Answer:
The value of x is 29.
Step-by-step explanation:
→ The angles arent congruent, they are supplementary.
→ Supplementary angles equals 180 degrees.
→ The equation looks look:
[tex]2x - 10 + 4x + 16 = 180[/tex]
→ Let's solve the equation.
[tex]2x - 10 + 4x + 16 = 180 \\ 6x + 6 = 180 \\ \frac{ \: \: \: \: \: - 6 = - 6}{ \frac{6x}{6} = \frac{174}{6} } \\ x = 29[/tex]
→ Therefore, the value of x is 29.
On the blueprints for a building, 8 inches represents 28 feet. If the blueprints show a distance of 16 inches
between the two walls, how many feet separate the walls?
Answer:
56 feet
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Robert gets a loan from his bank.
He agrees to borrow £6000 at a fixed annual simple interest rate of 7%.
He also agrees to pay the loan back over a 10 year period.
How much money in total would he have paid back in 10 years?
Answer:
£10,200
Step-by-step explanation:
Simple interest = principal × rate × time
Principal = £6000
Rate = 7% = 0.07
Time = 10 years
Simple interest = principal × rate × time
= £6000 × 0.07 × 10
= £4,200
Total = simple interest + principal
= £4,200 + £6,000
= £10,200
He would have to pay back a total of £10,200 in 10 years
Leland swam from the dock east 26 meters. He turned and swam another 10 meters, as shown in the diagram below. 26 m Dock 10 m What is the value of x, the distance Leland swam to return to the dock?
Answer:
x=12
Step-by-step explanation:
Answer:
24m
Step-by-step explanation:
you can use khan academy to help you out on this kind of stuff
please help, choose the correct equation
At what point do the lines y= 2x + 3 and y = 5x - 9 intersect?
Answer:
(4,11)
Step-by-step explanation:
y=2x+3
y=5x-9
the first equation is equal to the second equation so
2x+3=5x-9
put like terms together
2x-5x= -9-3
-3x= -12
divide both sides by -3
.•.x=4
now, use the value of x to find the value of y like this:
y=2x+3 (x=4)
y=2(4)+3
y=8+3
y=11
therefore, the two lines intersect at the point (4,11)
find the area of a triangle with a base of 18 feet qnd a height of 7 feet
Answer:
63
Step-by-step explanation:
A= HxB÷2
7x18÷2=63
Solve the inequality 24 + 4x ≥ 100
Answer:
x ≥ 19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
24 + 4x ≥ 100
Step 2: Solve for x
Subtract 24 on both sides: 4x ≥ 76Divide 4 on both sides: x ≥ 19Here we see that any value x greater than or equal to 19 would work as a solution to the inequality.
A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
Answer:
2772
Step-by-step explanation:
Match each graph with its slope.
Answer:
(Method: rise/run)
1. 1/3
2. 3
3. 1
4. 2
answer the following table:)
Susanna added 2 ×
1
100
to 204.197. What is the sum?
Answer:
204.217
Step-by-step explanation:
Substitute teachers with Lexington School District get paid by the day, although subs with teaching credentials earn a different amount than subs without credentials. Yesterday, 3 non-credentialed subs and 2 credentialed subs taught in the district. That cost the district $368. Today, 11 non-credentialed subs and 7 credentialed subs taught, receiving $1,316 from the district. How much do subs get paid?
Katherine went to Hibbet sports and spent $125.50 on a pair of shoes and $12.25
on a t-shirt. If the sales tax is 8.25%, how much will she pay in all?
How much was the total purchase without tax?
How much was the tax?
How much will she pay in all, purchase plus tax
Answer:
1. $137.75
3. $149.15
Step-by-step explanation:
1.
12.25+125.50=137.75
3. 8.25% of 137.75= 11.4
137.75+11.4=149.15
Answer:
1. $137.75
3. $149.15
Step-by-step explanation:
(Giving brainliest!!)
Draw a fraction model to solve this equation
3 ÷ 1/8
Here is an image if needed!:
Answer:
It is 24
Step-by-step explanation:
Use keep change flip, keep the 3 change the division to multiplication, and flip the 1/8 to 8/1 and 3 times 8/1 is 24
what fraction is equivalent to .25
Answer:
2/8
Step-by-step explanation:
Thomas has two bags, one bag with 6 yellow and 5 red marbles, and one with 2 green and 4 blue marbles. If his friend Nick pulls one marble from each bag, what is the probability of him getting one red and one blue marble?
The probability of him getting one red marble from 5 red marbles in one bag and one blue marble from 4 blue marbles in the other bag is 4/11.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Number of marbles in first bag = 11
Yellow marbles = 6
Red marbles = 5
Number of marbles in the second bag = 6
Green marbles = 2
Blue marbles = 4
The probability of him getting one red and one blue marble.
= [tex]\frac{^5C_1}{^{11}C_1} \times\frac{^4C_1}{6^C_1}[/tex]
= 5/11 x 4/5
= 4/11
Thus,
The probability of him getting one red and one blue marble is 4/11.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
Find the slope of the line that contains the points (3, -4) and (-1, 5)
Answer:
m = -9/4
Step-by-step explanation:
Hope this helps!
LONG ANSWER TYPE QUESTIONS
11. Sara borrowed 60,000 from a money lender at 15% rate of interest per annum. What is
the interest she paid after 4 years?
1/6 x 3/4
Pls ASAP
Brainpower to correct-est and fastest answer.
If you lie, I'll know
I'm horrible at this please help:((((
Step-by-step explanation:
You can insert different values of x to find y
For example:
x = 4
Plug in x into the equation
y = -1/2(4) + 5
y = -2 + 5
y = 3
So your point will be (4, 3)
If you do 1 more like this, you can draw a line between them. Or you can use Desmos to graph the line.
Hope this helped you!!
Could someone please help me with this?
Answer:
Both are 38°
Step-by-step explanation:
Is in attachment...
3x - 4y = 6 and 5x + 8y = -1
Answer:
1. slope:3/4
y-int: (0,-3,2)
2. slope: -5/8
y-int: (0,-1/8)
Step-by-step explanation:
Answer:
Point Form: (1,−3/4)
Equation Form: x=1, y= −3/4
Step-by-step explanation:
Solve for x in the first equation.
x=2+4y/3
5x+8y=−1
Replace all occurrences of x with 2+4y/3 in each equation.
10+44y/3=−1
x=2+4y/3
Solve for y in the first equation.
y=−3/4
x=2+4y/3
Replace all occurrences of y with −3/4 in each equation.
x=1
y=−3/4
help pretty pleasee
Answer:
so you just put both equations together and do the equation like so hers an example
explanation: (7x-22)-(4x+5)= but if your looking for X
x=9
(5x - 15) - (2x + 5) = 3x - 20
(2x + 5) - (5x - 15) = - 3x + 20
The sum is ___
Step 1: Simplify both sides of the equation.
5x−15−(2x+5)=3x−20
5x−15+−1(2x+5)=3x−20(Distribute the Negative Sign)
5x+−15+−1(2x)+(−1)(5)=3x−20
5x+−15+−2x+−5=3x−20
5x+−15+−2x+−5=3x+−20
(5x+−2x)+(−15+−5)=3x−20(Combine Like Terms)
3x+−20=3x−20
3x−20=3x−20
Step 2: Subtract 3x from both sides.
3x−20−3x=3x−20−3x
−20=−20
Step 3: Add 20 to both sides.
−20+20=−20+20
0=0
Answer:
All real numbers are solutions.
2x+5−(5x−15)=−3x+20
Answer:
All real numbers are solutions.
Which number has a 5 in the ten thousandths place?
0.20815
0.30256
0.40571
0.50098
Answer:
b
Step-by-step explanation:
Step-by-step explanation:
second option
0.30256
it's got 5 in ten thousandths place.
have a great day :)
What is the solution to the equation shown below?
2
32 +5=1
A) X= -6
B) X= 4
C) X= -4.5
D) X= 9
Answer:
Step-by-step explanation:
Here you go mate
Step 1
2/3x+5=1 Equation
Step 2
2/3x+5=1 Simplify
2/3x=-4
Step 3
2/3x=-4 Simplify
answer
x=-6
Please help me on this question
Answer:
(g + 10) - 8
Step-by-step explanation:
Answer:
g+10=y-8
Step-by-step explanation:
Brainly plss?
What is the joint relative frequency that a person surveyed likes classical
music and pop music? *
5 points
What Types of Music do you Like?
Classical
Yes
No
Total
Pop
Yes
No
82
42
124
15
61
76
Total
97
103
200
0.41
0.97
Ο Ο Ο Ο
0.76
0.82
Answer:???
Step-by-step explanation:
Solve the following equation. You must show or write down your steps to find the answer -3x - 5 = 16 *
Answer:
x=24
Step-by-step explanation:
You have to isolate the variable so you add 5 to both sides, then add 3 to both sides. Then you have x=24
how much is 17% out of 100%
Answer:
17/100
Step-by-step explanation:
Answer:
the expression 17% means 17 parts out of 100. Therefore, 17% is equivalent to the common fraction and to the decimal fraction 0.17.
Step-by-step explanation: