Answer:
x= 7.5
Step-by-step explanation:
2(x+4)= 23
2x+8= 23
2x=15
x=7.5
Answer:
x = 7.5
Step-by-step explanation:
2x + 8 = 23
2x + 8 - 8 = 23 - 8
2x = 15
2x ÷ 2 = 15 ÷ 2
x = 7.5
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
77 boxes
Step-by-step explanation:
Take the total number of boxes and divide by the number of girls
1000 boxes / 13 girls
76.92307692
Round up
77 boxes
Check
77*13 = 1001 boxes
Answer:
77 boxes
Step-by-step explanation
Hello there! Let's solve this problem together:
First, we will review our numbers.
13 girls have to sell 1,000 boxes.
Now, we will do the math.
We will solve this problem by dividing.
We will keep multiply by one until we reach 1000 or more.
They have to each sell at least 77 boxes.
What is the value of log↓3 81? 2, 3, 4 or 5?
Answer:The value of log base 3 log base 2 log base √3 81 is -a)1 b) 2 c)3 d) 0
Answer:
4
Step-by-step explanation:
Define [tex]\log_a b=c\implies a^c=b[/tex].
Let
[tex]\log_3 81=x[/tex].
Using our definition [tex]\log_a b=c\implies a^c=b[/tex], we have:
[tex]3^x=81[/tex]
Solving for [tex]x[/tex]:
[tex]x=\boxed{4}\text{ from simply knowing that }3^4=81[/tex]
Or
Algebraically solve step-by-step by taking the log of both sides:
[tex]\log 3^x=\log 81[/tex]
Using log property [tex]\log a^b=b\log a[/tex], rewrite:
[tex]x\log 3=\log81[/tex]
Divide both sides by log(3):
[tex]x=\frac{\log 81}{\log 3}=\boxed{4}[/tex]
A car travels at a constant speed of 120km per hour. how many kilometers will the car travel in 6 hours
Answer:
720 km.
Step-by-step explanation:
120 * 6 = 720 km
Answer:
720
Step-by-step explanation:
120km every hour times by 6
Quinton brought 40 cupcakesfo school onhis birthday. He gave a cupcake to eachof the 18 students in Ms. Delmont's class. He also gave a cupcake to eachof the 16 students in Mrs. Donnelly's class. He also gave a cupcake to Ms. Delmont, Mrs. Donnelly, the school nurse, and the schoolprincipal. How many cupcakes did he haveleft over?
Answer:
2
Step-by-step explanation:
18+16+4=36
40-38=2
Answer:
2 cupcakes left
Step-by-step explanation:
40 - (18 + 16 + 1 + 1 + 1 + 1) = 2
How much interest would Mia pay if the simple interest rate were 5%
Answer:
Mia would have a 55$ interest :)
Step-by-step explanation:
What is the difference in unit price between a 5 gallon bucket of paint for $97.45 and a 1 gallon bucket of paint for $21.95?
Answer: $2.46
Step-by-step explanation:
First, let's find the unit price for both buckets!
A 1 gallon bucket of paint is $21.95. But how much will a 1 gallon bucket of paint cost if it had origianlly been 97.45 for 5 gallons of paint?
We need to divide 97.45 by 5, and the answer will be the unit price.
97.45 ÷ 5 = 19.49.
A 1 gallon bucket of paint that was originally priced as $97.45 for 5 gallons of paint si now $19.49 per bucket.
But we're not done! We still need to find the difference in unit prince between a 5 gallon bucket of paint for $97.45 and a 1 gallon bucket of paint for $21.95.
21.95 - 19.49 = 2.46.
Therefore, the difference in unit price between a 5 gallon bucket of paint for $97.45 and a 1 gallon bucket of paint for $21.95 is $2.46.
12 + 2 × 8 ÷ 2 - 3 × 4 = ?
Answer:
el resultado es 8 ese es el resultado
Answer:
8
I used a calculator and got this answer so it should be right.
in 1995,there were 400 cell phone subscribers in the small town of Centerville. the number of subscribers increased by 50% per year after 1995 .
how many cell phone subscribers were in Centerville in 1999 ?
