The total price of the television is $888.3
Which number is a solution of the inequality? 5(2q – 8) ≥ 7 A. 6 B. –2 C. −12 D. 92
[tex]5(2q-8)\geq7\\10q-40\geq7\\10q\geq47\\q\geq4.7[/tex]
so the solution is not really a single number but a range, depending on how q is defined. I am assuming q is defined in domain of Real numbers, and then the solution to the inequality will be "all real numbers larger or equal to 4.7"
evaluate 9- 8/s when s=4
Answer:
Your answer would be 7.
Step-by-step explanation:
9 - 8/s first you divide 8 and s which in this case is 4.
8/4 is 2.
9 - 2 = 7
Therefore, your answer is 7
The required value of 9 -8/s when x = 4 is 7.
Given that,
to determine the value of the expression 9- 8/s when s=4.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
What is simplification?
The procedure in mathematics to perform and solve the expression to make expression simple or more understandable called simplify and the process is called simplification.
Here,
Let the given expression is equal to x
x = 9 - 8/s
here, s = 4
x = 9 - 8 /4
x = 9 - 2
x = 7
Thus, the required value of 9 -8/s when x = 4 is 7.
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4: Find the equation of the line perpendicular to y = ¼ x + 2, passing through the point (-3,0).
A. Y = ¼ x + ¾
B. Y = 4x + 12
C. Y = -4x – 12
D. Y = -4x + 12
Your answer is C. Y= -4x-12
State of the number 49/9 (square root) is a rational or irrational
A. Rational
B. Irrational
In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points.
Answer:
Team A= 2b-5
Team B= b
Team C= b+80
The equation representing this scenario is (2b-5)+ b + (b+80)= 983
Step-by-step explanation:
Solving the equation b + (2b - 5) + (b + 80) = 983, we found that Team B scored 227 points. Therefore, Team A scored 449 points and Team C scored 307 points.
To represent the scenario mathematically, let's define the variable b as the total points scored by Team B. Then, we can express the points scored by the other two teams in terms of b:
Team A scored 5 fewer than twice as many points as Team B: 2b - 5Team C scored 80 more points than Team B: b + 80The combined score for all three teams was 983 points. Thus, we can write the equation:
b + (2b - 5) + (b + 80) = 983.Simplify the equation step-by-step:
Combine like terms: 4b + 75 = 983Subtract 75 from both sides: 4b = 908Divide by 4: b = 227So, Team B scored 227 points.
Put the following in slope intercept form
4x - 3y = 15
slope intercept form: y = mx + b
Note the equal sign. what you do to one side, you do to the other. First, subtract 4x from both sides
4x - 3y = 15
4x (-4x) - 3y = 15 (-4x)
-3y = -4x + 15
Next, divide -3 from both sides to isolate the y.
(-3y)/-3 = (-4x + 15)/-3
y = (4/3)x - 5
y = (4/3)x - 5 is your answer
hope this helps
Margaret has some goats.
The goats produce an average of 21.7litres of milk a day for 280 days.
She sells the milk in half litre bottles.
Work out an estimate for the number of bottles Margaret will be able to fill with the milk.
To estimate the number of bottles Margaret can fill, multiply the daily milk production (21.7 liters) by the number of production days (280) to get the total milk produced, then divide this by the volume of one bottle (0.5 liters) to determine the number of bottles (12152).
Explanation:Estimating Number of Bottles from Milk Production
Margaret has goats that produce an average of 21.7 liters of milk a day for 280 days. The key task here is to estimate how many half-liter bottles could be filled with this amount of milk. Since each bottle holds half a liter, we need to calculate the total volume of milk and then divide it by the volume of one bottle, which is 0.5 liters.
Calculate the total milk production: 21.7 liters/day × 280 days = 6076 liters.Calculate the number of half-liter bottles: 6076 liters ÷ 0.5 liter/bottle = 12152 bottles.Therefore, Margaret would be able to fill an estimated 12152 half-liter bottles with the milk produced.
what is the simplest form of 0.875 as a fraction
jacklyn's employer matches 30% of Jacklyn's contributions to her 401(k) plan if her employer contributed $300 to the plan last year, how much did Jacklyn contribute to the plan last year?
