Answer:
6x + 12 - (3x - 7)
6x + 12 - 3x + 7
3x + 19
Step-by-step explanation:
Simplifying
6x + 13 + -3x + -7 = 0
Reorder the terms:
13 + -7 + 6x + -3x = 0
Combine like terms: 13 + -7 = 6
6 + 6x + -3x = 0
Combine like terms: 6x + -3x = 3x
6 + 3x = 0
Solving
6 + 3x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 3x = 0 + -6
Combine like terms: 6 + -6 = 0
0 + 3x = 0 + -6
3x = 0 + -6
Combine like terms: 0 + -6 = -6
3x = -6
Divide each side by '3'.
x = -2
Simplifying
x = -2
Sales tax charged for a wallet was $2.45. The tax rate is 0.05%. Find the cost of the wallet. Show your work, show all of your steps.
Answer:
50
Step-by-step explanation:
A closed rectangle box with a volume of 16 3 ft is made from two kinds of materials. The top and bottom are made of material costing 10 cents/ 2 ft and the sides from material costing 5 cents/ 2 ft . Find the dimensions of the box so that the cost of the materials is minimized. [Hint: The cost of each side is equal to the area of the side times its unit price]
Answer:
The dimensions of the box are;
2 feet, by 2 feet, by 4 feet
Step-by-step explanation:
The given parameters are;
The volume of the closed box = 16 ft³
The material with which the top is made = The material with which the bottom is made
The cost of the material with which the top and bottom is made = 10 cents/(ft.²)
The cost of the material with which the side is made = 5 cents/(ft.²)
Let 'x', 'y', and 'z' represent the length, width, and height of the material, we have;
x·y·z = 16...(1)
The total cost of the box = 2×10×x×y + 2×5×x×z + 2×5×y×z
∴ The total cost of the box = 20·x·y + 10·x·z + 10y·z...(2)
From equation (1)
z = 16/(x·y)
Therefore, we have;
20·x·y + 10·x·z + 10y·z. = 20·x·y + 10·x·16/(x·y) + 10y·16/(x·y)
20·x·y + 160/(y) + 160/(x)
Differentiating, we get;
f'(x) = 20·y - 160/x²
f'(y) = 20·x - 160/y²
20·y - 160/x² = 0
y = 8/x²
20·x - 160/y² = 0
x = 8/y²
∴ x = 8/(8/x²)² = x⁴/8
8 = x⁴/x = x³
x = ∛8 = 2
The length, x = 2 feet
y = 8/x² = 8/2² = 2
The width, y = 2 feet
z = 16/(x·y) = 16/(2 × 2) = 4
The height of the box, z = 4 feet
Therefore, the dimensions of the box are 2 feet, by 2 feet, by 4 feet.
The price of an item has been reduced by 35%. The original price was $25.
Step-by-step explanation:
what thanks for free points btw
Answer:
not sure ans sorry if its wrong but i think its 8.75
A towns population went from 40,000 to 50,000. What was the percent of change in the population?
Answer:
The percent of change in the population was of 25%.
Step-by-step explanation:
Percent change:
The percent change is given by the change multiplied by 100, and divided by the initial value.
A towns population went from 40,000 to 50,000.
Change: 50000 - 40000 = 10000
Initial value: 40000
10000*100/40000 = 25%
The percent of change in the population was of 25%.
I bye a notebook for $8.00. It is on sale for 20% off.
What is the sale price?
Answer:
$6.40
^w^ -ash
Andre is waiting for the school bus. He knows that 2 out of 6 cars in his town are white. He wants to determine the probability that at least two white cars drive by in a row. He uses a number cube as a simulation. He lets the numbers 1 and 2 represent a white car and lets all other numbers represent a car that is not white. He rolls the number cube 6 times and records the outcomes in the table below.
Trial Number Outcome
1 4, 3, 6, 1, 2, 4
2 5, 5, 1, 3, 6, 6
3 2, 5, 4, 4, 1, 3
4 6, 1, 5, 6, 6, 4
5 2, 1, 2, 6, 4, 5
6 3, 3, 1, 4, 2, 6
7 1, 5, 6, 2, 2, 3
8 3, 6, 4, 3, 4, 4
9 1, 1, 2, 1, 5, 6
10 4, 3, 3, 1, 5, 2
Based on the data, what is the probability that at least 2 white cars drive by in a row?
____%
Answer: hi
Step-by-step explanation:
Which of these is something you can pay for with the money in a savings account?
WHOEVER GET'S THIS QUESTION RIGHT I WILL GIVE A BRAINLIEST
The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths. Find the volume of the right rectangular prism in centimeters. (Figure not to scale)
A)
12 1 / 2 cm^3
B)
45 cm^3
C)
67 1 / 2 cm^3
D)
85 cm^3
Answer:
c. 67.5 cm^3
Step-by-step explanation:
V=whl
v=5*3*4.5
v=15*4.5
v=67.5 c^3
So C would be correct
Hope i helped, Brainliest would be appreciated!
Have a nice day!
-Aadi x
A boat travels 20 miles in 5 hours
(with a constant speed). How far can it
travel in 53 hours (with the same
speed)?
Answer:
212 miles
Step-by-step explanation:
the boat is going 4mph so in 53 hours it would be 212mi
The botanist would like to estimate the average weight of mustard seeds grown in a certain type of soil; weight of the seeds is known to follow a normal distribution. The botanist collects a random sample of 10 mustard seeds and finds that the sample average and sample standard deviation are 528 mg and 49 mg respectively. Select from the following the correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data.
a. (480.1, 539.9)
b. (525.2, 534.8)
c. (479.4, 540.6)
d. (473.6, 546.4)
e. The necessary assumptions have not been satisfied and the calculation cannot be performed.
f. (469.4, 550.6)
Answer:
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.833
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.833\frac{49}{\sqrt{10}} = 28.4[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 528 - 28.4 = 499.6 mg
The upper end of the interval is the sample mean added to M. So it is 528 + 28.4 = 556.4 mg
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
Find the surface area of the prism
Answer:
dont you just add the numbers...?
There are 16 cans of soda. One eighth are Coke. How many Cokes
Answer:
2 cans are cokes.
Step-by-step explanation:
16/1 (total cans) * 1/8 (the amount that are coke) = 16/18 = 2
which set of points lie on the given graph?
• (-3, 9), (-1, 5), (3, 3)
• (3, 9), (1, -5), (3, 3)
• (3, 9), (-1, 5), (3, 3)
• (-3, 9), (-1, 5), (3, -3)
What is the answer?
Answer: D
Step-by-step explanation:
First, you have to multiply 2 by 7, because m=7. Then you have to multiply7 by -1 because n=-1. So on the top, you will get 14- -7. Now on the bottom, its just 7 + -1, which is 6. When there is a minus sign and a negative sign next to each other, for example 14- -7, you have to add. Next, you had 14 and 7 to get 21. Finally, you have to divide 21/6 and you get 3.5, which as a fraction is 7/2.
hope this helps :)
Which of the following is equivalent to the complex number i24?
Answer: 1
Step-by-step explanation:
Rewrite as (i^4)^6
Rewrite i^4 as 1
Rewrite i^4 as (i^2) ^2
((i^2)) ^2)6
Rewrite i^2 as -1
((-1) ^2) 6
Raise -1 to the power of 2
1^6
One to any power is 1.
what is the range of h
Answer:
-4 to 6
Step-by-step explanation:
The range is the y-axis, unlike the domain which is on the x-axis. So th points would go from -4, the lowest point, to 6 the highest point. If you need to specify, say intervals of 2 as -4 goes to -2, and 2 goes to 4.
Is 4(7-1) and 28-1 equal?
Answer:
fasdfjahlskfhkajshf
Step-by-step explanation:
jfdlhgkdfhgldfhg lsdfjhgsdhflhg klsfdhgjdsfhgkdfhgh
∑⊥⇆Ф↑↓∩¬║⊅α∨∧
(testing answer, sorry for that)
given. Round
The first three terms of a sequence are
to the nearest thousandth (if necessary).
1 , 5/4 , 25/16 find the 7th term.
Answer:
[tex] \frac{15625}{4096} [/tex]
Which rule should be applied to reflect f(x)=x^3 over the line y=x?
Answer:
if y=x
than f(x)=x³
be
f(y)=y³
Answer:
y = x
f(x) = x³
f(y) = y³
pls help me with this math question pls its hard i want the explanation pls
Answer:
Take the angle above 128° as x.
x = 180 - 128 (linear pair)
x = 52°
a = ?
a = 180 - ( 52 + 73 ) ( the angles in a triangle add up to 180° )
a = 180 - 125
a = 55°
Megan wants to spend no more than $300 planning a party. She spent $75 on food and wants to buy decorations that are $10 each. How many decorations can she buy
Answer:
Step-by-step explanation:
10x + 75 ≤ 300
10x ≤ 225
x ≤ 22.50 on decorations
Please solve this :)
Answer:
=25+2squared
Step-by-step explanation:
simple like terms
36-11=25
-5squared+7squared=2squared
=25+2squared
Answer:
49
Step-by-step explanation:
[tex]36 - {5}^{2} + {7}^{2} - 11[/tex]
[P.E.D.M.A.S rule] (First exponents)
= 36 - 25 + 49 - 11. (Then addition)
= 36 + 49 - 25 - 11
= 85 - 36. (At last subtraction)
= 49 (Ans)
what's 1+1 plese my mom is going to tak away my tablet and I'll even mark yo branlyist
Answer:
2
Step-by-step explanation:
Imagine you have 1 cookie, and then you have another cookie.
1 cookie and then another cookie is 2 cookies.
Connie’s kindergarten class has 24 children. She wants them to get into 4 equal groups. How many children will she put in each group?
Answer:
six children
Step-by-step explanation:
six children in four groups, total of 24 children
24/4=6
Answer:
6
Step-by-step explanation:
because 24÷4=6 that is the answer
work out m and c for the line y= x+4
Answer:
M = 1, C = 4
Step-by-step explanation:
Just take note that all linear equation have the form Y = Mx + C.
Here you can read directly from the equation given.
i have $2 in my pocket what might be in my pocket (number puzzle)
Answer:
$2
Step-by-step explanation:
write equations for lines
y=mx+b
y-y1=m(x-x1)
Ax+By= C
The arc length of this circle is 9.42 inches. Determine the length of the radius.
Complete your work in the space provided.
Answer:
Radius = 5.996958 (They probably just want “6”).
Step-by-step explanation:
9.42x4=37.68 (perimeter)
Perimeter=2[tex]\pi[/tex]r
37.68÷2[tex]\pi[/tex]=r
5.996958=r
Calculate the rate per litre at which a car uses petrol,if it uses 20l of petrol to travel 180 km
Answer:
1 L of petrol is used to travel 9 km.
Step-by-step explanation:
You can find the answers through the ratio method
20 L : 180 km
1 L : x
( x is the number we must find )
20 x = 180
x =
x = 9 km
Leonardo puts $450 in a bank account that earns 3.5% simple interest. How much interest will he earn in four years?
Answer:
$63
Step-by-step explanation:
Answer:
$63
Step-by-step explanation: