Answer:
See explanation
Step-by-step explanation:
Maximum weight = 20 kg
Bag 1 = 3.5kg
Bag 2 = 15 kg
Bag 3 = 2kg
Bag 4 = 1.5kg
Total weight of bags = 22 kg
Excess weight of his luggage = Total weight of bags - Maximum weight
= 22 kg - 20 kg
= 2 kg
Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100
= 2/20 × 100
= 0.1 × 100
= 10%
Express the excess weight as a percentage of his maximum weight allowed = 10%
In Reba's toy bin there are 15 red blocks. There are 16 more yellow blocks than red blocks. There are also 13 more blue blocks than red blocks. How many blocks are there in all?
Answer:
74
Step-by-step explanation:
16 more than 15 equals 31
13 more than 15 = 28
15 + 31 + 28 = 74
The weekly wages of employees of Volta gold are normally distributed about a mean of$1250 with a standard deviation of $120. Find the probability of an employee having a weekly wage lying 1) between $1320 and $970 2) over $1290 3) under $1400
Answer:
1) 0.7104 = 71%
2) 0.6615 = 66%
3) 0.8944 = 89%
Step-by-step explanation:
1)
Z(low)=-2.333 0.009815329
Z(upper)=0.583 0.720165536
2)
Z(low)=0.333 0.63055866
Z(upper)=8322.908 1
3)
Z(low)=-10.417 0
Z(upper)=1.25 0.894350226
what is the x? please answer!
Answer:
x = 2
Step-by-step explanation:
1. distribute 9 in 9(x+1)
9x + 9 = 25 + x
2. subtract x from the right side to isolate x onto one side
8x + 9 = 25
3. subtract 9 from the left side
8x = 16
4. divide both sides by 8 to get x alone
x = 2
Find the volume of the water tank shown.
Depth: 1.8 m
Diameter : 2.4m
Volume = ? m3 (nearest m3)
Answer:
Step-by-step explanation:
r = d/2
r = 2.4 m/2 = 1.2
h = 1.8
pi = 3.14
Volume = pi * r^2 * h
Volume = 3.14 * 1.2^2 * 1.8
Volume = 8.139
Volume = 8 to the nearest m^3
Please Help
Select the correct answer.
What is the slope of a line parallel to line r?
A. A line parallel to line r has an undefined slope.
B. 0
C. -1
D. 1
Answer:
B 0
Step-by-step explanation:
r is a horizontal line
horizontal lines are of the form y= constant
The slope for horizontal lines are 0
Parallel lines have the same slope.
Answer:
B 0
Step-by-step explanation:
the slope of a line is the rise divided by the run, or the Y increase divided by the X increase. the fact that the Y value does not increase makes the slope 0
Please see picture for question.
Answer:
7
Step-by-step explanation:
We know that a^b^c = a^(b*c)
7 ^ 1/5 ^ 5
7^ (1/5*5)
7^1
7
Determine the rule of a quadratic function in factored
form given the following information:
.
the zeros are (-2,0) and (4,0)
it passes through the point (5,14)
.
Answer:
[tex]y=2(x+2)(x-4)[/tex]
Step-by-step explanation:
Hi there!
Factored form: [tex]y=a(x-r)(x-s)[/tex] where r and s are two zeros
Given that the zeros are (-2,0) and (4,0), we know that -2 and 4 are r and s in the above equation. Plug these in:
[tex]y=a(x-(-2))(x-(4))\\y=a(x+2)(x-4)[/tex]
Now, to solve for a, plug in the given point (5,14) as (x,y):
[tex]14=a(5+2)(5-4)\\14=a(7)(1)\\14=7a\\a=2[/tex]
Therefore, a=2. Plug this back into the original equation:
[tex]y=2(x+2)(x-4)[/tex]
I hope this helps!
The sum of a number and 2 is 6 less than twice that number
Step-by-step explanation:
The first thing we have to do before we can actually do the problem is turn the words into a math equation.
If we use x as our "number," we see that "The sum of a number and 2" can also be written as x+2. The word "Is" almost always means (=), so now we have (x+2) = . The very last part, "6 less than twice that number," means 2x - 6.
So, our whole equation is, (x + 2) = (2x - 6), which simplifies to -x = -8, or
x = 8
Answer:
y = 8
Step-by-step explanation:
number = y
y + 2 = 2y - 6
y + 2 - 2 = 2y - 6 - 2
y = 2y - 8
y - 2y = 2y - 2y - 8
- y = - 8
- y × - 1 = - 8 × - 1
y = 8
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
B
Step-by-step explanation:
2 units to the right -> -2 in the brackets next to x
4 units down -> -4 as a constant at the end of the equation
[tex]\frac{3^4}{3^2}[/tex]
Simplify.
Answer:
[tex]9[/tex]
Step-by-step explanation:
Recall the exponent property [tex]\frac{a^b}{a^c}=(a)^{b-c}[/tex].
Therefore, simplify:
[tex]\frac{3^4}{3^2}=3^{4-2}=3^2=\boxed{9}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]9[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\\frac{3^4}{3^2}\\------------\\\text{Keep in mind: } \frac{m^a}{m^b} = m ^{a-b}\\\\\rightarrow \frac{3^4}{3^2}\\\\\rightarrow 3^{4-2}\\\\\rightarrow 3^2\\\\\rightarrow 3 * 3\\\\\rightarrow \boxed{9}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Factor 4n4 + n3. find the factor
Answer:
n^3( 4n+1)
Step-by-step explanation:
4n^4 + n^3
2*2*n^3*n + 1*n^3
Factor out the common terms
n^3( 4n+1)
I’m really struggling with this problem. Answer with step by step solution is highly appreciated
You can solve this question with this equation:
[tex]A = Pe^r^t[/tex]
plugging in 6 in the t variable:
[tex]A = 30 e^.^3^4^(^6^)[/tex][tex]A = 230.7 million[/tex]
(x-3).(x+3)-(x+5).(x-1)
Can you help me out plz
Answer:
An isometry preserves all the following except orientation .
Determining a Local Maximum and Minimum
Analyze the table of values for the continuous function,
f(x), to complete the statements.
A local maximum occurs over the interval __
A local minimum occurs over the interval ___
Answer:
x=-1x=-3Step-by-step explanation:
Algebra level
pls pls pls pls help me answer quickly
Break it into two shapes, a rectangle that is 7 x 10 x 6
And a triangle with a base of 12-10 = 2 and a height of 7
Volume of rectangle : 7 x 10 x 6 = 420
Volume of triangle: 1/2 x 2 x 7 = 7 x 6 = 42
Total volume = 420 + 42 = 462 cubic centimeters.
Answer: 462
Step-by-step explanation: 7 x 12 x 6 = 504 7 x 10 x 6 = 420
504 - 420 =84 84/2=42
420 + 42=462
Nicole Tobin receives a salary of $250
per week plus a commission of 15% of all
sales over $1,500. Find her earning
during a week in which sales totaled
$3,000.
Answer:
Earnings = 475
Step-by-step explanation:
She gets a straight salary of 250
She sold 3000 worth of merchandise 3000
She receives a commission on anything over 1500 Subtract
She gets a commission on 1500
15% of 1500 = 15/100 * 1500 225
Earnings 475
find the angle measures given the figure is a rhombus.
Answer:
92
Step-by-step explanation:
180-88
Anyone could please answer this??
Answer:
Ans no. 1 = 14/15
Ans no. 2= 1/192
PLEASE HELP DUE TODAY
Answer:
is it your homework?
Step-by-step explanation:
Factor.
20x2 – 19x + 3
Answer:
Here is your answer!
HELP ANSWER ASAP. what is the radius of a circle in which a 30 arc is 2pi inches long?
