Answer:
write an article for publication in the daily graphic on the topic every school must have a library
Craig bought 8 folders and notebooks for school folders costs 50 cents and notebooks costs a $50 Craig spent a total of $6 how many folders and how many notebooks did he
buy
The number of folders and notebooks in the equation is given by 3 and 5 respectively.
How to find number of folders and notebooks?let
x = number of foldersy = number of notebooksThe equation:
x + y = 8
0.50x + 1.0y = 6
From (1)
x = 8 - y
Substitute x = 8 - y into (2)
0.50(8 - y) + 1.0y = 6
4 - 0.50y + 1.0y = 6
4 + 0.40y = 6
4 - 6 = -0.40y
-2 = - 0.40y
y = -2 / 0.40
y = 5
Recall
x + y = 8
x + 5 = 8
x = 8 - 5
x = 3
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please show the steps
Answer:
x = -3, 0, or 7
Step-by-step explanation:
After removing common factors, the remaining quadratic can be factored by comparison to the factored form of a quadratic.
__
Step 1Write the equation in standard form.
4x³ -16x² -84x = 0
Step 2Factor out the common factor from all terms.
= 4x(x² -4x -21) = 0
Step 3Compare to the factored form of a quadratic:
(x +a)(x +b) = x² +(a+b)x +ab
This tells you the constants 'a' and 'b' in the factors can be found by considering ...
(a+b) = -4 . . . . the coefficient of the x term of the quadratic
ab = -21 . . . . . the constant term of the quadratic
It is often helpful to list factor pairs of the constant:
-21 = (-21)(1) = (-7)(3) . . . . integer pairs that have a negative sum
The sums of these pairs are -20 and -4. We are interested in the latter. We can choose ...
a = -7, b = 3
Step 4Put it all together.
4x³ -16x² -84 = (4x)(x -7)(x +3) = 0 . . . . . factored form of the equation
Step 5Apply the zero product rule. This rule tells you the product of factors will be zero when one or more of the factors is zero:
4x = 0 ⇒ x = 0
x -7 = 0 ⇒ x = 7
x +3 = 0 ⇒ x = -3
Solutions to the equation are x ∈ {-3, 0, 7}.
_____
Additional comment
What we did in Step 3 is sometimes referred to as the X-method of factoring a quadratic. The constant (ab product) is put at the top of the X, and the sum (a+b) is put at the bottom. The sides of the X are filled in with values that match the product and sum: -7 and 3. The method is modified slightly if the coefficient of x² is not 1.
A graphing calculator often provides a quick and easy method of finding the real zeros of a polynomial.
Solve 2(x + 1) = 2x + 2
Translate shapes
Draw the image of AABC under a translation by 2 units down.
y
6
5+
3
2
A
A
-7 -6 4 -3 -2
2
1 2 3 4 5 6 7
-24
-3
Answer:
Just think about it.............. 77 + 33 = 100
Step-by-step explanation:
You add
+
33 +33
51. Jacob has a lemonade stand. On Monday, he sold x cups of
lemonade. On Tuesday, he sold 14 more cups than he sold on Monday.
Choose the expression below that shows how many cups of lemonade
Jacob sold on Tuesday.
a) 14 - x
b) x + 14
c)X - 14
d) x2 + 14
What expression would I use
Answer:
b) x + 14
Step-by-step explanation:
If I sold 14 more cups that what I sold Monday, then my answer should be (what I sold Monday) + (14).
Its like saying suppose I drank x gallons of water today. And next day, I drank 14 more gallons than yesterday. That means, I drank the initial amount of gallons (x) & 14 more gallons today (x+14)
Brad tracks the distance he jogs over 10 days on a line plot. What is the difference between the longest distance he jogged and the shortest distance?
Answer: D
Step-by-step explanation:
6) The combined area of town A and town B is 104,000 square miles. The area of town A is 10,000 square miles more than that of town B. Find the area land of each town.
Step-by-step explanation:
Town B = 47000 square miles
Town A = 57000 square miles
Which line plot displays a data set with an outlier?
Answer: See attached, the top right
Step-by-step explanation:
What is an outlier? An outlier, in a data set, is a data value that is outside the overall pattern of distribution.
This means the answer to your question is the top right because the data value of 13 is outside the overall pattern, hence an outlier.
