Answer:
a. Distribute –4 to get –8x + 4 > 5 – 3x
Step-by-step explanation:
–4(2x – 1) > 5 – 3x-8x+4 > 5- 3x-8x+3x >5-4-5x> 1x< -1/5Correct first step is:
a. Distribute –4 to get –8x + 4 > 5 – 3x
The first step to solve the given expression is to distribute -4 over 2x and -1 to get –8x + 4 > 5 – 3x
Inequality expressionsInequality are expressions not separated by an equal sign. Given the inequality;
–4(2x – 1) > 5 – 3x
The first step to solve the given expression is to distribute -4 over 2x and -1 to get –8x + 4 > 5 – 3x
Learn more on inequality here: https://brainly.com/question/24372553
#SPJ6
What is the area of a circle with a radius of 6 inches?
9 st in?
12 x in.2
36 x in 2
81 x in 2
Answer:
A≈113.1in²
Step-by-step explanation:
Radius: 6in
Solved for area
Shape: Circle
Formula: A=πr2
1: Use the formula πr (r) to calculate the the area.
2: We are looking for the area.
3: 6 inches for radius to find the area
Answer: A≈113.1in²
Hope this helps.
Please help, having trouble figuring out this word problem. Thanks if you do :)
Answer:
-21. -19.-17
Step-by-step explanation:
Let x be the smallest
x+2 next smallest
x+4 be the largest
4*(x) = 18+6(x+4)
Distribute
4x = 18+6x+24
Combine like terms
4x = 42+6x
Subtract 6x from each side
-2x = 42
Divide by -2
-2x/-2 = 42/-2
x = -21
x+2 = -19
x+4 = -17
Answer:
- 21, - 19, - 17
Step-by-step explanation:
Let y be the smallest no.
& y + 2 next smallest no.
& y + 4 be the largest no.
= 4 * (y) = 18 + 6 * (y + 4)
4y = 18 + 6y + 24
4y - 6y = 42
- 2y = 42
= - 21
The other 2 numbers are:
y + 2
= - 19
y + 4
= - 17
Hope this helps!
Will mark brianliest !!!!!!!!!!!!! Please answer correctly !!!!!!!!!!!!!
Answer:
9 is the greater x and 2 is the lesser x
Step-by-step explanation:
I really don't know how to explain without simply writing it out for you, which I really can't do. But there's the answer lol
Answer:
x = 2, x = 9
Step-by-step explanation:
Given
x² - 11x + 18 = 0
Consider the factors of the constant term (+ 18) which sum to give the coefficient of the x- term (- 11)
The factors are - 9 and - 2 , since
- 9 × - 2 = + 18 and - 9 - 2 = - 11 , thus
(x - 9)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2 ← lesser value
x - 9 = 0 ⇒ x = 9 ← greater value
Solve for w. 5w + 9z = 2z + 3w w = w equals negative StartFraction 7 Over 2 EndFraction z.Z w = w equals negative StartFraction 2 Over 7 EndFraction z.Z w = –2z w = –7z
Answer:
w = -7z/2
Step-by-step explanation:
We need to solve for w in terms of z.
The equation given is:
5w + 9z = 2z + 3w
Collect like terms:
5w - 3w = 2z - 9z
2w = -7z
w = -7z/2
Answer:
option A (-7/2z)
Step-by-step explanation:
Find the volume of the rectangular prism. Express your answer as a simplified mixed number.
Answer:
414 9/16 m³
[tex]414\frac{9}{16}m^{3}[/tex]
Step-by-step explanation:
The volume of a Rectangular prism is calculated as Length × Width × Height
From the attached diagram,we can see that
The length = 8 3/8 m
The width = 6 m
The height =8 1/4 m
Converting the mixed fraction to improper fraction in other to simplify it better
The length = 67/8 m
The height = 33/4 m
The volume of the rectangular prism =
67/8 m × 6m × 33/4m
= (13266/32)m³
= 6633/16 m³
= 414 9/16 m³
= [tex]414\frac{9}{16}m^{3}[/tex]
The table gives some information about the heights of 30 plants.
Height, h in cm
Frequency
0<h < 10
1
10 <h < 20
9
20 <h < 30
7
30 <h < 40
13
Which class interval contains the median?
Select your answer.
osh <10 10 sh< 20 20 sh < 30 30 sh<40
А
B
C
D
Answer:
2,8,8
Step-by-step explanation:
The class interval 20 <h < 30 contains the median.
Median :To find the interval in which median is lies, first we have to find the cumulative frequency.
The table is,
Height range frequency Cumulative frequency
0<h < 10 1 1
10 <h < 20 9 1 + 9 = 10
20 <h < 30 7 10 + 7 = 17
30 <h < 40 13 17 + 13 = 30
Sum = 30
Since, the sum of frequency is even. So that the median is ,
[tex]\frac{\frac{n}{2} th +(\frac{n}{2} +1)th}{2} =\frac{15th +16th}{2}[/tex]
From observing table, 15th and 16th term lies in cumulative frequency of 17.
Thus, the class interval 20 <h < 30 contains the median.
Learn more about the class interval here:
https://brainly.com/question/7587748
Recall the shipping box scenario from the Introduction. As an employee of a sporting goods company, you need to order shipping boxes for bike helmets. Each helmet is packaged in a box that is n inches wide, n inches long, and 8 inches tall. The shipping box you order should accommodate the boxed helmets along with some packing material that will take up an extra 2 inches of space along the width and 4 inches of space along the length. The height of the shipping box should be the same as the helmet box. The volume of the shipping box needs to be 1,144 cubic inches. The equation that models the volume of the shipping box is 8(n + 2)(n + 4) = 1,144.
Answer:
The dimensions of the helmet box are as follows
Width is 9 inches
Length is 9 inches
Height is 8 inches
The dimensions of the shipping box ordered are as follows;
Width is 11 inches
Length is 13 inches
Height is 8 inches
Step-by-step explanation:
8(n + 2)(n + 4) = 1144
8·n² + 48·n + 64 = 1144
8·n² + 48·n - 1080 = 0
8×(n - 9)×(n + 15) = 0
∴ n = 9 or -15 inches
The dimensions of the helmet box are as follows
Width = 9 in.
Length = 9 in.
Height = 8 in.
The dimensions of the shipping box ordered are as follows;
Width = 9 + 2 = 11 in.
Length = 9 + 4 = 13 in.
Height = 8 in.
Answer:
8 inches x 11 inches x 13 inches
Step-by-step explanation:
I got correct on edmentum
La mama de maximo le pidio que fuera a la tienda dijo que comprara 0.5 litros de leche, el dueño de la tienda le dijo que solo tenia leche en envases de ½ litros ¿Es mas, menos o igual a la capacidad que le pidió su mama?
Answer:
1/2 litros es igual a la capacidad que le pidió su mamá.
Step-by-step explanation:
Para encontrar la respuesta debes escribir 0.5 como fracción. Para hacerlo, el numerador es el número original sin el punto decimal y para definir el denominador debes determinar cuántos digitos decimales tienes. En este caso, el número tiene un dígito decimal, por lo cual el denominador es 10. De acuerdo a esto:
0.5 se escribiría como [tex]\frac{5}{10}[/tex] y esta fracción se puede simplificar porque los dos números son divisibles entre 5:
5/5= 1
10/5= 2
Por esto, 0.5= [tex]\frac{1}{2}[/tex]
Esto significa que 1/2 litros es igual a la capacidad que le pidió su mama.
Evaluate (-B)2 for A= 5, B = -4, and C = 2.
Answer:
8
Step-by-step explanation:
Expression:
(-B)2
Let's substitute the value of B into this expression:
B = -4
(-B)2
[-(-4)]2
Notice how there are two negative signs int this expression:
[-(-4)]2
Well, there is an invisible 1 behind the first negative sign.
[-(-4)]2
[-1(-4)]2
All we have to do now is multiply:
[-1(-4)]2
(4)2
(4)2
= 8
Therefore, the value of the expression is 8.
The first three towers in a sequence are shown. The nth tower is formed by stacking n blocks on top of an n times n square of blocks. How many blocks are in the 99th tower?
Answer:
The 99th tower contains 9900 blocks.
Step-by-step explanation:
From the question given, we were told that the nth tower is formed by stacking n blocks on top of an n times n square of blocks. This implies that the number of blocks in n tower will be:
n + n²
Now let us use the diagram to validate the idea.
Tower 1:
n = 1
Number of blocks = 1 + 1² = 2
Tower 2:
Number of blocks = 2 + 2² = 6
Tower 3:
Number of blocks = 3 + 3² = 12
Using same idea, we can obtain the number of blocks in the 99th tower as follow:
Tower 99:
n = 99
Number of blocks = 99 + 99² = 9900
Therefore, the 99th tower contains 9900 blocks.
Entre Amaya y Alberto tienen 5€ entre Alberto y Rosa tienen 10€ sabiendo que Amaya tiene 2,70€ ¿cuanto tiene Rosa?
Ani will put this in a translator
Step-by-step explanation:
What do I do in this question
Step-by-step explanation:
X × 3 + 4 = 22
X × 3 = 22 - 4
X × 3 = 18
X = 18 /3
X = 6
Jordan bought StartFraction 9 Over 16 EndFraction of a pound of sunflower seeds and divided them evenly into 9 snack bags for his lunch. What is the weight of sunflower seeds in each snack bag?
Answer: 1/16 of a pound
Step-by-step explanation:
Here is the complete question:
Jordan bought 9/16 of a pound of sunflower seeds and divided them evenly into 9 snack bags for his lunch. What is the weight of sunflower seeds in each snack bag?
1/16 of a pound
1/9of a pound
16/81 of a pound
81/16 pounds
From the question, we are told that Jordan bought 9/16 of a pound of sunflower seeds and then divided them equally into 9 snack bags for his lunch. To get the weight of sunflower seeds in each snack bag, we will divide 9/16 by 9 snack bags. This can be written mathematically as:
= 9/16 ÷ 9
= 9/16 × 1/9
= 1/16
The weight of sunflower seeds in each snack bag will be 1/16 of a pound.
Answer:
A- 1/16
Step-by-step explanation:
I took the quiz and got it correct :) hope I could help!!!
Find the perimeter of the following figure.
x + 13
3x + 2
8
2
X + 5
Answer:
5x+30
Step-by-step explanation:
simply add each side together:
(x+13)+(3x+2)+8+2+(x+5)
=5x+30
The picture below has all the questions I need assistance with.
Answer:
11) D, 12) D
Step-by-step explanation:
if you do the math it works
Imani is buying a new cell phone for $800.00. She has to put down
20% and finance the rest at an exact interest rate of 6% for 275
days. How much is the maturity value of her loan?
Solve the following:
A) 4x-1/2=x+7
B) 3x+2=2x+13/3
C) 2x-7/4=3+x/3
Answer:
a. 2.5
b. 2.333
c. 2.85
Step-by-step explanation:
A) 1. subtract -x on both sides 2. to get 3x-1/2=7
3. Add 1/2 on both sides 4. to get 3x=7.5
5. divide 3 on both sides 6. To get... x=2.5
B)1. Same process. 2. x+2=13/3
3. x=13/3-2 4. x= 2.33(repeating)
C) 1. same process. 2. 2x-x/3=3+7/4
3. 2x-x/3=4.75 4. Isolate -x/3
5.-x/3=4.75-2x 6. multiply both sides by 3
7. -x=14.25-6x 8. 5x=14.25
9. x= 2.85
* remember to distribute the 3 to each variable.
Mr. Smith plans to serve 200 hamburgers at the company picnic. How many packages of hamburger buns will he need if buns come in packages of 12? How many packages will he need if buns come in packages of 16?
Answer:
34 packages
25 packages
Step-by-step explanation:
He needs a pair of buns for each hamburger.
He needs 200 hamburger. That means that he needs 400 buns for his picnic.
If buns come in a package of 12, the number of packages he needs is:
400 / 12 = 33.33 packages
Because packages come in whole numbers, we have to round up.
That means he needs 34 packages.
If buns come in a package of 16, the number of packages he needs is:
400 / 16 = 25 packages
f(x) = (x + 3)(x + 5).
Answer:
Step-by-step explanation:
Answer:y=x+8x+15
Step-by-step explanation:
PLEASE PLEASE HELP ME IM SOOO CONFUSED!!!!!
( show the work MANDATORY)
WRITE EACH FRACTION AS A DECIMAL. USE A BAR TO SHOW REPEATING DECIMAL.
1.) 7/10
2.) 1/4
3.)-3/10
4.)1/8
5.) 7/30
6.) 7/11
7.)-3/5
Answer:
1=0.70 2=0.25 3=-0.30 4=0.125 5=0.233333333 6=0.636363636 7=-0.6
Step-by-step explanation:
Calculator and anything over 10, just move the decimal back one space!
(1 1/6 − 7/18 )÷2.8/0.5+ 1/18 =
3.) The length of a midsegment of a trapezoid is the blank
lengths of the bases. *
Your answer for blank!
Answer:
Average
Step-by-step explanation:
If a and b are the lengths of the bases, then a+b/2 is the length of the midsegment of the trapezoid.
Which explains how to find the quotient of the division below? Negative 3 and one-third divided by StartFraction 4 over 9 EndFraction Write Negative 3 and one-third as Negative StartFraction 13 over 3 EndFraction, and find the reciprocal of StartFraction 4 over 9 EndFraction as StartFraction 9 over 4 EndFraction. Then, rewrite Negative 3 and one-third divided by StartFraction 4 over 9 EndFraction as Negative StartFraction 13 over 3 EndFraction times StartFraction 9 over 4 EndFraction. The quotient is Negative 9 and three-fourths. Write Negative 3 and one-third as Negative StartFraction 10 over 3 EndFraction, and find the reciprocal of StartFraction 4 over 9 EndFraction as StartFraction 9 over 4 EndFraction. Then, rewrite Negative 3 and one-third divided by StartFraction 4 over 9 EndFraction as Negative StartFraction 10 over 3 EndFraction times StartFraction 9 over 4 EndFraction. The quotient is Negative 7 and StartFraction 6 over 12 EndFraction = Negative 7 and one-half. Write Negative 3 and one-third as Negative StartFraction 9 over 3 EndFraction. Then, rewrite Negative 3 and one-third divided by StartFraction 4 over 9 EndFraction as Negative StartFraction 9 over 3 EndFraction times StartFraction 4 over 9 EndFraction. The quotient is Negative 1 and one-third. Write Negative 3 and one-third as Negative StartFraction 10 over 3 EndFraction. Then, rewrite Negative 3 and one-third divided by StartFraction 4 over 9 EndFraction as Negative StartFraction 10 over 3 EndFraction times StartFraction 4 over 9 EndFraction. The quotient is Negative 1 and StartFraction 13 over 27 EndFraction = Negative 1 and StartFraction 13 over 27 EndFraction.
Answer:
(B) Write Negative 3 and one-third as Negative StartFraction 10 over 3 EndFraction, and find the reciprocal of StartFraction 4 over 9 EndFraction as StartFraction 9 over 4 EndFraction. Then, rewrite Negative 3 and one-third divided by StartFraction 4 over 9 EndFraction as Negative StartFraction 10 over 3 EndFraction times StartFraction 9 over 4 EndFraction. The quotient is Negative 7 and StartFraction 6 over 12 EndFraction = Negative 7 and one-half.
