The true statements of the rectangle are as follows:
The other sides of the rectangle measures 4 inches and 12 inches. The perimeter in cm can be found using the expression (2×12)(2×4)The area can be found by multiplying 12 cm by 4 cm.The statements that are true in the option are highlighted with point listing.
The other sides of the rectangle measures 4 inches and 12 inches.Generally a rectangle has 2 opposite sides equal to each other.
The perimeter in cm can be found using the expression (2×12)(2×4)The perimeter of a rectangle can be express as follows:
perimeter = 2l +2w
where
w = width
l = length
The area can be found by multiplying 12 cm by 4 cm.The area of a rectangle can be express as follows
area = lw
The last 2 statement are not true statement because the volume of a rectangle cannot be found as it is a 2 dimensional figure and the units for area is squared but it was express in cm³(centimetre cube)
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Answer:
B and C
Step-by-step explanation:
A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold 640 worth of jewelry. How much did Heidi make in commission? How much did the jewelry store make from sales?
Answer:
12,800 Dollars USD
Step-by-step explanation:
a.
[tex] \cot^{2} - \cos ^2a = \cot ^{2} a \times \cos ^{2} a[/tex]
Step-by-step explanation:
We need to prove that,
[tex]\cot^2 a-\cos^2 a=\cot^2 a\times \cos^2 a[/tex]
Taking LHS,
[tex]\cot^2 a-\cos^2 a[/tex]
We know that,
[tex]\cot a=\dfrac{\cos a}{\sin a}[/tex]
[tex]=(\dfrac{\cos a}{\sin a})^2 -\cos^2 a\\\\=\cos^2 a(\dfrac{1}{\sin^2 a}-1)\\\\=\cos^2 a(\dfrac{1-\sin^2a}{\sin^2 a})\\\\=\cos^2 a\times \dfrac{\cos^2 a}{\sin^2 a}\\\\=\dfrac{\cos ^2 a}{\sin^2 a}\times \cos^2a\\\\\because \ \dfrac{\cos ^2 a}{\sin^2 a}=\cot^2 a\\\\=\cot^2 a \times \cos^2a\\\\=RHS[/tex]
So, LHS = RHS
Hence, proved.
-2(x+4)²= -200
can you guys please help
A librarian finds that the number of hours spent reading a book over a month, R, is dependent on the numbers of hours a person spends at the library over the course of a month, x, and can be modeled by the function
R(x)=26+1.5x
Draw the graph of the reading function by plotting its R-intercept and another point.
The given modeled function is R(x)=26+1.5x
where R(x) is the number of hours spent reading a book over a month
and x is the number of hours a person spends at the library over the course of a month.
Representing R(x) on the y-axis and x on the x-axis,
Puttinv x=0 to get the R(x) intercept as
R=36+1.5 x 0 = 36
So, (0,36) ia a point.
Determining other-point by putting any arbitrary value of x other than 0.
Putting x=2, to get the other point
R=36+1.5 x 10 =51
So, the other point is (10,51).
Now, joining both the points to get the graph of the given linear equation as shown in the figure.
Answer:
(0,26) (4,32)
Step-by-step explanation:
The function R(x)=26+1.5x is a linear equation, so its graph is a straight line that can be drawn by plotting 2 points and connecting them.
Its R intercept occurs when x=0, so
y(0)=26,
and (0,26) is the R-intercept.
To find another point, plug in another x value into the function y(x). For example, when x=4, we have
R(4)=26+1.5(4)=32.
So, (4,32) is another point on the graph of R(x).
Fill in the blank with the correct response.
if 9/24=3/x then x is
Answer:
x=8
Step-by-step explanation:
9/24=3/x
x=(24*3)/9
x=72/9
x=8.
Hope this helps :D Hit that crown!!!!
Answer:
x = 8
Step-by-step explanation:
Step 1: Cross-multiply
9 * x = (3) * (24)
9x = 72
Step 2: Divide both sides by 9.
9x/9 = 72/9
x = 8
Brainliest?
Help!!! Just those two, please
A. Multiply the area of the original store by the percent increase then add that to the original amount.
1200 x 0.75 = 900
1200 + 900 = 2100
Answer: 2,100 square feet.
B. 2000 x 0.30 = 600
2000 + 600 = $2,600
2600 x 0.05 = 130
2600 + 130 = 2,730
Rent :$2,730
Amy makes an initial investment of 5000$. The investment losses 13.5% each year. Find the amount Amy has at the end of 8 years
Answer:
156.71$
Step-by-step explanation:
[tex]A=P(1-r \%)^ t\\=500(1-13.5 \%)^8\\=500(0.865)^8\\\approx 156.71[/tex]
What’s the answer to this radical functions equation ASAP
9514 1404 393
Answer:
y = ∛(x -4) -1
Step-by-step explanation:
The transformation ...
g(x) = f(x -h) +k
translates the graph of f(x) h units to the right and k units up. Here, the cube root function is translated 4 units right and 1 unit down, so h=4 and k=-1. Putting those into your equation gives ...
y = ∛(x -4) -1
Carlos tosses a coin 3 times. What is the probability of a coin landing heads up all three times?
