Solve the inequality for x: 4x + 8 > 2(3x + 1)
Answer:
x < 3
Step-by-step explanation:
Step 1: Write inequality
4x + 8 > 2(3x + 1)
Step 2: Solve for x
Distribute 2: 4x + 8 > 6x + 2Subtract 4x on both sides: 8 > 2x + 2Subtract 2 on both sides: 6 > 2xDivide both sides by 2: 3 > xRewrite: x < 3Here we see that any value smaller than 3 will be a solution.
Sarah makes a party punch that requires 1 gallon of orange juice for every 2.5 gallons of lemonade. Dean's favorite punch recipe calls for a gallons of orange juice
for every 1 gallon of pineapple juice. What would the ratio of orange juice to lemonade or pineapple juice be for 4 batches of each punch recipe?
Answer
10
Step-by-step explanation:
4x2.5=10
9783
8 sth
2400
A tank is completely filled with water. A pump is used to drain the tank. The amount of
water remaining in the tank is given by the equation y=600-25x, where x is the number
of minutes since the pump started and y is the volume, in gallons, of water remaining
in the tank. In the equation, what are the meanings of the numbers 25 and 600?
Answer:
yes
Step-by-step explanation:
y=8x-18 find the intercepts of the line
-18 is the y intercept
The slope is in y=mx+b form,
And b is the y intercept. Mx is the slope(m) and x is the variable, in this case 8x
So slope is 8, and y intercept is -18
sole the equation. check your solution 2.5 y + 6=4.5y-1
Answer:
3.5 = y
Step-by-step explanation:
2.5y + 6 = 4.5y - 1
2.5y + 7 = 4.5y
7 = 2y
3.5 = y
Check:
2.5y + 6 = 4.5y - 1
2.5(3.5) + 6 = 4.5(3.5) - 1
2.5(3.5) + 7 = 4.5(3.5)
8.75 + 7 = 15.75
15.75 = 15.75
Answer:
[tex]y=3.5[/tex]
Step-by-step explanation:
[tex]2.5y+6=4.5y-1[/tex]
Start by subtracting [tex]6[/tex] from both sides of the equation:
[tex]2.5y=4.5y-7[/tex]
Subtract [tex]4.5y[/tex] from both sides of the equation:
[tex]-2y=-7[/tex]
Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]-2[/tex]:
[tex]y=3.5[/tex]
_
Check your solution by substituting the solved value of [tex]y[/tex] ([tex]3.5[/tex]) into the initial equation:
[tex]2.5(3.5)+6=4.5(3.5)-1[/tex]
[tex]8.75+6=15.75-1[/tex]
[tex]14.75=14.75[/tex]
Since both sides of the equation are equal to each other, our solution is correct!
Which expressions are equivalent to the given expression?
√252
more than one answer
A 10-inch candle burns down in 10 hours. At what rate does the candle burn, in inches per hour? URGENT PLEASE ANSWER ASAP!!!
Answer:
1 inch per hour
Step-by-step explanation:
1 hour it burns 1 inch
If the sum of twice a number and 3 is 15. what is the value of 8x?
Answer:
48
Step-by-step explanation:
2x + 3 = 15
2x = 15-3
2x = 12
x = 12 ÷ 2
x = 6
8x = 6 × 8
8x = 48
AIJK = APQR. If mZI = 3x + 4
For 2 minutes, a satellite traveled at a steady speed. It traveled 380 kilometers around Earth in that time. What was the satellite's speed?
Answer: The satellites speed was 190 kilometers per minute.
Step-by-step explanation:
The formula for speed is calculated as:
Speed = Distance/Time
where,
Distance = 380 kilometers
Time = 2 minutes
Speed = Distance/Time
Speed = 380km/2min
Speed = 190km/min
The satellites speed was 190 kilometers per minute.
Therefore, the correct answer is C.
(-3)^4 in expanded form
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] ({ - 3})^{4} = ( - 3) \times ( - 3) \times ( - 3) \times ( - 3) \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
3x3x3x3
Step-by-step explanation:
1. 4 is the exponent so you would put down (-3) 4 times but, since the -3 is in parentheses it automatically becomes positive.
