Answer:
x= 8.4
Step-by-step explanation:
y=0.8
4x + 8y =40
4x + ( 8 x 0.8) = 40
4x + (6.4) =40
4x = 40 - 6.4
4x = 33.6
x = 8.4
what is the expression of 4 +34times7
Answer:
242
Step-by-step explanation:
Instead of times you should use * to represent multiplication.
So, the expression is 4 + 34*7
We follow PEMDAS,
So first we multiply,
4 + 238
Now we add.
242
y = 3x – 5. Find the value of y when x = 1
The three angles in a triangle are in the ratio 3:5:7. Find the largest angle in the triangle?
Answer: The largest angle is 7x
Step-by-step explanation:
Their sum is 180, so
3x + 5x + 7x = 180
5x = 180 --> x = 12
The largest angle is 7x, which is 7(12) = 84
A basketball coach will choose 5 players from a group of 9 players to start the next game. How many different groups of starting players are possible?
Answer:
45?
Step-by-step explanation:
Janissa bought 50 cupcake cases for baking. She used 2/5 of the cases to bake vanilla cupcakes. She then used 5/6 of the remaining cases to bake chocolate cupcakes. How many cupcake cases does Janissa have left?
Jessica has 5 cupcake cases left.
First, divide 50 into groups of five. Next, subtract two groups of five from 50. Third, divide the remaining cases into groups of six. Finally, subtract 5 groups of six from the remains from the last subtraction equation.
The number of cupcake cases that Janissa has left will be 5.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Janissa bought 50 cupcake cases for baking.
She used 2/5 of the cases to bake vanilla cupcakes. Then the number of vanilla cupcakes will be
⇒ 50 x 2 / 5
⇒ 20 vanilla cupcakes
Then the remaining cupcake cases will be
⇒ 50 - 20
⇒ 30 cupcake cases
She then used 5/6 of the remaining cases to bake chocolate cupcakes. Then the number of chocolate cupcakes will be
⇒ 30 x 5 / 6
⇒ 25 chocolate cupcakes
Then the remaining cupcake cases will be
⇒ 30 - 25
⇒ 5 cupcake cases
Then the number of cupcake cases that Janissa has left will be 5.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Solve the equation
(If possible please show work)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{n = 1}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2 - 4n = 2 - 4(3 - 2n)} [/tex]
Distribute 4 through the parentheses
⇒[tex] \sf{ 2 - 4n = 2 - 12 + 8n}[/tex]
Move 8n to left hand side and change it's sign
⇒[tex] \sf{2 - 4n - 8n = 2 - 12}[/tex]
Collect like terms
⇒[tex] \sf{2 - 12n = 2 - 12}[/tex]
Move 2 to right hand side and change it's sign
⇒[tex] \sf{ - 12n = 2 - 12 - 2}[/tex]
Calculate
⇒[tex] \sf{ - 12n = - 12}[/tex]
Divide both sides of the equation by -12
⇒[tex] \sf{ \frac{ - 12n}{ - 12} = \frac{ - 12}{ - 12} }[/tex]
Calculate
⇒[tex] \sf{n = 1}[/tex]
Hope I helped!
Best regards!!
Simplify the expression (7x² - 3x) + (11x² - x - 7) A. 18x² + 2x + 7 B. 4x² - 4x - 7 C. 18x² - 2x - 7 D. 18x² - 4x - 7
Answer: D.
Step-by-step explanation:
Answer:
D.18x square-4x-7Worksheet 1.3
Part 1: Write a math expression for each problem (model the problem).
1)
Lumpy drove for h hours at 50 mph. How far did he drive?
Answer:
50h milesStep-by-step explanation:
For us to write a math expression for the problem, we will use the formula for calculating speed.
Speed is the change of distance of a body with respect to time.
Mathematically, Speed = Distance/Time
Distance = Speed * Time
If Lumpy drove for h hours at 50 mph, then Lumpy speed = 50mph and time = h hours.
Substituting the given parameters into the formula to get the distance;
Distance = 50mph * h hours
Distance = 50h miles
Hence the math expression that modeled how far Lumpy drive is 50h miles
evaluate g(x)=3x when x= -2,0, and 5
Answer:
-6, 0, 15
Step-by-step explanation:
You just replace x with the given number.
g(-2)= 3(-2)
=-6
g(0)=3(0)
=0
g(5)=3(5)
=15
The required evaluated values of g(x) = 3x would be -6, 0, 15 respectevily when substitute the values x = -2, 0, and 5.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
We have been the given expression:
g(x) = 3x
To determine the evaluated values of g(x) = 3x when x= -2, 0, and 5
We have to substitute x with the given number.
