The number of comic books is an illustration of a linear function
The complete equations are: [tex]\mathbf{8b + 17 =65}[/tex] and [tex]\mathbf{b =6}[/tex]The value of b has increased by 4She had 17 comic books already.
So, we have:
[tex]\mathbf{Base\ Amount = 17}[/tex]
Her order of 65 books contains 8 comic books per collection.
So, we have:
[tex]\mathbf{Rate = 8}[/tex]
[tex]\mathbf{Total = 65}[/tex]
This is represented as:
[tex]\mathbf{Rate \times b + Base\ Amount =Total}[/tex]
So, we have:
[tex]\mathbf{8\times b + 17 =65}[/tex]
Rewrite as:
[tex]\mathbf{8b + 17 =65}[/tex]
Subtract 17 from both sides
[tex]\mathbf{8b =48}[/tex]
Divide both sides by 8
[tex]\mathbf{b =6}[/tex]
Assume she has 97 books in her collection, then the equation would be represented as:
[tex]\mathbf{8b + 17 = 97}[/tex]
Subtract 17 from both sides
[tex]\mathbf{8b = 80}[/tex]
Divide both sides by 8
[tex]\mathbf{b = 10}[/tex]
The values of b are 6 and 10.
The difference between 6 and 10 is 4
Hence, the value of b has increased by 4
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In a school 2/3 of the students study a language
Of those who study a language, 2/5 study french
Find the ratio of students who study French to students who do not study french. Give your answer in it simplest form.
Answer:
4:6
or 4/15 : 2/5
Step-by-step explanation:
48,000 is borrowed for 13 years. if the interest on the loan is 56,703.96, find the monthly payment
Answer:
130542
Step-by-step explanation:
FV=48000(2.7196)
FV=130542
Express 0.12 as a fraction
Answer:
Your answer is 3/25
Step-by-step explanation:
Answer:
The answer is 12/100 or 6/50
What is the slope for this table?
Answer:
-1/2
Step-by-step explanation:
take two points and apply
(8-7)/(0-2)=1/-2=-1/2
What is the missing value?
X
1
2
3
4.
5
у
6
11
16
21
Answer:
25555555557777385381938$88388+2
Find the exact length of EC.
Answer:
[tex]\sqrt{246}[/tex]
Step-by-step explanation:
The scale factor is [tex]\frac{4\sqrt{138} }{\sqrt{138}}[/tex] = 4
If AB = 6[tex]\sqrt{3}[/tex] then AC = 24[tex]\sqrt{3}[/tex] 4 times longer.
Using a² + b² = c² substitute a = 4[tex]\sqrt{138}[/tex], b = 24[tex]\sqrt{3}[/tex], and c = DC = x
[tex](4\sqrt{138})^2 + (24\sqrt{3} )^2= x^2[/tex]
2208 + 1728 = x²
3936 = x²
[tex]\sqrt{3936} = x[/tex]
4[tex]\sqrt{246[/tex] this is the length of DC
Now the length of EC is 4 times shorter, so EC = [tex]\sqrt{246}[/tex]
I didn't get them all right. Can someone help please?
Answer:
[tex]\sqrt{2.56}[/tex]
[tex]6.828...[/tex]
[tex]1.75[/tex]
[tex]14/3[/tex]
[tex]-40[/tex]
Step-by-step explanation:
A rational number is any number that can be expressed as a ratio.
Help I am in 4 grade number 5
You're almost there. Write the numbers 0, 1, 2, 3, and 4. Since the mixed number is 3 4/5, we know that the point will be somewhere in between 3 and 4 on the number line. To figure out how many ticks/lines to draw in between each number, look at the fraction attached to the mixed number. Remember, a fraction is a part of a whole. We want to know the total number of parts that are in the whole- so we are looking at the denominator, 5. So there are 5 ticks/lines. The numerator represents the number of parts we need to count: 4. This places the point 4 ticks/lines after the "3." The number line should look like this:
the graph of equation y-1=-2(x-2) contains which sets of ordered pairs
Answer:
(2, 1)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y - 1 = - 2(x - 2) ← is in point- slope form
with (a, b ) = (2, 1 )
Are the ratios 1:2 and 14:26 equivalent
1:2 and 14:26 are not equivalent!
What portion of the population are eligible voters and over the age of 24? one-fourth one-third one-half two-thirds.
The portion of a population is simply a fraction of the population.
The required parameters are missing.
So, I will solve this question using the following parameters
Population = 600Eligible voters over the age of 24 = 400So, the portion of the population that are eligible voters over the age of 24 is calculated by dividing the number of eligible voters over the age of 24 by the overall population.
