[tex]\dfrac{2}{7k}(k-7)\qquad|\text{use distributive property}\\\\=\left(\dfrac{2}{7k}\right)(k)-\left(\dfrac{2}{7k}\right)(7)=\dfrac{2}{7}-\dfrac{2}{k}[/tex]
what's 5÷251? could someone help me?
well 251 cannot go into 5 as a whole number because its way bigger than 5 so, it will be a decimal.
Your answer is
5/251 = 0.01992031872
Literal equations 5y-72=7+5x
Step 1. Add 72 to both sides
5y = 7 + 5x + 72
Step 2. Simplify 7 + 5x + 72 to 5x + 79
5y = 5x + 79
Step 3. Divide both sides by 5
y = 5x + 79/5
If the kite is 500 feet of string how high is it above the ground if the horizontal distance between Tyler and the kite is 300 feet
Pythagorean Theorem:
500^2 = 300^2 + x^2
250,000 = 90,000 + x^2
160,000 = x^2
x = +/- 400 use the positive root
height is 400ft
The kite is 400 feet above the ground.
To determine how high the kite is above the ground if it is 500 feet of string out and the horizontal distance between Tyler and the kite is 300 feet, we can use the Pythagorean theorem. This theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the adjacent and opposite sides).
In this scenario, imagine a right triangle where the string of the kite represents the hypotenuse, the horizontal distance from Tyler to the point directly underneath the kite represents the adjacent side, and the height of the kite above the ground represents the opposite side.
The length of the hypotenuse (the string) is given as 500 feet, and the length of the adjacent side (the horizontal distance) is 300 feet. To find the height of the kite (the opposite side), we apply the Pythagorean theorem:
[tex]\( c^2 = a^2 + b^2 \rightarrow 500^2 = 300^2 + b^2 \rightarrow 250000 = 90000 + b^2 \rightarrow \\b^2 = 250000 - 90000 \rightarrow b^2 = 160000 \rightarrow b = \sqrt{160000} \rightarrow b = 400 )[/tex]
Therefore, the height of the kite above the ground is 400 feet.
name 5 consecutive integers where the middle one is 0
-52, -37, 0, 23, 67
Any numbers would work as long as their in correct order, and 0 is the middle number. Remeber that with negatives, ordering is different!
A movie theater sold 5 times as many children's tickets as adult tickets to an afternoon shoe. If 132 tickets were sold in all, how many were children's tickets
The 132 tickets is the childrens tickets and the adult tickets together. So to find the adult tickets you subtract the childrens tickets from the full amount. To find the amount of adult tickets you would take the group of adults which is '1' and the childrens tickets which is '5' so in total six. Then you will divide 132 by six and that should be 22.
Find the product of x+4 and x²-2x-17 .
In geometry, a solid may exist in three-dimensional space. A. True B. False
In geometry, a solid may exist in three-dimensional space is a TRUE statement.
Step-by-step explanation:In geometry, a solid shape is a three-dimensional figure which has width, depth and height.
Examples of such solids are:
Pyramid,cone, cubes etc.
The study of such solid shapes is known as a solid geometry.
Hence, the statement:
In geometry, a solid may exist in three-dimensional space is a TRUE statement.
What’s the product of -3/4(-4)
The product is 3 because -3/4 * -4 is 3
Please Help <3 Please Help <3
Hey, there! For this question, we can just start by plugging in the known values. [tex](f + g)(x)[/tex] can be rewritten as [tex](\frac{x}{2} - 3 + 3x^2 + x - 6)(x)[/tex].
Combine like terms: [tex](\frac{x}{2} + x - 3 - 6 + 3x^2)(x)[/tex]
If you add x to [tex]\frac{x}{2}[/tex], x will become [tex]\frac{2x}{2}[/tex], which means that x/2 + x = 3/2x.
--> [tex](\frac{3}{2}x - 9 + 3x^2)(x)[/tex]
If you rearrange this, then your answer will be option b. Hope this helps.
f(x) = [tex]\frac{x}{2}[/tex] - 3
+ g(x) = 3x² + x - 6
f(x) + g(x) = 3x² + [tex]\frac{x}{2}[/tex] + x -3 - 6
= 3x² + [tex]\frac{3}{2}x[/tex] - 9
Answer: B
What is the equation of the graphed line written in standard form?
A. –3x + y = –4
B. y = 3x – 4
C. y + 3x = 4
D. 3x – y = 4
Answer: D. 3x – y = 4
Step-by-step explanation: Standard form of a linear equation is of the form
ax+by =c.
We are given two points on the graph (2,2) and (0,-4).
Slope of the line: m =[tex]\frac{y_2-y_1}{x_2-x_1} =\frac{-4-2}{0-2} = \frac{-6}{-2} =3[/tex].
Applying point-slope form
y-y1 = m(x-x1)
y-2 = 3(x-2)
y-2 = 3x -6
Adding 2 on both sides, we get
y-2+2 = 3x -6+2
y = 3x - 4
Subtracting 3x from both sides, we get
y -3x = 3x-3x - 4
-3x + y= -4.
Multiplying whole equation by -1, we get
3x -y =4.Therefore, correct option is D option.Answer:
Step-by-step explanation:
Given a quadratic function, y = ax^{2} + bx + c, what happens to the graph when "a" is positive?.
Answer:
So, given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value.
Step-by-step explanation:
100% on edg :)
The quadratic function, y = ax²+ bx + c opening upward if the value of 'a' is positive.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have quadratic function,
y = ax² + bx + c
If the value of 'a' is negative, then the function will be opening downside and if the value of 'a' is positive, then the function will be opening upside.
Let say a = 1, b = 1, c = 1
y = x² + x + 1 (upside)
If a = -1, b = 1, c = 1
y = -x² + x + 1 (downside)
Thus, the quadratic function, y = ax²+ bx + c opening upside if the value of 'a' is positive.
Learn more about quadratic equations here:
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The buffalo bills scored 24 more than twice the number of points that the Miami dolphins scored. Altogether, the teams scored 66 points. How many did each team score individually?
Final answer:
The Miami Dolphins scored 14 points, while the Buffalo Bills scored 52 points, totaling 66 points as per the equation representing their scores.
Explanation:
Let's denote the number of points the Miami Dolphins scored as D. According to the question, the Buffalo Bills scored 24 more than twice the number of points that the Miami Dolphins did. This can be expressed as 2D + 24 for the Buffalo Bills' score. The total points scored by both teams is given as 66.
We can set up an equation to represent this situation:
D + (2D + 24) = 66
Simplify and solve for D:
Combine like terms: 3D + 24 = 66
Subtract 24 from both sides: 3D = 42
Divide both sides by 3: D = 14
So, the Miami Dolphins scored 14 points. We can then calculate the Buffalo Bills' score by plugging D into the Buffalo Bills' score equation:
2(14) + 24 = 28 + 24 = 52
Therefore, the Buffalo Bills scored 52 points.
In conclusion, the Miami Dolphins scored 14 points, and the Buffalo Bills scored 52 points.
How will the federal tax affect a gross bi weekly pay of $740 for a single person claiming 1 exemption? a. It increases gross pay by $62. b. It decreases gross pay by $62. c. It increases gross pay by $65. d. It decreases gross pay by $65.
How will the federal tax affect a gross biweekly pay of $740 for a single person claiming 1 exemption?
a.
It increases gross pay by $62.
b.
It decreases gross pay by $62.
c.
It increases gross pay by $65.
d.
It decreases gross pay by $65.
its d
Answer:
d
Step-by-step explanation:
Write in algebraic expression ( 12 less than the amount y divided by 2)
Tell whether the two quantities vary directly. Explain your reasoning. The cafeteria provides three meals per day.
Answer:
The cafeteria provides three meals per day.
Reason 1
Yes, they vary directly
As number of days increases ,Total number of meals i.e
1st day ⇒ 3
2nd day⇒6
3 rd day⇒9
4th day⇒12
......................
.........................
increases.
Total number of Meals = k×Number of days
But there is another possibility also
Reason 2
1 st day ⇒ 3
2nd day ⇒3
3rd day⇒ 3
.....................
.....................
As you can see from the above expression On each day number of meals is
constant.
So we can say that ,
On each Day=Constant amount of meal=3
So, there is no Proportionality between Days and Meal.
Find the coordinates of the midpoint of the segment with the given endpoints A(1,2) and B(3,6).
midpoint = (2, 4 )
using the midpoint formula
midpoint = [ [tex]\frac{1}{2}[/tex] (1 + 3 ), [tex]\frac{1}{2}[/tex] (2 + 6 )] = (2, 4)
The midpoint of the line segment with given endpoints A(1,2) and B(3,6) can be found using the formula for a midpoint, which is ((x1+x2)/2, (y1+y2)/2). Substituting the coordinates of points A and B into this formula gives us the midpoint coordinates as (2,4). So the midpoint is (2,4).
Explanation:The question is asking for the midpoint of the line segment with given endpoints A(1,2) and B(3,6). We can calculate this using the formula for the midpoint of a segment, which is ((x1+x2)/2, (y1+y2)/2). In this case:
x1 = 1 (the x-coordinate of point A) y1 = 2 (the y-coordinate of point A) x2 = 3 (the x-coordinate of point B) y2 = 6 (the y-coordinate of point B)
Substituting these values into the formula gives us the midpoint = ((1+3)/2, (2+6)/2) = (2,4). Therefore, the coordinates of the midpoint of the segment with the given endpoints A(1,2) and B(3,6) are (2, 4).
Learn more about Midpoint here:https://brainly.com/question/28224145
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Identify the slope of the line shown in the graph below
a
slope = 5
b
slope = undefined
c
slope = 0
d
slope = 1
which is the graph of linear inequality 2y>X-2
[tex]2y > x-2\qquad|:2\\\\y > \dfrac{1}{2}x-1[/tex]
for < or > line is - - - - - - - -
for ≤ or ≥ line is _________
for < or ≤ shaded below the line
for > or ≥ shaded above the line
Therefore your answer is the third graph.
Answer:
Option C. is the correct option.
Step-by-step explanation:
The given inequality is 2y > x - 2
1). As we know on a graph > (greater than) sign reflects the shaded part above the line
and < (less than) tells about the shaded region below the line.
2). If there is a sign of equality ≥ or ≤ then the line is denoted by a solid line in the graph.
When signs are in the form of > or < only then line will be in the dotted form.
By these rules we can easily say shaded area above the dotted line represents the solution area of the inequality 2y > x - 2.
Therefore, option C is the answer.
Line segment CD is congruent to line segment XY. Which of the following is an equivalent statement?
Answer:
the answer is b
Step-by-step explanation:
Lolita reads 245 pages in 5 hours. How fast does she read?
she reads 49 pages in one hour.
The answer is 49 pages per hour
Ann is grouping 38 rocks. She can put them into groups of 10 rocks or as single rocks. What are the different ways Ann can group the rocks?
Answer: There will be two different ways of doing so.
Step-by-step explanation:
Since we have given that
Total number of rocks =38
If we want to groups of 10 rocks or as single rocks then there are 2 different ways ;
Case I:
if we group into 10 rocks
there will be four sets in which Ist set contains 10 rocks
Second set contains 10 rocks
Third set contains 10 rocks
and Fourth set remains with 8 rocks only.
Case II:
if we group as single rocks .
There will be 38 sets .
A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 cm. A pyramid with the same base and half the height of the prism is placed inside the prism as shown in the figure. the volume of the space outside pyramid but inside the prism is blank cubic centimeters
Answer:
Volume of the empty space (outside pyramid) is 225 cm².
Step-by-step explanation:
Dimensions of the rectangular prism = 5cm × 5cm × 12cm
Volume of a triangle is represented by the expression,
[tex]V_{1}[/tex] = Length × Width × Height
= 5×5×12
= 300 cm²
A rectangular pyramid with half the height and same base of the prism, has been inserted inside the rectangular prism then,
Volume of pyramid is represented by the expression,
[tex]V_{2}=\frac{1}{3}(\text{Area of the base})\times (\text{Height})[/tex]
= [tex]\frac{1}{3}(5\times 5)\times (6)[/tex]
= 75 cm²
Therefor, volume of the space left in the blank prism
[tex]V_{1}-V_{2}=300-75[/tex]
= 225 cm²
Four girls helped Mr. Day plant a garden. For their help, he gave the girls $24 to share equally.later, mrs. day gave each girl $2 for helping to clean up. How much money did each girl get?
they all split it and is each going to have 6 dollars each plus the extra 2 for cleaning so 8 dollars each.
Answer - $8 Dollars
Each girl received a total of $8 after dividing the $24 from gardening equally among four girls and adding an extra $2 given by Mrs. Day for cleaning up.
The question asks how much money each girl received in total for helping with gardening and cleaning up. To find the answer, we first calculate how much each girl got from the $24 shared equally and then add the additional money each received from Mrs. Day.
Divide the $24 equally among the four girls: $24 \/ 4 = $6 per girl from gardening.Add the extra $2 each girl received for cleaning up: $6 (from gardening) + $2 (from cleanup) = $8 total per girl.Therefore, each girl received $8 in total from helping Mr. and Mrs. Day with gardening and cleaning up.
What percent of her overall bill did Bella save?
Original price: $225
Price after discounts: $180
Answer:
you still need the answer after all these years??? XD
Step-by-step explanation:
you have 2/4 of a pizza and you want to share it equally between 2 people. How much of the pizza does each person get?
Hi CaCahead23,
Question:
You have 2/4 of a pizza and you want to share it equally between 2 people. How much of the pizza does each person get?
Solution:
2/4 / 2 = 1/4
Answer:
Each person gets 1/4 of a pizza.
In an election, everyone voted for either Cindy of Shawn. Cindy received 55% of the voters. Shawn received 423 votes. How many total people voted in the election?
Answer:
940 people
Step-by-step explanation:
since we know that 423 is 45% of the vote, we would do
45/100 =423/x, when you simplify the proportion, you find out that 940 people
Evaluate 6 • 3 ÷ start root 9 end root – 1.
A. 2
B. 3
C. 5
D. 6
6 * 3 / sqrt9
Using PEMDAS, solve SQRT first.
6 * 3 / 3
Using PEMDAS, solve 6 * 3.
18 / 3
Solve.
6.
Your answer is 6.
Answer:
It's 5 for connexus students, I did it already.
Step-by-step explanation:
A 100 pound person on earth would weigh about 4×4×4×4 pounds on Jupiter. Evaluate the expression to determine how much a 100 pound person would weigh on Jupiter. How much would a 200 pound person weigh?
That is 256
We get this by doing 4*4*4*4
so 4*4 is 16, then 16*4 is 64, then 64*4 is 256
So a 100lbs person would weigh 256 pounds on jupiter, or 4^4
Hello there,
Your correct answer is C your work is below
Ok so 4 to the 4th power is 256
we do this by multiplyg 4 times 4 times 4 times 4 and get 256
Also the exact weight of 200 pounds in jupiter is 510.40 and 512 is the nearest
If my answer helped please mark me as brainliest it would help thank you and have the best day ever!
Wjat is 6.05 in standard form
e graph shows the altitude of a helicopter over time.
A graph measuring altitude and time. A line runs through coordinates (0, 10,000) and (15, 4000) and shows a decrease in altitude as time increases
What is the slope of the line and what does it mean in this situation?
The slope is –2000 . This means that the helicopter descends 2000 ft each minute.
The slope is –400 . This means that the helicopter descends 400 ft each minute.
The slope is 400. This means that the helicopter ascends 400 ft each minute.
The slope is 2000. This means that the helicopter ascends 2000 ft each minute.
Let
x-------> the time
y-------> the altitude of a helicopter
Step 1
Find the slope of the line
we know that
the slope m of the line between two points is equal to
[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]
we have
[tex](x1,y1)=(0,10,000)\\(x2,y2)=(15,4,000)[/tex]
substitute in the formula
[tex]m=\frac{(4,000-10,000)}{(15-0)}[/tex]
[tex]m=\frac{(-6,000)}{(15)}[/tex]
[tex]m=-400\frac{feet}{minute}[/tex]
therefore
the answer is the option
The slope is [tex]-400[/tex] . This means that the helicopter descends [tex]400[/tex] ft each minute.
Answer:
-400
Step-by-step explanation: