Answer: the x=4
9(4)+4=40
Step-by-step explanation:
Ashley has two buckets filled with water. The large bucket contains 36 gallons and is leaking at a rate of 0.12 gallons per hour. The small bucket contains 12 gallons and is leaking at a rate of 0.6 gallons per hour.
Which inequality can be used to find the number of hours, h, at which the larger bucket will have less water than the smaller bucket?
Answer:
36 - 0.12h < 12 - 0.6h
Step-by-step explanation:
Large bucket:
36 gallons and is leaking at a rate of 0.12 gallons per hour.
= 36 - 0.12h
Smaller bucket:
12 gallons and is leaking at a rate of 0.6 gallons per hour
= 12 - 0.6h
The inequality that can be used to find the number of hours, h, at which the larger bucket will have less water than the smaller bucket is
36 - 0.12h < 12 - 0.6h
Write the quotient as a mixed number.
35 ÷ 4 = 8 R3
Answer:
8 3/4 (8.75)
Step-by-step explanation:
I divided 35 by 4 on a calculator to get 8.75
I know that 8.75 is the same as 8 3/4
So, say you're dividing 35 jellybeans with 3 of your friends (you're the fourth person, because you need some jellybeans too!)
Each would get 8 jellybeans. But there are 3 left over.
Split each jellybean into 4 parts.
Each of you would get 3/4 of one of the jellybeans. (three tiny parts of the total four tiny pieces)
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can someone please help ! thank you !
If the original price of a pillow is $17.00, what is the sale price?
The sale price of the pillow is $
Answer: 17.68
Step-by-step explanation: just add the taxes, this is your final sale price.
another math problem about functions. THIS IS A TIMES TEST
Answer:
Domains: 1, 2, 3, 4, 5
Ranges: 2, 4, 6, 8, 10
Step-by-step explanation:
Domain is the x and range is the y
If the discriminant of an equation is zero, which of the following is true of the
equation?
A. It has one real solution.
B. It has two real solutions.
C. It has two complex solutions.
D. It has one complex solution.
Answer: A is the answer
Step-by-step explanation:
I just took the test!!
It has one real solution if the discriminant of an equation is zero, option (A) is correct.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
Here:
Discriminant D:
[tex]\rm D =\sqrt{b^2-4ac}[/tex]
D = 0
[tex]\rm x = \dfrac{-b \pm0}{2a}[/tex]
x = -b/2a (one real solution)
Thus, it has one real solution if the discriminant of an equation is zero, option (A) is correct.
Learn more about quadratic equations here:
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What is the answer I feel like this is wrong?
Answer:
x = 6
Step-by-step explanation:
8 = (x/2) + 5
subtract 5 by both sides
3 = (x/2)
multiply by 2 on both sides
6 = x
pls help . ily ppl are so nice
Answer:
Equals
Step-by-step explanation:
You need to know the conversion rate for tons to pounds. 1 ton is equal to 2000 lbs so the answer is =.
3/8 = 15/a can someone please explain the steps for me? I have 2 hws due today and Idk how to do this
Answer:
I think the answer is 15/40
Step-by-step explanation:
So basically this looks like reducing. So first from the three-eights divide the fifteen by three that is 5. So then multiply 8 by 5 and a is = 40
proof divide 40 by 8
-2x-3+4x+8 what’s the answer
Answer:
2x-3+8v
Step-by-step explanation:
Answer:
Assuming we are simplifying, it should be 2x+5
Step-by-step explanation:
Combine like terms.
8-3 is 5
4x-2x is 2x
So yeah
Find the slope of the line that would pass
through the ordered pairs below.
(-4,-52) and (-1, -22)
Answer:
10
Step-by-step explanation:
Here we go!
Slope Formula:
[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } [/tex]
What we know: (-4, -52) and (-1, -22)
Plug in the numbers!
[tex] \frac{ - 52 - ( - 22)}{ - 4 - ( - 1)} [/tex]
Fix it!
[tex] \frac{ - 52 + 22}{ - 4 + 1} [/tex]
Add
[tex] \frac{ - 30}{ - 3} [/tex]
Divide
(negative divided by a negative is a positive!!)
Slope is 10
Hope this helps!
Solve the equation using the Properties of Equality.
PQ = 3x + 14 and QR = 7x - 10; Find x.
Answer
3x+14=7x-10
14+10=7x-3x
24=4x
6=x
Answer:
6
Step-by-step explanation:
3x+14=7x-10
14+10=7x-3x
24=4x
6=x
please follow me...The value of x in the expression is 6.
To obtain the value of x, we equate both PQ and QR
PQ = 3x + 14
PQ = 3x + 14 QR = 7x - 10
PQ = QR
(3x + 14) = (7x - 10)
3x + 14 = 7x - 10
Collect like terms
3x - 7x = - 10 - 14
-4x = - 24
Divide both sides by - 4
x = - 24 / -4
x = 6
Hence, the value of x = 6
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Tom wants to buy his wife a bouquet of flowers for their anniversary. He decides to get them delivered to her work. Tom spends 20 dollars on the roses. He is charged $1.25 per rose and an additional $5 for a card. How many roses did Tom send his wife?.
Tom sent 16 roses to his wife
Step-by-step explanation:
20/1.25=16
Mr. Turner lives in St. Louis, Missouri. Mr. Turner employer pays 100% of his medical insurance. He has rent of $800 and $600 for car payment, $100 light bill, and $300 car insurance. His payroll and income taxes are estimated to be $287.
Given Data:
medical insurance paid = 100%.
rent = $800.
Car payment = $600.
Light bill = $100.
Car insurance = $300.
Taxes = $287.
Solution:
Minimum salary to bear all expenses is
S = Basic expenses + Payroll and taxes
S = $( 800 + 600 + 100 + 300 + 287)
S = $2087.00
His monthly salary is $2087.00 .
This is the required amount needed.
What is the equation of the line that passes through the point (5, 1) and has a slope
of 1?
Answer:
y=1x-4
Step-by-step explanation:
Point Slope Formula: y=m(x-x1)+y
y=1(x-5)+1
1x-5+1
y=1x-4 (y=mx+b)
1) Jill paid $43 for 8 shirts. At this rate, how much will she pay for 12 shirts? *
Answer:
Jill will pay $64.50
Step-by-step explanation:
If you divide $43 by 8 you get 5.375. You then multiply that by 12 and get $64.50
can someone answer this
Answer:
See below
Step-by-step explanation:
Given
4x^-2*y/x*y^-2Solving
4/1 * x^-2/1 * y/1 * 1/x * 1/y^-2=4/1 * 1/x^2 * 1/x * y/1 * y^2/1 =4y^3/x^3Correct steps and answer given above
The mistake was in line 2:
4/1 in line 1 was changed to 1/4 in line 2 by a mistakeExpanded is (4ab ^2 c) ^3
64a ^3 b ^5 c ^3
or
64a ^3 b ^6 c ^3
Answer:
Number 2
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A ball thrown straight up in the air travels 90 inches in the first tenth of a second. In the next tenth of a second the ball travels 85 inches. After each additional tenth of a second, the ball travels 5 inches less than it did during the preceding tenth of a second. How long will it take before the ball starts coming back down? What is the total distance that the ball has traveled once it reaches its maximum height?
Answer:
855
Step-by-step explanation:
1.9 seconds is 19 tenths, so that means we add using the information given, which is that the ball travels 5 fewer inches every tenth of a second:
Time | Inches traveled
0.1 | 90
0.2 | 85
0.3 | 80
0.4 | 75
0.5 | 70
0.6 | 65
0.7 | 60
0.8 | 55
0.9 | 50
1.0 | 45
1.1 | 40
1.2 | 35
1.3 | 30
1.4 | 25
1.5 | 20
1.6 | 15
1.7 | 10
1.8 | 5
1.9 | 0
90+85+80+75+70+65+60+55+50+45+40+35+30+25+20+15+10+5+0=855
how will you know the nature of the roots of the given quadratic equation?
Hi! here your answer
Answer:
If D≥0, then the roots are real and distinct.
If D=0, then the roots are real and equal.
If D≤0, then no real roots exist
Hope you understood!
Write an equation in point slope form of the line graphed below. (Use the right hand point)
Answer:
y-3 = (-1/4)(x-4)
Step-by-step explanation:
Point-slope form is written as y-y1 = m(x-x1)
The y - 3 portion comes from the coordinate plotted, where the y-coordinate is 3, so from the function y-y1, y1 = 3.
The m equals the slope, the rise over run. Choose the two coordinates, subtract the y's from each other and the x's from each other, get the absolute value of them, and then put in the fraction (y/x) to get your slope of m. The 2 coordinates you have are (0,4) and (4,3). You subtract |4-0| and |3-4|, so you get for the x's = 4, and the y's=1. Now the slope was y/x, so 1/4 is your slope for m.
For the x, use the same coordinate you got for your y to get your x, so the x was 4.
Plug them all into the point-slope function to get your answer, which is y - (3), (-1/4) (x - [4])
Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9 and the length of T Q is 16. The length of R T is x. What is the value of x? 12 units 15 units 20 units 25 units
Answer:
RT = 12 units
Step-by-step explanation:
From the figure attached,
ΔSRQ is right triangle.
m∠R = 90°
An altitude has been constructed from point T to side SQ.
m∠RTQ = 90°
By applying geometric mean theorem in triangle SRQ,
[tex]\frac{\text{RT}}{\text{ST}}=\frac{\text{TQ}}{\text{RT}}[/tex]
[tex]\frac{x}{9}=\frac{16}{x}[/tex]
x² = 16 × 9
x² = 144
x = √144
x = 12
Therefore, length of altitude RT is 12 units.
Answer:
12 units
Step-by-step explanation:
You make two batches of cookies. In batch A you use 3/4 of a cup of flour to every 1/5 of a cup of chocolate chips. In batch B you use 2/3 of a cup of flour for every 1/6 of a cup of chocolate chips. Find the unit rates for flour per cup of chocolate chips for each batch and decide which cookies have more chocolate chips.
Answer:
a) The unit rate are:
Batch A = 3 3/4 flour per cup of chocolate chips
Batch B = 4 flour per cup of chocolate chips.
b)Batch A is the cookie with the most chocolate chips.
Step-by-step explanation:
In batch A you use 3/4 of a cup of flour to every 1/5 of a cup of chocolate chips.
The unit rate for flour per cup of chocolate chips for batch A =3/4 cups of flour ÷ 1/5 cup of chocolate chips
= 3/4 ÷ 1/5
= 3/4 × 5/1
= 15/4
= 3 3/4 flour per cup of chocolate chips.
In batch B you use 2/3 of a cup of flour for every 1/6 of a cup of chocolate chips.
The unit rate for flour per cup of chocolate chips for batch B =
2/3 of a cup of flour ÷ 1/6 of a cup of chocolate chips.
= 2/3 ÷ 1/6
= 2/3 × 6/1
= 4 flour per cup of chocolate chips.
b)
Number of chocolate chips used in Batch A = 1/5 cup =>0.2 cup
Number of chocolate chips used in Batch B = 1/6 cup => 0.167 cup
0.2 cup is larger than 0. 167 cups.
Therefore, Batch A is the cookies with the most chocolate chip
Which of the following is NOT a transformation? a Translation b Rotation c Elation d Reflection
-) A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Let w equal the price of a bottle of water. Write an equation that
represents the situation.
Answer:
22( w + 2 ) =77 and the amount of the water bottle would be 1.50
Step-by-step explanation:
Which simplified ratio correctly compares 12 yard to 20 feet?
A. 5:9
B. 3:5
C. 9:5
D. 5:3
Answer:
The answer is B
Step-by-step explanation:
If you look at the problem you can put 12 and 20 into a ratio like this
12:20
then if you simplify it by like terms say 4
12 divided by 4 is 3
20 divided by 4 is 5
3:5
= B
The length of a rectangle is twice as great as its width. When both the width and length are increased by 5 inches, the new rectangle has perimeter of 80 inches. Show an equation to find the length and width of the original rectangle. Solve the equation and give the original length and width.
Answer:
Original rectangle
Length = 20 inches
Width = 10 inches
Step-by-step explanation:
Let
Original rectangle
Width = x
Length = 2x
When both the width and length are increased by 5 inches, the new rectangle has perimeter of 80 inches
New rectangle
Width = x + 5
Length = 2x + 5
Perimeter = 80 inches
Perimeter of a rectangle = 2(length + Width)
80 = 2{(x+5) + (2x+5)}
80 = 2( x + 5 + 2x + 5)
80 = 2(3x + 10)
80 = 6x + 20
80 - 20 = 6x
60 = 6x
x = 60 / 6
= 10
x = 10 inches
The length and width of the original rectangle
Width = x
= 10 inches
Length = 2x
= 2(10)
= 20 inches
Rick and lulu each went on a family vacation. Rick drove 375 miles in 5 hours; Lulu drove for 6 hours and 30 minutes.If they traveled at the same speed, then how many more miles did lulu drive than rick?
Answer:
112.5 miles
Step-by-step explanation:
375/5=75
75*6.5=487.5
487.5-375=112.5
Please Help Me :(((((( I Really Dont Know How TO Do This :(((((((
which explicit formula describes the sequence −9, −3, 3, 9, 15, …?
Group of answer choices
an = 9n + 6
an = 6n + 15
an = 6n - 15
an = 9n – 6
======================================================
Explanation:
This sequence is arithmetic
The first term is a = -9
The common difference is d = 6 since we're adding 6 to each term to get the next one (eg: -3+6 = 3 or 3+6 = 9 or 9+6 = 15)
Plug those values into the arithmetic nth term formula below
an = a + d*(n-1)
an = -9 + 6*(n-1)
an = -9 + 6n-6
an = 6n - 15
--------------
As a check, let's plug in something like n = 1
an = 6n - 15
a1 = 6*1 - 15
a1 = 6 - 15
a1 = -9
We see that the 1st term is -9, which matches the sequence given
Now let's plug in n = 2
an = 6n - 15
a2 = 6*2 - 15
a2 = 12 - 15
a2 = -3
The 2nd term is -3. This also matches.
I'll let you check the other values of n to confirm the answer.
