Answers
Answer:
x = 8
Step-by-step explanation:
1. First, we should realize that the angle with 16x + 7 and the angle with 5x + 5 are same-side interior angles, meaning they add up to 180 degrees. This means that 16x + 7 + 5x + 5 = 180.
2. (Solving)
Step 1: Simplify both sides of the equation.
[tex](16x+5x)+(7+5)=180[/tex] [tex]21x + 12 = 180[/tex]Step 2: Subtract 12 from both sides.
[tex]21x + 12 - 12 = 180 - 12[/tex] [tex]21x = 168[/tex]Step 3: Divide both sides by 21.
[tex]\frac{21x}{21}=\frac{168}{21}[/tex] [tex]x = 8[/tex]Step 4: Check if solution is correct.
[tex]16(8)+7+5(8)+5=180[/tex] [tex]128 + 7 + 40 + 5 = 180[/tex] [tex]135 + 40 + 5 = 180[/tex] [tex]175 + 5 = 180[/tex] [tex]80= 80[/tex]Therefore, x = 8.
Related Questions
What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y=-4/3x -1
Answers
Answer:
[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-interceptParallel lines always have the same slope (m)Determine the slope (m):
[tex]y=\displaystyle-\frac{4}{3}x -1[/tex]
The slope of the given line is [tex]\displaystyle-\frac{4}{3}[/tex], since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be [tex]\displaystyle-\frac{4}{3}[/tex]. Plug this into y=mx+b:
[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]
Determine the y-intercept (b):
[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]
To find the y-intercept, plug in the given point (6,14) and solve for b:
[tex]14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22[/tex]
Therefore, the y-intercept of the line is 22. Plug this back into [tex]y=\displaystyle-\frac{4}{3}x+b[/tex]:
[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]
I hope this helps!
Show 2 + 5 in number line.
Answers
Evaluate the following real numbers:
1. l5l + l4l
2. 0.4 ÷ 10
3. ¼ + ⅔
4. 3 × 1 ½
5. ⅓ - ¼
6. (⅜) (8/5)
7. ⅖ + ⅗
8. -1 + (-1) + [-(9+4)]
9. the value of x + y if x = 4 and y = 6
10. 9² + 3³
Answers
Answer:
Q.1 Answer is 9
Q.2 Answer is 0.04
Q.3 Answer is 11/12
Q.4 Answer is 3/2
Q.5 Answer is 1/12
Q.6 Answer is 3/5
Q.7 Answer is 1
Q.8 Answer is -15
Q.9 Answer is 10
Q.10 Answer is 108
Pls anyone know this
Answers
526
562
265
256
652
625
256
265
526
562
625
652
I think that’s it. Hope this helps
[tex]\sf 19=7x-2x[/tex]
Answers
Answer:
[tex]3\dfrac{4}{5}[/tex]
Step-by-step explanation:
19 = 7x - 2x
19 = (7 - 2)x
19 = 5x
Divide both side by 5
19/5 = x
[tex]x=3\dfrac{4}{5}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Value of x is equal to ~
[tex] \boxed{3.8}[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
[tex]19 = 7x - 2x[/tex][tex]5x = 19[/tex][tex]x = 19 \div 5[/tex][tex]x = 3.8[/tex]The parking lot at a grocery store has 90 cars in it. 30% of the cars are two-toned. How
many cars are two-toned?
Answers
You can do this by finding 10%
10% of 90 = 0.1 x 90 = 9
Then you can times this value by 3 to find 30%
9 x 3 = 27
27 cars are two-toned
27
if 90 is 100% and we have to find 30% we have to do this:
(90 * 30) / 100 = 27
two toned cars are 27
what is the equivalent value 3/2×(−2)
Answers
Answer:
= -3
multiplying and dividing fractions
Answer:
-3
Step-by-step explanation:
3/2^(-2)=-3
Domingo earns $13 dollars per hour and worked 47.5 hours that week. He is paid
double time for all hours worked over 40 hours in one week. What is his gross pay
for the week?
Answers
Domingo earns 715$ in the week that is his gross income
Plzzzz I need Helpppp!!!
Answers
Answer:
(8x+15)=(7x+17){ being alternative angle}
8x+15=7x+17
8x-7x=17-15
x=2
here,
8x+15= 8×2+15
16+15=31
7x+17
7×2+17
14+17
31
again
(8x+15)+y=180°( being straight angle)
31+y=180
y=180-31
y= 149
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
In the given figure, Angles (8x + 15) and (7x + 17) are equal
because they form pair of Alternate interior angles.
[tex]8x + 15 = 7x + 17[/tex][tex]8x - 7x = 17 - 15[/tex][tex]x = 2[/tex]So,
[tex]8x + 15[/tex][tex]( 8\times 2) + 15[/tex][tex]16 + 15[/tex][tex]31 \degree[/tex]now, as we can see Angle y and (8x + 15) are forming linear pair; so their sum measures 180°
[tex](8x + 15) + y = 180[/tex][tex]31 + y = 180[/tex][tex]y = 180 - 31[/tex][tex]y = 149 \degree[/tex]Solve for x and find the measure of the indicated angle.
D
100°
(13x + 2)
70°
(18x + 2)%
B
=
mZC =
Answers
Answer:
[tex]{ \rm{100 + (13x + 2) + (18x + 2) + 70 = 360}} \\ \\ { \rm{31x + 174 = 360}} \\ \\ { \rm{31x = 186}} \\ \\ { \rm{x = 6 }}[/tex]
• Angle C
[tex]{ \rm{m \angle C = (13x + 2)}} \\ \\ { \rm{m \angle C = (13 \times 6) + 2 }} \\ \\ { \rm{m \angle C =80 \degree }}[/tex]
QUESTION 8
The city Music Hall charges $24.00 per adult and $14.00 per senior citizen. One day 492 people attended a concert. The total for tickets purchased
was $7878.00. How many senior citizens attended the concert?
O 393 senior citizens
O 99 senior citizens
O200 senior citizens
O 292 senior citizens
Answers
Answer:
Adults (x) = 99 and
Seniors (y) = 393
393 seniors
Step-by-step explanation:
Adults= x
Seniors = y
1) x+ y = 492
2) 24x + 14y = 7,878
1) x = 492 - y
2) 24 (492 - y) + 14 y = 7,878 (substitution)
11808 - 24y + 14y = 7,878
11,808 - 10y = 7,878
11,808 - 7,878 = 10y
3,930/10 = y
y = 393
1) x + 393 = 492 (substitution)
x = 492 - 393
x = 99
Given that
R
=
9
x
+
8
y
Find
x
when
y
=
3
and
R
=
5
Give your answer as an improper fraction in its simplest form.
Answers
Answer:
X = 19/9
Step-by-step explanation:
R = 9x + 8y
R = 5, Y = 3
5 = 9x + 8(3)
9x = 8(3) - 5
9x = 19
x = 19/9
Which equations have the same pair of solutions? Select all that apply.
n(n + 3)(n - 4) = 0
2n(4n + 6)(6n - 4) = 0
0 = 2n(6 - 4n)(4 - 6n)
0 = n(2n + 3)(3n - 2)
2n(2n + 3)(3n - 2) = 0
3n(6n + 9)(9n - 6) = 0
Answers
If the scale is 3cm to 8 km, what is 5 cm?
Answers
Answer:
Step-by-step explanation:
3 cm=8 km
1cm=8/3 km
5 cm=8/3×5=40/3 =13 1/3 km
The pictures is where my question is someone please answer it.
Answers
Answer:
functions: first one, third one, fifth one, seventh one, eigth one
the rest are not function
Step-by-step explanation:
if it is a function it either passes the line test or it doesnt have two outputs
Which of the sets of terms below does NOT include like terms? *
1 point
9m, -9m, 7m
1p, -7p, 7p
30, -25, 25
6x, 6y, 6z
Answers
I need help ASAP !!!
Answers
Answer:
B is it
Step-by-step explanation:
Graph y= –3x+4.
i need a pic
5o points and brain thing
Answers
Refer to the attachment
I need help please
And thank you
Answers
Answer:
-1, 3, and 5
Step-by-step explanation:
When mapping a function the inputs (x), the oval to the left, is the domain. The oval to the right, the output, is the range.
The black line is the graph of y = x. Which of these
equations could represent the blue line?
Answers
Answer:
A
Step-by-step explanation:
Answer:
The answer is (y=1/2x )
How many solutions are there for the following equation? Why?
8(x + 9) = 72 – 5x
Select the option that correctly answers both questions.
1 There is one solution, because the coefficients of the variables on both sides of the equation are different.
2 There is one solution, because the coefficients of the variables on both sides of the equation are the same.
3 There are no solutions, because the coefficients of the variables on both sides of the equation are different.
4 There are no solutions, because the coefficients of the variables on both sides of the equation are the same.
Answers
Answer:
I think 2? maybe 1.
Step-by-step explanation:
because it becomes 8x+72=72-5x which can then become 3x=0 then x=0/3 and 0/3=0 so x=0
find the total cost 35$ with 50% discount
Answers
Answer:
The total cost will then be $17.5
Answer:
17.5 dollars
Step-by-step explanation:
Sale price = $17.5 (answer). This means the cost of the item to you is 17.5. You will pay $17. 5 for a item with an original price of $35 when discounted 50%. In this example, if you buy an item at $35 with 50% discount, you will pay 35 - 17.5 = 17. 5
A rental car company charges $54.35 per day to rent a car and $0.09 for every mile driven. Jayden wants to rent a car, knowing that: • He plans to drive 425 miles. • He has at most $310 to spend. Use the drop-down menu below to write an inequality representing d, the total number of days Jayden can rent the car while staying within his budget.
Answers
The inequality representing d, the total number of days Jayden can rent the car while staying within his budget is 54.35d + 38.25 ≤ 310
Given:
Charge per day = $54.35
Charge per mile = $0.09
Total miles = 425 miles
Amount to spend = at most $310
let
d = number of days
The inequality:
54.35 × d + 0.09 × 425 ≤ 310
54.35d + 38.25 ≤ 310
54.35d ≤ 310 - 38.25
54.35d ≤ 271.75
d ≤ 271.75 / 54.35
d ≤ 5 days
Therefore, the total number of days Jayden can rent the car while staying within his budget is 5 days
Read more:
https://brainly.com/question/11166576
whats 12.3/342/75x75xyx85
Answers
Answer: 167?
Step-by-step explanation:
What is the P(Red Diamond Face Card) and the P (Black Face Card)
Answers
Answer:
9/1352.
Step-by-step explanation:
P(Red Diamond Face Card) = 3/52.
P (Black Face Card) = 6/52 = 3/26.
So the answer is 3/52 * 3/26
= 9/1352.
Dennis decided he wanted to go to the carnival. The carnival charges $6.00 for entry and $1.50 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 $35.00. Show your work.
Answers
We want to create a linear equation to model the given situation.
A) c(r) = $6.00 + $1.50*r
B) 19 rides.
We know that the carnival charges $6.00 for entry plus $1.50 for each ride.
A) With the given information we can see that if you ride for r rides, then the cost equation will be:
c(r) = $6.00 + $1.50*r
Where c(r) is the cost for going to the carnival and doing r rides.
B) If you have $35.00, then we can solve:
c(r) = $35.00 = $6.00 + $1.50*r
Now we can solve the equation for r.
$35.00 = $6.00 + $1.50*r
$35.00 - $6.00 = $1.50*r
$29.00 = $1.50*r
$29.00/$1.50 = r = 19.33
Rounding to the next whole number we get: r = 19
This means that with $35.00, Dennis could go to 19 rides.
If you want to learn more, you can read:
https://brainly.com/question/13738061
Can someone pls help me
Answers
18/24=0.75
?/80=.75
80x.75=?
?=60
5x+10=60
-10 -10
5x=50
/5 /5
x=10
sub x in for 10
10x5=50+10=60
C.X=10
Check cashing companies
charge high fees. Banks charge
less, or nothing, to cash checks
for their account holders. How
can you be sure to avoid check
cashing companies?
Answers
Answer:
they usually cost nothing if you go through your bank
Solve the inequality.
-12 < 1/2(x+16) < 18
Answers
Answer:
-40 < x < 20
Step-by-step explanation:
step 1: -12 < 1/2(x+16) < 18 --> Distribute
step 2: -12 < 1/2x + 8 < 18 --> subtract 8
step 3: -20 < 1/2x < 10 --> Multiply by 2
answer : -40 < x < 20
Please help It really important
Answers
A
the domain is the x-axis number soooo