Answers:
x = 21.25y = 22.5z = 23.75=============================================================
Work Shown:
AP = arithmetic progression, which is the same as arithmetic sequence
d = common difference
x = 20+dy = 20+2dz = 20+3dNotice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.
So that must mean 25 is the same as 20+4d
20+4d = 25
4d = 25-20
4d = 5
d = 5/4
d = 1.25
and therefore,
x = 20+d = 20+1.25 = 21.25y = 20+2d = 20+2*1.25 = 22.5z = 20+3d = 20+3*1.25 = 23.75We could convert these to fraction form, but I find decimal form is easier in this case.
the function y=-2(x-3)^2+4 shows the daily profit of a hot dog stand, where x is the price of a hot dog where x is the price of a hot dog
Step-by-step explanation:
the answer is in the image above
pls give me brainliest
the product of 5 and x subtracted from the sum of y and 3
Step-by-step explanation:
The product of 5 and x subtracted from the sum of y and 3 :
Product of 5 and x :
[tex]5 \times x = 5x[/tex]
Sum of y and 3 :
[tex]y + 3[/tex]
The product of 5 and x subtracted from the sum of y and 3 :
[tex](y + 3) - (5x)[/tex]
Answer:
y+3 - 5x
Step-by-step explanation:
the product of 5 and x
5x
the sum of y and 3
y+3
Subtract 5x from (y+3)
y+3 - 5x
Simplify 8(x + 1) - 12x (PLS HELP)
[tex]\sf\huge\underline\color{pink}{༄Answer:}[/tex]
[tex]\tt8(x + 1) - 12x \\ = \tt8x + 8 \times 1 - 12x \\ = \tt8x + 8 - 12x \\ = \large\boxed{\tt{\color{pink}{ - 4x + 8}}}[/tex]
[tex]\color{pink}{==========================}[/tex]
#CarryOnLearning
[tex] \sf \: 8(x + 1) - 12x \\ = \sf8x + 8 - 12x \\ \sf = 8x - 12x + 8 \\ = \underline{\bf - 4x + 8}[/tex]
Solve the simultaneous equation x + 2y =2 and 2x + 5y = 4
Answer:
(2,0)
Step-by-step explanation:
2 (x + 2y) = (2)
2x + 4y = 4
- 2x + 5y = 4
-1y = 0
y = 0
2x + 5(0) = 4
2x = 4
x = 2
Answer:
x=2 y=0
Step-by-step explanation:
solve for y
x+2y=2
x=2-2y
2(2-2y)+5y
4-4y+5y=4
4+y=4
y=0
plug into equation
2x+5(0)=4
x=2
and
x+2(0)=2
x=2
Solve the following word problems:
Answer:
Step-by-step explanation:
SP = ₹ 2250
Loss = 1/2% = 0.5%
[tex]CP = \frac{100}{100-loss}*SP\\\\=\frac{100}{99.5}*2250\\\\[/tex]
= ₹ 2261.31
b) Profit = 15%
[tex]SP = \frac{100+profit}{100}*CP\\\\= \frac{115}{100}*2261.31[/tex]
= ₹ 2600.51
Select the correct answer.
The product of two numbers, x and x+ 3, is 550. Which equation could be solved to find the value of the smaller number, x?
Answer:
C) x^2 + 3x
Step-by-step explanation:
The equation that could be solved to find the value of the smaller number, x is x^2 + 3x = 550
How to determine the equation?The numbers are given as: x and x + 3
The product of these numbers is 550.
So, we have:
x * (x + 3) = 550
Expand
x^2 + 3x = 550
Hence, the equation that could be solved to find the value of the smaller number, x is x^2 + 3x = 550
Read more about quadratic equations at:
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PLSSS HELP ME SOLVE THIS ABSTRACT REASONING QUESTION
I thought it was d but apparently its A and i don't understand!!
Answer:
A
Step-by-step explanation:
From the first row, you can see the number of circles increase as you move from left to right therefore the same principle was applied for the row below it.
Can someone pls pls plz help
Answer:
About 5× more
Step-by-step explanation:
9,460,800÷1,861,440=
5.0825167612
Answer:
Option : CStep-by-step explanation:
First we estimate their value,
9,460,800 = 9,000,000 (estimate.)
1,861,440 = 2,000,000 (estimate.)
Then,
9,000,000 ÷ 2,000,000 = 4.5
When estimated,
4.5 = 5 (Ans)
What does the question mean? For the blank
Answer:
Absolute value.
Step-by-step explanation:
We have the expression:
[tex]\displaystyle \sqrt{s^2}[/tex]
The square root and the square will cancel. This yields:
[tex]=|s|[/tex]
We need the absolute value because any value squared is positive. The square root of a positive value will also be positive.
In other words, if we only simplified the expression down to s without the absolute value, if s was originally negative, our simplification will have also been negative.
For instance, say s = -7, then:
[tex]\displaystyle \sqrt{(-7)^2}=\sqrt{49}=7[/tex]
However, if we let √s² = s, then s = -7. By having the absolute value, we have that |s| = |-7| = 7, which is the correct statement.
Solve the triangle. Round decimal answers to the nearest tenth.
pls pls help me answer
What is the missing angles?
Step-by-step explanation:
x = ??
y = 72 + 40 = 112
x =112 - 180
x = 180-112
x = 68
or = 180 - 72 = 108
180 - 40 = 140
140 - 108 = 32
Check out this cube: 3 Find the surface area of the cube (above) using its net (below
Answer:
54
Step-by-step explanation:
Surface area of a cube = 6a²
Where,
a = edge = 3
Surface area of a cube = 6a²
= 6 * (3)²
= 6 * (3 * 3)
= 6 * 9
= 54
Therefore,
The Surface area of the cube = 54
Insert parentheses where needed so that the result of the expression is 2.
45-25 ÷2x2+2
Answer:
(45 - 25) / 2 × (2 + 3)
Step-by-step explanation:
Given:
45 - 25/2 × 2 + 3
By trials:
(45 - 25) / (2 × 2) + 3
= 20/4 + 3
= 20/7
Another trial:
(45 - 25)/2 × (2 + 3)
= 20/2 × 5
= 20/10
= 2
The parentheses should be inserted like this
(45 - 25) / 2 × (2 + 3)
A recipe for sugar cookies calls for 2 1/2 cups of sugar for 36 cookies. How much sugar would be needed for 48 cookies?
Answer:
[tex]3 \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{5}{2} }{36} = \frac{x}{48}[/tex]
36x = 5/2 * 48
36x = 120
[tex]x = 3 \frac{1}{3}[/tex]
The amount of sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.
It is given that a recipe of sugar cookies needed [tex]2\frac{1}{2}[/tex] cups of sugar for 36 cookies.
We have to find out the amount of sugar needed for 48 cookies.
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
Sugar required for 36 cookies = [tex]2\frac{1}{2}[/tex] cups
Sugar required for 1 cookies
= [tex]2\frac{1}{2}[/tex] ÷ 36 cups
= [tex]\frac{5}{2}[/tex] ÷ 36
= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex]
So , the sugar required for 48 cookies will be equal to ;
= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex] × 48
= [tex]\frac{240}{72}[/tex]
= [tex]\frac{10}{3}[/tex]
or
[tex]3\frac{1}{3}[/tex] cups
Thus , the sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.
To learn more about unitary methods click here ;
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Marina correctly simplified the expression , assuming thatHer simplifed expression is below.
Answer:
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]
[tex]\frac{b^{4}}{b^{-3}}=b^{4-(-3)}=b^{4+3}=b^{7}[/tex]
Answer:
7
Step-by-step explanation:
Can anyone explain this to me?
Answer:
$7, 657
Step-by-step explanation:
Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.
please help me add this fractions(show work)
Answer:
Step-by-step explanation:
Simplify 6 to the -3 power over 6 to the fifth power.
Pls answer quick. Thank U very much.
Answer:
1/1679616
Step-by-step explanation:
Answer:
Step-by-step explanation:
6^-3/6^5 = 6^-8 = 5.95 x 10^-7
The length of a string in yards is a function f(n) of the length n in inches. Write a function rule for this situation. f(n) = 12n f(n) = 36n
Given:
The length of a string in yards is a function f(n) of the length n in inches
To find:
The function rule for the given situation.
Solution:
We know that,
12 inches = 1 yard
1 inch = [tex]\dfrac{1}{12}[/tex] yard
n inches = [tex]\dfrac{n}{12}[/tex] yards
It is given that the length of a string in yards is a function f(n) of the length n in inches. So,
[tex]f(n)=\dfrac{n}{12}[/tex]
Therefore, the required function for the given situation is [tex]f(n)=\dfrac{n}{12}[/tex].
Please help me answer this question it's part of my question that are due today please please help
Answer:
around 82.75
Step-by-step explanation:
Your credit card has a limit of $4,925. To maintain an acceptable debt ratio (50%), what is the maximum balance you can have on the card?
what is the volume of a cylinder, in cubic feet, with a height of 5 feet and a base diameter of 10 feet? Round to the nearest tenths place
Answer:
Volume of cylinder
= π r² h
3.14 × 5×5×5392.5= 392.9 ft³OAmalOHopeO
Answer:
The volume of the cylinder would be approximately 392.5 ft^3
Step-by-step explanation:
Just like the volume formulas for a cuboid, the formula for a cylinder is: Vol = (Circle Area)(Height). Since we already have the height value, let's move onto the circle area.
The formula for the area of a circle is: πr^2. The problem only gave us the value for the diameter (10), so to get the radius value, we just need to divide the diameter by 2, and we get a value of 5 ft as our radius. Next, we just need to square root it. So 5 x 5 = 25. Then, we multiply it by π. Because the problem is asking for an approximate answer, we can just assume that π is 3.14. And that gets us a value of 78.5 ft^2 for the area of the circle.
Finally, we just need to multiply the area and the height of the cylinder. So 78.5 x 5 is approx. 392.5 ft^3. Since we don't need to round to the nearest tenths place, we can just leave it alone.
Since I didn't use the exact value of π, the real answer may be a little off of what we got, but if you want to extra precise, you can go ahead and use the actual value of π.
3. Which equation has non-real solutions?
a. 5x2 - 4x – 9 = 0
b. 2x2 - X -1 = 0
c. 6x2 + 11x + 17 = 0
d. 7x2 + 4x – 7 = 0
Answer:
c
Step-by-step explanation:
because 11x + 17 = 3x
Solve for x in this circle.
Answer:
Step-by-step explanation:
7*(7 + x+1) = 6*(x + 5 + 6) {Intersecting secant theorem}
7 *(x + 8) = 6*(x + 11)
Distributive property,
7x + 56 = 6x + 66
Subtract 56 from both sides
7x = 6x + 66 - 56
7x = 6x + 10
Subtract 6x from both sides
7x - 6x = 10
x = 10
2x^3x8x^8= ?
Help plzz
Answer:
16x^11
Step-by-step explanation:
2x^3 x 8x^8
= 2 x 8 ( x^8 x x^3 )
= 16 ( x ^8 + 3 )
= 16x^11
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{2x^3\times8x^8}\\\textsf{There arent any like terms so we \underline{do not} have to compare them together}\\\mathsf{= \mathsf{2\times8 \rightarrow \bf 16}}\\\mathsf{= 3+8\rightarrow\bf 11}\\\mathsf{= 16\times x^{11}}\\\mathsf{= \bf 16x^{11}}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 16x}\mathsf{\bf ^{11}}}}\huge\checkmark\\\\\\\large\textsf{Good luck on your assignment and your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.
n= 6, x= 3, p= 1/6
Answer:
0.054
Step-by-step explanation:
We have the general binomial probability calculation as;
n C r * p^r * (1-p)^(n-r)
Where 1-p = 1-1/6 = 5/6
So we have ;
6 C 3 * (1/6)^3 * (5/6)^3
= 0.054
The value of the expression 2x^2/x(100-15x) when x=5 is
Answer:
[tex] \frac{2}{5} [/tex]
Step-by-step explanation:
[tex]2({5}^{2}) \div 5(100 - 5(15))[/tex]
[tex]50 \div 25 \times 5[/tex]
[tex]50 \div 125[/tex]
[tex]2 \div 5[/tex]
HELP PLEASEEEEEEE ASAP
Answer:
p=9
r=18
Step-by-step explanation:
given that the value of circumference of a circle is 2/3 of its area. determine the length of the radius of the circle!
____________
Step-by-step explanation:
circumference = 2.π.rarea = π.r²So:
⅔ × π.r² = 2.π.r
3 = πr²/πr
3 = r
r = 3
#mathisfun
the total cost of the tiles is £68 plus VAT
the rate of VAT is 20%
(b) work out 20% of £52
Answer:
a) 81-6
b) 10.4
Step-by-step explanation:
a) assuming that the VAT is 20% of the 68 pounds,
you calculate 120% of 68 (convert percentage to decimal)
= 1,20 * 68 = 81.6 pounds
or
calculate 20% of 68 pounds and add the answer to 68 pounds:
(0.2 * 68) + 68 = 81.6 pounds
b) 20% of 52
first convert the percentage to decimals:
0.2 * 52 = 10.4 pounds
