Answer:
x = 17
Step-by-step explanation:
∠ DCE = ∠ ACE ( vertically opposite angles )
The sum of the 3 angles in a triangle = 180° , then
∠ DCE = 180° - (100 +x) = 180 - 100 - x = 80 - x
∠ ACE = 180 - (49 + 4x) = 180 - 49 - 4x = 131 - 4x
Equating the 2 angles
80 - x = 131 - 4x ( add 4x to both sides )
80 + 3x = 131 ( subtract 80 from both sides )
3x = 51 ( divide both sides by 3 )
x = 17
y=-2x
y=-x
y=6x
positive or negative??
Answer:
Positive i s the correct answer.
I hope it will work out
HURRY! THIS IS OVERDUE!
Pls help! I will mark brainliest!! No links, no stealing points, and only correct answers!!! I will report nonsense answers!!!
In which table does y vary directly with x?
Answer:
Answer is D
Step-by-step explanation:
The equation for D is y = x · 4
X | Y
1 · 4 = 4
2 · 4 = 8
3 · 4 = 12
So Y varies directly with x in table D
which one is correct and if you chose a,b,c,d explain why
a
b
c
d
Answer:
A. √150
Step-by-step explanation:
12² = 144
13² = 169
The only value of any of the options falling between 12 and 13 is √150
Can someone help me with this please?
Answer:
Step-by-step explanation:
Can you answer the question and explain it to me simply im just in 5th grade and i dont get it
Answer:
13/20
Step-by-step explanation:
12/20-4/20+5/20=
8/20+5/20=
13/20
Answer:
[tex] \frac{13}{20} [/tex]
Step-by-step explanation:
Before we can do anything with the fractions, we need to find a common denominator.
To do that, we will first divide 10 by 2 to get a denominator of 5, and whatever we do to the bottom we must do to the top as well. So we will also divide 6 by 2 to get 3.
So 6/10 has now been simplified to 3/5.
Next we can subtract 1/5 from 3/5 since they both share a common denominator of 5, now we have 2/5.
Now in order to find the common denominator of 2/5 and 1/4, we will simply cross multiply the two fractions together like so: (2 × 4 = 8 and 5 × 1 = 5), to get 8/20 and 5/20. So now we can add 8 and 5 normally, since they both share a common denominator now. That's how you get 13/20.
Hope it helps :)
I tried to keep it simple for you.
**PLEASE HELP ME**
its pre calc !
Answer:
a32 = -80
Step-by-step explanation:
The generic term of an arithmetic sequence is ...
an = a1 +d(n -1)
Using the supplied values for an and n, we can write two equations that can be solved for a1 and d.
-221 = a1 +d(79 -1)
-14 = a1 +d(10 -1)
Subtracting the second equation from the first, we have ...
-221 -(-14) = (a1 +78d) -(a1 +9d)
-207 = 69d . . . . . simplify
-3 = d . . . . . . . . . . divide by the coefficient of d
Then the value of a1 can be found as ...
-14 = a1 +(-3)(9) . . . . substitute for d in the second equation
13 = a1 . . . . . . . . . . . add 27
__
Using our formula to find the 32nd term, we have ...
an = 13 -3(n -1)
a32 = 13 -3(32 -1)
a32 = -80
The 32nd term of the sequence is -80.
HOW MUCH IT’S ( 4/2 - 1/2 ) + 3/4 I need the answer because I’m stay in test
Answer:
= 7.25
Conversion a mixed number 4 3/
4
to a improper fraction: 4 3/4 = 4 3/
4
= 4 · 4 + 3/
4
= 16 + 3/
4
= 19/
4
To find a new numerator:
a) Multiply the whole number 4 by the denominator 4. Whole number 4 equally 4 * 4/
4
= 16/
4
b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19
c) Write a previous answer (new numerator 19) over the denominator 4.
Four and three quarters is nineteen quarters
Conversion a mixed number 2 1/
2
to a improper fraction: 2 1/2 = 2 1/
2
= 2 · 2 + 1/
2
= 4 + 1/
2
= 5/
2
To find a new numerator:
a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/
2
= 4/
2
b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 2.
Two and one half is five halfs
Add: 19/
4
+ 5/
2
= 19/
4
+ 5 · 2/
2 · 2
= 19/
4
+ 10/
4
= 19 + 10/
4
= 29/
4
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 2) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 2 = 8. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - nineteen quarters plus five halfs = twenty-nine quarters.
Step-by-step explanation:
Answer:
you can write it in exact form which is 9/4 or decimal form which is 2.25 or mixed number form 2 1/4
Step-by-step explanation:
What is the nth term rule of the quadratic sequence below?
8
,
16
,
26
,
38
,
52
,
68
,
86
,
.
.
.
The [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex] .
What is quadratic sequence ?Quadratic sequences are sequences that include [tex]nth[/tex] term. They can be identified by the fact that the differences between the terms are not equal, but the second differences between terms are equal.
Quadratic sequence [tex]=an^2+bn+c[/tex]
Here [tex]a,b,c[/tex] are constant and [tex]n[/tex] is the position of term.
First difference [tex]= 3a+b[/tex]
Second difference [tex]=2a[/tex]
We have,
Quadratic sequence [tex]8,16,26,38,52,68,86,....[/tex]
Quadratic sequence [tex]=an^2+bn+c[/tex]
so,
For [tex]n=1[/tex];
[tex]8=an^2+bn+c[/tex]
[tex]8=a+b+c[/tex] [tex]........(i)[/tex]
For [tex]n=2[/tex];
[tex]16=4a+2b+c[/tex] [tex]........(ii)[/tex]
For [tex]n=3[/tex];
[tex]26=9a+3b+c[/tex] [tex]........(iii)[/tex]
Now,
Subtract equation [tex](i)[/tex] from [tex](ii)[/tex]
we get,
[tex]8=3a+b[/tex] [tex]........(iv)[/tex]
Subtract equation [tex](ii)[/tex] from [tex](iii)[/tex] we get,
[tex]10=5a+b[/tex] [tex]........(v)[/tex]
Subtract equation [tex](iv)[/tex] from [tex](v)[/tex] we get,
[tex]2=2a[/tex] (This is second difference mentioned above)
[tex]a=1[/tex]
Putting [tex]a=1[/tex] in [tex](iv)[/tex]
⇒[tex]b=5[/tex]
Now putting values of [tex]a[/tex] and [tex]b[/tex] in equation [tex](i)[/tex]
[tex]8=1+5+c[/tex]
[tex]c=2[/tex]
Now, putting values of [tex]a[/tex] , [tex]b[/tex] and [tex]c[/tex] in,
Quadratic sequence [tex]=an^2+bn+c[/tex]
we get,
[tex]nth[/tex] term rule [tex]=n^2+5n+2[/tex]
Hence, we can say that the [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex].
To know more about quadratic sequence click here
https://brainly.com/question/22412845
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Ruth wants to purchase a new video game that costs $59.00 and several bags of chips that sell for $1.99 each. She can spend no more than $75.00. Which inequality and its solution represents her possible purchase?
Answer:
1.99c + 59 ≥ 75, where c ≥ 8.04
Step-by-step explanation:
Given f(x) = 8 — x/6 evaluate f(66). Leave your answer in fraction form.
Answer:
f(66) = -3
Step-by-step explanation:
f(x) = 8 - x/6 Substitute 66 for the vale of x and solve
f(66) = 8 - 66/6
f(66) = 8 - 11
f(66) = -3
Using the formula find the slope of a line with the points (10,20) and (30,50).
Answer:
m = 2/3
Step-by-step explanation:
Slope is defined as the ratio rise/run.
As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30. Thus, the slope of the line is m = 30/20, or 2/3.
11. Consumer Math A store has apples on sale at $3.00 for 2 pounds.
a. How many pounds of apples can you buy for $9. Explain your answer
Answer:
6 pounds
Step-by-step explanation:
3$ for 2 pounds
9$ has three 3$
9 ÷ 3 = 3
Then multiply it to 2 pounds.
3 x 2 = 6
That's how we get the 6 pounds.
Please help and please no links..thanks ¯\_(ツ)_/¯
Answer:
[tex]\frac{c}{4} +5 = 7[/tex]
Step-by-step explanation:
The wording, "the quotient of a number and 4," can be displayed as c/4. C would be our variable for the number because the question asks specifically for it. 5 more would demonstrate that we're adding 5 more to our equation. Which would result in c/4 + 5. However, since it equals 7, just add that portion to create the following equation:
[tex]\frac{c}{4} +5 = 7[/tex]
Answer:
c / 4 + 5 = 7
Hope this helps!
Step-by-step explanation:
5 + ( more ) than the quotient ( division ) of a number and ( + ) 4 is ( = ) 7
5 + c / 4 = 7
c / 4 + 5 = 7
Help me solve this-> g(x) = 2x + 3
g(7) =
Answer:
17
Step-by-step explanation:
it's sufficient to set x=7
g(7)=2×7+3=14+3=17
Answer:
g(7)=2.7+3=17
what's the power. ......
Answer:
Rate of DOING WORK is called power
Write the slope- intercept form of the equation
Answer:
y = -3/4x + 1
Step-by-step explanation:
PLEASE HELP
What is the explicit formula for this sequence?
-6, -2, 2, 6, 10, ...
^ an = (-6) + (n-1)4
if i get 1 pack of pepsi bottles 8-pack how much would it be if it i can get 3 for $12.88?
Answer:
38.64
Step-by-step explanation:
If 3 = 12.88
Then Just do 12.88+12.88=25.76 which also equal 6. Then 12.88/2=6.44
so 25.76+6.44+6.44=38.64
Therefore it would be 38.64.
I'm not sure but base on the math above I think the answer is 38.64
What is the zero of the function represented by this graph?
Answer:
Step-by-step explanation:
The easiest way to answer your question is to graph it. I've enclosed a graph for you. The answer to the question as it is asked is y ≥ 2.
The answer to your question (which is a much more interesting question) is that there is no 0. A zero of a function must touch or intersect the x axis.
Choose the mixed number that has not been reduced to simplest form.
7 14/18
5 5/6
5 7/12
4 2/5
Hello there!
7 14/18 is the mixed number that has not been reduced to simplest form.
We can divide the numerator and denominator by 2 to reduce the fraction:
7 7/9
The answer is Option A. Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]SilentNature[/tex]
Kolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.
Part A Write an expression to represent this scenario where r represents the number of rides.
Part B Create and solve an equation to determine how many possible rides Deniss can ride if his parents gave him $26.00
Show your work.
Part A: y=mx+b where m is the slope and b is the constant. $8 for entry is the constant, at is wont change during our equation. $1.4 is our slope as its the cost per ride. r is going to be our x. So our equation will be 1.40r + 8
Part B: Now that we know the amount of money, we can place the $26 for y. So lets solve now with our new equation of:
26 = 1.4r + 8
26 - 8 = 1.4r
18 = 1.4r
18 / 1.4 = r
12.85 = r
Obviously he cant ride 12.85 rides. Typically we round up, but to say he rides 13 rides means he has to have $26.2, which we know he does not have. Therefore, we say that he can ride 12 rides.
Quick math check:
1.4(12) + 8 = $24.8 which is less then $26.
I hope this helps! :)
Estimate the r- value for each scatterplot
Answer the questions below, no links.
Answer:
[Graph] See attached
[Question] A, C, & E
Step-by-step explanation:
[Graph] 0.4 -> 2/5
() It will go through the origin (0, 0) because we have no b, or y-intercept
() From (0, 0) it will go 2 up and 5 over, 2 up and 5 over, etc etc
() See attached
[Question]
() A, C, E
() It is proportional (one to one as it is a straight line) so A is correct
() The slope in y = mx + b is m, and our m is 0.4 so it is the slope
() 3 * 0.4 = 1.2, so E is correct
Find x and y.
[tex]\\ \sf\longmapsto 2x+11=3x-9[/tex]
[tex]\\ \sf\longmapsto x=11+9[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
And
[tex]\\ \sf\longmapsto y+10=2y-40[/tex]
[tex]\\ \sf\longmapsto 2y-y=10+40[/tex]
[tex]\\ \sf\longmapsto y=50[/tex]
Step-by-step explanation:
x2x + 11 = 3x - 9
2x - 3x = -9 - 11
x = -20
[tex] \: [/tex]
yy + 10 = 2y - 40
y - 2y = -40 - 10
-y = -50
y = 50
what is 5000000000000 divided by 11
Answer:
45.454
Step-by-step explanation:
y+x=1 2x+y=5 x+y=5 solve
Answer:
x=5-y
Step-by-step explanation:
verizon wireless charges $85 for a 5 person plan and $65 for a 3 person plan.
Answer:
so whats the question. ...........
What is the value of ? show your work help please.
Answer:
Step-by-step explanation:
[tex]\frac{25}{20}=\frac{30}{4x-4}\\\frac{30}{1.25}=4x-4\\x=7[/tex]
Answer:
x = 7
Step-by-step explanation:
I'm assuming ΔJKL and ΔMNP are similar as you wouldn't be able to solve it otherwise. ∠J≅∠M and ∠K≅∠N, so I assume its just a poorly formed question.
With that assumption made, if 2 triangles are similar, the scale factor on all sides are equal. That means this:
[tex]\frac{JK}{MN} =\frac{JL}{MP}[/tex]
The scale factor is just the new length divided by the old length, and that equation shows the scale factor on both of those side lengths are the same. With 3 of the 4 side lengths, you can plug those values in and solve for the last unknown.
[tex]\frac{25}{30} =\frac{20}{4x-4}[/tex]
I use cross multiplication here:
[tex]25(4x-4)=20(30)\\100x-100=600\\100x=700\\x=7[/tex]
CALCULATE
(32/40×100%) =??
NO SPAM PLEASE ,ಠ_ʖಠ
I WILL MAKE BRAINLIEST WHO WILL ANSWER CORRECT ( ╹▽╹ )
Answer:
[tex] \frac{32}{40} \times 100[/tex]
[tex] \frac{32}{4} \times 10[/tex]
[tex]8 \times 10[/tex]
[tex]80[/tex]
80 is the answer
Answer:
(32/40×100%)= x
(32/ 40 ) × 100 = x
0.8 × 100 = x
x = 80
(32/40×100%)= 80
Solve. −4x−21=91 Enter your answer in the box. x =
Answer:
X = -27
Explain your answer:
Answer:
x = -28
Explanation
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