Answer:
3solution,
[tex]12x = 36 \\ or \: x = \frac{36}{12} \\ x = 3[/tex]
Hope this helps...
Good luck on your assignment..
There is $500 in each of three envelopes. The first envelope contains only $10 bills, the second envelope contains only $20 bills, and the third envelope contains only $50 bills. One bill is taken out of one of the envelopes, two bills are taken out of another envelope, and three bills are taken out of the remaining envelope (in any order). What is the least possible amount, in dollars, that can be taken out?
Answer:
order:
-3 bills from first envelope (-30 dollars)
-2 bills from second envelope (-40 dollars)
-1 bill from third envelope (-50 dollars)
total least possible amount that can be taken out: 120
Step-by-step explanation:
Any other ways results in more than 120 being taken away. Need to have the least taken away from the 50 bill envelope because 50 is the largest bill. Take away the most from the 10 bill envelope because 10 is the smallest bill.
Answer:
$120
Step-by-step explanation:
So this question isn't hard either
We can cross out excess information and just find the main points.
a. 3 Envolopes containing 10 bills, 20 bills, and 50 bills
b. 1-3 bills are taken out of each envolope
c. It wants you to find the least possible amt. that could have been token out.
So since we want the least, we must take the smallest out of the largest
In order, 1 from 50 (largest)
2 from 20 (middle)
and 3 from 10 (smallest)
this leaves us the equation (1x50) + (2x20) + (3x10) => 50+40+30 => 120
Thus, we have our answer 120
Hope this helps!
Martina creates the graph of function g by applying a transformation to function f
f(x) = 4^x-2
g(x) = 4^x+7
Which transformation did Martina apply?
Answer:
A
Step-by-step explanation:
f(x)=4^x-2
g(x)=4^x+7
it is horizontal shift 9 unit to the left
hope it works
Answer:
A: A horizontal shift of 9 units left
Hope this helps! :D
Step-by-step explanation:
how can you tell that 4:1 and 12:3 are equivalent ratios?
Answer:
They are equivalent.
Step-by-step explanation:
You can tell because 4:1 can go into 12:3.
If you multiply 4 by 3 you will get 12.
If you multiply 1 by 3 you would get 3.
12:3=4:1
Hope this helps!
Step-by-step explanation: Two ratios are equal if the fractions that represent the are equal.
So we first write the ratios 4 : 1 and 12 : 3 as the fractions 4/1 and 12/3.
Now, to determine whether the two fractions are equal,
we write each fraction in lowest terms.
Notice that 4/1 or 4 is already in lowest terms.
So let's move on.
12/3 can be simplified to 4.
So we have 4 = 4 which is true.
So that's how we know the ratios 4 : 1 and 12 : 3 are equal.
a particular strain of bacteria doubles in population every 10 minutes. Assuming you start with a single bacterium in a petri dish, how many bacteria will there be in 2.5 hours? A. 16,384 B. 65,536 C. 32,768 D. 9536
Answer:
C. 32,768
Step-by-step explanation:
Step 1
Convert the number of hours to minutes
2.5 hours to minutes = 2 hrs 30 minutes to minutes is calculated as
1 hour = 60 minutes
2 hours 30 minutes =
Cross multiply
(60 minutes × 2 hours) + 30 minutes = 150 minutes.
Step 2
We are told in the question that the bacteria population doubles every 10 minute interval
Find the number of intervals in 150 minutes
= 150 minutes / 10 minutes interval
= 15 intervals
Step 3
The number of bacteria present after 2.5 hours is calculated using the formula of
= Amount of bacterium × 2ⁿ
Where n = number of intervals = 15
Amount of bacterium = single bacterium = 1
Number of bacteria = 1 × 2¹⁵
= 32,768
Therefore, when you start with a single bacterium in a petri dish, the number of bacteria that will there be in 2.5 hours is 32,768
Help ASAP. what is this asking me to do
Answer:
It's asking you to write the function in a factored form for example g(x) or f(x) that's why its asking for you to use the x as the variable.
