Answer:
The length of the rectangle is 31.
Step-by-step explanation:
We have that the length (L) and width (W) are:
[tex] L = 3x + 7 [/tex]
[tex] W = 2x [/tex]
The perimeter of the rectangle is given by:
[tex] P = 2W + 2L [/tex]
[tex] 94 = 2(2x + 3x + 7) [/tex]
[tex] 94 = 10x + 14 [/tex]
[tex] x = 8 [/tex]
Now, we can calculate the length of the rectangle:
[tex] L = 3x + 7 = 3*8 + 7 = 31 [/tex]
Therefore, the length of the rectangle is 31 units.
I hope it helps you!
A={b,l,o,u,s,e} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}.
Answer:
oof
Step-by-step explanation:
Blouse
The Alphabet
find the slope. thank
Step-by-step explanation:
7. The two coordinates are (0, 4) and (1, -4).
To find the slope you would need to use the formula [tex]\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]
[tex]y_{2}[/tex] = (-4), [tex]y_{1}[/tex] = 4
[tex]x_{2}[/tex] = 1, [tex]x_{1}[/tex] = 0
[tex]\frac{(-4)-4}{1-0}[/tex] = [tex]\frac{-8}{1}[/tex] = -8
8. The coordinates, (1, 4) and (0, -2)
(-2) -4 / 0 -1 = -6 / -1 = 6
Sorry for not formatting 8
9. The coordinates (-1, 3) and (4, -1)
(-1) - 3/ 4 - (-1) = -4/ 5
10. The coordinates (1, -1) and (2, -2)
(-2)- (-1) / 2 -1 = -1 / 1 = -1
Hope this helps!!!
Gabriel lives and works in Michigan, which has a flat state income tax of
4.25%. If his annual salary is $69,255 and he gets paid once a month, how
much is withheld from his gross income for state income tax each pay
period?
Answer:4,050
Step-by-step explanation:
Withholding Rate: 4.25% | Personal Exemption: $4,400 | 2019 Michigan Income Tax Withholding Tables. Withholding Rate: 4.25% | Personal Exemption: $4,050 | 2019 Michigan Income Tax Withholding Tables.
The blue dot is at what value on the number -7 -9 line?
Answer: Y=-7 X=-9
Step-by-step explanation:
River otters drink about 5 times as much water as a bald eagle drinks in a day.
How much water can a river otter drink in three days?
Water Consumption
Animal Average Amount
(Liters per day)
Canada Goose 0.24
Cat 0.15
Mink 0.10
Opossum 0.30
Bald Eagle 0.16
A river otter drinks liters in three days.
Answer:
80
Step-by-step explanation:
You have to multiply .16 times 5, and that gets your answer, 80!
3 (x-2)
4x + 8
3x
What’s the expression for the perimeter of the figures shown? (I NEED HELP ASAP)
Answer:
1.3x -6 => 3x = 6 => x = 2
2.4x = -8 => x= -2
3.3x => if 3x = 0 ..x is> 0 too
but if 3x= 1 ..x is 1/3
i h○pe it helps u ...:)
John has $40. He will use some of the money to buy books, and he wants to have at least $10 left to put in his savings account. Each book costs $6. a. Write an inequality to represent this story, using b to represent the number of books John buys. b. Solve the inequality, showing each step of your work. c. In complete sentences, explain what the solution means in the context of the story.
Answer:
3231
Step-by-step explanation:
The answer is in the 3,000 area i messed up to get the exact amount
2) If the bill is $100 and the tax rate is 10%, then the sales tax is how much
money?
$ 20.00
$ 25.00
$ 10.00
$ 5.00
3) If the bill is $45.12 and the tax rate is 13%, then the sales tax is how much I point
money?
Answer:
it's $25.00
Step-by-step explanation:
Simplify this expression.
[tex]\frac{4^{9} }{4^{3} }[/tex]
9x9x9x9divide by 4x4x4
Answer:
4⁹ / 4³ = 4⁶ = 4096
Step-by-step explanation:
You can solve this by realising that exponents (the 9 and the 3 in this case), simply tell you how many times to multiply the numbers together.
What you're see there then can also be expressed as:
[tex]\frac{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4}{4 \times 4 \times 4}[/tex]
Because the numerator and denominator are all multiples of the same number repeatedly, you can simply eliminate the bottom three fours from the top and bottom, giving you:
[tex]\frac{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times (4 \times 4 \times 4)}{(4 \times 4 \times 4)}\\\\= 4 \times 4 \times 4 \times 4 \times 4 \times 4[/tex]
[tex]4 \times 4 \times 4 \times 4 \times 4 \times 4[/tex]
A simpler way to look at it is to understand that when the same number is being raised to different bases, and then multiplied or divided, you can simply add or subtract the exponents. For example, speaking very generically:
[tex]x^a \times x^b = x^{a + b}[/tex]
and
[tex]x^a \div x^b = x^{a - b}[/tex]
In this case then, we can simply say:
[tex]\frac{4^9}{4^3} = 4^{9 - 3} = 4^6[/tex]
So when simplified, the expression is equal to 4⁶, or 4096.
i dont smoke cause nobody want the smoke
Answer:
Points Yay Woop Woop
Step-by-step explanation:
Pointsssssss
Simplify.
8m+4n+7m−2n
17mn
m + 2n
15m + 2n
15m + 6n
Answer:
use math(way)
Step-by-step explanation:
3+3=?
help I don't know
Answer:
its 7
Step-by-step explanation:
Answer:
if i remember correctly i think its carrot
Step-by-step explanation:
:P
Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=60
Step-by-step explanation:
right angle is 90 degrees +30 degrees equals 120 so 180-120 gives you 60 degrees
tongue tied sauces inc finds that the revenue in dollars from the sale of x bottles of barbeque sauce is given by
Answer:
The answert is "$0.007 / bottle".
Step-by-step explanation:
Please find the complete question in the attachment file.
[tex]\to R(x) =7.5x^{0.7}[/tex]
The average income:
[tex]\to A(x) = \frac{R(x)}{x} =7.5 x^{-0.3}[/tex]
The change rate on the average revenue:
[tex]\to A'(x) =7.5(-0.3)x^{-1.3}[/tex]
when 81 bottles were produced , then the rate of change in average revenue
[tex]\to =A'(81)\\\\\to -0.007 \ / \ bottle[/tex]
The average income is decreasing at rate = $0.007 / bottle
What are the common factors of 9 and 36
Answer:
The common factors of 9 are 1, 3, and 9.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 38.
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color green. If 16 buyers are randomly selected, what is the probability that exactly 10 buyers would prefer green
Answer:
[tex]P(X=10) = 0.1222[/tex]
Step-by-step explanation:
Represent Green with G
So,
[tex]G = 50\%[/tex]
Required
Determine the probability that 10 out of 16 prefer green
This question is an illustration of binomial distribution and will be solved using the following binomial distribution formula.
[tex]P(X=x) = ^nC_xG^x(1-G)^{n-x}[/tex]
In this case:
[tex]n = 16[/tex] -- number of people
[tex]x = 10[/tex] -- those that prefer green
So, the expression becomes:
[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{16-10}[/tex]
[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{6}[/tex]
Substitute 50% for G (Express as decimal)
[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*(1-0.50)^{6}[/tex]
[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*0.50^{6}[/tex]
Apply law of indices
[tex]P(X=10) = ^{16}C_{10}*0.50^{10+6[/tex]
[tex]P(X=10) = ^{16}C_{10}*0.50^{16[/tex]
Solve 16C10
[tex]P(X=10) = \frac{16!}{(16-10)!10!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16!}{6!10!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16*15*14*13*12*11*10!}{6!10!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16*15*14*13*12*11}{6!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16*15*14*13*12*11}{6*5*4*3*2*1} * 0.50^{16[/tex]
[tex]P(X=10) = \frac{5765760}{720} * 0.50^{16[/tex]
[tex]P(X=10) = 8008 * 0.50^{16[/tex]
[tex]P(X=10) = 8008 * 0.00001525878[/tex]
[tex]P(X=10) = 0.12219231024[/tex]
[tex]P(X=10) = 0.1222[/tex]
Hence, the required probability is 0.1222
8x+7.5=3.5 What's the value of x? Please show your work. :)
Answer:
x = 0.5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form: x = -1/2
In the month of Nov Pharoah company inc wrote checks in the amount of$10310. In dec checks in the amount of $ 11785 were written. In Nov $8580 of these checks were presented to the bank for payment, and $10770 in dec
What is the amount of outstanding checks at the end of Nov and at the end of Dec.
Answer:
the amount of outstanding checks at the end of Nov and at the end of Dec is $1,730 and $1,015 respectively
Step-by-step explanation:
The computation of the amount of outstanding checks at the closing of Nov and dec is as follows
Particulars November December
Written checks $10,310 $11,785
Less:
Presented checks -$8,580 -$10,770
Outsanding checks $1,730 $1,015
Hence, the amount of outstanding checks at the end of Nov and at the end of Dec is $1,730 and $1,015 respectively
Which model represents 2.36 divided by 4?