⇒ g(x) = 3x
Substitute the value of x = -2 in the g(x) = 3x
⇒ g(-2) = 3(-2)
⇒ g(-2) = -6
Substitute the value of x = 0 in the g(x) = 3x
⇒ g(0) = 3(0)
⇒ g(0) = 0
Substitute the value of x = 5 in the g(x) = 3x
⇒ g(5) = 3(5)
⇒ g(5) = 15
Hence, the required evaluated values of g(x) = 3x would be -6, 0, 15 respectevily when substitute the values x = -2, 0, and 5.
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ5
change .
0.9kg into grams
Answer:
900 grams.
Step-by-step explanation:
1 kg = 1000 grams.
0.9 kg = 1000 * 0.9
= 900 grams.
Answer:
900 grams is the answer
Michael keeps dogs, cows, cats and kangaroos as pets.
pets in total and that 1/8 of them are dogs, 3/4 are NOT cows, 2/3 are NOT cats.
kangaroos does Michael keep?
The question above is incomplete.
Complete Question
Michael keeps dogs, cows, cats and kangaroos as pets. He has 24 pets in total and 1/8 of them are dogs, 3/4 are not cows and 2/3 are not cats. How many kangaroos does Michael keep?
Answer:
7 kangaroos
Step-by-step explanation:
Total number of pets = 24
Fraction representing total number of pets = 1
Step 1
Number of dogs =
Fraction representing dog = 1/8
1/8 × 24 = 3
He has 3 dogs
Step 2
Number of cows =
From the question, we are told that 3/4 are not cows
Therefore, the number of cows he has =
1 - 3/4 = 1/4
The fraction representing cows = 1/4
Hence the number of cows he has =
1/4 × 24 = 6 cows
Step 3
From the question, we are also told that
2/3 are not cats
The fraction representing the number of cats he has=
1 - 2/3 = 1/3
Therefore, the number of cats he has =
1/3 × 24 = 8 cats.
Step 4
How many kangaroos does Michael keep?
We are asked, how many kangaroos he keeps.
Total numbers of pets = Number of dogs + Number of cows + Number of cats + Number of kangaroos
24 = 3 + 6 + 8 + Number of kangaroos
Number of kangaroos = 24 -(3 + 6 + 8)
= 24 - 17
= 7
Therefore, the number of kangaroos that Michael has is 7 kangaroos
Thirty increased by 5 times a number equals 80. Write only the equation!!!!!
Answer:
5 times x + 30 = 80 (x=10)
Step-by-step explanation:
5 times 10 is 50
50+30 is 80
A phone company offers two monthly plans. Plan A costs 8 plus an additional 0.16 for each minute of calls. Plan B costs 20 plus an additional 0.14 for each minute of calls.
Answer:
Total time when cost are equal = 600 minutes
Total cost = 104
Step-by-step explanation:
Given:
Plan A = costs 8 plus an additional 0.16 for each minute
Plan B = costs 20 plus an additional 0.14 for each minute
Find:
Total time when cost are equal
Computation:
Assume total time = x minutes
Plan A = 8 + 0.16x
Plan B = 20 + 0.14x
Plan A = Plan B
8 + 0.16x = 20 + 0.14x
0.02x = 12
x = 600 minutes
Total time when cost are equal = 600 minutes
Total cost = 8 + 0.16x
Total cost = 8 + 0.16(600)
Total cost = 104
Which of the following number sentences is an example of the commutative property of multiplication?
4 × 5 = 10 × 2
27 + 3 = 3 + 27
2 × (9 × 14) = (2 × 9) × 14
18 × 1 = 1 × 18
Select the equivalent expression.
(3^-8 • 7^3)^-2 =?
Answer:
C
Step-by-step explanation:
We can expand, getting 3^(-8)(-2) multiplied by 7^(3)(-2).
The exponents on the 3 is 16 and -6 on the 7.
This is the same as c.
The equivalent expression of (3⁻⁸ • 7³)⁻² will be 3¹⁶• 7⁻⁶. The correct option is C.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The expression will be simplified as below:-
(3⁻⁸ • 7³)⁻² = ( 3⁻⁸ˣ⁻²• 7³ ˣ ⁻² )
= ( 3¹⁶• 7⁻⁶)
Therefore, the equivalent expression of (3⁻⁸ • 7³)⁻² will be 3¹⁶• 7⁻⁶. The correct option is C.
To know more about expression follow
https://brainly.com/question/723406
#SPJ2
The Patterson family has 3 kids, 1 boy and 2 girls. Suppose that for each birth, the probability of a boy birth is 1/2, and the probability of a girl birth is also 1/2. What is the fractional probability of having 1 boy and 2 girls, in any order, in a family's first 3 births?
