Answer:
A
Step-by-step explanation:
Commutative Property(a + b) + c = c + (a + b)(40.50 + 56.95) + 25.75 ; 25.75 + (40.50 + 56.95) correctly represent the situation using the commutative property.
what will 7dozen of pencil cost at 1k per dozen
Answer: $7000
Step-by-step explanation:
7 * 1000 = $7000
x is an acute angle. Find the value of x in degrees.
COS x=0.2
write your answer as an integer or as a decimal rounded to the nearest hundredth.
The value of x in degrees will be x=78.46
What is trigonometry?The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.There are different angles like Cos,Sin,tan,cosec,sec and cot in the trigonometry.
It is given that:
We have the value of CosX=0.2 we will take inverse of the value 0.2 and find the angle X. after taking the cos inverse of the value 0.2 we found out the angle X=78.46
Cos X = 0.2
X = Cos¹ 0.2
X = 78.46°
Hence the value of x in degrees will be x=78.46
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Amanda works at a store that pays her 7% commission on the total amount of clothes she sells. Last week, she sold $1600.00 worth of clothes. What is the amount of commission Amanda earned last week?
$112
$22.86
$11.2
$228.57
A bag of plugs contains 500 pieces. Each piece is $0.03. There is a 10% discount if the customer orders 10 bags or more. How much is a customer paying for 7,000 pieces?
Answer:
They would be paying $189
The amount of money that the customer paying for 7,000 pieces is $189.
What is an equation?An equation is an expression that shows the relationship between two or more variables or numbers.
Number of bags for 7000 pieces = 7000/500 = 14
Cost for 7000 pieces = $0.03 * 7000 = $210
Discount = 210 - (0.1 * 210) = $189
The amount of money that the customer paying for 7,000 pieces is $189.
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A certain rectangular prism has a height of 4 m, a length of 6 m, and a width of 8 m. Give the dimensions of a second rectangular prism that will have the same surface area of the first one.
Step-by-step explanation:
in its basic structure such a prism is like a cube (just rectangular and not squared) : 6 sides (rectangles).
2 rectangles top and bottom 6×8 = 48 m²
48 × 2 = 96 m²
2 rectangles front and back 6×4 = 24 m²
24 × 2 = 48 m²
2 rectangles left and right 8×4 = 32 m²
32 × 2 = 64 m²
the total surface area is
96 + 48 + 64 = 208 m²
it is hard to find other integer dimensions for the same surface area.
but as long as we are not restricted to integer numbers :
let's cut e.g. the height in half.
and we get
2 rectangles left and right 8×2 = 16 m²
16 × 2 = 32 m²
that "nails" already 2 dimensions (width and height).
we need to set now the third dimension (length) to create the same surface area :
length×8×2 + length×2×2 = 208 - 32 = 176
20×length = 176
length = 8.8 m
so, with
length = 8.8 m
width = 8 m
height = 2 m
we still get
2 rectangles top and bottom 8.8×8 = 70.4 m²
70.4 × 2 = 140.8 m²
2 rectangles front and back 8.8×2 = 17.6 m²
17.6 × 2 = 35.2 m²
2 rectangles left and right 8×2 = 16 m²
16 × 2 = 32 m²
as total surface area
140.8 + 35.2 + 32 = 208 m²
A storage container is shaped like a rectangular prism. The volume of a container is 48 cubic ft. The area of the base of the containers 12 feet. What is the height of the container in feet?
A. 12=48h
B. V = (12)(48)
C. (12)(48) = h
D. 48 = 12h
-7a - a=
Explain please
Step-by-step explanation:
-7a - a
Take common -a from that equation
-a(7+1)
= -8a
Easy peasy
Answer:
- 8a
Step-by-step explanation:
- 7a - a
= - 7a + (- a)
= - 8a
____
Hope it helps ⚜
A 6-sided number cube is rolled. Find the Probability of NOT getting a 2 or 5
Answer:
4/6
Step-by-step explanation:
each number on the cube has a 1/6 Probability of getting chosen, so since we want the Probability of not choosing these 2 numbers there's 4 numbers out of six that we could get, making it 4/6
Answer: The probability would be 2/4 because there is a chance that a 2 or 5 can be rolled and there is only one two and five and 4 other numbers.
Step-by-step explanation:
a rectangle measures 1 1/4 by 2 3/4 inches what is the area
let's firstly convert the mixed fractions to improper fractions, and then get their product.
[tex]\stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} ~\hfill \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{4}\cdot \cfrac{11}{4}\implies \cfrac{(5)(11)}{(4)(4)}\implies \cfrac{55}{16}\implies 3\frac{7}{16}[/tex]
Solve for x in 2•8 X 867•5x
Step-by-step explanation:
867.5x ×2.8
is is equal to 2429x
Complete number pattern 88,79, _,_, 52,43,34
PLEASE HELP!
Thank you in advance
The equation of line t is y=
7
4
x+2. Perpendicular to line t is line u, which passes through the point (2,
–
2). What is the equation of line u?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Answer:
If the slope is 7/4x : y=-4/7x-6/7
Step-by-step explanation:
1) Find reciprocal of slope: 7/4 becomes -4/7
2) insert into equation y=mx+b: y=-4/7x+b
3) solve for "b" by substituting x and y with the point (2,-2): -2=-4/7(2)+b
b=-6/7
4) write final equation: y=-4/7x-6/7
You wish to test the following claim (
H
a
) at a significance level of
α
=
0.01
.
H
o
:
μ
=
61.5
H
a
:
μ
<
61.5
You believe the population is normally distributed and you know the standard deviation is
σ
=
17.6
. You obtain a sample mean of
M
=
59.1
for a sample of size
n
=
34
.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
Using the z-distribution, it is found that the desired measures are given as follows:
The test statistic is z = -0.795.The p-value is of 0.2133.What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 61.5, that is:
[tex]H_0: \mu = 61.5[/tex]
At the alternative hypotheses, it is tested if the mean is less than 61.5, that is:
[tex]H_1: \mu < 61.5[/tex]
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 59.1, \mu = 61.5, \sigma = 17.6, n = 34[/tex]
Hence, the test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{59.1 - 61.5}{\frac{17.6}{\sqrt{34}}}[/tex]
z = -0.795.
What is the p-value?We have a left-tailed test, as we are testing if the mean is less than a value, with z = -0.795. Hence, using a z-distribution calculator, the p-value is of 0.2133.
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(2 + 3i) + (3 – 4i)
(3 – 5i) – (–2 – i)
(2 − 4i)(1+ 3i)
2i(−1+ 3i)
Answer:
See below ~
Step-by-step explanation:
Question 1
(2 + 3i) + (3 - 4i)5 - iQuestion 2
(3 – 5i) – (–2 – i)3 - 5i + 2 + i5 - 4iQuestion 3
(2 − 4i)(1+ 3i)2 - 4i + 6i - 12i²14 + 2iQuestion 4
2i(-1 + 3i)-2i + 6i²-6 - 2i25
Find the value of
20
Answer:
[tex]\sqrt{20}[/tex] or 4.472
Step-by-step explanation:
Value of 20
Please i need your help for number 6
Conversion:
1 feet = 12 inch
Explanation:
a) 19 inch = 12 inch and 7 inch = 1 feet and 7 inch
b) 38 inch = 36 inch and 2 inch = 3 feet and 2 inch
Look at the number line below what value does point X show
Answer:
let xtake the part to be 1.2
What's solid figure could be formed from the net shown 15 cm 9 cm
Answer:
triangular pyramid
..................
Find the distance between the points (4,-2), (4,-5)
[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and}~~ (x_2 ,y_2) = (4,-5)\\\\\text{Distance} = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~~~~~~~~=\sqrt{(4-4)^2 + (-5+2)^2}\\\\~~~~~~~~~~~~=\sqrt{0^2+(-3)^2}\\\\~~~~~~~~~~~~=\sqrt{0+9}\\\\~~~~~~~~~~~~=\sqrt 9\\\\~~~~~~~~~~~~=3[/tex]
The coordinates of the vertices of a quadrilateral are (8, 11) (11, 7) (8, 3) (2, 3). What is the area, in square units, of the quadrilateral?
Check the picture below.
so the quadrilateral is really just a parallelogram below a triangle, so let's simply get the area of each and sum them up.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{parallelogram}{(6)(4)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(6)(4)}}\implies 24~~ + ~~12\implies 36[/tex]
The product of two whole numbers is 832 and their sum is 58. What are the two numbers?
Answer:
33 and 25
33 + 25 = 58
33 x 25 = 825
What is the perimeter of the triangle?
A. 18.3 units
B 9 units
C 15.5 units
D 18.2 units
Answer:
answer is B, 9 units
Step-by-step explanation:
Answer:
C) 15.5 units
Step-by-step explanation:
In circle O below, segment RA is a diameter, arc RP = 104 degrees, and arc RQ = 70 degrees. Find the
measure of the indicated angle
m<=5
Answer:
76°
Step-by-step explanation:
Arc RP = 104
Major arc RPA = 180 (half a circle)
180-104 = 76
Arc AP = 76, so Angle 5 = 76
Central Angles and their arcs are equal
Answer:
76°
Step-by-step explanation:
Finding m∠4 :
The angle is equal to arc RP∠4 = ° 104Finding m∠5 :
∠4 + ∠5 = 180° (property of linear angles)∠5 = 180° - 104°∠5 = 76°Ben's family went to NYC for their vacation. At the gift shop on Liberty Island, Steven bought three t-shirts
and two keychains for $120, and Jennifer bought five t-shirts and four key chains for $212. Find the price of
each item
Each t-shirt is $28 and each keychain is $18
Each t-shirt is $17 and each keychain is $31
Each t-shirt is $31 and each keychain is $17
Each t-shirt is $18 and each keychain is $28
Answer:
Step-by-step explanation:
Elizabeth's family went to NYC for their vacation. At the gift shop on Liberty Island, Scott bought four t-shirts and five keychains for $291, and Michelle bought seven t-shirts and six key chains for $424. Find the price of each item. Each t-shirt is $31 and each keychain is $34 Each t-shirt is $37 and each keychain is $30 Each t-shirt is $30 and each keychain is $37 Each t-shirt is $34 and each keychain is $31 > Next Question
Previous question
(4, 2) reflected over y axis
A jewelry designer is making identical bracelets. She has
21 blue beads and 14 red beads. What is the greatest number of bracelets she can make using all of the beads?
Answer
great common factor of 14 and 21 is 15. so your answer is 15
(y−2)=3(x−1) whats the slope
Answer:
the slope is 3
DIGANME YA LES PREGUNTE ALGO
Answer:
yee yee I'm a rodeo cowboy and I don't know what you mean brother
Evaluate the expression when a = 2, b=8 and c=12 c-2(a)+b
Answer:
16
Step-by-step explanation:
First, sub in the variables for the given numbers.
12 - 2(2) + 8
Then, use PEMDAS to find your answer.
12 - 2(2) + 8
12 - 4 + 8
8 + 8
16
Last, you get 16.
please please help will give brainlist
What is the volume of the prism?
it has to be simplest mixed number form
Step-by-step explanation:
[tex]13 \frac{1}{8} [/tex]
is the required answer