Answer:
[tex]x = 15.[/tex]
Step-by-step explanation:
[tex]4x/5-x=X/10-9/2 = > \\ \frac{4x}{5 - x} = \frac{x}{10} - \frac{9}{2} \\ (20)4x = 2x(5x - x) - 10(5x - x) \\ 80x = 10 {x}^{2} - {2x}^{2} - 50x + 10x \\ 8 {x}^{2} - 120x = 0 \\ {x}^{2} = 15x \\ x = 15.[/tex]
At an Italian restaurant, you order a salad for $2.50 and spaghetti for $8.25. Sales tax is 7.5%. What is the total of your bill including sales tax?
Answer: $11.56
Step-by-step explanation:
Amanda buys some back-to-school clothes. She buys three T-shirts at $9.00 each, two pairs of jeans at $20.00 each, and five pairs of socks at $3.50 each. What is the total cost of her purchases?
Answer:
the correct answer is 84.5$
Step-by-step explanation:
The way how i got this because 3*9 for the t shirts
2*20 for the jeans
and 5*3.50 for the socks
Answer:
$84.50
Step-by-step explanation:
So we know she buys 3 nine dollar shirts
$9.00 times 3 shirts is $27.00
She also buys two pairs of jeans
$20.00 times 2 is $40.00
Finally she buys 5 pairs of socks
$3.50 times 5 is 17.50
so lets add it all up
27.00
40.00
17.50
=84.50
Which of the following are valid names for the given triangle? Check all that apply.
Answer:
a, b, e,f
Step-by-step explanation:
i dont have one
Given the function f(x) = 2 x + 61 – 4, for what values of x is f(x) = 6?
Answer:
x = -51/2
Step-by-step explanation:
f(x) = 2x + 61 - 4
Since we are looking for the values where f(x) = 6, replace f(x) with 6 in the equation:
6 = 2x + 61 -4
Next combine like terms:
6 = 2x + 57
Then move subtract 57 from both sides to isolate the variable:
-51 = 2x
Finally, divide both sides by two to get x by itself:
x =-51/2
Answer:
69
Step-by-step explanation:
Replace x with 6.
2(6) =12 +61= 73-4=69
Describe the Graph of y= x-2
Answer:
the picture above is the graph :)
PLSSSSSSSSSSSSSSSS I NEED HELP
Problem Solving: Use
Reasoning
1. The delivery person stopped on the 14th floor to talk to a friend. Before stopping, he had just made a delivery 4 floors above. Before that he made a delivery 6 floors below. Before that he had made a delivery 9 floors above. Before that he had made a delivery 15 floors below. On what floor did he make his first delivery?
2. Geometry The volume of a rectangular prism is 208 cm3. If the area of one end is 16 cm2, what is the length of the prism?
3. On one day, a store sold 16 boxes of rice, restocked the shelf with 22 boxes, sold 27 boxes, restocked with 30 boxes, and sold 15 boxes. There are now 21 boxes of rice on the shelf. How many boxes were on the shelf at the start of the day?
4. At the end of the day, Brooke had $138.75 in her checking account. She had made a deposit of $115.07 and written checks totaling $176.94. How much did she have in her checking account at the beginning of the day?
A –$76.88
B $76.88
C $200.62
D $430.76
5. Writing to Explain The football team gained 7 yards, gained 4 yards, lost 5 yards, gained 21 yards, lost 2 yards, and gained 4 yards to their 43 yard line. Explain how you solved this problem. Then find the yard line where the team began.
Practice 7-6
Answer:
1. 6th Floor
2. 13 cm
3. 15 boxes
4. $76.88
5. 14
Step-by-step explanation:
1. 14 + 4 = 18. 18 - 6 = 12. 12 + 9 = 21. 21 - 15 = 6
2. 208 ÷ 16 = 13
3. 21 - 15 = 6. 6 + 30 = 36. 36 - 27 = 9. 9 + 22 = 31. 31 - 16 = 15
4. 138.75 + 115.07 = 253.82. 253.82 - 176.94 = 76.88
5. ? + 7 + 4 - 5 + 21 - 2 + 4 = 43. First you need to combine all of it:
? + 29 = 43. 43 - 29 = ?
