Answer:
subtract 8 from both sides
Step-by-step explanation:
write an equivalent logarithmic equation for e^x=24
Answer:
x=ln 24
Step-by-step explanation:
e^x=24
If we take the ln of both sides
ln e ^x= ln 24
x=ln 24
If Andrea traveled 300 miles in 5 hours at what rate was she driving?
Answer:
60
Step-by-step explanation:
[tex]\frac{300}{5}[/tex]
60
Hence, 60 is the answer
Answer:
60 mph
Step-by-step explanation:
For this problem, we are looking at the rate, miles per hour. We know that Andrea traveled 300 miles in 5 hours, but how many miles did she travel in one hour? Let's do the math:
[tex]300[/tex]÷[tex]5=60[/tex] miles.
So, in one hours, Andrea travels 60 miles. We get the rate, 60mph.
Andrea was driving at 60 mph.
I hope this helps! Please let me know if you have any questions :)
If A and B are (-2,-2) and (2,-4). Find the coordinates P such that AP=3/7 AB and P lies on the line segment ab
Answer:
The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].
Step-by-step explanation:
Point P:
The coordinates of point P are (x,y).
AP=3/7 AB
So
[tex]P - A = \frac{3}{7}(B-A)[/tex]
We apply this both for coordinate x and coordinate y.
Coordinate x:
[tex]x - (-2) = \frac{3}{7}(2 - (-2))[/tex]
[tex]x + 2 = \frac{12}{7}[/tex]
[tex]x = \frac{12}{7} - 2 = \frac{12}{7} - \frac{14}{7} = -\frac{2}{7}[/tex]
Coordinate y:
[tex]y - (-2) = \frac{3}{7}(-4 - (-2))[/tex]
[tex]y + 2 = -\frac{6}{7}[/tex]
[tex]y = -\frac{6}{7} - 2 = -\frac{6}{7} - \frac{14}{7} = -\frac{20}{7}[/tex]
The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].
Use and method to find the total number of outcomes in each situation.
choosing one math class from Algebra and Geometry and one foreign language
class from French, Spanish, or Latin
===========================================================
Explanation:
Think of a table that has 2 rows and 3 columns.
Each row represents a different math class (either Algebra or Geometry).
Each column represents a different foreign language class (French, Spanish or Latin).
This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.
In short, all we have to do is multiply the number of classes for each subject.
Answer:
Explanation:
Think of a table that has 2 rows and 3 columns.
Each row represents a different math class (either Algebra or Geometry).
Each column represents a different foreign language class (French, Spanish or Latin).
This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.
In short, all we have to do is multiply the number of classes for each subject.
Step-by-step explanation:
the expanded form of 6,398 is
Answer:
The expanded form of 6,398 is 6000 + 300 + 90 + 8
Giving brainly help find Find m∠H.
The required measure of the angle m∠H is given as 94°.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
For trapezoid, the sum of the adjacent angle is 180°
m∠H + m∠G = 180
5x + 26 + 8x - 2 = 180
x = 12
Now,
m∠H = 8x - 2
= 8 (12) - 2
= 94°
Thus, the required measure of the angle m∠H is given as 94°.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ2
Help me I don't know any
Answer:
25%
Step-by-step explanation:
(a)
We need to express in percent 8 as a percent of 32.
We have,
Numerator = 8
Denominator = 32
Percent,
[tex]P=\dfrac{8}{32}\times 100\\\\=25\%[/tex]
Hence, the required percentage is 25%.
Please help thanks! Brainliest
[tex]5[/tex] ✅
Step-by-step explanation:
[tex]14 + {6}^{2} \div ( - 4) \\ \\ \: = 14 + \frac{6 \times 6}{ - 4} \\ \\ \: = 14 - \frac{36}{4} \: \\ \\ = 14 - 9 \\\\ \: = 5[/tex]
Note:-
[tex]\sf\purple{BODMAS\: rule.}[/tex]
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Answer:
12.5
Step-by-step explanation:
14+6²÷(-4)
=14+6×6÷(-4)
=14+36÷(-4)
=50÷-4
=12.5
a 25% tip was payed on a 30$ meal what is the amount of the tip
Answer:
$7.50
Step-by-step explanation:
30 x 0.25= 7.50
Need some assistance please
Answer:I hope this could help !ut the answer is 4
Step-by-step explanation:
2 of them left so there are 4 left
Bab need someone who can do quick mafs please!
Answer:
18.9 km²
Step-by-step explanation:
Formula for area of a triangle: [tex]\frac{1}{2}bh[/tex]
0.5(7 × 5.4) = 18.9 km²
Answer:
A = 1/2 bh
1/2 x 7 x 5.4
= 18.9km2
20 divided by 34 HEEEEELPPPPPPPPPPP
Answer:
0.58823529411
Answer:0.8
Step-by-step explanation:
Tres hermanas deciden comenzar una cadena, donando cada una a tres personas $5.000 en un mismo día; con la condición que a quienes ellas ayuden también deberán hacer lo mismo con tres personas al día siguiente. ¿Al cabo de una semana cuántas personas han participado en la cadena? ¿Finalizado el quinto día cuánto dinero se ha donado?
Answer:
Al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.
Step-by-step explanation:
Dado que tres hermanas deciden comenzar una cadena, donando cada una a tres personas $5.000 en un mismo día; con la condición que a quienes ellas ayuden también deberán hacer lo mismo con tres personas al día siguiente, para determinar, al cabo de una semana, cuántas personas han participado en la cadena, y finalizado el quinto día cuánto dinero se ha donado, se deben realizar los siguientes cálculos:
3^7 = X
2,187 = X
(3^5) x 5000 = X
243 x 5000 = X
1,215,000 = X
Por lo tanto, al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.
Find the circumference
Answer:
75.36 mi
Step-by-step explanation:
Given :-
Radius = 12 mi .We know :-
→ Circumference = 2 π r
→ C = 2 * 3.14 * 12 mi
→ C = 75.36 mi
Answer:
Step-by-step explanation:
circumference of a circle=2πr
=2*3.14*12
=24*3.14
=75.36 mi
I I don’t understand this could someone try it’s geometry
Answer:
1)BX = 20
2)MT = 23.3
3)QD = 14.4
4)SN = 23.5
5)XZ = 36
6)DF = 24
7)BD = 43.8
8)HZ = 12
9)UW = 40
10)CS = 11.6
Step-by-step explanation:
1) BX = 1/2(VX) = 40/2 = 20
2)MT = 1/2(RT) = 46.6/2 = 23.3
3) QD = BQ = 14.4
4)LS + SN = 23.5
5)XH = 1/2(XZ) = 18 * 2 = 36
6)DG = 1/2(DF) = 12 * 2 = 24
7)BJ = 1/2(BD) = 21.9 * 2 = 43.8
8)XH = HZ = 12
9)UW = 2(UJ) = 20 * 2 = 40
10) CS = 1/2(US) = 23.2/2 = 11.6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Solve the system by graphing y=-2x + 2
y=-2x - 2
Answer:
hope it helps...
have a great day!!
Please help asap thanks
help me pls ill give brainliest and no links pls:)!<3
As both the angles are linear, their sum is equal to 180°
i.e m<EFG+m<GFH = 180
=>( 2n+17 )+(4n+37) = 180
=> 6n + 54 = 180
=> 6n = 180-54
=>6n =126
=> n= 21
m<EFG = 2(21)+17 = 59°
m<GFH =4(21)+37 =121°
Given: ∠EFG and ∠GFH are a linear pair
We know that: Sum of the angles which make a linear pair should be equal to 180°
⇒ ∠EFG + ∠GFH = 180°
Given :
∠EFG = 2n + 17
∠GFH = 4n + 37
⇒ 2n + 17 + 4n + 37 = 180°
⇒ 6n + 54 = 180°
⇒ 6n = 180 - 54
⇒ 6n = 126
⇒ n = 21°
Substituting the value of n in ∠EFG and ∠GFH, We get:
⇒ ∠EFG = 2(21) + 17 = (42 + 17) = 59°
⇒ ∠GFH = 4(21) + 37 = (84 + 37) = 121°
CAN SOMEONE PLEASE HELP ME FAST?
Answer:
whats the question
Step-by-step explanation:
Use the diagram to find cos x as a fraction
in simplest form.
[tex] {10}^x = 5[/tex]
What is x?
×= 5/log 10 ^10
x= In 5
x=log 10^5
x=1/2
Answer:
below
Step-by-step explanation:
10ˣ = 5
applying log to both sides
xlog 10 = log5
x = 0•699
Traci spent hour eating breakfast and
į hour helping clean up after breakfast.
How much time did she spend in all?
Give your answer in simplest form.
hour
Enter
Plz help
Find the distance between the two points in simplest radical form.
(7,-1) and (9,-9)
Answer:
[tex]\sqrt{68}[/tex]
Step-by-step explanation:
(7 , -1) = (x1 , y1)
(9 , -9) = (x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(9 - 7)^2 + (-9 - (-1))^2}[/tex]
=[tex]\sqrt{2^2 + (-9 + 1)^2}[/tex]
=[tex]\sqrt{4 + (-8)^2}[/tex]
=[tex]\sqrt{4 + 64}[/tex]
=[tex]\sqrt{68}[/tex]
Answer:
[tex]Distance = \sqrt{ 68 } \\\\or \\\\Distance =2 \sqrt{17}[/tex]
Step-by-step explanation:
[tex]Let \ (x_1 , y_1) = ( 7 , - 1 ) \ and \ (x_2, y _ 2 ) = ( 9 , - 9 )\\\\\\Distance = \sqrt{(x_2 - x_ 1)^2 + (y_ 2 - y_ 1)^2}\\\\[/tex]
[tex]= \sqrt{(9 - 7)^2 + ( -9 --1)^2} \\\\=\sqrt{2^2 + ( -9 + 1)^2 }\\\\=\sqrt {4 + (-8)^2 }\\\\=\sqrt{ 4 + 64 }\\\\=\sqrt{68}\\\\= \sqrt { 4 \times 17}\\\\=\sqrt{2^2 \times 17}\\\\=2 \sqrt{17}[/tex]
Which is the graph of f(x) = 4[1/2]x ?
Step-by-step explanation:
answer is in picture see
hope it helpful
Cary sets up a checking account with an initial balance of $27,700, and the rent for her
apartment is deducted every month for a year. After a year the balance is $7900
(Assume no other transactions occur on the account)
Answer:
$1,650
Step-by-step explanation:
First, we need to find how much she paid the whole year. 27,700-x=7900. If we subtract 7900 from each side and add x to each side, we get 19,800=x. Therefore, she paid $19,800 in rent the whole year. Since there are 12 months in a year, and each month she paid the same, she paid $1,650 in rent each year, for 19800/12=1650
What is the volume of the prism?
Answer:
[tex]volume \: of \: the \: prism = 4 \frac{1}{2} \times 2 \ \frac{1}{2} \times 6 \\ = \frac{9}{2} \times \frac{5}{2} \times 6 \\ = 67.5 {cm}^{3} [/tex]
Andres went out to a restaurant for dinner. His total bill before tax and tip was $27.30. He was charged an additional 9% tax and he also paid a 15% tip on the original bill.
Answer:
$25.66
Step-by-step explanation:
Given data
Total Bill before tax and tip= $27.30
Tax= 9%
Tip= 15%
Let us find the tax
=9/100*27.30
=0.09*27.30
=$2.457
Let us find the tip
=15/100*27.30
=0.15*27.30
=$4.095
Therefore his bill after tax and tip is
=27.30+2.457-4.095
=$25.66
The answer to this maths question
Given:
Toilet rolls com in packs of 4 and 9.
4-pack is priced at £2.04.
9-pack is priced at £4.68.
To find:
The pack that has better value by calculating the price per roll.
Solution:
We have, the 4-pack is priced at £2.04.
So, the price per roll for this pack is:
[tex]\dfrac{2.04}{4}=0.51[/tex]
In the pack of 4 rolls the price per roll is £0.51.
It is given that, the 9-pack is priced at £4.68.
So, the price per roll for this pack is:
[tex]\dfrac{4.68}{9}=0.52[/tex]
In the pack of 9 rolls the price per roll is £0.52.
Since the price per roll in the pack of 4 rolls is less that the price per roll in the pack of 9 rolls because 0.51 < 0.52, therefore the pack of 4 rolls has better value.
Maggie started collecting teacups on her 13th birthday when she was given 4 teacups. She has purchased a new teacup every month since then. How many teacups will she
have on her 17th birthday?
A.52
B.64
C.38
D.48
Answer:
A. 52
Step-by-step explanation:
Find how many months are in 4 years, since there are 4 years between her 13th and 17th birthdays.
There are 12 months in a year, so multiply 12 by 4:
12(4)
= 48
So, there are 48 months in 4 years. Since she buys a new teacup every month, this means she will have bought 48 more teacups.
Add this to the 4 teacups she got on her 13th birthday:
48 + 4
= 52
So, on her 17th birthday, she will have A. 52 teacups
Can you please help and I will mark brainliest if its correct
Step-by-step explanation:
diamonds and hearts are red cards
spades and clubs are black cards
15+11=26
26/52 is the probability of selecting a black card, 50%