Answers
➷ 3) It would be option D as x is larger than 12 but not equal to it (hence the circle is not filled in)
4) It would be option C as x is smaller then -15 and can be equal to it (hence the circle is filled in)
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3) D
x > 12 (x is bigger than 12)
4) C
[tex]x \leqslant - 15[/tex]
(x is equal to, or is smaller than -15)
Related Questions
how many times does 7 go into 40
Answers
Answer:57.1
If that helps you
Step-by-step explanation:
Answer:
7 cant go into 40 evenly, it would be 5.7 times if we were just to do 40 divided by 7 . . . .
so i guess (even though its not a even number ) your answer is 5.7
40/7 = 5.71
Simplify.
Rewrite the expression in the form k • x^n
(4x)^2
Answers
[tex] {(4x)}^{2} = 16 \times {x}^{2} [/tex]
There ya go.
The expression can be rewritten as 16x^2.
How to rewrite an expression?An expression can be rewritten by opening brackets, completing squares, reducing terms from it, etc.
We can rewrite the given expression as follows:The given expression is (4x)^2.
We can open the bracket of the given expression.
(4x)^2 = 16x^2
We have rewritten the expression. This expression is in the form of k • x^n.
Therefore, we have rewritten the given expression (4x)^2 as 16x^2.
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the table shows cara's scores for 5 rounds of golf. If cara wants an average score of 73, what should her scores be on 6th round she plays?
Answers
Answer:
63
Step-by-step explanation:
80+69+78+73+75+63= 438
438/6 = 73
Hope this helps you! :)
In the fifth grade there are 4/5 as many students who do not have glasses as those who do wear glasses if there are 60 students who wear glasses how many students are there in fifth grade
Answers
Answer:
300 students
Step-by-step explanation:
Since 4/5 of students do not wear glasses, 1/5 of students do.
There are 60 students who wear glasses, so let 'x' represent the number of students who wear glasses
(1/5)x = 60 is our equation. "One-fifth of the number of students who wear glasses is 60"
Now solve for x
(1/5)x = 60
x = 300 (multiply both sides by 5 to get rid of the fraction)
HELP PLS!
Factor each completely. *Hint: Check for perfect square trinomials, difference of squares, and quadratic trinomials.
1) k^2+2k-24
2) 4k^2-1
3) 25b^2-30b+9
Answers
[tex]1) \: {k}^{2} + 2k - 24 \\ = {k}^{2} + 6k - 4k - 24 \\ = k(k + 6) - 4(k + 6) \\ = (k - 4)(k + 6) \\ \\ 2) \: 4 {k}^{2} - 1 \\ = (2k - 1)(2k + 1) \\ \\ 3) \: 25 {b}^{2} - 30b + 9 \\ = {(5b - 3)}^{2} [/tex]
kristy ran 24 laps in chairity run and then walked 0.2 kilometer to the presentation table. The total distance Kristy traveled was 29.6 kilometers. What was the distance of each lap? Explain how you solved the problem.
Answers
total distance of 24 laps
29.6km - 0.2km
=29.4km
total distance of each lap
24 laps = 29.4km
1 lap = ?
Use cross-multiple
24 laps × X = 29.4km × 1 lap
X = 29.4km / 24
X = 1.225km
Answer
1.225km
Answer:
1.225km is equal to each laps
Step-by-step explanation:
Since Kristy total distance traveled = 29.6km
And Kristy ran 24 laps and later walk 0.2km. it simply implies that
Total distance traveled = distance covered running + distance covered walking
Since we know that
Total distance traveled = 29.6km
distance covered running = 24 laps
distance covered walking = 0.2km
Distance covered running in km = total distance traveled - distance covered walking
Distance covered running in km = 29.6km - 0.2km = 29.4km.
To now find the distance for each lap.
Since we have:
Distance covered running in km = 29.4km.
