Given:
Point O is on line segment NP.
OP=10, NP=2x, and NO=x+7.
To find:
The numerical length of NO.
Solution:
If point O is on line segment NP, then by segment addition property, we get
[tex]NP=NO+OP[/tex]
[tex]2x=(x+7)+10[/tex]
[tex]2x=x+17[/tex]
Subtract both sides by x.
[tex]2x-x=17[/tex]
[tex]x=17[/tex]
The value of x is 17.
Now,
[tex]NO=x+7[/tex]
[tex]NO=17+7[/tex]
[tex]NO=24[/tex]
Therefore, the numerical length of NO is 24units.
−3 2/7−(−5/7) plz help me
Answer:
-2 or -14/7 (they're the same)
Step-by-step explanation:
Write it out: [tex]-3\frac{2}{7} - (-\frac{5}{7})[/tex] Simplify. It should now look like this: [tex]-3\frac{2}{7} + \frac{5}{7}[/tex] Turn -3 2/7 into an improper fraction. It should now look like this: -19/7Add: [tex]-\frac{19}{7} + \frac{5}{7} = -\frac{14}{7} = -2[/tex]I hope this helps!
Answer:
- 2 ⁴/₇Step-by-step explanation:
-3 ²/₇ - ( - ⁵/₇)
- 23 / 7 + 5 / 7
_ 23 + 5
7
_ 18
7
- 2 ⁴/₇
Robert and his younger sister are selling gift wrap to raise funds for the middle school band. Robert's sales are 2.5 times his sister's sales. Their total sales together can be represented by the equation x+2.5x= 63 . Which of these statements are true? Choose ALL that are correct. A. Robert's sales are represented by x when solving 3.5x= 63 . B. Robert's sister's sales total $18.00. C. Robert's sales total $25.20. D. Robert's sister's sales are represented by x when solving 3.5x= 63 . E. Robert's sales are represented by x when solving 2.6x= 63 .
Answer:
The answer is B. and D.
Step-by-step explanation:
if you solve the equation, you will find that X=18. Since his sister's sales are X, his sister sold 18. You multiply by 2.5 to find Robert's sales.
The correct statements are (B) and (D).
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equation is x + 2.5x = 63.
Note that Robert's sales are 2.5 times his sister's sales, therefore, if his sister's sales is x then his sales are 2.5x
Hence, option (A) is incorrect, as Robert's sales are 2.5x.
Solve the equation as follows:
x + 2.5x = 63
3.5x = 63
x = 63/3.5
x = 18
Hence, option (B) is correct.
Since x=18, Robert's sales are:
2.5 × 18
= 45
Hence, option (C) is incorrect, as Robert's sales are $45, not $25.20.
Option (D) is already shown to be correct.
Option (E) is also incorrect, as option (D) is correct.
Hence, the correct statements are (B) and (D).
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Help PLEEEASE QUICK
f(x) = -2x, g(x)= -2x-1
Answer:
I graphed the two points on a graph in the attachment! Hope this helps! :)
Step-by-step explanation:
A farmer has 140 bushels of corn for sale at a farmers market. He sells an average of 15 1/8 bushels each day. After 6 days, what is the change in the total number of bushels the farmer had for sale at the farmers market
Step-by-step explanation:
farmer has 140 bushels of corn for sale at a farmers market. He sells an average of 15 1/8 bushels each day. After 6 days, what is the change in the total number of bushels the farmer had for sale at the farmers market
A sample of copper (Cu) contains 69.17% Cu-63. The remaining copper atoms are Cu-65. What is the average atomic mass of copper?
Which of the following options represents the graph of the function show above? f(x) = (x+3) ^3- 1
f(x) = (x-3) ^311
f(x) = (x-3)^3+ 1
f(x) = ( x + 3)^3+1
Answer:
C
Step-by-step explanation:
First, notice that this is a cubic function.
The standard form for a cubic function is:
[tex]f(x)=a(x-b)^3+c[/tex]
Where a is the vertical stretch, b is the horizontal shift, and c is the vertical shift.
From our graph, we can see that unlike the parent function, x³, this cubic is 3 units to the right and 1 unit up from the standard position.
Therefore, our b is +3 and c is +1. Let's substitute these values. Also, let's assume a is 1. So:
[tex]f(x)=(x-3)^3+1[/tex]
Therefore, our answer is C.
And we're done!
Mary Robertson sells tires at large car service. she earn 10% commesstion
At 7 A.M the temperature was 4 .At 9A.M it was a degrees warmer. What was the temperature at 9 A.M
Answer:
5 I’m guessing
Step-by-step explanation:
If it’s a degrees warmer and to the right of a number line is warm in weather then it would be 5.
I need help ASAP please
Answer: x =168
Step-by-step explanation:I think it would be 80 plus 88 so its 168.
Does anyone know the answer to this?
Answer:
(B) The exponents should be subtracted by the quotient rule of exponents
Step-by-step explanation:
Let's examine how this was solved.
[tex](\frac{4^2 4^3}{4^{-5}})^2[/tex]
He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.
[tex]\frac{4^4 4^6}{4^{-10}}[/tex]
He then combined the numerator exponents. Exponent rules say that [tex]a^b \cdot a^c = a^b+c[/tex], so he should have ended up with [tex]4^{10}[/tex], which he did. This is correct.
[tex]\frac{4^{10}}{4^{-10}}[/tex]
Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have [tex]\frac{a^b}{a^c}[/tex], it equals [tex]a^{b-c}[/tex].
[tex]10 - (-10) = 10+10 = 20[/tex]
So the final answer should have been [tex]4^{20}[/tex]
Hope this helped!
1. f(x) = 9x^2 - 3
Find the vertex
What is the value of n - 7 when n = 14?
21
2
7
9
Answer:
C) 7
Step-by-step explanation:
Plug in 14 for n in the equation.
n - 7
14 - 7
Subtract: 14 - 7 = 7
C) 7 is your answer.
~
Boxes of tinned cat food are delivered to a shop. There are 28 boxes and in each box there are 16 tins how much is there all together ??
Answer:
448
Step-by-step explanation:
You just need to multiply 28 by 16
2. -5x – y = 7
I need help to solve for y
Answer:
y= -7 - 5x
Step-by-step explanation:
Move all of the terms that dont contain y to the right side and then solve it.
Hope this helps.
The value of the given equation in the form of y is y= -7 - 5x.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given equation is -5x – y = 7. The value of the expression for the value of y will be calculated as below:-
-5x – y = 7
-y = 7 + 5x
y = -7 - 5x
Therefore, the value of the given equation in the form of y is y= -7 - 5x.
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The two rectangles in the sketch below are congruent. Which sequence exhibits their congruence? A rotation 90° clockwise about the origin followed by a reflection across the x-axis A rotation 90° counterclockwise about the origin followed by a reflection across the y-axis A rotation 90° counterclockwise about the origin followed by a reflection across the x-axis A rotation 180° counterclockwise about the origin followed by a reflection across the y-axis
Answer:
A rotation 90° counterclockwise about the origin followed by a reflection across the x-axis
Step-by-step explanation:
it's rotated about the origin counterclockwise by 90 degrees and then reflected over the X axis in order to find the shape there.
which expression is equivalent to 42+90?
Step-by-step explanation:
42+90 can be written in many ways.
Fore example, it can be written with double negatives, or even commutative property.
42-(-90) or 90+42
(21x2)+(45x2) or (6x7)+(3x30)
Sorry if it's wrong...
0.7+y=−1.34 please and thank you
Answer:
0.64
Step-by-step explanation:
1) Subtract 0.7 from 1.34 and you will get 0.64
Hope this helps!
10. A movie theater sells 3 different sizes of popcorn: small, medium, and large. An order of popcorn comes with 4 different topping choices: butter, cheese, caramel, or salt. [4 points] How many unique ways can you order a bag of popcorn? (You can only select one topping.) Ans:_ What is the probability that a randomly selected popcorn is large with either butter or salt?
Answer: 12
Step-by-step explanation:
The answer is 12 because:
sizes are 3
toppings are 4
Using the Fundamental Counting Principal you multiple the selections
( 3 x 4=12)
So just learn the fundamental counting principal and it'll be easier. :)
The number of unique ways that you can order a bag of popcorn if you can only select one topping is 12 ways.
How do solve probability combinations?Combinations in probability refer to sequences of outcomes where the order does not matter.
Combinations are a way to calculate the total outcomes of an event where the order of the outcomes does not matter. To calculate combinations, we will use the formula nCr = n! / r! × (n - r)! where n represents the total number of items, and r represents the number of items being chosen at a time.
We are given the 3 different sizes of popcorn as;
Small
Medium
Large
Now, we are told that an order of popcorn comes with 4 different topping choices. Thus;
A number of unique ways that you can order a bag of popcorn are;
N = 3×4 = 12 unique ways
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I need help on numbers 1 & 2 please! it’s due at 11:59 tonight
Answer:
I'm not completely sure on number 2 and I don't want to give you a wrong answer but 1 is y=6.5x
I'm not completely sure on number 2 and I don't want to give you a wrong answer but 1 is y=6.5x
AC=x+165,AB=48 and BC=2x+139. Find x
Answer:
Assuming A, B, and C are collinear and B is between A and C then x = -2 2Step-by-step explanation:
Assuming A, B, and C are collinear and B is beetween A and C
AB + BC = AC
48 + 2x + 139 = x + 165
2x + 187 = x + 165
x = -22
Please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. true
2. true
3. false
4. false
5. true
6. false
7. fase
8. true
Everyday my cousin and I played a game of chess. To make it interesting, whoever lost the game owes a chocolate to the other. We played many games of chess over many days. After the last game we played, we counted the number of games each of us had won and lost. Since I won more than her, she handed me 29 chocolates, even though she did win 5 games. How many total games did we play?
Answer:
34, I think.
Step-by-step explanation:
if you have 29 chocolates, and she won 5, 29+5 equals 34
Answer:
did you post anything on this I see nothing?
Are same side exterior angles congruent
write 40/17
as a decimal rounded to the nearest hundredth.
I even tried this and couldn't figure it out
B
D
E
С
3
In the figure above, tan B
If BC = 15 and DA = 4, what is the length of DE
Answer:
Step-by-step explanation:
{y2+8y−128=0x=34⋅(y+4) ... The two right triangle are similar, so: BDAB=DEAC. From this, I obtain: ... AC=3x AB=4x (3x)²+(4x)²=225 x=3 BD=8 AB/AC=BD/DE 12/9=8/DE DE=6.
The length of segment DE in the given triangle is 6 units.
What are trigonometric ratios?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Given that, a right-angled triangle ABC, with a segment DE, where tan B = 3/4, BC = 15 and DA = 4
Since, tan B = 3/4
Cos B = 4/5
Cos B = AB / BC
therefore,
4/5 = AB / 15
AB = 12
BD = AB - AD = 12-4
BD = 8
Now, Tan B = 3/4
DE / BD = 3/4
DE / 8 = 3/4
DE = 6 units
Hence, the length of segment DE in the given triangle is 6 units.
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i just need some help honestly
Since PQ = QR = RS,
Let's set PQ equal to RS
2x + 3 = x + 10
Subtract x and 3 from both sides.
x = 7
PQ = 2x + 3 = 2(7) + 3 = 14 + 3 = 17
Since PQ = QR = RS,
QR = 17
HEELLPPP!!!!!! PLZ!!! 3÷9+12-6+13
Answer:
19.33
Step-by-step explanation:
Help me please thank you