Answer:
x = 2.4
Step-by-step explanation:
16^(4x - 3) = 8 ^ (2x + 4)
16 = 2^4
8 = 2^3
2 ^ 4*(4x - 3) = 2^3(2x + 4)
Since the bases are the same, you can equate the powers
4(4x - 3) + 3*(2x + 4) Remove the brackets.
16x - 12 = 6x + 12 Subtract 6x from both sides
16x - 6x - 12 = 12 Combine the terms on the left
10x - 12 = 12 Add 12 to both sides
10x = 24 Divide by 10
x = 2.4
work out 140-3^2×(8+4)+6÷2
Answer:
140 - 9 (12) + 3
140 - 108 +3
140 - 111
= 29
can anyone answer this with expanation?
18. ∆PQR =~ ∆RPA ( by SAS )
19. ∆DQR =~ ∆PQR ( by AAS )
20. ∆ARO =~ ∆PQO ( by AAS )
Help please no wrong answer
can you help me please
Answer:
zero slope
Step-by-step explanation:
its not goin up or down so there is no slope:)
also look below :)
Mary made $216 for 12 hours of work. At the same rate, how many hours would she have to work to make $162?
Answer:
2754
Step-by-step explanation:
Answer:
9 Hours
Step-by-step explanation:
162 X 12 / 216 = 9 Hours
-1/5÷2/0 plzz i need this
[tex]-\frac{1}{5}[/tex] ÷ 20 = - 100
or -0.01
there are two answers you can come up with choose wisely
If the edge of a square measures 3x, which expression represents the perimeter?
A) 12x B) 3x + 4 C) 6x D) 6x2
Answer:
A
Step-by-step explanation:
3x × 4 =12x
Mark me brainliest pls
and thank me
Answer:
I think it is A
Step-by-step explanation:
Hope this helped have an amazing day!
Which point of concurrency is always on the vertex of a right triangle
Answer:For every right triangle, the circumcenter is always the midpoint of the hypotenuse. All four points of concurrency can themselves be concurrent! Only with an equilateral triangle will the centroid, circumcenter, incenter and orthocenter always be the same point!
Step-by-step explanation:
In a collection of coins there are twice as many nickels as dimes and seven less quarters then dimes. Find the number of each coin if the collection is worth $16.25
Answer:
15 nickels, 6 quarters, and 12 dimes.
Step-by-step explanation: i hoped it helped ;)
What is the value of x in the equation x -3/4 = 5 1/6
Step-by-step explanation:
x-3/4=5 1/6
(4x-3)/4=31/6
(4x-3)/2=31/3
12x-9=62
12x=71
X=71/12
15 m/s in km/h plz help
Answer:
54 km/h
Step-by-step explanation:
Step one:
given data
We are required to perform unit from m/s km/h
from 15m/s to km/h
Step two:
1 meter= 1/1000 km,
1 seconds= 1/3600 hour
1m/s = 1/1000/1/3600= km/h= 3600/1000= 36/10= 18/5 km/h
so of 1m/s is equivalent to 18/5 km/h
then 15m/s is equivalent to x
cross multiply
x= 15*18/5
x= 3*18
x=54 km/h
PLEASE ANSWER ASAP
Which statement is correct about triangle I and triangle 2?
The triangles are similar because corresponding sides are congruent.
The triangles are not similar because corresponding sides have different lengths.
The triangles are similar because corresponding angles are congruent.
The triangles are not similar because corresponding angles have different angle measures.
Answer:
Two triangles are similar if they meet one of the following criteria. : Two pairs of corresponding angles are equal. : Three pairs of corresponding sides are proportional. : Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.
3x+-6+2 > = 5x -8......can someone please solve this
Answer:
x ≤ 2
Step-by-step explanation:
If you referencing ">=" as greater than or equal to, follow the solution below:
Solve:
3x - 6 + 2 ≥ 5x - 8
Combine like terms.
3x - 4 ≥ 5x - 8
Subtract 5x from both sides.
-2x - 4 ≥ -8
Add 4 to both sides.
-2x ≥ -4
Divide both sides by -2, while flipping the inequality as well since you're dividing by a negative number.
x ≤ 2
Your answer would be x ≤ 2
There are five members in a family and the average mass is 42.5 kg. What is the total mass? Please help me.
Answer:
the total mass is 212.5 kg
Step-by-step explanation:
The computation of the total mass is as follows;
Given that
Number of family members = 5
And, the average mass is 42.5 kg
Now based on the above information
The total mass is
= Number of family members × average mass
= 5 × 42.5 kg
= 212.5 kg
Hence, the total mass is 212.5 kg
If 3 sandwiches cost $12.70, how much will 13 sandwiches cost?
Answer - $55.03 .
12.70 divided by 3 = 4.23 x 13 = 55.03 .
there are Thirty coins and they are all dimes and nickels, and they are worth $2.60. How many nickles and dimes are there
Answer:
22 dimes, 8 Nickels
Step-by-step explanation:
What is the highest common factor of 4xy ,12x2y
Answer:
Step-by-step explanation:
12x^2y / 4xy = 3x
So 4xy is the highest common factor.
Answer:
4x2y
Step-by-step explanation:
4xy = 4x4y
12x ÷ 4 = 3x
2y ÷ 2 = 1y
Hope this helps !
Merry Christmas
Mark uses 10 cups of apple juice and 16 cups of orange juice to make fruit punch. Deon uses an equivalent ratio of apple juice to orange juice when he makes fruit punch. Which ratio of apple juice to orange juice could Deon use?
Given that,
No of cups of Apple juice = 10
No of cups of Orange juice = 16
Solution,
The ratio of Apple juice to the Orange juice will be :
[tex]R=\dfrac{10}{16}[/tex] ....(1)
For equivalent fraction, multiply both numerator and denominator by 2 such that,
[tex]R=\dfrac{10\times 2}{16\times 2}\\\\=\dfrac{20}{32}[/tex]
Dividing both numerator and denominator 2 such that,
[tex]R=\dfrac{10/2}{16/2}\\\\=\dfrac{5}{8}[/tex]
So, the required ratio is 5/8.
Which of the following are solutions to the equation below?
Check all that apply.
X2 + 10x+ 25 = 8
X^2+10x+25 =8
Answer shown in figures below
Alandra's rectangular cake pan is 33cm by 23 cm. She has enough cake batter to fill it to a depth of 3 cm. Instead, Alandra wants to pour the batter into ice cream cones. She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm. How many whole cones can Alandra fill?
Answer:
Alandra can fill 60 whole cones
Step-by-step explanation:
The volume of a rectangular prism is V = L × W × H, where
L is its lengthW is its widthH is its heightThe volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where
r is the radius of its baseh is its height∵ Alandra's rectangular cake pan is 33 cm by 23 cm
∴ L = 33 cm and W = 23 cm
∵ She has enough cake batter to fill it to a depth of 3 cm.
∴ H = 3 cm
→ Find the volume of the batter using the 1st rule above
∵ V = 33 × 23 × 3
∴ V = 2277 cm³
∵ Alandra wants to pour the batter into ice cream cones
∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm
∴ h = 9 cm
∵ r = [tex]\frac{1}{2}[/tex] diameter = [tex]\frac{1}{2}[/tex] (4)
∴ r = 2 cm
→ Substitute them in the 2nd rule above to find the volume of each cone
∵ V = [tex]\frac{1}{3}[/tex] (π) (2)² (9)
∴ V = 12π cm³
→ To find the number of cones divide the volume of the batter by
the volume of each cone
∵ Number of cones = 2277 ÷ 12π
∴ Number of cones = 60.3993
→ We will take the whole number only because we need the whole cones
∴ Alandra can fill 60 whole cones
In the expression 50+4x the number (4) in front of the variable (x) represents the rate of change true or false
Solve: 3 – 8x = -13 Please help
Answer:
x=2
Step-by-step explanation:
What is the y-intercept of the functiion f(x)=-2/9x+1/3 O-2/9 O-1/3 O1/3 O2/9
Please see the image attached for the solution.
Prove that 3+2 root 3 is irrational
Answer:
Hi friend,
Let 3+2√3 is a rational number.
A rational number can be written in the form of p/q.
3+2√3=p/q
√3=p/2q-3
√3=p-6q/2q
p,q are integers then (p-6q)/2q is a rational number.
But this contradicts the fact that √3 is an irrational number.
So,our statement supposed is false.
Therefore,3+2√3 is an irrational number.
Step-by-step explanation:
Answer:
in the explanation
Step-by-step explanation:
The sqrt of 3 is irrational. Any rational number multiplied or divided with an irrational number is also irrational (2 root 3). It's the same for addition and subtraction, any rational number added or subtracted from an irrational number is also irrational (2 + root 2).
Hope this helps!
Find the value of k, if x + 3 is a factor of 3x² + kx + 6. *
Given:
Polynomial = P(x) = 3x² + kx + 6
Factor of the ablove polynomial = (x+3)
To Find:
Value of K, for which (x+3) become the factor of P(x) = 3x² + kx + 6
Solution :
Now,
x + 3 = 0
⇒x = (-3)
So,
As (x+3) is a factor so x = (-3) is one root of the polynomial.
Therefore,
P(-3) = 0
→ P(-3) = 3(-3)² + k(-3) + 6 = 0
→ 3(9) - 3k + 6 = 0
→ 27 - 3k + 6 = 0
→ 27 + 6 - 3k = 0
→ 33 - 3k = 0
→ - 3k = -33
→ k = -33 ÷ -3
→ k = 11
Hence,For the value of k = 11, (x+3) is a factor of 3x²+ kx + 6V E R I F I C A T I O N :3x²+ kx + 6, by putting the value of k = 11 and taking -3 as root the remainder should be zero
→ 3x²+ 11x + 6
→ 3(-3)² + 11(-3) + 6
→ 3(9) - 33 + 6
→ 27 - 33 + 6
→ 27 + 6 - 33
→ 33 - 33
→ 0
Hence verified !
Distance 22
= 11
Time
2
(Simplify your answer.)
miles
hour
Find the unit rate (constant of proportionality) for Bobby.
Use (2, 1) and (4.) to find the constant of proportionality.
Enter your answer in the edit fields and then click Check Answer
It is 2 by 20 and 4 by 40
Answer:
Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour. Now let's say you rode your bike at a rate of 10 miles per hour for 4 hours.
One way to show that two triangles are similar is to show that ______.
Answer:
they have two congruent angles or AA
Step-by-step explanation:
Answer:
they have two congruent angles or AA
Step-by-step explanation:
HURRYYY i neeeeeddd helppppppppp look at the photo ^^^
Jenny will choose between two restaurants to purchase pizzas for her party. The first restaurant charges a delivery fee of $6 for the entire purchase and 12 per pizza. The second restaurant has no delivery fee and charges 14 per pizza.
Answer:
The second one
Step-by-step explanation:
The second one because if you compare 12+6=18 to 14 the better buy is the second one because 14 is less than 18
The formula for the circumference of a circle is c=2pir where r is the radius and c is the circumference. The equation r is r=c/2pi
Answer:
r = 8
Step-by-step explanation:
The circumference of a circle is given by :
[tex]C=2\pi r[/tex] ...(1)
We need to find the value of r when C = 16π
Solving equation (1)
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{16\pi}{2\pi}\\\\r=8[/tex]
So, the value of r is 8. Hence, the correct option is (b).