Distance covered running in lap = 24 laps
i.e
24 laps = 29.4km
1 lap = x
Use cross-multiple
24 laps * x = 29.4km × 1 lap
x = 29.4km / 24
x = 1.225km
Therefore
1.225km is equal to each laps.
What are the solution(s) to the quadratic equation 40 − x2 = 0? x = ±2 x = ±4 x = ±2 x = ±4
Answers
Answer: [tex]x=\±2\sqrt{10}[/tex]
Step-by-step explanation:
To find the solutions of the quadratic equation given in the problem, you can apply the proccedure shown below:
- Subtract 40 from both sides of the equation.
- Multiply both sides of the equation by -1
- Apply square root to both sides of the equation.
Therefore, by applyin the steps above, you obtain:
[tex]40-x^2-40=0-40\\-x^2=-40\\(-1)(-x^2)=(-40)(-1)\\\\x^2=40\\\\\sqrt{x^2}=\±\sqrt{40}\\\\x=\±2\sqrt{10}[/tex]
Answer:
= ±2√10
Step-by-step explanation:
40 − x2 = 0
We could solve this by;
subtracting x² from both sides
we get;
40 = x²
Then we get the square root on both sides;
√x² = √40 ; but the square root of a positive number "a" is +√a or -√a
Therefore;
√x² = ± √40
x = ±√40
√40 = √4√10
= 2√10
Thus;
x = ±2√10
Write 5 √ 4 using rational exponents.
Answers
To express 5 √ 4 using rational exponents, you write it as 5¹ × 4¹⁄₂, as the square root of a number is that number raised to the power of ½.
Explanation:To write 5 √ 4 using rational exponents, we must express the square root of 4 as a power. From our mathematical rules, we know that a square root can be written as an exponent of ½. Therefore, √4 is equivalent to 4 to the ½ power (4¹⁄₂).
Considering the expression 5 √ 4, we apply the same concept. The 5 is actually 5 to the power of 1 (5¹), and the square root of 4 is 4 to the ½ power. When these are multiplied together, we combine the base of 5 with the exponent expressions, remembering that the 4¹⁄₂ needs to be multiplied by 5¹. Consequently, 5 √ 4 becomes 5¹ × 4¹⁄₂.
The expression 5√4 can be written using rational exponents as 5 * [tex]4^{1/2}[/tex].
To express the given expression 5√4 using rational exponents, we start by understanding what the square root represents in exponential form. The square root of a number x can be written as [tex]x^{1/2}[/tex]. For our given expression, we need to follow these steps:
Rewrite the square root in exponential form. Since √4 is the same as [tex]4^{1/2}[/tex], we can replace √4 with [tex]4^{1/2}[/tex].Combine this with the provided factor of 5, giving us 5 *[tex]4^{1/2}[/tex].Therefore, the expression 5√4 can be written as 5 * [tex]4^{1/2}[/tex] using rational exponents.
What Is The Missing. Angle Measure Of This Isosceles Triangle
Answers
75+75=150
180-150=30
your missing angle is 30 degrees
The amount Lin's sister earns at her part-time job is proportional to the number of hours she works. She earns $9.60 per hour. Is y a function of X. Write an equation describing x as a function of y
Answers
Using proportional relationships, it is found that:
y is a function of x, given by [tex]y = 9.6x[/tex].x as a function of y is given by [tex]x = \frac{9.6}{x}[/tex]What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
[tex]y = kx[/tex]
k is the constant of proportionality.
In this problem, considering:
x as the number of hours she works. y as her earnings.Lin's sister earns $9.60 per hour.Hence, y is a function of x, given by:
[tex]y = 9.6x[/tex]
Also, we can write x as a function of y, as follows:
[tex]x = \frac{y}{9.6}[/tex]
You can learn more about proportional relationships at https://brainly.com/question/25067191
Yes, y is a function of x as earnings are proportional to hours worked. The equation describing x as a function of y is x = y/9.60, since Lin's sister earns $9.60 per hour.
