Two numbers, whose sum is 5.036, are 3.407 and 1.629.
Decimals numbers are numbers containing wholes and parts separated by a decimal point ".".
In adding or subtracting decimal numbers, first is to align the decimal point of the decimal numbers. Add/subtract the digits from right to left.
If we have two numbers, one number has a 4 in the tenths place and a 7 on the thousandths place, the second number has a 1 in the ones place and and an 2 in the hundredths place, and their sum is 5.036, we can write that as:
_ . 4 _ 7
+ 1 . _ 2 _
5 . 0 3 6
7 and 9 when added will give a sum of 16.
_ . 4 _ 7
+ 1 . _ 2 9
5 . 0 3 6
Since there is 1 from 16 earlier, 1 and 2 when added will give a sum of 3.
_ . 4 0 7
+ 1 . _ 2 9
5 . 0 3 6
4 and 6, when added will give a sum of 10.
_ . 4 0 7
+ 1 . 6 2 9
5 . 0 3 6
Since there is 1 from 10, 1 added to 1 and 3 will give a sum of 5.
3 . 4 0 7
+ 1 . 6 2 9
5 . 0 3 6
Hence, the two numbers are 3.407 and 1.629.
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math work
pls help
bleh
Answer:
yes
Step-by-step explanation:
substitute 4 for g. 4x5= 20 and 20 is definitely less than or equal to 25
Answer:
yes
Step-by-step explanation:
Given
5g ≤ 25
If g = 4 then
5g = 5 × 4 = 20 and
20 ≤ 25
Thus g = 4 is a solution of the inequality
Line p has an equation of y=8/3x+2. Line q, which is parallel to p, includes the point (-2,-5). What is the equation of line q?
Answer:
y = [tex]\frac{8}{3}[/tex] x + [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{8}{3}[/tex] x + 2 ← is in slope- intercept form
with slope m = [tex]\frac{8}{3}[/tex]
Parallel lines have equal slopes , thus
y = [tex]\frac{8}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 2, - 5) into the partial equation
- 5 = - [tex]\frac{16}{3}[/tex] + c ⇒ c = - 5 + [tex]\frac{16}{3}[/tex] = [tex]\frac{1}{3}[/tex]
y = [tex]\frac{8}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← equation of parallel line
PLEASE HURRY
The length of the base of an isosceles triangle is x. The length of a leg is 5x - 6. The perimeter of the triangle is 54. Find x.
X
Write the slope-intercept form of the equation of the line with slope= -3 that passes through the point (0, -9)
Answer:
y=-3x-9
Step-by-step explanation:
PLEASE SOLV EI HAVE LIMITED TIME PLS PLS PLS
Answer:
D. Subtract 7
Step-by-step explanation:
[tex]\frac{x}{-4} + 7 = 1[/tex]
[tex]\frac{x}{-4} = 1 - 7[/tex]
[tex]\frac{x}{-4} = 6[/tex]
[tex]x = (-4) \cdot 6[/tex]
[tex]x = -24[/tex]
(i will give brainliest for the first answer)
Triangle XYZ has vertices X(-3, -2), Y(-1, 0),
and Z(1, -6). Find the vertices of triangle
X’′Y’′Z′’ after a reflection over the x-axis.
Answer: X" ( -3,2) Y" (-1,0) Z" (1,6)
Step-by-step explanation:
Write a linear equation that is perpendicular to y = -4x - 6 and passes through the point (4, 10).
Answer:
Y= 1/4x + 9
Step-by-step explanation:
.
5. The diameter of a cylinder is 18.5cm and length is 6.1m. Find the surface area of
the curved surface.
An SRS of size 100 is taken from a population having proportion 0.7 successes. An independent SRS of size 200 is taken from a population having proportion 0.3 successes. The sampling distribution for the difference in sample proportions has what standard deviation?
Answer:
μ = 0.4
Standard deviation σ = 0.0512 (Approx)
Step-by-step explanation:
Given:
Sample size n1 = 100
Sample size n2 = 200
Proportion p1 = 0.7
Proportion p2 = 0.3
Find:
Standard deviation σ
Computation:
μ = p2 - p1
μ = 0.7 - 0.3
μ = 0.4
Standard deviation σ = √p1(1-p1)/n1 + p2(1-p2)/n2
Standard deviation σ = √0.7(1-0.7)/100 + 0.3(1-0.3)/400
Standard deviation σ = √0.0021 + 0.000525
Standard deviation σ = √0.002625
Standard deviation σ = 0.0512 (Approx)
Jacob and 6 of his friends went out to eat. They decided to split the bill evenly. Each person paid $14.93. What was the total bill?
Answer:
$104.51
Step-by-step explanation:
No.of people = 7
How much each person paid = $14.93
How much is the total bill = $14.93 x 7
= $104.51
I was bored so I added the steps lol
Ms. Graves gave her class 12 minutes to read. Carrie read 5\frac{1}{2} pages in that time. At what rate, in pages per hour, did Carrie read?
Answer: 27 1/2 pages per hour
Step-by-step explanation:
if Carrie reads
12 min ........................5 1/2 pages
60 min........................5*(5 1/2) pages=27 1/2 pages
The ratio of dogs to cats at the SPCA is 3:2. If there are 48 cats, how many dogs are there?
Answer:
72 dogs
Step-by-step explanation:
3 dogs/2 cats = x dogs/48 cats
Cross Multiply
3/2 x x/48
2x=144
x=72
Answer:
72 dogs
Step-by-step explanation:
First turn 3:2 into a fraction:
3/2
Then you can make the equation a proportion question, which is much eaiser to handle.
3/2=x/48 (I recommend writing this out so it will be easier to see)
Then you cross multiply, or multiply by the numerator of the first fraction by the denominator of the second, and the denominator of the first fraction by the numerator of the second.
Multiply 2 by x, which becomes 2x.
Multiply 3 by 48, which is 144
This becomes... 2x=144
You then solve with equation by dividing 144/2 and getting 72.
Meaning x=72 dogs
- B is the midpoint of line segment AC. If AB = 3x - 8 and BC = x + 12, find the value of x.
Answer: 13
Step-by-step explanation:
What is parallel to 5x+2y=8
Given the quadratic equation: f(x) = x2+4x-21
Using the factored form/intercept form, find the x-intercepts.
PLEASE HURRY
Answer:
x = - 7, x = 3
Step-by-step explanation:
To find the x- intercepts let f(x) = 0 , that is
x² + 4x - 21 = 0
Consider the factors of - 21 which sum to give the coefficient of the x- term (+ 4)
The factors are + 7 and - 3, since
7 × - 3 = - 21 and 7 - 3 = + 4, then
x² + 4x - 21 = 0
(x + 7)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 3 = 0 ⇒ x = 3
Which function has an inverse that is also a function?
o f(x) = 4x + 7
Oh (2) = 17
O j(x) = 3cº
O g(x) = 2 – 3
Answer:
G(x) = 2x - 3 has a linear inverse which is a function.
k(x) = -9x2 has a square root inverse that is a function on only the interval x < 0.
Step-by-step explanation:
The inverse of a function is a reflection across the y=x line. This results in switching the values of the input and output or (x,y) points to become (y,x). This can be done algebraically in an equation as well. Begin by switching the x and y in the equation then solve for y.
x = 2y - 3 -------> y = x/2 + 3/2 is linear and a function.
-9y2 = x --------> y = √(-x/9) is a square root that is a function on only the interval x < 0.
Absolute value does not have an inverse function.
x = -20 is a vertical line which is not a function.
Brainliest please?
Need answer asap pls help!!
Answer:
C, Or : This shows that it takes 2/3 of an hour to mow a lawn
Step-by-step explanation:
It simple. you just read the question. not that hard. .-.
HELPPPPPP PLEASEEEE!!!!!
Answer:
DE = 34
AC = 68
Step-by-step explanation:
since DE are midpoints, you can create this equation: 2(8x + 2) = 20x - 12
solve:
16x + 4 = 20x - 12
16x + 16 = 20x
16 = 4x
4 = x
plug this into both equations to find each side:
DE: 8(4) + 2 = 34
AC: 20(4) - 12 = 68
we know our answer is right because AC is twice as long as DE
What does 2/3 + 7/8 equal
Answer: 1 13/24
Step-by-step explanation:
We need to convert 2/3 and 7/8 to have a common denominator. They both have a common denominator of 24 so...
We convert:
2/3 x 8/8=16/24
7/8 x 3/3 = 21/24
Then we add:
16/24 + 21/24 =37/21
Then we convert to a mixed number:
37/24= 1 13/24
Please help! will give brainliest
Anna spins the spinner below 30 times, and it lands on C8 times.
If you were to spin the spinner 1,000 times, about how many times would you expect it to land on C? Would you expect it to land on C exactly that many times?
Answer:
Step-by-step explanation:
Lands on C on 8 out of 30 times = 4/15= .26666 times
we expected to land on C using theoretical probability 1/5 =.2 times
for 1,000 times it will be expect to land on C, 200 times because,
1*200 = 200 C : 5*200 =1,000 spins
we do not expected to land on C exactly 200 times yet we expected something close to that 200 number.
what equation would i use to find 5/9 of 39.6?
Answer:
( 39.6 * 5 ) / 9
Step-by-step explanation:
( 39.6 * 5 ) / 9 Equation
( 198 ) / 9 Done operation in brackets
22 Removed parenthesis
Find the slope
Please help
Answer:
C
Step-by-step explanation:
It rises and and runs (to the right) 3,
The full expression would be y = 8/3x +4
Hope that helps
Which two of the following numbers round to 36.2 if we're rounding to the nearest tenth?
Answer:
A + C
Step-by-step explanation:
what are the the constant term, variable term, coefficient terms of that equations? I NEED HELP!!!!
SOMEONE PLEASE HELP ITS WORTH 30 POINTS
Solving the Question
We're given the following expression:
[tex]-4.9t^2+22t+1.8[/tex]
First, let's define the different types of terms in an expression.
Constant term - an expression that does not contain any variables (ex. 5, 14²)Variable term - an expression that contains at least one variable (ex. 8x, 9x³)Coefficient term - the number that is multiplying the variable in a variable term (ex. in the term 9x³, 9 is the coefficient term)Let's look at the given equation again:
[tex]-4.9t^2+22t+1.8[/tex]
Knowing what the different types of terms are, we can identify them in this expression:
Constant terms: 1.8Variable terms: -4.9t², 22tCoefficient terms: -4.9, 22AnswerConstant terms: 1.8Variable terms: -4.9t², 22tCoefficient terms: -4.9, 2232% of what weight is 60 oz
Answer:
200 oz
Step-by-step explanation:
Just use the equation
0.32x=200
The number of 32% which result in 60 oz would be 18.75
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a' the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts.
We need to find the number that is state 32% of number weight is 60 oz
Let the unknown number is represneted by b.
It can be written by;
32% x b = 60
32/100 x b = 60
0.32 x b = 60
b = 60/0.32
b = 18.75
Therefore, the number would be 18.75
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Bob buys lunch at Chick Fil A for his friends on Tuesday. He buys 9 sandwiches and 5 drinks
and pays $44 total. Ben buys lunch on Friday and pays $70 for 15 sandwiches and 7 drinks.
What is the price for a sandwich and what is the price for a drink?
Answer:
A sandwich is $3.50 and the price of a drink is $2.50
Step-by-step explanation:
Create a system of equations where s is the price of a sandwich and d is the price of a drink:
9s + 5d = 44
15s + 7d = 70
Solve by elimination by multiplying the top equation by 7 and the bottom equation by -5, then adding them together:
63s + 35d = 308
-75s - 35d = -350
Add them together:
-12s = -42
s = 3.5
Then, plug in 3.5 as s into one of the equations to solve for d:
9s + 5d = 44
9(3.5) + 5d = 44
31.5 + 5d = 44
5d = 12.5
d = 2.5
So, a sandwich is $3.50 and the price of a drink is $2.50
Answer:
A sandwich is $3.50 and the price of a drink is $2.50
Step-by-step explanation:
Plz mark as brainliest it would be helpful
Ryan goes the mall with his friends after school. At the mall he purchases four pairs of basketball shorts and a pair of sneakers for $100 if he spends a total of $200 how much money did he spend on each pair of basketball shorts?
Answer:
$25.00
Step-by-step explanation:
200-100=100
100/4=25
Hey, Whats The answer please explain your answer marking brainliest:D Im tired....
This equation shows how the number of pies Wyatt can bake is related to the number of additional cups of sugar he buys. p=s + 93 The variable s represents the number of additional cups of sugar Wyatt buys, and the variable p represents the total number of pies he can bake. How many additional cups of sugar does Wyatt need in order to bake a total of 95 pies? additional cups of sugar
Answer:
2
Step-by-step explanation:
-3x-3y=3 ,y=-5x-17 solving systems by substitution
Answer:
(-4, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations by substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-3x - 3y = 3
y = -5x - 17
Step 2: Solve for x
Substitution
Substitute in y: -3x - 3(-5x - 17) = 3Distribute -3: -3x + 15x + 51 = 3Combine like terms: 12x + 51 = 3Isolate x term: 12x = -48Isolate x: x = -4Step 3: Solve for y
Define equation: y = -5x - 17Substitute in x: y = -5(-4) - 17Multiply: y = 20 - 17Subtract: y = 3