A) $1300
B) $1000
C) $700
D) $900
B because 30% of 1000 is 300
Answer:
Option B) $1000 would be correct.
Step-by-step explanation:
Jacklyn's employer matches 30% of Jacklyn's contributions to her 401(k) plan.
Let Jacklyn's contribution = x
Her employer's contribution = 30% of x = 300
= [tex]\frac{30x}{100}[/tex] = 300
= 30x = 300 × 100
= x = 30000 ÷ 30 = $1000
Jacklyn contributed $1000 to the 401(k) plan last year.
Write the equation of the line perpendicular to the line y = -5/7x + 12/7 and containing the point (5,2). Write your answer in slope-intercept form.
Answer:
y = 7x/5 - 5
Step-by-step explanation:
m = 7/5
y - 2 = 7/5(x - 5)
y - 2 = 7x/5 - 7
y = 7x/5 - 5
The area of a rectangle is 45 ft2. If the length of the long side of the rectangle is 80% greater than the short side of the rectangle, what is the length of the longer side?
To solve this problem we propose the following equation:
1) [tex]b*h =45\\[/tex] This is the equation of the area of a rectangle.
Where a and b are the sides of the rectangle
If b is the longest side, then
b is 80% longer than h.
2) [tex]b= h+0.8h\\[/tex]
Now we have 2 equations and two unknowns.
Therefore we solve the following equations
[tex]45=b*\frac{b}{1+0.8}\\[/tex]
[tex]b^2=45(1+0.8)[/tex]
[tex]b =\sqrt{45(1+0.8)}\\[/tex]
b = 9 feet
The length of the longest side is 9 feet.
The area of a rectangle is 45 ft^2
If the length of the long side of the rectangle is 80% greater than the short side of the rectangle.
Let the shortest side be the width (x)
Length of rectangle L = 80% greater than x
So length = 0.8 x + x
Length = 1.8 x
Area of the rectangle = Length * width
45 = 1.8x * x
[tex]45= 1.8x^2[/tex]
Divide by 1.8 from both sides'
[tex]25= x^2[/tex]
Take square root on both sides
x=5
so width of the rectangle = 5 feet
Length of the rectangle (longer side) = 1.8x = 1.8 * 5 = 9 feet
HOW WOULD YOU DO THIS???
Which coordinate plane shows the graph of f(x)=2x+3?
Answer:
NOT the graph A and the graph B.
Step-by-step explanation:
y = mx + b
m - slope
b - y-integer
If m > 0 then the function is increasing.
if m < 0 then the function is decreasing.
We have y = -2x + 3
m = -2 < 0 the function is decreasing
b = 3 y-intercept = 3
The x-intercept: y = 0. Substitute
0 = -2x + 3 add 2x to both sides
2x = 3 divide both sides by 2
x = 1.5
Therefore your answer is C or D (look at the picture)
If f(x) = 10 + 50x, solve for x when f(x) = 310.
x = 6
given f(x) = 310, we obtain the equation
10 + 50x = 310 ( subtract 10 from both sides )
50x = 300 ( divide both sides by 50 )
x = [tex]\frac{300}{50}[/tex] = 6
What happens to ice as it melts
Ice will turn to water. When ice is frozen, the particles are compact and slow. Once the ice heats up, the particles will become less compact and move faster.
Which points are on the graph of the function rule ƒ(x) = 10 – 4x? ( –18, 2), ( –10, 0), ( –2, –2) (18, –2), (10, 0), (2, 2) (–2, 18), (0, 10), (2, 2) (2, –18), (0, –10), ( –2, –2)
(2, 2 ), (- 2, 18 ), (0, 10 )
substitute the x-coordinate of each point into f(x) and if the value is equal to the y-coordinate then it is on the graph of f(x)
(- 18, 2 ) ⇒ y = 10 + 72= 82 ≠ 2
(- 10, 0 ) ⇔ y = 10 + 40 = 50 ≠ 0
(- 2, - 2 )⇒ y = 10 + 8 = 18 ≠ 2
(18, - 2 ) ⇒ y = 10 - 72 = - 62 ≠ - 2
(2, 2 ) ⇒ y = 10 - 8 = 2 ⇒ (2, 2 ) is on graph
(- 2, 18 ) ⇒ y = 10 + 8 = 18 ⇒ (- 2, 18 ) is on graph
(0, 10 )⇒ y = 10 - 0 = 10 ⇒ (0, 10 ) is on graph
(2, - 18 ) ⇒ y = 10 - 8 ≠ - 18
Identifying the strengths of a hero shows which character trait?
Question 1 options:
Leadership
Courage
Gratitude
Courage.
Heros often take risks, you must have courage to take risks.
Answer:
Courage
Step-by-step explanation:
Hero has some special characteristics which makes him hero
one of those characteristics of a hero is that a hero always shows courage and never fall down or run out from the situations instead he faces all the challenges with courage and never pocks down even in tricky situations.
a hero is that which helps the other when they need him in any situation or at any mode of life.a real hero does not care for his life .To save others he put his life in danger and shows courage.
all these qualities make a person a real hero.
there are 4 planets. the first planet has an orbit of 3 years. The second planet has an orbit of 5 years. The third planet has an orbit of 8 years. The fourth planet has an orbit of 12 years. if there in conjunction how long till they're in conjunction again? math problem answer
Find the LCM of the four numbers (3, 5, 8, 12)
3: 3
5: 5
8: 2 * 2 * 2
12: 2 * 2 * 3
LCM = 2 * 2 * 2 * 3 * 5
= 120
Answer: 120 years
Final answer:
The planets will be in conjunction again after 15 years.
Explanation:
To determine when the planets will be in conjunction again, we need to find the least common multiple (LCM) of their orbital periods.
The orbital periods of the four planets are: 3 years, 5 years, 8 years, and 12 years.
To find the LCM, we can list the multiples of each of the numbers and identify the smallest number that appears in each list.
The multiples of 3 are: 3, 6, 9, 12, 15, ...
The multiples of 5 are: 5, 10, 15, 20, 25, ...
The multiples of 8 are: 8, 16, 24, 32, ...
The multiples of 12 are: 12, 24, 36, ...
The smallest number that appears in all lists is 15, so the planets will be in conjunction again after 15 years.
Can someone please give me the answer to these questions ?
Not for just 5 points...
1.There are 167960 different ways the list of starting players could be formed.
2. The number of ways to write the batting order is 362880.
3. 42,758,676 different ways the group of interviewees can be made.
4. The total number of ways the students can win first, second, or third place is 144 ways.
5. The total number of different answer keys possible is 4096 ways.
1. **Varsity Baseball Team:**
There are 20 students on the team, and 9 will be chosen for the starting lineup. The number of ways to choose 9 out of 20 students is calculated by the binomial coefficient formula, also known as "20 choose 9":
[tex]\[ \binom{20}{9} = \frac{20!}{9!(20-9)!} = 167960. \][/tex]
2. **Batting Order:**
Once the starting lineup is selected, there are 9 players. The first position can be any of the 9 players, the second position can be any of the remaining 8 players, and so on. So, the number of ways to write the batting order is [tex]\(9! = 362880\) (9 factorial).[/tex]
3. **Jury Duty:**
There are 42 citizens, and 11 need to be chosen. The number of ways to choose 11 out of 42 is given by the binomial coefficient [tex]\(\binom{42}{11} = \frac{42!}{11!(42-11)!}\).[/tex] Calculating this gives [tex]\(42,758,676\)[/tex] different ways the group of interviewees can be made.
4. **Spelling Bee:**
There are 24 students competing for first, second, and third place. For the first place, there are 24 choices, for the second place, there are 23 choices (as one student has already won the first place), and for the third place, there are 22 choices left. So, the total number of ways the students can win first, second, or third place is [tex]\(24 \times 23 \times 22 = 12,144\)[/tex] ways.
5. **Multiple Choice Test:**
Each of the 6 questions has 4 possible answers. For each question, there are 4 choices. Since there are 6 questions, the total number of different answer keys possible is [tex]\(4^6 = 4096\)[/tex] ways.
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How do you multiply 3/10x8/9=
Hello!
[tex]\frac{3}{10}*\frac{8}{9}[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓
First you had to multiply by the fractions.
[tex]\frac{3*8}{10*9}[/tex]
Then you can multiply by the numbers.
[tex]\frac{24}{10*9}[/tex]
Next you can also multiply by the numbers again.
[tex]\frac{24}{90}[/tex]
You can also can the common factor of 6.
[tex]\frac{4}{15}[/tex]
Answer⇒⇒⇒⇒⇒4/15
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Jackson drinks 0.44 liters of water, which was 55% of the water in the bottle. How much water was in the bottle to start?
Answer:
He had 0.8 liters to start with...
Step-by-step explanation:
0.44 is 55% of what? (what = x)
Equation: Y = P% * X
X = Y/P%
X = 0.44/55%
55% = 0.55
X = 0.44/0.55
X = 0.8
Answer:
ans is 0.8 liters
Step-by-step explanation:
Jackson drinks 0.44 liters of water, which was 55% of the water in the bottle.
Let X be the volume of water in the bottle to start.
55% of X = 0.44L
X = 0.44/55% = 0.44/55*100=44/55=4/5=0.8 liters
Six times a number is greater than 20 more than that number what are the possible values of that number
Let n = the unknown number.
Six times a number = 6 * n = 6n
20 more than number = n + 20
Greater than = >
Put it all together:
6n > n + 20
Subtract n from both sides to get constants on one side and variables on the other:
6n - n > 20
5n > 20
Divide both sides by 5 to isolate variable N
n > 4
or (4, ∞)
D(1) = 13 d(n) = d(n-1) + 17 find the 4th term
d(4) = 64
substitute n = 2, 3, 4 into d(n) = d(n - 1) + 17
d(2) = d(1) + 17 = 13 + 17 = 30
d(3) = d(2) + 17 = 30 + 17 = 47
d(4) = d(3) + 17 = 47 + 17 = 64
$2.70. Calculate the cost of a movie ticket in 1995, using the Consumer Price Index of 82.4 in 1980 and 152.4 in 1995
If it's $2.70 now, the cost would be $4.45 in 1995.
To find the 1995 cost of a movie ticket that was $2.70 in 1980, divide the 1995 CPI by the 1980 CPI and multiply by the 1980 price. The calculation yields a cost of approximately $4.99 for a movie ticket in 1995.
Explanation:To calculate the cost of a movie ticket in 1995 using the Consumer Price Index (CPI) from 1980 to 1995, we can use the formula to adjust prices based on inflation:
Determine the ratio of the CPI in 1995 to the CPI in 1980.Apply this ratio to the cost of the item in 1980 to find the equivalent cost in 1995.Let's assume the cost of a movie ticket in 1980 was $2.70. The CPI for 1980 is 82.4, and for 1995 it is 152.4. We calculate the ratio as 152.4 / 82.4 = 1.8495.
Multiplying the 1980 ticket price by this ratio gives us:
$2.70 * 1.8495 = $4.99 approximately.
Therefore, the cost of a movie ticket in 1995, adjusted for inflation, would be about $4.99.
What is the solution to this equation? x + 13 = 34
Answer:
x=21
Step-by-step explanation:
Hello
The solution to the equation is the numerical values of the letters for which equality is true.
To find the value of x , you have to isolate x. to do this, you pass the 13 that is positive number to the other side of the equation,When you pass a positive number to the other side of the equation it passes as negative number.
x+13=34
x=34-13
x=21
Have a great day
Amy was soaking her poor feet! Together Amy,Marcus,and Carrie walked a total of 15 miles in the Wilbur School Walkathon. Marcus walked twice as far as Carrie,and Amy walked 3 times as far as Carrie. How many miles did Amy,Marcus and Carrie each walk?
First, model it out in an equation, and lets say x is the amount carrie walked
x+2x+3x=15
Then, combine like terms
6x=15
then divide
2.5
So now we have carries walk speed, then we go by the question, multiply 3 by 2.5 for amy, and 2 by 2.5 for marcus
carrie walked 2.5 miles
marcus walked 5 miles
amy walked 7.5
To find out how many miles Amy, Marcus, and Carrie each walked, algebra is used. Carrie walked 2.5 miles, Marcus walked twice as much (5 miles), and Amy walked three times as much as Carrie (7.5 miles), totaling 15 miles.
The student is asking how many miles Amy, Marcus, and Carrie each walked if together they walked a total of 15 miles in the Wilbur School Walkathon, with Marcus walking twice as far as Carrie, and Amy walking three times as far as Carrie. To solve this problem, we can use algebra. Let's denote the number of miles Carrie walked as c. According to the problem, Marcus walked twice as far as Carrie, so Marcus walked 2c miles. Amy walked three times as far as Carrie, therefore Amy walked 3c miles.
Total distance walked by all three together is 15 miles.
Carrie walked c miles.
Marcus walked 2c miles.
Amy walked 3c miles.
The sum of their distances is equal to the total distance, so we can write the equation c + 2c + 3c = 15. When we add up the left side, we get 6c = 15. To find out how many miles Carrie walked, we divide both sides of the equation by 6, resulting in c = 15 / 6, which simplifies to c = 2.5. Carrie walked 2.5 miles.
Since Marcus walked twice as much, Marcus walked 5 miles (2 times 2.5). And since Amy walked three times as much as Carrie, Amy walked 7.5 miles (3 times 2.5).
the city council wants the location of the entrance to a new city park to be determined by the reflection of the school entrance across the y-axis what are the coordinates of the entrance to the new city park on this map your answer should be (_,_) formed like that *this is 6th grade math btw* so don't think to far
The coordinates of the entrance to the new city park on this map should be (-5, -3).
What is a reflection over the y-axis?In Mathematics and Geometry, a reflection over or across the y-axis or the line y = 0 is represented by this transformation rule .
This ultimately implies that, a reflection over or across the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the y-axis to the coordinates of the point for the school entrance (5, -3), we have the following coordinates of its image;
(x, y) → (-x, y)
(5, -3) → (-5, -3)
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Mr.Walden wrote the expression p^-5/q^0. He asked his students to write an equivalent expression of p^-5/q^0 simplified form. Four students wrote these expressions. Isaac q^0/p^-5 Rosa p^-5+p^0 Bruce p^5q^0 Brianna 1/p^5q^0 Which student is correct? Isaac Rosa Bruce Brianna
The correct option is Brianna's equation [tex]\dfrac{1}{p^5q^0}[/tex].
To find the correct simplification of given expression we have to apply negative exponent rule.
Given:
The given expression is [tex]\dfrac{p^{-5}}{q^0}[/tex].
What is negative exponent rule?The negative exponent can be change in to positive by writing same in denominator and 1 in numerator.
Simplify the given expression.
[tex]\dfrac{p^{-5}}{q^0}=\dfrac{1}{p^5q^0}[/tex]
Thus, the correct option is Brianna's equation [tex]\dfrac{1}{p^5q^0}[/tex].
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The weight og Darrin's phone is 3.405 ounces. What is 3.405 written in expanded form?
A. 3×1+4×1/10+5×1/1,000
B.3×10+4×1/10+5×1×1/1,000
C.3×10+ 4× 1/10+5× 100
D.3× 1+4× 1/100+5× 1/1,000
The correct way to write the number 3.405 in expanded form is 3×1 + 4×1/10 + 5×1/1,000.
Explanation:The weight of Darrin's phone is given as 3.405 ounces. You are asked to write this decimal number in expanded form. The concept of expanded form is a way to break down numbers to show how each digit in a number has a value based on its position or place. In the case of 3.405, the 3 is in the ones place, the 4 is in the tenths place, and the 5 is in the thousandths place. As such, when we expand the number, we multiply each digit by the place it represents: 3×1 + 4×1/10 + 5×1/1,000 , option A is the correct one for representing the number 3.405 in expanded form.
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You have a shelf that holds 25 1/2 pounds. How many 1 1/4 pound books can the shelf hold? Explain your response
Answer:
20 2/5
Step-by-step explanation:
25 1/2
1 1/4
1 1/4 times 4 is 5
5 times 5 is 25