Answer:
3 1/5
Step-by-step explanation:
24/5 ÷ 3/2
24/5 x 2/3
48/15
16/5
3 1/5
Evaluate 4xy+7y-9x+21-3x^2 when x=2 and y=-1 pour answer
Answer:
-24?
Step-by-step explanation:
4xy + 7y - 9x + 21 - 3x^2
4(2)(-1) + 7(-1) - 9(2) + 21 - 3(2)^2
-8 - 7 - 18 + 21 - 12
- 24
the diagram shows the graph of the function y=(x-r)²+4, where r is a constant.
a) find the value of r
Answer:
d
Step-by-step explanation:
A store sells juice in different sizes. Determine which size is the best buy and the unit price.
8 oz $2.40
24 oz $6.48
64 oz $14.08
Solve each equation for the variable. Show your work and check your solution.
Steps to follow:
Step 1: Distribute First
Step 2: Combine like terms
Step 3: Solve the equation
1. 5x + 4x − 6x = 24 2. 8x + 5 − 4x + 1 = 46
3. 33 = 5(x + 8) + 3 4. 2x + 3(x − 8) = 1
5. x + x − 2x + 4x = −48 6. 2(x + 5) + 3x = 25
7. 60 = 4(x + 3) + 2(x − 3) 8. 47 = 2(x + 3) + 3(x − 3)
9. −2(x + 1.4) − 1.8 = 20.6 10. 8 − 2(x + 4) = 10
11. Tyler told his friend this riddle: “I am thinking of a number. Three times my number plus twice my number is twenty. What number am I thinking of?”
a) Write an equation that models Tyler’s statement.
b) Solve the equation. What number was Tyler thinking of?
Answer:
1. This is a like term
24 = 24
2. This is not a like term
12x - 6 = 46
3. This is not a like term
33 = 5x + 43
4.This is a like term
1 = 1
5. This is not a like term
7x = -48
6. This is a like term
25 = 25
7. This is a like term
60 = 60
8. This is a like term
47 = 47
9.This is a like term
20.6 = 20.6
10.This is a like term
10 = 10
Step-by-step explanation:
1. 5x + 4x − 6x = 24
5x + 4x = 9x
9x - 6x = 24
3x = 24
We can replace x and turn it into an 8.
3(8) = 24
3 x 8 = 24
24 = 24
This is a like term.
2. 8x + 5 − 4x + 1 = 46
8x + 4x - 5 + 1 = 46
8x + 4x = 12x
12x - 5 + 1 = 46
5 + 1 = 6
12x - 6 = 46
We cannot replace the x with any number to get 46.
So this is not a like term.
3. 33 = 5(x + 8) + 3
5xX= 5x
5 x 8 = 40
33 = 5x + 40 + 3
40 + 3 = 43
33 = 5x + 43
We cannot replace any number with x and get 33.
This is not a like term.
4. 2x + 3(x − 8) = 1
3 x X = 3x
3 x 8 = 24
2x + 3x - 24 = 1
2x + 3x = 5x
5x - 24 = 1
We can replace the x with 5.
5(5) - 24 = 1
5 x 5 = 25
25 - 24 = 1
1 = 1
This is a like term
5. x + x − 2x + 4x = −48
x + x = 1x because x is always a 1
1x - 2x +4x = -48
1x + 2x = 3x
4x + 3x = 7x
7x = -48
We cannot replace x with any number.
This is not a like term.
6. 2(x + 5) + 3x = 25
2 x X = 2x
2 x 5 = 10
2x + 10 + 3x = 25
2x + 3x + 10 = 25
2x + 3x = 5x
5x + 10 = 25
We can replace the x with a 3.
5(3) + 10 = 25
5 x 3 = 15
15 + 10 = 25
25 = 25
This is a like term.
7. 60 = 4(x + 3) + 2(x − 3)
4 x X = 4x
4 x 3 = 12
60 = 4x + 12 + 2(x - 3)
2 x X = 2x
2 x 3 = 6
60 = 4x + 12 + 2x - 6
60 = 4x +2x +12 - 6
4x - 2x = 2x
60 = 2x + 12 - 6
12 - 6 = 6
60 = 2x + 6
We can replace the x with a 33.
60 = 2(33) - 6
2 x 33 = 66
66 - 6 = 60
60 = 60
This is a like term.