Answer:
The 2nd one on the top
Step-by-step explanation:
It's that one because it goes from 8 to 13 and that's a big jump causing it to be the outlier.
Which of the following best describes the graph shown below ?
B. This is the graph of a function, but it is not one-to-one
Step-by-step explanation:A function is a type of graph that has a specific relationship between the x and y values.
Vocabulary
First, let's define the words that were used in the answer choices.
Function - A function is a type of relationship where the x-values do not repeat. This means that each x-value has only one specific y-value.One-To-One - A one-to-one function still has no repeating x-values; however, y-values also do not repeat. This means that each y-value has only one x-value and vice versa.Finding a Function
There are different ways to find if a relationship is a function, but with a graph, the easiest way is the vertical line test. The vertical line test is when you draw vertical lines over your graph. If you are able to draw a vertical line everywhere without that line crossing the graph more than once, then the graph is a function.
In this graph, there is no spot in which a vertical line would intersect with the graph more than once. Since it passed the vertical line test, this must mean that x-values never repeat. Thus, this is a function.
Finding a One-To-One Function
Now that we know this is a function, we need to find if this is a one-to-one function. Once again, this can be done multiple ways, but one way is the horizontal line test. This test is similar to the method above; however, horizontal lines are used. In this test, you draw horizontal lines are drawn on the graph. If you can draw a horizontal line at every value without the line intersecting more than once, then it is a one-to-one function.
On this graph, if you were to draw a horizontal line at any of the y-values between 0 and 6, then the line would intersect multiple times. This means that y-values do repeat. Thus, this is not a one-to-one function.
Which three-dimensional figure has nine edges?
rectangular prism
rectangular pyramid
triangular prism
triangular pyramid
Answer:
Triangular PrismStep-by-step explanation:
A geometrical shape that has 6 vertices and 9 edges is a triangular prism. A triangular prism is a three-dimensional object with two congruent...
Answer:
Triangular Prism
Step-by-step explanation:
Edge2022 :)
Penelope has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Penelope randomly removes a chew from the bag, records the result, and returns the chew to the bag. Penelope performs the experiment 33 times. The results are shown below:
A orange chew was selected 13 times.
A apple chew was selected 9 times.
A lime chew was selected 11 times.
Based on these results, express the probability that the next chew Penelope removes from the bag will be apple or lime as a percent to the nearest whole number.
The probability that the next chew Penelope removes from the bag will be apple or lime as a percent is 60.6%.
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.
Here, Number of apple and lime is 9 + 11 =20
Total bag contains = 13 + 9 + 11 = 33
Probability = Number of apple or line / Total
= 20 / 33
= 60.6 %
Thus, The probability that the next chew Penelope removes from the bag will be apple or lime as a percent is 60.6%.
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Rick's savings account has a balance of $5000. If he does not make a
withdrawal or deposit, how much money will be in Rick's account if it pays an
annual interest rate of 6% for 8 years compounded quarterly?
Answer:
$8,051.62
Step-by-step explanation:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $5000r = 6% = 0.06n = 4t = 8Substituting given values into the formula:
[tex]\implies \sf A=5000(1+\frac{0.06}{4})^{4 \times 8}[/tex]
[tex]\implies \sf A=5000(1.015)^{32}[/tex]
[tex]\implies \sf A=8051.62\:(nearest\:hundredth)[/tex]
Rate of interest
0.06/4=0.015So
Compound ineterest formula to be used
A=P(1+r)^tA=5000(1+0.015)⁴×⁸A=5000(1.015)³²A=$8051.6Please solve (15 points)
In Detroit the high temperatures in degrees Fahrenheit for
five days in January were -12°, -8°, -3°, 6°, -15°. What was the
average temperature for these five days?
Answer:
-6.4 degrees.
Step-by-step explanation:
The average temperature
= (-12 -8 -3 + 6 - 15) / 5
= -32/5
= -6.4 degrees.
Selling price of a book at 1300:00 with a profit of 200:00 what's the selling price
Answer:
sp= 1300
p=200
Sol...
1300-200=1100
Please im begging you guys please this page
Step-by-step explanation:
1) 16
2) 96
3) 40
4) 178.48
5) 17.2
6) 95
7) 50%
8) 25%
9) 72.8%
10) 87.5%
11) 20%
12) 21.4%
16
96
40
178.48
17.2
95
50%
25%
72.8%
87.5%
20%
12.5%
$0.28
10
Jeff’s tip is $1.35, Ellen’s tip is $1.36. Ellen’s tip is 1 cent greater
8 acres
jenette ordered a large bucket of popcorn at the movies.the graph shows the amount of popcorn in her bucket over time
Answer:
A
Step-by-step explanation:
Tosha received a 9.5 for vault, a 9.1 for bars, a 9.625 for beam, a 9.25 for her floor exercise at her last gymnastics meet. What was her combined (or total) score?
Answer:
9.500+9.100+9.625+9.250=
18.600+18.875=
37.475
Hope this helps!
i need help with 7th grade math please 45 points need help ASAP + brainleist
Answer:
Area = 601.8760801 ft^2
Step-by-step explanation:
Area of Rectangle: Area = Length* Height
Area of a Semi-Circle = π*r^2 /2
Area of Rectangle: Area = 14 * 21 = 294 ft^2
Area of a Semi-Circle = π * 14^2 / 2 = π * 196/2 = π * 98 ft^2
Add the Two Area: 294 ft^2 + 98π ft^2 = 601.8760801 ft^2
Answer:
77.98 ft
Step-by-step explanation:
Perimeter :
2(21) + 14 + 3.14 x 742 + 14 + 21.9856 + 21.9877.98 ftEdgar accumulated $5000 in credit card debt if the interest rate is 50% per year and he does not have to make any payments for five years how much will he go on his debt in five years by compounding continuously.
Answer:
$ 60 912.46 owed in five years
Step-by-step explanation:
FIFTY percent <====== crazy ! This is .5 in decimal form
FV = Future Value = PV e^(i*t)
PV = present value i = interest in decimal form t = years
5000 e^(.5 * 5 ) = 60912.46
three bells rings at intervals of 30min, 40min and 48min. The bells rang at 1230h.What time, in a. m/p.m, will they ring together next?
Please help me slove this i really need the answer
Please help please .,.,
Answer:
219.8 square cm
Step-by-step explanation:
[tex]s = 2\pi r^{2} +2\pi rh\\s=2(3.14)5^{2} +2(3.14)(5)(2)\\s = 6.28(25)+6.28(10)\\s = 157+62.8\\s=219.8 cm^{2}[/tex]
Write a cosine function that has an amplitude of 4, a midline of 2 and a period of1
Answer:
see below
Step-by-step explanation:
start with cos (x)
amplitude 4
4 cos x
midline 2
4 cos (x ) + 2
period of 1 : 2 pi / 1 = 2 pi
multiply x by 2pi
4 cos ( 2 pi x) + 2
which is greater, 2,670 meters or 2 kilometers? explain.
Answer: 2,670 meters
Step-by-step explanation:
2 kilometers = 2000 meters
2,670 > 2000
The greater value between 2,670 meters or 2 kilometers is 2,670 meters.
What is unit conversion?
It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We are given that;
Two measurements 2,670 meters or 2 kilometers
Now,
To compare 2,670 meters and 2 kilometers, we need to convert them to the same unit of measurement.
There are 1,000 meters in a kilometer. So 2 kilometers is equal to:
2 km * 1,000 m/km = 2,000 meters
Now we can compare 2,670 meters and 2,000 meters. We can see that 2,670 meters is greater than 2,000 meters, because 2,670 is a larger number than 2,000.
Therefore, by conversion the answer will be 2,670 meters is greater than 2 kilometers.
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What is the discriminant of the polynomial below?
4x² + 4x+1
Discriminant means that delta=b^2-4ac
(4)^2-4(4)(1)=0
If the discriminant is equal to 0, the quadratic equation has 1 real solution.
what's the value of X?
Answer:
x=55
Step-by-step explanation:
since it’s a right angle do 90*-35*=55*
Hope this helps! ;-)
x 10xy) + 16x
19 +11z +2 (-2-z)
Answer:
Don't understand retype your question
what two numbers have a sum of 4 and product of 24
Answer:
There isnt a whole number to awser this
Step-by-step explanation:
For any positive numbers a,b, and d, with b = 1, log b _= d•Log ba
Answer:
A^d
Step-by-step explanation: