Answer:
12x -15 < 8x + 3
+15 +15
12x < 8x + 18
-8 -8
4x < 18
x < 4.5
x+ y + z = -3
3y - Z = 4
2x- y - 2z = -5
Answer:
(-3, 1, -1)Step-by-step explanation:
x + y + z = -3 --> (1) 3y - z = 4 --> (2)2x - y - 2z = -5 --> (3)Add up (1) and (2)
x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1 --> (4)Double (2) and subtract from (3)
2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 82x - 7y = -13 --> (5)Double (4) and subtract (5)
2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1Finding x
x + 4(1) = 1 ⇒ x = 1 - 4 ⇒ x = -3Finding z
-3 + 1 + z = -3 ⇒ z = -1So the answer is:
(-3, 1, -1)Classify the triangle shown by its sides and angles. Check all that apply.
73°
349
730
Equilateral
Scalene
Isosceles
Obtuse
Right
Acute
Equiangular
3a. Find the volume of the 3-dimensional object. (enter only the number
Answer:
60 m^3.
Step-by-step explanation:
3*4*5.
A liquid storage container is leaking at a rate of 2/3 gallon every 1/4 hour. What is the unite rate?
Answer:
2 gallons an hour
Step-by-step explanation:
This is a fraction equal to
2 gal ÷ 1 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
2 gal
÷ 1
1 hours
÷ 1
=
2 gal
1 hour
=
2 gal
hour
= 2 gal per hour
Answer:
3/8
Step-by-step explanation:
1/4 ÷ 2/3 = 3/8
Stephen goes to the fair and buys two funnel cakes and one drink. His total bill is $6.75. A few days later, he goes with a friend and buys three funnel cakes and two drinks. This time his total bill is $11.
Write two equations that could be used to determine how much each funnel cake and drink costs. Use f for the cost of a funnel cake and d for the cost of a drink.
What is the cost of a funnel cake?
What is the cost of a drink?
Answer:
Let's define the variables:
f = Cost per cake
d = Cost per drink.
"Stephen goes to the fair and buys two funnel cakes and one drink. His total bill is $6.75. "
2*f + 1*d = $6.75
"A few days later, he goes with a friend and buys three funnel cakes and two drinks. This time his total bill is $11."
3*f + 2*d = $11.
Then we have a system of equations:
2*f + 1*d = $6.75
3*f + 2*d = $11.
To solve this, the first step is to isolate one of the variables in one of the equations, let's isolate d in the first equation:
d = $6.75 - 2*f
Now we can replace this in the other equation:
3*f + 2*($6.75 - 2*f) = $11
3*f - 4*f + $13.50 = $11
-f = $11 - $13.50 = -$2.50
f = $2.50
Then the cost of a funnel cake is $2.50
And the cost of a drink can be obtained with the equation:
d = $6.75 - 2*f = $6.75 - 2*$2.50 = $1.75
The cost of a drink is $1.75
1,320 feet is what fraction of a mile?
Answer:
1/4
Step-by-step explanation:
divide the value in feet by 5280 because 1 mile equals 5280 feet.
Answer:There are 5280 feet in one mile; thus
1320/5280 = 1/4
Step-by-step explanation:
sorry if its not correct }:
How do the final lines of “A Blessing” emphasize the author’s peaceful tone?
1 The final two lines, in which the speaker states, “I would break into blossom,” indicate that flowers blossom in the spring.
2 The final two lines, in which the speaker states, “I would break into blossom,” indicate the feeling of beauty and growth from contact with the horses.
3 The final two lines, in which the speaker states, “That if I stepped out of my body,” indicate the feeling of excitement when watching horses run.
4 The final two lines, in which the speaker states, “That if I stepped out of my body,” indicate the feeling of death and dying.
Answer:
4
Step-by-step explanation:
Which of the following shows the best communicative property of addition ?
4+5=4-(-5)
4+5=9
4+5=5+4
4+5=4+(2+3)
Answer:
In the given options, 4+5 = 5+4 shows the best commutative property.
Step-by-step explanation:
One of the properties that can be applied on numbers is commutative property. Commutative property states that the order of the numbers on which any operation is being performed, can be swapped and the answer won't change.