8. 47 = 2(x + 3) + 3(x − 3)
2 x X = 2x
2 x 3 = 6
47 = 2x + 6 + 3(x - 3)
3 x X = 3x
3 x 3 = 9
47 = 2x + 6 + 3x - 9
47 = 2x + 3x + 6 - 9
2x + 3x = 5x
47 = 5x + 6 - 9
6 - 9 = -3
47 = 5x + -3
We can replace the x with a 10.
47 = 5(10) + -3
5 x 10 = 50
47 = 50 + -3
50 + -3 = 47
47 = 47
This is a like term.
9. −2(x + 1.4) − 1.8 = 20.6
-2 x X = -2x
-2 x 1.4 = -2.8
-2x + -2.8 - 1.8 = 20.6
-2.8 - 1.8 = -4.6
-2x + -4.6 = 20.6
We can replace x with a 8.
-2(8) + -4.6 = 20.6
-2 x 8 = -16
-16 + -4.6 = 20.6
20.6 = 20.6
This is a like term.
10. 8 − 2(x + 4) = 10
2 x X = 2x
2 x 4 = 8
8 - 2x + 8 = 10
8 - 8 + 2x = 10
8 - 8 = 0
0 + 2x = 10
We can replace x with 5.
0 + 2(5) = 10
2 x 5 = 10
0 + 10 = 10
10 = 10
This is a like term.
I hope this helped. I am sorry if you get this wrong. Have a wonderful day.
1. The Lincoln Middle School football team needs to raise at least $1,225 for new uniforms. They sell tickets for a school dance for $2 each, but they have to pay the DJ $500 students. Create an inequality that the football team can use to see how many tickets they must sell to reach their goal.
Answer: 1,225 ≤ 2t - 500
Step-by-step explanation: t = tickets
According to the Centers for Disease Control and Prevention (February 18, 2016), 1 in 3 American adults don’t get enough sleep. A researcher wants to determine if Americans are sleeping less than the recommended 7 hours of sleep on weekdays. He takes a random sample of 150 Americans and computes the average sleep time of 6.7 hours on weekdays. Assume that the population is normally distributed with a known standard deviation of 2.1 hours. Test the researcher’s claim at α = 0.01
a. Select the relevant null and the alternative hypotheses.
A. H0: μ = 7; HA: μ ≠ 7
B. H0: μ ≤ 7; HA: μ ≥ 7
C. H0: μ ≥ 7; HA: μ < 7
b. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Test statistic = ?
c. Find the p-value
A. p-value < 0.01
B. 0.01 ≤ p-value < 0.025
C. 0.025 ≤ p-value < 0.05
D. 0.05 ≤ p-value < 0.10
E. p-value ≥ 0.10
d. What is the conclusion at α = 0.01?
A. Reject H0 since the p-value is greater than α.
B. Reject H0 since the p-value is smaller than α.
C. Do not reject H0 since the p-value is greater than α.
D. Do not reject H0 since the p-value is smaller than α.
e. Make an inference.
A. There is insufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep.
B. There is sufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep.
Answer:
A) Option C: H0: μ ≥ 7; HA: μ < 7
B) test statistic = -1.75
C) Option C: 0.025 ≤ p-value < 0.05
D) Option C: Do not reject H0 since the p-value is greater than α.
E) Option A: There is insufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep.
Step-by-step explanation:
We are given;
Population mean; μ = 7
Sample mean; x = 6.7
Standard deviation; s = 2.1
Sample size; n = 150
A) Defining the hypothesis, we have;
Null Hypothesis; H0: μ ≥ 7
Alternative hypothesis; HA: μ < 7
B) Formula for the test statistic is;
z = (x - μ)/(s/√n)
Plugging in the relevant values, we have;
z = (6.7 - 7)/(2.1/√150)
z = -0.3/0.1715
z = -1.75
C) Using online p-value from z-score calculator attached with; z = - 1.75 ; α = 0.01 and one tailed distribution, we have;
The P-Value = 0.040059
Thus,the most appropriate answer is;
Option C: 0.025 ≤ p-value < 0.05
D) P-value is greater than the significance level, thus we fail to reject the null hypothesis.
E) We will conclude that there is insufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep.
A grain silo is shaped like a cylinder. The height of the silo is 60 feet tall, and the circumference of
the base is a 20 feet. Which measurement is closest to the volume of the silo in cubic feet?
F 3,769.9 ft?
G 75,398.2 ft3
H 226,194.7 ft
J 18,849.6 ft3
Answer:
F
Step-by-step explanation:
whats 1 + 1? (P.S this is just a joke)
Andre brought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was brought.
