Answer:
They are 10 dollars a piece
Segment Addition Postulate: If PQ = x - 5, QR = 2x - 1, and PR = 21, find x. 3 points
Р
Q
R
D
17
Not enough information
Answer:
[tex] x = 9 [/tex]
Step-by-step explanation:
Given:
[tex] PQ = x - 5 [/tex]
[tex] QR = 2x - 1 [/tex]
[tex] PR = 21 [/tex]
Required:
Value of x
SOLUTION:
Point P, Q, and R are collinear, therefore:
[tex] PQ + QR = PR [/tex] (segment addition postulate)
[tex] (x - 5) + (2x - 1) = 21 [/tex] (substitution)
Solve for the value of x using the above equation.
[tex] x - 5 + 2x - 1 = 21 [/tex]
Combine like terms
[tex] x + 2x - 5 - 1 = 21 [/tex]
[tex] 3x - 6 = 21 [/tex]
Add 6 to each side of the equation
[tex] 3x - 6 + 6 = 21 + 6 [/tex]
[tex] 3x = 27 [/tex]
Divide each side by 3
[tex] \frac{3x}{3} = \frac{27}{3} [/tex]
[tex] x = 9 [/tex]
PLEASE HELP!! SOMEONE PLEASE HELP!! (17 points!!)
I need to turn it in soon!!
Answer:
a) squareb)(-3, 5), (2, 5), (-3, 0), (2, 0)Step-by-step explanation:
Refer to attached
a) ............................
This is a square of side length of 5
b) ............................
Applied rule
(x,y) → (x -3, y +2)New coordinates:
(-3, 5), (2, 5), (-3, 0), (2, 0)find the measure of the angle indicated by 7x+12
Answer:
61°
Step-by-step explanation:
7x + 12 and 17x are same- side interior angles and are supplementary. thus
7x + 12 + 17x = 180. that is
24x + 12 = 180 ( subtract 12 from both sides )
24x = 168 ( divide both sides by 24 )
x = 7
Thus
7x + 12 = 7(7) + 12 = 49 + 12 = 61°
Can someone help me with number 23?
Answer:
See explanation
Step-by-step explanation:
It is impossible to take the square root of a negative number. Try any value, nothing works. [tex]2^2 = 4[/tex], and [tex]-2^2 = 4[/tex]. It just doesn't work. This is why there is no real number that satisfies [tex]\sqrt{-4}[/tex] (however it is represented as [tex]2i[/tex], i being "the imaginary number" that mathematicians made up to represent it).
When we are finding the cube root of a number, we are looking for a number that when multiplied by itself 3 times, will equal the number.
This is different than squared. Any number, positive or negative, squared will be positive. However, we can test out values and see we can end up with a negative when cubing.
For example: [tex]5^3 = 5\cdot 5\cdot 5 = 125[/tex]
HOWEVER:
[tex]-5^3 = -5 \cdot -5 \cdot -5 = -125[/tex]
We know that [tex]2^3 = 8[/tex], this means that [tex]-2^3 = -8[/tex] (as [tex]-2 \cdot -2 \cdot -2 = -8[/tex])
Hope this helped!
If Chang jogs one lap around the inside track, how far does he jog
Answer:
836 m
Step-by-step explanation:
Given that the tracks are similar, therefore, the ratio of the lenght of all corresponding sides of the inside track to the outside track are equal, and have the same scale factor.
Only 1 side of the inside track is given as 395 m. It corresponds to the side of the outside that measures 553 m. Therefore:
scale factor = 395:553 = [tex] \frac{395}{553} = 0.7 [/tex]
Find the remaining two sides of the insider tracks by multiplying the lenght of the side of the outside tracks that corresponds to each by the scale factor.
Thus:
280*0.7 = 196 m
350*0.7 = 245 m
The remaining 2 side lengths of the inside tracks are 196 m and 245 m.
If Chang completes 1 lap around the inside tracks, he would have gone: 395 + 196 + 245 = 836 m.
Answer: D. 1277
Step-by-step explanation:
First you divide 553 by 395 : 553/395=1.4
Now that you have 1.4 , you multiply that times both 350 and 280.
280 • 1.4=392
350 • 1.4=490
Add up all the sides: 395+392+490=1277
Josefina originally had $550 in her checking account. After withdrawing $100 each week, Josefina has a new balance of $50. Which best represents w, the number of weeks Josefina withdrew money from her checking account?
A. 550 - 100w = 50
B. 550 + 100w = 50
C. 50 + 100w = 550
D. 50 - 100w = 550
if mBC= 24 ft, mAC = 2x+1, and the mBA=7x-4, what is the value of x?