The problem states that the amount Lin's sister earns at her part-time job is proportional to the number of hours she works, and she earns $9.60 per hour. To answer the question whether y is a function of x, yes, y is indeed a function of x because for each value of x (number of hours worked), there is exactly one value of y (the earnings).
To write the equation describing x as a function of y, we start with the standard form of the equation for a direct proportion: y = kx, where k is the constant of proportionality. In this case, k is $9.60 per hour. So, the equation would normally be written as y = 9.60x. However, the question asks for x as a function of y. Therefore, we need to rearrange the equation to solve for x: x = y/9.60.
PLEASE HELP ME ILL MARK AS BRAINLIEST
Answers
0.05 ---> 1/18
square root of 0.25 ------> 0.05
1/7------> 0.142857 repeating
0.6 -------> 2/3
Answer:
0.05 ---> 1/18
1/7 ---> 0.142857
0.6 ---> 2/3
0.25 ---> 0.05
Step-by-step explanation:
PLEASE HELP FAST
1. Sketch, in black, the graph of the line passing through the points (2, 2) and (5, 8). 2. Sketch, in blue, the graph of the line passing through (10, 5) and with slope -3.
Answers
➷ 1) You have to find the equation of the line first:
y = mx + c
First find the slope
slope = difference in y / difference in x
slope = 6/3
slope = 2
Substitute this into the equation, as well as one of the coordinates
2 = 2(2) + c
Subtract 4 from both sides
c = -2
The equation of the line is y = 2x - 2
I will attach the drawn graph (it won't be in blue but just note that the first graph is the first one)
2) Substitute the values into the equation:
5 = -3(10) + c
c = 35
The equation is y = -3x + 35
I will attach the graph (it will be the second one)
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➶ Good Luck (:
➶ Have A Great Day ^-^
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What is the slope of a line with points at (-5,2) (4,-7)?
Answers
Answer:
-1
Step-by-step explanation:
To find the slope of a line, you would need to use the slope formula, and that is [tex]slope=\frac{y2-y1 }{x2-x1}[/tex]
This equation should be used every time you need to find a slope with two given points. If you remember this, you would find questions like this more easy.
First, you would need to plug in your coordinate points into the formula.
You would plug -7 in y2, 2 in y1. And then you will plug in 4 in x2, and -5 in x1.
Your equation should look like this:
[tex]\frac{-7-2}{4-(-5)}[/tex]
Then you solve.
For the top portion of your equation you would get -9. The -5 turns into a positive 5 because when you carry the negative over (distribute it), the negative cancels out and turns into a positive. When you add the 5 and the 4 together, it will get you 9. The bottom portion of the equation will be 9.
Your equation should now look like this:
[tex]\frac{-9}{9}[/tex]
Now, you divide.
When you divide, the two 9's end up as a whole, and you keep the negative since the negative doesn't cancel out in this situation. When you finish dividing, you would get -1.
Your FINAL answer would be -1.
Answer:
-1
Step-by-step explanation:
Slope formula:
↓
[tex]{\huge\frac{Y_2-Y_1}{X_2-X_1}[/tex]
[tex]\frac{(-7)-2}{4-(-5)}=\frac{-9}{9}=-1[/tex]
Therefore the slope is -1.
-1 is the correct answer.
I hope this helps you, and have a wonderful day!
Rectangle ABCD has a perimeter of 32 units and will be rotated about line k.
Answers
Answer:
the first one is (cylinder) and second one is (6 units)
The radius of base is, 5 units
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Since, it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created it is a cylinder. As you can see below.
Hence, Let's calculate its radius, based on the information given, i.e. the perimeter as,
2p = 32
Since, We know that;
2p = b + b + h + h
2p = 2 (b + h)
2 (b + h) = 32
b + h = 16
And, bh = 60
This gives solutions,
b = 10 and h = 6
Since, the line of rotation is the center, and the radius is half the line segment of the basis,
Then, The radius is 5.
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Complete question is this,
Rectangle ABCD has a perimeter of 32 units and will
be rotated about line k.
What is the three-dimensional solid created?
cylinder
What is the radius of a base?
10 units
a movie complex is showing the same movie in three theaters. In theater A, 112 of the 160 seats are filled. In theater B, 84 seats are filled and 56 seats are empty. In theater C, 63 of the 180 seats are empty. Which theater has the greater percent of its seats filled.
Answers
112/160 x 100 = 70%
theater B has 140 seats in total
84/140 x 100 = 60%
theater C has 180 seats in total and 117 of them are filled (180-63 = 117)
117/180 x 100 = 65%
Answer: Theater A has the greatest percent of seats filled, at 70%
Step-by-step explanation:
To find out which theater has the greatest percent of its seats filled, we need to calculate the percentage of seats filled in each theater. We can use the following formula to calculate percentage:
Percentage = (Part / Whole) x 100
For theater A, we have 112 seats filled out of 160 total seats: Percentage for theater A = (112 / 160) x 100 = 70%
For theater B, we have 84 seats filled out of 140 total seats: Percentage for theater B = (84 / 140) x 100 = 60%
For theater C, we have 117 seats filled out of 180 total seats: Percentage for theater C = (63 / 180) x 100 = 35% (Note that we need to subtract 63 empty seats from the total seats to get the total filled seats in theater C)
Therefore, theater A has the greatest percent of its seats filled, at 70%.
3.....simplifyyyyyyyyy
Answers
Answer:
Step-by-step explanation:
Using law of indies;
√Xᵃ = Xᵃ/²
√(0.08¹²) = (0.08¹²ˣ¹/²)
= 0.08⁶
The correct answer is A; (0.08)⁶
For this case we must simplify the following expression:
[tex](\sqrt {0.08 ^ {12}}[/tex]
By definition of properties of powers and roots we have:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
So, we can rewrite the given expression as:
[tex]0.08 ^ {\frac {12} {2}} =\\(0.08) ^ 6[/tex]
Answer:
[tex](0.08) ^ 6[/tex]
Option A
Please help with this i will give you 25 points please(click the picture)
A:$339
B:$329
C:$319
D:$309
Answers
Answer:
B. $329
Step-by-step explanation:
Add up the total amount of burgers sold (which is 47) and multiply by $5 to get 235$.
Then add up the amount of hot dogs (which is also 47) and multiply by $2 to get $94.
Then add $235 and $94 to get $329.
Find the the angles of CBD
Answers
Answer:
125 degrees.
Step-by-step explanation:
m < CBD = m < A + m < C ( by the External Angle of a Triangle theorem).
= 58 + 67 = 125 degrees.
Answer:
125°Step-by-step explanation:
We know that ∠CBD = ∠ACB + ∠CAB [ External Angle of a Triangle theorem]
∠CBD = 58° + 67° = 125°
Which ordered pair is a solution of y = x + 4?
A (0,0)
B (5,54)
C (7,28)
D (9,13)
Answers
Answer:
D (9,13)
Step-by-step explanation:
Substitute the points into the equation
y =x+4
A (0,0)
0=0+4
0=4 False This point is not a solution
B (5,54)
54 = 4+4
54=8 False This point is not a solution
C (7,28)
28 = 7+4
28 = 11 False This point is not a solution
D (9,13)
13 = 9+4
13=13 True This point is a solution
Answer:
plug in 13 for y you get x = 9 D(9,13)
Meagan bought 6 kilograms of dried blue berries of $27.which of the following is an equivalent rate?
Answers
Step-by-step explanation:
Don't see an answer but
You can divide the dollar amount by the kilograms and it should be 4.5, anything that isn't is incorrect.
for example 27/6 is 4.5
28/4 is 7 and therefore not equivalent.
A tree casts a shadow 9 meters long. At the same time, a building 54 meters tall casts a shadow 21 meters long. To the nearest meter, what is the height of the tree?
THanks!!!!
Answers
Answer:
G.) 23 meters
Step-by-step explanation:
makeing it into a proportion would be the easiest -
9/x = 21/54
21x = 486
/21 /21
x = 23.14
rounded out would be x = 23 meters
hope this helps!!
The height of the tree is 23 meters
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Let the height of the tree as 'x'.
The proportion can be set up as:
(height of the tree) / (length of the tree's shadow) = (height of the building) / (length of the building's shadow)
Plugging in the given values:
x / 9 = 54 / 21
To solve for x, we can cross-multiply:
21x = 54×9
21x = 486
Dividing both sides by 21:
x = 486 / 21
= 23.143
Hence, the height of the tree is 23 meters.
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A first number plus twice a second number is 13. Twice the first number plus the second totals 14. find the numbers
Answers
Answer:
the first number is 5 the second number is 4
Step-by-step explanation:
first number = x
second number = y
X+2y=13 given this isolate x x = 13-2y
2x+y=14 substitute 13-2y for x
2(13-2y)+y=14
26-4y+y=14
-3y=-12
y=4 taking this number substitute into either equation above
x+2(4)=13
x+8=13
x=5
Area (the space inside a plane figure, Like a triangle or Circle) is measured using ___________ units
Answers
Answer:
m2 or inch2 or pulg2
Step-by-step explanation:
Answer: square units
Step-by-step explanation: when you hear of a shape area like 26 square feet or units
Alex, Gil and Meg shared 740 cards. Alex had 20 fewer cards than Gil and 120 fewer cards than Meg. How many cards did Alex have?
PLEASE DRAW
HELP ME
Answers
Alex have 200 cards.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
According to the question
Alex, Gil and Meg shared 740 cards.
Alex had 20 fewer cards than Gil and 120 fewer cards than Meg.
Assuming Alex have x cards
Based on the given condition, write equation
[tex]x+(x+20)+(x+120)=740[/tex]
Solving the equation
[tex]3x =740-20-120[/tex]
[tex]3x=600[/tex]
[tex]x=200[/tex]
Hence, Alex have 200 cards.
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Alex had 193 cards. Meg had 120 more, Gil 20 more than Alex, for a total of 740 shared.
Let x be the number of cards Gil had.
Alex had x - 20 cards.
Meg had x + 120 cards.
The total number of cards is x + (x - 20) + (x + 120) = 740.
Combining like terms, we get 3x + 100 = 740.
Subtracting 100 from both sides, we get 3x = 640.
Dividing both sides by 3, we get x = 213.33.
Since the number of cards must be a whole number, we can round 213.33 down to 213.
Therefore, Alex had 213 - 20 = 193 cards.
So the answer is 193
Perform the indicated operations; reduce the answer to lowest terms. a. 3⁄10 + 6⁄10 b. 1⁄3 + 1⁄4 + 1⁄6 c. 5⁄6 – 3⁄6 d. 2⁄3 – 6⁄10 e. 4⁄10 × 3⁄7 f. 1⁄6 × 6⁄15 g. 1⁄8 ÷ 4⁄9 h. 1⁄5 ÷ 3⁄4
Answers
Answer:
a. 9/10
b. 3/4
c. 1/3
d. 1/15
e. 6/35
f. 1/15
g. 9/32
h. 4/15
Step-by-step explanation:
a. [tex]\frac{3}{10} + \frac{6}{10} = \frac{30+60}{100} = \frac{90}{100} = \frac{9}{10}[/tex]
b. [tex]\frac{1}{3} + \frac{1}{4}+\frac{1}{6} = \frac{9}{12} = \frac{3}{4}[/tex]
c. [tex]\frac{5}{6} - \frac{3}{6} = \frac{2}{6} = \frac{1}{3}[/tex]
d. [tex]\frac{2}{3} - \frac{6}{10} = \frac{20-18}{30} = \frac{2}{30} = \frac{1}{15}[/tex]
e. [tex]\frac{4}{10}*\frac{3}{7} = \frac{4*3}{10*7} = \frac{12}{70} = \frac{6}{35}[/tex]
f. [tex]\frac{1}{6}*\frac{6}{15} = \frac{1*6}{6*15} = \frac{6}{90} = \frac{1}{15}[/tex]
g. [tex]\frac{\frac{1}{8}}{\frac{4}{9} } =\frac{9*1}{8*4} = \frac{9}{32}[/tex]
h. [tex]\frac{\frac{1}{5}}{\frac{3}{4} } =\frac{4*1}{5*3} = \frac{4}{15}[/tex]
Sorry I’m very bad in math I need help please
Answers
Answer:
d
Step-by-step explanation:
an x without anything in front of it is 1x you can only mix like terms so 8x+1x+1x=10x - 2y
HELP PLEASE. When finding the surface area of a composite figure, why is it often necessary to subtract sides common to each individual shape? Complete the explanation.
Identifiable shapes that are easy to find the (volume/surface area) of in composite figures will often have portions that overlap with each other. After finding the surface area of each individual shape, simply adding these surfaces areas together will result in a number (greater/less) than the real surface area. This means that after adding the surface areas of the individual shapes, it is necessary to (add/subtract) sides common to both shapes to get the true surface area.
Answers
Answer:
Surface area; Greater; subtract
Step-by-step explanation:
The complete sentence are as follow:
Identifiable shapes that are easy to find the surface area.Adding these surfaces areas together will result in a number greater than the real surface area. It is necessary to subtract sides common to both shapes to get the true surface area.What is Surface area?The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface. It's also expressed in square units.
First, the identical shapes can be recognized using Surface Area because volume is used to measure the capacity.
Now, adding the surface results to the greater surface area.
So, to find the true Surface area it is necessary to subtract the common sides.
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What is the approximate area of the shaded region?
Answers
Answer:
At = 21.5 cm2
Step-by-step explanation:
At = Asqr - Acircle
At = A1 - A2
A1 = 10^2 = 100
A2 = Pi*(5)^2 = 78.5
At = 100 - 78.5
At = 21.5 cm2
Best regards
For this case we have that by definition:
The area of a circle is: [tex]A_ {c} = \pi * r ^ 2[/tex]
Where r is the radius of the circle.
The area of a square is: [tex]A_ {s} = l ^ 2[/tex]
Where l is the side of the square.
The area of the shaded region will be:
[tex]A_ {sr} = A {s} -A_ {c}[/tex]
So:
[tex]A_ {s} = 10 * 10\\A_ {s} = 100 \ cm ^ 2[/tex]
On the other hand:
[tex]A_ {c} = \pi * (\frac {10} {2}) ^ 2\\A_ {c} = \pi * 25\\A_ {c} = 78.5375cm ^ 2[/tex]
Finally:
[tex]A_ {sr} = 100-78.5375\\A_ {sr} = 21.4625[/tex]
Rounding out, we have that the area of the shaded region is 21.5 square centimeters.
Answer:
Option D
What are the x-intercepts of the graph of the function below?
y = x2 + 3x - 28
A. (7, 0) and (4, 0)
B. (-7, 0) and (4, 0)
C. (-7, 0) and (-4, 0)
D. (7, 0) and (-4, 0)
Answers
Answer:
Correct Answer: B
Step-by-step explanation:
What is the pattern in the values as the exponents increase?
Answers
Answer:
"multiply the previous value by 3"
Step-by-step explanation:
We can easily see the pattern if we look at the 2nd, 3rd, 4th terms.
What makes 1 into 3? Of course, multiplying 1 by 3 gives us 3.What makes 3 into 9? Same, multiplying 3 by 3 gives us 9.Now, we can see 1st and 2nd terms (which wasn't that apparent for some). Does multiplying 1/3 by 3 give us 1? INDEED, it does!
So the rule is "multiplying the previous term by 3".