Answers
110 + (8x-10) = 180
8x-10 = 70
8x = 80
x = 10
8(10)-10=70
If you take the measurements of the two angles that are given their sum should equal 180
So you subtract 110 from 180 to find out what 8x-10 should equal.
180-110=70
Therefore
8x-10=70
Add 10 to both sides
8x=80
Divide by 8 on both sides
x=10
Related Questions
Wayne bought blueberries. He uses 3/8 of the blueberries to make blueberry bread,
1/6 of the blueberries to make pancakes, and
5/12 of the blueberries to make jam. If Wayne uses 69 ounces of the blueberries he bought, how many ounces of blueberries did he buy?
Answers
Hurry please
:)))
I NEED HELP
Answers
Answer:
[tex] \huge\frac{ \sqrt{6} }{ \sqrt{5} } = \frac{ \sqrt{30} }{5} [/tex]
√30/5 is the right answer.can someone help me?!!
Answers
couldn't be me
Step-by-step explanation:
Point E has a positive y-coordinate.
Answers
Answer:
please be more specific in your answer.
Step-by-step explanation:
i know that if it has a positive y coordinate then it would mean it has to be above the x-axis but thats all i can tell you from this.
13. The table shows the height of a plant as it grows. Which equation in point-slope form gives the
plant's height at any time?
Time (months)
Plant Height
(cm)
2
16
4
32
6
48
8
64
Oy - 16 = S(x - 2)
Oy - 16 = 3x - 2
3- 16 = S(x - 2)
The relationship is non-linear
Answers
Given:
Table of values.
To find:
The equation in point slope form.
Solution:
From the given table it is clear that, the relationship is linear because the rate of change is constant because if x-value increases by 2 then y-values increases by 16.
Consider any two points from the table, i.e., (2,16) and (4,32).
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\dfrac{32-16}{4-2}[/tex]
[tex]Slope=\dfrac{16}{2}[/tex]
[tex]Slope=8[/tex]
The point is (2,16) and the slope is 8, so the point slope form is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-16=8(x-2)[/tex]
Therefore, the relationship is linear and point slope form is [tex]y-16=8(x-2)[/tex].
Answer:
y - 16 = 8(x - 2)
PLEASE HELP! and also please show your work!!
Answers
Answer: d) b = 12
2/3.b - 1/3.b + 12 = 16
⇔ 1/3. b = 16 - 12
⇔ 1/3.b = 4
⇔ b = 4.3 = 12
Step-by-step explanation:
Answer:
b = 12
Step-by-step explanation:
2/3 b - 1/3 b + 12 = 16
or, 2b/3 - b/3 + 12 = 16
or, 2b -b/ 3 + 12 = 16
or, 2b - b = 16 - 12
or, b = 4 × 3
therefore, b = 12
what choice is a solution to the system of equations? y=2x-3 y-9=-x
Answers
Answer:
[tex](4,5)\ or\ x=4,y=5[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\y=2x-3\\y-9=-x\\Now,\ lets\ separate\ all\ the\ constant\ terms\ to\ the\ RHS\ and\ the\ variable\\ terms\ to\ the\ LHS.\\Hence,\\y-2x=-3\\y+x=9\\By\ subtracting\ the\ two\ equations:\\(y-2x)-(y+x)=(-3)-(9)\\Hence\ lets\ simplify\ this\ main\ equation: \\y-2x-(y+x)=-3-9\\y-2x-y-x=-12\\-3x=-12\\x=\frac{-12}{-3}=4\\\\Now,\ lets\ consider\ the\ second\ equation\ in\ the\ solution:\\y-9=-x\\Substituting\ x=4,\\y-9=-(4)\\y-9=-4\\y=-4+9\\y=5\\[/tex]
[tex]Now,\\We\ get\ the\ solution\ to\ this\ system\ of\ equations:\\x=4,y=5\\By\ putting\ this\ as\ a\ co-ordinate\ pair (x,y):\\(4,5)[/tex]
Answer:
The solution of the system of equations will be:
[tex]y=5,\:x=4[/tex]
Step-by-step explanation:
Given the system of equation
[tex]\begin{bmatrix}y=2x-3\\ y-9=-x\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-2x=-3\\ y+x=9\end{bmatrix}[/tex]
so
[tex]y+x=9[/tex]
[tex]-[/tex]
[tex]\underline{y-2x=-3}[/tex]
[tex]3x=12[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}y-2x=-3\\ 3x=12\end{bmatrix}[/tex]
solve 3x=12 for x
[tex]3x=12[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
[tex]x=4[/tex]
[tex]\mathrm{For\:}y-2x=-3\mathrm{\:plug\:in\:}x=4[/tex]
[tex]y-2\cdot \:4=-3[/tex]
[tex]y-8=-3[/tex]
Add 8 to both sides
[tex]y-8+8=-3+8[/tex]
[tex]y=5[/tex]
Thus, the solution of the system of equations will be:
[tex]y=5,\:x=4[/tex]
42.
*=3"y=9,- 27 and "y"? - 1, then abe is a
(a) 1
) (b) 27
(e)
( (d) 0
43. In given fig., the diagonals of a rectangle ABCD
Answers
Answer: (d) 0
we have:
[tex]y=9^{b}=(3^{2})^{b}=3^{2b}\\\\z=27^{c}=(3^{3})^{c}=3^{3c}\\\\\\x^{bc}.y^{ca}.z^{ab}=1\\\\<=>(3^{a})^{bc}.(3^{2b})^{ca}.(3^{3c})^{ab}=1\\\\\\<=>3^{abc}.3^{2abc}.3^{3abc}=1\\\\\\<=>3^{6abc}=3^{0}\\\\\\=>6abc=0\\\\\\<=>abc=0[/tex]
Step-by-step explanation:
Answer:
abc = 0
Step-by-step explanation:
[tex]x = {3}^{a} \\ y = {9}^{b} = {3}^{2b} \\ z = {27}^{c} = {3}^{3c} \\ \\ \because \: {x}^{bc} {y}^{ca} {z}^{ab} = 1 \\ \\ \therefore \: ( {3}^{a} )^{bc} ( {3}^{2b} )^{ca} ( {3}^{3c} )^{ab} = 1 \\ \\ {3}^{abc} .{3}^{2abc} .{3}^{3abc} = 1 \\ \\ {3}^{abc + 2abc + 3abc} = 1 \\ \\ {3}^{6abc} = {3}^{0} \: \\ ( \because \: {3}^{0} = 1) \\ \\ \because \: bases \: are \: equal \\ \therefore \: exponents \: will \: also \: be \: equal \\ \\ \implies \: 6abc = 0 \\ \\ \implies \: \red{ \bold{abc = 0 }}[/tex]
Can someone please help me? If it is correct ai will give Brainliest
Thank you
Answers
9514 1404 393
Answer:
A
Step-by-step explanation:
Collecting terms of the expression, we have ...
x + 0.1x = x(1 +0.1) = 1.1x
In words, adding 10% is the same as multiplying the value by 1.1. Choice A is appropriate.
ASAP PLS HELP ME I NNED HELP
Answers
Answer:
perimeter=40.9ft
Step-by-step explanation:
The length at the top is 10ft,the length at the bottom is 10+4ft=14ft and the other lengths are8.9ft and 8ft
perimeter=10+14+8+8.9=40.9ft
Rewrite each fraction with a denominator of 24 2/3 5/8
Answers
Answer:
A)16/24
B)15/24
Step-by-step explanation:
We were told to rewrite so that the denominator will be 24
A)2/3
This can be rewritten as 16/24, so that the denominator is now 24. And if we divide the numerator (16) by factor of 8 and the denominator (24) by factor of 8. Then we have 2/3.
OR
[2/3 × 8/8] = 16/24
B)5/8
This can be rewritten as 15/24, so that the denominator is now 24. And if we divide the numerator (15) by factor of 3 and the denominator (24) by factor of 3. Then we have 5/8
OR
(5/8 × 3/3)= 15/24
I need help finding the missing side.
Answers
Answer:
x ≈ 25.1
Step-by-step explanation:
Using the cosine ratio in the right triangle, that is
cos64° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{11}{x}[/tex] ( multiply both sides by x )
x × cos64° = 11 ( divide both sides by cos64° )
x = [tex]\frac{11}{cos64}[/tex] ≈ 25.1 ( to the nearest tenth )
what is the answer to the question?
Answers
Answer:
120°
Step-by-step explanation:
m<ABD+m<DBC=m<ABC
61°+59°=120°
hope this helped!
Answer:
We conclude that the value of m∠ABC = 120°
Step-by-step explanation:
Given
m∠ABD = 61°
m ∠DBC = 59°
To Determine
m∠ABC = ?
It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.
Therefore,
m∠ABC = m∠ABD + m∠DBC
= 61° + 59° ∵ m∠ABD = 61°, m ∠DBC = 59°
= 120°
Therefore, we conclude that the value of m∠ABC = 120°
Perrie invests £25000 for 3 years in a saving account. She gets 2.7% per annum compound interest. Calculate the total amount of interest perrie will get after 3 years.
Answers
Answer:
I (interest) = £ 2,080.17
Step-by-step explanation:
Perrie invests £25000 for 3 years in a saving account. She gets 2.7% per annum compound interest. Calculate the total amount of interest perrie will get after 3 years.
To solve the above question, we would use the Periodic compound interest formula
A = P(1 + r) ^t
Where P = Principal = £25000
r = Interest rate = 2.7 % = 0.027
t = time in years = 3 years
Hence:
A = £25,000( 1 + 0.027)³
A = £27,080.17
A = P + I where
P (principal) = £ 25,000.00
I (interest) = £27,080.17 - £ 25,000.00
I (interest) = £ 2,080.17
The total amount of interest perrie will get after 3 years is £ 2,080.17
The graph shows the relationship between the number of pounds of
apples purchased and the total cost of the apples.
What is the cost of 1 pound of apples? Enter the answer in the box.
Answers
Given:
The graph shows the relationship between the number of pounds of apples purchased and the total cost of the apples.
To find:
The cost of 1 pound of apples.
Solution:
We need to find the slope of the line to get the cost of 1 pound of apples.
From the given graph it is clear that the line passes through two points (0,0) and (2,3). So, the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{3-0}{2-0}[/tex]
[tex]m=\dfrac{3}{2}[/tex]
[tex]m=1.5[/tex]
Therefore, the cost of 1 pound of apples is $1.5.
Answer:
1.5
Step-by-step explanation:
A square has a perimeter of 76 ft. What is the length of each side?
Answers
Answer:
19ft
Step-by-step explanation:
76÷4-- because a square has 4 sides
=19ft
19+19+19+19
=76
Answer:
nineteen. division by four
Answer plzz I give will correct answer as brainliest
Answers
Answer: 13m
Step-by-step explanation:
A^2+ B^2= C^2
5^2+ 12^2= c^2
169= C^2
then square root the 169 to get 13
If at a toy store, 2 board games cost $13.40, what is the unit price of a board game?
Answers
Answer:
The unit price of a board game is $6.70
Step-by-step explanation:
1 board/2boards = x/13.4
Cross multiply:
13.4*1/2x
13.4/2x
x=6.7
Hope this helps plz hit the crown :D
What is the value of x in the equation 2(X+3) = 4(X-1)2
O1
O2
O3
O5
Please hurry ._.
Answers
Plzzzz help and also can you plz show how you got the answer
Answers
Answer:hi
Step-by-step explanation:
Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 3 scoops of powdered drink mix with 1 gallon of water to make each pitcher of juice. One of Ms. Albero’s students said she will mix 12 scoops with 3 gallons of water to make 4 pitchers. How can you use the concept of proportional relationships to decide whether the student is correct?
Answers
Answer:
the student is wrong
Step-by-step explanation:
the og directions said 3 scoops / 1 gallon / 1 pitcher. if you are using 12 scoops, then the gallons of water will be proportional, meaning 3x4=12 scoops / 1x4=4 gallons / 1x4=4 pitchers. if you x4 to one of them, then the directly porportinal values also have to be multiplied by the same number, hence making the student wrong since they should have 4 gallons for 12 scoops
3 number sentences with the answer of 2021.
Number sentence may have exponents, parenthesis, etc.
Answers
Tim is going to an amusement park that cost 30.00 to get into.Treats like cotton candy carmel apples and funnel cakes cost 2.00 dollars each .Tim does not want to spend more than 62.00 in all. Solv for x ,where x equals the number of 2.00 treats tim can buy
Answers
Answer:
x = 16 treata
Step-by-step explanation:
Let us represent x = Number of treats that Tim can buy
We are told that: Tim does not want to spend more than $62.00 in all.
= Time wants to spend less than or equal to $62.00
Tim is going to an amusement park that cost $30.00 to get into.Treats like cotton candy carmel apples and funnel cakes cost 2.00 dollars each .
Therefore, our inequality equation =
$30.00 + $2.00 × x ≤ $62.00
30 + 2x ≤ 62
Solving for x
30 + 2x ≤ 62
2x ≤ 62 - 30
2x ≤ 32
x ≤ 32/2
x ≤ 16
Hence, Tim can buy no more than(less than or equal to ) 16 treats
please please please help!! i’ll mark the brainliest and give 15 points!!!!
Answers
9514 1404 393
Answer:
-108
Step-by-step explanation:
About the easiest way to do this for small values of n is to compute each of the terms using the given recurrence relation.
