Answer:
x = -8
m∠BDC = 68°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Definition of a Line: A line is 180°Step-by-step explanation:
Step 1: Set up Equation
m∠BDC + m∠CDA = 180°
(-7x + 12)° + (-8x + 48)° = 180°
Step 2: Solve for x
Combine like terms: -15x + 60 = 180Isolate x term: -15x = 120Isolate x: x = -8Step 3: Find m∠BDC
Define: m∠BDC = (-7x + 12)°Substitute in x: m∠BDC = (-7(-8) + 12)°Multiply: m∠BDC = (56 + 12)°Add: m∠BDC = 68°Convert 6 4/5 into improper fractions.
32/6
32/5
33/5
36/5
Answer: 34/5
Step-by-step explanation:
2) Jarrah needs no less than $159 to purchase a new guitar. He already has $38 in his savings account. He
has a plan to rake and bag leaves in his neighborhood to make more money. He decides to charge $5 a
bag. What is the minimum number of full bags of leaves that Jarrah needs to rake in order to have
enough money to buy the guitar? Show your work/thinking.
Answer: Jarrah has to rake 25 bags.
Step-by-step explanation: Jarrah
Jarrah needs to get $159 dollars, right? Well since he already has $38, we just need to subtract 159 and 38. 159-38 is 121. (121 is how much heneeds )Each bag raked costs $5, and 5 can't go into 121, so it's best to have more than less. Multiply 5 and 25, and you will get $125. That is more than enough, you cannot do 5x24 because it would be 120, which is too low. Therefore, Jarrah needs to rake 25 bags.
HELP FAST WILL GIVE BRAINEST FOR RIGHT ANSWER!!!
Part A: State the Greatest Common Factor of 12x2y5z and 150x6y5z and 66y9z
Show all work you did to determine the GCF.
Part B: Factor completely 4x2 – 20x +100
Part C: Factor completely. 81x2-64
Part D: State the factoring rule for special cases. (a + b)2 = ??
Part E: State the factoring rule for difference of two squares. a2 – b2 = ??
Answer:
Step-by-step explanation:
A) 12x² y⁵z = 2² * 3 * x² * y⁵ * z
150x⁶y⁵z = 5² * 2 * 3 * x⁶ * y⁵ * z
66y⁹z = 2 * 3 * 11 * y⁹ * z
GCF = 2 * 3 * y⁵ * z = 6y⁵z
B) 4x² - 40x + 100 = (2x)² - 2 * 2x * 10 + 10²
= (2x - 10)²
C) 81x² - 64 = (9x)² - 8² {a² - b² = (a + b)(a - b)}
= (9x + 8)(9x - 8)
D) (a + b)² = a²+ 2ab + b²
E) a² - b² = (a + b)(a - b)
Answer:
Simplifying 4x2y + 12xy2 + 9y3 Reorder the terms: 12xy2 + 4x2y + 9y3 Factor out the Greatest Common Factor (GCF), 'y'. y(12xy + 4x2 + 9y2) Factor a trinomial.
Step-by-step explanation:
Subtracting Perfect Squares · (a+b)(a-b)=a2-b · Example · 4x2-9= · Subtracting Perfect Cubes · a3-b3=(a-b)( · Adding Perfect Cubes · x3+27=(x+3)(x2-3x+9).
Which expression is equivalent to 4(7 + 8)?
Answer:
28+32
Step-by-step explanation:
4(7+8)
= (4*7)+(4*8)
= 28+32
Fabian harvests 10 pounds of tomatoes from his garden. He needs 22/5 pounds to make a batch of soup. If he sets aside 2.8 pounds of tomatoes to make spaghetti sauce, how many batches of soup can Fabian make? Drag numbers to write and solve an equation. Numbers may be used once, more than once, or not at all.
Answer: He can make 3 batches of soup.
Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:
10-2.8 = 7.2 pounds left.
0.2 is read as "two tenths," so 7.2 = 7 2/10
We divide this remaining number of pounds by 2 2/5 for each batch of soup:
7 2/10 ÷ 2 2/5
Convert each to an improper fraction:
72/10 ÷ 12/5
Multiply by the reciprocal:
72/10 × 5/12 = 360/120 = 3
Hope this helps... Stay safe and have a great day/night!!! :D
Answer:He can make 3 batches of soup.
Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:
10-2.8 = 7.2 pounds left.