43 - 29 = 14
? = 14
Please help asap. Ty
There are 4 milk chocolates to every 2 dark in a box of chocolates. There are 34 dark chocolates in the box. How many milk chocolates are in the box?
Which symbol correctly fills in the blank? 372.5. <37.25
Answer:
>
Step-by-step explanation:
flip the symbol because 372 is bigger than 37
Lily sold 5 purses in her first week of business and 15 purses in her second week of business.If p represents the profit she makes from selling one purse, how could lily write and simplify a variable expression that represents her current profit after two weeks in business?
Answer:
20p = x
Step-by-step explanation:
Since Lily sold 5 purses in week one and 15 purses in week two that adds up to be a total of 20 purses sold in two weeks. Since p represents the profit for each purse she can use the expression below which simply multiplies the profit per purse (p) by the total amount of purses sold in the two weeks which would give her the total amount of profit (x) that she made from all of her sales.
20p = x
PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. ASA
B. AAS
C. SSS
D. Not enough information
E. None of these
Answer:
A. ASA
Step-by-step explanation:
The point in which they are connected is equal on both sides, it is an even 90-degree angle. The two lines indicate that the side is equal on both triangles and the red curve indicates that the angle is equal on both triangles. So it is congruent by ASA.
Please help me ASAP with my homework!
High school Geometry.
Geometric proofs.
Warning (It's difficult)
Worth 10 points
Answer:
I can't see what the proof is for the first picture :( but I answered the second one.
Step-by-step explanation:
statement reasons
BX bisects ABC given
XBC + ABX = ABC angle bisector theorem
ABC divided by 2 = BX division property
BX = 45 symmetric property
i hope this helps
A conservative estimate of the number of stars in the universe is 6x10^22. The average human can see about 3,000 stars at night with his naked eye.About how many more times more stars are there in the universe compared to the stars human can actually see?
Answer:
2 × 10^19 times
Step-by-step explanation:
Number of stars in universe = 6x10^22
Number of stars eye can see = 3000
About how many more times more stars are there in the universe compared to the stars human can actually see?
Number of stars in universe / number of stars eye can see
= 6x10^22 / 3000
= 6 × 10^22 / 3 × 10^3
= 2 × 10^(22 - 3)
= 2 × 10^19 times
Number of stars in universe is 2 × 10^19 times more than that which the eyes can see
There are 28 female performers in a dance recital. The ratio of men to women is 3:4. How many men are in
the dance recital?
Which of the following statement is true? A=(2x+1), B=(x+15) C=x
is there any option choices to go along with the question?
A carpenter bought bolts to finish a project. In all, the bolts weighed 2 pounds. There are 16 ounces in 1 pound. If each bolt weighed 1/12 ounce, how many bolts did the carpenter buy
Answer:
384boltsStep-by-step explanation:
Given that there are 16 ounces in 1 pound
the carpenter bought 2 pounds
hence he has 32 ounces altogether
also each bolt weighed 1/12 ounce
Hence in 32 ounces there are
32/1/12
multiply 32 by the inverse of the denominator we have
=32*12/1
=384bolts
Which one is the answer to it
Answer:
- 6 and - 4
Step-by-step explanation:
Given
- [tex]\frac{1}{2}[/tex] x + 4 ≥ 6 ( subtract 4 from both sides )
- [tex]\frac{1}{2}[/tex] x ≥ 2
Multiply both sides by - 2 to clear the fraction, reversing the symbol as a result of multiplying by a negative quantity.
x ≤ - 4
The only values from the set which satisfy the inequality are
- 4 and - 6
Jonathan draws a ticket from a box to select the door prize winners at a party. The tickets are numbered from 1 to 25. What is the expected value that the tickets drawn will have numbers less than 5 if he draws tickets 40 tickets
Answer:
6
Step-by-step explanation:
Given that there are tickets in the draw which are numbered from 1 to 25.
Probability of an event E is given by the formula:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Probability of each number can be found out as:
Number of favorable cases for each number is 1 and total number of cases here is equal to the total number of tickets i.e. 25.
[tex]P(Each\ Number) = \dfrac{1}{25}[/tex]
Now, the numbers less than 5 mean 1, 2, 3 and 4.
Therefore, 4 number of favorable cases.
[tex]P(1, 2, 3\ or\ 4) = \dfrac{4}{25}[/tex]
Now, it is given that 40 tickets are drawn.
Number of times, the numbers less than 5 are expected:
[tex]\dfrac{4}{25}\times 40 \approx 6[/tex]
Darius is building a square launch pad for a rocket project. If the area of the pad is 121 square centimeters, what is it's sides length? Use the area formula, A=s^2, and show your work.
Answer:
11 cm
Step-by-step explanation:
A = [tex]s^{2}[/tex]
Known that A = 121 [tex]cm^{2}[/tex],
121 [tex]cm^{2}[/tex] = [tex]s^{2}[/tex]
s = [tex]\sqrt{121}[/tex] cm = 11 cm
Done :)
The side length of a square launch pad is 11 centimeter.
Here,
Darius is building a square launch pad for a rocket project.
The area of the pad is 121 square centimeters.
We have to find, it's side length.
What is Area of square?
The area of a square = side x side
Since each side of a square is the same, it can simply be the length of one side squared.
Now,
The area of the pad is 121 square centimeters.
We use the area formula,
⇒[tex]A = s^{2}[/tex]
⇒ [tex]s^{2} = 121[/tex]
⇒[tex]s = \sqrt{121}[/tex]
⇒ [tex]s = 11[/tex]
Hence, The side length of a square launch pad is 11 centimeter.
Learn more about the Area of square visit:
https://brainly.in/question/7636962
#SPJ2
Find the value of x.
T
OX= 2
O x= 3
O x= 33
O x = 52
Answer:
x=3
Step-by-step explanation:
Angle TRS would be 180-45x as the angle lies on a straight line and we know angles on a straight line add up to 180 degrees
Then I would add the three angles in the triangle and equate it to 180 degrees as angles in any triangle add up to 180 degrees
therefore:
(180-45x)+25x+(57+x)=180
180-45x+26x+57=180
237-19x= 180
237-180=19x
57=19x
57/19=x
3=x
x is correct as when we substitute it in the angles in the triangle, the interior angles for the triangle does add up to 180
The radius of the puddle is zero when time is zero but expands at a rate of one-quarter unit per second instead of one-half unit per second. By what factor does the denominator of the resultant composite function A(r(t)) change from that in the opening scenario?
Given that the radius of the puddle expands, originally, at a rate of 1/4 unit/second instead of 1/2 unit/second.
The current rate of expension of the radius,
\frac {r(t)}{t}=frac 1 4 unit/second ...(i)
The resultant composite function is area, A(r(t)).
The area of a circular region having radius r is,
[tex]A(r)=\pi r^2[/tex]
If the radius is the function of time, then the composite function is
[tex]A(r(t))=\pi \(r(t))^2[/tex]
To determine the rate of change of area with respect to time, differentiate the composite function A(r(t)) once with respect to time, we have
[tex]\frac {d\{A(r(t))\}}{dt}=\pi \left(2\frac {d\{r(t)\}}{dt}\right)[/tex]
So, the composite function is changing twice of the rate of change of the radius.
By using equation (i), if r(i) is changing with R= 1/4 unit / second.
Then, A(r(t)) will change 2 x 1/4 = 1/2 square unit/second.
HELP ME PLEASE!!!!!!!!!!
Answer:
2
Step-by-step explanation:
rise/run
4/2
2
Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = 8x2 – 800
Answer:
-10, 10
Step-by-step explanation:
To do that, we can set up an equation:
[tex]8x^2-800=0[/tex]
We can divide both sides by 8 to make it easier to solve:
[tex]x^2-100=0[/tex]
Now, isolate the x and take the square root of both sides:
[tex]x^2=100\\x=\pm10[/tex]
Therefore, the 2 zeroes of f(x) are -10 and 10.
Which one?
A. B. C. or D?
Answer:
A) -9
Step-by-step explanation:
You can take one zero off of each number. That leaves you with 9/-1. 9/1 is 9, and then you add a negative sign to the 9.
8 + 2r = −10 what is r?
Answer:
r = -9
Step-by-step explanation:
Subtract 8 from both sides to get 2r = -18. Divide by 2 on both sides to get r = -9.
Answer:
r=-9
Step-by-step explanation:
Step 1:- Simplify both sides of the equation.
2r+8 = -10
Step 2:- For isolating the variable, subtract 8 from both sides.
2r+8-8 = -10-8
2r = -18
Step 3:- For isolating the variable, divide by 2 from both sides.
2r/2 =-18/2
r= -9
Hope this helps :)
1) You purchase 5 pounds of candy for Halloween for $8! How many pounds of caner would you have purchased for $20?
Answer:
12.5
Step-by-step explanation:
Answer:
It should be 32 pounds.
Step-by-step explanation:
I divided 8 by 5 and got 1.6 and then multiplied that by 20 and got 32.
The following is an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent:
Parallelogram ABCD is shown where segment AB is parallel to segment DC and segment BC is parallel to segment AD.
According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD. Construct diagonal A C with a straightedge. _____________. Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem. Angles BCA and DAC are congruent by the same theorem. Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem. By CPCTC, opposite sides AB and CD, as well as sides BC and DA, are congruent.
Which sentence accurately completes the proof? (5 points)
Angles BAC and DCA are congruent by the Same-Side Interior Angles Theorem.
Diagonal BD is congruent to itself by the Reflexive Property of Equality
Diagonal AC is congruent to itself by the Reflexive Property of Equality.
Angles ABC and CDA are congruent according to a property of parallelograms (opposite angles congruent).
Answer:
The third option is the answer.
Step-by-step explanation:
I just took the test and got it right.
Answer:
Diagonal AC is congruent to itself by the Reflexive Property of Equality.
Step-by-step explanation:
I'm taking the test
Write a linear equation in slope intercept from that is perpendicular to x−3y=3 and passes through the point (5, −9).
Answer:
[tex]y=-3x+6[/tex]
Step-by-step explanation:
First, let’s determine the slope of the original equation.
We have [tex]x-3y=3[/tex]
Subtract x from both sides and then divide both sides by -3. So:
[tex]-3y=-x+3\\y=\frac{1}{3}x-1[/tex]
Therefore, the slope of our original line is 1/3.
Remember that perpendicular lines have slopes that are negative reciprocals of each other.
Therefore, the slope of our new perpendicular line is the negative reciprocal of 1/3.
Thus, the slope of our new line will be -3. We flip the fraction and add a negative.
So, the slope of our new line is -3. We also know that it passes through the point (5, -9).
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, substitute -3 for m and (5, -9) for (x₁, y₁). This yields:
[tex]y-(-9)=-3(x-5)[/tex]
We want our line in slope-intercept form. So, distribute the right:
[tex]y+9=-3x+15[/tex]
Subtract 9 from both sides. Therefore, our equation is:
[tex]y=-3x+6[/tex]
Answer:
5
Step-by-step explanation:
A park guide plans the swan boat rides for 38 people. Each boat can carry 6 people at a time.
What is the best way to interpret the remainder in this situation so that everyone gets a ride? Complete the statement.
The best way would be to ? the quotient by .
Answer:
38/6
Step-by-step explanation:
So, the best way to interpret the reminder of this problem is by doing 38/6 then, the left over people is the reminder.
Answer: So, the best way to interpret the reminder of this problem is by doing 38/6 then, the left over people is the reminder.
Step-by-step explanation: So, the best way to interpret the reminder of this problem is by doing 38/6 then, the left over people is the reminder.
Suppose line g is the line with equation y=x. Given A(8.-4), B(6,3), and C(-1.-6), what are the coordinates of the vertices of AA'B'C' for the reflection?
R
Al
(Type an ordered pain.)
Enter your answer in the answer box and then click Check Answer
Answer:
A'(-4, 8), B'(3, 6), C'(-6, -1)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation.
If a point X(x, y) is reflected about the y = x line, the new location is X'(y, x)
Triangle ABC has vertices at A(8.-4), B(6,3), and C(-1.-6), if it is reflected about the y = x line, the new location is A'(-4, 8), B'(3, 6), C'(-6, -1)