The length of a segment is the number of units between its endpoints
The length of YZ is 45 units
How to determine length YZThe given parameters are:
WX = 11x + 1
YZ = 19x - 31
Lengths WX and YZ are congruent.
So, we have:
[tex]19x - 31 = 11x +1[/tex]
Collect like terms
[tex]19x - 11x = 31 +1[/tex]
Evaluate the like terms
[tex]8x = 32[/tex]
Divide both sides by 32
[tex]x = 4[/tex]
Recall that:
YZ = 19x - 31
So, we have:
[tex]YZ = 19*4- 31[/tex]
[tex]YZ = 45[/tex]
Hence, the length of YZ is 45 units
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Bob is saving $250 to buy a new pair of AirPods. He already has $50. Bob is going to save $20 each week until he has enough money to purchase the AirPods.
Iris paid $120.00 for a winter coat. She saved
25% off the original price.
What was the original price of the coat?
Answer:
$160, or answer A
Step-by-step explanation:
If 120 is 25% of the original, or 0.25 of the original(We will call it x), then 120 is 0.75x.
Form an equation like this: 0.75x=120
Turn this into fractions: 3/4x=120/1.
Divide by 3/4 on both sides.
x = 120/1 * 4/3
Simplify to get: 40/1 * 4/1
Multiply to get: 160
The original price of the coat is $160.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given. Iris paid $120 for a winter coat.
She saved 25% off the original price .
We have 4 options $160, $150, $145 and $30.
Now let $160 is the original price,
25% of 160 = 160 x 25 / 100
= $40
Therefore, the original price of the coat is $160.
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simplify this expression
Jana had a bake sale raising money for the March of Dimes Foundation. She sold 30 bags of popcorn and made $90. She sold 15 chocolate chip cookies and made $20. She sold 80 sodas and made $160. She sold 50 bags of chips and made $90. Find the unit price of each item. What was the MOST EXPENSIVE item she sold?
Answer:
popcorn was the most expensive at 3 dollars
Step-by-step explanation:
90/30=3 each
20/15=1.3 each
160/80=2 each
90/50=1.8 each
Answer:
popcorn 3 dollars I am pretty sure it's right
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. -35, -45, -55, -65
Answer: The Given sequence is 9, 10, 11, 12
We need to find the expression to describe the sequence.
Let be the term of the sequence.
Let n represent the position of the term.
Let a be the first term in the sequence.
and d be the common difference between the sequence
Hence the expression to find the above sequence is given below;
when n=1 d= 1 a = 9
when n=2 d= 1 a = 9
when n=3 d= 1 a = 9
when n=3 d= 1 a = 9
Hence the expression is
Step-by-step explanation:
3)
Which describes the slope of the line in the graph?
A)
zero
B)
positive
negative
D)
undefined
Answer:
C. Negative
Step-by-step explanation:
The line is not horizontal or vertical, therefore we the slope cannot be zero or undefined.
This leaves us with either positive or negative...
A positive slope goes from the lower left corner (Quadrant 3) of the graph up to the upper right (Quadrant 1).
A negative slope goes from the upper left corner (Quadrant 2) of the graph down to the lower right (Quadrant 4).
Since this line goes from the upper left corner to the lower right, it has a negative slope
PLSS HELP
Using the above rule, extract the square roots of the given quadratic equation.
(x + 5)2 = 18
x + 6 = IV
x + 6 = 13
Step-by-step explanation:
[tex] \sqrt{(x + 6) ^{2} } = \sqrt{18} \\ x + 6 = + - \sqrt{18} \\ x + 6 = + - \sqrt[3]{2} [/tex]
Which of these are polygons?
Answer:
B , C , D are polygons.i need help with this
Answer:
it should be d.
Step-by-step explanation:
volume of a cone = π x r² x h
volume = π x 4.5² x 3.5
volume = π x 70.825
volume = 222.66 cubic metres
what’s the slope of this
i need help with this
Answer:
B, I believe
Step-by-step explanation:
s=3d-250
s-3d = -250
s=d-208
s-d =-208
I need help with 5and6
Answer:
5) [tex]x^2+151x-264[/tex]
6)[tex]-30a^3-27a^2b+30ab^2+18b^3[/tex]
Step-by-step explanation:
(PLEASE HURRY, WILL GIVE BRAINLIEST TO CORRECT PERSON)
Which transformation was applied to ABC to transform it to DEF?
o A. Reflection over the x-axis
o B. Rotation about the origin
o C. Translation
o D. Reflection over the y-axis
what is the factor form of r^27 - s^30
Answer:
(r^9−s^10) (r^18+r^9s^10+s^20)
witch product is less than
[tex] \frac{5}{8} [/tex]
Answer:
Everything that is lower than 5/8.Step-by-step explanation:
It's pretty obvious.
You need to add 2 fractions up.
If it's lower than 5/8, then you are correct.
What is the exact value of cot
co (3 pie/4)?
Answer:
cot (3ocπ/4)⠀⠀
3(4n-1)-3
facterD
( form
Answer: thats hard
Step-by-step explanation:
Answer:
6(2n-1)
explanation:
→ 3(4n-1)-3
→ 4n(3)-1(3)-3
→ 12n-3-3
→ 12n-6
→ 6(2n-1)
The variables y and x have a proportional relationship, and y = 7 when x = 2. What is the value of y when x = 5? Enter your answer as a decimal in the box.
Answer:
y = 17.5
Step-by-step explanation:
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x = k or y = kx
Find the value of the constant k
we have:
y = 7 and x = 2
substitute
7/2 = k
k = 3.5
Thus, the equation is equal to
y = 3.5x
Find the value of y when x = 5
substitute in the equation
y = 3.5(5) = 17.5
Or we can put as:
y = 7 * 5 /2
Calculate the product or quotient: y = 35/2
Answer = 17.5
[RevyBreeze]
Answer:
y = 17.5
Step-by-step explanation:
If y is proportional to x, then:
[tex]y = kx[/tex] (for some constant k)
Given y = 7 when x = 2:
⇒ 7 = 2k
⇒ k = 3.5
Therefore, [tex]y=3.5x[/tex]
So when x = 5:
⇒ y = 3.5 x 5
⇒ y = 17.5
can a triangle have sides with lengths 2cm, 5cm and 3cm?
emily bought 4 pounds of grapes for $20 .find the unit price A)$5 B)15 c)1 D)20
Answer:
(a)5
Step-by-step explanation:
$20 ÷4 pounds of grapes = $5
How do I solve 6x-15+52=11x-12?
Answer:
x = 49/5 (fraction)
Step-by-step explanation:
Add and subtract the numbers: -15 + 52 =37
6x+37=11x-12
Subtract 37 on both sides:
6x+37-37=11x-12-37
Simplify:
6x=11x-49
Subtract 11x from both sides:
6x-11x=11x-49-11x
Simplify:
-5x=-49
Divide both sides by -5
-5x/-5=-49/-5
= 49/5
I NEED HELP ASAP!!! EXPLAIN YOUR ANSWER to PLEASE!!!
Answer:
Group 1
Group 2
Groups 1 and 2 together
Group 4
Group 4
Step-by-step explanation:
We are looking for the number of children than can ride safely with 4 adults.
Since 4 adults are already seated, A = 4.
We substitute 4 for A in the inequality and solve for C.
150A + 100C + 200 ≤ 1500
150(4) + 100C + 200 ≤ 1500
600 + 100C + 200 ≤ 1500
100C + 800 ≤ 1500
100C ≤ 700
C ≤ 7
Up to 7 children can ride.
Answer:
Group 1
Group 2
Groups 1 and 2 together
Group 4
Group 4
n=2d²-5 when d=-2 what does n=?
Step-by-step explanation:
Substitute d=-2 into the equation:
[tex]n = 2( - 2)^{2} - 5[/tex]
Include the exponent:
[tex]n = 2(4) - 5[/tex]
Multiply:
[tex]n = 8 - 5[/tex]
Subtract:
[tex]n = 3[/tex]
1. In this figure, the unshaded region represents a painting and the shaded region represents a frame around the painting. All angles are night angles 6 in. 10 in 9.5 in 13.5 in (a) What is the area of the painting? Show your work (b) What is the area of the frame? Show your work Answer:
The area of a shape is the amount of space on the shape
The area of the painting is 60 square inchesThe area of the frame is 60.25 square inchesHow to determine the area of the paintingFrom the question, the dimension of the painting is 6 inches by 10 inches
So, the area of the painting is:
Area = 6 * 10
Area = 60 square inches
Hence, the area of the painting is 60 square inches
How to determine the area of the frameFrom the question, the dimension of the picture is 9.5 inches by 13.5 inches
So, the area of the picture is:
Area = 9.5 * 13.5
Area = 128.25 square inches
The area of the frame is the difference between the area of the picture and the painting.
So, we have:
Frame = 128.25 - 60
Frame = 68.25
Hence, the area of the frame is 60.25 square inches
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Consider this equation and inequality. "-x/3+7=4" and "-x/3+7<4" (a)Solve the equation and inequality and show your work.
Answer: equation: x=9 inequality: x>9
Step-by-step explanation: screenshots
What are the zeros of the polynomial function?
f(x)=x2+9x−70
Enter your answers in the boxes.
Guys I’m sorry for so many questions I’m not smart
But anyway can y’all help me plz
Answer:
Its B
Step-by-step explanation:
The answer is B
pls give brainlest thanks
HELP!!!!!!!!!!!!!! I'LL GIVE 20 POINTS!!!!!!!!
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.
g(x) = f(x) + 4
A.
The graph of function f is shifted up 4 units.
B.
The graph of function f is compressed vertically toward the x-axis by a factor of 4.
C.
The graph of function f is stretched vertically away from the x-axis by a factor of 4.
D.
The graph of function f is shifted down 4 units.
Answer:
A
Step-by-step explanation:
The constant 4 is positive so the graph is shifted up by 4 units. If it was instead -4, then the graph would have been shifted down 4 units
4. Find m2ABD.
B
(9x -22)
it
(6x - 7) -
A
D
С
Answer:
23°
Step-by-step explanation:
There is not enough information given in this diagram to provide values for the marked angles. In order to solve the problem, we must assume some relation between those angles.
If they are equal, then ...
9x -22 = 6x -7
3x = 15 . . . . . . . . . . add 22-6x to both sides
x = 5 . . . . . . . . divide both sides by 3
m∠ABD = (9x -22)° = (9·5 -22)° = 23°
the difference between 9 and a number
Answer:
9-4=5
Step-by-step explanation:
Answer:
x=9-y or 9-y=x
Step-by-step explanation:
difference means subtract so nine minus a number equals this number