Step-by-step explanation:
To find the quotient of the division:
[tex]-3\dfrac13 \div \dfrac49[/tex]
Step 1: [tex]\text{Write}$ $ -3\dfrac13$ as $ -\dfrac{10}{3}[/tex]
[tex]-3\dfrac13 \div \dfrac49 = -\dfrac{10}{3} \div \dfrac49[/tex]
Step 2: Find the reciprocal of [tex]\dfrac94[/tex]
[tex]-\dfrac{10}{3} \times \dfrac94\\=-7\dfrac12[/tex]
Answer:
b
Step-by-step explanation:
solve
−2(x−7)+3(x+5)=x+9
Answer:
no solutions
Step-by-step explanation:
−2(x−7)+3(x+5)=x+9
Distribute
-2x +14 +3x +15 = x+9
Combine like terms
x + 29 = x+9
Subtract x from each side
x+29 -x = x+9-x
29 = 9
This is never true so there are no solutions
Answer:
It is wrong Problem
Step-by-step explanation:
-2x+14+3x+15=x+9
x+29=x+9
????
Krutika and Natasha are marking exam papers. Each set takes Krutika 72 minutes and Natasha 1 hour. Express the times Krutika and Natasha take as a ratio. Give your answer in its simplest form.
Answer:
6 : 5
Step-by-step explanation:
Each set takes Krutika 72 minutes.
Each set takes Natasha 1 hour.
Let us convert that to minutes:
1 hour = 60 minutes
Therefore, expressing the times it takes Krutika and Natasha as a ratio:
72 : 60
Divide by 6
12 : 10
Divide by 2
6 : 5
The ratio is 6 : 5
Question 1 of 10
2 Points
If f(x)= 2(x)2 +5W/(x+2), complete the following statement:
f(2)=
Answer:
8 + (5W)/ 4
Step-by-step explanation:
Plug in 2 for x
2 * 2 * 2 + (5W)/(2 + 2)
8 + (5W)/ 4
Seaside Bike Rental Shop charges a $13 fee plus $7 per hour to rent a bike. Chris paid $62 to rent a bike. How many hours did he pay for?
Answer:
7 hours
Step-by-step explanation:
(62-13)/7=7
A sports club charges an initiation fee and a monthly fee. At the end of the 5 months, a member had paid a total of $450. At the end of the 10 months, she had paid a total of $500.
a) Write a linear system to model the situation
b) Solve the linear system by substitution to solve the related problem: What are the initiation fee and the monthly fee?
Answer:Initiation fee is $400 while monthly fee is $10
Step-by-step explanation:
Let the initial fee be x which is fixed while the monthly fee be y
At the end of 5 months, 450 was paid
This means that;
x + 5y = 450 ••••••••(i)
At the end of 10 months, $500 was paid
Mathematically, this means that;
x + 10y = 500•••••••••••(ii)
now we solve both equations simultaneously to get the value of x and y
our equation ii can be rewritten as;
x + 5y + 5y = 500
we can now insert equation i directly into this
450 + 5y = 500
5y = 500-450
5y = 50
y = 50/5
y = $10
From x + 5y = 450
let’s insert the calculated value of y
x + 5(10) = 450
x + 50 = 450
x = 450-50
x = $400
please help for brainliest
Answer:
f = 6, g = 8
Step-by-step explanation:
The area of Δ ADE = 60 - 48 = 12 cm²
Thus
[tex]\frac{1}{2}[/tex] AD × 4 = 12, that is
2AD = 12 ( divide both sides by 2 )
AD = 6 = f
The area of ABCD = 48 cm² , thus
fg = 48 , that is
6g = 48 ( divide both sides by 6 )
g = 8
Thus f = 6 and g = 8
Simplify 3(x - 2) + 5x