[tex]a_1=4\\\\a_2=-3a_1=-3(4)=-12\\\\a_3=-3a_2=-3(-12)=36\\\\a_4=-3a_3=-3(36)=-108\\\\\boxed{a_4=-108}[/tex]
_____
Alternate solution
You recognize that the recurrence relation describes a geometric sequence with a first term of 4 and a common ratio of -3. The n-th term of a geometric sequence is ...
[tex]a_n=a_1\cdot r^{n-1} \qquad\text{for first term $a_1$ and common ratio $r$}[/tex]
Then the 4th term will be ...
[tex]a_4=4\cdot(-3)^{4-1}=4\cdot(-27)=-108[/tex]
Solve the two-step equation. 14 = 31.7 – 3x What is the solution? x = \
Answers
3x=31.7-14
3x=17.7
X = 5.9
Answer:
x= 5.9
Step-by-step explanation:
You are ordering a sandwich for lunch. If the sandwich shop boasts that they have 25 different toppings for their sandwiches, and you can choose up to five for no extra cost, how many combinations of toppings can you get on your sandwich without having to pay more?
Answers
Step-by-step explanation:
Number of Combinations
= 25C0 + 25C1 + 25C2 + 25C3 + 25C4 + 25C5
= 1 + 25 + 300 + 2300 + 12650 + 53130
= 68,406.
There are a total of 68,406 combinations.
Answer:
6
Step-by-step explanation:
Examen Compétence 1: Proportions et algèbre
1.
Dans un camp de jour, Marc essaie de te faire deviner le nombre d'élèves qu'il a
dans ses deux groupes. Dans le groupe A, le rapport entre les gars et les filles
est de 3:5 et celui du groupe B est de 2:3. Il y a 62 élèves en tout et il y a autant
de garçons dans le groupe A que dans le groupe B. Combien y a-t-il d'élèves dans
le groupe B?
Considérez qu'il y a "x" garçons dans chaque groupe et résolvez l'équation
algébrique.
Answers
Answer:
Check my link.
Step-by-step explanation:
Brainly keeps on saying my question either has a link or is inappropriate, and it neither has a link nor is inappropriate.
I have no clue as to what to correct.
plzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
6[tex]x^{8}[/tex][tex]y^{5}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
Given
3x²[tex]y^{4}[/tex] × 2[tex]x^{6}[/tex]y, then
3 × 2 × x² × [tex]x^{6}[/tex] × [tex]y^{4}[/tex] × [tex]y^{1}[/tex]
= 6 × [tex]x^{(2+6)}[/tex] × [tex]y^{(4+1)}[/tex]
= 6[tex]x^{8}[/tex][tex]y^{5}[/tex]
Mr Brown has 2 children are going to london by train 1 adult costs £24 and child ticket costs 12 1/3 off adults tickets and 60% off child ticket
Answers
Complete Question
Mr Brown has 2 children are going to london by train
1 adult costs £24 and child ticket costs 12
The Family Railcard offers:
1/3 off adults tickets and 60% off child ticket
What is the total cost of tickets when Mr Brown uses the Family Railcard
Answer:
£25.60
Step-by-step explanation:
From the question:
1 adult costs £24
The Family Railcard offers:
1/3 off adults tickets.
Hence:
1/3 × £24 = £8
The cost for Mr Brown = £24 - £8
= £16
Child ticket costs £12
The Family Railcard offers:
60% off child ticket
Hence = 60% × £12
= 60/100 × £12
= £7.2
The cost for 1 child = £12 - £7.2
= £4.8
The total cost of tickets when Mr Brown uses the Family Railcard is:
Cost for Mr Brown + Cost for his 2 Children
£16 + 2 × £4.8
£16 + £9.6
= £25.60
please help me........
Answers
Answer:
x = 54
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define
-12(x + 4) + 14x = 60
Step 2: Solve for x
Distribute -12: -12x - 48 + 14x = 60Combine like terms: 2x - 48 = 60Add 48 to both sides: 2x = 108Divide 2 on both sides: x = 54Answer:
x = 54
Step-by-step explanation:
-12(x + 4) + 14x = 60
i) distribute -12 to the whole parentheses of (x+4)
(-12 × x) + (-12 × 4) + 14x = 60
-12x - 48 + 14x = 60
ii) collect like terms
-12x + 14x - 48 = 60
2x - 48 = 60
iii) move constant to the right-hand side and change its sign
2x = 60 + 48
iv) add the numbers
2x = 108
v) divide both sides of the equation by 2
[tex] \frac{2x}{2} = \frac{108}{2} [/tex]
x = 54