Answer:
85º
Step-by-step explanation:
<7=<4 since we know the lines are parallel, and intersected at the same angle
Therefore, <7=85º.
5/6 divided by 1 and 1/2?
Answer:
5/9
Step-by-step explanation:
(5/6)/1 1/2
5/9
Merry Christmas
An automatics air freshener releases droplets into the air to improve the smell of a living room. At 30 minutes, the canister had 600 drops remaining and after 130 minutes the canister only had 575 drops remaining.
Find the slope you would use in a linear model of drops per minute. 3 points
Construct an equation that models the drops over this time period.
Answer:
The equation is;
y = -1/4x + 607.5
Step-by-step explanation:
Let us have the number of drops as y axis while the number of minutes is x axis
The points to use are;
(30,600) and (130,575)
The slope can be calculated using;
m = (y2-y1)/(x2-x1)
= (575-600)/(130-30) = -25/100 = -1/4
So the equation as we model using the normal equation of a straight line (y = mx + c, m is slope and c is the intercept)
y = -1/4x + c
To get c, we simply substitute one point
Let us use (30,600)
We have
600 = -1/4(30) + c
600 + 7.5 = c
c = 607.5
So the equation is ;
y = -1/4x + 607.5
GEOMETRY PLEASE HELP
If the triangles below are congruent, find x and y.
Answer:
x=2, y=1
Step-by-step explanation:
since they are both congruent, the corresponding sides are also congruent
Thus:
2x+1=x+3
x+y=3x-3y
First, solve 2x+1=x+3
[tex]2x+1=x+3[/tex]
Subtract both sides by x
[tex]2x-x+1=x-x+3\\[/tex]
[tex]x+1=x+3[/tex]
Subtract both sides by 1
[tex]x+1-1=x+3-1[/tex]
[tex]x=2[/tex]
Thus x=2
Next, solve for x+y=3x-3y
[tex]x+y=3x-3y[/tex]
Substitute x with 2 (from the first part)
[tex]2+y=3(2)-3y[/tex]
[tex]2+y-y=6-3y-y[/tex]
[tex]2=6-4y[/tex]
[tex]2-6=6-4y-6[/tex]
[tex]\frac{-4=-4y}{-4}[/tex]
[tex]y=1[/tex]
Thus y=1
Pleaseeeee helpppplsksxmkdks
Answer:
b
Step-by-step explanation:
Answer:
reflection!!
Step-by-step explanation:
Use the original price and the markdown to find the retail price. Original price: $80; Markdown: 18%
Answer:
$27
Step-by-step explanation:
An automobile manufacturer claims that its car has a 37.9 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 140 cars, they found a mean MPG of 38.2. Assume the standard deviation is known to be 1.2. A level of significance of 0.01 will be used. Find the value of the test statistic. Round your answer to 2 decimal places
Answer:
2.958
Step-by-step explanation:
Sample mean (x) = 38.2 MPG
Population mean (μ) = 37.9 MPG
Sample size (n) = 140
Standard deviation (σ) = 1.2
The test statistic (Tstat) can be obtained thus :
(x - μ) / σ/sqrt(n)
Tstat = (38.2 - 37.9) / 1.2/sqrt(140)
Tstat = 0.3 / 0.1014185
Tstat = 2.9580401
Test statistic = 2.958
Ram gained 25 percent by selling a second hand motorcycle for Rs. 45000. At
price did Ram buy that motorcycle?
Answer:
Ram bought that motorcycle for Rs. 36000
Step-by-step explanation:
Given that:
Amount gained = 25%
Selling price of motorcycle = Rs. 45000
As 100% will be the original price, then 25% will be added into it.
125% will be the new percentage.
Let,
x be the original price of motorcycle.
125% of x = 45000
[tex]\frac{125}{100}x=45000[/tex]
1.25x=45000
Dividing both sides by 1.25
[tex]\frac{1.25x}{1.25}=\frac{45000}{1.25}\\[/tex]
x=36000
Hence,
Ram bought that motorcycle for Rs. 36000
What is the value of (2/3) -(5/6) ÷ ¾ =
Answer:
-4/9 or -0.4
Step-by-step explanation:
-7+(63/9) Evaluate the Following Expression
Answer:
0
Step-by-step explanation:
[tex]-7+(\frac{63}{9})=-7+7=0[/tex]
Estimate the quotient. Round your answer to the nearest whole number.
39.8 ÷ 4 ≈ ??
Answer:
10
Step-by-step explanation:
39.8/4=9.95, rounds to 10
11/12-1/3 what is this answer using fractions
Answer:
7/12
Step-by-step explanation:
Step 1: So we multiply 11 by 3, and get 33.
Then we multiply 1 by 12, and get 12.
Next we give both terms new denominators -- 12 × 3 = 36.
So now our fractions look like this:
33/36 - 12/36
Step 2: Since our denominators match, we can subtract the numerators.
33 − 12 = 2
So the answer is:
21/36
Step 3: Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
21/36 ÷ 3 =7/12
so your answer should be 7/12
The fractional expression 11/12 – 1/3 is simplified, as 7 / 12.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
The expression is given below.
⇒ 11/12 – 1/3
On simplifying the expression, we have
⇒ 11/12 – 1/3
⇒ 11/12 – 4/12
⇒ (11 – 4) / 12
⇒ 7 / 12
More about the fraction number link is given below.
https://brainly.com/question/78672
#SPJ2
(CO 4) Supplier claims that they are 95% confident that their products will be in the interval of 20.45 to 21.05. You take samples and find that the 95% confidence interval of what they are sending is 20.48 to 21.02. What conclusion can be made
Answer:
The supplier is less accurate than they have claimed
Step-by-step explanation:
Given that:
95% confidence interval of supplier's claim :
(20.45, 21.05)
Mean = (20.45 + 21.05) /2 = 41.5 / 2 = 20.75
Error margin = (upper bound - mean) = 21.05 - 20.75 = 0.30
95% confidence interval of your sample :
(20.48, 21.02)
Mean : (20.48 + 21.02) /2 = 41.05 / 2 = 20.75
Error margin = (upper bound - mean) = 21.02 - 20.75 = 0.27
0.3 > 0.27
From the calculations made, the mean are the same, but the error margin of supplier is higher, thus it could be concluded that the supplier is less accurate than they have claimed
Please help me
Lisa has only nickels and dime in her money box. She knows that she has less than $15 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y?
Answer:
Draw a dashed line to represent the graph of 5x + 10y = 1500 and shade the portion below the line for positive values of x and y.
Step-by-step explanation:
This is the answer I can confirm that this is true rather than,"WhAt TyPe Of MaThEmAtIcS iS tHis?"
Evaluate x – 3y if x = –4 and y = –6.
22
14
–14
–22
Answer:
-22
Step-by-step explanation:
x-3y
(-4)-3(-6)
(-4)-(-18)
(-22)
pentagon PQRST ~ pentagon XYZVW. find the value of b. will give brainlist
Answer:
Step-by-step explanation:
(4a - 3)/(3b + 1) = 39/(a + 1) You are not going to get a numerical answer for this. Cross multiply
(4a - 3)(a + 1) = 39(3b + 1)
4a^2 + a - 3 = 117b + 39
4a^2 + a - 42 = 117b
b = [tex]\frac{a^2 +a - 42}{117}[/tex]
Answer:
b = 3
Step-by-step explanation:
I think that the relations are the following
[tex]\frac{QP}{XY}=\frac{RS}{VZ}=\frac{PT}{XW}\\\\\frac{39}{13}=\frac{4a-3}{a+1}=\frac{5a+6b}{5b+1}\\\\3=\frac{4a+3}{a-1}=\frac{5a+6b}{5b+1}[/tex]
so we first solve for a and then for b
[tex]3=\frac{4a-3}{a+1}\\\\3(a+1)=4a-3\\\\3a+3=4a-3\\\\4a-3a=3+3\\\\a=6[/tex]
and now for b
[tex]3=\frac{5a+6b}{5b+1}\\\\3(5b+1)=5a+6b\\\\15b+3=5a+6b\\\\15b=5a+6b-3\\\\15b-6b=5a-3\\\\9b=5a-3\\\\b=\frac{5a-3}{9}\\\\b=\frac{5(6)-3}{9}\\\\b=\frac{30-3}{9}\\\\b=\frac{27}{9}\\\\b=3[/tex]
If x=1/2 and y=3/2, find the values of i) xy÷(x+y) ii) x+y ÷ x-y
Answer:
i) 3/8
ii) -2
Step-by-step explanation:
i) 1/2*3/2/(1/2+3/2)
3/4/2
3/4*1/2
3/8.
ii) 1/2+3/2 / 1/3-3/2
2/-1
-2.
Hope this helps :)
one strand of lights for a Christmas tree 250 light bulbs. If 20% of the light bulbs are green how many light bulbs on the strand of light are green?
