Answers
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
_____
Additional comment
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Related Questions
Eve is going to buy 70 pens from either shop A or shop B.
Shop A : pack of 10 pens for £ 2.30
Shop B : pack of 5 for £ 1.60 buy 1 pack and get 1 half price .
What is the difference in cost for all 70 pens between the two shops ?
Answers
Answer: 0.70
Step-by-step explanation: Shop A: 2.20*7=15.40
Shop B: 7 packs with full price and seven with half
So, 1.40*7=9.80 and 9.80/2=4.90 is price of other seven
Take sum 9.80+4.90=14.70
So the difference between the two shops is
15.40-14.70=0.70 hope i helped have a good afternoon
Seventy-nine ÷ nine and five
Answers
Answer:
13.77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
What is 6 3/4 percent of 800
Answers
Answer:
319973/400
Step-by-step explanation:
800 - 27/4%
800 - ( 27/4 × 1/100)
800 - 27/400
= 319973/400
please help i seriously don’t know this at all lol
Answers
Answer:
156m^2
Step-by-step explanation:
label the shapes A and B) triangle=shape b and rectangle=shape a
shape a)10x12=120m^2
shape b)(12x6)/2=36m^2
add the values of shape a and b together to get the area of the shape)120+36=156m^2
what are the mean variacne and standard deviatioon of the values? round to the nerates tenth. 11,11,3,1,11
Answers
Answer:
Mean = 8
Variance = 22
Standard deviation = 4.6904
Step-by-step explanation:
To find out Mean the formula is : total sum of data set / number of values
(11 + 11 + 3 + 1 + 11 + 11) / 6 = 48 / 6 = 8
Mean = 8
Now for variance we will form a table
x 11 11 3 1 11 11
(x - Mean) 3 3 -5 -7 3 3
(x - Mean)² 9 9 25 49 9 9
Now we the formula of variance =
Variance = (9+9+25+49+9+9)/(6-1) = 110/5 = 22
Variance = 22
Now we know Standard deviation = √(variance)
Therefore standard deviation = √22 = 4.6904
Hope this helps!<3
Answer: Mean = 8
Step-by-step explanation:
Add and simplify.
[tex]\frac{7}{27}\\\frac{1}{6}[/tex]
Answers
27
+
1
6
=
7
27
+
1
6
=
14
54
+
9
54
=
14
+
9
54
=
23
54
•ω• Hewo fren!
☆☆●◉✿ Answer:✿◉●☆☆
7/27 + 1/6 = 23/54
☆☆●◉✿Step-by-step explanation:✿◉●☆☆
When we add fractions we must make sure they both have the same denominator first. 7/27 and 1/6 don’t have the same denominator so THE FIRST STEP HERE is to convert both fractions to have the same denominator so we can add. IN ORDER TO DO THAT, we must find the LCM (Least Common Multiple). The LCM of 27 and 6 (,the denominators,) is 54. 6 • 9 = 54 and 27 • 2 = 54. So we have to multiply 1/6 • 9 and 7/27 • 2.
7/27 • 2 = 14/54
1/6 • 9 = 9/54.
14+9=23 so the answer is 23/54 because it cannot be simplified.
HOPE I HELPED! ∧∧
→⇒brainliest please? ∑(OΔO )♥♥︎
What interest rate will save you the most money if you carry a balance on a loan from one month to the next?
A. Simple interest rate
B. Effective rate
C. Compound interest rate
D. Annual percentage yield
Answers
The interest rate which will save the most money if the balance on a loan from one month to the next is carried is the compound interest rate.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
While carrying the balance on a loan from one month to the next month, the compound interest rate is better, as it allows the funds to grow faster than the other rate mentioned.
Thus, the interest rate which will save the most money if the balance on a loan from one month to the next is carried is the compound interest rate.
Learn more about the compound interest here;
https://brainly.com/question/24274034
Can some one double check this for me?
Answers
Answer:
Yep everything is correct!
You jsut multiply the beginning value with out the “0”
And then after that for every zero you see from 10-10000 just add the amount of “0”s.
Answer:
its all correct !!
Step-by-step explanation:
good job!
mark me brainliest :D
Pythagoras theorem
Please answer will mark BRAINELIST :)
Answers
Answer:
Step-by-step explanation:
Since we are to show by Pythagoras that the square will fit inside the circle without touching the edge of the circle , this means that we must find the value of the length of the diagonal of the square using Pythagoras.
For the square to fit in without touching the edge of the circle , this means that the diagonal of the square must be less than the diameter of the circle.
Length of the square is 5cm.
Recall Pythagoras theorem: it states that
the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides
= +
= 25 + 25
= 50
Take the square root of both sides , that is
D =
D = X , since 50 = 25 x 2
D = 5
D ≈ 7.07
If X = -6 and Y = 10 then find |x|-|3y|/|xy|
Answers
Answer:
(2)
Step-by-step explanation:
help for most brain! lol
Answers
Answer:
Im pretty sure it's false because 7.4p could 74, 148, 222 or 296. so it would be the other way around. It's false.
Step-by-step explanation:
help please!!!!!!!!!!!
Answers
Answer:
1/(xy)³
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
_____
[tex](x\cdot y)^{-3}=\boxed{\dfrac{1}{(x\cdot y)^3}}[/tex]
PLEASE HELP PLEASEEEE
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is ~
[tex] - {x}^{3} - 3 {x}^{2} + 4x[/tex]6. do Full body scan, Part II. The table below summarizes a data set we first encountered
in Exercise 6.32 regarding views on full-body scans and political affiliation. The differences in
each political group may be due to chance. Complete the following computations under the null
hypothesis of independence between an individual's party affiliation and his support of full-body
scans. It may be useful to first add on an extra column for row totals before proceeding with the
computations.
Party Affiliation
Republican Democrat Independent
Should
264
299
351
Answer Should not
38
55
77
Don't know/No answer 16
15
22
Total
318
369
450
(a) How many Republicans would you expect to not support the use of full-body scans?
(b) How many Democrats would you expect to support the use of full-body scans?
(c) How many Independents would you expect to not know or not answer?
Answers
Using the independence between an individual's party affiliation and his support of full-body scans, it is found that:
a) 57 Republicans would be expected to not support the use of full-body scans.
b) 305 Democrats would be expected to support the use of full-body scans.
c) 18 Independents would be expected to not know or not answer.
The independence between an individual's party affiliation and his support of full-body scans means that no matter the political party, the proportions for each option would be the same.
In the sample, there are 318 + 369 + 450 = 1137 people.
Item a:
38 + 55 + 77 = 170 people do not support the use of full-body scans.They should be equally divided between parties, hence:[tex]\frac{170}{3} = 56.67[/tex]
Rounding, 57 Republicans would be expected to not support the use of full-body scans.
Item b:
264 + 299 + 351 = 914 people support the use of full-body scans, hence:
[tex]\frac{914}{3} = 304.67[/tex]
Rounding, 305 Democrats would be expected to support the use of full-body scans.
Item c:
16 + 15 + 22 = 53 people do not know or do not answer, hence:
[tex]\frac{53}{3} = 17.67[/tex]
Rounding, 18 Independents would be expected to not know or not answer.
A similar problem is given at https://brainly.com/question/24372153
what percent of 12.9 is 11.2? round to the nearest hundredth of a percent.
what percent of 12.9 is 11.2 round to the nearest hundredth of a percent
Answers
A suit was marked with a 20% discount.
If the discount is $26.00, what was the original price of the suit?
Answers
Answer:
130
Step-by-step explanation:
HELP PLEASE NO LINKS!!!
Answers
Answer:
D. 1/(3^8)
Step-by-step explanation:
^^^This is the answer
Select all the correct answers.
Which statements are true about function g?
Answers
Answer:
i need the question
Step-by-step explanation:
The following formula gives the circumference C of a circle with radius r.
C=2πr
Find the circumference of a circle with radius 20
Answers
Answer:
The answer is 125.6
Step-by-step explanation:
C= 2x3.14x20
C=6.28x 20
C= 125.6
4.
Which of the following equations describes the graph?
A. y = 1/2x^2 - x + 2
B. y = 1/3x^2 - x - 2
C. y = -1/2x^2 - x - 2
D. y = 1/3x^2 - x + 2
Answers
Answer: The answer is NOT letter B or letter C
D. y = 1/3x^2 - x + 2
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: ( 3 /2 , 5 /4 )
Focus: ( 3 /2 , 2 )
Axis of Symmetry: x = 3 /2
Directrix: y = 1 /2
x y
0 2
1 4 /3
3 /2 5 /4
3 2
4 10 /3
Rice is being poured into a cylindrical container with radius 4.5 inches so
that the height of the rice is increasing at a constant rate of 0.5 inches per
second. At what rate is the volume of rice in the container increasing at
the instant when the height is the same as the radius? (=2ℎ)
Please help
Answers
asked:the istant of height is the same as the radius
given facts:cylindrical container with radius 3.5 inches height of rice increasing 0.5 inches per second
solve hidden given:(4.5+o.5+2)
what operation to be used: addition and subtraction
solve+4.5+05+2=6.0
chec: 6.0-4.5=1.5
Does the angle have to be
Answers
Answer:
Number 4
Step-by-step explanation:
Side-Angle-Side, it has to be between the two sides.
What is the best estimate of 687 × 391?
280,000
210,000
240,000
180,000
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Original equation/problem:}[/tex]
[tex]\mathbf{687\times391}[/tex]
[tex]\mathbf{= 391\times687}[/tex]
[tex]\mathbf{= 268,617}[/tex]
[tex]\huge\textbf{Now, we're going to solve for your}\\\huge\textbf{question:}[/tex]
[tex]\huge\text{Assuming you want us to estimate to the}\\\huge\text{nearest hundred. So we will do so, because}\\\huge\text{it is easier to understand it like that.}[/tex]
[tex]\mathbf{687 \rightarrow 700}\\\mathbf{391\rightarrow 400}[/tex]
[tex]\huge\textbf{New equation:}[/tex]
[tex]\mathbf{700 \times 400}[/tex]
[tex]\mathbf{= 400\times700}[/tex]
[tex]\mathbf{= 280,000}[/tex]
[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A.\ 280,000}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Suppose we have a linear equation relating y and x defined by
3y + 9x = 18,
where x is an independent variable and y is a dependent variable. Which of the following is a correct function notation
representation of y?
Select the correct answer below:
Answers
Answer:
(a) f(x) = -3x +6
Step-by-step explanation:
Solve for y, then write as a function.
3y +9x = 18 . . . . . . given
y +3x = 6 . . . . . . . . divide by 3
y = -3x +6 . . . . . . . subtract 3x
f(x) = -3x +6 . . . . . written using function notation
Describe a situation that could be represented
by 8
Answers
One student scored 92 percent in his math class. Another scored 100 percent in the same class.
By how much did the other student score higher than the first?
⇒ 8%
I hope this helps!
$332.8 30percent off
Answers
Answer:
232.96$
Step-by-step explanation:
Answer this problem y =-7/5x-1/5
Answers
Step-by-step explanation:
y=-7/5x-1/5
=-7×5/5x-1
=-35/5x-1
a. A teacher has 5 rulers. Each
ruler is one foot long and 3 of
them are plastic. What is the total
length of the rulers if they are
laid end to end?
Х
=
Answers
Answer:
5
Step-by-step explanation:
Since each is 1 foot long and there is 5, then, the total length is 5
Find the average of 10, 18 , and 23
Answers
Answer:
17
Step-by-step explanation:
(10+18+23)/3
=51/3
=17
A square hole 7.50 cm along each side is cut in a sheet of copper. (a) Calculate the change in the area of this hole resulting when the temperature of the sheet is increased by 49.0 K. cm2(b) Does this change represent an increase or a decrease in the area enclosed by the hole
Answers
Answer:
it increases the the hole
Step-by-step explanation: