Answer:
84 ounces of pure gold
Step-by-step explanation:
Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?
Pure gold = 100% gold
Let the number of ounces of pure gold = x
Hence, we have the equation
40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces
= 0.4 × 60 + 1x = 0.75(60 + x)
= 24 + x = 45 + 0.75x
Collect like terms
x - 0.75x = 45 - 24
0.25x = 21
x = 21/0.25
x = 84 ounces
Therefore, we need 84 ounces of pure gold
84 ounces of pure gold must be added
The first is to write out the parameters
Jess has 60 ounces of alloy
40% of this alloy is pure gold
The number of ounces that should be added can be calculated as follows;
Let y represent the unknown
40/100(y)(60) + 100/100(y)= 75/100(60+y)
24 + y= 0.75(60+y)
25 + y= 45 + 0.75y
24 - 45= 0.75y -y
-21= -0.25y
y= 21/0.25
y= 84
Hence the number of ounces of pure gold required is 84 ounces
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6)a garden was square, but last year she made it makes or shortening one side 5 meters and the other 8 meters. If the area of the smaller garden is 180 m², then what was the area of her square garden
Answer:
let dimention of original garden be x
then (x-8)(x-5) = 180
x^2 -13x -140 = 0
(x-20)(x+7)=0
x= 20 or x = -7
x = 20
original area = (20)^2
= 400 m^2
last math question for today!!!!
Answer: Maybe search it up?...I cant rlly see what the question says
Step-by-step explanation:
Citlali was traveling at 60 miles per hour. she has already traveled 120 miles. To get to california which is 360 miles from home, and traveling at the same average speed, how many more hours will it take before he arrives in california?
Answer:
4 more hours
Step-by-step explanation:
First, you know that Citlali is traveling 60 miles per hour so he travels 60 miles every hour. He has already traveled 120 miles so you subtract 120 from 360 because that is the amount of miles Citlali now has to travel. Then, you know that she travels 60 miles per hour so the equation will be 60x=240. Then, you divide 60 in both sides and get x=4. Therefore, it will take four more hours until he arrives at California.
Hope this helps
Roberto will roll a number cube and flip a coin. The faces of the number cube are labeled 1 through 6. The coin can land on heads or tails. What is the probability that the number cube lands on an even number and the coin lands on tails?
Answer: There are 3 even numbers on the cube. There are 2 sides to a coin. there is a 1/2 chance of the cube landing on an even number. There is a 1/2 chance of the coin landing on tails.
There is a 1/4 chance of these events occurring together.
Liam had a stack of 50c coins. He spent €2.75 and had €1.75 left. How much did he have at the start?
Answer:
Total coins Liam at the start = 9
Total money Liam in the start = €4.5
Total money Liam in the start = 450 cent
Step-by-step explanation:
We know that
1€ = 100 cent
⇒1 cent = 0.01 €
⇒50 cent = 0.5€
Now,
Total money spent = €2.75
Total money left = € 1.75
So, Total money in the initial = Total money spent + Total money left
= €2.75 + €1.75 = €4.5
⇒Total money in the initial = €4.5
Now,
1€ = 100 cent
⇒€4.5 = 450 cent
Now,
As Liam has a stock of 50 cent coins
So, total coins Liam left with = 450/50 = 9 coins
What does the mode represent in a set of numbers?
Answer:
The mode is the number that shows up the most in the set.
Step-by-step explanation:
1 4 6 3 7 1 1 4 9 1
mode is 1
The mode represents the most frequent number that is, the number that occurs the highest number of times in a set of numbers.
Given that,
Define the term 'Mode'.
Since, The mode, in a set of numbers, represents the value that appears most frequently.
It is a measure of central tendency, providing insights into the most common or popular value within the data set.
For example, let's consider the set of numbers: 3, 5, 5, 1, 2, 4, 5, 3, 5, 6.
In this set, the mode is 5 because it appears more frequently than any other number.
So, The mode, in a set of numbers, represents the value that appears most frequently.
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What are the 3 steps to solving an inequality?
Answer:
1. Clear parentheses on both sides of the inequality and collect like terms.
2. Add or subtract terms so the variable is on one side and the constant is on the other side of the inequality sign.
3. Multiply and divide by whatever constants are attached to the variable.
Step-by-step explanation:
Hope this helps :)
Three prime numbers that can be multiplied to get 825
Answer:
Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.
Step-by-step explanation:
Hope this helps!
Answer: 3, 5, and 11
3 * 5 * 5 * 11
Step-by-step explanation:
Make a factor tree for 825
825
/ \
5 165
/ \
5 33
/ \
3 11
You purchase three $0.89 candy bars and you hand the cashier a $5 bill. You then tell them to keep the change as a top. What percent tip did you leave
Answer:
82.2%
Step-by-step explanation:
You gave them $4.11 extra and 4.11 of 5 is 82.2
Solve using the quadratic formula. x^2−10x+23=0
Answer:
x = 5 ± √ 2
Step-by-step explanation:
please tell me the answer to this
Answer:
Wow you got s lot of questions wrong
Step-by-step explanation:
How many triangles can a heptagon be divided into? 3 5 4 6
Answer:
5 triangles.
Step-by-step explanation:
Answer:
5 or 4
Step-by-step explanation:
The triangles on the grid below represent a translation.
On a coordinate plane, triangle A B C is shifted 5 units up to form triangle A prime B prime C prime.
Which translation is shown on the grid?
a horizontal translation only
a vertical translation only
a horizontal translation followed by a vertical translation
a vertical translation followed by a horizontal translation
Answer:
B. Vertical Translation only
Step-by-step explanation:
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The triangle ABC is vertically translated only. Then the correct option is B.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry.
Rotation does not change the size and shape of the geometry.
Translation does not change the size and shape of the geometry.
On a coordinate plane, triangle ABC is shifted 5 units up to form triangle A'B'C'.
The diagram is given below.
From the diagram, we can clearly observe that the triangle ABC is vertically translated only.
Then the correct option is B.
More about the transformation of geometry link is given below.
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Use simple interest to find the ending balance. $215 at 8% for 8 years
Answer:
$ 352.6
Step-by-step explanation:
SI = P (1 + rt)
= 215 [ 1 + (0.08) x 8]
= 215 (1 + 0.64)
= 215 (1.64)
= $ 352.6
16 + x = 22
Please help
Answer:
6
Step-by-step explanation:
All you have to do is subtract 16 from both sides!
16+x=22
-16 -16
x=6
I hope this helps, and have a great day! :)
The drama club sold tickets for the school play at $5 each. A ticket for the dress rehearsal cost $2. The club sold four times as many tickets for the play as for the dress rehearsal. The drama club collected $5148 for the tickets. How many tickets were sold for the dress rehearsal? How many tickets were sold in total?
ahoj odpoveď je 你好，答案是
Please answer quickly
Answer:
1 1/2
Step-by-step explanation:
i need help fast!! and i’m almost failing
Answer:
well I would love to help-where is the pic...?
solve the following
1) 2(x + 3) = x - 4
2) 4(5x-2) = 2(9x+3)
PLS HELP
Answer:
(1) [tex]x = -4[/tex] (2) [tex]x = 7[/tex]
Step-by-step explanation:
From the first equation:
[tex]2(x + 3) = x - 4\\\implies x = 2(x + 3) + 4\\\implies x = 2x + 6 + 4\\\implies x = 2x + 4\\\implies -4 = 2x - x\\\implies x = -4[/tex]
From the second equation,
[tex]4(5x - 2) = 2(9x + 3)\\\implies 20x - 8 = 18x +6\\\implies 20x - 18x - 8 -6 = 0\\\implies 2x -14 = 0\\\implies 2x = 14\\\implies x = \frac{14}{2} = 7[/tex]
Find the value of x in 2x – 13 = 5
Answer:
x=9
Step-by-step explanation:
So first, you have to add 13 to both sides to isolate the x so that will make the equation 2x=5+13. Add 5 and 13 to get 18. The equation will now be 2x=18. Divide both sides by 2 because we want x to equal one. This will make it x=18/2. Simplify that and get x=9
Hope this helps
Question
Find the value of x in 2x – 13 = 5 .
ANSWER
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication, and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Hence, this information ( x = 9 )
-Hope this helped.
What is the sum of the two fractions below in simplest form.
3 3/8 and 2 1/4
Answer:
5 5/8
Step-by-step explanation:
This is in the simplest form
What is the measure of DFG
28
62
118
152
Answer:
angle dfe = 28°(by vertical opposite angle)
2) What is the value of x? *
15.5
25.5
31
47
Step-by-step explanation:
2∠BDA = ∠BCA
2 (3x - 15)° = (2x + 32)°
6x - 30 = 2x + 32
6x - 2x = 32 + 30
4x = 62
x = 62/4
x = 15.5
#CMIIWi really need help with this
Find the area of the trapezoid !! Help pls!
Answer:
The area would be 80
divide 240 g in the ratio 5:3:4
What is the value of n that makes 10n = 50 true?
Answer:
n=5
Step-by-step explanation:
50 divided by 10 = 5
Answer:
n=5
Step-by-step explanation:
To figure out n we must divide 50 and 10.
50 ÷ 10 = 5
So n=5
1. Lynn is tracking the progress of her plant's growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. A. Find an equation that represents the plants height after any given number of days. B. How tall is the plant after 9 days?
Answer:
the anwer is C
Step-by-step explanation:
I hope its help
An item is regularly priced at $90. It is on sale for 40% off the regular price. How much (in dollars) is discounted from the regular price?
Answer: $36 is discounted from the regular price
Step-by-step explanation:
First, we need to take our given numbers
Originally $90
On sale for %40
Let's now use this equation
90(n)
n will equal 0.40 due to it being %40 off
90(0.40)
$36
Find the 7th term of the geometric progression which begins -6250, 1250, -250....
Answer:
a(7) = -0.4
Step-by-step explanation:
The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio. In this problem, a(1) = -6250. To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.
Then the formula for THIS geometric progression is
a(n) = -6250*(-0.2)^(n - 1).
Thus, the 7th term of THIS progression is
a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4
Answer:
a₇ = - [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
The nth term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then
a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]