Answer:
-3
Step-by-step explanation:
y = -3x + b
-7 = -3(-3) + b
-7 = 9 + b
-16 = b
y = -3x - 16
Last week, a dairy farm produced n kg of cheese.
The dairy farm also produced 30 kg more yoghurt than cheese and 4 times
as much ice cream as cheese.
The dairy farm produced more kilograms of ice cream than yoghurt last
week.
Write and solve an inequality to work out the possible values of n.
Answer:
The dairy farm produced 30 + n kg of yoghurt, where n is the number of kilograms of cheese produced.
The dairy farm also produced 4n kg of ice cream, where n is the number of kilograms of cheese produced.
Since the dairy farm produced more kilograms of ice cream than yoghurt, we can write the following inequality:
4n > 30 + n
Subtracting n from both sides gives us:
3n > 30
Dividing both sides by 3 gives us:
n > 10
Therefore, the possible values of n are any value greater than 10, such as 11, 12, 13, 14, and so on.
Step-by-step explanation:
ITEMS
.
Paula purchased 8 erasers for $100.00. Calculate the cost of 12 erasers.
Answer:
$150
Step-by-step explanation:
100/8=12.5
12.5*12=150
13. The number of pictures your printer
can print are shown in the table. Find
the rate in pictures per minute.
Minutes 2 4 6
8
Pictures 16 32 48 64
15.
16
Answer: The table shows the number of pictures that a printer can print at different intervals of time (measured in minutes). To find the rate in pictures per minute, we need to divide the number of pictures printed by the number of minutes it took to print them.
For example, at 2 minutes the printer printed 16 pictures. The rate of pictures printed per minute is 16 pictures / 2 minutes = 8 pictures/minute.
Similarly, at 4 minutes the printer printed 32 pictures. The rate of pictures printed per minute is 32 pictures / 4 minutes = 8 pictures/minute
And, at 6 minutes the printer printed 48 pictures. The rate of pictures printed per minute is 48 pictures / 6 minutes = 8 pictures/minute.
And, at 8 minutes the printer printed 64 pictures. The rate of pictures printed per minute is 64 pictures / 8 minutes = 8 pictures/minute.
From this it can be seen that the printer has a constant rate of 8 pictures per minute, independent of the number of minutes, it is producing 8 pictures/min.
The value 15 is not related to the table, so it's not the rate, and 16 is not the rate either, it is the number of pictures printed at 8 minutes.
Step-by-step explanation:
NEED HELP ASAP 50 POINTS
Rhombus ABCD has a diagonal BD¯¯¯¯¯.
m∠ADB=(4x−12)°
m∠CDB=(3x+6)°
What is the m∠ADC ?
Enter your answer in the box
º
Answer:
Angle ADC = 7x - 6°
Step-by-step explanation:
4x - 12 + 3x + 6 = 7x - 6
Answer:
120°Step-by-step explanation:
Diagonal BD of a given rhombus is angle bisector of ∠ADC, so:
m∠ADB = m∠CDBSubstitute the values and solve for x:
4x - 12 = 3x + 64x - 3x = 6 + 12x = 18Find the value of ∠ADC:
m∠ADC = 2(4*18 - 12) = 120°What is another way to describe the following expression?
5 - (x + y)
A. the difference of 5 and the cube of the sum of x and y
B. the product of 5 and the sum of x and y
C. the product of 5 and the cube of the sum of x and y
D. the difference of 5 and the sum of x and y
Theater tickets sold for $7.50 on
the main floor and $, in the
balcony. The total revenue was
$3250, and there were 100 more
main-floor tickets sold than
balcony tickets. Find the number
of each type of ticket sold.
(in Substitution method)
Cant figure the work out :/
What is a 3 variable equation called?
Equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables.
what is linear equation ?A linear equation is one that has the form y=mx+b in algebra. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
given
equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables if all four variables—a, b, c, and r—are real values and not equal to 0.
(The x, y, and z are the "three variables"). The coefficients of the equation are designated by the numerals a, b, and c.
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what is the axis of symetery for (0,-4)
Answer:
the axis of symmetry is 0 which is x=0
Step-by-step explanation:
Rewrite into standard form A. 4.23 x 10^-8
B. 1.89 x 10^12
C. 6.2 x 10^-1
Pls help
Is -3 less than or greater then -8
answer:
yes, -3 is greater than -8
explanation:
-3 is closer to the 0 on a number line making it greater
hope this helped!
A basketball is shipped in a cube-shaped box. The basketball just want touches the sides of the box. What is the radius of the ball? What is the volume?
Answer:
The answer is "4.8 and 463.011"
Step-by-step explanation:
Please find the complete question in the attached file.
Given:
side[tex]= 9.6 \ in\\\\[/tex]
let the radius of the ball
[tex]2r=9.6 \ in\\\\r=\frac{9.6}{2}\\\\r= 4.8 \ in\\\\[/tex]
The radius of the basketball [tex]= 4.8 \ in\\\\[/tex]
The volume of the basketball[tex]=\frac{4}{3}\pi r^3=\frac{4}{3}\times 3.14 \times 4.8^3= 463.011 \ in^3[/tex]
NEED HELP ASAP
PLEASE HELP, WILL GIVE BRAINLIEST
Answer:
8 1/8
Step-by-step explanation:
1st I'm going to turn these into improper fractions with a golf swing (multiply the bottom, add the top, keep denominator the same)
3 times 4 + 3 = 15, so we get 15 over 4
4 times 8 + 3 = 35, so we get 35 over 8
Next I am going to give them a common denominator. (Their least common multiple is 8)
one denominator is already 8, so we need to fix the other one by multiplying it by two (multiply both sides)
15/4 times 2/2 = 30/8
Now we add the two fractions (DO NOT ADD DENOMINATORS)
30/8 + 35/8 = 65/8
Finally to make it a mixed number, ask self, how many times does 8 go into 65? 8 times. That's the whole number. what's left over? 1. That is the numerator. The denominator stays the same.
I need help I been asking for hours pls help
Answer:
419 ft
Step-by-step explanation:
1063 ft is about 324002.4 mm
324002.4/477 to get the scale ratio. Which is 679.25:1
I am halfway through the problem and notice I should have converted mm to ft and not the other way around. It gives the same answer it just takes an extra step.
188*679.25=127699mm for one side.
Convert that back to ft and you get 418.959 which would just be 419 ft
Answer:
419 ft
Step-by-step explanation:
convert ft to mm: 1063 ft ≈ 324002.4 mm (I just used g00gle)
324002.4/477 ≈ 679.25, the real Eiffel tower is ≈ 679.25 times larger
188 x 679.25 = 127699 mm
convert mm to ft: 127699 mm ≈ 418.96 ft ≈ 419 ft
ANSWER IM DESPERATE 10 POINTS EACH+BRAINLY IF CORRECT
60 POINTS PLS HELP!!
8 to the 3rd power over 8 rewritten using using a single positive exponent [tex]\frac{8^{3} }{8}[/tex]
Answer:
it is 8^2.
Step-by-step explanation:
8 ^ 3 = 8 x 8 x 8
8^3/8 = 8 x 8 x 8 / 8
you cross one 8 on the bottom and the top which leaves you with 8 x 8 or 8^2
Answer:
Solution given:
single positive exponent
[tex]\frac{8^{3} }{8}=8^{3-1}=8² [/tex]
single positive exponent is 8².
Note:
we have
[tex]\frac{x^{a}}{x^{b}}=x^{a-b}[/tex]
Caroline was thinking of a number. Caroline halves it and gets an answer of 34.7. What was
the original number?
Answer:
69.4
Step-by-step explanation:
34 + 34 = 68
.7+.7=1.4
68+1.4= 69.4
heeeeeeeeeeeeeeeeeeelp?
Answer:
-
Step-by-step explanation:
There needs to be more information. Where is the point at?
i need help on both sections PLEASE!!!
Answer:
Step-by-step explanation:
a.3x-2
b.3x+2
c.3x-2
d.3x-2
so. the answer are a, c, d equivalent to 3x-2
The table shows a bacterial population y after x days
days, X 0,1,2,3,4
Population,8,24,72,216,648
Write an exponential function that represents the population
Y=
The exponential function that represents the population is y = a*3^x.
What is exponential function?
The formula for exponential functions is y = ab^x, where b is the constant ratio and a is the starting point. Observe that as the value of x increases by a constant amount, the value of y increases by a common ratio by looking at a table of ordered pairs. All exponential functions share this trait.
We have to find the exponential function for the given table.
Since,
Exponential function = ab^x
where,
a is the starting point
b is the common ratio.
Here,
Common ratio = 24/8 = 72/24 = 216/72 = 648/216 = 3
So, the function becomes,
Exponential function = y = a*3^x
Hence, the exponential function that represents the population is
y = a*3^x.
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1. 12x^2 +2xy
2. 21ab^2 +35ab
3. w^2+15w+ 14
4. m^2-12m+20
5. 2k^2+5k-3
6. -r^2-5r-6
7. 8y^2+26y+15
8. -2d^2-7d-5
9. (h+6)(h-4)=0
10. s^2-7s+12=0
11. -2d^2-7d-5
Answer:
1. 12x^2 +2xy
Step-by-step explanation:
1. 12x^2 +2xy
2. 21ab^2 +35ab
3. w^2+15w+ 14
4. m^2-12m+20
5. 2k^2+5k-3
6. -r^2-5r-6
7. 8y^2+26y+15
8. -2d^2-7d-5
9. (h+6)(h-4)=0
10. s^2-7s+12=0
11. -2d^2-7d-5
Sharon and Sue are making muffins. Sharon uses 3 cups of milk, and Sue uses 1 pint of milk. Who uses the greater amount of milk? Explain.
answer:
Sharon used more milk because 3 cups equal 1.5 (one and a half) pints.
Detailed answer:
1 cup equals 0.5 pints or half of a pint. So if you take 0.5 and multiply it by 3 you get 1.5 and that is the amount of pints that Sharon uses but Sue uses 1 pint or 2 cups. so 1.5 pints is grater than 1 pint by 0.5
(sorry if this was not so clear i am not that good at explaining things, also i hope this helps and you get a good score on whatever you are doing.)
The radius of a circle is 7 inches. What is the circle's circumference?
Answer:
43.98
Step-by-step explanation:
have a nice day :)
passes through (6,6) and (-2,2)
Answer: 1/2 is the slope.
Step-by-step explanation: (-2-6)/(2-6) = -8/-4
-8/-4 Simplified is 1/2
Therefore 1/2 is your slope
Hope this helps!
Solve your equation using trail and improvement. A number plus ten times its square root is is equal to one thousand
Answer:
[tex]x \approx 729[/tex]
Step-by-step explanation:
Given
Let the number be x
So:
[tex]x + 10\sqrt x = 1000[/tex]
Required
Using trial and improvement, find x
This implies that we keep guessing the values of x until we get a value that match the equation.
Let
[tex]x = 625[/tex]
So, we have:
[tex]x + 10\sqrt x = 1000[/tex]
[tex]625 + 10 *\sqrt{625}[/tex]
Take the square root of 625
[tex]625 + 10 *\sqrt{625} = 625 + 10 *25[/tex]
[tex]625 + 10 *\sqrt{625} = 625 + 250[/tex]
[tex]625 + 10 *\sqrt{625} = 875[/tex]
Let
[tex]x = 729[/tex]
So, we have:
[tex]x + 10\sqrt x = 1000[/tex]
[tex]729 + 10 * \sqrt{729}[/tex]
Take the square root of 729
[tex]729 + 10 * \sqrt{729} = 729 + 10 * 27[/tex]
[tex]729 + 10 * \sqrt{729} = 729 + 270[/tex]
[tex]729 + 10 * \sqrt{729} = 999[/tex]
At this point, we can conclude that x is approximately 729 because
[tex]999 \approx 1000[/tex]
So:
[tex]x \approx 729[/tex]
Tell whether the rates are equivalent. 7 1/2 miles for every 3/4 hour 1/2 mile for every 3 minutes
Answer:
Yes, they are equivalent
Step-by-step explanation:
Tell whether the rates are equivalent.
Rate formula = Speed(miles)/Time(hour)
1)7 1/2 miles for every 3/4 hour
Hence
Rate = 7 1/2 miles ÷ 3/4 hour
= 15/2 ÷ 3/4
= 15/2 × 4/3
= 5 × 2
= 10 miles per hour
2) 1/2 mile for every 3 minutes
Time = 60 minutes = 1 hour
3 minutes = x
x = 3/60
x = 0.05 hour
Hence
Rate = 1/2 mile ÷ 0.05 hour
= 0.5 mile ÷ 0.05 hour
= 10 mile per hour
Therefore, both rates are equivalent
2
The scores of seven people playing a card game are listed below.
56, 103, 114, 80, 141, 68, 150
What is the interquartile range of the scores?
OA. 35
OB. 73
O C. 102
OD. 94
Answer:
B. 73
Step-by-step explanation:
An explanation is in the picture if you need it.
z+9 < 24
solve for z
pls help
Answer:
z < 15
Step-by-step explanation:
z + 9 < 24
z + 9 - 9 < 24 - 9
z < 15
Answer:
z < 15
Step-by-step explanation:
To solve for z, you need to isolate it on one side of the equal sign, or in this case, the < sign.
If you subtract 9 from the left side of the equation, z will be alone. But whatever you do to one side you have to do to the other. So subtract 9 from 24 as well and you get z < 15
EKA MATH²
6 M2 TD Lesson
▸
A trainer at a gym earns $2,456.75 every month. She earns an extra $4.75 every time she sells
a gym membership. Last month, the trainer sold 32 gym memberships. What is the total amount
of money the trainer earned last month?
Answer: We know that the trainer earns $2,456.75 every month, and she earns an extra $4.75 every time she sells a gym membership.
And last month she sold 32 gym memberships
We can calculate the total amount of money the trainer earned from selling gym memberships by multiplying the number of memberships sold by the amount earned per membership:
32 memberships * $4.75 per membership = $152.00
To find the total amount of money the trainer earned last month, we can add the amount earned from selling gym memberships to the amount earned from her salary:
$2,456.75 + $152.00 = $2,608.75
So, the total amount of money the trainer earned last month is $2,608.75
Step-by-step explanation:
Which is closest to the quotient 4,367 -- 0. 004?
1,000
10,000
100,000
1,000,000
Answer: 1000
Step-by-step explanation:
i took this quiz before ! !
solve for x round to the nearest tenth. hurry!!!
Answer:
Law of cosines:
[tex] {x}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \gamma ) \\ = {12}^{2} + {15}^{2} - 2(12)(15) \cos(144) \\ = 144 + 225 - 360( - 0.809) \\ = 660.246 \\ x = 25.7[/tex]