Step-by-step explanation:
PLEASE HELP!!!!
Find the product. Write your answer in
exponential form.
2^6•2^-5
Answer:
2^1
According to the product of powers with the same base, a^m * a^n = a^m+n.
Basically, when you're multiplying exponents with the same base, you can add the powers together to get the answer.
2^6 * 2^-5
The bases are the same, so we can apply this rule.
6 + -5 = 1
This gives you the answer of 2^1.
Easy enough!!! BRAINLIEST AWARDED IF YOU GET IT RIGHT! Solve the problems:
Answer:
line PQ and line SR are parallel and line PS and line QR are parallel. And we can amuse QS as the transversal.
answers to pairs of angles:
7. opposite interior angles
8. opposite interior angles
9. adjacent interior angles
10. corresponding angles
11. opposite interior angles
Hope it helps
Step-by-step explanation:
a line in a cartesian plane passes through the points 5,8 and 9,15. what's the slope of the line
Answer:
B. 7/4
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Plug in the coordinates:
m = (15 - 8)/(9 - 5)
m = 7/4
Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x + 3y = -5.$
Answer:
A=-3
B=-1
ans:-1-(-3)=2
Step-11by-step explanation:
Ax+By=3,m1= -A/B
x+3y= -5,m2= -1/3
A/B=1/3(parallel)
3A=B
(-7,2)
-7A+2B=3
-7A+6A=3
A= -3
B=-3/3= -1
-1-(-3)=2
Write 90 cents to $1.30 a fully simplified ratio by first converting to the same units, and then simplifying.(plz answer I will put brainliest)
Answer:
9:13.
Step-by-step explanation:
$1.30 = 130 cents
So the ratio is 90:130
= 9:13.
If there are 50 cups of rice for a group of five people who have a combined weight of 880 pounds, determine how many cups each person should get per 100 pounds. Round to the nearest tenth of a cup.
Answer:
28.4 cups
Step-by-step explanation:
If 5 people have a combined weight of 880 pounds, each person sould have a weight of 880/5 = 176 pounds.
Now, we can set up a proportion:
[tex]\frac{176}{50} =\frac{100}{x}[/tex]
Cross Multiply:
176x = 5000
x = 5000/176 = 28.4 cups
The required number of cups that each person has 5.6 cups per 100 pounds.
There are 50 cups of rice and group of 5 combined weight of 880 pounds. To determine how many cups each person should get per 100 pounds.
Fraction is defined as the number of composition constitute the whole.
average wait of people = 880/5 = 176 pounds
Each person can have cup beside the 100 pound weight = 50/5 = 10(max)
Number of cups per 100 pounds = 50/880*100
= 5.6 cups per 100 pound
Thus, the required number of cups that each person has 5.6 cups per 100 pounds.
Learn more about fractions here:
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What is the product of (7/8)(-16)(-7)(- 1/14)
Answer:
-7
Explanation:
7/8 x - 16 x -7 x -1/14 = -7
Answer: -7
7/8 x -16 = -14
-14 x -7 = 98
98 x 1/14 = -7
ANSWER IS -7
Bert’s cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline’s cab company charges $3.00 plus an additional $2.00 per mile for a ride. Write a system of linear equations that shows the cost in dollars, y, for a cab ride of x miles for each cab driver. Bert’s _____________________________________ Madeline’s ________________________________
Answer:
3*m+1 and 3+2*m
Step-by-step explanation:
$600.99
Step-by-step explanation:
Because the cab company is located in New York. In New York, cab drivers basically rob you.
Use the given conditions to write an equation for the line in point-slope form and general form.
Passing through (7,-7) and perpendicular to the line whose equation is x - 5y-2 = 0
The equation of the line in point-slope form is...