2. So, instead of writing (-3)x(-3)x(-3)x(-3) or -3x-3x-3x-3 you would write 3x3x3x3.
I hope this helps:)
a snowboard at a local shop normally cost $400. Over Labor day weekend, the snowboard is on sale for 60% off. What is the sale price of the snowboard
Answer:
$160
Step-by-step explanation:
Which property is demonstrated?
(12 x 7) * 5 = 12 x (7 x 5)
Answer:
Associative
Step-by-step explanation:
This would be the associative property of multiplication.
(a*b)*c=a*(b*c)
The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle is 66. Find the length and width of the rectangle.
Answer:
15.
Step-by-step explanation:
L + L + W + w = 66
L= w+3
W+3 + w+3 + w + w = 66
4xw + 6 = 66
4xw = 66 - 6
4xw = 60
W + W +w +w =60
W= 60/4
W=15
L = 15+3 (=18)
15+15+18+18=66
10 points show your work please thank you
Answer:
Step-by-step explanation:
12*15
180
Answer:
X=9
Step-by-step explanation:
15^2=12^2+x^2
225 = 144 +x^2
225-144=x^2
81 =x^2
squareroot(81) = x
A plane can carry 360 passengers. On a particular day, there are 240 passengers on the plane. Identify the correct inequality and the solution to show how many more passengers the plane can carry?
Answer:
p + 240 ≤ 360; p ≤ 120
Step-by-step explanation:
The inequality that shows the number of more passengers to carry by plane is 240 + x = 360.
The number of more passengers is 120.
What is inequality?It is a statement of an order relationship
- greater than,
- greater than or equal to,
- less than,
- less than or equal to between two numbers or algebraic expressions.
We have,
Number of passengers in a plane = 360
Number of passengers in a day = 240
The inequality represents the number of more passengers that can carry:
240 + x = 360
Where x is the number of more passengers.
Find x.
240 + x = 360
Subtract 240 on both sides.
240 + x - 240 = 360 - 240
x = 120
Thus,
The inequality that shows the number of more passengers to carry by plane is 240 + x = 360.
The number of more passengers is 120.
Learn more about inequality here:
https://brainly.com/question/22010462
#SPJ2
What is the degree of
the polynomial
below?
3- 14x4 – 2x8 + 20x +
4x2
A school printed 315 tickets to the spring dance. There are 255 tickets left. Which equation can be used to find how many tickets have been sold?
You didn't add any options but here's one that would work.
315 - 255 = 60
When there is a problem asking how many are left, taken, sold, given, etc. You are usually dealing with subtraction.
Hope that helps and have a great day!
Answer:
The last choice (x+255=315 )
Step-by-step explanation:
This is because we know the total number of tickets is 315 and they have 255 left. So, x + 255 = 315. Because you subtracted __ from 315 to get 255. You can rewrite that as __ + 255 = 315 or x + 255 = 315
Write the equation of a line that includes the point (1, 5) and has a slope of 3 in slope-intercept form
Answer:
y=3x+2
Step-by-step explanation:
y=mx+b
We have our m, which is slope, but we need our y intercept, b.
Substitute your slope, x, and y into the formula and solve for b.
5=3(1)+b
5=3+b
-3 -3
2=b
Now we can plug into equation.
y=3x+2
Karen and Wayne need to buy a refrigerator because theirs just broke. Unfortunately,their savings account is depleted, and they will need to borrow money in order to buy a new one. Sears offers them an installment loan at 15% (add-on rate). If the refrigerator at Sears costs $1,500 plus 5% sales tax, and Karen and Wayne plan to pay for the refrigerator for 2 years, what is the monthly payment?
Answer:
$53.14
Step-by-step explanation:
Add-on-rate = 16%
Cost = $1,578 + Sales tax = 5%(5% of $1578 = $78.90)
Time = 3 years
Total amount borrowed = 1578 + 78.90 = $1656.90
Charges = 16%
So, 16% of 1656.90
= 16/100 * 1656.90
= $265.10
Total amount would be = 1656.90 + 256.10 = $1913
No. of months in 3 years = 36months
∴ Monthly payment = [tex]\frac{1913}{36}[/tex]
= $53.14.
