To represent the sentence 'Nine times the difference of 8 and a number.' as an algebraic expression, we can use the expression 9(8 - x), where x represents 'a number'.
Explanation:To represent the sentence 'Nine times the difference of 8 and a number.' as an algebraic expression, we can start by assigning the letter x to represent a number. Then, we can write the expression as 9(8 - x), where 8 - x represents the difference of 8 and the number x.
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The given sentence 'Nine times the difference of 8 and a number' can be translated into the algebraic expression 9(8 - x).
Explanation:The given sentence, 'Nine times the difference of 8 and a number' can be represented as an algebraic expression as follows: First, identify the operation for 'difference' which is subtraction. Then, identify the 'number', which is given as x. So, 'the difference of 8 and a number' would be 8 - x. 'Nine times the difference' implies multiplication, so the entire expression would be 9(8 - x). Therefore, the algebraic expression to represent the sentence in question is 9(8 - x).
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Solve for x: −2(x + 3) = −2(x + 1) − 4. (1 point) a 2 b 3 c All real numbers d No solution
-2(x + 3) = -2(x + 1) - 4
-2x - 6 = -2x - 2 - 4 distributed -2 on the left and on the right
-2x - 6 = -2x - 6
+2x +2x
-6 = -6
TRUE
Since this is a true statement, there are infinite solutions (aka All Real Numbers)
Answer: C
Which answer shows 2.13786 x 10 to the power of 4 written in standard form?
2.13786 X 10 to the power of 4 equals 21378.6
Answer:
Which answer shows 2.13786 times 10 Superscript 4 written in standard form? Option C
(C) 21,378.6 <====== Hope this helps
Step-by-step explanation:
Scientific Notation:
2.13786*10^4
Expanded Form: 21378.6
What is the coefficient in the expression x/3+7 ? Enter your answer in the box.
The coefficient in the expression x/3 + 7 is 1/3, as the variable x is being divided by 3, indicating an implied multiplication of 1/3 times x.
Explanation:In the expression x/3 + 7, the term x/3 has a coefficient which is the number multiplying the variable x. In this case, the coefficient is 1/3 because x can be thought of as 1x and it is being divided by 3, so the coefficient for x is actually 1/3. The number 7 in the expression is a constant and not a coefficient because it does not multiply a variable.
To find a coefficient, you generally look for the number that is directly multiplied by the variable. In the given expression, since there is a division by 3, we treat 1/3 as the coefficient, which is an implied multiplication by x. Therefore, the coefficient of the variable x in the expression x/3 + 7 is 1/3.
mattttttttttthhhhhhhhhhhh , i need help
1.
Solve the following system of equations:
2x+3y=19
3x+2y=16
What is the sum of x and y?
a.7
b.8
c.16
d.10
e.4
What is the value of c in the equation 2a+3b+5=c if a=3 and b=-3
We have 2 x 3 + 3 x (-3) + 5 = c;
Then, 6 - 9 + 5 = c;
- 4 + 5 = c;
1 = c;
Finally, c = 1.
Bashir works in a weather station and has launched a weather balloon. The height of the balloon is 4 kilometers and it is 1 kilometer from the station. In kilometers, what is the approximate distance between the station and the balloon?
Consider triangle WBG, where points W, B and G represent Weather Station, Balloon and Ground, respectively. This triangle is right with right angle at vertex G. The legs of this triangle are GB and GW, the hypotenuse is BW.
From the question you know that GB=4 km and GW=1 km. By the Pythagorean theorem,
[tex]BW^2=GB^2+GW^2,\\ \\BW^2=4^2+1^2,\\ \\BW^2=17,\\ \\BW=\sqrt{17}\approx 4.123\text{ km.}[/tex]
Answer: nearly 4.123 km
Answer:
it is c 4.1
Step-by-step explanation:
What is 1.4x-0.4(t-3.1)=5.8 as a decimal?
This took me a bit to complete but this is what i got as an answer so hopefully this helps also the lines are supposed to go on top of both equations but if helpfull match up the lines on paper (Frist line starts on top of the 2 second line starts on top of the 5)
----------- ---------
[tex]x=0.285714t+3.2571428[/tex] or [tex]t=3.5x -11.4[/tex]
1.4x - 0.4(t - 3.1) = 5.8
1.4x - 0.4t + 1.24 = 5.8 distributed 0.4 on left side
1.4x - 0.4t = 3.56 subtracted 1.24 from both sides
This is as far as you can go if they are different variables
************************************************************************
If you typed it wrong and they are supposed to be the same variable, then:
1.4x - 0.4x = 3.56
1.0x = 3.56
x = 3.56
Help!! *****20 Points!*****
Answer:i will help you what is the question
Step-by-step explanation:
Answer:
Where is the question?
Step-by-step explanation:
Choose the number sentence that shows the distributive property of multiplication over addition.
A.
5 × (8 + 2) = (5 + 8) × (5 + 2)
B.
5 × (8 + 2) = (5 × 8) + 2
C.
5 × (8 + 2) = (5 × 8) + (5 × 2)
C
5 × (8 + 2 ) = 5(8 + 2) = (5 × 8 ) + (5 × 2)
In a sale, there is 50% off all prices. A chair costs ?17.50 in the sale. How much was it before the sale?
layla earned $42.00 babysitting in two days. She worked 2.25 hours yesterday and 3.25 hours today. If layla was paid the same amount every hour she works , how much did she earn per hour?
What is the solution to the system of equations below?
2x-y=10 and y=-1/2x+5
(6, 2)
(6, –2)
(–6, –22)
(–6, 8)
The correct answer is:
(x,y) = (6,2)
Option A would be the correct one.
Answer:
The answer is (6, 2).
Step-by-step explanation:
This is a system of equations so we have to replace one equation in the other one, this is:
[tex]2x-y=10[/tex] Eq. 1
[tex]y=-\frac{1}{2}x+5[/tex] Eq. 2
Replacing the Eq. 2 in the Eq. 1, we have:
[tex]2x-(-\frac{1}{2}x+5)=10[/tex]
[tex]2x+\frac{1}{2}x-5=10[/tex]
[tex]2.5x=10+5[/tex]
[tex]x=\frac{15}{2.5}[/tex]
[tex]x=6[/tex]
Now we have that x=6, we can replace it in the Eq. 2:
[tex]y=-\frac{1}{2} *6+5\\y=-3+5\\y=2[/tex]
Now y=2
From the above we have that the answer is (6, 2) expressed in Cartesian coordinates.
Please help me
10 points
In step 2, multiply what is inside the parentheses by 7 (distributive property):
7 * x = 7x
7 * 3 = 21
In step 3, subtract -7x on both sides of the equation. (Property of subtraction of equality)
Then -7x + 4x = -3x
7x-7x + 21 = 21
In step 4, both sides of the equation are divided by -3.
So (owned by the equality division)
-3x / -3 = x
-21 / -3 = 7
Remember that the division of equal signs results in a positive number.
4x = 7(x-3) Given equation
4x = 7x - 21 7 is distributed inside the parenthesis . So the property used here
is distributive property
-3x = -21 7x is subtracted from both sides. 4x-7x is -3x. So the property used
here is subtraction property of equality.
x = 7 -3 is divided on both sides. -21/3 is 7. So the property used
here is division property of equality.
HELP MEH YOU GET 18 points!
Rotating 90° clockwise from quadrant 2 means you are reflecting over the y-axis into quadrant 1. What do quadrant 1 coordinates look like? both x and y are positive and are reversed.
(-x, y) → (y, x)
A: (-8, 1) → (1, 8)
B: (-6, 4) → (4, 6)
C: (-2, 1) → (1, 2)
A. (-8, 1) → (1, 8)
C. (-2, 1) → (1, 2)
im so sorry but i dont know what b. is hope this helps tho :)
¿qué porcentaje de rebaja se hace en una deuda de $ 4.500 que se reduce a $ 3.600
[tex]\frac{new - original}{original} * 100[/tex] = percent change
[tex]\frac{3600 - 4500}{34500} * 100[/tex] = percent change
[tex]\frac{-900}{4500} * 100[/tex] = percent change
-0.20 * 100 = percent change
-20% = percent change
Answer: reduced 20%
Three times the sum of two times a number and five is fifty-one
IS THIS RIGHT? HELP ME CORRECT PLEASE
Answer:
a) the no of coupons used at a super market cannot be normal as the no of coupons will not be symmetrical about the mean. In other words, the no of coupons will be increasing and hence curve cannot be bell shaped as in normal. So not normal
2) The weights of pumpkins that are delivered to a supermarket will be normal provided the number of pumpkins is large. This is because of central limit theorem that the average weight of pumpkin will follow a normal distribution when sample size becomes large.
3) This is a discrete distribution because no of raisins is countable and hence cannot follow a normal distribution. Normal distribution is meant for only continuous variables.
4) The amount of time customers spend waiting will follow an exponential distribution and cannot be normal
Step-by-step explanation:
A equals 190 and B equals 480 what is the ratio of A to B
If the blue radius below is perpendicular to the chord AC, which is 6 units long, what is the length of the segment AB?
A. 1.5 units
B. 6 units
C. 3 units
D. 12 units
Answer:
3 units bruh
Step-by-step explanation:
The length of the segment AB is 3 unit.
What is Property of Circle?According to a property of circles, when a line passes through the center of a circle and is perpendicular to a chord, it divides the chord into two equal parts, essentially bisecting it.
We have,
Chord AC = 6 units
Now, we know that when the diameter is perpendicular to the chord bisect the chord and arc
Then, AB = CB
Thus, the length of the segment AB will be:
AC = AB + CB
6 = x + x
2x = 6
x= 3
AB = 3 unit
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Write a problem situation for this inequality 72-12a<24
Answer:
Subtracted 12 times a number from 72 is less than 24.
Step by step solution
Given inequality is [tex]72-12a<24[/tex]
We need to write in word.
12a means 12 times a number “a”
72-12a means subtract 12a from 72.
72-12a<24 means result is less than 24.
Inequality shows “Subtracted 12 times a number from 72 is less than 24”
If we solve for number “a”
-12a<24-72
-12a<-24
a>2
All the number greater than 2 satisfy the given inequality.
If a goat is reduced by 19% in a sale to £25.92, find the original price
Answer:
32 dollars
Step-by-step explanation:
Given that selling price of a goat after reduced by 19% is 25.92.
We have to find the original price of the goat.
Let original price = 100
Reduced % = 19
Selling price = 81
81 dollars is equivalent to selling price of 25.92 $
100 dollars is equivalent to selling price of 100(25.92)/81 = 32 $
The lengths of the sides of a triangle are consecutive odd integers. The perimeter of the triangle is 249cm. Find the lengths of the sides.
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:
Same number on both dice +3
Different numbers, with an even sum +1
An odd sum -2
In the first five rounds, Chloe had a combined score of 1 point. Determine what five types of rolls she had in these first rounds. Express your answer in complete sentences.
Answer:
As written in the question Abbie, Chloe, and Xander are playing a dice game.
They are playing with two dices.
Rules are
Same number on both dice= +3
Different numbers, with an even sum= +1
An odd sum= -2
After five rounds score of Chloe=+1
→1=3+1+(-2)+(-2)+1
⇒ Same number on both dice ( in first throw)+Different numbers ,with an even sum (in second throw)+An odd sum(third throw)+An odd sum(fourth throw)+Different numbers ,with an even sum (in fifth throw)
As you can alter the arrangement ,In each case you will get sum as(+1), as integers Satisfy both Commutativity and Associativity with respect to addition.
Answer:
this was also my homework :O
Step-by-step explanation:
Choose the statement that correctly lists equivalent ratios.
A.
1 : 6 = 20 : 120 = 5 : 30
B.
1 : 6 = 4 : 18 = 6 : 36
C.
1 : 8 = 20 : 120 = 3 : 24
D.
1 : 8 = 3 : 32 = 5 : 48
A. 1 : 6 = 20 : 120 = 5 : 30
1*20 : 6*20 = 20 : 120
1*5 : 6 * 5 = 5 : 30
So they are equivalent ratios
B. 1 : 6 = 4 : 18 = 6 : 36
1*4 : 6*4 = 4 : 24 which is not equivalent to 4 : 18
so, they are not equivalent ratios
C. 1 : 8 = 20 : 120 = 3 : 24
1*20 : 8*20 = 20 : 160 which is not equivalent to 20 : 120
so, they are not equivalent ratios
D. 1 : 8 = 3 : 32 = 5 : 48
1*3 : 8*3 = 3 : 24 which is not equivalent to 3 : 32
so, they are not equivalent ratios
Answer:
a. yes b. no c. no d. no
Step-by-step explanation:
Given the following diagram, find the missing measure.
Given:
m P = m 2; m P =
30
45
60
90
Answer:
m∠P = 45°Step-by-step explanation:
If m∠P = m∠2 then it's an isosceles triangle.
m∠M = 90°, therefore it's an isosceles right triangle.
We know, the sum of measures of angles in a triangle is equal 180°.
Therefore we have the equation:
m∠P + m∠2 + m∠M = 180°
Substitute m∠M = 90° and m∠P = m∠2 = x:
x + x + 90° = 180° substract 90° from both sides
2x = 90° divide both sides by 2
x = 45° → m∠P = 45°
Answer: b) 45
Step-by-step explanation:
Preston is making cookies. He has fraction 4/5 cup of flour in a bag. He then used two fraction 1/ 10 cup scoops of flour for his recipe. Which of these best explains the amount of flour left in the bag?
What are the answer choices?
the answer is 6/10.
HOPE IT HELPS.
-crhinds1
Wich number rounded to the nearest hundred thousend si 800,000 use the number to help you
the number that would have rounded to 800,000 would have been 10,000 so it would have been 70,000
What are the zeros of the function?
f(x) = x (x - 4)(x + 8)
Select each correct answer.
A) -8
B) -4
C) 0
D) 4
E) 8
The zeros of the function f(x) = x(x -4)((x + 8) is 0, 4 and -8. The correct options for the zeros of the function are: A, C, D
The zeros of a function are the values of the variables x for which f(x) is said to be equal to zero. From the given function, we will replace the value of x with zero and solve the function, the variable we get at the end of the solution are the zeros of the given function.
SO,
f(x) = x (x - 4)(x + 8)
Now, the zeros of the function can be computed as:
f(0) = 0 (0 - 4)(0 + 8)
f(0) = 0 ( -4) (8)
∴
f(0) = x or x - 4 or x + 8
f(0) = x or x = 4 or x = -8
Therefore, the correct options for the zeros of the function are: A, C, D
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HELP ME PLEASE!!! WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!! picture below
The graph of f(t) = 4 • 2t shows the value of a rare coin in year t. What is the meaning of the y-intercept?
A. Every year the coin is worth 4 more dollars.
B. When it was purchased (year 0), the coin was worth $4.
C. In year 1, the coin was worth $8.
D. When it was purchased (year 0), the coin was worth $2.
Answer:
4 units
Step-by-step explanation:
First of all, notice that the graph is NOT a straight line. That means we should have written f(t) = 4*2^t instead of f(t) = 4*2t.
In words: the value of this coin is 4 units at time t=0 and grows exponentially with time.
This is an exponential function. The y-intercept is obtained by letting t = 0 and evaluating f(0) = 4*2^0. This is equal to 4*1, or just 4. Once again, the y-intercept represents the initial value of the coin.
At imelda's fruit stand, you bought 555 apples and 444 oranges for \$10$10dollar sign, 10, and your friend bought 555 apples and 555 oranges for \$11$11dollar sign, 11.
using this information, is it possible to determine the cost of one apple and one orange from the fruit stand? If so, what do they cost? If not, why not?
You bought 555 apples and 444 oranges and your friend bought 555 apples and 555 oranges. He bought 555-444=111 oranges more than you bought.
You paid $10, he paid $11, then he paid $1 more than you paid.
This means that 111 oranges cost $1.
Thus, 444 oranges cost $4 and 555 apples cost $10-$4=$6.
1. If 111 oranges cost $1, then 1 orange cost [tex]\$\dfrac{1}{111} .[/tex]
2. If 555 apples cost $6, then 1 apple cost [tex]\$\dfrac{6}{555}=\dfrac{2}{185}.[/tex]
Answer:
Each apple costs $1.20 and each orange costs $1.
Step-by-step explanation:
Let x represent the number of apples and y represent the number of oranges.
For the fruit you bought, 5 apples and 4 oranges, we have 5x+4y. This costs $10. This gives us the equation
5x+4y = 10
For the fruit your friend bought, 5 apples and 5 oranges, we have 5x+5y. This costs $11. This gives us the equation
5x+5y = 11
Together we have the system
[tex]\left \{ {{5x+4y=10} \atop {5x+5y=11}} \right.[/tex]
We will eliminate x by subtracting the bottom equation from the top:
[tex]\left \{ {{5x+4y=10} \atop {-(5x+5y=11)}} \right. \\\\-1y = -1[/tex]
Divide both sides by -1:
-1y/-1 = -1/-1
y = 1
Each orange costs $1.
Substitute this into the first equation:
5x+4(1) = 10
5x+4 = 10
Subtract 4 from each side:
5x+4-4 = 10-4
5x = 6
Divide both sides by 5:
5x/5 = 6/5
x = 1.2
Each apple costs $1.20.