Answer:
After 2 nights they would have read the same amount of pages. That is 29 pages.
Step-by-step explanation:
1. 6x+17=13+8x Put the problem in to a equation
2. 6x+17=13+8x Subtract 8x from both sides
-8x -8x
3. -2x+17=13 Subtract 17 from both sides
-17 -17
4. -2x=-4 Divide by -2
-2 -2
5. x=2 x=2
13/10 of a number is what percentage of that number?
[tex]\dfrac{13}{10}=\dfrac{13}{10}\cdot100\%=13\cdot10\%=130\%\\\\\dfrac{13}{10}\ \text{of a number is}\ 130\%\ \text{of a number}.[/tex]
Answer:
130%
Step-by-step explanation:
marco wants to invest his savings in a bank for 3 years. he has £15000 to invest and recieves offers from two banks: bank of peace= 2.5% a year compound interest or bank of trust= 3.8% for 1st year 1% extra for each extra year. which bank should marco choose to get the most interest over the three year period? you must show all your working
Bank of Peace= 15000(1+0.025)³=£16153.36
Bank of Trust=15000(1+0.038)=£15570
£15570(1+0.01)=£15882.95
Bank of Peace is the best choice.
I would choose the Bank of Peace to get the most of my savings.
Formula for calculating the compound value of the savings at the Bank of Peace = FV = P (1 + r)^n
FV = Future value
P = amount deposited
R = interest rate
N = number of years
£15,000 x (1.025)^3 = £16,153.36
Interest earned at the Bank of Trust in the first year = £15,000 x 0.038 = $570
Total amount at the end of the first year = $570 + £15,000 = £15,570.
Value for the two extra years = $15,570 x (1.01)^2 =$15,882.96
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(-2ab+a-2)-(2ab+3) find the difference
I can't chose between A or D can someone help me out?
You want to determine your speed running across the room. What is one piece of data you need?
A) The distance you run
B) When you start your stopwatch
C) How big each step is
D) How fast you are moving
I know its not C)
Answer:
D) How fast you are moving
Step-by-step explanation:
Well, if you're talking about speed, then we don't want distance yet, do we? If you were talking about how far someone ran, then distance would be a piece of data. But speed is "how fast", so something tells me the answer is D.
Bye! Hope this helped. :)
The lines below are perpendicular. If the slope of the green line is -3 what is the slope of the red line?
Answer:
1/3
Step-by-step explanation:
Given that two lines are perpendicular.
Slope of green line (one of the lines) is -3.
To find the slope of other perpendicular line red.
We know that angle between two lines with slopes m1 and m2 would be
[tex]tan^{-1} \frac{m1-m2}{1+m1m2}[/tex]
where m1 is the slope of I line and m2 slope of second line.
Here since two lines are perpendicular angle between them is 90 degrees and hence we get infinity as tan x
this implies denominator for [tex] \frac{m1-m2}{1+m1m2}[/tex]=0
i.e. 1+m1m2 = 0
Or m1m2 =-1
Since one of slope m1 = -3 we have
-3m2= (-1) or m2 = 1/3
Answer:
-3
Step-by-step explanation:
Apex~
Given the coordinates of the vertices of a quadrilateral, determine whether it is a square, a rectangle, or a parallelogram. Then find the area of the quadrilateral. A(2, -3), B(7, -3), C(9, 2), D(4, 2)
Answer: Parallelogram, Area = 25 units²
Step-by-step explanation:
Step 1: Find the lengths of all of the sides (use Pythagorean Theorem, distance formula, or count the spaces on the graph)
Step 2: Find the slopes of each line
Step 3: Evaluate the slopes to see if any are parallel (same slope) or perpendicular (opposite reciprocal slopes)
see attachment
What is the unit rate for $12.50 for 5 ounces?
Answer:
The correct answer is $2,50.
Step-by-step explanation:
The unit rate is what we use to determine the price of a single unit, when something is sold in a group, as in this case 5 ounces.
We have been told that $ 12.50 is the price for 5 ounces, but what we want to know is how much 1 ounce costs.
To determine this, what we must do is divide the total price by the quantity of ounces, in order to determine the unit price:
12.50 / 5 = 2.50
In this way we can verify that the unit price of 5 ounces is $ 2.50
The correct answer is $2,50, is the unit rate for $12.50 for 5 ounces.
Here, we have,
The unit rate is what we use to determine the price of a single unit, when something is sold in a group, as in this case 5 ounces.
We have been told that $ 12.50 is the price for 5 ounces, but what we want to know is how much 1 ounce costs.
To determine this, what we must do is divide the total price by the quantity of ounces, in order to determine the unit price:
12.50 / 5 = 2.50
In this way we can verify that the unit price of 5 ounces is $ 2.50.
Hence, The correct answer is $2,50, is the unit rate for $12.50 for 5 ounces.
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Which part of the proof does the fourth statement and reason represent?
Given: AB ≅ BC
BC ≅ EF
Prove: EG = AB + FG
It is part of the given information.
It is part of the argument.
It is the conclusion.
It is an assumption.
Answer:
Option B is correct.
Reason:It is an argument
Step-by-step explanation:
Given: [tex]AB \cong BC[/tex] and [tex]BC \cong EF[/tex]
By transitive property: a = b and b = c then, a =c
⇒[tex]AB \cong EF[/tex]
AB = EF [def of [tex]\cong[/tex] segment]
By Segment Addition Postulate states that given two points A and C, and a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation
AB + BC = AC.
Since, the line segment EG , F lies on the line segment;
then, by segment addition postulates we have;
EG = EF + FG
By substitution AB=EF
⇒ EG = AB + FG hence proved!
Since, in the fourth statement reason is: It is an argument
Answer:
b
Step-by-step explanation:
please answer this properly and correctly
Find the value of the factorial
8! =
(Type a whole number)
The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 equals 40,320.
Explanation:In Mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For instance, 8! means multiplying together 8, 7, 6, 5, 4, 3, 2 and 1. So, the calculation would look like this: 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320. Therefore, the value of 8! is 40,320.
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Pink is shoe is 20.4 cm long Rajesh shoe is 7 mm longer than pinky shoe how long is Rajesh shoe in cm
To find the length of Rajesh's shoe, convert the additional length from millimeters to centimeters and add it to Pinky's shoe length. Rajesh's shoe is 21.1 cm long.
Explanation:The subject of this question is Mathematics and it is suitable for a Middle School student. To find the length of Rajesh's shoe, we need to add the length of Pinky's shoe to the additional length that Rajesh's shoe has. Pinky's shoe is 20.4 cm long, and Rajesh's shoe is 7 mm longer.
Firstly, we need to convert millimeters to centimeters since 1 cm equals 10 mm. Therefore, 7 mm is equivalent to 0.7 cm (since 7 divided by 10 equals 0.7).
Next, we add this length to Pinky's shoe length:
20.4 cm (Pinky's shoe length)+ 0.7 cm (additional length)Rajesh's shoe length equals 21.1 cm.
there are a total of 124 students in the band and there are 12 more boys than girls the band. write a system of linear equations that represents this situation. how many boys and how many girls are in the band
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The number of boys is 68
The number of girls is 56
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 4 is an equation
2x + 4y = 6 is an equation.
We have,
Total number of students = 124
Number of boys = x + 12
Number of girls = x
Now,
x + 12 + x = 124
2x + 12 = 124
Subtract 12 on both sides
2x = 124 - 12
2x = 112
Divide 2 on both sides.
x = 56
The number of boys.
= x + 12
= 56 + 12
= 68
The number of girls.
= 56
Thus,
The number of boys is 68
The number of girls is 56
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Use a number line to find the absolute value of -3 and 3
Answer:
3
Step-by-step explanation:
If you look at this number line, all you have to do is count how many times it takes to get from -3 to 3. And you get 3.
what is this in vertex form
Answer:
(x + 1)² + 4
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a (x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
to obtain this form use the method of completing the square
• add/subtract (half the coefficient of the x-term)² to x² + 2x
= x² + 2(1)x + 1 - 1 + 5
= (x + 1)² + 4 ← the second option
V/-6 +2=-1
what does v equal
PLZZ HELP ASAP NEEDING HELP
Answer:
-2 PLEASE GIVE BRAINLIEST
Step-by-step explanation:
Maria's Team
6 points for guessing correctly 6 times
subtract 8 points for skipping.
6 - 8= -2
Answer:
-2
Step-by-step explanation:
If a pizza is cut into six equal pieces. And then it’s cut in half to create two smaller equal pieces. What fraction of the total pizza does one of the smaller pieces represent?
Answer:
1/12
Step-by-step explanation:
Since the pizza was cut into 6, each of the slices = 1/6.
But because the pizza was then cut into half, it makes each slice = 1/12
6 x 2 = 12
Therefore the answer is 1/12.
The temperature at a mountain base camp was −5 degrees Celsius on Wednesday. Thursday morning, the temperature was 2 degrees Celsius lower than what it was on Wednesday. By Thursday evening, the temperature was 1 degree Celsius lower than what it was that morning. What was the temperature at the base camp Thursday evening? A] −9 degrees Celsius B] −8 degrees Celsius C] −7 degrees Celsius D] −6 degrees Celsius
Answer:
B -8
Step-by-step explanation:
you start with -5 add -2 to make -7
add -1 to -7 to get -8 and that is your answer
please mark me brainliest
The temperature at the mountain base camp dropped from -5 degrees Celsius on Wednesday to -7 degrees Celsius Thursday morning, and finally to -8 degrees Celsius on Thursday evening.
Explanation:To solve this, we first have to know the temperature on Wednesday, which is −5 degrees Celsius. On Thursday morning, the temperature was 2 degrees Celsius lower than Wednesday, so we subtract 2 from -5 which gives us -7 degrees Celsius. By Thursday evening, the temperature had dropped another 1 degree Celsius, so we subtract 1 from -7, resulting in a base camp temperature of -8 degrees Celsius.
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if y varies inversely as x and y=16 when x=4, find y when x=3
Answer:
21.33 to nearest hundredth
Step-by-step explanation:
Inverse Variation is y = k / x where k is a constant.
Plug in the given values to find k:-
16 = k/4
k = 4*16 = 64 so the equation of variation is y = 64/x.
So when x = 3, y = 64/3 = = 21.33 to nearest hundredth.
The value of y when x = 3 is 21.33
The value of y = 21.33
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A
The value of x = 4
The value of y = 16
Now , the value of y is inversely proportional to x
So ,
y ∝ 1/x
y = k/x
where k is the constant of proportionality
So , k = yx
Now , substituting the value of x and y in the equation , we get
k = 16 x 4
k = 64
So , when the value of x = 3 ,
y = k / x
y = 64 / 3
y = 21.33
Hence , The value of y when x = 3 is 21.33
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graph the solution to the inequality 2x-3y<18
<, > - dotted line
≤, ≥ - solid line
[tex]2x-3y<18\qquad\text{subtract 2x from both sides}\\\\-3y<-2x+18\qquad\text{change the signs}\\\\3y>2x-18\qquad\text{divide both sides by 3}\\\\y>\dfrac{2}{3}x-6\\\\y=\dfrac{2}{3}x-6-\text{It's a linear function}\\\\for\ x=0\to y=\dfrac{2}{3}(0)-6=0-6=-6\to(0;\ -6)\\\\for\ x=6\to y=\dfrac{2}{3}(6)-6=2(2)-6=4-6=-2\to(6;\ -2)[/tex]
which is better buy store a $12 for 3 pies or store b $10 for 2 pies
Answer:
Store A is the better buy
Step-by-step explanation:
Lets find out how much it will cost for a pie at each store
Store A
$12 /3 pies = $4 per pie
Store B
$10/2 pies = $ 5 per pie
Can someone help me. I really need this answer.
Answer:
The letter "n" can be considered a term, a variable, and an expression. It cannot be considered a "constant", therefore the answer is "a constant".
Please help me on this!!
PLEASE HELP VERY URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Q1. Look at the picture.
[tex]C.\\y=-\dfrac{1}{3}x+3\\\\y=2x-4[/tex]
Q2. Look at the picture.
[tex]A.\ 4-t[/tex]
Q3.
Put the value of x = 2 to the equation 3x + y = 5:
[tex]3(2)+y=5[/tex]
[tex]6+y=5[/tex] subtract 6 from both sides
[tex]y=-1\\\\F.\ -1[/tex]
Q4.
[tex]\left\{\begin{array}{ccc}n=3m-11&(*)\\2m+3n=0&(**)\end{array}\right[/tex]
Substitute (*) to (**):
[tex]2m+3(3m-11)=0[/tex] use distributive property
[tex]2m+(3)(3m)+(3)(-11)=0[/tex]
[tex]2m+9m-33=0[/tex] add 33 to both sides
[tex]11m=33[/tex] divide both sides by 11
[tex]m=3[/tex]
Put the value of m to (*):
[tex]n=3(3)-11\\\\n=9-11\\\\n=-2[/tex]
[tex]C. (3,\ -2)[/tex]
Q5.
w - width
3w - length
24 in - the sum of length and width
The equation:
[tex]w+3w=24[/tex]
[tex]4w=24[/tex] divide both sides by 4
[tex]w=6\ in[/tex]
[tex]3w=3(6)=18\ in[/tex]
[tex]J.\ 18\ inches[/tex]
Answer:
j. 18 inches
Step-by-step explanation:
Catalina uses a 3 1/2 ounce packet of seasoning for her steaks. The packet contains of 1 1/3 ounces of garlic powder and 1 1/4 ounces of onion powder. The remainder of the packet consists of black pepper. How many ounces of black pepper are in the packet of seasoning?
Answer:
11/12
Step-by-step explanation:you have to turn all the mixed numbers into improper fraction so 1 1/3 is 16/12 1 1/4 is 15/12 and if you add them you get 2 7/12 and that minus 3 6/12 is 11/12
There are 11/12 ounces of black pepper in Catalina's seasoning packet.
Catalina uses a 3 1/2 ounce packet of seasoning for her steaks.
This packet contains 1 1/3 ounces of garlic powder and 1 1/4 ounces of onion powder.
To find out how many ounces of black pepper are in the packet, we need to subtract the combined weight of the garlic and onion powders from the total weight of the seasoning packet.
Garlic powder: 1 1/3 ounces = 4/3 ounces
Onion powder: 1 1/4 ounces = 5/4 ounces
Total seasoning packet: 3 1/2 ounces = 7/2 ounces
We then add the amounts of garlic and onion powders to get their combined weight:
4/3 + 5/4 = (16 + 15) / 12 = 31/12 ounces
The next step is to subtract the combined weight of the garlic and onion powder from the total weight of the seasoning packet:
7/2 ounces - 31/12 ounces = (7\*6 - 31) / 12 = (42 - 31) / 12 = 11/12 ounces.
how to find the exact value of z
Answer:
Step-by-step explanation:
I think that the answer is x-6
2m^2+2m-12=0 in vertex form
Answer:
y = 2(m + 1/2)^ -25/2
Step-by-step explanation:
vertex form is:
y = 2m^2 + 2m - 12
y + 12 + ( )___ =( ) 2m^2 + 2m + ___
Because a is not one, you must divide the entire right side by the a value, which is 2. Then place the 2 in the parenthesis.
y + 12 + (2)__ = (2) m^2 + m + __
Take half of b, b being one.
Half of be is 1/2. Now square it to get 1/4. Place that value in the blanks.
y + 12 + (2)1/4 = (2) m^2 + m + 1/4
Now simplify the left side and factor the right side.
y+ 12 + 1/2 = 2(m + 1/2)^2
y + 25/2 = 2(m + 1/2)^2
Subtract 25/2 from both sides.
y = 2(m + 1/2)^ -25/2
Ole answer and show work ♥️
Answer:
a=54
Step-by-step explanation:
first multiply by -16 on both sides and you will get a+26=80 then subtract 26 on bothsides then you will get a=54 and 54 is your answer
The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisions organized by age groups.
Baseball League (B) Softball League (S) Ages 7 – 9 (X) 3 7 Ages 10 – 12 (Y) 2 2 Ages 13 – 15 (Z) 1 1 If the winner is in Baseball League, find the probability that the winning team is in either the Ages 10 - 12 division or the Ages 13 - 15 division. Answer in terms of a reduced fraction.
A. P(Y | B) = a0 a1
B. P(Z | B) = a2 a3
C. P(Y or Z |B) = a4 a5
Answer:
Step-by-step explanation:
heyq
The correct answer is:
7/10
Explanation:
Finding the totals of each column and row, we find:
There are 3+2+1 = 6 children in the baseball league.
There are 7+2+1 = 10 children in the softball league.
There are 3+7 = 10 children in the 7-9 division.
There are 2+2 = 4 children in the 10-12 division.
There are 1+1 = 2 children in the 13-15 division.
There are a total of 10+6 = 16 children.
We start with the information that the team is a member of the softball league. There are 10 children in this league; this is the denominator of the probability.
There are 7 children in the 7-9 division that are in the softball league. This gives us the probability 7/10.
please you are a student study well especially graph is easy thing to do.
Answer:
A. 2/5 or 40%
B. 1/5 or 20%
C. 3/5 or 60%
Given: KLMN is a trapezoid, m∠N=m∠KML, FD=8, LM KN = 3/5 F∈ KL , D∈ MN , ME ⊥ KN KF=FL, MD=DN, ME=3root5 Find: KM
Answer:
The length of KM is [tex]\sqrt{109}[/tex] units.
Step-by-step explanation:
Given the statement: KLMN is a trapezoid, ∠N= ∠KML, FD=8, [tex]\frac{LM}{KN}=\frac{3}{5}[/tex], F∈ KL, D∈ MN , ME ⊥ KN KF=FL, MD=DN, [tex]ME=3\sqrt{5}[/tex].
From the given information it is noticed that the point F and D are midpoints of KL and MN respectively.
The height of the trapezoid is [tex]3\sqrt{5}[/tex].
Midsegment is a line segment which connects the midpoints of not parallel sides. The length of midsegment of average of parallel lines.
Since [tex]\frac{LM}{KN}=\frac{3}{5}[/tex], therefore LM is 3x and KN is 5x.
[tex]\frac{3x+5x}{2}=8[/tex]
[tex]\frac{8x}{2}=8[/tex]
[tex]x=2[/tex]
Therefore the length of LM is 6 and length of KN is 10.
Draw perpendicular on KN form L and M.
[tex]KN=KA+AE+EN[/tex]
[tex]10=6+2(EN)[/tex] (KA=EN, isosceles trapezoid) [tex]EN=2[/tex]
[tex]KE=KN-EN=10-2=8[/tex]
Therefore the length of KE is 8.
Use Pythagoras theorem is triangle EKM.
[tex]Hypotenuse^2=base^2+perpendicular^2[/tex]
[tex](KM)^2=(KE)^2+(ME)^2[/tex]
[tex](KM)^2=(8)^2+(3\sqrt{5})^2[/tex]
[tex]KM^2=64+9(5)[/tex]
[tex]KM=\sqrt{109}[/tex]
Therefore the length of KM is [tex]\sqrt{109}[/tex] units.