Answer:
1<y≤8
Step-by-step explanation:
step 1
The number is y and it is greater than one.
The sign for greater than in mathematics is '>'
Therefore, we can write
y>1
And it means 1 is less than y
Less than = <
1<y
Step 2
y is less than or equal to 8. In mathematics, the 'less than or equal to' sign is '≤'
Therefore, we can write
y≤8
Step 3
We then combine these two inequalities
1<y≤8
Final answer:
The inequality 1 < y ≤ 8 represents a number y that is greater than 1 and less than or equal to 8.
Explanation:
An inequality representing the statement 'A number y is greater than 1 and is less than or equal to 8' can be expressed as:
1 < y ≤ 8
This inequality signifies that y is greater than 1 (1 < y) and at the same time, less than or equal to 8 (y ≤ 8), fulfilling both conditions simultaneously.
Which equation is true for x = –6 and x = 2?
A.2x^2 – 16x + 12 = 0
B.2x^2 + 8x – 24 = 0
C.3x^2 – 4x – 12 = 0
D.3x^2 + 12x + 36 = 0
Answer: [tex]x^{2} +4x - 12 = 0[/tex]
Step-by-step explanation:
To find the quadratic equation when the roots are given , we will use the formula:
[tex]x^{2} -[/tex] sum of roots[tex](x)[/tex] + product of roots = 0
sum of roots = -6 + 2 = -4
product of roots = -6(2) = -12
substituting into the formula, we have
[tex]x^{2} - (-4) +(-12) = 0[/tex]
[tex]x^{2} +4x - 12 = 0[/tex]
what is z=77674844/085447
Answer:
909.041207??
Step-by-step explanation:
Which table represents a linear function?
Answer:
What is the tables?
Step-by-step explanation:
find the acute angle formed by line 2y=x+1
Answer:
26.57°
Step-by-step explanation:
[tex]2y = x + 1 \\ y = \frac{1}{2} x + 1 \\ equating \: it \: with \\ y = mx + b \\ slope \: m = \frac{1}{2} \\ \because \: \tan \theta = m \\ \therefore \: \tan \theta = \frac{1}{2} = 0.5 \\ \therefore \: \theta = {tan}^{ - 1} (0.5) \\\therefore \: \theta = {tan}^{ - 1} ( \tan \: 26.565051177 \degree) \: \\ \\ \huge \red{ \boxed{\therefore \: \theta = 26.57 \degree}}[/tex]
If XZ = 7x+1 and PZ = 4x-1, what is XP? ( imagine shown below please help)
Answer:
option A. 11 units
Step-by-step explanation:
we know that
The figure show a parallelogram
In a parallelogram the diagonals bisect each other
so
[tex]PZ=\frac{1}{2}XZ[/tex]
[tex]XP=PZ[/tex]
substitute the given values
[tex]4x-1=\frac{1}{2}(7x+1)[/tex]
solve for x
[tex]8x-2=7x+1\\8x-7x=1+2\\x=3[/tex]
Find the value of PZ
[tex]PZ=4x-1[/tex]
substitute the value of x
[tex]PZ=4(3)-1=11\ units[/tex]
therefore
[tex]XP=PZ=11\ units[/tex]
On a 2,000 calorie diet, how many calories would come from VEGGIES? *
35% veggies
15% fruit
25% carbs
25% protein
|6m−2|=0 please help
Answer:
m = 1/3
Step-by-step explanation:
Answer: m = 1/3
Step-by-step explanation: Lets solve the equation |6m - 2| = 0.
|6m - 2| = 0
Find absolute values of 6m - 2
-6m + 2 = 0 (Now solve both sides of the equation.)
-6m + 2 - 2 = 0 - 2
-6m = -2
-6m/-6 = -2/-6
m = 1/3
An equation whose variables are polar coordinates is called a(n) ____ equation
The length of a rectangle is three times the width. What is the perimeter of the rectangle if the width is 17 inches?
51 inches
136 inches
204 inches
68 inches
Answer:
136 Inches
Step-by-step explanation:
One side will be x. The other will be 3x.
x=17
3x=51
It is asking for 8x
8x=136
Answer:
136 inches
Step-by-step explanation:
The perimeter of a rectangle can be found using:
p=l+l+w+w
We know the width is 17, and the length is 3 times the width, which is 17
p=(17*3)+(17*3)+17+17
p=51+51+17+17
p=136
So, the perimeter is 136 inches
The data set represents the number of minutes Dan spent on his homework each night.
