Answer:
331 the biggest possible number
Which of the following lists of three numbers could form the side lengths of a triangle? [tex]A. $10, 20, 30$B. $122, 257, 137$C. $8.6, 12.2, 2.7$D. $\frac{1}{2}, \frac{1}{5}, \frac{1}{6}$[/tex]
Answer:
B. 122, 257, 137
Step-by-step explanation:
The triangle inequality rule states that the sum of any two sides of a triangle must be greater than the third side. If A, B and C are sides of a triangle then A + B > C, A + C > B, B + C > A
Testing for the options:
1) 10, 20, 30
10 + 20 (= 30) is not greater than 30. It cannot form a triangle
2) 122, 257, 137
122 + 137 (259) is greater than 257. It can form a triangle
3) 8.6, 12.2, 2.7
8.6 + 2.7 (11.3) is not greater than 12.2. It cannot form a triangle
4) 1/2, 1/5, 1/6
1/5 + 1/6 (11//30) is not greater than 1/2. It cannot form a triangle
Combine like terms to create an equivalent expression. -3.6-1.9t+1.2+5.1t
Answer:
3.2t-2.4Step-by-step explanation:
[tex]\\-3.6-1.9t+1.2+5.1t\\\mathrm{Group\:like\:terms}\\\\=-1.9t+5.1t-3.6+1.2\\\\\mathrm{Add\:similar\:elements:}\:-1.9t+5.1t=3.2t\\\\=3.2t-3.6+1.2\\\\=3.2t-2.4[/tex]
Answer:
3.2t -2.4
Step-by-step explanation:
-3.6-1.9t+1.2+5.1t
Like by terms = -1.9t+5.1t - 3.6 +1.2
Solve left to right step 1 = 3.2t - 3.6 +1.2
Solve step 2 = 3.2t - 2.4
Which of the following represents the solution for -2 ≤ 7 - x < 11 ?
Answer:
A
Step-by-step explanation:
- 2 ≤ 7 - x < 11
-9 ≤ - x - x < 4
9 ≥ x x > -4
Answer:
Hey there!
-2 ≤ 7 - x < 11
-9 ≤ - x < 4
9 ≥ x > -4
-4 < x ≤ 9
A closed circle means greater than or equal to or less than or equal to, while an open circle means greater or less than. From this equation, we see that number line A is correct.
Let me know if this helps :)
Make the biggest possible number using the digits below only once 4 , 5 , 5 answer
Answer:
554
Step-by-step explanation:
The largest number (5) should go in the hundreds place, the second-largest number (also 5) should go in the tens place and the smallest number (4) should go in the units place so the answer is 554.
what is the slope for 3y and 5x on a graph?
y=−53xUsing the slope-intercept form, the slope is −53.m=−53
an inch worm is how long in general
Answer:
A inch
Step-by-step explanation:
Simplify the expression. (5x2 - x - 7) + (2x2 + 3x + 4)
Answer:11+2x
Step-by-step explanation:
(10-7-x)+(4+4+3x)
3-x+8+3x
3+8+3x-x
11+2x
Beverly made a deposit of 375 into our checking account. Then she
withdraw $65. The next day, she wrote a check for $135. She had 475 before any of these transactions how much money is in her account now?
Answer:
650
Step-by-step explanation:
475+375-65-135=650
A carpenter has a 10 1/2 foot wood plank. He cuts off 4 1/4 feet to replace a deck board as well as 3 2/3 feet to repair a step. He uses the rest of the plank for a shelf. How many feet of wood does the carpenter have for the shelf? PLEASE SHOW YOUR WORK AND EXPLAIN HOW YOU GOT THE ANSWER PLEASE I WILL MARK YOU BRAINIEST.
Answer:
The carpenter used 2 7/4 feet of plank for the shelf
Step-by-step explanation:
Total length of plank =10 1/2 foot
He used
For Deck board=4 1/4 feet
Step=3 2/3 feet
Shelf=x feet
Total plank=deck board + step + shelf
10 1/2 = 4 1/4 + 3 2/3 + x
Change the fractions
21/2 = 17/4 + 11/3 + x
Add 17/4 + 11/3
21/2 =51+44/12 + x
21/2= 95/12 + x
Collect like terms
21/2 - 95/12 =x
126-95/12 = x
31/12=x
2 7/12 =x
Therefore, the carpenter used 2 7/4 feet of plank for the shelf
Answer:
Step-by-step explanation:
Total length of plank =10 1/2 foot
He used
For Deck board=4 1/4
Step=3 2/3
Shelf=x
Total plank=deck board + step + shelf
10 1/2 = 4 1/4 + 3 2/3 + x
Wait times at a dentist's office are typically 21 minutes, with a standard deviation of 2 minutes. What percentage of people should be seen by the doctor between 17 and 25 minutes for this to be considered a normal distribution?
Answer:
95%
Step by step explanation:
z = 17-21 / 2 and z = 25-21/2
z=-2 (2.28%) z=2 (97.72%)
97.72 - 2.28 = 5.44
100% - 5.44% is about equal to 95%
is this right? someone please check?
Answer:
The answer looks correct.
Step-by-step explanation:
All the other option doesn't match the above question's statement.
The last answer is the correct (in my opinion)
Answer:
Absolutely Correct
Step-by-step explanation:
Based on the definition of midpoint;
It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.
meaning the distance from the midpoint to one end is the same as the distance to the other end
Evaluate 5(14 - 2³) +8 ÷ 2.? Plz help me, will mark you as brainliest A. 26 B. 34 C. 44 D. 56
Answer:
[tex]\large \boxed{\sf B. \ 34}[/tex]
Step-by-step explanation:
[tex]5(14 - 2^3 ) +8 \div 2[/tex]
[tex]\sf Solve \ brackets.[/tex]
[tex]2^3 =8[/tex]
[tex]5(14 - 8 ) +8 \div 2[/tex]
[tex]14-8=6[/tex]
[tex]5(6 ) +8 \div 2[/tex]
[tex]\sf Multiply \ and \ divide.[/tex]
[tex]5(6)=30[/tex]
[tex]8 \div 2 = 4[/tex]
[tex]30 +4[/tex]
[tex]\sf Add.[/tex]
[tex]34[/tex]
Answer: 34
Step-by-step explanation: It's very easy to make mistakes in order of operations problems if you try to do too much of the problem in your head.
It really is worth the extra time it takes to write out every step.
P E M D A S
Parenthses
Exponents
Multiplication/Division
Addition/Subtraction
In this problem, simplify (14 - 2³) first
because it's located inside the parenthses.
2³ is 8 so our second step reads 5(14 - 8) + 8 ÷ 2.
14 - 8 is 6 so we have 5(6) + 8 ÷ 2.
Now multiplication and division are based on order of appearance.
Since multiplication comes first, we do it first.
5(6) is 30 so we have 30 + 8 ÷ 2.
Now we can do the division.
8 ÷ 2 is 4 and we have 30 + 4 which is 34.
pls i want help in this sum
Step-by-step explanation: The first rectangle to the right is 24 because 10+14 equals 24. The rectangle to the left is 19 because 10+9 equals 19. Finally the rectangle on the bottom is 23 because 14+9 is 23
ASAP i need to know the complete working
Answer:
a(1):30%
(2):2135.34
(3):15000
Step-by-step explanation:
a(1):the total is 18750 and 5625 was not taxed therefore 5625 of 18750 was not taxed so get the amount expressed as a percentage by multiplying by 100
{5625/18750}×100
(2):so get the tax from the taxable amount and the taxable amount is 13125 and the tax is 22% of it so (22/100)×13125=2887.5
she takes home the amount remaining after taxation so 18750-2887.5(tax)(don't subtract 5625)=15862.5
she receives the above amount in 52 equal amounts so divide 15862.5/52 to get one amount =305.048 (meaning that per week she receives one of the 52 equal amounts I guess)
(3):so the original salary before moving to A was 100% but after moving it increases by 25 so the salary is 125% =18750(don't deduct tax I guess) so it will be (100/125)×18750
Simplify. Can you explain it also?
[tex] \frac{9 {c}^{3} {de}^{2} }{12 {c}^{2}d {e}^{3} }[/tex]
Answer:
The answer is
[tex] \frac{3c}{4e}[/tex]Step-by-step explanation:
[tex] \frac{9 {c}^{3}d {e}^{2} }{12 {c}^{2} d {e}^{3} } [/tex]To solve the fraction reduce the fraction with d
That's we have
[tex] \frac{9 {c}^{3} {e}^{2} }{12 {c}^{2} {e}^{3} } [/tex]Next simplify the expression using the rules of indices to simplify the letters in the fraction
For c
Since they are dividing we subtract the exponents
We have
[tex] {c}^{3} \div {c}^{2} = {c}^{3 - 2} = c^{1} = c[/tex]For e
[tex]e^{2} \div {e}^{3} = e^{2 - 3} = {e}^{ - 1} = \frac{1}{e} [/tex]Substituting them into the expression we have
[tex] \frac{9c}{12e} [/tex]Reduce the fraction by 3
We have the final answer as
[tex] \frac{3c}{4e} [/tex]Hope this helps you
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes one person \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction of a minute to prepare one bag. How many hours will it take Ashley and 444 of her friends to prepare 157515751575 bags of samples?
Answer:
3 1/2 hours
Step-by-step explanation:
This is a problem in units conversion. We want to get from bags to hours by way of minutes per bag. One bag takes an effort of 2/3 person·minute, so we need to divide the total effort by the number of persons and convert minutes to hours.
(1575 bags)×(2/3 person·min/bag)/(5 person)/(60 min/h)
= (1575)(2/3)(1/5)(1/60) h = 3.5
It will take the 5 of them about 3 1/2 hours to prepare 1575 bags.
Answer:
3 1/2
Step-by-step explanation:
a table was sold at 20%loss but had it sold for RS 160 more these would have been a profit 20%. find cp
Answer:
Rs 400
Step-by-step explanation:
Let us assume that the cost price of the article = x
Selling price = S.P
Cost price = C.P
Loss = %Loss × C.P(percentage loss × Cost Price)
S.P = C.P - Loss
In the question, Loss = 20%
S.P = x - 20x/100
Find the Lowest Common Multiple
S.P= 100x - 20x/100
S.P = 80x/100.........Equation 1
In the question, we are told if the article was sold for RS 160 more, it would have made a profit of 20%
Profit = %profit × C.P(percentage profit × Cost Price)
S.P = C.P + Profit
In the question, profit = 20%
S.P = x + 20x/100
Find the Lowest Common Multiple
S.P= 100x + 20x/100
S.P = 120x/100.........Equation 2
Hence,
Equation 2 - Equation 1 = Rs 160
= 120x/100 - 80x/100 = 160
= 40x/100 = 160
Cross multiply
40x = 100 × 160
40x = 16000
x = 16000/40
x = Rs 400
Since x = Cost price, the cost price of the table = Rs 400
Talia spent \dfrac34 4 3 start fraction, 3, divided by, 4, end fraction of this week's allowance on candy. Of the money she spent on candy, \dfrac56 6 5 start fraction, 5, divided by, 6, end fraction was spent on gummy bears.
Answer:
15/24
Step-by-step explanation:
Talia spent 3/4 of this week's allowance on candy. Of the money she spent on candy, 5/6 was spent on gummy bears.
What fraction of this week's allowance did Talia spend on gummy bears?
Answer: Let this weeks allowance be x. Talia spent 3/4 of the weeks allowance on candy, therefore the money spent on candy = (3/4)x.
Out of the money spent on candy, 5/6 was spent on gummy bears. Therefore the money spent on gummy bears = 5/6 × (3/4)x = (15/24)x.
This means that the fraction of money spent on gummy bears was 15/24 of the weeks allowance.
Solve for h. 3/7=h/14-2/7
Answer:
h = 10
Step-by-step explanation:
Given
[tex]\frac{3}{7}[/tex] = [tex]\frac{h}{14}[/tex] - [tex]\frac{2}{7}[/tex]
Multiply through by 14 to clear the fractions
6 = h - 4 ( add 4 to both sides )
10 = h
Answer:
10
Step-by-step explanation:
We start out with 3/7 = h/14 - 2/7
add 2/7 to both sides:
(5/7) = h/14
Multiply both sides by 14 to get rid of the fraction:
h = 10
A regular pentagon is shown
The perimeter is 125 cm
Write an equation and solve this
to find the value of x.
Answer: The equation is 5x = 125
Step-by-step explanation:
A pentagon is a five sided figure so all the side lengths must be equal. And to find the perimeter of a pentagon the you will the five equal side lengths.
So assume we don't know the side lengths so we will represent it by x and the side lengths are 5 so we will have five x's and they will add up to 125 and that could be represent by the equation.
x + x + x + x + x = 125
5x = 125
x = 25
if one square yard of carpet costs $15.40, how much will 45.5 square yards cost? ( value only, no commas, dollar signs, symbols, or units)
Work Shown:
1 square yard = 15.40 dollars
45.5*1 square yard = 45.5*15.40 dollars
45.5 square yards = 700.70 dollars
In the second step, I multiplied both sides by 45.5 to turn the "1 square yard" into "45.5" square yards.
Evaluate 6 · 3 ÷ √9 - 1. plz help, will mark brainliest A. 2 B. 3 C. 5 D. 6
Answer: C. 5
Step-by-step explanation:
[tex]6 \cdot3\div \sqrt{9}-1[/tex]
[tex]6 \cdot 3=18[/tex]
[tex]\sqrt{9}=3[/tex]
[tex]18\div \:3-1[/tex]
[tex]18\div \:3=6[/tex]
[tex]6-1[/tex]
[tex]=5\\[/tex]
The value is 16.
What is square root?The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents. Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product. This can be written as 3 × 3 or 3^2. Here, the exponent is 2, and we call it a square.
We can use four methods to find the square root of numbers and those methods are as follows:
Repeated Subtraction Method of Square RootSquare Root by Prime Factorization MethodSquare Root by Estimation MethodSquare Root by Long Division MethodGiven:
6 · 3 ÷ √9 - 1
6*3 = 18
√9 - 1 = 3-1 = 2
So,
6 · 3 ÷ √9 - 1
=18- 2
=16
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HELLP BRAINLIEST!!! Could someone clarify something for me?? What is the expression that represents the area of the rectangle? Do i solve this or do i just find the expression? Also could you help me solve the problem below?
Answer:
See below.
Step-by-step explanation:
The question doesn't ask you to find the area, it just ask for the expression that represents the area.
The area of rectangle is A=bh, where b and h are each of the side lengths.
Since we know the sides are (2x+7) and (5x+9), this means that the expression for the area of the rectangle is:
[tex](2x+7)(5x+9)[/tex]
To find the degree and classification, expand the factors:
[tex]=(2x+7)(5x+9)\\=(10x^2+18x+35x+63)\\=10x^2+53x+63[/tex]
Thus, this is a second degree quadratic expression
And from Part A, when we multiplied (2x+7)(5x+9), we got another polynomial (10x^2+52x+63). Thus, this rerepresents the closure property of polynomials, where multiplying a polynomial by another gets another polynomial.
.
Answer:
see below
Step-by-step explanation:
Part A
(2x+7) ( 5x+9)
Foil
first 2x*5x = 10x^2
outer: 2x*9 = 18x
inner: 7*5x= 35x
last: 7*9 = 63
Add together
10x^2 +18x+35x+63
10x^2+53x+63
Part B
This is a second degree polynomial called a quadratic
Part C
When we multiply two polynomials together, we get another polynomial. This is the closure property for multiplication of polynomials
The fraction subtracted from 5/3 to get 1 is_____
Answer:
2/3
Step-by-step explanation:
I am not sure
Answer:
2/3Step-by-step explanation:
[tex]Let \:the \: unknown \: fraction \: be \: x\\\\\frac{5}{3} -x = 1\\\\\frac{5}{3}-x=1\\\\\mathrm{Subtract\:}\frac{5}{3}\mathrm{\:from\:both\:sides}\\\\\frac{5}{3}-x-\frac{5}{3}=1-\frac{5}{3}\\\\\frac{5}{3}-x-\frac{5}{3}=-x\\\\1-\frac{5}{3}=-\frac{2}{3}\\-x=-\frac{2}{3}\\\\x=\frac{2}{3}\\[/tex]
Nijah has 45 stickers.
