We let x = pounds of alloy that is 15% tin
The problem is modeled by the equation:
0.11(30) = 0.15x + 0.09(30-x)
The equation means that the amount of tin does not change. Also, the amount of alloy (total weight - weight of 15% alloy) is (30-x).
Solving for x:
3.3 = 0.15x +2.7 - 0.09x
.06x = 0.6
x = 10 lbs
30-10 = 20 lbs
10 lbs. of the 15% alloy and 20 lbs. of the 9% alloy
Convert 192 cups to gallons
Answer:12 gallons
Step-by-step explanation:
There are 16 cups in a gallon 16 cups =1 gallon so 192/16 is 12
Answer:
12 gallons
Step-by-step explanation:
To convert cups to gallons you must divide the volume (192) by 16.
192/16 = 12
12 gallons
Hope this helps:)
How much should John get back after paying for purchases totaling $5.45
when he pays $10.00
Pls answerrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
I dont know
Step-by-step explanation:
Sry but i dont know and it wont let me click out of add my answer thing
Please assist with this question.
Answer:
D. [tex]\frac{-19}{74} +\frac{71}{74} i[/tex]
Step-by-step explanation:
[tex]\frac{-8+3i}{5+7i} (\frac{5-7i}{5-7i} )[/tex]
[tex]\frac{-40+56i+15i-21i^2}{25-35i+35i-49i^2}[/tex]
[tex]\frac{-40+71i-21(-1)}{25-49(-1)}[/tex]
[tex]\frac{-40+21+71i}{25+49}[/tex]
[tex]\frac{-19+71i}{74}[/tex]
[tex]\frac{-19}{74} +\frac{71}{74} i[/tex]
I hope this helps and God bless!
∠A and \angle B∠B are vertical angles. If m\angle A=(3x+3)^{\circ}∠A=(3x+3) ∘ and m\angle B=(4x-8)^{\circ}∠B=(4x−8) ∘ , then find the value of x.
The answer to this question is 115 but how please leave an explanation
Answer: 11
Step-by-step explanation:
At 6 a.m. the temperature was -8°C. At noon the temperature was 3°C. What was the change of temperature between 6 a.m. and noon?
Answer:11c
Step-by-step explanation:
A ring-shaped region is shown below.
Its inner diameter is 14 yd., and its outer diameter is 20 yd.
Answer:
160.14yd²
Step-by-step explanation:
first we find both of their areas then we subtract the small one f4om the big one
A=πr²
step 1 find area of large circle
A=3.14×(10²)
A=3.14×100
A=314
step 2 find are of small circle
A=3.14×(7²)
A=3.14×49
A=153.86
step 3 subtract small area from big area
314-153.86=160.14
What is the area of the trapezoidal window below?
Answers:
A: 21m to the second power
B: 25.5m to the second power
C 22.5m at the second power
D: 18m at the second power
Answer:
B) 25.5 m²
Step-by-step explanation:
The formula to find the area of a trapezoid: 1/2 x (a + b) x h, where a and b are the parallel lines and h is the height.
1) Input the values into the formula, and solve it.
= 1/2 x (5 + 12) x 3
= 1/2 x 17 x 3
= 1/2 x 51
= 25.5
Answer:
B
Step-by-step explanation:
A = (1/2)(3)(5 + 12)
= (1/2)(3)(17)
= (1/2)(51)
= 25.5 m^2
Find x if USR is supplementary to RST.
Answer: 8
Step-by-step explanation:
If Nembutal is used to anesthetize rabbits at a dosage of .09 mg/g of body weight, and the concentration of the solution is 60 mg/mL, how many mL are needed to anesthetize a 4 lb rabbit?
Answer:
2.72 ml
Step-by-step explanation:
4 lb = 1814.37 gm
1814.37 gm * .09 mg/gm / ( 60 mg/ml) = 2.72 ml
What is the surface area of the square pyramid?
Enter your answer in the box.
in²
Square pyramid net consisting of a square and four triangles. The square has length and width of eight inches. A triangle has a base of eight inches and a height of eleven inches.
Answer:
240 in²
Step-by-step explanation:
The surface area of the pyramid is the sum of the areas of the parts of the composite figure comprising the net. That is, it is the sum of the areas of four triangles and a square.
__
FaceThe area of a triangle is ...
A = 1/2bh
For the given triangles, this is ...
A = 1/2(8 in)(11 in) = 44 in²
__
BaseThe area of the square base is ...
A = s²
For the given dimensions, this is ...
A = (8 in)² = 64 in²
__
Total Surface AreaThe sum of the areas of the four faces and the base is ...
total area = 4(44 in²) +64 in² = 240 in²
The surface area of the square pyramid is 240 in².
Which scenario could be modeled with an exponential function?
Please select one of this:
The amount of money in a certificate of deposit earns 4.3% interest each year.