30, 35, 35, 45, 46, 46, 52, 55, 57
Which box plot correctly represents the data?
30 32 34 36 38 40 42 44 46 48 50 52 54 56 58
30
32 34 36
38 40 42 44 46 48 50 52 54 56 58
30 32 34 36
38 40 42 44 46 48 50 52 54 56 58
30 32 34 36
38 40 42 44 46 48 50 52 54 56 58
Answer:
The answer is A. (or the first one)
Step-by-step explanation:
It's not D because the median is 46. It is not B or C either because the IQR is 35 and the OQR is 53.5 and A is the only one that has that. Hope it helped :)
Answer:
a on ed 2020
Step-by-step explanation:
Two friends shop for fresh fruit. Elana buys a watermelon for $8.75 and 5 pounds of cherries. Taniy buys a pineapple for $4.25 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more Elana spent.
Answer: 4.50 + p
Step-by-step explanation: For this problem we will write and simplify an expression to represent how much more Elana spent.
8.75 + 5p - (4.25 + 4p) ---Distribute the negative sign to the numbers inside the parentheses.
8.75 + 5p - 4.25 - 4p ---Combine like terms
8.75 - 4.25 + 5p - 4p
4.50 + p
So, the expression 4.50 + p represents how much more Elana spent.
Final answer:
Elana spent $4.50 plus the price of 1 pound of cherries more than Taniy. The expression representing this difference is simplified to $4.50 + p.
Explanation:
To find out how much more Elana spent than Taniy, we'll write an expression representing the total amount each person spent, using p as the variable for the price per pound of cherries. Elana's total spending is the cost of the watermelon plus the cost of cherries, expressed as 8.75 + 5p. Taniy's total spending is the cost of the pineapple plus the cost of cherries, expressed as 4.25 + 4p. To find the difference in their spending, we subtract Taniy's total from Elana's total.
The expression representing how much more Elana spent is:
(8.75 + 5p) - (4.25 + 4p)
Now we simplify the expression:
8.75 + 5p - 4.25 - 4p which simplifies to 4.50 + p.
Therefore, Elana spent $4.50 plus 1 pound of cherries more than Taniy.
A "pick-6" lottery chooses 6 numbers out of the numbers from 1 to 50. How many different combinations of 6 numbers can be picked?
Select the best answer from the cholces provided.
A. 3.04 * 1064
B. 15,890,700
C. 11,441,304,000
D. 2,118,760
Suppose that an individual has a body fat percentage of 17.8% and weighs 152
pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
Answer: The individual has 27.056 pounds of body fat to be exact, and rounded to the nearest tenth is 27.1 lbs of body fat.
Perform the following operation
and express the answer in
scientific notation.
3.8 x 10^-5 : 8.1 x 10^3
[?]×10'?
Coefficient (green)
exponent (yellow)
Enter
Answer:
Step-by-step explanation:
3.8×10^{-5}:8.1×10^3
[tex]\frac{3.8 \times 10^{-5}}{8.1 \times 10^3} \\\approx4.69 \times 10^{-9}[/tex]
Performing this mathematical operation in scientific notation gives us the answer 4.691 x 10^-8.
Explanation:To solve this mathematical problem, we will first divide the coefficients and then subtract the exponents of the 10s, because we are dividing. The operation 3.8 ÷ 8.1 equals approximately 0.4691. However, we have to express the coefficient in scientific notation, so we adjust it to 4.691. At the same time, we adjust the exponent by adding 1 to it, to account for the fact that we moved the decimal one place. The operation -5 - 3 equals -8. So, the final answer is [tex]4.691 \times 10^-8.[/tex]
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If you can buy four bunches of seedless black grapes for $10, then how many can you
buy with $5?
Hope this will help u ...
• A discount movie pass costs $14. With the
pass, movie tickets cost $6 each. Fern
spent a total of $68 on the pass and movie
tickets. How many movies did he see?
Answer:
He saw 9 movies :0
Step-by-step explanation:
First, you take the total cost and subtract the one time cost from it ($68 - $14 = $54) Next, you take the $54 and divide it buy the cost of dollars per movie. ($54/$6 = 9)
So, 9 is your answer.
Hope this helps!!
Final answer:
To find the number of movies Fern saw, subtract the cost of the discount movie pass from the total amount she spent and then divide the result by the cost of each movie ticket. Fern saw 9 movies.
Explanation:
To find the number of movies Fern saw, we need to subtract the cost of the discount movie pass from the total amount she spent and then divide the result by the cost of each movie ticket.
The cost of the discount movie pass is $14, and Fern spent a total of $68. So, $68 - $14 = $54 is the amount she spent on movie tickets.
Since each movie ticket costs $6, we divide the amount she spent on movie tickets by the cost of each movie ticket: $54 ÷ $6 = 9.
Therefore, Fern saw 9 movies.
Complete the sentence using one of the following words:
anaphase, telophase, or cytokinesis.
The phase of the cell cycle in which the cytoplasm splits apart
and the cell separates into two identical daughter cells is called ..?
Answer:
cytokineses
Step-by-step explanation:
The phase of the cell cycle where the cytoplasm splits apart and the cell separates into two identical daughter cells is referred to as cytokinesis.
Explanation:The phase of the cell cycle in which the cytoplasm splits apart and the cell separates into two identical daughter cells is called cytokinesis.
Cytokinesis usually follows the other stages of the cell cycle. To put these stages in context: anaphase is the phase in which the chromosomes separate, followed by telophase, in which the separated chromosomes reach opposite ends of the cell. Cytokinesis then occurs, physically splitting the cell in two and thereby creating two identical daughter cells.
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what does y equal in this equation 5(y+2/5)=-13
The value of y in the given equation equals -3.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given equation is,
5(y + 2/5) = -13
We have to find the value of y.
Using the distributive property,
5(y + 2/5) = (5y) + (5 × 2/5)
So,
(5y) + (5 × 2/5) = -13
5y + 2 = -13
Subtracting both side by 2, we get,
5y = -13 - 2
5y = -15
Dividing both sides by 5,
y = -3
Hence the value of y is -3.
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Final answer:
To solve the equation 5(y + 2/5) = -13, you distribute the 5 across the parentheses, subtract 2 from both sides, and then divide by 5 to find that y = -3.
Explanation:
To find the value of y in the equation 5(y + 2/5) = -13, we will follow several steps to isolate y. First, we apply the distributive property of multiplication over addition, which gives us 5y + 2 = -13.
Next, we subtract 2 from both sides of the equation, obtaining 5y = -15. Finally, we divide both sides of the equation by 5 to solve for y, resulting in y = -3.
four girls have 9.00 how much will each girl get?
Answer:
they get $2.25
Step-by-step explanation:
9 divided by 4 equals
A soccer ball has a volume of 288π in3. What is the radius of the soccer ball?
Answer:
its 6
Step-by-step explanation:
A soccer ball is in the form of a Sphere.
Volume of a Sphere: V = (4/3)πr3
In this case, V = 288π cm3. So:
1) Substitute the known value into the equation: 288π = (4/3)πr3
2) Notice the π value is on either side of the equation. It cancels: 288 = (4/3)r3
3) Simplifying: r3 = 216
4) Solving for r yeilds : r = 6 cm
The radius (r) of a soccer ball with a volume of 288 cm3 is 6 cm
Answer:
its 6
Step-by-step explanation:
Your pump empties the water from a swimming pool in 8 hours. When your friend's pump is used together with your pump, the pool is emptied in 2
hours and 40 minutes. How long (in hours) does it take your friend's pump to empty the pool when working alone?
Answer:
4 Hr.
Step-by-step explanation:
Given,
Your pump alone can empties the water in = 8 hrs
With the help of friend pump it take = 2.67 hr
time taken by friends to empty the whole tank = t = ?
We have,
[tex]\dfrac{1}{8}+\dfrac{1}{t}= \dfrac{1}{2.67}[/tex]
[tex]\dfrac{1}{t}= \dfrac{1}{2.67}-\dfrac{1}{8}[/tex]
[tex]\dfrac{1}{t}=0.2499[/tex]
[tex]t = \dfrac{1}{0.2499}[/tex]
[tex]t = 4\ hrs[/tex]
Time taken to empty the tank by the friends pump alone is equal to 4 Hr.
The time taken should be 4 hours.
Calculation of the time taken:Since Your pump empties the water from a swimming pool in 8 hours. When your friend's pump is used together with your pump, the pool is emptied in 2 hours and 40 minutes.
So, here the time taken be
[tex]1\div 8 + 1\div t = 1\div 2.67\\\\1\div t = 1\div 2.67 - 1\div 8\\\\1\div t = 0.2499[/tex]
t = 4 hours
hence, The time taken should be 4 hours.
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What is the equation of the axis of symmetry of the graph of y-ax? +bx+c?
Answer:
x= -b/2a
Step-by-step explanation:
hello :
y = ax²+bx+c .... (a≠0)
the equation of the axis of symmetry of this graph is : x= -b/2a
I need help on this math problem the problem is on the attachment.
Answer:
the answer is 41
Step-by-step explanation:
90-49=41
Answer:
b is 49 because 90-41equals 49
30 points for answering
Answer:
1) d
2) f
3) a
Step-by-step explanation:
1) 6² = 36 cm²
2) ½ (pi × (6/2)²)
= 14.14 cm²
3) 36 + 4(14.14)
= 92.56 cm³
The measure of one side of a square is (x +4). What is the difference of the area of the square and the
perimeter of the square?
a. 2(x+4)
b. x(x +4)
c. 2x + 4
Answer:
b. x(x +4)
Step-by-step explanation:
The perimeter is 4 times the length of one side, so is ...
P = 4(x +4)
The area is the square of the length of one side, so is ...
A = (x +4)(x +4)
The difference in these values is ...
A - P = (x +4)(x +4) - 4(x +4)
The latter factor can be factored out to give ...
A - P = (x +4 -4)(x +4)
A - P = x(x +4) . . . matches B
K -3=1 what does k equal
Answer:
4
Step-by-step explanation:
1 + 3 = 4
On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6). Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing? (–6.5, ∞) (–5, ∞) (–∞, –5) (–∞, –6.5)
Answer:
The function is increasing in the interval (-5,∞)
Step-by-step explanation:
we have
[tex]f(x)=\frac{1}{2}x^2+5x+6[/tex]
This is a vertical parabola open upward
The vertex represent a minimum
The vertex is the point (-5,-6.5)
The domain is all real numbers
The range is the interval [-6.5,∞)
so
At the left of the x-coordinate of the vertex the function is decreasing and at the right of the x-coordinate of the vertex the function is increasing
therefore
The function is increasing in the interval (-5,∞) and the function is decreasing in the interval (-∞,-5)
Answer:
(–5, ∞)
Step-by-step explanation:
This is a vertical parabola open upward
The vertex represent a minimum
The vertex is the point (-5,-6.5)
The domain is all real numbers
The range is the interval [-6.5,∞)
so
At the left of the x-coordinate of the vertex the function is decreasing and at the right of the x-coordinate of the vertex the function is increasing
therefore
The function is increasing in the interval (-5,∞) and the function is decreasing in the interval (-∞,-5)
If my diameter is 20.6ft how would i get my radius,area,circumference?
Step-by-step explanation:
Radius is half of the diameter
Circumference is 2*pi*radius
Area is pi*radius^2
So r (radius)= 10.3
C (circumference)=64.72
and A (area)=333.29
feel free to ask more questions :)
Step-by-step explanation:
Diameter = 20.6
[tex]radius = \frac{diameter}{ = 2} = \frac{20.6}{2} = 10.3 \: ft \\ \\ c = \pi \:d = 3.14 \times 20.6 = 64.68 \: ft \\ [/tex]
Chantelle has signed up for hockey. Her parents set a limit of $400 for costs for the season. It costs $250 to sign up and $5 for each ice-time. What is the maximum number of ice-times that Chantelle can go?
Answer:
30 times
Step-by-step explanation:
$400 minus $250=$150
$150 divided by $5=30 so she can go 30 times
x - 1 + - 12x + 10 plz help im really confused
-11x+9 is the answer
Answer:
[tex]x - 1 + ( - 12x) + 10 \\ x - 1 - 12x + 10 \\ x - 12x - 1 + 10 \\ = - 11x + 9[/tex]