Answer:
(- 4, 9 )
Step-by-step explanation:
Given the 2 equations
3x + 4y = 24 → (1)
3x + 2y = 6 → (2)
Subtract (2) from (1) term by term to eliminate x
3x - 3x + (4y - 2y) = 24 - 6
2y = 18 ( divide both sides by 2 )
y = 9
Substitute y = 9 into either of the 2 equations and solve for x
Substituting into (1)
3x + 4(9) = 24
3x + 36 = 24 ( subtract 36 from both sides )
3x = - 12 ( divide both sides by 3 )
x = - 4
solution is (- 4, 9 )
If a is an odd number, then 2a is an even number,
Answer:
That would be correct!
Step-by-step explanation:
Hope this help :3
Answer:
yes
STEP-BY-STEP-EXPLANATION:
Q8. How many solutions does the system of equations have?
Answer:
it would be the first answer
Step-by-step explanation:
a solution is where the lines meet, and the coorinate is (1,4)
HELP PLEASE NO LINKS!
Answer:
c. 60
Step-by-step explanation:
The remote angles theorem states that when one extends one of the sides of a triangle, the angle between one of the existing sides and the extension is equal to the sum of the two non-adjacent angles in the triangle. One can apply this theorem here by stating the following,
101 = 41 + x
Use inverse operations to solve for parameter (x),
101 = 41 + x
-41 -41
60 = x
What two numbers that multiply to -115 but add to 10
Answer:
-1 and 10
Step-by-step explanation:
Here we answer the question: "What two numbers multiply to -10 and add up to 9?"
The answer to your question is:
-1 and 10
For the parallelogram if m<2=4x=3x-15, find m<3. The diagram is not to scale.
Answer:
159
Step-by-step explanation:
Diagonal angles of a parallelogram are equal.
Therefore, 3x-15 = 4x-27.
3x - 15 = 4x - 27
4x = 3x + 12
x = 12
Angle 4 = 21 degrees, because 36 - 15 = 21.
All angles in a parallelogram add up to 360 degrees.
360 - 42 = 318
318 / 2 = 159
The angle measure is 159 degrees.
pls help. due tmrw. will give brainliest
Answer:
0
Step-by-step explanation:
Natalie paid $20.7 for 3 small pizzas and a salad which was $3.
Write an equation to represent the situation
seventh grade
8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
ninth grade
8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
Find the median of each data set.
Median of seventh grade=
Median of ninth grader
Answer:
median of seventh grade = 16.5
median of ninth grade = 16.5
Step-by-step explanation:
median = middle number, there are 18 numbers in total of each set. Since its even the middle number is kinda 16 and 17, but you can only choose one so the middle of 16 and 17 is 16.5
Solve the proportion then around your answer to the nearest hundredth
Answer:
[tex] \frac{6.3}{x} = \frac{2.56}{9.3} \\ x = \frac{6.3 \times 9.3}{2.56} \\ x = 22.89[/tex]
Answer:
x = 22.89
Step-by-step explanation:
6.3 / x = 2.56 / 9.3
Cross multiply
58.59 = 2.56x
Divide both sides by 2.56
22.88671875 = x
Round
x = 22.89
brailiest for answer
Answer:
Hello! answer: 4/5
Step-by-step explanation:
20 ÷ 5 = 4 25 ÷ 5 = 5 therefore that is 4/5 and since you cant reduce further 4/5 is the answer HOPE THAT HELPS!
Answer:
4/5 is the answer divide the top and bottom by 5
hope this helps
have a good day :)
Step-by-step explanation:
monkeeeeeeeeeeeeeeeeeeeeeee also help
[tex] \frac{9}{27} = \frac{1}{3} [/tex]
This is the simplest form of the fraction.
9/27 9 Council it self 1 and goes into 27 three times so the answer will be 1/3.
help me please im dum ...
Answer:
100
Step-by-step explanation:
1/2 x b x h
1/2 x 20 x 10
100
Find the 7th term of the sequence 1,5/4,25/16
9514 1404 393
Answer:
15625/4096
Step-by-step explanation:
The sequence is geometric with first term 1 and common ratio 5/4. The general term is ...
an = a1·r^(n-1)
an = 1·(5/4)^(n-1)
Then the 7th term is ...
a7 = (5/4)^(7-1) = 15625/4096
Set up an equation and solve for the unknown number.
“The sum of 4 and a number is equal to twice that same number”
f(x) = x^2. What is g(x)?