The amount of money in Avery's wallet increases and decreases by a different amount each week.
The amount of money in Jaylon's savings account where $125 is deducted each month.
Tim adds $10 to his savings account each week.
The scenario that could be modelled with an exponential function is when Tim adds $10 to his savings account each week.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As we know that a continuous compounding function is an exponential function. Therefore, we need to find the situation where the principal amount is invested for an infinitely long time.
A.) Since the amount is invested and a certificate of deposit is taken the amount will be invested for a fixed period of time. Thus, this is not a continuous compound function.
B.) The amount put into the account and taken out of the account varies for each term. Thus, this is not a continuous function.
C.) As in Jaylon's account the money is reduced by $125 every month, therefore, at a certain point, it will become zero. Thus, this is not a continuous compound function.
D.) As Tim adds $10 to his saving account every month, and there is no time specified, also the account will be always positive. Thus, this is a continuous compound function.
Hence, the scenario that could be modelled with an exponential function is when Tim adds $10 to his savings account each week.
Learn more about Function:
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System a
2x+y=5 and -4x+6y=-2
system b
-10x +19y=-1 and -4x+6y=-2
Answer:
System A: x = 2, y = 1
Points: (2, 1)
System B: x= 2, y = 1
Points: (2, 1)
Step-by-step explanation:
PLEASE HELP, THIS WORK IS DUE TO 11:59
Answer:
Correct Answer: (-3,4) is located in the G region!!
Step-by-step explanation:
This is simple graphing but using regions.
Each region is on a coordinate.
________________________________________________________
There are 4 Quadrants representing each region.
(x, y) is the Quadrant 1 (Top Right) which has every coordinate positive.
(-x , y) is Quad. 2 (Top left) The X coordinate is negative while the y is positive.
(-x , -y) is Quad. 3 (Bottom Left) Both axis are negatives
(x , -y) is Quad. 4 (Bottom Right) The X-axis is positive but the Y is negative.
________________________________________________________
Your question asks for what region (-3,4) is at.
We know that the location of this coordinate is in Quadrant 2 because the x is negative. (Top Right)
Now, you need to go 3 to the left of the x-axis.
Then, go 4 up the y-axis.
Your region for this coordinate is "G"
Number Concepts 1. Two hundred four thousand, fifteen is written as
Answer:
204015
Step-by-step explanation:
PLEASE HELP QUICK
Examine the diagram.
15 cm circle
Which is the circumference of the circle? (Use : = 3.14)
A 4.71 cm
B. 18. 14 cm
C 23.55 cm
D. 47.1 cm
E 176,625 cm
Answer:
To get the diameter we need to invert the equation: Cπ=D. If we put in all the numbers now we get that: 153,14=4,777070...
Step-by-step explanation:
Which ratio of tablespoons of raspberries to tablespoons of sugar would make a fruitier jam
Answer:
9 to 6 is the answer to make a fruiter jam
Step-by-step explanation:
The ratio that makes a fruiter jam is 9:6
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here: Macy's mother uses 6 tablespoon of sugar to 8 tablespoon of raspberries.
Original ratio is 4/3
Clearly only the option 9/6=3/2 is greater than 4/3
Thus 9:6 is the required ratio.
Hence, The ratio that makes a fruiter jam is 9:6
Learn more about ratios here:
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Your question is incomplete. The complete question :
Macy's aunt makes raspberry jam using 6 tablespoons of sugar and 9 tablespoons of raspberries. Macy wants to make a fruitier tasting jam. # Which ratio of tablespoons of raspberries to tablespoons of sugar would make a fruitier jam?
9 to 10
4 to 10
9 to 6
Which of these groups of values plugged into the TVM Solver of a graphing
calculator will give the monthly payment for a 25-year loan for $175,000 at
6.7% interest, compounded monthly?
A. N=25; 1% = 6.7; PV=0; PMT=; FV=-175000; P/Y=12; C/Y=12;
PMT:END
B. N=25; 1% = 6.7; PV=-175000; PMT=; FV=0; P/Y=12; C/Y=12;
PMT:END
C. N=300; 1% = 6.7; PV=-175000; PMT=; FV=0; P/Y=12; C/Y=12;
PMT:END
D. N=300; 1% = 6.7; PV=0; PMT=; FV=-175000; P/Y=12; C/Y=12;
PMT:END
Answer:
C. N=300; I%=6.7; PV=-175000; PMT=; FV=0; P/Y=12; C/Y=12; PMT:END
Step-by-step explanation:
To find the payment on a loan, a TVM solver needs the Present Value (PV) to be the loan amount, the Future Value (FV) to be zero, and N to be the actual number of payments (25×12 = 300).
Most solvers will take I% to be the annual interest rate. (An HP-12C financial calculator uses the monthly interest rate.)
The set of values needed for finding the monthly payment on this $175,000 loan at 6.7% are listed in choice C.