Which of the following is an Equivalent Fraction to: 3/8
Answer:
Step-by-step explanation: 8/3is equivalent fraction to three
Answer:
9/24
Step-by-step explanation:
please help im hungry but I cant eat until I finish this
Isabella has $15.57 to buy strawberries at the store. Each pint of strawberries costs $2.35. How many full pints of strawberries can Isabella buy?
Answer:
if im not mistaking 6.
Step-by-step explanation:
Answer:
6 pints is the anwser.
Step-by-step explanation:
you just have to keep adding until you cause get the closest possibble number and count how many times you added 2.35 and there your anwser!
which of the following statements is true, based on the graph
eye color vs. favorite color
Most of the bars are pretty close to each other.
The answer would be the first choice.
how to break 2/5 in a fraction.
Answer:so it is 0.4 or 40% and it is hard to explain
Step-by-step explanation:
Write 2 x 10^-5
in standard notation.
Write as an equation.
Your test score is 50 divided by the sum of 8 and 60.
O 50/x = 8 + 60
O 50 = 8/60
50x = 8 + 60
O X = 50/(8 +60)
Answer:
the first one
Step-by-step explanation:
can someone please help within 30 minutes :)
Answer: D
Step-by-step explanation:
It's 113 bc 180-67=113 and it's consecutive bc they are on the same side and right next to each other
Answer:
hellooo…
I think one of two options
C or D
Help me please I need to find the equation
Answer:
B.
Step-by-step explanation:
Hopefully this helps
Anyone please help me with last two I'll vote brainliest!! :))
Answer:
7. y= x + 12 8. y= -1 + 4x
Step-by-step explanation:
for 7 all you need to do is subtract x from both sides to get y= 12- x, and to make it perpendicular you need to make the current slope it’s exact opposite so in this case that’s just changing the “-” symbol to an “+”.
for 8 you do the same first step you did in 7 and subtract 4x from both sides to get -y= 1 - 4x. Next you divide everything by -1 (because it’s the number in front of the Y) and you get Y= -1 + 4x
someone help... please :/
Answer:
-1/4
Step-by-step explanation:
please hurry i need this fast
This triangle is congruent under the ASA congruence postulate as the two corresponding parts of this triangle which are angles are equal and there is one equal side . The equal side is the common side of both these triangles .
can somebody pleaase answer for me
2 divided by 3
In a fraction please
Answer: 2/3
The slash means division, and it also means a fraction, as they are effectively one in the same.
2/3 = 0.667 approximately after using a calculator
A common abuse of bar graphs is
Answer:
A common abuse of bar graphs is to. replace bars by pictures and increase both height and width as the variable plotted increases. If a bar graph is to be accurate, it is essential that. the bars all have the same width.
Solve 4x – 2(x + 1) = 3x + 10
Ox= -12
Ox=12
Ox= -8
Ox=8
HELP ASAP
Answer:
The Answer is : x= -12
Step-by-step explanation:
[tex]4x-2(x+1)=3x+10\\4x-2x-2=3x+10\\2x-2=3x+10\\2x-3x=10+2\\-x=12\\x=-12[/tex]
Answer:
[tex] \huge \boxed{x = - 12}[/tex]
Step-by-step explanation:
[tex]4x – 2(x + 1) = 3x + 10[/tex]
Expand the terms in the bracket
That's
[tex]4x - 2x - 2 = 3x + 10 \\ 2x - 2 = 3x + 10[/tex]
Subtract 2x from both sides of the equation
[tex]2x - 2x - 2 = 3x - 2x + 10 \\ - 2 = x + 10[/tex]
Subtract 10 from both sides of the equation
[tex] - 2 - 10 = x + 10 - 10 \\ x = - 12[/tex]
We have the final answer as
[tex]x = - 12[/tex]
Hope this helps you
How many 20p coins would you need to make £10?
Answer:
50 20p coins is needed to make 10 pounds
Please answer these four questions pleaseeeee
Solve for x. 3 (2x + 7) = 15 (x - 4)
Please help me?
8 + 12 ÷ ( 4 - 2 )
Answer:
14
Step-by-step explanation:
Use PEMDAS to start with parantheses and then divide and then add
Answer
Step-by-step explanation:
a
Positive
b
Undefined
c
Negative
d
Zero
how to find sample variance with these numbers?
4364
4459
4740
4510
4509
4666
4946
4499
4857
4022
3841
4230
Answer:
s2 = 105174.93
Step-by-step explanation:
s2=∑ni=1(xi−x¯)^2 / n−1