Answer:
[tex]Probability = \frac{1}{8}[/tex]
Step-by-step explanation:
Given
Represent Boys with B and Girls with G
[tex]P(B) = \frac{1}{2}[/tex]
[tex]P(G) = \frac{1}{2}[/tex]
Required
Find the probability or having 1 boy 2 girls
Since the order is not important, the probability is calculated as follows;
[tex]Probability = P(B) * P(G) * P(G)[/tex]
Substitute [tex]\frac{1}{2}[/tex] for P(B) and P(G)
[tex]Probability = \frac{1}{2} * \frac{1}{2} * \frac{1}{2}[/tex]
[tex]Probability = \frac{1 * 1 * 1}{2 * 2 *2}[/tex]
[tex]Probability = \frac{1}{8}[/tex]
Hence, the fractional probability is [tex]\frac{1}{8}[/tex]
A single carton of juice costs $4.20. A special offer pack of 3 cartons costs $9.45. Ali bought a special offer pack instead of 3 single cartons. Calculate his percentage saving
1 cartons of juice = $4.20
3 single cartons = 4.20 * 3 = $12.60
1 pack = $9.45
He saved 12.60 - 9.45 = $3.15
So, he saved $3.15, compared to the total ($12.60)
To calculate the percentage, we will do a proportion:
3.15 (money saved) : 12.60 (total of 3 single cartons) = x (how much percentage) : 100 (total)
3.15 : 12.6 = x : 100
To calculate x, we will moltiplicate the ends (where we have known numbers) than divide all per 12.6
So
x = (3.15 * 100) / 12.60 = 315 / 12.6 = 25
So the percentage saving is 25%
Solve the following simultaneous equations :
1. x + 2y = 1, 3x - y = 17
Answer: x= 5 and y= -2
Step-by-step explanation:
Find the unknown angle x.
Answer:
103°
Step-by-step explanation:
[tex] m\angle DST = m\angle DCS = 80\degree.. (\angle 's \: in\: alternate \: segment) [/tex]
[tex] In\: \triangle DST[/tex]
[tex] m\angle DTS = 180\degree - (60\degree + 80\degree) [/tex]
[tex] m\angle DTS = 180\degree - 140\degree[/tex]
[tex] m\angle DTS = 40\degree[/tex]
[tex] m\angle ETA+m\angle ETD+ m\angle DTS= 180\degree.. (straight \:line \:\angle 's) [/tex]
[tex] m\angle ETA+37\degree + 40\degree = 180\degree[/tex]
[tex] m\angle ETA+77\degree = 180\degree[/tex]
[tex] m\angle ETA = 180\degree-77\degree [/tex]
[tex] m\angle ETA = 103\degree [/tex]
[tex] x = m\angle ETA = 103\degree.(\angle 's \: in\: alternate \: segment) [/tex]
A farmer was asked how many cows and chickens she has. The farmer replied, "between the cows and the chickens, there are 162 eyes and 270 feet." How many cows does she have? How many chickens does she have? (Note: chickens have 2 feet and cows have 4 feet.)
Answer:
Step-by-step explanation:
yo
The number of cows is 54 and the number of chickens is 27 if the cows and the chickens, there are 162 eyes and 270 feet.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A farmer was asked how many cows and chickens she has. The farmer replied, "between the cows and the chickens, there are 162 eyes and 270 feet.
Let x be the number of cows and y be the number of chickens.
2x + 2y = 162 (there are 162 eyes)
4x + 2y = 270 (there are 270 feet)
From the first equation take the value of x and plug it into the equation second.
2y = 162 - 2x
y = 81 - x
4x + 2(81 - x) = 270
4x + 162 - 2x = 270
2x = 108
x = 54
y = 27
Thus, the number of cows is 54 and the number of chickens is 27 if the cows and the chickens, there are 162 eyes and 270 feet.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
Find the complex number solutions to the quadratic f(x)=2x^2-6x+17
Answer:
im pretty sure the answer is b. im not 100% though
Step-by-step explanation:
please help me on this
Answer: The coordinate of L is 4.
Step-by-step explanation:
Let's say you were to plot the point on a number line and find the distance between P and G.
P is -6 on the number and G is 18 on the number so to find the distance between them we will need to find the different between the number and find its absolute value.
-6- 18 = -24 and the absolute value of -24 is 24.
In other words to get from -6 to 18 on the number line you need to move 24 units to the right.
Now to answer the question, we know that the distance between the two numbers is 24 and and it says that L is 1/6 of the distance.
We can represent that by the equation,
L = [tex]\frac{1}{6} * 24[/tex]
L = 4
Given the function f(x)=3x-6 select all true statements that apply
Answer:
f(-4) = -18 and if f(x) = -9, then x = -1
Step-by-step explanation:
To find f(-4), we plug x = -4 into f(x) so f(-4) = 3 * (-4) - 6 = -12 - 6 = -18. To find x when f(x) = -9, we can write:
-9 = 3x - 6
-3 = 3x
x = -1
If f(x) = x – 5 and g(x) = 2x^2 + 7x – 13, find [g ºf](x).
Answer:
[tex]\bold{[g\circ f](x) = 2x^2-13x+2}[/tex]
Step-by-step explanation:
[tex]{}[g\circ f](x) = g[f(x)] \\\\{} [g\circ f](x)= g(x-5)\\\\{} [g\circ f](x) = 2(x-5)^2+7(x-5)-13\\\\{} [g\circ f](x) = 2(x^2-10x+25)+7x-35-13\\\\{} [g\circ f](x) = 2x^2-20x+50+7x-48\\\\{} [g\circ f](x) = 2x^2-13x+2[/tex]
is 3/8 a natural whole integer or rational number
3/8 is classified as a rational number.
All fractions, positive or negative, are rational numbers.
Natural numbers, whole numbers, and integers don't include fractions.
Answer:
Rational
Step-by-step explanation:
A natural number is a whole number, so that eliminates natural and whole. An integer is a whole number that includes negative numbers. Since 3/8 is not a whole number, we can eliminate that too. Rational numbers are fractions that don't go on forever. 3/8 is a rational number.
Gasoline at a particular gas station cost $2.78 per gallon if Cory buys $18 of gas how many gallons did he buy?
Answer:
6.47 gal
Step-by-step explanation:
cost of gas per gallon = $2.78
rate of change is cost of gas per gallon as cost to buy gas changes with the change in quantity of gallon.
Total cost for x gallons = cost of gas per gallon*x = 2.78x
Given that total money paid by him is $18
2.78x = 18
x = 18/2.78 = 6.47
Answer:
6.47 gallons
Step-by-step explanation:
18 divided by 2.78 = 6.47
In the expression 73 – 4•3+8, the first operation is...? A.an exponent
B.subtraction.
C.multiplication.
D.addition.
Answer:
C. multiplication
Step-by-step explanation:
P= ()
E=^
M=x
D=/
A=+
S=-
Maria paid $5.92 for 16 pounds of tomatoes. How much did she pay per pound?
piece of cake, it's $0.37
all you have to do is divide $5.92 by 16 to figure out price per pound.
[tex]\frac{5.92}{16}=0.37[/tex]
to check your answer multiply 0.37 by 16 and you'll get 5.92
note: if you were to divide 16 by $5.92 (inverse operation) you would be solving for pounds per each dollar, and the question asks to find what she paid for each pound not how many pounds she bought for each dollar she spent; since you're trying to figure out a certain price so you also divide by a price. I hope this makes sense
please help!!! 100 points if correct!!! please actually answer
Instructions
In this experiment, you will be using two coins as a simulation for a real-world compound event.
Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.
What is the theoretical probability that the family has two dogs or two cats?
Describe how to use two coins to simulate which two pets the family has.
Flip both coins 50 times and record your data in a table like the one below.
(picture below)
Based on your data, what is the experimental probability that the family has two dogs or two cats?
If the family has three pets, what is the theoretical probability that they have three dogs or three cats?
How could you change the simulation to generate data for three pets?
Answer:
see below
Step-by-step explanation:
What is the theoretical probability that the family has two dogs or two cats? (1/2)
The choices are dd, dc, cd, cc
There are 4 choices = dd or cc/ total = 2/4 = 1/2
Let the heads of the coin be dogs and the tails of a coin be cats
Flip two coins and coin A is the first pet and coin B is the second pet
heads , heads = 10
heads, tails 14
tails heads =13
tails tails = 13
total 50
Experimental probability 2 dogs or 2 cats = ( hh, tt) /total = ( 10+13) /50 = 23/50
If we had 3 pets
what is the theoretical probability that they have three dogs or three cats?
ddd, ddc, dcd, dcc, ccc, ccd ,cdc, cdd
There are 8 options
ddd or ccc/ total = 2/8 = 1/4
Let the heads of the coin be dogs and the tails of a coin be cats
Flip three coins and coin A is the first pet and coin B is the second pet Coin C be the third pet
Answer:
What is the theoretical probability that the family has two dogs or two cats? (1/2)
Experimental probability 2 dogs or 2 cats = 23/50
If the family has three pets, what is the theoretical probability that they have three dogs or three cats?
1/4=25%
Step-by-step explanation:
Can you please help me 4(x+4)=4x+16 justify solutions of an equation one variable
Answer:
any x value would work
Step-by-step explanation:
4(x+4)
4*x=4x
4*4=16
4x+16=4(x+4)