Commutative property can be applied on addition, subtraction and multiplication.
Commutative property of Addition:
Commutative property of addition states that changing the order of adding two numbers does not change the result i.e. a+b = b+a
In the given options, 4+5 = 5+4 shows the best commutative property.
Solve for x.
14 = 28 + 7x
Answer:
X = 2
Step-by-step explanation:
14= 28 + 7x
28 - 14 = 7x
14 = 7x
14 / 7
2 = x
Answer:
x = − 2
Step-by-step explanation:
Which value of x will make the fraction 10/x equivalent to 2/3?
I need this urgently!!!
Answer:
The value of x would be 15
Explanation:
10/x = 2/3
Cross multiply:
10 · 3 = x · 2
30 = 2x
30 ÷ 2 = x
15 = x
Pam drivers 14,735 miles in one year. The next year she drivers 13,869 miles. How many miles did she Drive in all?
Answer:28604 in total
Step-by-step explanation:
just copy and paste hope this helps
Answer:
28604 miles
Step-by-step explanation:
Just add the two numbers to get the total number of miles:
14735
+ 13869=
28604
Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.
7/5, 5/3,13/6,8/3
This question was not written properly
Complete Question
Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.
7/6, 5/3, 13/6, 8/3
Answer:
a) Common difference = 1/2
b) Fifth term = 19/6
c) nth term = 7/6 + (n - 1)1/2
= 7/6 + n/2 - 1/2
d) 100th term = 152/3
Step-by-step explanation:
We solve using the formula for arithmetic sequence
an = a1 + (n - 1)d
a1 = First term
n= nth term
d = common difference
a) Common difference = Second term - first term or Third term - second term
= d = 5/3 - 7/6
d = LCD (Lowest Common Denominator = 15
d = 5 × 6 - 3 × 7/18
d = 30 - 21/15
d = 9/18
d = 1/2
b) Fifth term =
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = 5
d = 1/2
a5 = 7/6 + (5 - 1)1/2
a5 = 7/6 + (4)1/2
a5 = 7/6 + 4/2
a5 = 7/6 + 2
a5 = LCD = 6
= 7× 1 + 2 × 6/6
= 7 + 12/6
= 19/6
c) nth term
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = n
d = 1/2
= 7/6 + (n - 1)1/2
= 7/6 + n/2 - 1/2
d) 100th term
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = 100
d = 1/2
a5 = 7/6 + (100- 1)1/2
a5 = 7/6 + (99)1/2
a5 = 7/6 + 99/2
a5 = 7/6 + 99/2
a5 = LCD = 6
= 7× 1 + 3 × 99/6
= 7 + 297/6
= 304/6
= 152/3
There are 3 cats in a room and no other creatures.each cat has 2 ears, 4 paws, and 1 tail
So there is a total of 6 ears, 12 paws, and 3 tails in the room.
Answer:
In the room there should be 6 ears, 12 paws, and 3 tails in total.
Find the exact volume of a waffle ice cream cone with 15-in. Diameter and a height of 23 inches
A rectangle is 3/5 red. The rest is blue and yellow, but not in equal ratios. What could those ratios be? PLEASE HELP
In a semiconductor company's quality control test, a machine found that 14 out of a sample of 234 computer chips were defective. How many of the 4705 such chips that the company makes each month would you expect to be defective?
Answer:
281-282
Step-by-step explanation:
A fish makes 480 dives on 10 hours at this rate how many dives did the fish do in 4 hours
Answer: 1200
Step-by-step explanation:
Answer:
192
Step-by-step explanation:
First, you would divide 480 by 10 to get 48 because you divide by the number of hours.
Then, multiply 48 by 4 to get your answer.
The answer: 192
If the measures of Angle 3 is 46 degrees , how much is the measure of angle 6?
Answer:
Angle 6 = 46°
Step-by-step explanation:
They are alternate interior angles which mean they are congruent
write an equation of the line with a slope of -3/4 and y-intercept of -6
Answer:
y = -3/4x - 6
Step-by-step explanation:
Find the PERCENT of change.
