperature in
St. Paul, MN Was - 170. Over a period of three
hours, the temperature rose 5°F per hour.
After three hours, what the was the
temperature?
Answer:
-2°F
Step-by-step explanation:
The starting temperature was -17°F. If the temperature rose 5°F per hour, and we're looking for the temperature after three hours, the change in temperature was +15°F.
-17 + 15 = -2°F
ASAP!!! Please help! Due in 15 mins!!!! Help me plsss!!!!
Which equation represents the function described by this table?
A) f (x) = x + 7
B) f(x) = -7x
C) f (x) = x - 7
D) f (x) =7x
Find the unknown length y in the pair of similar triangles.
Similar triangles have a scale factor that determine the length of each side.
15 / 7.5 = 2
The scale factor = 2
17 / 2 = 8.5
y = 8.5
Find the zeros of the function f(x) = -1.6x2 + 18x – 47 to the nearest
hundredth.
Answer:
Step-by-step explanation:
On a marathon course Amanda is 2mile behind Beverley and chad is 1 mile ahead of Beverly how far apart are Amanda and chad?
To qualify for a gold status at awesome airlines one must fly less than 35200 but at least 17600 miles each year if Casey takes a 800 miles round trip flight when visiting his parents how many times does Casey need to visit his parents each year to attain gold status
hello how do I know when ratios are equivalent and when they are not?
In ΔXYZ, the measure of ∠Z=90°, YX = 37, ZY = 12, and XZ = 35. What ratio represents the sine of ∠X?
Answer:
12/37
Step-by-step explanation:
Multiple
1. Which of the following is Eular's formula?
OE-V + F = 2
OV-E+ F = 2
Answer:
see explanation
Step-by-step explanation:
Euler's formula for polyhedra is
V- E + F = 2
where V is number of vertices, E number of edges and F number of faces