__
Additional comment
The sign of the cash flow is usually negative for amounts paid, and positive for amounts received. Here, the answer choices show the loan amount to be negative and the payment amount to be positive. We ordinarily expect to receive the loan amount and pay the payments. By the above criteria, the signs are reversed in this problem from what we usually expect.
Dwayne bought 12 yards of wrapping paper.
How many inches of wrapping paper did he buy? Helppp
Answer:
432 inchesStep-by-step explanation:
Given:
Dwayne = 12 yardsConversion: 1 yard = 3 feet = 36 inches
Use the unitary method and solve:
[tex]\implies \text{1 yard = 3 feet = 36 inches}[/tex][tex]\implies 1 \times 12 \ \text{yard} = 3 \times 12 \ \text{feet} = 36 \times 12 \ \text{inches}[/tex][tex]\implies 12 \ \text{yards} = 36 \ \text{feet} = 432 \ \text{inches}[/tex]Thus, Dwayne bought 432 inches of wrapping paper.
Use the model to write the equation that represents the problem. I have one-half of a square and I want to divide it by three-fourths. How many pieces would I have? A) 1 2 ÷ 3 4 = 2 B) 1 2 ÷ 3 4 = 3 C) 1 2 ÷ 3 4 = 2 3 D) 1 2 ÷ 3 4 = 3 2
Answer:
my oppositions C) 1 2÷3 4=2 3
PLEASE HELP PLEASE PLEASE HELP
Answer:
c) 5 boxes 4 donuts remain.
pls give brainlyist
Step-by-step explanation:
Answer:
C. 5 boxes with 4 doughnuts left over
Step-by-step explanation:
A baker made 64 doughnuts at his bakery on Monday.
The baker wants to put his doughnuts into boxes. Each box holds 12 doughnuts. What is the total number of boxes the baker can fill, and the total number of doughnuts he will have left over?
Given that the baker has 64 doughnuts and each box holds 12 doughnuts, how many boxes can he fill and how many will he have left over?
To find this, we need to divide 64 by 12 using long division.
*View the attached picture*
Hope this helps!
A recipe called for the ratio of sugar to flour to be 10 : 3 if you used 70 ounce of sugar, how many ounces of flour would you need to use?
Answer:
21
Step-by-step explanation:
10*7 = 70
3*7 = 21
Add This Equation: In Photo...
Answer:
see below
Step-by-step explanation:
= (5+7) / ( z+1) = 12 / (z+1)
Martin earns $18 dollars an hour. Which of the following inequalities represents the amount of time martin needs to work to earn at least $78 per day? 18 - t > 78 18+ t < 78 18t > 78 18t < 78
Answer:
18t >= 78
Step-by-step explanation:
Not sure if there's an equals sign in the problem that you were given, but there should be. The 18 in the inequality stands for the hourly wage. The t stands for hours worked. 18(wage) x t(hours) has to be greater than or equal to 78 in order for Martin to at LEAST $78 per day. :)
35% of 40 is what?
55% of what number is 44?
Answer:
14
80
Step-by-step explanation:
Answer:
Step-by-step explanation:
35% of 40 is 14
55% of 80 is 44
A box in the shape of a right rectangular prism has a
height of 15 inches and a square base. If the volume
of the box is 1500 cubic inches, what is the side
length, in inches, of the base?
Step-by-step explanation:
volume = height × square base
1500 = 15 × square base
square base = 100
lenght = 10
Amanda simplifies the following expression and shows her work below. What mistake did Amanda make that resulted in an incorrect answer?
34−8÷2 + 3∙4
34−4 + 3∙4
37 – 7 ∙ 4
34−28
6
a
She added before multiplying
b
She multiplied before dividing
c
She subtracted before adding
d
She added before dividing
Answer:
A, She added before multiplying.
Step-by-step explanation:
First, start off by using GEMDAS.
Grouping
Exponents
Multiply
Divide
Add
Subtract
You work from left to right - so you obviously divide first, which Amanda did successfully. Then, you multiply, which is exactly where Amanda went wrong. She was supposed to multiply before adding the 3 with 4.
Not sure if this made sense,
find the volume of each prism 2.7ft 3ft 2ft
Answer:
16.2 is the volume i hope i helped u
Find the perimeter of the figure.
What is the tan if x?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The given triangle is a right triangle, with one of the acute angle measuring 45°
let's calculate x ~
[tex]\qquad \tt \dashrightarrow \:x + 45 + 90 = 180[/tex]
[tex]\qquad \tt \dashrightarrow \:x + 135 = 180[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 180 - 135[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 45 \degree[/tex]
So, tan x is :
[tex]\qquad \tt \dashrightarrow \: \tan(x) = \tan(45 \degree) [/tex]
[ since x = 45° ]
[tex]\qquad \tt \dashrightarrow \: \tan(x) = 1[/tex]