Answer:
1/8, or 12.5%.
Step-by-step explanation:
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
There are 32 desks in a room,
If x represents the number of rows of desks, which expression would equal the number of desks in each row?
32 x
32-x.
32 +x
32/x
The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.
Given that, there are 32 desks in a room.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Now, x represents the number of rows of desks.
The number of desks in each row = Total number of desks in a room / The number of rows of desks
= 32/x
The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.
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whats 7, −6, 4, −10, 3 least to greatest
Answer:
-10, -6, 3, 4, 7
Step-by-step explanation:
Hope it helps ^^
Identify which line from the graph the following right triangles could lie on
Answer:
There is no graph.
Sharon runs a screen-printing business. To print T-shirts each day, it costs her $200 in labor plus $5 per T-shirt for materials. Her income is $15 for each T-shirt she sells. How many T-shirts does Sharon need to sell each day in order for her costs to equal her income for that day?
(i mainly need the equation for this problem)
Answer:
Equation: 15n = 200 + 5n
Number of T-shirts: 20
Step-by-step explanation:
We need to find an expression for the costs for 1 day for making n number of T-shirts and an expression for the income for 1 day for selling n number of T-shirts. Then we set the expressions equal and solve for n, the number of T-shirts.
Expenses in 1 day:
The expenses are a fixed cost of $200 plus the cost per T-shirt.
$200 plus $5 per T-shirt
We need an expression for the cost per T-shirt in terms of n, the number of T-shirts.
If she makes 1 T-shirt, she spends $5 * 1.
If she makes 2 T-shirts, she spends $5 * 2.
If she makes n T-shirts, she spends $5 * n, or simply 5n.
Her total costs for a day are:
200 + 5n
Income in 1 day:
All the income comes from selling T-shirts.
She sells 1 T-shirt for $15 * 1.
She sells 2 T-shirts for $15 * 2.
She sells n T-shirts for $15 * n, or simply 15n
Her total income for 1 day is:
15n
Now we set the costs equal to the income and solve for n.
15n = 200 + 5n <--------- here is the equation you need
Subtract 5n from both sides.
10n = 200
Divide both sides by 10.
n = 20
Answer: She needs to sell 20 T-shirts.
Joshua places the letters in the word SNOWMAN in a bag. A letter is drawn randomly and not replaced. Then another letter is selected. What is the probability of Joshua selecting a W and then a N?
Answer:
13/42
Step-by-step explanation:
1/7 + 1/6
13/42
Jenny bought a pair of shoes for $49.76 with a 30% off coupon. How much will she pay in total after 7% sales tax?
Answer: the final price is $37.26
Step-by-step explanation:
Always when we have an increase in a percentage X%, with an initial amount A, the new amount will be:
A + A*(X%/100%)
And for a decrease, the equation is_
A - A*(X%/100%)
Then if the initial price is $49.76, and there is a decrease of the 30%, the new price will be
$49.75 - (30%/100%)*$49.75 = $34.83
Now we have an increase of the 7% because of the IVA, then the final price is:
$34.83 + (7%/100%)*$34.83 = $37.26
Solve formula as indicated. - F = m + 2a for a
Answer:
The value of 'a' will be:
[tex]a\:=\:-\frac{f}{2}+-\frac{1}{2}m[/tex]
Step-by-step explanation:
Given the formula
[tex]-F = m+2a[/tex]
Let us solve the equation for 'a'
[tex]-F = m+2a[/tex]
Flip the equation
[tex]2a+m=-f[/tex]
Add -m to both sides
[tex]2a+m+(-m)=-f+(-m)[/tex]
[tex]2a = -f - m[/tex]
Divide both sides by 2
[tex]\frac{2a}{2}=\:\:\frac{-f\:-\:m}{2}[/tex]
[tex]a\:=\:-\frac{f}{2}+-\frac{1}{2}m[/tex]
Therefore, the value of 'a' will be:
[tex]a\:=\:-\frac{f}{2}+-\frac{1}{2}m[/tex]
pweese help!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
Lydia receives a $2,000 gift and wants to open a savings account. Which bank interest would be the best for her if the current inflation rate is 3.5%?
Answer:
the best interest rate would be a minimum of 3.5% annual interest
Step-by-step explanation:
An inflation rate of 3.5% would mean that the buying power of Lydia's money would decrease by 3.5% every single year. Therefore, the best interest rate would be a minimum of 3.5% annual interest. That way she would at least maintain the same buying power with her money as the day that she first placed it in the account. Any interest rate higher than 3.5% would be even better as Lydia will begin to make a profit from her savings.
Help meeee anyyyonee
Answer: 8,16
Step-by-step explanation:
6/15 of a ton of wood is to be split between 8 decks evenly. How much wood will be used for each deck?