Answer:
20% of 250 is 50
6 times the difference of n and 9 is 54
Answer:
18
Step-by-step explanation:
Graph this equation:
x - 2y = 6
Answer:
The image below shows the equation x - 2y = 6 being graphed.
Hope this helps! :)
Please help please please
the angles of a triangle are in the ratio 2:3:4 find the size of each angle
Answer:
40:60:80
Step-by-step explanation:
2x+3x+4x=180 (sum of ang. In tri. Is 180)
X=20
2x is 40
3x is 60
4x is 80
40 plus 60 plus 80 is 180.
The sum of a number and eight is equal to 14 what is the number
Answer:
the number is 6
Step-by-step explanation:
14-8=6
good luck!
hope this helps someone
Answer:
ok
Step-by-step explanation:
Answer:
D and it does help
Step-by-step explanation:
brainliest please
Jerome solves the inequality y–2 ⩽ 9 in one step, writing y ⩽ 11 as the solution. What property best justifies the step he used to solve the inequality?
A. multiplication or division property of inequality
B. addition or subtraction property of inequality
C. distributive property
need helpwith this math
Answer: -0.6, -1/4 (-0.25), -0.15
Step-by-step explanation: the farther away from 0, going left, the smaller the number.
A worker uses 750 inches of steel wire to make 300 springs of the same size. At this rate how many inches of steel wire are needed to make 1 spring?
2.5 inches steel wire
We can use an equation to find the answer. 750/300 = 2.5
Answer:
2.5 inches of steel wire are needed to make one spring.
Step-by-step explanation:
In order to answer this, we can set up a proportion (setting two fractions equal to each other) to solve for how many inches of steel wire are needed to make one spring.
We are given a ratio: 750 inches of steel wire are required to make 300 springs. Therefore, this is represented as:
[tex]\bullet \ \ \ \text{750 inches of steel wire : 300 springs}[/tex]
This can be rewritten in fraction form:
[tex]\displaystyle \bullet \ \ \ \frac{\text{750 inches of steel wire}}{\text{300 springs}}[/tex]
Therefore, we have our first proportion.
We want to make one spring, so we need to find how much steel is required to make one spring. Therefore, for our second fraction, the inches of steel wire is unknown. We can define this as x.
[tex]\bullet \ \ \ \text{x inches of steel wire}[/tex]
Finally, our ratio can be written in the same manner as the previous ratio:
[tex]\bullet \ \ \ \text{x inches of steel wire : 1 spring}[/tex]
This can be rewritten in fraction form:
[tex]\displaystyle \bullet \ \ \ \frac{\text{x inches of steel wire}}{\text{1 spring}}[/tex]
Now, we need to set up our proportion. We do this by setting our two ratios equal to each other.
[tex]\displaystyle \bullet \ \ \ \frac{\text{750 inches of steel wire}}{\text{300 springs}} = \frac{\text{x inches of steel wire}}{\text{1 spring}}[/tex]
To solve a proportion, we need to cross multiply. We can flip our fractions and solve for the reciprocal since there is not really a way to represent cross-multiplication.
[tex]\displaystyle \bullet \ \ \ \frac{\text{750 inches of steel wire}}{\text{300 springs}} = \frac{\text{1 spring}}{\text{x inches of steel}}[/tex]
First, we can drop our labels/units.
[tex]\displaystyle \bullet \ \ \ \frac{750}{300} = \frac{1}{\text{x}}[/tex]
Then, we can multiply across.
[tex]\displaystyle \bullet \ \ \ 750 = 300x[/tex]
Finally, we can solve for x.
[tex]\displaystyle 750 = 300x\\\\\frac{750}{300}=\frac{300x}{300}\\\\2.5 = x\\\\x = 2.5[/tex]
Therefore, to make one spring, exactly 2.5 inches of steel wire are needed.
Please help me with this question
I need help with 5 problems! Please actually help and don't just reply for points!
This question applies to ALL the photos: Is there enough information to prove that the triangles are congruent? If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement. If no, justify your answer.
Answer:
There is enough evidence to prove they are congruent. AAS would be what's used in this case.
Step-by-step explanation:
(< = angle)
<B = <Z, <A = <Y, line AC and line XY are equal.
Edit: So it appears that each of the photos are congruent. They have enough labels on them to tell you that their last unidentified angle would have to be congruent as well, meaning that each picture is congruent.
HELP A BROTHER OUT!! IVE BEEN STUCK ON THESE 2 QUESTIONS
Select all that apply.
Which of the following ratios are equlvalent to 6:8?
24:36
9:12
12 to 16
16 to 24 36/40 15/20
Answer:
multiply 6:8 by 2
12:16