x-3 + 2 < 10
x - 1 < 10 .... combine like terms
x-1+1 < 10+1 ... add 1 to both sides
x < 11 is the answer
If you need to graph it, then place an open circle at 11 on the number line. Shade to the left.
if x - 3 + 2 is less than 10 then you would solve this question like this,
x - 3 + 2 < 10
x -(3+3) + 2 < 10 + 3
x + 2 < 13
x +(2-2) < 13 - 2
x < 11
Another model rocket is accelerating at a rate of 3m/s squared with aforce of 1N. What is the mass of the rocket? plssssss hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! like right now plss
ty
Answer:
0.33333333333e3
Step-by-step explanation:
e = infinity
Find the area of the circle. Round your answer to the nearest hundredth. The area is about square inches.
Answer:
I believe it is 201.06 square inches
Answer:
201.06
Step-by-step explanation:
The area of a circle is pi * r^2. So, 3.14 * 8^2. So, it would be 201.06 (rounded). Hope this helps!
Solve the equation
n2 = 37
Answer:
18.5
Step-by-step explanation:
first do the opposite of multiplication which id division,so u would do 37/2=18.5, so n=18.5
Ecologists measure the body length and wingspan of 127 butterfly specimens caught in a single field.
The wingspan of 127 butterfly specimens is an illustration of the line of best fit
The equation of the line of best fit is y = 3xThe slope means that as the wingspans increase and lengths of these butterflies increaseHow to determine the equation of the line?From the line of best fit of the graph (see attachment), we have the following points
(x,y) = (0,0) and (20,60)
Since the line passes through the origin, the equation of the line would be:
[tex]y = \frac{y_1}{x_1} * x[/tex]
So, we have:
[tex]y = \frac{60}{20} * x[/tex]
[tex]y = 3x[/tex]
Hence, the equation of the line of best fit is y = 3x
Interpret the slopeIn (a), we have the slope to be:
Slope = 3
The slope (3) is greater than 0.
This means that as the wingspans increase and lengths of these butterflies increase
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The diameter of a circle is 12 centimeters. What is the circle's circumference?
Use 3.14 for .
Answer:
37.68 centimeters
Step-by-step explanation:
The circumference of a circle can be found by using the formula πd, where d = diameter. We're given the diameter as 12 centimeters, and we're going to use 3.14 for pi.
3.14 × 1237.68Therefore, the answer is 37.68 cm.
Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)
1) Explain what opposite reciprocals means. Then explain how it is important/relevant in geometry.
Answer:
Step-by-step explanation:
a
Opposite means add a negative sign in front of it.
The opposite of 6 is -6,
7 --> -7,
-10 --> 10.
Reciprocal means flip it.
Reciprocal of 6 is 1/6
of 7 is 1/7
of -10 is -1/10
Opposite reciprocal means add a negative sign AND flip it.
6 --> -1/6
7 ---> -1/7
-10 --> 1/10
In geometry, perpendicular lines on a graph have opposite reciprocal slopes.
Dernea gardening sells wheelbarrows. a wheelbarrow costs $6.94 to produce and it sells for $42.50. the company employs two salespeople, each of whom earns a different commission per wheelbarrow sold, as shown in the table below. a 3-column table with 2 rows. column 1 is labeled salesperson with entries travis, gary. column 2 is labeled sold with entries 36, 48. column 3 is labeled commission/sale with entries 7 dollars and 50 cents, 10 dollars and 60 cents. the company's expenses last month, not counting production costs or commissions, totaled $524.24. how much profit did dernea gardening make from the sales of wheelbarrows last month? a. $3,570 b. $1,886 c. $1,684 d. $2,208
The profit did Dernea gardening make from the sales of wheelbarrows last month is $1684.
What is profit?Profit is the the difference of the selling price of an item and the cost of the item to produce and sell it.
Dernea gardening sells wheelbarrows.
The company employs two salespeople, each of whom earns a different commission per wheelbarrow sold, as shown in the table below.
A 3-column table with 2 rows. column 1 is labeled
Salesperson Sold Commission/SaleTravis, 36 $7.50Gary. 48 $10.60The Travis sold by company is 36 with commotion $7.50 and the Gray sold by company is 48 with commotion $10.60. Thus, the total profit of the company is,
[tex]P=36\times7.50+48\times10.60\\P=778.8[/tex]
The company's expenses last month, not counting production costs or commissions, totaled $524.24.
A wheelbarrow costs $6.94 to produce. Thus, the cost price to produce 84 (36+48) wheelbarrow is,
[tex]C=6.94\times84=582.96[/tex]
Total cost of company to sell a wheelbarrow are,
[tex]C=778.8+524.24+582.96=1886[/tex]
Wheelbarrow sells for $42.50. Thus, the selling price of 84 (36+48) wheelbarrow is,
[tex]C_s=42.50\times84\\C_s=3570[/tex]
Hence, the profit will be,
[tex]P=3570-1886\\P=1684[/tex]
Thus, the profit did Dernea gardening make from the sales of wheelbarrows last month is $1684.
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Answer:
c. $1,684
Step-by-step explanation:
The volume of this triangular prism is 32 cubic inches. What is the value of d?
Answer:
Divide the volume by the length of the prism to get the area of the face:
468/13 = 36 square yards.
The area of the face ( triangle) is 1/2 x base x height
Replace with what you have:
36 = 1/2 x 9 x g
Multiply both sides by 2 to remove the 1/2:
72 = 9 x g
Divide both sides by 9 to find g:
g = 72 /9
g = 8 yards.
4x + 6+ 3= 17
Show answer
Answer:
x= 2
Step-by-step explanation:
4x+6+3=17
4x+9=17
-9 -9
4x= 8
4x/4 = 8/4
x= 2
Hope this helps!
Find the coordinates of the midpoint of
segment XY for X(-2, 3) and Y(-8, -9).
Answer:
use formula
(x,y) =[ (x1+x2)/2 ,(y1+y2/2)]
=[(-2-8)/2, (3-9)/2]
=(-10/2 ,-6/2)
=(-5,-3)
Solve x for 8 x = 22 Give your answer as an improper fraction in its simplest form.
Step-by-step explanation:
8x =22
Divide by 8
X=11/4
The required improper fraction is 11/4.
What is an improper fraction?Improper fractions are defined as fractions for which the numerator is greater than the denominator.
Given that an equation, 8x = 22, we need to find the value of x,
8x = 22
Diving both the sides by 8, we get,
x = 22/8
x = 11/4
Here, the numerator is greater than the denominator.
Hence, the required improper fraction is 11/4.
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Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle: 3,16,17 A. Not a triangle B. Acute C. Right D, Obtuse
Answer: B. Acute
Step-by-step explanation:
It cannot be right, because when doing the Pythagorean test it does not work, and it cannot be obtuse because (3)^2+(16)^2 isn’t greater than (17)^2, so this means it has to be acute.
Type the missing number in this sequence:
3,
8,
18,
33,
53,
78,
108
Answer:
143
Step-by-step explanation:
3 + 5 = 8
8 + 10 = 18
18 + 15 = 33
33 + 20 = 53
53 + 25 = 78
78 + 30 = 108
108 + 35 = 143
Answer:
3, 8, 18, 33, 53, 78, 108, (143)
(143) is the next number
You are going by 5
Step-by-step explanation:
Can anyone please help me!! D: :D
Answer:
4
Step-by-step explanation:
18/6=3
24/6=4
42/6=7 ...
The volume of this right prism is 266.5 ft³.
What is the height, x, of the prism?
Enter your answer as a decimal in the box.
x =
ft
Answer: The Correct answer is 8.2
Explanation: I took the K12 test and got it right
The height of the prism is 8.2 feet.
What is Volume?The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it can occupy in three dimensions.
We have,
The volume of this right prism is 266.5 ft³.
As, the formula for Volume of Trapezoidal prism is
= 1/2 ( base 1 + base 2) x height x length
So, Volume of prism
266.5 = 1/2 (5 + 8) x 5 x y
266.5 = 32.5 y
y= 8.2
Thus, the height of the prism is 8.2 feet.
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Bianca took out a $2,600 unsubsidized stafford loan. she will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished. the loan has an interest rate of 6.2%, compounded monthly. how much will she have to pay monthly to avoid interest capitalization? a. $12.40 b. $19.29 c. $13.43 d. $17.36
The total amount Bianca has to pay monthly to avoid interest capitalization is $13.43.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount of annual payment is given as,
[tex]A_p=P\times\left(\dfrac{r}{1-1+r}\right)^t\\[/tex]
Here, P is principal amount, the rate is r and time period is t.
Bianca took out a $2,600 unsubsidized stafford loan. She will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished.
Total months in ten years,
[tex]t=10\times12\\t=120[/tex]
The loan has an interest rate of 6.2%, compounded monthly. The interest rate is,
[tex]r=0.062[/tex]
Put the values in the above formula as,
[tex]A_p=(2600)\times\left(\dfrac{0.062}{1-1+0.062}\right)^{120}\\A_p=161.32[/tex]
Total payment paid by her in 1 year of time is,
[tex]M_p=\dfrac{161.32}{12}\\M_p=13.43[/tex]
Thus, the total amount Bianca has to pay monthly to avoid interest capitalization is $13.43.
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good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
2x² - 12 + 8x
Setting up the equation:
Let that [SOMETHING] be L
⇒ 3x² + 8x - 16 - (L) = x² - 4To avoid confusion, let's use parenthesis:
⇒ (3x² + 8x - 16) - (L) = (x² - 4)Simplifying the equation:
Subtract "(3x² + 8x - 16)" both sides to isolate "(L)":
⇒ (3x² + 8x - 16) - (3x² + 8x - 16) - (L) = (x² - 4) - (3x² + 8x - 16)⇒ -(L) = (x² - 4) - (3x² + 8x - 16)Take the "-" in the parenthesis:
⇒ -(L) = (x² - 4) + (-3x² - 8x + 16)Open the parenthesis:
⇒ -L = x² - 4 - 3x² - 8x + 16Combine like terms and simplify:
⇒ -L = x²(1 - 3) + (-4 + 16) - 8x⇒ -L = x²(-2) + (12) - 8x⇒ -L = -2x² + 12 - 8xPut both terms in parenthesis:
⇒ -(L) = (-2x² + 12 - 8x)Multiply both sides by -1:
⇒ (L) = -(-2x² + 12 - 8x)⇒ L = 2x² - 12 + 8xThus, the [SOMETHING] is 2x² - 12 + 8x.
Answer:
[tex]2x^2+8x-12[/tex]
Step-by-step explanation:
[tex]P=3x^2+8x-16[/tex]
[tex]= x^2-4[/tex]
The Quantity Subtracted
Let the Quantity be called "y"
[tex]P=y\\3x^2+8x-16-y=x^2-4[/tex]
Bring together like terms
[tex]y= 3x^2-x^2+8x-16+4\\y= 2x^2 + 8x-12[/tex]
Anna spent $15.50 for child care on Monday, $22.50 on Tuesday, and $21.00 on Wednesday. How much did she spend on child care for these three days?
Answer:
15.50+22.50+21.00 = 59.00
=$59.00
The price of a gallon of gasoline dropped by $0.08 on Wednesday and by 0.25 of that amount on Thursday. Which best represents how the price of a gallon of gasoline changed on Thursday? –0.32 –0.02 0.02 0.32
Answer:
- 0.32
Step-by-step explanation:
because if you add 0.08 and 0.25 you get 0.32 but then you are subtracting that from the original price so I think it would be - 0.32
Answer:
-0.32
Step-by-step explanation:
I just answered that question
Can anyone answer this please?
-16/11
Step-by-step explanation:
16/3 %(- 11/3)
16/3 ×3/-11 = - 16/11
8 x 8 x 8 x 8 using an exponent
Hey there!
We have
8×8×8×8
Let's write it using an exponent.
8=8¹
8×8=8²
8×8×8=8³
8×8×8×8=8⁴
So we multiplied 8 times itself 4 times (that's why the exponent is 4)
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
SLOVE I AM CONFUSED ON THIS PLEASE HELP 2+1=?
Answer:
21
Step-by-step explanation:
i rest my case
Answer:
3
Step-by-step explanation:
2+1=3 trust me
A coin is flipped 300 times. The outcomes are contained in the table.
Outcome Heads Tails
Relative frequency 286 14
What is the probability that the next flip will be a tails?
Enter the answer, in simplified form, by filling in the boxes.
Probability of Tails = $$
35 points please hurry
Answer:
30/50
Step-by-step explanation:
here are the pictures HOPE I HELP :)
1+1 =? sos sos sos sos sos sos sos sos sos sos sos
Answer:
I think its 2 bro
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
LOL LOL LOL LOL
What's your highest tile in 2048?
I got 131072
I need help with this it doesn’t take long.
Answer:
x=44
Step-by-step explanation:
x=#of baseball cards to start with
1/2x+9=31
x/2+9=31
(-9) (-9)
then you take away 9 from both sides
x/2=22
then you times 22 by 2 which is 44
so that is the amount of cards you started with.
. A driver travels 688 miles in 2 hours. How many miles would this person
drives in 4 hours?
Answer:
1,376
Step-by-step explanation:
688 • 2 = 1,376
Answer:IT MATH
Step-by-step explanation:
How is y = x + 4.5 related to y = x ?
Answer: the graphs of the two lines are ||.
Step-by-step explanation: Notice that in this problem, we have
the parent graph y = x and the equation y = x + 4.5.
Notice that both of these equations have the same slope.
When two equations have the same slope and
have different y-intercepts, the lines are ||.
Answer :it related because it is a slope form.
Step-by-step explanation:
Does anyone know angles? If so can you help me?
Answer:
Top right is x=21 Top left is x=15
Bottom right is x=9 Bottom left is x=38
Step-by-step explanation:
Susie made 4 gallons of punch for her party. how many cups of punch did she make? do not give me a link just tell me.
Answer:
32 is your answer
Step-by-step explanation:
simplify it down by dividing what you had in the gallon that came from 16 oz
What is the area of this parallelogram?
Please help :)
Answer:
D
Step-by-step explanation:
Remark
We will change the dimensions to decimals
h = 3 7/8 = 3.875
b = 6 1/2 = 6.5
Formula
Area = h * b
Solution
Area = 3.875 * 6.5
Area = 25.1875
0.1875 = 3/16
Answer: Area = 25 3/16
Answer: D