(show work)
Answer:
1200
Step-by-step explanation:
400 + 200y
1999 - 1995
Plug in 4 for y
400 + 200(4)
1200
Get brainiest if right?
The sum of four consecutive numbers is two more than three
times the greatest of these numbers. Find the numbers.
Answer:
1, 2, 3, 4
Step-by-step explanation:
x+(x+1)+(X+2)+(X+3)+2 = 3(X+3)
4X+8=3x+9
x=1
Answer:
5,6,7,8
Step-by-step explanation:
5+6+7+8=26
8*3=24
26-24=2
please help. is due tonight. Thank you
Answer:
I am class 6 sorry can'tAnswer:
Step-by-step explanation:
take 60 degree as reference angle
using tan rule
tan 60=opposite/adjacent
[tex]\sqrt{3[/tex]=x/5
5*[tex]\sqrt{3[/tex] =x
5[tex]\sqrt{3[/tex]=x
what is the slope of the line shown (-4,3) (3,1)
Answer:
-2/7
Step-by-step explanation:
David borrowed $30,000 to start a business. Four years later he repaid $1260 in interest. What was the annual rate? Round to two decimal places.
A taxicab moves five blocks due north, five blocks due east, and another three blocks due north. Assume all blocks are of equal size. How far is the taxi from its starting point
Answer:
9.43
Step-by-step explanation:
Given
See attachment for illustration
Required
Distance AE
The actual path taken by the taxicab are in bold lines.
To calculate the distance AE, we simply consider the triangle AOE where
[tex]AE^2 = OE^2 + AO^2[/tex]
[tex]AE^2 = 5^2 + (5+3)^2[/tex]
[tex]AE^2 = 5^2 + 8^2[/tex]
[tex]AE^2 = 25 + 64[/tex]
[tex]AE^2 = 89[/tex]
Take square roots
[tex]AE = \sqrt{89[/tex]
[tex]AE = 9.43[/tex]
please please please help me find the answerrrrr
Answer:
320.28?
Step-by-step explanation:
A market research analyst claims that 32% of the people who visit the mall actually make a purchase. You think that less than 32% buy something and decide to test this claim of the analyst. You stand buy the exit door of the mall starting at noon and ask 82 people as they are leaving whether they bought anything. You find that actually 20 people made a purchase. 19. State the null and alternative hypotheses to test that less than 32% of mall visitors make a purchase
Answer:
The null hypothesis is [tex]H_0: p \geq 0.32[/tex]
The alternative hypothesis is [tex]H_1: p < 0.32[/tex]
Step-by-step explanation:
State the null and alternative hypotheses to test that less than 32% of mall visitors make a purchase
At the null hypothesis, we test if the proportion is of at least 32%, that is:
[tex]H_0: p \geq 0.32[/tex]
We are testing if less than 32% of visitors make a purchase, so, at the alternative hypothesis, we test if the proportion is less than 32%, that is:
[tex]H_1: p < 0.32[/tex]
The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the diameter is 40mm? Note: The volume of a sphere of radius, r, is given by V = (4/3)pi r^3
Answer:
The volume is increasing at a rate of 25,133 mm/s.
Step-by-step explanation:
Diameter is 40mm
Radius is half the diameter, so [tex]r = \frac{40}{2} = 20[/tex]
How fast is the volume increasing when the diameter is 40mm?
We have to apply implicit differentiation, of V and r in function of t. So
[tex]V = \frac{4}{3} \pi r^3[/tex]
[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]
The radius of a sphere is increasing at a rate of 5 mm/s.
This means that [tex]\frac{dr}{dt} = 5[/tex]
Then
[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]
[tex]\frac{dV}{dt} = 4\pi (20)^2(5)[/tex]
[tex]\frac{dV}{dt} = 25133[/tex]
The volume is increasing at a rate of 25,133 mm/s.
In a lab a substance was cooled b 6 degrees each hour for 42 hours what was the total change it in temperature
9514 1404 393
Answer:
total cooling was 252 degrees
Step-by-step explanation:
quantity = rate × time
The total temperature change is ...
(-6°/h)(42 h) = -252°
The total change in temperature was a cooling of 252 degrees.
Trong mặt phẳngOxy , phép quay mỗi
vector quanh gốc tọa độ một góc α ngược
chiều kim đồng hồ là một ánh xạ tuyến tính
(Hình 1). Hãy tìm ma trận biểu diễn và biểu
thức của phép quay trên.
Áp dụng: Cho tam giác MNP gồm các
đỉnh (1,1) M , (1,2) N , (3,3) P hãy tìm ảnh của
tam giác MNP qua phép quay nói trên, biết
góc quay là / 4 α = π và vẽ hình biểu diễn.
Answer:
Step-by-step explanation:
Hi, I got stucked while solving a differentiation question. Please consider helping me out.
Find the derivative of sin^-1 (yx^2)
If you place a 24-foot ladder against the top of a 20-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
help please
Pythagoras theorem states that for a right angle triangle the measure of the square of the hypotenuse side is equal to the sum of the square of the other two sides.The ladder has to be kept at 13.3( round to the nearest tenth) feet away from the bottom of the wall.
Given information-
The length of the ladder is 24 foot.
The height of the wall is 20 foot.
Suppose the ladder has to kept at x feet away from the bottom of the wall
Here a right angle is formed in which the ladder is hypotenuse side shown in the diagram attached below.
Pythagoras theoremPythagoras theorem states that for a right angle triangle the measure of the square of the hypotenuse side is equal to the sum of the square of the other two sides.
As the ladder has to be kept at x feet away from the bottom of the wall. Thus,
[tex]24^2=20^2+x^2\\ 576=400+x^2[/tex]
Solve for the x,
[tex]x=\sqrt{576-400}\\ x=\sqrt{176}\\ x=13.266[/tex]
hence the ladder ladder has to be kept at 13.3( round to the nearest tenth) feet away from the bottom of the wall.
Learn more about the Pythagoras theorem here;
https://brainly.com/question/343682
Write decimal system equivalent of the binary number 1101
Answer:
answer should be 13
Step-by-step explanation:
look to photo
Given that r= 2p2/q-3 ; rearrange the formula to make q the subject of the formula.
Step-by-step explanation:
The given expression is:
[tex]r=\dfrac{2p^2}{q-3}[/tex]
We need to solve it to make q the subject of the formula.
Cross multiplying both sides,
[tex]rq-3r=2p^2[/tex]
Adding 3r to both sides,
[tex]rq-3r+3r=2p^2+3r\\\\rq=2p^2+3r[/tex]
Now, dividing both sides by r,
[tex]q=\dfrac{2p^2+3r}{r}[/tex]
Hence, this is the required solution.
The function h (x) = four-thirds x minus 1 represents the composite h(x) = f(g(x)). If f(x) = 2x – 1, what is g(x)?
g (x) = two-thirds x
g (x) = two-thirds x minus 1
g (x) = 2 and one-third x
g (x) = 2 and one-third x minus 1
The g(x) is equal to (2/3)x.To find g(x) in the composite function h(x) = f(g(x)), we need to substitute f(x) = 2x - 1 into the equation and solve for g(x
Given that h(x) = (4/3)x - 1 and f(x) = 2x - 1, we can set up the composite unction:
h(x) = f(g(x))
Substituting f(x) into the equation:
(4/3)x - 1 = 2(g(x)) - 1
Simplifying the equation:
(4/3)x - 1 = 2g(x) - 1
We can now solve for g(x):
2g(x) = (4/3)x
Dividing both sides by 2:
g(x) = (2/3)x
For more such questions on function
https://brainly.com/question/11624077
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HELPPP
Write the equation of the graphed function. Give your answer in standard form.
9514 1404 393
Answer:
y = x² +x -6
Step-by-step explanation:
The graph shows the zeros of the function to be -3 and +2. This means the factored form of the function can be written as ...
y = (x -(-3))(x -(+2)) = (x+3)(x-2)
Multiplying this out, we get the desired standard form:
y = x² +x -6
We note that y=-6 when x=0, which matches the y-intercept. Nothing else needs to be done to this equation.
Help me with this math equation please
Answer:
im not exactly sure how to do this one but i think that you can use pythagoras theorem which is a^2 +b^2=c^2. In the question you can use d^2 +e^2= f^2
Question 12 (2 points)
(08.04 MC)
Mia creates a box plot using 28, 34, 40, 24, 44, 49, and 32 as the data. Which of the following box plots shows the data accurately? (2 points)
a
A box plot is drawn with end points at 24 and 49.The box extends from 32 to 48 and a vertical line is drawn inside the box at 38.
b
A box plot is drawn with end points at 24 and 49.The box extends from 26 to 42 and a vertical line is drawn inside the box at 32.
c
A box plot is drawn with end points at 24 and 49.The box extends from 30 to 46 and a vertical line is drawn inside the box at 36.
d
A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Answer:
A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Step-by-step explanation:
Ordering the data given :
24,28,32,34,40,44,49
We can calculate the 5 number summary required to give the appropriate boxplot that can be produced :
Minimum = 24
Maximum = 49
Median = 1/2(n+1)th term
n = 7
Median = 1/2(8) = 4th term
Median = 34
Lower quartile, Q1 = 1/4(n+1)th term
n = 7
1/4(8) = 2nd term
Q1 = 28
Upper quartile : 3/4(n+1)th term
n = 7
Q3 = 3/4(8) = 6th term
Q3= 44
Find the volume of the prism.
5 cm
14 cm
9 cm
3 cm
3
Answer:
34
Step-by-step explanation:
Find x. Round your answer to the nearest integer.
25
х
37°
Answer:
A. 15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 37°
Opposite Leg = x
Hypotenuse = 25
Step 2: Solve for x
Substitute in variables [sine]: sin37° = x/25[Multiplication Property of Equality] Multiply 25 on both sides: 25sin37° = xEvaluate: 15.0454 = xRewrite: x = 15.0454Round: x ≈ 15Melissa got 18 out of 20 on a math quiz. Tom got 85% on the quiz. Whose mark was greater?
Answer:
[tex]tom = \frac{85}{100} \times 20 \\ = 17 \: questions[/tex]
Melissa had a greater mark.
Answer:
Melissa
Step-by-step explanation:
Melissa: 18/20
Tom: 85/100
You need a common denomenater so multiply 18 and 20 by 5:
90/100>85/100
Melissa has the greater mark by 5%
If the price of 12 shirts is rupees 3600 3/5 and of 6 pants is rupees 3000 1/5 . Find the price of 4 shirts and 4 pants
Given:
Price of 12 shirts = Rs. [tex]3600\dfrac{3}{5}[/tex]
Price of 6 pants = Rs. [tex]3000\dfrac{1}{5}[/tex]
To find:
The price of 4 shirts and 4 pants.
Solution:
It is given that,
Price of 12 shirts = Rs. [tex]3600\dfrac{3}{5}[/tex]
Price of 1 shirt = Rs. [tex]\dfrac{1}{12}\times 3600\dfrac{3}{5}[/tex]
Price of 4 shirts = Rs. [tex]\dfrac{4}{12}\times 3600\dfrac{3}{5}[/tex]
= Rs. [tex]\dfrac{1}{3}\times \dfrac{18003}{5}[/tex]
= Rs. [tex]\dfrac{18003}{15}[/tex]
Price of 6 pants = Rs. [tex]3000\dfrac{1}{5}[/tex]
Price of 1 pant = Rs. [tex]\dfrac{1}{6}\times 3000\dfrac{1}{5}[/tex]
Price of 4 pants = Rs. [tex]\dfrac{4}{6}\times 3000\dfrac{1}{5}[/tex]
= Rs. [tex]\dfrac{2}{3}\times \dfrac{15001}{5}[/tex]
= Rs. [tex]\dfrac{30002}{15}[/tex]
Now, the price of 4 shirts and 4 pants is:
[tex]\text{Required price}=\dfrac{18003}{15}+\dfrac{30002}{15}[/tex]
[tex]\text{Required price}=\dfrac{48005}{15}[/tex]
[tex]\text{Required price}=\dfrac{9601}{3}[/tex]
[tex]\text{Required price}=3200\dfrac{1}{3}[/tex]
Therefore, the price of 4 shirts and 4 pants is Rs. [tex]3200\dfrac{1}{3}[/tex].