Answer:
The measure of ABC is 72
Step-by-step explanation:
if the angle ABC is bisected, it means that the two angles ABD and DBC are equal;
Thus;
12x + 24 = 20x + 16
20x -12x = 24-16
8x = 8
x = 1
The measure of angle ABC is the sum of the two angles
ABC = 12x + 24 + 20x + 16
ABC = 32x + 40
Substitute x = 1
ABC = 32(1) + 40
ABC = 72 degrees
Here are several recipes for sparkling lemonade. For each recipe
describe how many tablespoons of lemonade mix it takes per cup
of sparkling water,
Recipe 1: 4 tablespoons lemonade mix and 12 cups of sparkling
water
Recipe 2: 4 tablespoons of lemonade mix and 6 cups of sparkling
water
Recipe 3: 3 tablespoons of lemonade mix and 5 cups of sparkling
water
Recipe 4: 1 tablespoon os lemonade mix and 3 cups of sparkling
water
Answer:
Recipe 1: 1/2tbs of lemonade mix per cup of sparkling water
Recipe 2: 2/3tbs per cup
Recipe 3: 3/5tbs per cup
Recipe 4: 1/3tbs per cup
Step-by-step explanation:
To find the amount of lemonade mix per cup of sparkling water, we just need to divide the amount of lemonade mix in each recipe by its respective amount of sparkling water as this will give us the average amount per cup.
Recipe 1: 4 tbs lemonade mix, 12c sparkling water.
4/12 = 1/3, Recipe 1 requires 1/3 tablespoon per cup of sparkling water.
Recipe 2: 4tbs Lemonade, 6c water
4/6 = 2/3, Recipe 2 requires 2/3 tablespoon per cup of sparkling water.
Recipe 3: 3 tbs lemon, 5c water
Recipe 3 requires 3/5 tablespoon per cup of sparkling water.
Recipe 4: 1 tbs, 3c water
Recipe 4 requires 1/3 tablespoon per cup of sparkling water.
Hope this helped!
Simplify:
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
The absolute value function always gives a positive result, that is
| - a | = | a | = a
Given
[tex]\frac{|-12-3|}{4}[/tex] - [tex]\frac{|23-42|}{8}[/tex]
= [tex]\frac{|-15|}{4}[/tex] - [tex]\frac{|-19|}{8}[/tex]
= [tex]\frac{15}{4}[/tex] - [tex]\frac{19}{8}[/tex]
= [tex]\frac{15(2)}{4(2)}[/tex] - [tex]\frac{19}{8}[/tex]
= [tex]\frac{30}{8}[/tex] - [tex]\frac{19}{8}[/tex]
= [tex]\frac{30-19}{8}[/tex]
= [tex]\frac{11}{8}[/tex] → C
The simplification of the given equation is 11/8. thus option /c is correct.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output. An equation is an expression that shows the relationship between two or more numbers and variables.
The absolute value function always gives a positive result, which is;
| - a | = | a | = a
Given that | 12 - 3 |/4 - | 23 -42 | /8
| 12 - 3 |/4 - | 23 -42 | /8
| 15 |/4 - | -19 | /8
= 15/4 - 19/8
= 30/8 - 19/8
= 11/8
Therefore, the simplification of the given equation is 11/8. thus option /c is correct.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
j + 150 × 50 is a(n) ______ expression, because ______.
Please help I’m not sure if I’m right
Answer:
C
Step-by-step explanation:
75.54*550=41,497.5
Write one-page given the following scenario, determine if the salesman’s conjecture is logical? Why or why not? Is it true? Why or why not? Provide a counterexample that would disprove his hypothesis:
A car salesman sold 5 used cars to five different couples. He noticed that each couple was under 30 years old. The following day, he sold a new, luxury car to a couple in their 60’s. The salesman determined that only younger couples by used cars.
Answer:
His conjecture is not logical.
Step-by-step explanation:
If he sold a car to a couple above 30, how did he think only younger people bought cars? He is not logical.
You practice playing your guitar every day. You spend 15 minutes practicing chords and the rest of the time practicing a new song. So the total number of minutes y you practice for the week is given by y=7(15+x), where x is the number of minutes you spend on practicing a new song. Solve the equation for x.
Answer:
x=(y-105)/7Step-by-step explanation:
Given that the total time taken to practice is given by the expression as
y=7(15+x)
Simplifying the expression we have
y=105+7x
Solving for x (that is making x subject of formula we have)
7x=y-105
Divide both sides by 7 we have
x=(y-105)/7
Therefore the expression is
x=(y-105)/7
what is
t ÷ -5 = -7 help
Answer:
4 +5 _7
Step-by-step explanation:
Could you help me with these?
Step-by-step explanation:
Molly should have multiplied three first so that it would have been
x + 6 + 3x + 12
4x + 18
Dylan did not add x to 5x
it should have been
6x - 12
Jose did not multiply 7 and -5
it should have been
x + 3 + 7x - 35
8x - 32
square root of 9 on a graph
Answer:
I think the answer is 3
Last Friday Willie had $27. Over the
weekend he received some money for
babysitting. He now has $43. How much
money did he receive?
Answer:
$16
Step-by-step explanation:
He received that much money because all you have to do is just subtract
43-27. Then thats how I got my answer.
Hope this helps and have a great day!
Answer:
Willie received $16 dollars during the weekend
Step-by-step explanation:
$43 (how much money he has now) - $27 (how much he had last Friday) = $16 (how much he received while babysitting during the weekend)
Write an equation of the line passing through point P(4,−6) that is perpendicular to the line y=−3.
x=
Answer:
ummm im sorry i will answer in the comments
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
if you plot y= -3 and the point (4,-6) you will see that the only answer can be x=4
6+7×4+34=56 are they equal
No its not, the equation your showing right now adds up to 68
Answer:
No
Step-by-step explanation:
6+7×4+34=56
Step 1 - (PEMDAS)
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Simplify Using PEMDAS :
7 • 4 = 28
6 + 28 + 34 = 56
68 = 56 NOT EQUAL
A mug contains 20 fluid ounces of coffee.
How many pints of coffee does the mug contain?
Enter your answer as a decimal in the box.
Answer:
1.25 pints
Step-by-step explanation:
gallon king!!!
1 gallon king has 4 queens (4 quarts)
1 queen (quart) has a 2 princes (pints)
1 prince has 2 cats (cups)
one cup has 8 oz
put it all together:
2 and 1/2 cups
2 cups = 1 pint
1 pint and 1/2 cup
1/2 cup is 1/4 of a pint
sooo... it's 1.25 pints!
please help asap!!! will give brainliest answer
Answer:
Angle AOB and angle DOC are identical because they share 2 parallels considering it is a bisection
Step-by-step explanation:
Write a linear function in slope intercept form given the slope of the equation is -4 and the y intercept is 6.
Answer:
6=-4x+b
Step-by-step explanation:
You plug in the numbers but the formula that you use is y=mx+b with x being the number you don't know
(1) The point R is halfway between the -6 and -5 on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Answer:
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
Step-by-step explanation:
Solve the following equation algebraically. Show your work.
17 = -13 – 82
Will mark brainliest
Steve invested money in the stock market. In the first year, his stock increased 50%. He paid his stockbroker $350 and then lost $400. He withdrew $300, and then his remaining investment doubled. Steve's investment is now worth $8100. How much was Steve's original investment?
Answer:
Original amount invested = $3400 .
Step-by-step explanation:
Let the original investment of Steve = $x
Stock increased in the first year = 50% of amount invested
Therefore total amount after one year = x + 0.5x = 1.5x
Commission paid to the stock broker = $350
Amount lost by him = $400
Amount withdrawn by him = $300
Total amount decreased from the amount after 1 year
= 1.5x - (350 + 400 + 300)
= 1.5x - 1050
This remaining amount is doubled, so the final amount
= 2(1.5x - 1050)
= 3x - 2100
This final amount is equal to $8100
3x - 2100 = 8100
3x = 8100 + 2100
3x = 10200
x = $3400
Therefore original amount invested in the stock market was $3400 .
a taxicab company charges $4.25 plus $.85 per mile. Mary Paid a fare of $12.50. Write and solve an equation to find the number of miles she traveled and describe the solution.
Pls help me!
ASAP!
Find the value of x and m
Answer:
x=5 m=3
Step-by-step explanation:
Logan used 12 centimeters of tape to wrap 4 presents. How much tape will Logan need in all if he had wrap 8 presents? Assume the relationship is directly proportional.
Answer:
24 centimeters
Step-by-step explanation:
I need help ASAP!!!!
Answer:
C
Step-by-step explanation:
P(x)=R(x)-C(x)
=-0.6x³+900x²-400x+700-(400x²+300x)
=-0.6x³+500x²-700x+700
Y=8 when x=20 find y when x= 30
Answer:
y=13
Step-by-step explanation:
if x=20 when y=8 (we can creat equation )
x=2y+4 (you can prove that the equation is correct by substitute )
so the question is if x=30 find the value of y
30=2y+4
30‒4=2y
26=2y
26/2=2y/2
13=y
i hope this helps you
A catering business specializes in catering wedding receptions. They charge $400 for setting up the buffet and an additional $7.50 per guest. Mr. and Mrs. Smith want to spend no more than $1600 on the catering. Write and solve an inequality to determine the number of guests that can be invited to the reception.
Answer:
x<=160Step-by-step explanation:
Step one:
given data
Charges= $400
Additional charges= $7.5 per guest
let the number of guests be x
let the total cost be y
the model for the situation is given as
y=mx+C
Step two:
given that y=1600
we can solve for x as
1600=7.5x+400
1600-400=7.5x
1200=7.5x
divide both sides by 7.5 we have
x=1200/7.5
x=160
Therefore the expected guest should not be more than 160
x<=160
1. Write the equation of a line parallel to y = -2x + 10 that passes through point (2, 4).
Answer:
y - 4= -2(x - 2)
Step-by-step explanation:
(This answer is in point slope form, if you need the answer in a different form like slope intercept, you would have to distribute the negative 2 and bring the negative 4 to the right side.)
So, you know the line is parallel to the equation y= -2x + 10. We know that parallel lines must have the same slope, so the answer will have a slope of negative 2. Because they have given you a point that the line passes through, we are going to put the answer in point slope form. we know a point and we know the slope, hence it is called point-slope.
Point slope form is y - y₁ = m(x - x₁). The m stands for the slope, and the x₁ and y₁ is where you will plug in the x and y coordinates (2,4) .
So to plug in the numbers into point slope form it would be y - 4 = -2 (x - 2). hope this helped :)
Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3
Answer:
The mass of the steel ball is 4,235.9 gr
Step-by-step explanation:
Density
The density ρ of a substance is a measure of its mass per unit volume:
[tex]\displaystyle \rho=\frac{m}{V}[/tex]
If the density and the volume are given, the mass can be calculated by solving the above formula for m:
[tex]m=\rho.V[/tex]
We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.
We need to calculate the volume of the sphere:
The volume of a sphere of radius r is given by:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]
The radius is half the diameter: r= 10/2 = 5 cm. Thus:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3[/tex]
Calculating:
[tex]V=523.6\ cm^3[/tex]
The mass is:
[tex]m=8.09 gr/cm^3 \cdot 523.6\ cm^3[/tex]
m=4,235.9 gr
The mass of the steel ball is 4,235.9 gr
PLEASE PLEASE HELP!!!
Answer:
A. ??
Step-by-step explanation:
have a nice day and hope it helps
Tap the angle that is vertical to angle 4
Answer:
angle four is vertical to angle 2
Answer:
angle 2 is vertical to angle 4
This equation shows how the total number of souvenirs Mark buys is related to the number of days he spends on vacation. s = d The variable d represents the number of days he spends on vacation, and the variable s represents the total number of souvenirs he buys. How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?
Answer:
12 days
Step-by-step explanation:
Given:
s = d
Where,
d = number of days he spends on vacation
s = total number of souvenirs he buys
How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?
s = 12
Since,
s = d
Then,
12 = d
Therefore, Mark will have to spend a total of 12 days on vacation before he will have bought a total of 12 souvenirs
A graph has years since group formed on the x-axis, and number of members on the y-axis. A line goes through points (2, 38) and (5, 80).
The membership of a student group is expressed by the equation y = 14x + 10, where x represents the number of years since the group was formed and y represents the number of members.
How many years will it take for the group to have 290 members?
If the group was formed in the year 2000, in what year would you expect the group to have 290 members?
Answer:
20 and 2020
Step-by-step explanation:
i got it right on edge
Answer:
The first answer is 20 and the second answer is 2020
Step-by-step explanation:
I just answered it on edge