Answer:
43/8 or 5 and 3/8
Step-by-step explanation:
This is because if you find the lcd, its 24. 36/6, or 6, in 24 is 144/24.
5/8 is 15/24.
144/24-15/24 is 129/144, which simplified is 43/8, or 5 and 3/8
Find the unit rate for each problem
Answer:
1. 3 tacos per person
2. 8 chairs per table
3. 6 avocados per bag
Step-by-step explanation:
1. Divide 45 by 15 to get the unit rate: # of taco per person.
45 = 15x
45/15 = 15x/15
3 = x
3 tacos per person
2. Divide 72 by 9 to get the unit rate: # of chairs per table.
72 = 9x
72/9 = 9x/9
8 = x
8 chairs per table
3. Divide 42 by 7 to get the unit rate: # of avocados per bag.
42 = 7x
42/7 = 7x/7
6 = x
6 avocados per bag
One person can mow a lawn in 30 minutes. A second person requires 45 minutes to mow that lawn. How long will it take the two people, working together, to mow the lawn?
Answer: 16 1/4 minutes
Step-by-step explanation:
Let A be the mowing rate for the first person, and B the rate for the second. X will be the time spent mowing.
We are told that A = 30 min/lawn. B = 45 min/lawn. These are conversion factors, so we can invert them to:
A = 1 lawn/30 min. B = 1 lawn/45 min
If both work together, the amount of lawn that is mowed working togehterwould be the time, X (in minutes), spent times their individual rates:
X*(A + B) = Lawn Mowed
We want to know the time, X, it would take to mow the same 1 lawn together. [Lawn Mowed = 1]. Use the equation:
X*(A + B) = Lawn Mowed
X*((1 lawn/30 min) + (1 lawn/45 min)) = 1
X/(30 min) + X/(45 min) = 1
X/30 + X/45= 1
X + X(30/35) = 30 {Multiply both sides by 30]
(1 + 30/35)X = 30
(65/35)X = 30
X = 30*(35/65)
X = 30/(7/13)
X = 30*(7/13)
X = 210/13
X = 16 1/4 minutes
What is 1 and 1/4 - 3/8?
Answer:
7/8
Step-by-step explanation:
1 and 1/4 would equal 5/4. This would be 5/4-3/8, which equals 10/8-3/8=7/8
Answer:
0.875
Step-by-step explanation:
14. Write an equation for the line in slope-intercept form.
Answer:
y equals -2x plus 8
Step-by-step explanation:
Without graphing, find the slope of the line that goes through (2,-1) and (6,1)
Answer:
-7
Step-by-step explanation:
Y2 - Y1 / X2 - X1
-1-6/2-1
-7/1
= -7
Please, help me with this question
Answer:
x=0
Step-by-step explanation:
2.5^2x = 1
2.5^2x=2.5⁰
2 x = 0
x=0
I really need help with this and happy thanksgiving
Answer:
C (-2,2)
D (1,-2)
Step-by-step explanation:
happy thanksgiving!
If S = 1/2, what number does 4s equal?
Step-by-step explanation:
If [tex]s=\frac{1}{2}[/tex], then:
[tex]4s=4(\frac{1}{2})\\\\4s=\frac{4}{2}\\\\4s=2[/tex]
The number 4S equals if S = 1/2 is 2, 4S = 2.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given:
S = 1 / 2
Calculate the value of 4S as shown below,
4 × S = 4 × 1 / 2
4S = 2
Thus, 4S = 2
To know more about multiplication:
https://brainly.com/question/1135170
#SPJ2
What is the perimeter of a regular decagon with sides of 14 inches?
Answer:
140 inches
Step-by-step explanation:
one decagon has 10 sides
14*10= 140
which expression is equivalent to 1/2b-15
Answer:
b/2-15
or
-15+1/2b
or
b:2-15
Step-by-step explanation:
which expression is equivalent to 1/2b-15
b/2-15
or
-15+1/2b
or
b:2-15
A pyramid has a square base of length of 12m. Given the slant height of the pyramid is 15 m, draw its net and hence, find its total surface area.
Answer:
the surface area is 180 if u use multiplication
Step-by-step explanation:
the surface is 0.8 if you use devide
the surface is 3 if u use subtract
and the surface is 27 if you use addition
correct me if I'm wrong :)
Conor earns $9 an hour for yard work. He raked leaves one afternoon and earned $29.25.
How much does Conor earn for each minute he does yard work?
Hint: There are 60 minutes in 1 hour.
29.25 divided by 9 is 3.25. You have to take the total amount of money he made $29.25 and divide it by the amount he gets every hour $9. So 29.25 divided by 9 is 3.25 or 3 hours and 15 minutes.
Answer:
15 cents a minute
Step-by-step explanation:
9 ÷ 60 = $0.15
Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating. 20% tip on a bill of $123.42 The amount of the tip is approximately $
Answer:
$24
Step-by-step explanation:
First, we round to the nearest tenth.
$120
Now, we calculate the tip amount.
[tex].20 * 120 = 24[/tex]
Answer number 11 to see if your smarter than my students
the awnser 2=2=2=2=22=2=2=2=2=2+0+7867+
The square of the sum of two numbers is 144 and the sum of their squares is 80. Find the numbers.(Use completing the square method)
Please help me
Answer:
Step-by-step explanation:
(x + y)^2 = 144
x^2 + y^2 = 80
----
x + y = 12 ---> y = 12 - x
x^2 + y^2 = 80
x^2 + (12-x)^2 = 80
2x^2 - 24x + 64 = 0
x^2 - 12x + 32 = 0
x = 4, x = 8
y = 8, y = 4
============================
x + y = -12 ---> y = -12 - x
x^2 + y^2 = 80
x^2 + (-12-x)^2 = 80
2x^2 + 24x + 64 = 0
x^2 + 12x + 32 = 0
x = -4, x = -8
y = -8, y = -4
-------------
One number is + or -4, the other is + or -8,
and the absolute value of the sum is 12.
