Answer:
1.94
Step-by-step explanation:
Let the number be x
So when three times a number which is positive which means when a number is x so three times a number must be 3x is subtracted from the square of that number ,
now the number 3x is subtracted from its own square i guess it should look like this
[tex](3x)^2-3x[/tex]
and the answer is 28 so the final form of the problem should be
[tex](3x)^2-3x=28[/tex]
[tex]9x^{2} -3x-28=0[/tex]
now we solve the quadratic equation by using the quadratic formula and we two values for x
one is a positive value and the other is negative value we take the positive value as said in the question itself "when three times a number which is positive" so that value of x is 1.94
1. Which set of numbers includes the square root of 42?
a) irrational number
b) integers
c) rational numbers
d) whole numbers
2. What is the name of this set?
{ … -3, -2, -1, 0, 1, 2 3, …}
a) real numbers
b) integers
c) rational numbers
d) whole numbers
3. Which set does not include negative numbers?
a) real numbers
b) integers
c) rational numbers
d) whole numbers
4. Which of these equals an integer?
a) 12 ¸ 5
b) -12 ¸ 5
c) -15 ¸ 4
d) -15 ¸ 5
5. Which of these is closest to 150?
a) 12.2
b) 12.4
c) 14.2
d) 15
Answer:
C,B,D,A,D
Step-by-step explanation:
1 less than the quotient of a number n and 6
Answer:
(n/6) - 1
Step-by-step explanation:
Quotient means to divide so the Expression will be (n/6)- 1
The temperatures in my town one week in December were 3°F, 10°F, 5°F, 18°F, 7°F, 3°F, and 3°F. What was the mean temperature that week?
Answer:
It was 3
Step-by-step explanation:
This is because its the one clóset to 0
I hope this help you out
How many $4.30 packets of sugar can be bought for $24.00?
Answer:
About 5 and a half
Step-by-step explanation:
Heeeeeeeeeeeeeeeeeeeelp asap due today at 7
Answer:
1. 3 hours
2. i cant figure this one out
Step-by-step explanation:
Answer:
Haha
Step-by-step explanation:
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wrgwrgweg
ttrtrtttgb
trbtgrbgttr
bheetbg
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bertertgetfhjgeyfguiwrehodvqeiir
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Gregory applies honey to one side of his toast. He wants to estimate the likelihood that the toast will land with the honey side facing up when dropped. He drops the toast 40 times and finds that it lands with the honey side facing up 8 times. From this data, it is that the toast will land with the honey side facing down.
Answer:
A) likely
Step-by-step explanation:
It is likely that the toast will land with the honey side facing down. This is because if we find the percentage of chance/probability of the honey side facing down using the data provided it would be the following...
8 / 40 = 0.20 .... times 100 to find percentage value
0.20 * 100 = 20%
We see that there is a 20% that the honey side will land facing down every time that you drop the piece of toast. This means that there is an 80% chance that the honey side will land facing down which is ultimately a high probability and a very likely chance of it happening.
Answer:
It is likely, I got it right on the test.
Step-by-step explanation:
A library has an initial late fee of $0.50 cents and charges an additional $0.05 per day. What is the rate of change?
Answer:
$0.05 per day
Step-by-step explanation:
So we know that the initial late fee would be $0.50. For every additional day, the fee increases by $0.05. The rate of change would be the rate at which the cost of the fee changes.
Note, the initial value does not affect the rate of change.
The initial late fee of $0.50 would not affect the rate of change, so we can ignore that piece of information.
Since the fee increases by $0.05 daily, $0.05 per day would be the rate of change.
I hope this helps.
$16.99 cap; 20% discount
Answer:
$13.59
Step-by-step explanation:
your answer needs to be atleast 20 characters long
Answer:
$13.592
Explanation:
$16.99 cap , discount 20%
new price = 100-20/100× 16.99 = $13.592
david and Jack share $120 in the ratio 3:5.how much did david get ?