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
[tex]BC = 24[/tex]
[tex]AC = 2x + 1[/tex]
[tex]BA = 7x - 4[/tex]
Required
Find x
The given parameters shows that A is a point on BC;
So:
[tex]BC = BA + AC[/tex]
Substitute values for BC, BA, AC
[tex]24 = 7x - 4 + 2x + 1[/tex]
Collect Like Terms
[tex]24 + 4 - 1 = 7x + 2x[/tex]
[tex]27 = 9x[/tex]
Solve for x
[tex]x = 27/9[/tex]
[tex]x = 3[/tex]
Answer:
x=3
Step-by-step explanation:
:)
Fadi earned money selling pies and cakes. For the pies, he made a profit of $250 with an expense of $5 per pie. For the cakes, he made a profit of $200 with an expense of $4 per cake. He sold the same number of pies and cakes.
Answer:
the answer is 50
Step-by-step explanation:
i took the test and guessed and got it right
The difference of two perfect cubes is 386. If the cube root of the smaller of the two numbers is 7, then the cube root of the larger number is
Answer:
9
Step-by-step explanation:
Let the two perfect cubes be x and y where x > y.
According to the given conditions:
[tex] {x}^{3} - {y}^{3} = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\ {x}^{3} - {7}^{3} = 386 \\ {x}^{3} - 343 = 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 729 \\ x = \sqrt[3]{729} \\ x = 9[/tex]
Thus the cube root of the larger number is 9.
Building and solving an equation, it is found that the cube root of the larger number is 9.
-------------------------
Examples of perfect cubes are 1, as [tex]1^3 = 1[/tex], 8, as [tex]2^3 = 8[/tex], 27, as [tex]3^3 = 27[/tex], and so on...We do not know the numbers, so they are called [tex]x^3[/tex] and [tex]y^3[/tex].Since the difference is 386, we have that:[tex]x^3 - y^3 = 386[/tex]
The cube root of the smaller number is 7, thus, [tex]y = 7[/tex], and now, it is possible to solve for x, and find the cube root of the larger number.[tex]x^3 - y^3 = 386[/tex]
[tex]x^3 - 7^3 = 386[/tex]
[tex]x^3 - 343 = 386[/tex]
[tex]x^3 = 386 + 343[/tex]
[tex]x^3 = 729[/tex]
[tex]x = \sqrt[3]{729}[/tex]
[tex]x = 9[/tex]
Thus, the cube root of the larger number is 9.
A similar problem is given at https://brainly.com/question/13161078
hey guys can u guys plz put this in ascending order: 0.8 0.88 86% 21/25 ( the 21/25 is a fraction)
Answer:
im pretty sure ascendeing means going up so thats how im going to put it. from lowest to highest.
Step-by-step explanation:
0.8, 0.84 (0.84 is also 21/25) then there is 0.88 then there is 86.
hope this helps
I need to find the rule for x and y
Is 7/9 a rational number ?
Answer:
Yes.
Step-by-step explanation:
Rational numbers can be represented as fractions with integers. The denominator must not equal 0.
[tex]\frac{7}{9}[/tex] is already in this form. This means that it's a rational number.
Hope this helps.
Yes, 7/9 is a rational number. A rational number is any number that can be expressed as a fraction of two integers, where the denominator is not zero.
In this case, 7/9 can be written as the fraction where the numerator (7) and denominator (9) are both integers. Since there is no division by zero, 7/9 qualifies as a rational number.
Rational numbers can be represented as terminating decimals or repeating decimals. When we divide 7 by 9, we get the decimal representation 0.777... where the digit 7 repeats infinitely. This is a repeating decimal, and it's still considered rational because it can be expressed as the fraction 7/9.
In conclusion, 7/9 is a rational number since it can be expressed as the fraction of two integers, and it can be represented as a repeating decimal.
To know more about rational number:
https://brainly.com/question/17450097
#SPJ6
1. What is the slope of the line that passes through the given points?
(2, 12) and (6, 11)
Answer:
Slope = -1/4
Step-by-step explanation:
(x1,y1) = (2,12)
(x2,y2) = (6,11)
Slope = y2-y1/(x2-x1)
11-12/6-2= -1/4
plzz help if you can.. i'm confused
Answer: A
Step-by-step explanation:
If you look at the line segment, it states that EG is 12. Now, we add EF and FG to get the value of x.
6x-8+2(x+2)=12 [distribute]
6x-8+2x+4=12 [combine like terms]
8x-4=12 [add both sides by 4]
8x=16 [divide both sides by 8]
x=2
Now, we know that A is the correct answer.
Answer: The answer is A.
Step-by-step explanation:
This number is in scientific notation.
2.4 x 104
Convert the number into standard notation. What is the value?
2.4 x 10-4 =
Answer:
24
0.00024
hope it helps;)
Answer:
0.00024
Step-by-step explanation:
What is the second step to solving this equation?9x - 23 = 49ASubtract 23 from both sides.BMultiply both sides by 9.CDivide both sides by 9.DAdd 23 to both sides. What happens to the order of operations when you’re solving a two-step equation?
Answer: C
Step-by-step explanation:Answer:
C
Divide both sides by 9.
A coordinate grid is placed over a map. City A is located at (19,22). City B is located at (-7,-2). If City C is halfway between City A and City B, Where is City C located? What is the distance between City A and City C? (Round to the nearest tenth)
Answer:
City C location: (6,10)
Distance between City A and City C: √313 or 17.69
Step-by-step explanation:
Use midpoint formula: (x2 + x1)/2, (y2 + y1)/2
Plug in the numbers, this gives you (6,10)
Use distance formula to find distance between City A and City C.
√(x2−x1)^2+(y2−y1)^2
Plug in the numbers, this gives you √313 which is also 17.69
Find the number that makes the ratio equivalent to 1:3. 12 : ?
Answer:
36
Step-by-step explanation:
Since 12 is the first number in the next ratio, multiply it by each number in the first ratio-
1*12=12
3*12=36
Answer= 12:36
Hope this helped
solve the inequality T> L+D
Answer:
solving for t= t>d+l
For l= l<t-d
Then for d=d<t-l
Ned wants to buy a car that costs $22,000. He has $12,500 saved. How much more does he need?
Answer:
$9,500
Step-by-step explanation:
$9,500. Answer is found by subtracting the amount that he already has by the amount he must have in the end.
HELP
Determine whether the relation is a function
y=2w=2
Answer:
Hi there!
I might be able to help you!
It is NOT a function.
Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function. X = y2 would be a sideways parabola and therefore not a function. Good test for function: Vertical Line test. If a vertical line passes through two points on the graph of a relation, it is not a function. A relation which is not a function. The x-intercept of a function is calculated by substituting the value of f(x) as zero. Similarly, the y-intercept of a function is calculated by substituting the value of x as zero. The slope of a linear function is calculated by rearranging the equation to its general form, f(x) = mx + c; where m is the slope.
A relation that is not a function
As we can see duplication in X-values with different y-values, then this relation is not a function.
A relation that is a function
As every value of X is different and is associated with only one value of y, this relation is a function.
Step-by-step explanation:
It's up there!
God bless you!
PLEASE answer ASAP. THANK YOU
Answer:
< and [tex]\leq[/tex] and [tex]\neq[/tex]
Step-by-step explanation:
-7 is less than -4
-7 is less than -4, so less than or equal to works too. Because it is or, it works in this scenario.
-7 is also not equal to -4
Answer <
Step-by-step explanation:
Closer to zero
rewrite 5 3/4 as an improper
Answer:
5 3/4= 23/4 in improper fraction
On a coordinate plane, a line goes through (0, negative 1) and (3, 1). A point is at (negative 3, 0).
What is the equation of the line that is parallel to the given line and has an x-intercept of –3?
y = Two-thirdsx + 3
y = Two-thirdsx + 2
y = Negative three-halvesx + 3
y = –Three-halvesx +
Answer:
its the 3rd one
Step-by-step explanation:
i did it on end 2020
Answer:
C
Step-by-step explanation:
figure b is a scaled copy of figure a. help?
The container that holds the water for the football team is
1/10 full.
After pouring in 12 gallons of water, it is 1/2 full.
How many gallons can the
container hold.
Answer:
30 Gallons
Step-by-step explanation:
Okay so you need to start by making an equation for yourself. Since the container starts at 1/10 of the total, you want to start by saying 1/10x. Then you add 12 gallons of water to make it half full. So 1/10x + 12 = 1/2x where x is the total amount that can fit in the container.
1/10x + 12 = 1/2x (Move your x's to the same side.)
12 = 1/2x - 1/10x (Find a common denominator.)
12 = 5/10x - 1/10x (Simplify/)
12 = 4/10x (Multiply both sides by 10; your demoninator)
120 = 4x (Divide)
x = 30
Your container holds 30 gallons.
how many planes of symmetry does a rectangular pyramid has?
Answer:
6
Step-by-step explanation:
One metre of material costs Rx. Write an expression to show that 8 metres cost R116.
Answer:
8x = R116
x = R14.5
Step-by-step explanation:
1 metre costs = x
8 metres cost = 8x
8x = 116 is the required equationx = 116/8x = 14.5Answer is: R14.5
Give the range of the set of ordered pairs for this discrete data:
(-8, 6),(2. 11),(7, 21), (9,-3)
Answer:
8,6 2,11 7,21
Step-by-step explanation:
easy peasy
Does (3, 0) make the equation y = x true?
Hey there! I'm happy to help!
This does not satisfy the equation y=x as x and y have two different values. 0 and 3 are not equal. A point like (3,3) would satisfy that equation.
Have a wonderful day! :D