Answer:
(4,8);(8,4);(-4,-8);(-8,-4)
Step-by-step explanation:
Ok, let's start writing down the two conditions:
[tex]\left \{ {(x+y)^2 = 144} \atop {x^2+y^2=80}} \right.[/tex]
Mumble. The second almost look like a square, if only there was the [tex]2xy[/tex] term. Let's add (and subtract, so we aren't creating something new) term to the second:
[tex](x+y)^2-2xy = 80[/tex] But we know what the first term is, it's 144. Let's replace and do some number tricks to get:[tex]144-2xy=80 \rightarrow 72-xy=40\\72-40=xy \rightarrow xy=32[/tex]
At this point, let' stare at it for a while. You can tell that the system is simmetrical (if you replace x with y you still get a solution). Moreover, x and y have the same sign: it means that if (a,b) is a solution, then also (b,a), (-a,-b) and (-b, -a) are solutions, and since it's a 4th degree system (the degree of a system is the product of the degrees of the single equations, and they're both quadratic) there are no other solution.
Let's find one pair then. We're tasked to find two numbers that sum to [tex]\sqrt{144} = 12[/tex] and whose product is 32. that is, the root of the polynomial
[tex]z^2+12z+32= (z+4)(z+8)[/tex] (or if you can't see the factors right away, bruteforce it with quadratic formula, it's always good practice). That tells us that one of the two is -4, and the other is -8. From what we said above, the solutions are by combining them with plus or minus.
[tex](4,8);(8,4);(-4,-8);(-8,-4)[/tex]
Is this true or false? The following graph represents a proportional relationship: (1 point)
Answer:
where is the graph??
Step-by-step explanation:
i have no picture soooo like
Please help me. I’m so confused
Answer:
probably 2.............
What is the area of the shaded portion of the square?
Answer:
Maybe 34cm
Sana makatulong..
The ratio of roses to carnations to daisies in
a flower bouquet is 2:5:6. The bouquet has
39 flowers. How many carnations are in the
bouquet?
Answer:
10
Step-by-step explanation:
10 10 10 1010 10 101 10 10 1o
2. The number of gallons y a pool drains in x minutes is represented by the function y = 20x. The table shows the time it takes to fill up a pool. Determine whether the function is proportional or non-proportional. Explain.
Answer:
Yes, it is proportional because the number of gallons filled is always 15 times the number of minutes.
4. Jenny sells two types of lanyards, solid color or
striped. She charges more for striped lanyards than
for solid color lanyards. The amount of money, in
dollars, that she collects from selling x lanyards of
one type and y lanyards of the other type can be
modeled by the expression 3x + 5y.
What does the variable y represent in this
situation?
A. The number of solid color lanyards sold.
B. The number of striped lanyards sold.
C. The selling price of one solid color lanyard.
OD. The selling price of one striped lanyard.
Answer:
The selling price of one striped lanyard
Find a
rational number between 3 and pi
Answer:
3.1
Step-by-step explanation:
Which point on the number line represents a loss of 5 yards in a football game? (number line is on picture)
A) Point A
B) Point B
C) Point C
D) Point D
please help me with this! it’s in need
Define the sample space, S, of a fair coin being tossed once.
S=
A. {H, T}
B. {H, H}
C. {T, T}
Answer:
S = { H,T }
Step-by-step explanation:
Sample space is these two outcomes
x+3y=23
x-2y= -17
help elimationmethod
Answer:
1. 20
2.19
ok that will help you
6) Convert 2pie/3 to degrees
A) 30°
B) 60°
120°
D) 240°
Peter made 19 1/8 cups of chili for the
football game. If 14 3/4 cups of the chili were
eaten, how many cups of chili did Peter have left over
have left over?
Answer:
4.38, aka 219/50
Step-by-step explanation:
2x+10=4.what are the steps to follow as to get the actual value of X
How do the expressions 2q2−3p and 2(p+q)/q compare when p = 8 and q = 4?Drag a symbol into the box to correctly complete the statement.2q2−3p Response area 2(p+q)/q when p = 8 and q = 4.=<>
Answer:
The answer is ">"
Step-by-step explanation:
I took the quiz epicly
Answer:
>
Step-by-step explanation:
Write the equation of the line passes through the point (10, 2) and is perpendicular to the line: y=-5x+7
Please show work
Answer:
Perpendicular line: y = ⅕x + 0 or y = ⅕x
Step-by-step explanation:
Given the point, (10, 2), and the linear equation, y = -5x + 7:
In order to find the equation of the perpendicular line that passes through (10, 2), we must first determine the definition of perpendicular lines.
Definition:Perpendicular lines have negative reciprocal slopes ⇒ this means that when you take and multiply the slopes of both lines, it results in a product of -1.
In other words, since the slope of the given line, y = -5x + 7 is m₁ = -5, then it means that the slope of the other line must be m₂ = ⅕ because:m₁ × m₂ = -1
-5 × ⅕ = -1
Solution:Now that we have the slope of the other line, m₂ = ⅕, and the given point, (10, 2), substitute these values into the slope-intercept form to solve for the y-intercept, b :
y = mx + b
2 = ⅕(10) + b
2 = 2 + b
Subtract 2 from both sides:
2 -2 = 2 -2 + b
0 = b
Hence, the y-intercept is b = 0.
Equation:The linear equation of the perpendicular line that passes through point (10, 2) is: y = ⅕x + 0 or y = ⅕x