The weight of crate when it has 19 bricks is 165 pounds
Solution:Given that, A crate with 20 bricks weighs 167 pounds.
When the same crate has 32 bricks, it weighs 191 pounds.
Now, let the weight of each brick be "m" pounds and weight of the crate be 'n" pounds.
Then, when crate has 20 bricks
Total weight = weight of bricks + weight of crate
[tex]167 \text { pounds }=\text { number of bricks } \times \text { weight of each brick }+\text { weight of crate }[/tex]
[tex]167=20 \times m+n[/tex]
20m + n = 167 ----- eqn (1)
Now, when crate has 32 bricks
Total weight = weight of bricks + weight of crate
[tex]191 \text { pounds }=\text { number of bricks } \times \text { weight of each brick + weight of crate }[/tex]
[tex]191=32 \times m+n[/tex]
32m + n = 191 ----- eqn (2)
Now, subtract (1) from (2)
32m + n = 191
20m + n = 167
(-) ----------------
12m + 0 = 24
m = 2
Then, from eqn (1)
20(2) + n = 167
40 + n = 167
n = 167 – 40 = 127
Now, when the box has 19 bricks
Total weight = 19 bricks x 2 pounds per brick + 127 pounds of crate
[tex]\text { Total weight }=19 \times 2+127=38+127=165[/tex]
Hence, the weight of crate when it has 19 bricks is 165 pounds.
Mauna Loa depresses the sea floor, resulting in 26400 more feet added to its height. If Mauna Loa is 13700 ft tall. What is the total height of Mauna Loa?
Answer:40100 feet
Step-by-step explanation:26400 +13700 = 40100
The total height of Mauna Loa is by summation 26400 +13700 = 40100 feet.
What is summation?A summation, abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, a thousand, or a million.
As per the given,
Initial height = 13700 feet
Height add on = 26400 feet
Total height = 13700 feet + 26400 feet = 40100 feet
Hence "The total height of Mauna Loa is by summation 26400 +13700 = 40100 feet".
For more information about summation
brainly.com/question/10777222
#SPJ2
Guys!! anyone can help me solve this geometry problem?
What is the area of this triangle?
Answer:
10657.5
Step-by-step explanation:
Long way that is unnecessarily long
We can start by finding the area of the larger triangle. Using the Pythagorean theorem, we can say that 251²-105²=the bottom side², and 251²-105²=51976, so the bottom side of the larger triangle is √51976 , or approximately 228. Then, the area of the larger triangle is √51976 * 105/2 = 11969 (approximately). Then, the area of the smallest triangle (the largest triangle - the one that we're trying to find the area of) is 105*(√51976-203)/2 = approximately 1312. Then, subtracting that from the total area, we get (√51976 * 105 - 105*(√51976-203))/2 = 105*203/2 = 10657.5
Short wayALTERNATIVELY, upon further review, we can just see that the height is 105 and the base is 203, so we multiply those two and divide by 2, as is the formula for the area of a triangle, to get 10657.5
Sarah wrote two decimals on the chalkboard. The decimals she wrote were were 5.73 and -6.1. What is the sum of the two decimals Sarah wrote?
Answer:
-0.37
Step-by-step explanation:
identify the transformation that carries the figure onto itself A) Reflect across the line Y=1 and rotate 990° clockwise about(-7,1) B) Reflect across the line Y=1 and rotate 1080° clockwise about (-7,1) C) Reflect across the line Y=1 and rotate 990° clockwise about (-7,1) D) Reflect across the line X=-6 and rotate 1080° clockwise about (-7,1)
Answer: The answer is B.
Step-by-step explanation:
Final answer:
The correct transformation that carries the figure onto itself is Option B: reflecting across the line y=1 and rotating 1080° clockwise about the point (-7,1), as the 1080° rotation is a multiple of 360° and does not change the figure's orientation.
Explanation:
The question is asking to identify the transformation that can be applied to a figure such that the figure maps onto itself. We're given various options that involve a reflection and a rotation. Reflection across a line like y=1 would flip the figure over this horizontal line. A rotation of 1080° clockwise about a point is equivalent to a full 360° rotation three times (since 1080° = 360° × 3), which would bring the figure back to its original position, effectively leaving it unchanged.
The correct answer is Option B, which includes a reflection across the line y=1 and a 1080° clockwise rotation about the point (-7,1). This is because the 1080° rotation, being an integer multiple of full circles, results in no net rotation, so the figure looks exactly the same after this operation. The reflection flips the figure across the line y=1 but, when combined with the rotation, it results in the figure mapping onto itself.
Options A and C suggest a 990° rotation, which is not a multiple of 360° and therefore would not result in the figure mapping onto itself. Option D suggests reflecting across the line x=-6, which is not in the given options for the reflection, and a 1080° rotation about the point (-7,1), which would rotate the figure back onto itself after the reflection, but the reflection line is incorrect.
Order the numbers from greatest to least.
36, 36.10, 36.01,37
Answer:
36.10, 36, 36.01,37
Step-by-step explanatoion:
Answer:
36 , 36.01 , 36.1 , 37
Step-by-step explanation:
Evaluate g(x) = x – 13 over the domain {2, 4, 6, 8). What is the range of g(x)2
Answer:
The range of g(x) = {-11,-9,-7,-5}.
Step-by-step explanation:
Given:
g(x) = x – 13 over the domain {2, 4, 6, 8).
Now, to evaluate:
Putting [tex]x=2[/tex]
[tex]g(2)=2-13=-11[/tex]
Putting [tex]x=4[/tex]
[tex]g(4)=4-13=-9[/tex]
Putting[tex]x=6[/tex]
[tex]g(6)=6-13=-7[/tex]
Putting [tex]x=8[/tex]
[tex]g(8)=8-13=-5[/tex]
So, the range is {-11,-9,-7,-5}.
Therefore, the range of g(x) = {-11,-9,-7,-5}.
What is the molar mass dinitrogen monoxide?
The molar mass of dinitrogen monoxide?
Is=N2O=(14×2)+16
=44g/mol
Final answer:
The molar mass of dinitrogen monoxide (N₂O) is 44.02 g/mol, calculated by adding the atomic masses of two nitrogen atoms (14.01 g/mol each) and one oxygen atom (16.00 g/mol).
Explanation:
The molar mass of dinitrogen monoxide, which is chemically denoted as N₂O, can be calculated by adding together the atomic mass of nitrogen with the atomic mass of oxygen. Nitrogen (N) has an atomic mass of approximately 14.01 g/mol, and since we have two nitrogen atoms, we multiply this by 2. Oxygen (O) has an atomic mass of about 16.00 g/mol. Therefore, the molar mass of dinitrogen monoxide is:
(14.01 g/mol × 2) + (16.00 g/mol × 1) = 28.02 g/mol + 16.00 g/mol = 44.02 g/mol.
This value represents the weight of one mole of dinitrogen monoxide molecules. The importance of knowing the molar mass of a compound like dinitrogen monoxide relates to the calculations involved in chemical reactions and stoichiometry, specifically when dealing with gases under various conditions of temperature and pressure.
3 and 5 over 8 minus 1 and 3 over 4
Answer:
Exact Form: 27/8
Decimal Form: 3.375
Mixed Number Form: 3 3/8
Step-by-step explanation:
3 + 5/8 - 1 + 3/4
I stared by making 5/8 a decimal
which is 0.625
then added 3 to 0.625 which is 3.625 then subtracted 1 which is 2.625
then i turned 3/4 to a decimal which is 0.75
i added 2.625 and 0.75
which is 3.375
Answer: 0
Step-by-step explanation:
3 and 5 over 8 minus 1 and 3 over 4
= 3 +5/8 - 1+3/4
= 8/8 - 4/4
=1 - 1
=0
If f(x) is the height, in cm, of a sunflower plant which is x days old, which of the
following statements best describes the meaning of f(60) = 210? (1 point)
1) The height of the sunflower plant is 60 cm when it is 210 days old.
2) The height of the sunflower plant is 210 cm when it is 60 days old.
3) The height of the sunflower plant is 210 cm when it is 3.5 days old.
0
4) The height of the sunflower plant is 60 cm when it is 3.5 days old.
Answer:
2) The height of the sunflower plant is 210 cm when it is 60 days old.
Step-by-step explanation:
Given:
The height of the sunflower plant is given by the value of the function [tex]f(x)[/tex] for a given value of 'x' and the age of the plant is given by [tex]x[/tex].
The expression is given as:
[tex]f(60)=210[/tex]
So, the 'x' value is 60 and the function value is 210.
So, the age of the plant is 60 days old. The height of the plant is 210 cm.
Thus, the above expression [tex]f(60)=210[/tex] means that the height of the sunflower plant is 210 cm when the plant is 60 days old.
So, from among all the choices given, only choice (2) defines it correctly.
graph the line y = 2x - 5
Answer:
The Explanation is below with attachment.
Step-by-step explanation:
For the line y = 2x - 5
For Drawing a line on a graph we require minimum two points, but we will plot three points.
Here you can take any random value for X so that the corresponding Y value you will get.
So, put x = 0, in the equation we will get
[tex]y = 2(0) - 5\\\therefore y = -5\\\therefore Let\ A(0,-5)[/tex]
Similarly,
Put x = 1 we will get,
[tex]y= 2(1)-5\\\therefore y =-3\\\therefore Let\ B(1,-3)[/tex]
Again,
Put x = -1 we will get,
[tex]y= 2(-1)-5\\\therefore y =-7\\\therefore Let\ C(-1,-7)[/tex]
Now we have three points say point A (0,-5)), point B (1.-3) and point C (-1,-7)
See the graph below
A right triangle is shown below whose sides are 2x, x2 - 1, and x2 + 1.
(a)
Prove the identity (2x)2 + (x2 - 1)2 = (x2 + 1)2
for x > 1.
x2 +1
.12-1
Answer:
[tex](2x)^2 + (x^2 - 1)^2 = (x^2 + 1)^2[/tex] PROVED
Step-by-step explanation:
The sides of the given right triangle are : [tex]2x , (x^2 -1) , (x^2 +1)[/tex]
Now here, To show: [tex](2x)^2 + (x^2 - 1)^2 = (x^2 + 1)^2[/tex] .... (1)
Now, by ALGEBRAIC IDENTITY: [tex](a \pm b)^2 = a ^2 +b^2 \pm 2ab[/tex]
So here, similarly
[tex](x^2-1)^2 = (x^2)^2 + (1)^2 - 2 (x^2)\\(x^2+1)^2 = (x^2)^2 + (1)^2+ 2 (x^2)[/tex]
Now, substituting the value on Left side of (1) , we get :
[tex](2x)^2 + (x^2 - 1)^2 = 4x^2 + (x^2)^2 + (1)^2 - 2 (x^2) = 4x^2 + (x^4) + 1 - 2 x^2 = x^4 + 1 + 2x^2[/tex] ...... (a)
Also, the right side of (1) is:
[tex](x^2 + 1)^2 = (x^2)^2 + (1)^2+ 2 (x^2) = x^4 + 1 + 2x^2[/tex] ... (b)
from(a) and (b) we see that
[tex]x^4 + 1 + 2x^2 = x^4 + 1 + 2x^2\\\implies(2x)^2 + (x^2 - 1)^2 = (x^2 + 1)^2[/tex]
HENCE PROVED.
Three-fourths of the students in the class did their homework last night. If 18 students in the class did their homework,
how many students are there in the class? Write an equation for this situation. Solve your equation algebraically two different ways.
Answer: 24 people are in the class
I am sorry I don’t know the equation but I hope this helps.
Step-by-step explanation:
3. 18. 18
- =. —. =. —-
4. ? 24
Given that a rectangle has a length of
5/
2
x + 10 with a width of
5/
2
x + 5, which expression represents the area of the rectangle?
Answer:
A=(5/2x+10)(5/2x+5)
Step-by-step explanation:
A=LW
A=(5/2x+10)(5/2x+5)
Does anyone know the answer I need help
Answer: m = 4
Step-by-step explanation: To solve for m in this equation, we want to get m by itself on the left side of the equation.
Since m is being multiplied by 3.6, to get m by itself, we need to divide by 3.6 on the left side of the equation. Since we divided by 3.6 on the left side, we must also divide by 3.6 on the right side.
On the left side, notice that 3.6's cancel out so we're simply left with m. On the right side, we have 14.4 divided by 3.6 which is 4. So we now have m = 4.
Finally, remember to check your answer by substituting a 4 back into the original equation.
So we have 3.6 (4) = 14.4 which is a true statement.
This means that our answer, m = 4, is correct.
Remember to show all your work when solving equations.
Ms. Hartman's class is going on a field trip to the planetarium. There are 25 students in the class, and each student needs to purchase a day pass to the planetarium and a lunch ticket. The day pass costs $10, and the lunch ticket costs t dollars.
Pick all the expressions that represent the total cost for the field trip.
250+10t
t(25+10)
250+25t
25(10+t)
Answer:
The last two, 250+25t and 25(10+t)
Step-by-step explanation:
Answer: 250+25t and 25(10+t)
Step-by-step explanation: trust me i just got it right on ixl.
Haley invests $16,820 in a nine-year CD bearing 5.8% interest, and $21,950 in an online savings account giving 3.0% interest. When the CD reaches maturity, how much more interest will it have generated than the savings account?
Answer:
$2853.5
Step-by-step explanation:
Let us assume that the interest rate of both the investments of Haley is simple interest.
So, $16820 amounts of investment in nine-year CD bearing 5.8% interest will get interest of [tex]16820 \times \frac{5.8}{100} \times 9 = 8780[/tex] dollars.
Again, $21950 amounts of investment in an online savings account giving 3% interest will give interest of [tex]21950 \times \frac{3}{100} \times 9 = 5926.5[/tex] dollars.
Therefore, the nine-year CD will give more interest by $(8780 - 5926.5) = $2853.5. (Answer)
Answer:
C. $2,853.54
Step-by-step explanation:
I just answered it correct
It’s question number 6, please help!
Answer:
a. s = 0.9r
not very sure about b
Step-by-step explanation:
population mean =72 and standard deviation =10, what is standard error of distribution of sample means for n=4 and n=25
Answer:
The standard error of distribution for n = 4 is 5 and for n = 25 is 2.
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Population mean = 72
Standard deviation = 10
Sample₁ = 4
Sample₂ = 25
2. For finding the standard error of the mean, we use the following formula:
Standard error = Standard deviation / √Size of the sample
Standard error for Sample₁ = 10/√4
Standard error for Sample₁ = 10/2 = 5
Now, let's find the standard error for Sample₂
Standard error for Sample₂ = 10/√25
Standard error for Sample₂ = 10/5 = 2
A pet store specializes in exotic fish. The graph shows a proportional relationship between the number of fish and the number of fish tanks at the store.
Answer:
could you please take a screen shot please?
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
if there are 5 tanks and 65 fish in all the tanks together, you take 65 and divide it by 5 to get 13 fish in each tank
The fabulous fish market orders tilapia, which costs $3 per pound, and salmon, which costs $5 per pound. The market budgets $210 to spend on this order each day
1.) What are five different combinations of salmon and tilapia that the market can order
Answer:
10 pounds of tilapias and 36 pounds of salmon,
15 pounds of tilapias and 33 pounds of salmon,
20 pounds of tilapias and 30 pounds of salmon,
25 pounds of tilapias and 27 pounds of salmon,
30 pounds of tilapias and 24 pounds of salmon.
Step-by-step explanation:
Let's call the amount of pounds of tilapia X and the amount of pounds of salmon Y.
If each pound of tilapia costs $3 and each pound of salmon costs $5, we can write the following equation:
210 = 3X + 5Y
To find five different combinations to solve this equation, we can choose values for X and then calculate values of Y.
So, for X = 10, we have that:
210 = 30 + 5Y -> Y = 36
For X = 15, we have that:
210 = 45 + 5Y -> Y = 33
For X = 20, we have that:
210 = 60 + 5Y -> Y = 30
For X = 25, we have that:
210 = 75 + 5Y -> Y = 27
For X = 30, we have that:
210 = 90 + 5Y -> Y = 24
So the combinations are (10,36), (15,33), (20,30), (25,27) and (30,24)
Answer:Your answer is..
Step-by-step explanation:(10,36), (15,33), (20,30), (25,27) and (30,24)
Add. 1/2+(−3/5) Enter your answer as a fraction, in simplified form, in the box.
Answer:
-1/10
Step-by-step explanation:
1/2 - 3/5
Find common denominator. in this case, it'll be 10
1/2 * 5/5 = 5/10
3/5 * 2/2 = 6/10
5/10 - 6/10 = -1/10
what is x^2+4=0 over the set of complex numbers?
[tex]\bf x^2+4=0\implies x^2=-4\implies x = \pm\sqrt{-4}\implies x = \pm\sqrt{-1\cdot 2^2} \\\\\\ x = \pm\sqrt{-1}\cdot \sqrt{2^2}\implies x = \pm 2i[/tex]
Simplify square root of five times the quantity six minus four square root of three.
Answer:
C
[tex]6\sqrt{x} 5-4\sqrt{x} 15[/tex]
Answer:
6√5 - 4√3
Step-by-step explanation:
The question ask us to simplify the square root of 5 times the quantity 6 minus 4 square root of 3 . The word expression can be represented mathematically as follows:
√5 × 6 - 4√3 . The expression forms a Surd.
√5 × 6 - 4√3
6√5 - 4√3
The adult weighs 84.09 kg. Calculate the adult’s weight in kilograms to pounds . Show work
The adult weight in pounds is 185.39 lb
Solution:
Given that adult weighs 84.09 kilogram
To find : Adult’s weight in kilograms to pounds
We have the change the weight of the adult from kilogram to pound
The conversion between kilogram and pound is as follows:-
1 kilogram = 2.204623 lb
To find the adult weight in pound, we need to multiply the adult weight in kilogram by 2.204623
Converting 84.09 kg to pound:
[tex]\begin{array}{l}{84.09 \mathrm{kg}=84.09 \times 1 \mathrm{kg}} \\\\ {84.09 .09 \times 2.204623=185.39 \mathrm{lb}}\end{array}[/tex]
Therefore the weight of the person in pound = 185.39 lb
Please help on this problem I don’t know how to do it and I’m getting tired of doing this
If it's Pythagorean Theorem, then use the following:
[tex]A^2 + B^2 = C^2[/tex]
You have to multiply the 2 values by themselves if you are trying to find the Hypotenuse, then you need to add those together, and then find the square root.
10 x 10 = 100
15 x 15 = 225
100 + 225 = 325.
[tex]\sqrt{325} = 18.0277564[/tex]
Answer: 18
Step-by-step explanation:
So this is referencing the Pythagorean theorem. It states that the two shorter sides squared, in your case 10 and 15, is equal to the longest side, or hypotenuse squared.
Step by step
1. Calculate both the shorter sides squared: 10*10= 100 and 15*15= 225
2. Add the 2 shorter sides: 100 + 225 = 325
3. Find the square root of 335: √(325) = 18.0277563773
4. Round to the nearest integer: 18
What is (g ° f)(2) for f(x) = 10/x -1 and g(x) = 7x - 4?
A) 0
B) 4
C) 10
D) 24
Answer:
The value of function (g o f) (2) is 24 . option D
Step-by-step explanation:
Given function as :
f(x) = [tex]\frac{10}{x}[/tex] - 1
And g(x) = 7 x - 4
So ,
(g o f) (x) = 7 ( [tex]\frac{10}{x}[/tex] - 1 ) - 4
Or, (g o f) (x) = [tex]\frac{70}{x}[/tex] - 7 - 4
Or, (g o f) (x) = [tex]\frac{70}{x}[/tex] - 11
So, For x = 2
I,e (g o f) (2) = [tex]\frac{70}{2}[/tex] - 11
Or, (g o f) (2) = 35 - 11
∴ (g o f) (2) = 24
Hence The value of function (g o f) (2) is 24 . Answer ( option D )
I'll mark brainlest
find the distance between point A, (2,3) and point B, (-4,6) show your work by using the distance formula
Answer:
The distance is 7 (approximately).
Step-by-step explanation:
Given:
Point A, (2,3) and point B, (-4,6).
Now, to find the distance between the points using the formula:
Let A = (2,3) be [tex](x_{1}, y_{1})[/tex] and B = (-4,6) be [tex](x_{2}, y_{2})[/tex] and d = distance.
Putting the distance formula to find:
[tex]d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}[/tex]
[tex]d=\sqrt{(-4-2)^{2} +(6-3)^{2}}[/tex]
[tex]d=\sqrt{(-6)^{2} +(3)^{2}}[/tex]
[tex]d=\sqrt{36 +9}[/tex]
[tex]d=\sqrt{45}[/tex]
[tex]d=6.71[/tex]
Distance = 6.71
Therefore, the distance is 7 (approximately).
The health club is raising money through a babysitting fundraiser. On Thursday, they charged $3 per hour plus an initial fee $40. On Friday, they charged $4 per hour plus an initial fee of $30. How many hours do they need to babysit to have the same money each day?
They need to babysit for 10 hours to have same money each day.
Step-by-step explanation:
On Thursday;
Charges = $3 per hour
Initial fee = $40
let x be the number of hours.
T(x) = 3x+40
On Friday;
Charges = $4 per hour
Initial fee = $30
F(x)= 4x+30
The cost will be same when;
T(x) = F(x)
[tex]3x+40=4x+30\\40-30=4x-3x\\10=x\\x=10[/tex]
They need to babysit for 10 hours to have same money each day.
Keywords: functions, addition
Learn more about functions at:
brainly.com/question/3071107brainly.com/question/3126500#LearnwithBrainly
Y = -22x +9
y = 40x - 3
Answer:
x=6/31, y=147/31. (6/31, 147/31).
Step-by-step explanation:
y=-22x+9
y=40x-3
-----------------
-22x+9=40x-3
9=40x-(-22x)-3
9=40x+22x-3
9=62x-3
62x=9+3
62x=12
x=12/62
simplify,
x=6/31
-----------------
y=40(6/31)-3=240/31-3=240/31-93/31=147/31
x=6/31, y=147/31.
i need help asap :(
Answer:
D
Step-by-step explanation:
Firstly, perpendicular line has a slope that is "negative reciprocal" of the given line's slope.
The equation of a line is y = mx + b
Where m is the slope and b is the y-intercept
So, the given line has a slope of "-4", hence the perpendicular line would have a slope of "1/4". So immediately we can eliminate Answer Choice "A".
Now, let's see which of the other choices is our correct answer. Since we know this line has slope of "1/4", we can write:
y = (1/4)x + b
Given the point (4,5), we can replace "x" with "4" and "y" with 5 and find b:
[tex]y=\frac{1}{4}x+b\\5=\frac{1}{4}(4)+b\\5=1+b\\b=5-1\\b=4[/tex]
So, the equation is:
[tex]y=\frac{1}{4}x+4[/tex]
Correct answer is D