0.2 is read as "two tenths," so 7.2 = 7 2/10
We divide this remaining number of pounds by 2 2/5 for each batch of soup:
7 2/10 ÷ 2 2/5
Convert each to an improper fraction:
72/10 ÷ 12/5
Multiply by the reciprocal:
72/10 × 5/12 = 360/120 = 3
Step-by-step explanation:hope thiss helps
curved surface area of half cylinder
Answer:
curved surface area of half cylinder is
Step-by-step explanation:
πr2h
Answer:
Area of half cylinder is
Step-by-step explanation:
πr2h
Carlton has a job offer for a position as a telemarketer. The job pays $60 per week, plus a
$15 commission for each sale he makes. How many sales would Carlton have to make in
a week in order to earn $240?
Answer:
He would have to make 12 sales a week in order to make $240
Step-by-step explanation:
So every week the job pays him $60
And $15 more every sell he makes So 15x12=180
So if he makes 12 sells in a week he will make $180 dollars.
Plus the 60 the job pays him every week
So 180+60=$240
The cost of shipping of package varies directly with the weight of the package. A 5 pound package costs $3.40 to ship. What would be the price of a package that weighs 12 1/2 pounds?
Answer:
if the package weighs under half a pound it will always round up to .5 pounds.
Step-by-step explanation:
Step-by-step explanation:
12 1/2 will turn into a decimal so 12.50 and divided that by 5 and get your answer.
so it would be .5
The length of the rope was cut from 30 inches to 24 inches. By what percent was the price of the rope reduced?
how do i solve 9 divide by 1.034 in whole number form
Answer:
it would be rounded to 9
Step-by-step explanation:
sense this is the answer 8.704061896 you ought to round then again im not perfect if posable you should try 9 first if its wrong then try 8
Billy ate 5/4 pizzas and John ate 5/3 pizzas. How much more pizza did John eat than Billy?
Answer:
5/12 pizza
Step-by-step explanation:
Cynthia says that the expression
2(3x + 4) is equivalent to the expression
6x + 8. Is Cynthia correct?
Write an equivalent expression for 7 + 5 k minus 2 minus 3 k + n. Which statements are true about the steps for writing the equivalent expression? Check all that apply.
Combine the constant terms by adding 7 and –2.
The equivalent expression is 9 + 3 k.
n, 5 k, and negative 3 k are like variable terms.
Combine the like variable terms by adding the coefficients.
5 k and negative 3 k are like variable terms.
The constants 7 and –2 are like terms.
The equivalent expression is 5 + 2 k + n.
Answer:
Shown Below
Step-by-step explanation:
7+5k-2-3k+n
If you combine like terms, you should get 5+2k+n.
Combine the constant terms by adding 7 and –2.Combine the like variable terms by adding the coefficients.5 k and negative 3 k are like variable terms.The constants 7 and –2 are like terms.The equivalent expression is 5 + 2 k + n.why does math have to be so hard
Answer:
Math seems difficult because it takes time and energy. Many people don't experience sufficient time to "get" math lessons, and they fall behind as the teacher moves on. Many move on to study more complex concepts with a shaky foundation. We often end up with a weak structure that is doomed to collapse at some point.
Math is hard because it is a non-intuitive, non-natural activity. Math don't happen by chance only, it only happens with deliberate, focused work. For this you expend a lot of energy and cause a lot of mental strain, you put yourself on an uncomfortable condition for hours, days, sometimes weeks to solve a problem.
But some people love math, like me, because they study math more than others. If you study more and learn more about math, then you’ll start to feel more comfortable because you’ll be ahead of the class when your teacher teaches you something.
The most important thing is to keep trying and never give up.
Hope this helps! :)
I need help with this please
Answer:
All of the above
Step-by-step explanation:
Each postulate shows congruence in their respective triangles.
can someone help me please!!!
Find the value of x (Round to the nearest tenth)
Pls pls help!!!!
Answer:
28.32
Step-by-step explanation:
using the formula [tex]a^{2} +b^{2} =c^{2}[/tex], you get [tex]21^{2} +19^{2} =c^{2}[/tex].
then you get [tex]441+361=802[/tex]
your answer needs to be the square root of 802.
the square root of 802 is 28.319604517
Which rounded to the nearest tenths is 28.32
The hole for a support needs to be 4 feet deep. It is currently 1 foot and 8 inches deep. How much deeper must the hole be?
Answer:2 feet 4 inches more; 28 inches
Step-by-step explanation:
1 foot = 12 inches
12x4= 48 inches total
1x12+8 = 20 inches complete
48-20=28 inches
Answer:
It is really 18 :)
Step-by-step explanation:
What does the zero on a graph represent
Answer:
the origin
Step-by-step explanation:
Answer:
The origin
Step-by-step explanation:
(0,0) is often called the origin.
Please help!
3 3/4 = r + 1/8
Answer:
r = 29/8 or 3 5/8
Step-by-step explanation:
so you need to make them have the same denominator so you multiply 3/4 by 2/2 to get that
this equals 6/8
add 3 so 24/8
then you subtract 1/8 from both sides
r = 29/8
simplify so 29/8 = 3 5/8
Jackson loves to take day trips during weekends. Last weekend, he drove 80 miles to Crabclaw Beach. He used 4 gallons of gas to get there. This weekend, he will drive 100 miles to get to Mount Highmore. If he uses gas at the same rate, how many gallons of gas will Jackson use to get to Mount Highmore?
Answer:
5 gallons of gas
Step-by-step explanation:
From the above question:
If:
80 miles = 4 gallons of gas
100 miles = x gallons of gas
Cross Multiply
80 × x = 100 × 4
x = 100 × 4/80
x = 5 gallons of gas
Therefore, Jackson would use 5 gallons of gas to get to Mount Highmore.
Answer:
5 gallons of gas
Step-by-step explanation:
A baseball team has won 20 games and lost 10 games. What percent of the games did the team win?
Answer:
They won 2/3 of the games, or about %66 percent.
Step-by-step explanation:
There is a total of 30 games played, becuase 20+10 is 30, and they won 20 out of 30 of the games. or 20/30. You then divide 20/30 and you will get .6666 which is 66%.
Answer:
30 %
Step-by-step explanation:
20×10=30
Or
20+10=40
I don’t get this can anyone help I would be appreciated
Answer: Graph the line using the slope and the y-intercept, or the points. Slope: 1 3 13 y-intercept: ( 0 , 3 ) (0,3) x y − 9 0 0 3
question in picture I WILL GIVE BRIANLIEST!!!!!
Answer:
d the very bottom 6- , 4-
Step-by-step explanation:
bc x im sure is always first then it goes up y is last
Geometry...Please help as soon as possible please and Thank you so much!
Answer:
Step-by-step explanation:
Statement1. ∠KJL ≅∠LMK (A)
Reason1. Given
Statement2. ∠JKL≅∠MLK (A)
Reason2. Given
Statment3. KL≅KL (S)
Reason3. Reflexive propriety
Statemnt 4. ΔJKL≡ΔLMK
Reason 4. AngleAngleSide congruency theorem
Create a word problem where the expression is: 7f + 20
Answer:
A man is selling his old special dishes for 7 dollars each. You have to pay 20 dollars down for the case that holds the dishes no matter how many you buy.
A dog sitter makes 20 dollars just to bring their own leashes and food for dogs that they watch. They also make 7 more dollars per hour that they have to watch the dog.
Step-by-step explanation:
#12, what is this answer ?
Answer:
joan chris martin sara
Step-by-step explanation:
Write 8256 correct to 3 significant figures.
Answer:
8260 line over 6
Step-by-step explanation:
Your grandmother is worried about the heat during the family reunion picnic yesterday between 10 am and noon the temperature rose 6 degrees then between noon and 3pm it rose 4 degrees what was the average rate of increase in temperature between 10am and 3pm
Answer:
Average rate of temperature increase is 2 degrees per hour
Step-by-step explanation:
Here, we want to calculate the average rate of increase in temperature
From what we have above, we can calculate this by dividing the total temperature rise by the number of hours
The total temperature rise is 6 + 4 = 10 degrees
This means that the temperature rose by 10 degrees between 10 am and 3 pm
The number of hours between 10 am and 3 pm is 5 hours
So the average rate of temperature increase is 10 degrees/ 5 hours = 2 degree per hour
PLZ HELP ME PLZ I NEED IT
Answer:
Step-by-step explanation:
we see that when x = 0 the y = 7 so we already kno our y intercept is 7
then we can see that it decreases by 4 each time so our slope is -4x
now we just put that in equation form
y=-4x+7
hope this helps <3