20 dogs to 5 dogs
Answer:
75%
Step-by-step explanation:
20-5=15 - change in numbers
15/20×100%= 75%
Find the number whose arithmetic square root is 0.6
Answer: 0.36
Step-by-step explanation:
6/10 x 6.10= 36/100
y=_x+_ what would be the answer
Answer:
y = -1/4x + 2
Step-by-step explanation:
slope = rise over run
-1 rise for 4 run
y intercept = 2
y = -1/4x + 2
A carpenter is building a rectangular shed with a fixed perimeter of 68 ft. What are the dimensions of the largest shed that can be built? What is its area?
The dimensions of the largest shed are _____ by _____.
The area of the largest shed is _____.
Answer:
The dimensions of the largest shed are 17 ft by 17 ft.
The area of the largest shed is 289 sq ft.
Step-by-step explanation:
Given that:
Fixed perimeter of the rectangular shed = 68 ft
To find:
The dimensions of the largest shed that can be built = ?
And
Area of the largest shed that can be built = ?
Solution:
First of all, let us have a look at the formula for perimeter of a rectangular shape shed:
Perimeter of a rectangle = 2 [tex]\times[/tex] (Length + Width)
68 = 2 [tex]\times[/tex] (Length + Width)
Length + Width = 34
The largest possible values are only in the case when the rectangle is a square.
i.e. Length = Width
Therefore values of length and width are:
Length = Width = [tex]\frac{34}{2} = 17\ ft[/tex]
Area of a square is given by the formula:
[tex]A = Side \times Side[/tex]
[tex]A[/tex] = 17 [tex]\times[/tex] 17 = 289 sq ft
The answer is:
The dimensions of the largest shed are 17 ft by 17 ft.
The area of the largest shed is 289 sq ft.
1. Which equation represents the relationship shown in the table below? (1 point)
y = -x - 3
y=x-3
y = 2x - 3
y=-2x + 3
The equation representing the relationship in the table is y = 2x - 3. The correct option is C.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between two or more variables.
Given data in the table:-
x y
0 -3
1 -1
2 1
3 3
The equation satisfying the values of the table will be:-
y = 2x - 3
-3 = 2 x 0 - 3=-3
-1 = 2 x 1 - 3 =-1
1 = 2 x 2 - 3 = 1
3 = 2 x 3 - 3 = 3
Therefore, the equation representing the relationship in the table is y = 2x - 3. The correct option is C.
To know more about an equation follow
https://brainly.com/question/18831322
#SPJ5
Alex placed a classified ad in the local newspaper to sell his used Nissan Sentra. He plans to write a 9 line ad. The newspaper charges $17.50 for the first three lines (total) and then $8.25 for each extra line. How much will Alex pay for the ad?
Answer:
$67 total
Step-by-step explanation:
9-3= 6
6(8.25)= 49.50
49.50+17.50= $67
Answer:
$67.00
Step-by-step explanation
17.50 (first 3 lines) + 8.25 (for each of the 6 lines left)
17.50 + (8.25*6) =
17.50 + 49.50 =
67
Please need help thank you
danny bought a shirt that was first put on sale for 30% off that went on clearance for an additional 40% off. what is the markdown if the original price was $94.99
Answer:
The total is $28.50
Step-by-step explanation:
PLEASE HELP ME PLEASEEEEEEEEE
Answer:
5 week
Step-by-step explanation:
13.75/ 2.75
=5
Which table represents a linear function? Thanks! :)
Answer:
the first table
Step-by-step explanation:
Answer:
the first table
Step-by-step explanation:
this was on edjednuty
A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing x fuel tanks is given by ... C(x) = 10000 +90x - 0.08x2 Find the exact cost of producing the 501st item.
Answer:
cost of producing the 501st item = $9.92
Step-by-step explanation:
The function representing the cost is given by;
C(x) = 10000 + 90x - 0.08x²
To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.
Thus;
C(500) = 10000 + 90(500) - 0.08(500)²
C(500) = 10000 + 45000 - 20000
C(500) = $35000
Similarly;
C(501) = 10000 + 90(501) - 0.08(501)²
C(501) = 10000 + 45090 - 20080.08
C(501) = $35009.92
cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92