[tex]\\ \rm\longmapsto <AEC+<CED+x=180[/tex]
[tex]\\ \rm\longmapsto 47+90+x=180[/tex]
[tex]\\ \rm\longmapsto 137+x=180[/tex]
[tex]\\ \rm\longmapsto x=180-137[/tex]
[tex]\\ \rm\longmapsto x=43[/tex]
an odd interger can be represented by the expression n+ 2 where n is any odd integer find three consecutive odd intergerss that have a sum of - 51
Answer:
-15,-13,-11
n + (n+2) + (n+4) = -51
3n + 6 = -51
3n = -57
n = -19
-19,-17,-15
Step-by-step explanation:
Mrs. Eskew saved her money for 32 years and had $4,119,184 in the bank. She used her money to go a vacation for a month and spent $978,349. How much did she have left after her vacation?
Answer:
$3,140,835
Step-by-step explanation:
4,119,184-978,349=3,140,835
hope this helped!
HELPP???!! Due tomorrow!!
Fill in the table.
You make a $15 payment on your loan of $500 at the end of each month
Answer:
Month 1: 500 - 15 = 485
Month 2: 485 - 15 = 460
Month 3: 460 - 15 = 445
Month 4: 445 - 15 = 430
Step-by-step explanation:
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
square root of the quantity x minus 3 end quantity plus 5 equals x
x=7 is the solution for the given equation
x=4 is the extraneous solution .
Given :
[tex]\sqrt{x-3} +5=x[/tex]
Explanation :
To solve the given equation for x , we need to remove the square root first
Subtract 5 on both sides
[tex]\sqrt{x-3}+5=x\\ \sqrt{x-3}=x-5\\\\[/tex]
Take square on both sides to remove square root
[tex]x-3=(x-5)^2\\x-3=x^{2} -10x+25\\[/tex]
Subtract x and add 3 on both sides
[tex]0=x^{2} -11x+28\\0=(x-7)(x-4)\\[/tex]
Set the factors =0 and solve for x
[tex]x-7 =0\\x=7\\\\\\x-4=0\\x=4[/tex]
x values are 4 and 7
Now we check the values using original equation and verify it
[tex]x=4\\\sqrt{x-3} +5=x\\\sqrt{4-3} +5=4\\\\6=4 \\[/tex]
x=4 does not satisfies the original equation
Now we check x=7
[tex]\sqrt{7-3} +5=7\\7=7[/tex]
x=7 is the solution
Learn more : brainly.com/question/13401711
a right triangle has a non hypotenuse side length of 45" and the hypotenuse measures 53". What is the length of the other non-hypotenuse side?
Answer:
28"
Step-by-step explanation:
the length of the other non-hypotenuse side =
√(53² - 45²) =√(2809-2025) =√784 = 28"
Using Pythagorean theorem
[tex]\\ \rm\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \rm\longmapsto P^2=53^2-45^2[/tex]
[tex]\\ \rm\longmapsto P^2=2809-2025[/tex]
[tex]\\ \rm\longmapsto P^2=784[/tex]
[tex]\\ \rm\longmapsto P=\sqrt{784}[/tex]
[tex]\\ \rm\longmapsto P=28[/tex]
If two triangles are congruent corresponding angle measures are the same/different and corresponding side
lengths are the same/different.
Answer:
Corresponding angles for similar triangles are equal
Corresponding angles and sides are equal for congruent triangles (they may be superimposed)
What is the length of YZ?
Select the best answer from the choices provided.
A.4
B.4.58
C. 5.29
D.10
Answer: C
Hello,
Step-by-step explanation:
WZ=7-3=4
YW²=XW*WZ=3*4=12 ==> WY=2√3
In the right triangle YWZ, using the Pythagorean's theorem:
YZ²=WY²+WZ²=12+4²=28
YZ=2√7≅5.29150....
Answer C
5xy. √[tex]\frac{25x^2}{y^6}[/tex]
Answer:
[tex] \frac{25 {x}^{2} y}{729} [/tex]
Step-by-step explanation:
[tex]5xy \times \sqrt{ \frac{25 {x}^{2} }{ {9}^{6} } } [/tex]
[tex]5xy \times \frac{5x}{ {9}^{3} } [/tex]
[tex] \frac{25 {x}^{2} y}{ {9}^{3} } [/tex]
[tex] = \frac{25 {x}^{2}y }{729} [/tex]
What is the slope of the line containing (–3, 1) and (1, –2)? A. 3/4B. –4/3 C. –3/4 D.4/3
C.-3/4................
