You have a (12x+8) and 55* degree and (8x-3) in a equal triangle right like this /\ and have to solve for x
please help
Answer:
12x + 8 = 12 x 6 + 8 = 80
8x-3 = 8 x 6 - 3 = 44
Step-by-step explanation:
(12x+8) + 55 + (8x-3) = 180 (Angle Sum Property)
(8+55-3) + (12x + 8x) = 180( group the variables)
(60) + (20x) = 180
20x = 180 - 60
20x = 120
x = 120/20 = 6
x=6
Question 1 (Essay Worth 10 points)
(02.01;02.02 MC)
The ratio of the number of cups of red paint to the number of cups of yellow paint that Garcia mixed to make a shade of orange paint is 4:1.
Part A: Write a sentence to describe the number of cups of red paint that Garcia mixed with each cup of yellow paint. (4 points)
Part B: How many cups of yellow paint should Garcia add to each cup of red paint to make the shade of orange? Explain your reasoning. (4 points)
Part C: If Garcia purchased 6 cups of red paint for $42, what is the unit price per cup of red paint? (2 points)
Part A: Garcia mixed 4 cups of red with 1 cup of yellow.
Part B: 1/4 because 4 cups of red requires 1 cup of yellow, so 1 divided by 4 is 1/4.
Part C: $7
Hope this helps! :)
The unit price for a cup of red paint is equal to $7
What is the unit rate?Unit rate is the ratio of two different units, with denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc. Arithmetic is probably the most basic and ancient branch of mathematics and is quite commonly used in our day-to-day life.
Given here: The ratio of the number of cups of red paint to the number of cups of yellow paint that Garcia mixed to make a shade of orange paint is 4:1
For every yellow cup of paint Garcia mixed 4 cups of red paint to the mixture.
Now the ratio given here is 4:1
Thus for every 1 cup of yellow paint garcia mixes 4 cups of red paint
or for 1 cup of red paint garcia mixes 1/4 cup of yellow paint to the mixture.
Because 1:4=1:1/4
Now in a shade of orange paints there are 4 cups of red paint and 1 cups of yellow paint thus total cups of paint=5
Now 6 cups of red paint cost $42
Thus 1 cup of red paint is equal to 42/6=$7
Thus cost of each red paint is equal to $7
Hence, The unit price for a cup of red paint is equal to $7
Learn more about the unit rate here:
https://brainly.com/question/29781084
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A person takes part in a medical trial that tests the effect of a medicine on a disease. Half the people are given medicine and the other half are given a sugar pill, which has no effect on the disease. The medicine has a 60% chance of curing someone. But, people who do not get the medicine still have a 10% chance of getting well. There are 85 people in the trial and they all have the disease. Talwar takes part in the trial, but we do not know whether he got the medicine or the sugar pill. Draw a tree diagram of all the possible cases. What is the probability that Talwar gets cured?
Answer:
Talwar has 35% chance of getting cured
In the past year Diane watched 22 movies that she thought were very good. She watched 40 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answer:
55%
Step-by-step explanation:
For percentages, you need to divide the part by the whole, then multiply by 100.
In this case, [tex]\frac{22}{40}[/tex] = 0.55.
Then multiply by 100 to get a percentage: 0.55 x 100 = 55%
Answer:
55%
Step-by-step explanation:
Total number of movies= 40
Number of movies rated very good= 22
Percentage of movies rated very good= 22/40*100%
= 55%
(Geometry Question) : Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:3.
answer this question pls <3
Answer:
answer is D hope this helps you good luck
It would be 106, D :D
Answer ASAP for Brainliest!
Hope it helps you stay safe<3
HELP ME DO THIS QUESTION PLEASE
Answer:
Volume: 864
Surface Area: 684
Step-by-step explanation:
Volume:
[tex]\frac{1}{2}(9 * 16 * 12) = 864[/tex]
Surface-Area: (Pretty Self-explanatory)
1. Triangles - 12 * 9 = 108 (You don't need to divide it by two, just leave it as is because there are two of these triangles.)
2. Base - 16 * 9 = 144
3. Height/Base - 12 * 16 = 192
4. 15 * 16 = 240
192 + 144 + 108 + 240 = 444
The Surface Area is 684.
If a Car can drive 35 miles on 7 gallons of gas, how many miles can it travel on 2 gallons of gas (assuming miles per gallon is proportional)? Give and explain your answer.
Answer:
10 miles
Step-by-step explanation:
35/7 is 5 so therefore if you do 5+5+5+5+5+5+5 is 35
so that means 2 gallons which is 10
1. Discover the volume and surface area of a cylinder with a radius of 3 inches and a height of 9 inches ?
Answer:
V ≈ 254.47 cubic inches
SA ≈ 226.19 square inches
Step-by-step explanation:
Where is point C on the number line?
Answer:
-0.3
Step-by-step explanation:
Answer:
-0,3
Step-by-step explanation:
When r+s=13 and 2t+s=13 , what is the value of t?
Answer:
t = 5
Step-by-step explanation:
by using guess and check, we can plug in the numbers 5 into t, 3 into s, and 10 into r.
if t = 5, then r must mean twice that number meaning it is 10.
the remainder would be s which means it is 3.
r+s=13 into 10 + 3 = 13
2t+s=13 into 2(5) + 3 = 13
∠DGC and ∠CGB are _ angles.
Answer: Adjacent
Step-by-step explanation:
Complementary means angles summing upto 90°
Vertical means opposite angles
Supplementary means angles summing upto 180°
So, the resonable answer will be adjacent since both the angles are beside each other.
Answer:complimentsry
Step-by-step explanation:
Find m∠EGD. Please help
Answer:
30
Step-by-step explanation:
being vertically opposite angle
100 students are interviewed to see which of biology, chemistry or physics they prefer.57 of the students are girls. 34 of the girls like biology best.27 of the boys prefer physics.20 out of the 28 who prefer chemistry are girls.What percentage of the students prefer biology?
Answer:
42%
Step-by-step explanation:
I think it's 42% because out of the 57 girls 34 prefer biology,20 prefer chemistry then it means the remaining 3 prefer physics. There's 43 boys, 8 prefer chemistry,27 prefer physics which leaves us with 8 boys who maybe prefer biology. Therefore:
(34+8)÷100×100 = 42%
Find m∠EGF. please help!
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provided - ∠AGB = 30° , ∠ DGC = 50° and ∠ EGF = 2x. We're asked to find out m ∠ EGF.Note that ∠ AGB , ∠ BGC and ∠ DGC form a straight line which means that their sum is equal to 180°.When two lines intersect , the angles formed opposite to each other are called verticall opposite angles. Vertically opposite angle are always equal to each other.[tex] \large{ \tt{❈ \: SOLUTION}} : [/tex]
Re-read the second point which I have mentioned above. Now , Set up an equation and solve for ∠ BGC .[tex] \large{ \tt{{ ♡ \: \angle \: AGB + \angle \: BGC \: + \angle \: DGC = 180 \degree}}}[/tex] [ Sum of angle in a straight line ]
[tex] \large{ \tt{⟶ \: 30 \degree + m \angle \:BGC \: + \: 50 \degree = 180 \degree}}[/tex]
[tex] \large{ \tt{⟶ \: m \angle \: BGC + 80 \degree = 180 \degree}}[/tex]
[tex] \large{ \tt{⟶ \: m \angle \:BGC= 180 \degree - 80 \degree}}[/tex]
[tex] \large {\tt{⟶ \: m \angle \: BGC = 100 \degree}}[/tex]
Hence , m ∠ BGC = 100°. Now , Re-read the third point which I have mentioned above and set up an equation and solve for x.[tex] \large{ \tt{❊ \: 2x = 100 \degree}}[/tex] [ being vertically opposite angles ]
[tex] \large{ \tt{⇢\frac{2x}{2} = \frac{100 \degree}{2} }}[/tex]
[tex] \large{ \tt{⇢ \: x = 50 \degree}}[/tex]
The value of x is 50°. Now :[tex] \large{ \tt{❁ \: REPLACING \: VALUE : }}[/tex]
[tex] \large{ \tt{ ➝ \: \angle \: EGF = 2x \degree = 2 \times 50 = \boxed{ \tt{100 \degree}}}}[/tex]
[tex] \boxed{ \boxed{ \large{ \tt{☄ \: OUR \: FINAL \: ANSWER : \boxed{ \underline{100 \degree}}}}}}[/tex]
Hence , Our final answer is 100° . And we're done![tex] \large{ \mathfrak{\# \: StayInAndExplore !\:☂ }}[/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
100°
Step-by-step explanation:
Since ∠AD are 180°, and each side is the same,
180°-30°-50°=100°
Help plzzzz I don't know what to do
Answer:
it should be 10,000 square meters
Step-by-step explanation:
my mind
Ollie baked cookies for his math class' end-of-year party. There are 24 people in the class. If Ollie baked enough cookies for everyone to get 2 cookies each, how many cookies did he bake?
Which is NOT a true statement?
Answer:
option 4
Step-by-step explanation:
|a| represents Absolute value, it is the distance from zero that a number is on the number line. And we know distance cannot be negative.
So,
[tex]|a| = a[/tex]
[tex]|-a| = a\\\\| \frac{-a}{b}| = \frac{a}{b}\\\\|\frac{a}{-b}| = \frac{a}{b}[/tex]
The first rule is subtract 6 starting from 48. The second rule is subtract 3 starting from 30. What is the second ordered pair using the terms in each sequence? (42, 27) (36, 24) (48, 30) (30, 21)
Answer:
(42,48)?
Step-by-step explanation:
Answer:
(42, 27)
Step-by-step explanation:
The first rule is to do [tex]48-6[/tex], so this would be the x- axis.
The second rule is to do [tex]30-3[/tex], so this would be the y-axis.
The first ordered pair would be (48, 30), then the second ordered pair would be (42, 27).
Questions on file. Thx.
Pls number questions to answer
DOES ANYONE KNOW WHAT TO DO HELP QUICKKKKK
Answer:
First Question = 16 Second Question = 8
Step-by-step explanation:
First one
32+48=x(2+3)
80=5x
Divide each sides with 5 and you have x=16
Second one
32+48=4(x+12)
80=4x+48
subtract 48 from 48 and 80 and you have 32=4x.
Divide it with 4 both side and you have x=8
Dividing Mixed Numbers?
Answer:
80/7 simplified its 11 3/7
Step-by-step explanation:
lmk if you need an explanation! :]
60/9 ÷ 12/7
67 ÷ 21/ 63
= 0.0506
OR
11 3/7
Find the missing dimensions
Answer:
short base: 6 yards
long base: 8 yards
Step-by-step explanation:
Our understanding of your figure is shown below.
The question says the "shortest side" and the "width" have the same dimension. If the "width" is a reference to "height 6 yards", then it seems the "shortest side" is 6 yards. Since the slant sides are longer than the height, the "shortest side" is also the "short base."
The short base is 6 yards.
__
The long base overhangs the short base by 1 yard on either end, so it is a total of 2 yards longer than the short base. It it 6+2 = 8 yards long.
The long base is 8 yards.
Hope this is correct, if not then feel free to let me know. I'm sorry in advance if it is incorrect.
At 7 pm, a burning candle is 16 inches tall. At 9:30 pm, the candle is only 3.5 inches tall. What is the UNIT RATE of the number of inches burned from the candle per hour?
Answer:
Step-by-step explanation:
32
Find the quotient: −72 ÷ −4
Answer:
18
Step-by-step explanation:
[tex]\frac{-72}{-4} = 18[/tex]
Answer:
[tex]18[/tex]
Step-by-step explanation:
We know that
[tex]( - ) \div ( - ) = ( + )[/tex]
So,
[tex]( - 72) \div ( - 4) = 18[/tex]
hope this helps you.
A 64‐acre coconut farm is arranged in an 8‐by‐8 array. Mika wants to know the average number of coconut palms on each acre. Each cell in the table represents an acre of land. The number in each cell tells how many coconut palms grow on that particular acre.
45 54 40 34 44 66 32 65 66 33 42 36 33 51 50 35 51 45 66 33 47 43 66 61 46 35 48 67 60 59 52 67 46 32 64 35 55 47 61 59 45 48 53 62 55 58 51 41 48 38 47 48 43 34 64 54 53 67 44 59 58 48 62 45
The numbers in green represent Mika's random sample of 10 acres. What is the average number of coconut palms on the randomly selected acres? Round your answer to the nearest tenth. The average number of coconut palms is
A. 44.3
B. 44.30
Answer:
A. 44.3
Step-by-step explanation:
When rounding to a tenth the second decimal place is removed.
answer pls best gets brainiest
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The first rule is add 9, then divide by 2 starting from 1. The second rule is multiply by 2, then subtract 4 starting from 8. What are the first four ordered pairs using the two sequences?
(1, 8), (5, 12), (7, 20), (8, 36)
(1, 10), (5, 16), (7, 28), (8, 52)
(0, 8), (5, 12), (7, 20), (8, 36)
(2, 8), (6, 12), (8, 20), (9, 36)
Together, Matthew and Daniel have 67 DVDs. Matthew’s collection has 3 times as many DVDs as Daniel’s collection. Which equation can be used to determine the number of DVDs in Daniel’s collection?
A. 3x - x = 67
B. x + x = 67
C. 3x + x = 67
D. 3x = 67
Answer:
C. 3x + x = 67
Step-by-step explanation:
Means Mathew has 3 units and Daniel has 1 unit.
There's 4 units in total.
4x = 67
3x + x = 67
3x is Mathew's DVDs
x is Daniel's DVDs