Answer:
$45
Step-by-step explanation:
ratio is 3:5
David gets 3x, Jack gets 5x
So, 3x+5x=120
8x=120
x=15
David got 3x = 3*15 = $45
Answer:
45$
Step-by-step explanation:
120/8=15
15*3=45
because it is 3:5 ratio
5. 27a3+216b3 ???
tomorrow is the submission :(
Answer:
(3a +6b) (9a² - 18ab + 36b²)
Step-by-step explanation:
27 = 3 * 3 * 3 = 3³
216 = 6 * 6 * 6 = 6³
a³ + b³ = (a + b)(a² - ab + b²)
27a³ + 216b³ = (3a)³ + (6b)³
= (3a + 6b)( (3a)² - 3a*6b + (6b)² )
= (3a +6b) (9a² - 18ab + 36b²)
In 2001, Takeru Kobayashi set a world record for the consuming the most hot dogs in 12 minutes. He ate 12 hot dogs in the first three minutes. Approximately, how many hot dogs did he eat during the 12 minute contest?
Answer: 48
Step 1: Find how much 12 is of 48.
12 = 1/4 of 48
Step 2: Multiply 12 by 3 for 3/4.
12 x 3 = 36.
Step 3: Add the numbers.
12 + 36 = 48
Answer = 48
Approximately, 48 hot dogs did he eat during the 12-minute contest.
What is simplification?One strategy to promote uniformity in work efforts, costs, and time is to simplify procedures. It lessens diversity and variation that is damaging, unnecessary, or meaningless. PEMDAS stands for parenthesis, exponents, multiplication, division, addition, and subtraction. Given two or more operations in a single statement, the order of the letters in PEMDAS tells you what to compute first, second, third, and so on, until the computation is complete.
As a result, Takeru Kobayashi broke the record for eating the hottest dogs in a 12-minute period.
Since,
In the first three minutes, he consumed 12 hot dogs.
in three minutes, he ate = 12 hot dogs
in 1 minute, he ate = 12/3
in 1 minute, he ate = 4
So,
in 12 minutes, the total number of hot dogs he ate = 4*12
in 12 minutes, the total number of hot dogs he ate = was 48
therefore, Approximately, 48 hot dogs did he eat during the 12-minute contest.
Learn more about Simplification here:
https://brainly.com/question/28996879
#SPJ6
Solve for x. -2(x+1/3) +9=4
Answer:
X= 13/6
and in decimal form: x=2.16repeated
Which of these is most likely to form a normal distribution?
10 dice rolled 100 times
10 dice rolled 1 times
10 dice rolled 1000 times
010 dice rolled 10 times
Answer: a distribution with a known shape and other properties.
Step-by-step explanation: 10 dice rolled 1000 times
Answer:is below
Step-by-step explanation:
10 dice rolled 100 times
Write an algebraic expression for the area of the conference room
Answer:
I like yo cut gggggggggggg
Which data values are outliers?
71, 96, 110, 112, 114, 114, 121, 127, 135, 175, 180
Answer: 71, 175, 180
Step-by-step explanation:
Find the interquartile range. 127- 112 = 23 Multiply by 1.5 = 34.5
Add to the mean 114 + 34.5 = 148.5
Subtract from the mean 114 - 34.5 = 79.5
Any number greater than 148.5 or less than 79.5 is considered an outlier
show work
only do those
32,34,36,38,40
Answer: see below
Step-by-step explanation:
[tex]32)\quad \dfrac{3}{5}(x-12)>x-24[/tex]
3(x - 12) > 5(x - 24)
3x - 36 > 5x - 120
-5x -5x
-2x - 36 > -120
+36 +36
-2x > -84
÷ -2 ↓ ÷ -2
x < 42
Graph: ←------------o
42
34) 6[5y - (3y - 1)] ≥ 4(3y - 7)
6[5y - 3y + 1] ≥ 4(3y - 7)
6{2y + 1] ≥ 4(3y - 7)
12y + 6 ≥ 12y - 28
-12y -12y
6 ≥ -28
TRUE so the solution is All Real Numbers
Graph: ←-----------------------→
36) BC + AC > AB
4 + 8 - AB > AB
12 - AB > AB
+AB +AB
12 > 2AB
÷2 ÷2
6 > AB
AB < 6
[tex]38)\quad \dfrac{1}{2}(y-16)\geq y+2\quad ;\text{claim}\ y\leq 20[/tex]
Check: let y = 16
then [tex]\frac{1}{2}[/tex](16 - 16) ≥ 16 + 2
0 ≥ 18
FALSE so the claim is wrong
40) question not provided in the image so I cannot give a solution.