Answer:
[tex] = \frac{2.36}{4} \\ = \frac{59}{100} \\ = 0.59[/tex]
If f(x) = 9x -2 and g(x) =-2x?, what is the value of f(4) - 9(4)?
f(4)=9*4-2 =34 & g(4)= -2*4 =-8 then,
f(4)- g(4) = 34+8= 42
what is 6 to the 8th power simplified??
hurry help me!!
Answer:
[tex]6^{8}[/tex]
Step-by-step explanation:
Di ako sure sa sagot ko.
(I'm not sure with my answer)
Identify whether the following items best fit with a discrete or a continuous model. Then determine whether it is a linear (arithmetic) or exponential (geometric) relationship that is being described. Finally, write the function that represents the situation.
One square inch is infected by bacteria. For every hour that passes the amount of area infected by the bacteria doubles.
Answer:
it will be a continuous model
Step-by-step explanation:
weekend weekend assume every amount of area infected by the bed period doubles as hour passes
The following data is from a simple random sample of 12 students GPAs. 3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77 Develop a point estimate of the population mean.
Answer: 3. 2
Step-by-step explanation:
Given the data:
3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77
Point estimate of population mean :
Σx / N
(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)
= 38.41 / 12
= 3.2008
Solve. Round to the nearest tenth.
6
2-12
19
2x-2
HELP ASAP!!
Answer:
[tex]\displaystyle x = \frac{216}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}[/tex]
Step 2: Solve for x
Cross-multiply: [tex]\displaystyle 6(2x - 2) = 19(x - 12)[/tex]Distribute: [tex]\displaystyle 12x - 12 = 19x - 228[/tex]Isolate x terms: [tex]\displaystyle -12 = 7x - 228[/tex]Isolate x term: [tex]\displaystyle 216 = 7x[/tex]Isolate x: [tex]\displaystyle \frac{216}{7} = x[/tex]Rewrite: [tex]\displaystyle x = \frac{216}{7}[/tex]Answer:
[tex] \frac{6}{19} = \frac{x - 12}{2x - 2} \\ 6(2x - 2) = 19(x - 12) \\ 12x - 12 = 19x - 228 \\ 7x = 216 \\ \boxed{x = 30.857}[/tex]
30.857 is the right answer.pls help asap no trolls
Answer:
yes
Step-by-step explanation:
This is because the sum of 2 sides of a triangle has to be greater than the side that was not used
Instructions: Find the angle measures given the figure is a rhombus.
Please Help!
Answer:
30
Step-by-step explanation:
since this is rhombus 1 2 3 4 must be equal
|NP|=|MN|
so 180-120=60
60/2=30
Answer: All four angles (angle1,2,3,4) are 30 degrees each
===========================================================
Explanation:
A rhombus has all four sides that are the same length. Think of a square, but we don't necessarily need to have all four angles be 90 degrees (as the diagram indicates).
Focus on triangle MNP. We have N = 120 degrees. We also know that MN = NP due to the fact all four sides of a rhombus are the same length.
This immediately leads to triangle MNP being isosceles. The base angles opposite the congruent sides are congruent angles. So angle 1 and angle 3 are the same measure. For triangle MNP, angle M and angle P are the same.
Let's find the missing angle
M+N+P = 180 ... angles of a triangle add to 180
M+120+M = 180 ... plug in N = 120, replace P with M
2M+120 = 180
2M = 180-120 ... subtracting 120 from both sides
2M = 60
M = 60/2 .... dividing both sides by 2
M = 30
So N is also 30 degrees
------------------------
We've found that both angle 1 and angle 3 are 30 degrees each.
Any rhombus is a parallelogram, which means that angles 1 and 4 are congruent alternate interior angles. Similarly, angles 2 and 3 are the other pair of alternate interior angles.
Therefore, we can say
angle 1 = angle 4 = 30 degrees
angle 2 = angle 3 = 30 degrees
Which is the best estimate of 162% of 79? O 112 O 119 O 128 O 136
Answer:
128
Step-by-step explanation:
You would multiply 79 by 1.62 to get the answer.
This would give you 127.98 which you would round up to 128.
Answer:
128
Step-by-step explanation:
Another way to find slope is with the slope formula (y2-y1/x2-x1 find the slope of (3,2) (7,4)
Answer: 2/4=1/2
Step-by-step explanation: 4-2=2. 7-3=4
Answer:
1/2
Step-by-step explanation:
4-2=2
7-3=4
2/4
Which of the following terms correctly describe the object below?
Check all that apply.
Type the expression that results from the following series of steps:
Start with G, add X, then divide by A
Step-by-step explanation:
Start with G => G
Add X => G + X
Divide by A => (G + X)/A
Hebce the expression is (G + X)/A.
Answer:
g
, divide by 7, then add 3.
Step-by-step explanation: