9514 1404 393
Answer:
2.930
Step-by-step explanation:
The applicable rule of logarithms is ...
log(a^b) = b·log(a)
___
Here, this means ...
[tex]\log_3(25)=\log_3(5^2)=2\cdot\log_3(5)=2\cdot1.465\\\\\boxed{\log_3(25)=2.930}[/tex]
-
A bakery takes three types of bread, with the monthly cost being RM 6850
for 2150 loaves of bread. The cost of baking a loof of butterscotch bread
is km 2 a chocolate bread km 3 and a coconut bread Rm 4. The sale prices
of a loaf of butterscotch bread a chocolate bread and a coconut bread
are km 3 , RM 4.50 and km s. so respectively - It the bakery makes a profit
RM 2975 monthly how many loaves of each type of bread will it bake)
Answer:
The bakery will bake 600 butterscotch bread, 550 chocolate bread, and 1,000 coconut bread
Step-by-step explanation:
In order to answer the word problem question, we list the parameters as follows;
The number of bread types the bakery takes = 3 types of bread
The monthly cost of the bakery for baking the bread, C = RM 6,850
The number of bread loaves baked = 2,150
The cost of baking a loaf of butterscotch bread = Rm 2
The cost of baking a loaf of chocolate bread = Rm 3
The cost of baking a loaf of coconut bread = Rm 4
The sale price of a butterscotch bread = Rm 3
The sale price of a chocolate bread = Rm 4.50
The sale price of a coconut bread = Rm 5
The amount of monthly profit the bakery makes, P = Rm 2,975
Therefore, the total revenue of the company, R = C + P
∴ R = Rm 6,850 + Rm 2,975 = Rm 9,825
Let 'x', 'y', and 'z', represent the number of loaves of butterscotch, chocolate, and coconut bread the company bakes respectively
Then we get;
x + y + z = 2,150...(1)
2·x + 3·y + 4·z = 6,850...(2)
3·x + 4.5·y + 5·z = 9,825...(3)
Multiplying equation (1) by 2 and subtracting from equation (2) gives;
2·x + 3·y + 4·z - 2×(x + y + z) = 6,850 - 2 × 2,150 = 2,550
2·x - 2·x + 3·y - 2·y + 4·z - 2·z = 2,550
∴ y + 2·z = 2,550...(4)
Adding equation (1) to (2) and subtracting from (3) gives;
3·x - 3·x + 4.5·y - 4·y + 5·z - 5·z = 9,825 - (6,850 + 2,150) = 825
1.5·y = 825
y = 825/1.5 = 550
The number of loaves of chocolate bread baked, y = 550
From equation (4), we get;
550 + 2·z = 2,550
2·z = 2,550 - 550 = 2,000
z = 2,000/2 = 1,000
The number of loaves of coconut bread baked, z = 1,000
∴ From equation (1) x = 2,150 - (550 + 1,000) = 600
The number of loaves of butterscotch bread baked, x = 600.
HELP PLEASEfor some reason I am having trouble with this question
Answer:
Step-by-step explanation:
Answer:
10=-2x+20
Step-by-step explanation:
Above line is incorrect. It should be 10=10x+20 . You add +6x to get 10x, not -6x.
then solve
10=10x + 20
-10=10x
-1=x
if you substitute -1 for x in the original problem, it equals:
-2(3(-1)-5)=4(-1+3)+8
-2(-8)=4(2)+8
16=8+8
16=16
find the interest earned:
$11,500 for 3.5 years at 7.25% annual simple interest
Answer:
Future Value, using...
Simple Interest: $
14,418.13
Annually Compounded Interest: $
14,692.25
Step-by-step explanation:
Where is the point X located on the number line shown below?
Answer:
-4.5
Step-by-step explanation:
-6, -5.5, -5, -4.5 (x), -4
Which is an example of a quadratic function whose graph opens downward and has its vertex at (0, 1)?
A. y = −x^2 + 1
B. y = x^2 + x − 1
C. y = x^2 + 4x + 1
D. y = x^2 − 1
Given:
The graph of a quadratic function opens downward and has its vertex at (0, 1).
To find:
The quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where, a is a constant and (h,k) is the vertex.
If a<0, then graph opens downward and if a>0, then graph opens upward.
It is given that the quadratic function opens downward and has its vertex at (0, 1). It means a must be negative.
Putting h=0 and k=1 in (i), we get
[tex]y=a(x-0)^2+1[/tex]
[tex]y=ax^2+1[/tex]
For [tex]a=-1[/tex],
[tex]y=(-1)x^2+1[/tex]
[tex]y=x^2+1[/tex]
So, option A is correct.
In other options the leading coefficient is positive it means their graphs open upward. So, options B, C and D are incorrect.
Therefore, the correct option is A.
I need help pls!!! I have 4 minutes left to answer these
Answer:
its 3/5 so you just add the numerator to the numerator and add the denominator to the denominator.
Answer:
7/6 is the answer
Step-by-step explanation:
=(1/2+2/3)
taking L.C.M
= (3+4)/6
=7/6
Please help me I don’t have much time plsss
Can tell me if it's correct? If it's wrong, can you tell me the correct answer and how to solve it?
Answer:
C is a right triangle
Step-by-step explanation:
To determine if the triangle is right use Pythagoras' identity
A
9.4² = 88.36
6.4² + 7.1² = 91.37
88.36 ≠ 91.37 , thus not a right triangle
B
8.4² = 70.56
5.2² + 6.3² = 66.73
70.56 ≠ 66.73 , thus not a right triangle
C
9.7² = 94.09
6.5² + 7.2² = 94.09
Thus C is a right triangle
D
8.4² = 70.56
5.1² + 7.3² = 79.3
70.56 ≠ 79.3 , thus not a right triangle
Answer:
Answer C is the correct one
Step-by-step explanation:
Remember that the Pythagorean Theorem applies only to right triangles. In Answer A, the legs of the triangle shown are 6.4 and 7.1; we apply the Pythagorean Theorem and check whether the length of the hypotenuse is indeed 9.4:
6.4² + 7.1² = 40.96 + 50.41 = 91.37.
Is √91.37 equal to 9.4? Not quite! For now, reject Answer A.
Answer B: 5.2² + 6.3² yields 66.73. Is this equal to 8.4²? No, it is not.
Reject Answer B.
Answer C: 7.2² + 6.5² = 94.09. Is this equal to 9.7²? YES. So Answer C is the correct one.
a) 3.x + y = 11
a)
2x-y=4
Step-by-step explanation:
3x + y = 11 ...(1)
2x - y = 4 ...(2)
From equation (1) we get,
3x + y = 11
x = 11 - y/3
Now, put the value of x = 11 - y/3 in equation (2) we get,
2x - y = 4
2(11 - y/3) - y = 4
22 - 2y/3 - y = 4
22 - 2y - 3y = 12
22 - 5y = 12
5y = 22- 12
5y = 10
y = 10/5
y = 2
Now, Put the value of y = 2 in equation (1)
3x + y = 11
3x + 2 = 11
3x = 11 - 2
3x = 9
x = 9/3
x = 3
Thus, The value of x is 3 and y is 2
FOR VERIFICATION ONLY:3x + y = 11
3(3) + 2 = 11
9 + 2 = 11
11 = 11
2x - y = 4
2(3) - 2 = 4
6 - 2 = 4
4 = 4
Hence, L.H.S = R.H.S
-TheUnknownScientist
There are 24 cans of soda arranged in 4 rows of 6 cans each. Each can is a
cylinder with a radius of 4 cm and a height of 15 cm. These cans are to be packed
snuggly into a rectangular prism case with no extra space on the top, bottom, or
sides. Determine the volume, in cubic centimeters, of the case (rectangular prism).
Answer:
23,040 cm^3.
Step-by-step explanation:
The case will be 6 * diameter of a can in length,
= 6* 8= 48 cm.
The width will be 4 * 8 = 32 cm.
The height = height of each can
= 15 cm.
So the volume of the case = 15*32*48
= 23,040 cm^3.
what is 2x + 20 + 2x = 60
Answer:
= 1 0
Step-by-step explanation:
Solve
1. Combine like terms
2 + 2 0 + 2 = 6 0
4 + 2 0 = 6 0
2. Subtract 20 from both sides of the equation
4 + 2 0 = 6 0
4 + 2 0 − 2 0 = 6 0 − 2 0
3. Simplify
Subtract the numbers4 + 2 0 − 2 0 = 6 0 − 2 0
4 = 6 0 − 2 0
Subtract the numbers4 = 6 0 − 2 0
4 = 4 0
4. Divide both sides of the equation by the same term
4x = 40
4x/4 = 40/4
5. Simplify
Cancel terms that are in both the numerator and denominator4x/4 = 40/4
x = 40/4
Divide the numbersx = 40/4
x = 10
What is the value of variable for -4(y - 2) = 12
Explain please
Answer:
-4(y - 2) = 12
Standard form:
−4y − 4 = 0
Factorization:
−4(y + 1) = 0
Solutions:
y = −4
4
= −1
Step-by-step explanation:
A plumber charges a flat fee of $74 to visit a home and examine a clogged drain. The plumber charges an additional $28 per hour spent fixing the drain. The
total cost, C (in dollars), for fixing a drain that takes h hours is given by the following.
C = 74+28
Answer the following questions.
(a) If the plumber charged a total of $382, how many hours did she spend fixinal
Answer: A. 74+28(7)=$382
B. 28 hours.
Step-by-step explanation: or b, what you need to do is minus 74 from 382. Then divided by 28.
Answer:
11 hours
Step-by-step explanation:
h = hours
382 = 74 + 28h
subtract 74 from both sides
308 = 28h
h = 11
Check:
382 = 74 +28(11)
382 = 308 + 74
382 = 382
Triangle LMN similar to triangle OPQ find the measure of side PQ round your answer to the nearest 10th if necessary
*see attachement for the triangles given
Answer:
PQ = 6.8
Step-by-step explanation:
Corresponding sides of similar shapes or figures are proportional to each other. Since ∆LMN ~ ∆OPQ, the ratio of their corresponding sides would therefore be equal. Thus:
LN/OQ = MN/PQ
LN = 5
OQ = 17
MN = 2
PQ = ?
Plug in the values
5/17 = 2/PQ
Cross multiply
5*PQ = 2*17
5*PQ = 34
PQ = 34/5
PQ = 6.8
25/2 of 40kg please help
[tex] \bf \huge 500 \: k.g[/tex]
Step-by-step explanation:
Given that:25/2 of 40 k.gTo find:simplify Explanation:⟼ 25/2 of 40 k.g
⟼ [tex]\cancel{25/2}[/tex] × 40 k.g
⟼ 12•5 × 40 k.g
⟼ 500 k.g
∴ 25/2 × 40 k.g = 500 k.g
Hence simplified ☑️Answer:
500kg
Step-by-step explanation:
as we know "OF" in mathematics means to multiply, so you have two ways
FIRST WAY:
Simplify 25/2 x 40so it will be 25 x 20 and answer will be = 500SECOND WAY:
25/2 x 40 = 1000/2 simplify= 500i hope its clear
4, 2, 4, 1, 1, 2, 2, 3, 0, 2, 1, 1, 4, 2, 5, 2, 1, 1, 0, 2, 2 Given the data points above, find the mean
Answer:
The mean of the data points is 2.
Step-by-step explanation:
The mean of data is all data point values added together and divided by the number of data points, or the average of all data points. All the numbers above added together is 42, and there are 21 data points, which means the mean of the data is [tex]\frac{42}{21}[/tex] or 2.
Answer:
2
Step-by-step explanation:
Add all the numbers up then divide by how many number there are to find the mean
4 + 2 + 4 +1+ 1+2+2+3+ 0+ 2+ 1+1+4 +2+5+2+1+1+0+ 2+2 =42
42 divided by 21= 2
Fred wants to put a carpet in this room. The carpet costs $15.00 a square yard, how much would it cost for a 3 ft by 6 feet by 9ft by 12 ft
Solution :
Cost of carpeting per square yard = $ 15.00
For 3 ft by 6 ft
1 yard = 3 feet
∴ 1 feet = [tex]$\frac{1}{3}$[/tex] yard
So,
Therefore, area of 3 ft by 6 ft is = [tex]$3 \times \frac{1}{3} \times 6 \times \frac{1}{3} $[/tex]
= 1 x 2
= 2 square yard
Therefore, cost of carpeting 2 square yard = 2 x 15
= $ 30
For 9 ft by 12 ft
1 yard = 3 feet
∴ 1 feet = [tex]$\frac{1}{3}$[/tex] yard
So,
Therefore, area of 9 ft by 12 ft is = [tex]$9 \times \frac{1}{3} \times 12 \times \frac{1}{3} $[/tex]
= 3 x 4
= 12 square yard
Therefore, cost of carpeting 2 square yard = 12 x 15
= $ 180
Simplify the following expression: 1 2 ( 18 t ) + 2 t ( 9 ) − 12 .
Answer:
Hi! The answer to your question is 234t-12
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Answer:
234t - 12
Step-by-step explanation:
12(18t) + 2t (9) - 12
12× 18t + 2t × 9 - 12
216t + 18t - 12
234t - 12
please help me asap ! in a hurry !
Answer: I’m not sure if I’m correct but I’m pretty sure it’s C
Given
\qquad m \angle ABD = 70^\circm∠ABD=70
∘
m, angle, A, B, D, equals, 70, degrees
\qquad m \angle CBD = 5x + 13^\circm∠CBD=5x+13
∘
m, angle, C, B, D, equals, 5, x, plus, 13, degrees
\qquad m \angle ABC = 3x + 33^\circm∠ABC=3x+33
∘
m, angle, A, B, C, equals, 3, x, plus, 33, degrees
Find m\angle ABCm∠ABCm, angle, A, B, C:
Answer:
42
Step-by-step explanation:
khanacademy
The measure of angle ABC by the given data is 57 degrees.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
∠ABD=70∘
Now,
To find the measure of angle ABC, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We can write an equation using this fact and the given information:
m∠ABD + m∠CBD + m∠ABC = 180 70 + (5x + 13) + (3x + 33) = 180
To solve for x, we need to simplify and isolate it by performing the inverse operations on both sides. We can do this by following these steps:
Step 1: Combine like terms on both sides of the equation.
70 + 5x + 13 + 3x + 33 = 180 8x + 116 = 180
Step 2: Subtract 116 from both sides of the equation.
8x + 116 - 116 = 180 - 116 8x = 64
Step 3: Divide both sides by 8 to get x by itself.
8x / 8 = 64 / 8 x = 8
Now that we have the value of x, we can plug it into the expression for m∠ABC and simplify:
m∠ABC = 3x + 33 m∠ABC
= 3(8) + 33 m∠ABC
= 24 + 33 m∠ABC = 57
Therefore, by algebra the answer will be 57 degrees.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ3
what is (4x^2-9x+1) -(5x^2-x-7) written in standard form?
Answer:
−x²−8x+8
Step-by-step explanation:
Jack's lunch at a restaurant costs $13.00, without tax. He leaves the waiter a 17% tip of the cost of the lunch. What is the tip money Jack should leave?
Answer:
$2.21
Step-by-step explanation:
Given data
Cost = $13.00
Tip= 17%
Let us find the amount of the tip
=17/100*13
=0.17*13
=$2.21
Hence the tip is $2.21
X is less than or equal to 24.
Answer:
yes
Step-by-step explanation:
x isnt a number
Answer:
x is less than and always 24
(15 points!) What is the m
EG is parallel to FH and AD is the transversal.
We know that the interior angles on the same side of the transversal are supplementary.
Angle EBC and Angle FCB are interior angles on the same side of the transversal.
So, Angle EBC + Angle FCB = 180°
=> Angle EBC + 76° = 180°
=> Angle EBC = 180° - 76°
=> Angle EBC = 104°.
Answer — 104°
Below is the graph of the equation y=|x+2|-1. Use this graph to find all values of x such that
y>0
y<0
y=0
Please Help I will award the brainiest
Answer:
y>0, -3>x> -1
y<0, -3<x<-1
y = 0, x = -3 and x = -1
Step-by-step explanation:
Answer:
Agree with the other answer but for RSM users, if y>0, type in: x>-1, x<-3 or the server won’t accept your answer.
Have a good day!
Cash Orcheck had a balance of $867 in his checking account on
January 1. During January, Cash wrote checks for the following
amounts: $98. $456, $29, and $381. What was his balance at the
end of January?
Answer:
Well since he wrote the amount, he’s technically giving cash away so you basically jsut add everything.
98+456+29+381= 964
867-964= -97
His final balance would be -97
Here’s the thing, a checking account acts like a debit card. Its your own cold hard cash. That means you can’t give away more then you have.
So here are the two options
1) At least one or at most 2 checks must’ve bounced
2) He got more money in his checking account
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
A square is drawn on a coordinate plane with two vertices at (0,1) and (4,1)
Answer:
C. (0, -3) and (4, -3)
Step-by-step explanation:
Since (0, 1) and (4, 1) are 4 spaces apart, and the shape to be drawn is a square, each point has to be 4 spaces apart as well.
Hope this helps.
im struggling on this problem i need help if you know (-x+3)-(x-5) PLEASE show THE WORK
Simplify 1/2 (8x + 6) + (3x -2)
Answer:
Simplified
Step-by-step explanation:
1
--------------
19x +10
Answer:
7x+1
Step-by-step explanation:
1/2 (8x+6) + (3x-2)
distribute the 1/2 into (8x+6) --- ( just means to divide by 2)
4x+3 + (3x-2)
then put common terms together
4x + 3x = 7x
+3 -2 = 1
= 7x + 1
Find the measure of missing angles
B is 20 degrees, c is 160 degrees.
A straight line is 180 degrees, but because there are 2 lines, they cut into each-other causing there to be 4 angles, 2 pairs of the same amount, let the known angle be angle A.
Angle A and angle B are the same, Angle A is 20 degrees meaning that angle B is 20 degrees, leaving 160 degrees to be what c equals
Angle B= 20 degrees
Angle C= 160 degrees