So, we have:
[tex]\mathbf{Portion= \frac{400}{600}}[/tex]
Simplify the fraction
[tex]\mathbf{Portion= \frac{2}{3}}[/tex]
2/3 means two-third
Hence, the portion of the population that are eligible voters over the age of 24 is two-thirds
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Answer: Option D, “two-thirds”
Step-by-step explanation:
edge 2022
Katrina is solving the equation -2(x+3)= 4(2x+3)-(x+4). Which equivalent equations might Katrina use? Check all that apply. Ox-2x-6=8x+12-x-4 O x-2x+6= 8x+ 12- X+4 Ox-2x-6-8x+12-X+4 O x-2x+3 = 8x+3 - X+4 0-x-6-7x+8 O-x+6=7x+16 0-x-6-7x+16 O-X+3 = 7x+7
Step-by-step explanation:
-2x-6=8x+ 12-x-4
x-2x-6=8x+12-4
-2x - 6 = 7x + 8 or -9x - 6 = 8 are the equivalent equation.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
To solve the equation -2(x+3)= 4(2x+3)-(x+4), Katrina can use equivalent equations obtained by simplifying each side of the equation using the distributive property, combining like terms, and solving for x.
One possible equivalent equation is:
[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4 \\-2x - 6 = 7x + 8[/tex]
Another possible equivalent equation is:
[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4\\ -2x - 6 = 7x + 8\\-9x - 6 = 8\\-9x = 14 \\x = -14/9\\[/tex]
Therefore, the equivalent equations that Katrina can use to solve the original equation are:
-2x - 6 = 7x + 8 or -9x - 6 = 8
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Write the equation of the line that passes through the points (-8,3) and (0,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
[tex]y = \frac{1}{8} x + 2[/tex]
(8)
slope?
y-intercept?
(9)
slope?
y-intercept?
In \triangle HIJ,△HIJ, \overline{HI}\cong \overline{JH} HI ≅ JH and \text{m}\angle J = 13^{\circ}.m∠J=13 ∘ . Find \text{m}\angle I.m∠I.
Answer:
13
Step-by-step explanation:
two angles are congrunet
The measurement of angle I in the given triangle HIJ is 83.5°.
Given is a triangle HIJ, where HI ≅ JH, and m ∠J = 13°, we need to find m ∠I.
Since HI ≅ JH (given) and ∠J = 13° (given), then ∠HJI ≅ ∠HIJ (by the isosceles triangle property).
In an isosceles triangle, the angles opposite the congruent sides are also congruent. Therefore, ∠HJI = ∠HIJ.
Now, let's denote ∠I as x (which is what we're trying to find). Since ∠HJI = ∠HIJ, we can set up an equation:
x + 13° + x = 180° (sum of angles in a triangle)
Solving for x:
2x + 13° = 180°
2x = 180° - 13°
2x = 167°
x = 167° / 2
x = 83.5°
So, m ∠I is 83.5°.
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Complete question is given below:
In △HIJ, HI ≅ JH and m∠J = 13°. Find m ∠I.
can you plz help me....
Answer:
what is that ............
Apple pie is my favorite. I bake a lot of it, last year I got a little carried away and had 7 1/4 pies left over. I cut the pie into pieces to freeze and save for later. Each piece as 1/8 of a whole pie. How many pieces of pie did I freeze?
Answer:
58
Step-by-step explanation:
You would have to turn 7 1/4 into a whole fraction.
Do,
7 * 4 = 28
28 + 1 = 29
Your new fraction would be,
29/4
Now you have to make them equal denominators as 1/8.
Lets see,
Now multiply 4 * 2 is 8.
So multiply 29 times 2.
Which is 58.
Your new fraction is,
58/8
So therefore you would have 58 pieces.
Help please this is for a exam i give brainliest to!
Which expression results in a sum or difference of 4 9/36?
A: 8 2/3 - 4 5/12
B: 2 3/12 + 2 1/3
C: 6 5/9 - 2 1/4
D: 3 1/4 + 1 4/9
NO LINKS!!!
Answer:
The Answer is A. :)
Step-by-step explanation:
pls help asap! i will
mark you brainliest!
Answer:
m∠ABC = 40°
Step-by-step explanation:
(4x - 4)° = 2(x + 9)°
4x - 2x = 18 + 4
2x = 22
x = 11
m∠ABC = (4(11) - 4)° = 40°
a shop produces 39 salt lamps in 2 weeks. how many salt lamps will they produce in 22 weeks?
Answer:
You will sell 429 salt lamps in 22 weeks.
Step-by-step explanation:
Pls help I will put brainlist if u help me told nd thank u
Answer:
17+7=24
Step-by-step explanation:
I hope this help you
Answer
10
Step-by-step explanation:
Subtract 7 from both sides of the equation.
n=17−7
Subtract 7 from 17.
n=10
BRAINLIEST?
a rule in a relation in which each input is paired with, or assigned to, exactly one output.
Answer:
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Step-by-step explanation:
13. Find the distance between (-9, -1) and (-2,-6). Round to the nearest tenth.
A) 8.6
B) 12.1
C) 9.9
D) 13.0
Answer:
(A) 8.6
Step-by-step explanation:
distance =√((x_2-x_1)²+(y_2-y_1)²)
the actual distance is 8.602325.
rounded distance is 8.6
Ms. Miller decides gives a test worth 120 points and contains 36 questions. Multiple-choice questions are worth 3 points and open-response questions are worth 5 points. How many of each type of question are there?
What is a Jump Discontinuity?
brainliest is on the line and up for grabs
Answer:
Jump discontinuity is when the two-sided limit doesn't exist because the one-sided limits aren't equal. Asymptotic/infinite discontinuity is when the two-sided limit doesn't exist because it's unbounded. Image result for What is a Jump Discontinuity?Jump Discontinuity is a classification of discontinuities in which the function jumps, or steps, from one point to another along the curve of the function, often splitting the curve into two separate sections. While continuous functions are often used within mathematics, not al functions are continuousStep-by-step explanation:
hope this helps
can i have brainliest please
The number 20,2Δ8 is a 5-digit number with the tens digit covered by a triangle. Given that the number is divisible by 7, what is its tens digit? I GIVE BRAINLIEST!
Answer:
20258. The missing digit is a 5
Step-by-step explanation:
Ok, let's write the number in a more creative way. That's [tex]21 000 - 700 = 20 300[/tex], minus something else. That something else has to be a multiple of 7, be less than 100, and has to end with a 2. Now start writing down the multiplication table for 7 and find how many of them ends with 2. 42 comes to mind, and that's the only one. (you can go up to 7x14=98 before having one digit too many).
That brings your number to be written as [tex]21000-700 -42 = 20258.[/tex]
In theory there was a criteria to see if a number was divisible by 7, but I've never learned it.
I agree with the other person. The answer is 5.
Here's how we can check to see if a number is divisible by 7.
Step 1) Remove the units digit to form a truncated (aka shrunken) number.Step 2) Double the digit we removed.Step 3) Subtract that result from the truncated number.If the result of the third step is a multiple of 7, then so is the original value itself. We can repeat the steps to progressively shrink the values down so we have something more manageable.
---------------
Let's use those steps to see if 20,258 is a multiple of 7
Step 1) Remove the '8' from 20258 to to get 2025Step 2) Double the 8 to get 16Step 3) Subtract 16 from 2025 to get 2025 - 16 = 2009It's not clear if 2009 is a multiple of 7 or not; however, we can apply the same three steps to shrink the number down. This process can be repeated as many times as you like.
Step 1) Remove the 9 from 2009 to get 200Step 2) Double the 9 to get 18Step 3) Subtract to get 200-18 = 182Like before, the result 182 is fairly big and it's not clear if we have a multiple of 7. Luckily, we only need to do one more round of those steps.
Step 1) Remove the 2 from 182 to get 18Step 2) Double that value we removed to get 4Step 3) Subtract to get 18-4 = 14The result 14 is a multiple of 7, which means that 182 is also multiple of 7. By a domino-like chain reaction, the values 2009 and 20258 are also multiples of 7.
Notes:
182 = 26*72009 = 287*720258 = 2894*7---------------
We've just verified that 20258 is a multiple of 7. Let's go over an example a non-multiple of 7. I'll add 1 to the number 20258 so we are guaranteed that it cannot possibly be a multiple of 7. Doing the round of steps as shown above should get us to some smaller non-multiple of 7.
Step 1) Remove the 9 from 20259 to get 2025Step 2) Double the 9 to get 18Step 3) Subtract: 2025 - 18 = 2007Repeat the steps until we get something more manageable
Step 1) Remove the 7 from 2007 to get 200Step 2) Double the removed digit: 7*2 = 14Step 3) Subtract: 200-14 = 186Let's do one more round
Step 1) Remove the 6 from 186 to get 18Step 2) Double the digit removed: 2*6 = 12Step 3) Subtract: 18-12 = 6The value 6 is not a multiple of 7, and neither are 186 and 2007 and 20259.
If you have your calculator with you, then you should see that dividing any of those values over 7 will not lead to a whole number result.
186/7=26.57 2007/7=286.71 20259/7=2894.14This is a fairly quick and efficient way to check divisibility by 7 if you are in a hurry.
Find the measure of each angle indicated.
Answer:
alot of 5
Step-by-step explanation:
please help me with this math question
Answer:
Step-by-step explanation:
Add 633 to the reading before the trip.
New reading in the odometer = 14,917 + 633 = 15,550 miles
The formula d=rt gives the distance traveled in time t at rate r. A delivery truck drives for 1.5 hours and travels 76 miles.
What is the average speed of the truck?
A. 38 miles per hour
B. 50.7 miles per hour
C. 74.5 miles per hour
D. 114 per hour.
Please help fast, this test is already late and I'm super stuck. Thanks!
Answer:
50.7 miles per hour
Step-by-step explanation:
I ve seen this question before
X+y=2 x-y=4 solve using elimination
(3, -1) Looking at the two equations I see that you have a+ y in equation one and − y in equation two. By adding the two equations together I will eliminate the y variable and then you can solve for x.