Answer:
111°
Step-by-step explanation:
Using the exterior angle theorem (exterior angle = sum of two interior angles that ARE NOT adjacent to the exterior angle), we can determine that...
x=75+36
x=111
If you're good at math, please help: Find the constants a and b such that the function is continuous on the entire real line.
Answers:
a = -2
b = -1
==========================================
Explanation:
The first piece 5 must match up with the ax+b when x = -2, or else the function wouldn't be continuous at this junction.
Plug in x = -2 and set the result equal to 5
We end up with -2a+b = 5
Solving for b gets us b = 5+2a
--------------
The middle piece ax+b must also equal the third piece -5 when x = 3 to ensure the second junction is continuous.
This leads us to the equation 3a+b = -5
Apply substitution and solve for 'a'
3a+b = -5
3a+5+2a = -5
5a+5 = -5
5a = -5-5
5a = -10
a = -10/5
a = -2 is one of the answers
Then use this to find b
b = 5+2a
b = 5+2(-2)
b = 5-4
b = -1 is the other answer
can yall please help me
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] ÷ 4 = [tex]\frac{1}{3}[/tex] x [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{12}[/tex]
When you have a fraction divide a number, you need to multiple it's reciprocal
Answer: 1/12
Step-by-step explanation:
1/3 x 1/4= 1/12
4/1 is flipped when switching from division ton multiplication
Help me plzzzz
I need to turn this in plz help me
Answer:
75 miles
Step-by-step explanation:
Answer:
75 miles
Step-by-step explanation:
20 miles = 1 gallon of gas
3 3/4 = 15/4
12/4 = 3 = 3 x 20 = 60 miles
3/4 of 20 = 15 miles
60 + 15 = 75 miles
does 1\2 = 2\3 or would it 1\2 ≤ 2\3
Answer:
1/2 < 2/3
Step-by-step explanation:
1/2 = .5 in decimal form while 2/3 is .6 repeating in decimal form
1/2 < 2/3
*Watch image for better understanding
Blue portion is 1/2
Red portion is 2/3
so, obviously red portion is bigger than blue one.
which variable is ordinal?
Answer:
Categorical variable
Step-by-step explanation:
An ordinal variable is a categorical variable for which the possible values are ordered. Please mark me as brainliest.
A basketball team lost 10% of the games they played. They played 30 games in all. How many games did they win?
Answer:
They won 27 games
Step-by-step explanation:
10% of 30 is 3,
so 30-3= 27
Find the height of an equilateral triangle of side 6 cm
Answer:
Answer: The height of the given equilateral triangle is 3√3 cm.
A teacher will pick 1 student at random from 20 for the lead in a play. What is the probability of a student, Jo, of winning?
Answer:
5% chance
Step-by-step explanation:
devide how many students the teacher will choose from the amount of students there is to choose from:
1 / 20 = 0.05
then multiply by 100 to get the amount expressed in percentage:
.05 * 100 = 5%
the result:
Jo has 5% chance of winning.
(10 points) Chip made his eggnog recipe which was 12% sugar, but it was not sweet enough for Dale. Dale made his recipe which was 20% sugar, but it was too sweet for Chip. How much of each eggnog do they need to mix to get 80 oz. of eggnog which has15% sugar concentration?
50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.
EquationAn equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the amount of 12% sugar and y represent the amount of 20% sugar need to produce 80 oz. of 15% sugar. Hence:
x + y = 80 (1)
Also:
0.12x + 0.2y = 0.15(80) (2)
From both equations:
x = 50, y = 30
50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.
Find out more on Equation at: https://brainly.com/question/18831322
How does Kyle split 15 candys bar with 30 people
Answer:
Each person gets 1/2 a candy bar
Step-by-step explanation:
Since 30 people are going to share 15 candy bars. We can split up the candy bars to ensure everyone gets an equal piece. We do so by putting 15/30 as a fraction, which is equivalent to 1/2.
someone please help me!
Answer:
x = 14
Step-by-step explanation:
All angles add up to 180
2x - 5 + 3x - 8 + 10x - 17 = 180
Combine like terms and solve
x = 14
A chocolate chip cookie recipe ask for one and one half times as much flour as chocolate chips. If three and three quarters cups of flour is used what quantity of chocolate chips would then be needed according to the recipe?
hahahahahahahhahahahahah
Give the scale factor from figure A to figure B. Use / for fractions.
Find the odds of an event occurring, given the probability 1/2
Find the value of x.
Answer:
x= 96
Step-by-step explanation:
an triangles angles always add up to 180 so 44+40 equals 84 and 180-84= 96.
IMAGE ATTACHED 50points
Answer: 2 kg
Step-by-step explanation:
The modal, or the mode, is the number that occurs most. 2 shows up three times, so 2 is the modal weight.
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Have a good day! I hope this was helpful.
Consider the equation y = 3x - 1
Identify the slope and y-intercept and
sketch the graph.
100kg of potatoes are given to 100 people. Each adult gets 3kg, each teenager gets 2kg and each small child gets 0.5kg. How many adults and teenagers and small children were there?
Answer:
there are 18 Adults 18 Teenagers and 20 small children
PLS HELP!!!! I don't understand how to answer this question!!!
Answer:
34
Step-by-step explanation:
Angle A and B are complementary which means they both add up to 90 degrees. Angle A is x+22 while angle B is only x. If we add both together, we can call angle A+B to be 2x+22. We can rewrite this as 2x+22=90. Take the 22 over to the other side and its sign changes so it is now 2x=90-22. 90-22=68 so now we have 2x=68. To isolate the x divide both sides by 2 which gives us x=34.
Christopher has a collection of 20 video games and will buy 4 more each month. Peter has a collection of 92 video games and will sell 5 each month. After how many months will they have the same number of video games? How many will that be?
Answer:
20 + 4 = m 92 - 5 = m
Step-by-step explanation:
due the the fact that theres no number for how meny months there are
-4.56 × 10-3 in standard form.
Answer:
-48.6
Step-by-step explanation:
factorise 18x-6
will give brainly to whoever answers first
Answer:
6(3x-1)
Step-by-step explanation:
They both have a common factor of 6
So divide 6 and take it out to give:
6(3x-1)
There is something that, although it belongs to you, people always use it more than you. What is it?
Answer:
Your name is the answer to the riddle.
The ratio of students who made
the honor roll to the total number
of students is 1:50) If there are
500 students in total, how many
made the honor roll?
Answer:
10
Step-by-step explanation:
1 out of 50 got it, so 500/50=10
Answer:
10 students
Step-by-step explanation:
if the ratio is 1:50 and there are 500 kids then you multiply the 50 by 10 to make it 500 then you also multiply the 1 by to so only 10 kids made honor roll
Solve each simple interest word problem 11) A new car volued at $28.000, depreciates of 9% per year. What is the value of the car one year after purchase?
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &28000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=\textit{elapsed time}\dotfill &1 \end{cases} \\\\\\ A=28000(1-0.09)^1\implies A=28000(0.91)\implies A=25480[/tex]
Answer:
$25,480
Step-by-step explanation:
In one year, the car depreciates by 9% of its original value:
0.09 × $28,000 = $2520 . . . . amount of depreciation
The value at the end of one year is ...
$28,000 -2,520 = $25,480
The value one year after purchase is $25,480.
PLEASE HELP ASAP
How much did the borrower pay for county taxes?
O A. $500.00
O B. $605.36
O C. $1,000.00
O D. $1,210.72
Taxes are rates or amount deducted from individuals.
The borrower paid $605.36 for county taxes
How to determine the amount paidFrom the table, we have the following entry:
County taxes (half year) (6) $605.36
The above represents the amount paid for county taxes
Hence, the borrower paid $605.36 for county taxes
Read more about tax at:
https://brainly.com/question/9437038
Answer:
$605.36
$605.36
$605.36
$605.36
$605.36
$605.36
3.1721 x 10⁻⁷
Write this in standard notion
h + 169 = 759 solve for h
Answer:
h = 590
Step-by-step explanation:
To find x, rearrange the equation to where h is on its own side.
Rearranged equation:
[tex]759 - 169 = h[/tex]
Since 169 added to h was to find 769, 169 subtracted from 759 represents h.
Solve:
[tex]759 - 169 = 590[/tex]
590 = h.
Juanita has $25, and she makes $11 per hour. She needs at least $58 to buy new shoes. Write and solve an inequality to determine how many hours Juanita must work to be able to buy new shoes. Then interpret the solution.
Answer:
Juanita must work 3 hours and above to be able to buy new shoes.
Step-by-step explanation:
Initially, Juanita has $25 and make $11 per hour
meaning, Juanita's new cash in hand after t hours is;
[tex]\tt C=25+11t[/tex]
Juanita needs at least $58 to buy new shoes;
meaning, the minimum cash Juanita should have should be $58 and above.
Simply put,
[tex]\tt C\geq 58[/tex]
[tex]---> \tt 25+11t\geq 58[/tex]
[tex]\tt --->11t\geq 58-25[/tex]
[tex]---> \tt 11t\geq 33[/tex]
[tex]----> \tt t\geq \frac{33}{11}[/tex]
[tex]---> \tt t>3[/tex]
The solution reveals that Juanita must work 3 hours and above to be able to buy new shoes.
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Brainliest if correct
Answer:
W is 9
Step-by-step explanation:
18+4w=6w
-4w-4w
18=2w
/2 /2
w=9
Answer:
w = 9
Step-by-step explanation:
18+4w=6w
Rearrange terms
4w + 18 = 6w
Subtract 18 from both sides of the equation
4w+18-18=6w-18
Simplify
4w = 6w-18
Subtract 6w from both sides of the equation
4w-6w=6w-18-6w
Simplify
-2w=-18
Divide both sides of the equation by the same term
-2w/-2=-18/-2
w = 9
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