Which decimal is closest to the dot marked on the number line?
Is 10 irrational or rational
Answer:
Rational
Step-by-step explanation:
An irrational number is a number that goes on forever, such as pi. These numbers have infinite decimals.
In contrast, a rational number is a number that can be created by dividing two other integers.
These numbers do not go on forever.
10 is a rational number because it can be created by dividing 2 other integers, and it does not go on forever.
Solve for x in the equation below.
-3x + 2 = -7
Answer:3
Step-by-step explanation:
-3x+2=-7
subtract 2 from both sides
-3x+2-2-(-7-2
simplify the arithmetic
-3x=-7-2
simplify the arithmetic aging
-3x=-9
=3
Use the distributive property to remove the parentheses.
-7(v– 3y-6)
Answer:
-7v+21y+42
Step-by-step explanation:
What is the exponential form of the following expression?
(–5)(–5)(–5) · c · c · c
Answer: -5^3
Step-by-step explanation:
The Thomas family likes to visit Everglades National Park, the largest tropical wilderness in the U.S., which partially covers the Miami-Dade, Monroe, and Collier counties in Florida. They hold an annual pass that cost $40.00. Each canoe rental costs $26.00 and each bicycle rental costs $15.00. Use an algebraic expression to describe how much they spend in a year based on the annual pass, the number of canoes rentals, and the number of bicycle rentals. Identify the parts of the expression by underlining the coefficient(s), circling the constant(s), and drawing a box around the variable(s).
Answer:
z = 40 + 26.00x + 15.00y
Coefficients: 26.00, 15.00
Constant: 40
Variables: z, x, y
Step-by-step explanation:
Let x be the number of canoe rentals and y be the number of bicycle rentals.
(The family can hold only one annual pass, so we don't need a variable for that. Rather, we'll use a "constant." But the number of bicycle/canoe rentals can change!)
Let z be how much the family spends in a year.
The family spends $26 for each canoe rental, so
26.00x for x canoe rentals
Similarly, 15.00y for y canoe rentals
So z = 40 + 26.00x + 15.00y
The coefficients are the 26.00 and the 15.00. Coefficients are the numbers attached to the variables.
The constant is 40. A constant is a number by itself.
The variables are z, x, and y. Variables are our unknowns.
9(g? - 1)
Nbshdjsjsjhssns
9a^2 - 9
Uejdjeujdksjdndkdkdk
A drink name with 3 letters
Answer:
tea
Step-by-step explanation:
just cuz lol
Answer:
Gin
Step-by-step explanation:
find the value of x
x = [?]
Answer
4
Step by step explanation
2/3=x/10-x
cross multiply
2(10-x)=3x
20-2x=3x
20=3x+2x
20=5x
x=4
√5•√10
PLEASE SHOW STEP BY STEP ON HOW YOU GOT YOUR ANSWER
Answer:
[tex] \sqrt{5} \times \sqrt{10} \\ = \sqrt{5} \times \sqrt{2 \times 5} \\ = \sqrt{5} \times \sqrt{2} \times \sqrt{5} \\ = 5 \sqrt{2} \\ thank \: you[/tex]
I ate 80 pieces of candy in the bag. If I ate 2/3 pieces of candy in the bag, how much candy would I have left
Answer:
[tex]thank \: you[/tex]
The number of candies left in the bag is given by the equation n = 40 candies
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as n
Now , the value of A is
The number of candies which were eaten = 80 candies
The fraction of candies that were eaten = 2/3
So , ( 2/3 ) of the total = 80
( 2/3 )A = 80
Multiply by 3 on both sides , we get
2A = 240
Divide by 2 on both sides , we get
A = 120 candies
Now , the number of candies that were left n = total number of candies - number of candies that were eaten
On simplifying the equation , we get
The number of candies that were left n = 120 - 80
The number of candies that were left n = 40 candies
Hence , the number of candies that are left is 40 candies
To learn more about equations click :
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tell whether the statement is always, sometimes, or never true for real numbers a, b, and c.
(a+ b) + c = a + (b + c)
Answer:
true
Step-by-step explanation:
a,b,c is constant
Find the area of the region enclosed by
Answer:
7.5 -ln(0.25)
Step-by-step explanation:
We can first graph this function. Looking at the graph, we can separate this into two ranges -- from x=0.25 to x=1 and from x=1 to x=4.
From x=0.25 to x=1, we want to find the area above y=1/x and below y=4. To do this, we can take the integral of y=4 from x=0.25 to x=1 to encompass the whole area under y=4 from that range. Then, we subtract the area under y=1/x as we don't need that (we only want what's above it). Therefore, we have
[tex]\int\limits^{1}_{0.25}{4} \, dx - \int\limits^{1}_{0.25} {1/x} \, dx \\= 4(1) - 4 (0.25) - (ln(1) - ln(0.25))\\= 4 - 1 - ln(1) + ln(0.25)\\= 3 - ln(1) + ln(0.25)[/tex]
Next, we know that ln(x/y) = ln(x) - ln(y), so ln(0.25) - ln(1) = ln(0.25/1) = ln(0.25), so we have
3 - ln(0.25)
For x=1 to x=4, we want to find the area above y=x and below y=4. We can apply a similar strategy, subtracting the area below y=x from the area below y=4 to get
[tex]\int\limits^{4}_{1}{4} \, dx - \int\limits^{4}_{1} {x} \, dx \\ \\= 4(4) - 4(1) - (4^{2} /2 - 1^2/2)\\= 16 - 4 - 8 + 0.5\\= 4.5[/tex]
Add these two areas up to get
3-ln(0.25) + 4.5 = 7.5 -ln(0.25)
You have 32Tbsp of peppercorns. You need 0.25tsp to make one serving of beef brisket. How many servings can you make?
Answer:
128 servings
Step-by-step explanation:
help for 15 points . ill up it
Step-by-step explanation:
Let [tex]P_1(-1, -8)\:\text{and}\:P_2(-4, -9)[/tex]
The slope of the line through these two points is
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{(-9 + 8)}{(-4 + 1)} = \dfrac{1}{3}[/tex]
So the slope-intercept form of the line passing through the two points is
[tex]y = mx + b = \frac{1}{3}x + b[/tex]
To find b, we use either point into our equation. Let's use (-1, -8):
[tex]-8 = \frac{1}{3}(-1) + b \Rightarrow b = -\dfrac{23}{3}[/tex]
Therefore, the slope-intercept form of the equation for the line is
[tex]y = \dfrac{1}{3}x - \dfrac{23}{3}[/tex]
The standard form of the equation can be written as
[tex]x + 3y + 23 = 0[/tex]
the area of a triangle is 6.75m. if the base of the triangle is 3m what is the height of the triangle?
Answer:
4.5m
Step-by-step explanation:
The formula for triangle is
1/2 x base x height = area
1/2 x 3 x h = 6.75m
h = 6.75 ÷3÷1/2
h = 4.5m
if f(x)=3x+8/2x-Aand f(0)=2.what is the value of a?
Answer:
[tex]a=-4[/tex]
Step-by-step explanation:
Since [tex]f(x)=\frac{3x+8}{2x-a}[/tex], we have
[tex]2=f(0)=\frac{3(0)+8}{2(0)-a}=-\frac8a[/tex]
Taking the reciprocal gives
[tex]-\frac a8=\frac12[/tex]
Then multiplying by [tex]-8[/tex] gives
[tex]a=\frac12(-8)=-4[/tex]
[tex]-7+1[3+8(2^2-8)][/tex]-7+1[3+8(2^2-8)]
Answer:
-36
Step-by-step explanation:
-7+1[3-32]
= -7-29
= -36
I also need an explanation please
(A)
Step-by-step explanation:
The meal cost $45.25 so 20% of this for tip is
($45.25)(0.20) = $9.05. Since the tip is split between 4 friends, divide this tip by 4 and each one paid ($9.05/4) = $2.26.
Integration of x+4/(x+2)"2
Answer:
is this u want?
Step-by-step explanation:
if no so sorry..
Will give brainliest
Combine like terms to simplify the
equation below.
4a - 2a + 6b + 2a
=
[?]a +
[ ]b
Write an inequality? Help me please
Half a number is more than 20.
Answer:
1/2 x > 20
Step-by-step explanation:
Let x be the unknown number
1/2 x > 20
32 to nearest houndred
HELPPPP ASAPPPPPPPPPPPPPP!!!!!!!!
Answer:
1/2 plus 5/6 would equal 8/6 cause six is the lowest denominator so then you times 8/6 by 3 and the 2/9 by 2 and that would give you 24/18 and 4/18 and you subtract them together to 20/18 or 1 2/18
Step-by-step explanation:
1/2 plus 5/6 would equal 8/6 cause six is the lowest denominator so then you times 8/6 by 3 and the 2/9 by 2 and that would give you 24/18 and 4/18 and you subtract them together to 20/18 or 1 2/18
1/2 = 3/6
5/6 + 3/6 = 8/6
8/6 x 3 = 24/18
2/9 x 2 = 4/18
24/ 18 - 4/18 = 20/18 or 1 and 2/18
can i get some help in here please
Answer:
Step-by-step explanation:
(4c1×6c4)+(4c2×6c3)+(4c3×6c2)+(4c4×6c1)
(4×15) +(6×20) +(4×15) +(1×6)
60+120+60+6
246 ways
I need some help I’ve been trying to figure this out for a while now and I keep coming up with different answers. Match the pairs of equivalent expressions.
Answer:
dccxxydffffyyyrtttttttyhg
100,000 x $15 ?!!!?!?!?
Answer:
100,000 x $15 = 1.5 million US$
Find the solution to the system of equations.
-8x + 4y = 24
-7x + 7y = 28.
please answer accurately with full explanation. don't spam
Answer:
x = -2, y = 2
Step-by-step explanation:
-7x + 7y = 28
7y = 28 + 7x
y = 4 + x ----(1)
-8x+4y=24 -----(2)
sub (1) into (2)
-8x+4(4+x)=24
-8x+16+4x = 24
-8x+4x = 24-16
-4x = 8
x = -2
sub x = -2 into (1)
y=4+(-2) = 2
Answer:
1) 2x - y + 6 = 0
2) x - y + 4 = 0
Step-by-step explanation:
1) -8x + 4y = 24
= -8x + 4y - 24 = 24 - 24
= -8x + 4y - 24 = 0
= (-8x + 4y - 24) ÷ 4 = 0 ÷ 4
= -8x ÷ 4 + 4y ÷ 4 - 24 ÷ 4 = 0
= -2x + 4y ÷ 4 - 24 ÷ 4 = 0
= -2x + y - 24 ÷ 4 = 0
= -2x + y - 6 = 0
= 2x - y + 6 = 0
2) -7x + 7y = 28
= -7x + 7y - 28 = 28 - 28
= -7x + 7y - 28 = 0
= (-7x + 7y - 28) ÷ 7 = 0 ÷ 7
= -7x ÷ 7 + 7y ÷ 7 - 28 ÷ 7 = 0 ÷ 7
= -7x ÷ 7 + 7y ÷ 7 - 28 ÷ 7 = 0
= -x + 7y ÷ 7 - 28 ÷ 7 = 0
= -x + y - 28 ÷ 7 = 0
= -x + y - 4 = 0
= x - y + 4 = 0
Simplify the following expression and show your work in details please .
Answer:
9-2b
Step-by-step explanation:
Set up equation:
[tex]9 - 8b + 6b[/tex]
Add like terms
[tex]9 - 2b[/tex]
if the breadth of rectangle in one third of it's length and perimeter is 80 cm,find the length and breadth of rectangle