Given m < PQS = 45° and m
Answer:
19 degrees
Step-by-step explanation:
Answer:
19° is the answer of m angle PQR.Thank you ☺️☺️
What is the quotient of 513 divided by 19
Answer:
27 remainer of 0
Step-by-step explanation:
The number 513 is called the numerator or dividend, and the number 19 is called the denominator or divisor.
The quotient of 513 and 19, the ratio of 513 and 19, as well as the fraction of 513 and 19 all mean (almost) the same: 513 divided by 19, often written as 513/19.
Read on to find the result of 513 divided by 19 in decimal notation, along with its properties.
Charlie had 150 feet of wire. If he cut the wire into 12 equal pieces, how long was each piece of wire?
Please help me :( no ones helping me :( pls show how you got it too :( thank you ill give you all my points 30 points
Answer:
1. a. 110
because 5 less than 35 is 30 and 5 less than 10 is 5. it would only make sense for 5 less than 110 is 105
7. D. 54
every other number in the equation is one less (8,7,6,5)
and inbetween those the number is multiplied by 3 (2×3=6, 6×3=18) so then 18×3 =54
the middle left. D. 27
every other one is multiplied by 2 (2×2=4, 4×2=8, 8×2=16) but the first one is multiplied by 3. (1×3=3 3×3=9 9×3=27 27×3=81)
11. A.11
it adds 6 every other (17+6=23, 23+6=29)
for every other first one it adds 4. (7+4=11, 11+4=15, 15+4=19)
12. D. 18
for every other it adds 2.(4+2=6, 6+2=8)
for every other second it adds 6. (6+6=12, 12+6=18, 18+6=24)
15. D. 49
for every other it subtracts 6 (67-6=61, 61-6=55, 55-6=49)
the every other second it divides in half. (32÷2=16, 16÷2=8, 8÷2=4)
18. D. 17
for every other it adds 2.(13+2=15, 15+2=17, 17+2=19)
for every other second it subtracts 2. (21-2=19, 19-2=17, 17-2=15)
Step-by-step explanation:
im pretty sure these are correct, i hope this helps
question above help me please
Answer:
The second line where 3 multiplies -m/3=3 times -4
Step-by-step explanation:
Multiplying a negative by a postive will result in negative so multiplying a negative by a negative will result in a postive. Multiplying 3 by -m/3 will result in -m so you should multiply -m/3 by -m so the varuable will be postitive. The answer would be m=12. Hope this helps.
Can someone pls explain to me how Identify the domain and range of a graph!!,
Answer:
Ok
Step-by-step explanation:
So, the domain is the set of all possible values that can be inputted into the function. Or where is function on the x axis is the function defined. The range is similar but on the y axis. In this case, the function you have there appears to go on to infinity (I assume that is what the arrow means) and so the range would be [-1, -infinity) and domain [1, infinity). Brackets are important here because it shows that the function is still defined at point (1,-1), therefore, I used [ bracket symbol (I again assumed that the shaded in black dot at point (1,-1) means that the function is closed at that point and that when it is not shaded in, it is open). I feel like I didn't explain very well but good luck and hopefully someone does a better job that what I did.
In the fraction below, which number is the numerator?
3
4
।
Answer:
3
Step-by-step explanation:
because 3 i less than 4
The area of a square garden is 49 ft^2. How long is each side of the garden?
Answer:
7
Step-by-step explanation:
Answer:
I think the answer is 7.
Step-by-step explanation:
The graph shows the cost of gasoline at a gas station. Find the cost in dollars per gallon.
Answer: 7 dollars per gallon
Step-by-step explanation:.
Write the equation of the line that passes through the points (-7, -3) and
(-2,-1)
Answer:
y = 2/5x - 1/5
Step-by-step explanation:
The first step is to find the slope. We can do this by doing y2- y1/x2 - x1, you can name any number 1 or 2 as long as the x and y are right.
-1 - (-3)/-2 - (-7) = 2/5
Now that we know that the slope is 2/5 we can use the formula
y - y1 = m(x - x1)
y + 3 = 2/5(x +7)
y + 3 = 2/5x + 2 4/5
y = 2/5x - 1/5