Please Help!!!
write the expression as the sine or cosine of an angle.
sin 3x cos x - cos 3x sin x
In other words, you'll type "sin" without quotes in the green box.
Also, you'll type "2" in the gray box, which also won't have quotes.
===========================================================
Explanation:
We'll use the first hint. Note the pattern of sin cos +- cos sin which matches (somewhat) with the original expression.
Specifically, we'll use this identity
sin(A - B) = sin(A)cos(B) - cos(A)sin(B)
In this case, A = 3x and B = x
So,
sin(A - B) = sin(A)cos(B) - cos(A)sin(B)
sin(A)cos(B) - cos(A)sin(B) = sin(A - B)
sin(3x)cos(x) - cos(3x)sin(x) = sin(3x - x)
sin(3x)cos(x) - cos(3x)sin(x) = sin(2x)
Find the supplement of 122 degrees 45'
Answer:
Step-by-step explanation:
Supplement angle is 57degree 15'
Olivia bought snacks for her team's practice. She bought a bag of popcorn for $3.39
and a 4-pack of juice bottles. The total cost before tax was $7.43. Which tape diagram
could be used to represent the context if x represents how much each bottle of juice
costs?
The required diagram could be used to represent the context if x represents how much each bottle of juice cost is D. Option D is correct.
Given that,
She bought a bag of popcorn for $3.39 and a 4-pack of juice bottles. The total cost before tax was $7.43.
To determine the diagram could be used to represent the context if x represents how much each bottle of juice costs.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the cost of each juice bottle be x.
Now,
accoding to the question,
4x = 7.43 - 3.39
Thus, the required diagram could be used to represent the context if x represents how much each bottle of juice cost is D. Option D is correct.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
1.) 0.66666666667 is a natural, whole, integer, rational or irrational number
Answer:
irrational i think
Step-by-step explanation:
Final grades are often computed using weighted averages. Some college professors use complicated weighted averages. The college professor tells you he will give you a 33% to 67% split on grades between tests and homework where which ever average is higher will be the 67%. What was your final grade be if your homework average is 52 and your test average is 71?
Using weighed mean, it is found that the final grade is 64.73.
--------------------------
To find the weighed average, we multiply each grade by it's weight.
--------------------------
Since we want to find the weighed average, we have to identify in the text the grades, and it's respective weighs.
Grade of 71, with a weight of 67%(as it states in the text, the higher grade has a weight of 67%).Grade of 52, with a weight of 33%(as it states in the text, the lower grade has a weight of 33%).Thus, the final grade is:
[tex]F = 71\times0.67 + 52\times0.33 = 64.73[/tex]
The final grade was of 64.73.
A similar problem is given at https://brainly.com/question/23731238
What is the volume of the rectangular prism?
Answer:
5
Step-by-step explanation:
(10 points) How many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
Answer:
C. 2
Step-by-step explanation:
2y and 0,0 are the same
Answer:
The answer is B) There is one proportional relationship
Step-by-step explanation:
The green line (the one at the top) does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
The blue line (the one in the middle) is a straight line through the origin. This is a proportional relationship.
Reason: It goes through 0,0
----------------------------------------------------------------------------------------------------------------
The purple line (the one at the bottom) does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
Conclusion: Since the green and purple lines are not proportional but the blue line is, this means only 1 line is proportional.
Note:
I know my answer is very late but I wanted to help anyone who needs it for future reference.
Cavenger of 92 miles in 2 2/3 hours if he drove a constant rate how far did he travel in one hour enter your answer as a whole number proper fraction or mixed number in simplest form
Answer:
34 1/2 miles
Step-by-step explanation:
92 miles = 2 2/3 hours
x miles = 1 hour
92 ÷ 2 2/3 = 34.5
34.5 x 1 = 34.5
34.5 miles = 1 hour
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Andre is a salesman and his assigned territory has a radius of 45 miles. What is the area of Andre’s sales territory? Use 3.14 for π and round your answer to the nearest tenth
hi
formula for cicrle circumference is 2 *radius*Pi
as radius is 45, Pi is 3.14....
I let you do the math...
If the mine winch drum diameter is 4,5m, calculate how far the counterweight will lift each single rotation of the drum, use formula C=2πr
Answer:
i have no idea that's why I need ur help
Solve the equation 7 (x+3) = 72-4 how may solutions does it have
Answer:
x = 47/7 or 6.714
Step-by-step explanation:
7 (x+3) = 72-4
7x + 21 = 68
7x = 68 - 21
7x = 47
x = 47/7 or 6.714
"You are growing like a weed!” D’rek's grandmother said to him when she saw him for the
first time in a year. If D’rek grew 8 inches over the last year, and an average dandelion (a
common weed) grows 0.1 inches in one day, is D’rek growing like a weed? Justify your
answer.
growth rate:
[tex]=\frac{8}{365}[/tex]Derek is not growing like a weed because the weed grows at 0.1 inch per day, while he grows at a rate of 0.022 inch per day.
The number of days in a year = 365
The question says that D'rek grew at the rate of 8 inches in the last year'
D'reks growth rate:
[tex]=\frac{8}{365}[/tex]
= 0.022 inch per day
From the calculation above, Derek is growing at the rate of 0.022 inch per day. But the question says that the weed grows at the rate of 0.1 inch per day
In conclusion, Derek is not growing like a weed, his growth rate differs from that of the weed.
Here is a similar question and solution https://brainly.com/question/1806491?referrer=searchResults
Find an expression which represents the difference when (x + 4y) is subtracted
from (-8x + 3y) in simplest terms.
Answer:
[tex]( - 8x + 3y) - (x + 4y) \\ = - 8x + 3y - x - 4y \\ = - 9x - y \\ thank \: you[/tex]
A car at a red light accelerates for 5 seconds and is now travelling 25 m/s. What was the car’s acceleration?
Answer:
5 m/s²
Step-by-step explanation:
t (time) = 5 s
u (initial velocity) = 0m/s
v (final velocity) = 25m/s
a = (v-u)/t
a = (25-0)/5
a = 25/5
a = 5 m/s²
Which equation represents a population of 370 animals that increases at an annual rate of 11% ?
Answer:
D.
Step-by-step explanation:
the starting number is 370 and it gets multiplied by 1.11 every year so you would root the equation by t
The equation fourth represents the population of 370 animals that increases at an annual rate of 11% option fourth is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x
where a is a constant and a>1
We have:
A population of 370 animals that increases at an annual rate of 11%
Initial value a = 370
rate r = 11% = 0.11
The equation:
[tex]\rm p = a(1 + r)^t[/tex]
[tex]\rm p = 370(1 + 0.11)^t[/tex]
Thus, the equation fourth represents the population of 370 animals that increases at an annual rate of 11% option fourth is correct.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ5
2/5 as a decimal show how you got the answer
Answer:
0.4
Step-by-step explanation:
To convert a fraction into a decimal, simply divide the numerator by the denominator.
2 ÷ 5= 0.4
I hope this helps you.
Answer:
.4
Step-by-step explanation:
2/5
Multiply by 2/2
2/5 *2/2
4/10
.4
Use >,< or = to compare. 167.4____167.462 which one???
Answer:
<
Step-by-step explanation:
167.462 is 0.062 larger than 167.400
Match the number 343 on the to the value of the number rounded to the nearest 10.
300
340
350
330
Answer:
340
Step-by-step explanation:
Anything greater or equal to 345 will be rounded to 350
and anything less than 345 will be rounded to 340,
So the numbers is:-
340
Joseph tweets 13 times a day.What defines each variable and write an algebraic expression to describe the number of post after any given number of days.
Answer:
t(x) = 13xStep-by-step explanation:
Let the number of days is x.
Joseph tweets 13 times a day.
The number of tweets after x days would be:
t(x) = 13x,t(x) - number of tweets after x days.
Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you 1.25 for selling the first subscription. For each additional subscription sold, the magazine company will pay you 20 cents more than what was paid for the previous subscription. How much will you earn by selling magazine subscriptions?
PLEASE HELP, I WILL ADD BRAINLIEST AND 100 POINTS
Answer:
money = 1.45x - .20
Step-by-step explanation:
money made = first subscription + rest of subscriptions
Let x = number of subscriptions
We x-1 for the rest of the subscriptions since we already counted the first one
20 cents more than what was paid for the first one
money = 1.25 +(1.25+.20)(x-1)
money = 1.25 +(1.45)(x-1)
Distribute
money = 1.25 +1.45x-1.45
Combine like terms
money = 1.45x - .20
26. Using only digits 0, 1 and 2, this cube has a different
number on each face.
Numbers on each pair of opposite faces add to the
same 3-digit total.
What is the largest that this total could be?
Answer:
Step-by-step explanation:
Possible largest numbers using digit 0 , 1 , 2
222
221
220
212
211
210
222 + 210 = 221 + 211 = 220 + 212 = 432
Largest total can be 432