What does this mean-Solve 3!
Answer:
solve 3 bro duh
Step-by-step explanation:
The ratio of dogs to cats is 4 to 7. how many dogs are present if there is 49 cats
Answer:
28 dogs are present
Step-by-step explanation:
Dogs : Cats
= 4 : 7
= ? : 49
= 4 x 7 : 7 x 7
= 28 : 49
The population of Nowhere, USA was estimated to be 665,200 in 2004, with an expected increase of 1.9 % per year. At the percent of increase
given what was the expected population in 2005? Round your answer to the nearest whole number.
Answer:
677838 people
Step-by-step explanation:
1.9 percent of 665200 is 12638
665200+12638=677838
HELP! IS MY ANSWER RIGHT?PLeasee HELP me find the area of the WHOLE figure.
LEAVE ME ALONE if you DONT know the answer
Will mark brainliest
Answer:23.5 square units
Step-by-step explanation:
The cost for two different companies to make x candles is shown on the graph.
Which comparison between the two companies is accurate?
A) The cost per candle made is $1 greater for Quick Wick.
B) There is a $1 difference between the initial values of the two companies.
C) Quick Wick will make 50 candles at a higher cost than Wax Art.
D) Quick Wick will make more candles when the cost is $600.
Answer:
D) Quick Wick will make more candles when the cost is $600.
Step-by-step explanation:
Find the initial value (b) and the cost per candle (m), to write the equation of each line in the slope-intercept form, y = mx + b. This will help for easy comparison.
✔️Wax Art:
m = change in y/change in x
Using (10, 140) and (20, 180),
m = (180 - 140)/(20 - 10) = 40/10
m = 4
Cost per candle = $4
To find b, substitute (x, y) = (10, 140) and m = 4 into y = mx + b
140 = 4(10) + b
140 = 40 + b
140 - 40 = b
100 = b
b = 100
Initial value = $100
To get the equation, substitute m = 4 and b = 100 into y = mx + b
y = 4x + 100
✔️Quick Wick:
m = change in y/change in x
Using (10, 120) and (30, 180),
m = (180 - 120)/(30 - 10) = 60/20
m = 3
Cost per candle = $3
To find b, substitute (x, y) = (10, 120) and m = 3 into y = mx + b
120 = 3(10) + b
140 = 30 + b
120 - 30 = b
90 = b
b = 90
Initial value = $90
To get the equation, substitute m = 3 and b = 90 into y = mx + b
y = 3x + 90
Let's analyse each option given using the information we now have:
✔️Option A: INCORRECT
Cost per candle for made is $1 less for Quick Wick. I.e. cost per candle for Quick wick is $3. Cost per candle for Wax Art is $4.
✔️Option B: INCORRECT
Difference between the initial value sof the two companies = $100 - $90 = $10
✔️Option C:
Find the cost of making 50 candles for each company by substituting x = 50 into each of their equations. Thus:
Wax Art => y = 4x + 100
y = 4(50) + 100
y = $300
Wax Art will make 50 candles for $300
Quick Wick => y = 3x + 90
y = 3(50) + 90
y = $240
Quick Wick makes 50 candles for $240
As we can see, Quick wick is making 50 candles at a lower cost than Wax Art.
Therefore, option C is INCORRECT.
✔️Option D: find out how many candles (x) each company will make when the cost is $600.
Substitute y = 600 in each equation of both companies
Wax Art => y = 4x + 100
600 = 4x + 100
600 - 100 = 4x
500 = 4x
500/4 = x
x = 125 candles
Quick Wick => y = 3x + 90
600 = 3x + 90
600 - 90 = 3x
510 = 3x
510/3 = x
x = 170 candles
Quick Wick will make more candles when he cost is $600.
Therefore, option D is the only CORRECT statement of comparison.
-2c + 8 - 7c - 6 -5c + 14 -5c + 14 -9c + 2 -9c + 2 9c - 14 9c - 14 5c + 14 5c + 14
Answer:
= -152c + 32
Step-by-step explanation:
sry if wrong
A company produces millions of 1-pound packages of bacon every week. Company specifications allow for no more than 3 percent of the 1-pound packages to be underweight. To investigate compliance with the specifications, the company's quality control manager selected a random sample of 1,000 packages produced in one week and found 40 packages, or 4 percent, to be underweight. Assuming all conditions for inference are met, do the data provide convincing statistical evidence at the significance level of α= 0.05 that more than 3 percent of all the packages produced ir one week are underweight?
a. Yes, because the sample estimate of 0.04 is greater than the company specification of 0.03.
b. Yes, because the p-value of 0.032 is less than the significance level of 0.05.
c. Yes, because the p-value of 0.064 is greater than the significance level of 0.05.
d. No, because the p-value of 0.032 is less than the significance level of 0.05.
e. No, because the p-value of 0.064 is greater than the significance level of 0.05.
Answer:
We accept H₀ we don´t have enough evidence to support that more than 3 % of the packages are undeweight
Step-by-step explanation:
Sample size n = 1000
x ( defective packages found) = 40
p = 40 /1000 p = 0,04 p = 4 % then q = 0,96
np = 0,04 * 1000 and nq / 0.96 * 1000 both greater than 5
Then we can use the approximation of binomial distribution to normal distribution.
α is significance level α = 0,05
From z- table we find z(c) for α = 0,05 z(c) = 1,64
Test Hypothesis
Null Hypothesis H₀ p = 0,03
Alternative Hypothesis Hₐ p > 0,03
We can see from alternative Hypothesis that the test is a one tail test to the right of the bell shape curve of the normal distribution
To calculate z(c) = ( 0,04 - 0,03 ) / √ ( p*q)/n
z(c) = 0,01 * 31,62 / √ 0,04*0,96
z(c) = 0,3162 / 0,1959
z(c) = 1,6140 z(c) ≈ 1,61
Comparing z(s) and z(c)
z(c) > z(s) 1.64 > 1.61
Then z(s) is in the acceptance region for H₀ we accept H₀
A dry cleaning establishment claims that a new spot remover will remove more than 70% of the spots to which it is applied. To check this claim, the spot remover will be used on 15 spots chosen at random. If fewer than 11 of the spots are removed, we shall not reject thenull hypothesis that p= 0.7; otherwise, we conclude that p > 0.7.
Required:
a. Evaluate α, assuming that p = 0 .7.
b. Evaluate β for the alternative p = 0.9.
Answer:
α = 1 - 0,915 = 0.085
β = 0.314
Step-by-step explanation:
Dry cleasning clain that spot remover will remove the 70% of spot. The claim support the spot and chose at random.
Null hypothesis:
H0 : p = 0.7
If 11 of spot are removed then hypothesis rejected.
If 11 spots are not removed then hypothesis accepted
H1 : p >0/7
X is the number of spot and binomial random variable.
For a)
The probability of committing the type 1 error use alpha such as
α = P ( type I error)
where X > 10
and p = 0.7
for the given values where n = 12 and r = 10 and p - 0.7
we get
α = 1 - 0,915 = 0.085
b)
The nonrejection of the hypothesis where type II error is false .
The hypothesis for this is 0.9
This is Type II error
β = P ( type II error) = P ( X <= 10 where p = 0.9 )
Where n = 12 , r = 10 and p = 0.9
then
β = 0.314
pythagorean theorem round to the nearest tenth
Answer:
15
Step-by-step explanation:
Using pythagoras theorem
what is y if x = -1 in this equation 6x=4y-2
Answer:
x
+
2
y
=
4
,
x
−
y
=
−
3
Step-by-step explanation:
P and q are points on the line 2y-5x=10
Answer:
[tex]2y-5x =10\\when \ x = 0, \ 2y = 10 => y = 5\\\\\\when \ y = 0, -5x =10 => x =-2\\\\Therefore \ the \ coordinates \ of \ the \ points \ p \ and \ q\ are \ (0, 2) \ and \ (-2, 0)[/tex]
which of the following inequities are true?
Select the TWO correct answers.
A: |4| > 7
B: |-4| < 4
C: |-7| > |4|
D: |7| > |-7|
E: |-4| < |-7|
Answer:
c and e ................
please help with this math question
PLEASEEEEE I GIVE 45 POINTS PLSSS. the figure shows the heights of a diver during a dive. The diving board is at a height of 10 feet above the surface of the water in the pool. The diver's height is 16 feet at the top of the dive and negative 8 feet at the completion of the dive. What is the meaning of zero in this situation?
It is the height of the diver at his lowest point.
It is the height of the diver when he begins his dive.
It is the height of the diver when he is entering the water.
It is the height of the diver when he stops going up and starts going down.
Answer:
C
Step-by-step explanation:
Because the bottom of the water is -8
and the diving board is 10
and the person is 6 feet
Which means the top of the water is 0
What is the length of AC?