Answer:
1/16 tons of wood per deck
Step-by-step explanation:
6/15 ÷ 8
6/15 × 1/8 (Keep Change Flip)
6/96 = 1/16
Evaluate: 12/y+9d if y = 5 and d = 7
here's the answer.....I hope it would work
Answer:
3/17
Step-by-step explanation:
Substitute the given values for the variables.
[tex]\frac{12}{5+9(7)}[/tex]
Simplify
[tex]\frac{12}{5+63}[/tex]
[tex]\frac{12}{68}[/tex]
[tex]\frac{3}{17}[/tex]
Suppose a classmate is having difficulty solving 4(x - 7) > 6x + 2 + 8x.
Explain how to solve the inequality, showing all the necessary steps and
identifying the properties you would use.
Answer:
X < -3
Step-by-step explanation:
First, you would want to distribute the 4 to the x and the -7. Distribution is just multiplying. So it would be 4x - 28. Then youd combine the like terms which would be 6x and 8x. Add them. You’re inequality should look like this.
4x - 28 > 14x + 2
you need to get the x’s all on one side. I suggest subtraction -4x from both sides to not only cancel out the 4x but it also keeps both sides equal
-28 > 10x + 2
you need to get 10x by itself on the right side so you must subtract 2 from both sides to equal and remove 2
-30 > 10x
divide both sides by 10 to get x by itself
-3 > x
which is the same as x < -3
help please, I need help
Answer:
1. <
2. <
3. >
Step-by-step explanation:
-8 is smaller than 8
the absolute value of -4 is 4, but there is another minus, so it becomes -4. -4 is smaller than -2
-7 is bigger than -9
Answer:
Step-by-step explanation:
-8 < |8|
-|-4| < -2
-7 > -9
absolute value has the || sign around the number. If you see that, and there's a "minus" sign, then reverse it to a PLUS sign. Because absolute value is just how far away the number is to 0. So -8 is "8" to 0.
now if we have for example, -|-4| then it'd be -4 because |-4| is 4, but then -4 again cause there's a minus sign.
Write three numbers greater than 20 that have 9 as a factor
Answer:
Here are three multiples of nine that exceed 20:
Step-by-step explanation:
9(3) = 27
9(4) = 36
9(5) = 45.
Dwight's club has 35 members. Its
rules require that 60% of them must
be present for any vote. At leas how
many members must be present to have
a vote?
Answer:
21 memebers must be present
Step-by-step explanation:
First we have to convert the percent to decimal form for an easier calculation. Do this by taking 60 and dividing by 100.
You should get 0.60, now just multiply .60 by 35 and you'll get the answer of 21.
If V2=200mL, C1=80%, C2=50%, what is V1?
Answer:
125 mL
Step-by-step explanation:
We are given:
V₁ = x mL
C₁ = 80%
V₂ = 200 mL
C₂ = 50%
Solving for x:
We know that:
V₁C₁ = V₂C₂ [Concentration formula]
replacing the values:
x(80) = (200)(50)
x = 125 mL [Dividing both sides by 80]
Amy raises $58.75 to participate in a walk-a-thon. Jeremy raises $23.25 more than Amy. Oscar raises 3 times as much as Jeremy. How much does Oscar raise? Please show work and equation and this is 5th grade math.
1. 246.00
2. 245.00
3. 246.08
Answer:
246.00
Step-by-step explanation:
58.75+23.25=82 then 82*3
Answer:
246.000
Step-by-step explanation:
Well If you take it and Line it up like this,
(A)Amy; 58.75
(J)Jeremy; A+23.25
(O)Oscar; A+23.25= ?x3
This is an easy way to find out what it is you need to do, So A+23.25 is 58.75+23.2 which should give you the value of 82, which brings you to the next step of A+23.25= ?x3 which in this you only wanna focus on the ?x3, we now know ?= 82 so this brings it to 82 times 3 which gives you a value of 246. Thus giving you your answer.
Hope this helps.
Simplify -x+5+7x-2+2x+3
Answer:
on simplifying the answer would be 8x +8
Answer:
8x + 6
Step-by-step explanation:
add all x values together and all normal values together
-x+7x+2x=8x
5-2+3=6
Please, I give 20 score. Find the volume
Answer:
2388.16 in³
Step-by-step explanation:
1) find volume of cylinder
formula: πr²h
given:
π = 3.14
r = 8/2 = 4 in
h = 9 in
[tex]\pi \: r {}^{2} h[/tex]
[tex](3.14) \times (4 {}^{2} ) \times 9[/tex]
[tex]3.14 \times 16 \times 9[/tex]
[tex]452.16 \: {in}^{3} [/tex]
2) find volume of cuboid
formula: length × width × height
given:
length = 16 in
width = 11 in
height = 11 in
[tex]l \: \times w \: \times h[/tex]
[tex]16 \times 11 \times 11[/tex]
[tex]1936 \: in {}^{3} [/tex]
total volume of figure
= volume of cylinder + volume of cuboid
= 452.16 in³ + 1936 in³
= 2388.16 in³
The ratio of men to women working for a company is 5 to 7 if there are 133 women working for the company what is the total number of employees