Answer:
y=-5x+28 general form
slope point :y-(-7)=-5(x-7)
Step-by-step explanation:
definition :perpendicular slopes are negative reciprocals of each other
x-5y-2=0
y=1/5 x-2/5
slope of the perpendicular line =1/m=-1/(1/5)=-5
slope point :y-(-7)=-5(x-7)
find b :
y=-5x+b
-7=-5(7)+b
b=-7+35=28
y=-5x+28
y=1/5 x-2/5
Select all the expressions that are equivalent to 16x + 36.
a 16(x + 20)
b. x(16+36)
C. 4(4x + 9)
d. 2(8x + 18)
e. 2(8x + 36)
Answer:
2(8x + 18) and 4(4x + 9)
Step-by-step explanation:
16 and 36 are both evenly divisible by 2 and 4. Thus, possible equivalents of 16x + 36 are 2(8x + 18) and 4(4x + 9).
Expressions equivalent to 16x + 36 are 4(4x+9) and 2(8x + 18).
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
Given expression
16x + 36
= 4.4x + 4.9
16x + 36 = 4(4x+9)
= 2.2(4x + 9)
16x + 36 = 2(8x + 18)
Hence, 4(4x+9) and 2(8x + 18) are equivalent to 16x + 36.
Learn more about expression here:
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THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL
Answer:
50%
Step-by-step explanation:
Percent increase formula for your problem:
#wolves increased / # of wolves there were originally
We have
(27-18) / 18
9 / 18
1 /2
1/2=50% So, there was a 50% increase!
Hope this helps
9 cans of paint are needed to
paint 4 rooms. Exactly how
many cans of paint are needed to
paint 10 rooms? How many cans
of paint should be purchased?
Exact:
Purchased:
Answer:
Step-by-step explanation:
Write and solve an equation of ratios:
9 4
----- = -----
x 10
Then 4x = 90, and x = 22.5
It will take exactly 22.5 cans of paint to cover 10 rooms. The painter must buy 23 cans.
Find the vertex of the function given below.
y= x2 - 6x +1
Answer:
V( 3, -8 )
Step-by-step explanation:
Parable equation is of the form:
( x - h )² = 4p*(y - k)
In that expression, vertex has coordinates V ( h, k )
Then all we have to do is transform the given equation
y = x² - 6x + 1 or x² - 6x = y - 1 (1)
We can get a perfect square trinomial in the first member of the equation according to:
x² - 6x = ( x - 3 )² - 9
(x - 3 )² = x² - 6x + 9
By substitution en equation (1)
( x - 3 )² - 9 = y - 1
( x - 3 )² = y -1 + 9
( x - 3 )² = y + 8
( x - 3 )² = (y + 8 )
Then vertex coordinates are
V( 3 , -8)
What is the value of (Negative 5) Superscript 4?
Answer:
625
Step-by-step explanation:
-5⁴
-5 × -5 × -5 × -5
= 625
the simplified value of the given Expression (Negative 5) Superscript 4 will be 20.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given a mathematical expression (Negative 5) Superscript 4
Simplifying the expression
=> (Negative 5) Superscript 4
in other terms
=> (-5)⁴
=> -5*-5*-5*-5
=> 20
Therefore, the simplified value of the given Expression will be 20.
Learn more about Mathematical operations here:
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solve the math problem please
Answer:
B, x≥2
Step-by-step explanation:
54 - 10x ≤ 20 + 7x - subtract 20
34 - 10x ≤ 7x - add 10x to 7x
34 ≤ 17x - divide 34 by 7
2 ≤ x - flip the equation - x ≥ 2
Hope this is helpful!
Answer:
Choice B
Step-by-step explanation:
TRUST ME. IF YOU WANT EXPLANATION:
54 - 10x < = 20 + 7x
54 - 20 < = 7x + 10x
34 < = 17x
34/17 < = x
2 < = x.....or x > = 2....its B trust me
What is the recursive formula for this sequence? 14,18,22,26,30...
Answer:
an = an-1 +4
a1 = 14
Step-by-step explanation:
The recursive formula is
an = an-1 +d where d is the common difference
a1 = initial term
a1 = 14
d = the difference between the terms
Take the second term and subtract the first term
18-4 = 4
That is the common difference
an = an-1 +4
a1 = 14
If we will analyze this sequence, we will notice that:
The sequence started by 14. So, the first term ([tex]a_1[/tex]) is 14. From 14 to 18 we add 4. From 18 to 22 we add 4. This standard repeats itself infinitely. The next term is equals the last term plus 4.So,
[tex]\boxed{\left \{ {{a_1=14} \atop {a_n=a_{n-1}+4}} \right.}[/tex]
Therefore, the correct option is letter C.
One serving of a certain brand of yogurt contains 9 g of fat. The low-fat version contains 36.75% less fat per serving. How many grams of fat does one serving the low-fat yogurt contain?
Answer:
Answer Choices??
Step-by-step explanation:
Question 1: Classify the system of equations and identify the number of solutions. 7x + 3y = 10 3y = 9 − 7x Answers: consistent, dependent; one inconsistent; one inconsistent; none consistent, dependent; infinite Question 2: Classify the system of equations and identify the number of solutions. 3x + y = 4 12x + 4y = 16 Answers: consistent, independent; one inconsistent; none consistent, dependent; one consistent, dependent; infinite Question 3: John and Harry went to a stationery shop. John bought 3 pens and 8 notebooks for $20.50. Harry bought 4 pens and 5 notebooks for $16.00. Identify the cost of a pen and the cost of a notebook. Answers: pen: $1.00; notebook: $2.50 pen: $2.00; notebook: $1.50 pen: $1.50; notebook: $2.00 pen: $2.00; notebook: $3.00
Answer:
1. The equations is inconsistent and has no solution
2. The equations is consistent and has no solution
3. A pen costs $1.50 and a notebook costs $2.00
Step-by-step explanation:
Solving [tex]7x + 3y = 10[/tex] and [tex]3y = 9 - 7x[/tex]
[tex]7x + 3y = 10[/tex] --- Equation 1
[tex]3y = 9 - 7x[/tex] --- Equation 2
Add 7x to both sides in equation 2
[tex]7x + 3y = 9 - 7x + 7x[/tex]
[tex]7x + 3y = 9[/tex] --- Equation 3
Subtract equation 3 from 1
[tex](7x + 3y = 10) - (7x + 3y = 9)[/tex]
[tex]7x - 7x + 3y - 3y = 10 - 9[/tex]
[tex]0 + 0 = 1[/tex]
[tex]0 \neq 1[/tex]
The equations is inconsistent and has no solution
Solving [tex]3x + y = 4[/tex] and [tex]12x + 4y = 16[/tex]
[tex]3x + y = 4[/tex] -- Equation 1
[tex]12x + 4y = 16[/tex] ---- Equation 2
Make y the subject of formula in equation 1
[tex]y = 4 - 3x[/tex]
Substitute 4 - 3x for y in equation 2
[tex]12x + 4(4 - 3x) = 16[/tex]
[tex]12x + 16 - 12x = 16[/tex]
Collect Like Terms
[tex]12x - 12x = 16 - 16[/tex]
[tex]0 = 0[/tex]
The equations is consistent and has no solution
3. Solving John and Harry
Given;
Represent Pen with P and Notes with N
John: [tex]3P + 8N = 20.5[/tex]
Harry: [tex]4P + 5N = 16.00[/tex]
Required
Find P and N
Make P the subject of formula in equation 2
[tex]4P = 16 - 5N[/tex]
[tex]P = \frac{16 - 5N}{4}[/tex]
Substitute [tex]P = \frac{16 - 5N}{4}[/tex] in equation 1
[tex]3P + 8N = 20.5[/tex]
[tex]3(\frac{16 - 5N}{4}) + 8N = 20.5[/tex]
Open the bracket
[tex]\frac{48 - 15N}{4} + 8N = 20.5[/tex]
Take LCM
[tex]\frac{48 - 15N + 32N}{4} = 20.5[/tex]
[tex]\frac{48 + 17N}{4} = 20.5[/tex]
Multiply both sides by 4
[tex]4 * \frac{48 + 17N}{4} = 20.5 * 4[/tex]
[tex]48 + 17N = 82[/tex]
Subtract 48 from both sides
[tex]48 - 48 + 17N = 82 - 48[/tex]
[tex]17N = 82 - 48[/tex]
[tex]17N = 34[/tex]
Divide both sides by 17
[tex]17N/17 = 34/17[/tex]
[tex]N = 34/17[/tex]
[tex]N = 2[/tex]
Substitute 2 for N in [tex]P = \frac{16 - 5N}{4}[/tex]
[tex]P = \frac{16 - 5 * 2}{4}[/tex]
[tex]P = \frac{16 - 10}{4}[/tex]
[tex]P = \frac{6}{4}[/tex]
[tex]P = 1.5[/tex]
Hence, a pen costs $1.50 and a notebook costs $2.00
PLEASE HELP!! I will award Brainliest and give 55 POINTS!!! THANK YOU
Answer:
79
Step-by-step explanation:
If we square m + 1/m we get (m + 1/m)² = m² + 2 * (m * 1/m) + 1/m² = m² + 2 + 1/m². Since m + 1/m = 9, (m + 1/m)² = 81 so that means that m² + 1/m² = 81 - 2 = 79.
Answer:
79 is correct
The expression is now simplified to 3−6i+5i. What is the a+bi form? Type in your final solution in a+bi form, like this: 4+2i Algebra 2
Answer:
3 - 1i
Step-by-step explanation:
3 - 6i + 5i
Add like terms.
3 - 1i
3 + -1i
a = 3
b = -1
Calculate the final cost: Original price $125 Discount 25%
Tax 6.5%
Please help me
Answer:
99.84
Step-by-step explanation:
Take the original price and subtract the discount
125 - .25 * 125
125 -31.25
93.75
Now add in the tax
93.75+.065*93.75
93.75+6.09375
99.84375
Rounding to the nearest cent
99.84
The diagram shows a solid shape.
The volume of the cone is 270 cm.
Work out the volume of the solid shape.
Give your answer in terms of pi
Answer:
[tex]756\pi[/tex]
Solution,
Volume of cone=270 pi cm^3
[tex] \frac{1}{3} \pi \: {r}^{2} = 270\pi \\ or \: {r}^{2} \times 10 = 270 \times 3 \\ or \: {r}^{2} \times 10 = 810 \\ or \: {r}^{2} = \frac{810}{10} \\ or \: {r}^{2} = 81 \\ or \: r = \sqrt{81} \\ or \: r = \sqrt{ {9}^{2} } \\ r = 9 \: cm[/tex]
Volume of semisphere:
[tex] \frac{2}{3} \pi {r}^{3} \\ = \: \frac{2}{3} \times \pi \times 9 \times 9 \times 9 \\ = 486\pi[/tex]
Total:
[tex]270\pi + 486\pi \\ = 756\pi[/tex]
hope this helps...
Good luck on your assignment..
Use the graph of f to describe the transformation that results in the graph of g. f(x) = log x; g(x) =
Answer:
The function was expanded vertically by 5, and then translated vertically upwards 6 units.
Which is the third option in the list of possible answers.
Step-by-step explanation:
Recall that the types of transformations associated with:
A) a function multiplied by a positive factor larger than one consists on the function expanded vertically by that factor.;
B) a positive number added to the function consists on the vertical translation of the function upwards as many units as the number added.
Therefore, the function [tex]f(x) = log(x)[/tex] being transformed into [tex]g(x)=5\,log(x)+6[/tex]
consists of the initial function expanded vertically by 5, and then translated vertically upwards 6 units.
What’s the answer? It’s a ratio and proportion assignment.
Answer:
G
Step-by-step explanation:
168/14=12*13.72=164.64
._.
Point B lies on segment AC . Find the length of the segment BC , if: AB = 4 mm, AC = 4 cm.
Answer:
The length of the segment BC is 3.6
Step-by-step explanation:
First you need to change 4 mm to .4 cm because mm and cm are not the same. So the total is 4 cm. but you only need to find BC. So in order to get BC, you do 4 - .04 which gives you 3.6. So the length of the segment BC is 3.6. There is a model if the explanation is not as clear.