Answer:
I believe it's 12 in.
Step-by-step explanation:
hope this helps you!
On Saturday, the fruit and juice bar was selling 22 glasses of fruit punch an hour. By 4 p.m., they had sold 132 glasses. If their goal was to sell more than 264 glasses of fruit punch, which inequality can be used to find h, the number of hours they must stay open to make their goal?
A. 132 + 22h > 264
B. 22h < 264 + 132
C. 132 + 22h < 264
D. 132 + 264 > 22h
Answer:
A. 132 + 22h > 264
Step-by-step explanation:
Hourly sales = 22 glasses of fruit punch
Sales by 4 p.m = 132 glasses
Goal = more than 264 glasses
h = number of hours they must stay open to make their goal
The inequality:
132 + 22h > 264
22h > 264 - 132
22h > 132
h > 132/22
h > 6 hours
This means, the number of hours they must stay open to make their goal of more than 264 glasses is more than 6 hours
Q = (√x-5)² + (√x+4)-41
Answer:
. .
Step-by-step explanation:
x^2-9x√x-12
solve by using formula (a+b)^2 and open the brackets
Which applies the power of a power rule properly to simplify this expression?
Answer:
D.
Step-by-step explanation:
[7^(-8)]^(-4) =
A power raised to a power: multiply the exponents.
= 7^[(-8)*(4)]
= 7^(32)
Answer: D.
Answer:
7^32, the fourth option
Step-by-step explanation:
For the power rule, if you have a number to a power, for example [tex]x^{a}[/tex] and raise it to another power so it becomes, [tex](x^{a} )^{b}[/tex], We simplify by multiplying the powers together. So the simplified answer would be [tex]x^{(a*b)}[/tex].
Which of the following questions are true? Select two that apply.
Answer: A and C
Step-by-step explanation:
The other choices aren't correct because
B. [tex]x^{\frac{4}{5} } =\sqrt[5 ]{x^{4}}[/tex]D. [tex](\sqrt{x^{3} } )^{8}=(x^{\frac{3}{2} } )^{8}=x^{\frac{24}{2} } =x^{12}[/tex]I need 26/50 simplified so I can answer an assignment
hlppppppppppppppp mehhhhhhhhhhhhhhh
Answer:
120
Step-by-step explanation:
Given,
t = 2
s = 10
3 t^2 s
= 3 x 2^2 x 10
= 3 x 4 x 10
= 120
Answer:
Step-by-step explanation:
Hello!
t² = 2²=4
3*4*10 = 120
Can someone explain this / answer it? 18 POINTS + Brainliest
Answer:
I believe it is because he has exhausted all the different ways to use the 18 m he has. Look below.
Step-by-step explanation:
He has 18 m of wood and he has done:
8+8=16 1+1=2 16+2=18
7+7=14 2+2=4 14+4=18
6+6=12 3+3=6 12+6=18
5+5=10 4+4=8 10+8=18
So he has no more ways to use the 18 m of wood and has exhauseted all the ways.
Please mark brainliest
Monique made several batches of soup for a potluck supper. Each batch required Three-fourths of a pound of potatoes, and she used a total of 6 and one-half pounds of potatoes. How many batches of soup did Monique make?
Which division and multiplication problems could represent this scenario? Check all the apply.
Answer:
Number of batches of soup = 8 2/3 batches
Step-by-step explanation:
Each batch of soup = 3/4 pounds of potatoes
Total pounds of potatoes available = 6 1/2 pounds
How many batches of soup did Monique make?
Number of batches of soup = Total pounds of potatoes available / Each batch of soup
= 6 1/2 pounds ÷ 3/4 pounds
= 13/2 ÷ 3/4
= 13/2 × 4/3
= (13 * 4) / (2 * 3)
= 52/6
= 8 4/6
= 8 2/3
Number of batches of soup = 8 2/3 batches
Answer:
B 13/2 divided by 3/4
E 13/2 (4/3)