Determine the measure of ∠Z. images attached
Answer:
The answer is option DStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Z
To find the value of ∠Z we use tan
We have
[tex] \tan(∠Z) = \frac{28}{25} \\ ∠Z = { \tan }^{ - 1} \frac{28}{25} \\ ∠Z = 48.239700...[/tex]
We have the final answer as
48.24°Hope this helps you
Answer:
the answer is B)41.76
Step-by-step explanation: I took the test
Solve the absolute value equation. |2x-31| = 17
Answer:
x = 24 x = 7
Step-by-step explanation:
|2x-31| = 17
Absolute value equations have 2 solutions, one positive and one negative
2x-31 = 17 and 2x-31 = -17
Add 31 to each side
2x-31+31 = 17+31 and 2x-31+31 = -17+31
2x = 48 2x = 14
Divide by 2
2x/2 = 48/2 2x/2 = 14/2
x = 24 x = 7
Answer:
24
To find:
x
Step-by-step explanation:
2x-31 = 17
2x=17+31
2x=48
x=48/2
x=24
hope it helps you!
What is the equation of the line that is parallel to the line y = 2x + 6 and goes through point C (8, 1)?
Answer:
y=2x-15
Step-by-step explanation:
In parallel lines the gradient is always the same. then we sub the coordinates in to find c.
so
1=2(8)+c
c equals to -15 t
then
y=2x-15
A store is having a sale on hats. The sale is buy one hat, get one 50% off. The original price of one hat is $34.98. Nate bought several hats, and the
total cost was $262.35.
How many hats did she buy
Answer:
15 hats
Step-by-step explanation:
First off, we need to divide 34.98 by 2 because it is 50 percent off.
We get 17.49 dollars.
262.35/ 17.49 because we need to find out how many hats Nate bought.
We get 15 hats
A bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is 2 over 25 . How many blue marbles are in the bag?
Given:
Total number of marbles = 15
Probability of randomly selecting a green marble = [tex]\dfrac{1}{5}[/tex].
Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble = [tex]\dfrac{2}{25}[/tex].
To find:
The number of blue marbles.
Solution:
Let the number of blue marbles be x.
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]P(Blue)=\dfrac{x}{15}[/tex]
It is given that,
[tex]P(Green)=\dfrac{1}{5}[/tex]
Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is [tex]\dfrac{2}{25}[/tex]. So,
[tex]P(Green)\times P(Blue)=\dfrac{2}{25}[/tex]
[tex]\dfrac{1}{5}\times \dfrac{x}{15}=\dfrac{2}{25}[/tex]
[tex]\dfrac{x}{75}=\dfrac{2}{25}[/tex]
Multiply both sides by 75.
[tex]\dfrac{x}{75}\times 75=\dfrac{2}{25}\times 75[/tex]
[tex]x=2\times 3[/tex]
[tex]x=6[/tex]
Therefore, the number of blue marbles in the bag is 6.
solve for x, 3x + 5 > 88
Answer:
x > 83 / 3
Step-by-step explanation:
Let's solve your inequality step-by-step.
3x+5>88
Step 1: Subtract 5 from both sides.
3x+5−5>88−5
3x>83
Step 2: Divide both sides by 3.
3x/3 > 83/3
x > 83/3
What is the square root of 51.84
The vertices of triangle FGH are F(4, 1), G(0, 3), and H(2, -1). After a translation of 6 units left and 2 units down, triangle FGH becomes triangle F'G'H'. After a translation of 1 unit right and 5 units up, triangle F'G'H' becomes triangle F"G"H". What translation would move triangle FGH to triangle F"G"H" directly? a. 6 units left and 2 units down c. 5 units left and 3 units up b. 1 unit left and 5 units up d. 2 units right and 6 units down Please select the best answer from the choices provided A B C D
Answer:
c. 5 units left and 3 units up
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is translation, rotation, reflection and rotation.
If a point A(x, y) is translated a units right and b units up, the new location is at A'(x+a, y+b), while if a point A(x, y) is translated a units left and b units down, the new location is at A'(x-a, y-b)
The vertices of triangle FGH are F(4, 1), G(0, 3), and H(2, -1). A translation of 6 units left and 2 units down, triangle FGH becomes triangle F'(-2, -1) G'(-6, 1) H'(-4, -3). A translation of 1 unit right and 5 units up, triangle F'G'H' becomes triangle F"(-1, 4) G"(-5, 6) H"(-3, 2)
The translation of FGH to F"G"H" is a translation of (x -5, y + 3), that is 5 units left and 3 units up
Find the values of R, P, and Q that make the polynomial addition problem true. Write your answer in this order: R, P, Q. \left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7 (12x 5 +Rx 4 +Px 2 −5)+(−6x 5 −4x 4 +13x+Q)=6x 5 +3x 4 +9x 2 +13x+7
Given:
[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]
To find:
The values of R, P and Q.
Solution:
We have,
[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]
On combining like terms, we get
[tex](12x^5-6x^5)+(Rx^4-4x^4)+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]
[tex]6x^5+(R-4)x^4+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]
On comparing the coefficients of [tex]x^4[/tex], we get
[tex]R-4=3[/tex]
[tex]R=3+4[/tex]
[tex]R=7[/tex]
On comparing the coefficients of [tex]x^2[/tex], we get
[tex]P=9[/tex]
on comparing the constants, we get
[tex]Q-5=7[/tex]
[tex]Q=7+5[/tex]
[tex]Q=12[/tex]
Therefore, [tex]R=7,P=9[/tex] and [tex]Q=12[/tex].
Find the area of the polygon with
E(3, 1), F(3, – 2), GC – 2, - 2)
Answer:
7.5 square units
Step-by-step explanation:
A = (.5)bh
= (.5)(3)(5)
= (.5)(15)
= 7.5
The parking garage at the airport has 160 empty parking spaces and 240 full parking spaces. What percentage of the spaces in the garage are empty?
Write an expression for the perimeter of the triangle shown below: (4 points)
A triangle is shown with side lengths labeled 0.5x plus 9, 3x, and negative 3.4x minus 25.
A 6.9x − 16
B 6.9x + 16
C 0.1x − 16
D 0.1x + 16
Answer:
The expression of the perimeter of the triangle is 0.1x - 16 ⇒ C
Step-by-step explanation:
The perimeter of a triangle is the sum of the lengths of its sides
Let us solve the problem
∵ The lengths of the sides of a triangle are:
0.5x + 93x-3.4x - 25∵ The perimeter of the triangle = sum of lengths of its sides
∴ The perimeter = (0.5x + 9) + (3x) + (-3.4x - 25)
→ Add the like terms
∵ The perimeter = (0.5x + 3x - 3.4x) + (9 + -25)
→ Remember (+)(-) = (-)
∴ The perimeter = (3.5x - 3.4x) + (9 - 25)
∴ The perimeter = 0.1x + -16
∴ The perimeter = 0.1x - 16
The expression of the perimeter of the triangle is 0.1x - 16
Answer:
C.
Step-by-step explanation:
0.1x − 16
What is 3/4 dived by 1/2
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex]
Since we are dividing by a fraction, we switch [tex]\frac{1}{2}[/tex] to it's reciprocal.
Doing that would make it [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{1}[/tex]. In other words, that is [tex]\frac{3}{4}[/tex] x [tex]2[/tex].
We can use cross multiplying to simplify/solve for it.
(Look at the image to see the cross multiplying).
Therefore, the answer is [tex]\frac{3}{2}[/tex].
which fraction is greater 4/6 or 2/10 or is it equal
Answer: 2/10 is larger
Step-by-step explanation: