Answer:
x = 5, y = 5
Step-by-step explanation:
[tex] {5}^{x - 3} \times {3}^{2y - 8} = 225 \\ {5}^{x - 3} \times {3}^{2y - 8} = 25 \times 9 \\ {5}^{x - 3} \times {3}^{2y - 8} = {5}^{2} \times {3}^{2} \\ equating \: like \: power \: terms \: from \: both \:\\ sides \\ {5}^{x - 3} = {5}^{2} \\ x - 3 = 2 (Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal) \\ x = 3 + 2
\\ \huge \red{ \boxed{ x = 5}} \\ \\
{3}^{2y - 8} = {3}^{2} \\ 2y - 8 = 2(Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal) \\ 2y = 2 + 8 \\ 2y = 10 \\ y = \frac{10}{2} \\ \huge \purple{ \boxed{y = 5}}[/tex]
In two the three sentences, explain how you find the value that would complete the ordered pair if the point is on the
graph of f(x) = 4x - 6?
(3,_____)
A line passes through the point (9, 4) and has a slope of
4 over 3
Write an equation in slope-intercept form for this line.
Answer: y = 4/3x-9
Step-by-step explanation:
We just need to find the y-intercept, b. Recall that y-intercept form is y=mx+b. Plug in what we have. y=-4, m= 4/3, x=-9.
4= 4/3(9)+b
4=13+b
-9=b
now rewrite the equation with b now. y= 4/3x-9
Select the correct answer from the drop-down menu.
Which expression represents the quotient of this model?
-x-2
X-2
-X + 2
x+2
quotient:
Answer:
The correct option is C.
C) -x + 2
Step-by-step explanation:
In mathematics, the term which is being divided is called a dividend. The term by which the dividend is getting divided is called a divisor. The quotient is the term we get after dividing the dividend by a divisor.
Here in this case, the dividend is written.
-x² x x
which in the equation form is written as
-x² + x + x
add the x terms to simplify
-x² + 2x
The divisor is given as x, divide the equation by x:
(-x² + 2x)/x
(-x²/x) + (2x/x)
-x+2
Which is the quotient.
Answer:
C
Step-by-step explanation:
4x — 9 = 6 — x
Help please
Step-by-step explanation:
4x - 9 = 6- x
4x + x = 6 + 9
5x = 15
x = 15/5
x = 3
Answer:
X=3
Step-by-step explanation:
4x — 9 = 6 — x
Add 9 on both sides
4x=15-x
add x on both sides
5x =15
divide by 5
x=3
What is the value for y?
Enter your answer in the box.
Answer:
y = 14
Step-by-step explanation:
The sum of the angles in a triangle add to 180 degrees
50 + 2x+ 5y + 10 = 180
We know that 2x = 50 since they are the base angles of sides that have the same length, they must be the same
50 + 50 + 5y+10 =180
Combine like terms
110 + 5y =180
Subtract 110 from each side
110+5y-110 = 180-110
5y = 70
Divide each side by 5
5y/5 =70/5
y = 14
PLEASE HELP ME IF YOU CAN!
Many states use a lottery such as Powerball®. Game tickets select 5
white balls numbered from 1 to 69 and one red ball numbered from
1 to 26. Suppose a person wanted to purchase a lottery ticket every minute, each one with a new combination of numbers. At that rate, how many days would it take to purchase all possible ticket combinations?
Answer:
292,201,338 would be the answer to your question
Number of days purchase all possible ticket is 292,201,338
Given:
Number of white ball selected = 5
Total number of ball = 69
Number of red ball = 26
Find:
Number of days purchase all possible ticket
Computation:
Number of days purchase all possible ticket = ⁶⁹C₅ × ²⁶C₁
Number of days purchase all possible ticket = [69! / (5!64!)]26
Number of days purchase all possible ticket = [69 × 68 × 67 × 66 × 65 × 26] / [5 × 4 × 3 × 2 × 1]
Number of days purchase all possible ticket = 292,201,338
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PLZ HURRY
The graphed line shown below is y = negative 3 x + 6. On a coordinate plane, a line goes through points (1, 3) and (2, 0). Which equation, when graphed with the given equation, will form a system that has no solution? A)y = 3 x + 6 B)y = negative 3 (x + 6) C)y = negative 3 (x minus 2) D)y = 3 (x minus 2).
Answer:
y = -3 (x + 6) when graphed with the given equation, will form a system that has no solution
Step-by-step explanation:
Given line equation: [tex]y=-3x+6[/tex]
We are supposed to find Which equation, when graphed with the given equation, will form a system that has no solution.
We know that a system of two linear equations has no solution if and only if the two equations have the same slope, but not the same y-intercept.
General equation of line = [tex]y=mx+c[/tex]
A)y = 3 x + 6
So, Slope = 3
B)y = -3 (x + 6)
y=-3x-18
So, slope=-3
C)y=-3(x-2)
y=-3x+6
So, Slope = -3
D)y=3(x-2)
Slope =3
So, B has the same slope but different intercept
So,y = -3 (x + 6) when graphed with the given equation, will form a system that has no solution
Answer:
B) y= -3(x+6)
Step-by-step explanation
Please help I’m second guessing this and I know I shouldn’t be but I need need an second opinion. Thanks ps the questions are on the bottom!
Answer:
The kangaroo and Sugar glider
Step-by-step explanation:
They both have 4 x’s (relations) and are found in Australia
The rat snake is least related looking on the chart there’s only one relation between the animal and the others
A cylinder has a base radius of 6 centimeters and a height of 20 centimeters. What is
its volume in cubic centimeters, to the nearest tenths place?
Solution,
Radius(r)=6 cm
Height(h)=20 cm
Volume of cylinder= pi (r)^2 h
=3.14*(6)^2*20
=3.14*36*20
=2260.8 cm^3
Hope it helps
Good luck on your assignment
The required volume of the given cylinder is 2260.8 cubic centimeters.
What is the volume of a cylinder?The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it
V = πr²h
where 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
As per the given question, we have data as:
Radius(r) = 6 cm
Height(h) = 20 cm
Volume of cylinder = πr²h
Volume of cylinder = 3.14 × (6)² × 20
Volume of cylinder = 3.14 × 36 × 20
Volume of cylinder = 2260.8 cm³
Thus, the required volume of the given cylinder is 2260.8 cubic centimeters.
Learn more about the volume of cylinder here :
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A bag contains 21 red marbles, 4 white marbles, and 3 gray marbles. Do you randomly pick out a marble recorded color and put it back in the bag. You repeat this process 84 times. How many white or gray marbles do you expect to get?
Answer:
28
Step-by-step explanation:
you add 21, 4, and 3 to find the total
then you find how many are white or gray
7/28= 1/3
1/3 times 84
84 times 1 divided by 3
84/3
PLEASE HELP ME WITH THIS & IT DUE tomorrow.
ONLY DO 2 AND 3!!!!
PLEASE AND THANK YOU!!!
Answer:
the first one is 2.5, because if you divide the blue in half, you need to divide the yellow in half too
Answer 2:
copy and paste what i write or something:
3+2+1+1= 1 plum purple gallon. So for 3 gallons, you multiply each by 3.
So, Red tint=9
Blue tint=6
Yellow tint=3 and
White tint=3
*ANSWER WITH DETAILS PLS*
Answer:
last one is the answer
(x-a)^2 + (y-b)^2 = r^2
where (a ,b) are the coordinates of the centre and r, the radius
How is the the graph of y=
1
2x - 6
obtained from the graph of y = ?
A)
Vertically stretched by a factor of 2 and shifted right by 3 units.
B)
Vertically stretched by a factor of 3 and shifted right by 2 units.
Horizontally stretched by a factor of 2 and shifted left by 3 units.
D)
Horizontally compressed by a factor of 2 and shifted right by 3 units.
Answer:
did u ever find out the answer ?
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
C = 81.64 cm
Step-by-step explanation:
You are given the circumference formula. Simply plug in your radius and multiply to get your final answer of 81.64 cm.
Answer:
C =81.64 cm
Step-by-step explanation:
The circumference is given by
C = 2 * pi *r
The radius is 13 and pi = 3.14
C = 2 * 3.14 * 13
C =81.64 cm
what is 4x - 13x =18 will mark brainliest
Answer:
X = -2
Step-by-step explanation:
4x - 13x = 18
(4 - 13 = -9)
-9x = 18
Divide both sides by -9
x = -2
Answer:
x=-2
Step-by-step explanation:
They already explained ig ^
Bilal has made a box in the shape of a cuboid with sides 4cm, 5cm and 32cm. He wants to make another different shaped box but with the same volume. This box will have a height of 10cm and a square base. What will be the length on the base?
Answer:
64
Step-by-step explanation:
v=l×b×h
4×5×32
640
v=hb
640=10x
10x=640
x=640/10
x=64
Answer:
4 x 5 x 32 = 640
640/10=64
since length squared = area of square we square root
64 square root is 8
10 x 8 x 8 = 4 x 5 x 32
Hope this helps. Answer is 8
Step-by-step explanation:
I really need this done because it's the end of the year. 15 POINTS! asap please :D
Answer:
im not sure that seams hard but if you take some graph stuff off all of them exept for the biggest one and try to even it out then that should help you out.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
because the it is the highest number on the chart
The base of a prism has an area of 27 square inches and a perimeter of 36 inches. The surface area of this prism is 144 square inches. Which equation below could be used to find h, the height of this prism, in inches?
A 27h = 144
B 36h = 144
C 2(27) + 36h = 144
D 2(36) + 27h = 144
The base of a prism has an area of 27 square inches and a perimeter of 36 inches. The surface area of this prism is 144 square inches. Which equation below could be used to find h, the height of this prism, in inches?
The base of a prism has an area of 27 square inches and a perimeter of 36 inches. The surface area of this prism is 144 square inches. Which equation below could be used to find h, the height of this prism, in inches?
If f(x) = -2x2 + x – 5, what is f(3)?
F(3)=2x2-3-5
= 4-3-5
=1-5
=-4
Translate the sentence into an equation.
Five times the sum of a number and 3 equals 4.
Use the variable y for the unknown number.
Answer:
5*x+3=4
Step-by-step explanation:
-2
The expression can be written as 5x + 3 =4 and the value of y is 0.2.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that five times, the sum of a number and 3 equals 4. the expression can be written as,
5x + 3 = 4
5x = 4 - 3
5x = 1
x = 1 /5 = 0.2
To know more about an expression follow
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Andrea wanted to know how much farther she ran on
Tuesday than on Monday. Her work is below.
What mistake did Andrea make when solving the problem?
A. She did not align the decimal points.
B.She did not rename correctly.
C.She added instead of subtracted.
D.She did not subtract 15 and 6 correctly.
Answer:
A
Step-by-step explanation:
edge 2021
write an equation that can be used to find the value of x.
Answer:
x=29
Step-by-step explanation:
Since you have a 90° angle drawn, all of those angles added together has to equal 90. To solve this you add all of them to get 3x+3=90°. First, subtract the 3 to get the x variable on one side. After this, you get 3x=87. Then, divide by 3 to get x=29. To check this, plug in 29 for x in the equation and add them altogether, it should equal 90° :)
The formula for calculating annual insurance premiums is
A. p = 20
B. p = 2db
C. p = 2d1
D. p = 120
Answer: Letter “B”, aka, “p=2db”.
Step-by-step explanation:
There is no explanation to this!
3. Which of the following
expressions can be
used to find how many
kilograms of sweet
potatoes are needed
for the recipe?
Soup Recipe
DATA
1 onion
2,000 grams sweet potatoes
3 liters water
15 milliliters chicken stock
A 1,000 divided 2,000
B 2,000 divided 1,000
C 2,000 X 1,000
D 2,000 X 100
5) What is the difference between a debit card and a credit card? What are some advantages and disadvantages of using a credit card?
Answer:The difference is that a debit card has a Visa® or Mastercard® logo on its face. When you use a debit card, the money is deducted from your checking account. With a credit card, you're borrowing money to be repaid later. ATM and debit cards allow you to use ATMs, a safe and convenient way to manage your money.
Step-by-step explanation:
Credit is important when wanting to buy a house or a car and much more.
A radio costs $45.00 and is on sale for 30% off. Find the final price of the radio after the discount.
Answer:
The original price is $45
Theres a discount of 30%
30% of 45 is found by multiplying both of the numbers:
30% x 45 = $13.5
The final price after the discount is $13.5
pls hit the thx button and mark me brainliest if this helped :)
Hey!!
Solution,
Marked Price(MP)=$45.00
Discount percent=30%
Now,
Discount amount=Discount % of MP
= 30% of 45
=$13.5
Again,
Sale price(SP)=MP-Discount
= 45-13.5
=$31.5
The final price of the radio after the discount is $ 31.5
Hope it helps
Good luck on your assignment
If $4500 earns $120 simple interest at a flat rate of 2% p.a., calculate the duration of the investment.
Please help me with understanding the steps to getting the answer as well as the solution. Thx
Answer:
1.33 years.
Step-by-step explanation:
[tex]I=PRT[/tex]
[tex]120=4500(0.02)T[/tex]
[tex]120/90=T[/tex]
[tex]T=4/3[/tex]
How much longer does it take a automoblie to travel one mile at 20 miles per hour than at 30 miles per hour? show your work.
a. 1 minute
b. 10 minutes
c. 20 minutes
d. none of these answers.
Answer:
A
Step-by-step explanation:
At the rate of 20 miles per hour, the car will travel 20 miles every 60 minutes, or a third of a mile every minute. This means that it will travel a mile in 3 minutes. For the car travelling at 30 miles per hour, it will travel half a mile every minute, or a mile every 2 minutes. 3-2=1 minute, or choice A. Hope this helps!
What is the value of the expression shown when n = 6?
“8 less than the quotient of 42 and a number”
8 minus StartFraction 42 Over n EndFraction; when n = 6 the expression equals 1
StartFraction 42 Over n EndFraction minus 8; when n = 6 the expression equals –1
42 minus 8 n; when n = 6 the expression equals –6
8 n minus 42; when n = 6 the expression equals 6
Answer:
StartFraction 42 Over n EndFraction minus 8; when n = 6 the expression equals –1
Step-by-step explanation:
Let's put the equation into numbers:
“8 less than the quotient of 42 and a number”
= 42/n - 8
Now, substitute 6 into this expression:
42/6 - 8
= 7 - 8
= -1
Answer:
its b
Step-by-step explanation:
The following blueprint of a kitchen has dimensions of 8 inches by 8 inches. The island has been highlighted in red.
The island's actual dimensions are feet by feet. If the scale of the blueprint is 1 inch = feet, what are the dimensions of the island on the blueprint?
Answer:
so assuming 1 3/4 feet by feet means 1 3/4 feet by 1 foot,
island actual dimentions=1 3/4 feet by 1 foot
scale=1 inch=1 feet
logically, blueprints are smaller so for every real foot, 1 inch is drawn on the scale
so change every foot to inch
so the island on the blueprint=1 3/4 inch by 1 inch
Step-by-step explanation:
this is for 7 not 8 just switch up the numbers