She gives 2/5 to her sister.
She gives 1/3 of her remaining stickers to Brett.
How many stickers does Nijah have left?
Answer:
Nijah has 6 stickers left.
Step-by-step explanation:
Starting stickers:
45
2/5 are given away:
[tex]\frac{2}{5}[/tex] * 45
[tex]\frac{2}{5}[/tex] * [tex]\frac{45}{1}[/tex]
[tex]\frac{90}{5}[/tex]
18
1/3 of the remaining are given away:
[tex]\frac{1}{3}[/tex] * 18
[tex]\frac{1}{3}[/tex] * [tex]\frac{18}{1}[/tex]
[tex]\frac{18}{3}[/tex]
6
Nijah has 6 stickers left.
Answer:
18
Step-by-step explanation:
Find the part she gave to her sister
45 *2/5 = 18
The part remaining is
45 - 18 = 27
She gives 1/3 to Brett
27 * 1/3 = 9
She has 27 - 9 = 18
She has 18 remaining
Solve equations show all steps 1. 2x-10=44+8x 2. 7x-4=20=3x 3. 2(x-3)=-20 4. 15-4x+5=32
Answer:
2x - 10 = 44 + 8x
7x - 4 = 20 =3x
2(x-3) = -20
15 - 4x + 5 = 32
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x-10-(44+8*x)=0
Pull out like factors :
-6x - 54 = -6 • (x + 9)
-6 = 0
Solve : x+9 = 0
Subtract 9 from both sides of the equation :
x = -9
x = -9
Move all terms containing
x
to the left side of the equation.
4
x
−
4
=
20
Move all terms not containing
x
to the right side of the equation.
4
x
=
24
divide each term by 4
x = 6
2(x−3)=−20
Step 1: Simplify both sides of the equation.
2(x−3)=−20
2x−6=−20
Step 2: Add 6 to both sides.
2x−6+6=−20+6
2x=−14
Step 3: Divide both sides by 2.
2x
2
=
−14
2
x=−7
−4x+20=32
Step 2: Subtract 20 from both sides.
−4x+20−20=32−20
−4x=12
Step 3: Divide both sides by -4.
−4x
−4
=
12
−4
x=−3
solve: a X (b + c); a = -3/2 , b = -2 , c = 11/3 .
Answer:
-2 1/2
Step-by-step explanation:
a * (b + c);
Let a = -3/2 , b = -2 , c = 11/3 .
-3/2 ( -2 + 11/3)
Get a common denominator
-3/2( -2 *3/3 + 11/3)
-3/2 ( -6/3 +11/3)
-3/2 ( 5/3)
-15/6
-5/2
Changing to a mixed number
-2 1/2
Find y. A. 63–√ B. 33–√ C. 23√3 D. 3
This is a 30-60-90 triangle. The shortest leg (opposite the smallest angle) is half that of the hypotenuse, so y = 6/2 = 3.
Extra info: The long leg is sqrt(3) times the short leg, so x = y*sqrt(3) = x = 3*sqrt(3)
Answer:
D.) 3
Step-by-step explanation:
I got it correct on founders edtell
5 ratio 4 = 35 ratio x
Answer:
5 ratio 4 is
35 ratio 28
they both multiply by 7.....
Answer:
[tex]\large \boxed{x=28}[/tex]
Step-by-step explanation:
[tex]5:4=35:x[/tex]
Ratios can be expressed as fractions.
[tex]5/4=35/x[/tex]
Cross multiply.
[tex]5 \times x = 4 \times 35[/tex]
[tex]5x=140[/tex]
Divide both sides by 5.
[tex](5x)/5=140/5[/tex]
[tex]x=28[/tex]
Solve for x: 3x-4=2x-10
Answer:
x = - 6
Step-by-step explanation:
3x - 4 = 2x - 10
3x -2x = 4 - 10
x = - 6
For the equation 3x-4=2x-10, the value of x is -6.
The given equation is 3x-4=2x-10.
x is the variable in the equation.
Plus and minus are operators.
To solve for x, subtract 2x from both sides:
3x-2x-4=2x-2x-10
x-4=-10
Add 4 on both sides:
x=-10+4
x=-6
Hence, the value of x is -6.
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