As I understand, we want to perform the given sum by adding the correspondent place values.
Using this method, we will see that the value of the sum is 258.
First, we define the place values as the value that each "position" has, where the reference is the decimal point.
The first place at the left of the decimal points is the units digit.
The second is the tens digit, and so on.
With this, we can rewrite te twi given numbers as:
215 = 2*100 + 1*10 + 5*143 = 4*10 + 3*1Then the sum can be done as:
215 + 43
(2*100 + 1*10 + 5*1) + ( 4*10 + 3*1)
2*100 + (1 + 4)*10 + (5 + 3)*1
2*100 + 5*10 + 8*1 = 258
Then we have:
215 + 43 = 258
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A truck can be rented from Company A for $110 a day plus $0.50 per mile. Company B charges $80 a day plus $0.75 per mile to rent the same truck. Part A: Write an equation to find the number of miles in a day at which the rental costs for Company A and Company B are the same. Part B: Solve the equation.
m=number of miles
A=$110+$0.50m
B=$80+$0.80m
$110+$0.50m=$80+$0.80m Subtract ($80+$0.50m)
$30=$0.30m Divide each side by $0.30
100=m ANSWER: More than 100 miles must be driven per day to make Company A a better deal.
solve each system by substitution.
-x + 4y = 6
y = -2x + 6
Answer:
(x,y)+(2,2)
Step-by-step explanation:
solve pls brainliest
In coordinates, the first number is the x and the second one is y. In (4,2), 4 is the x and 2 is the y. The x axis goes from left to right and the y axis goes from up to down.
Can someone help me on this question! It’s really confusing
is that all of the question?
james likes to make sculptures. First he makes a scale and then he blows it up to normal size. The height of the scale model is 3 inches. The scale he is using is 1inch = 3 feet. How tall is the sculpture?
Solve for X
Marking you the brainliest provided you got it right and with step by step explanation
Answer:
260°Step-by-step explanation:
We need to find the value of angle x:
x = m∠BCG + m∠DCGFind the angles BCG and DCG, considering BA, CG and DE are parallel lines:
m∠DCG = 180° - m∠CDE = 180° - (360° - 312°) = 132°m∠BCG = 180° - m∠ABC = 180° - 52° = 128°Find x:
x = 132° + 128°x = 260°Two gasoline stations along an expressway have six gas pumps each. An experiment involves determining how many pumps are in use at a particular time for each station. Describe S by listing the elements.
The sample space is used to prepare a list of all possible outcomes or element in an experiment. The sample space containing all elements attainable for the number of working pumps at a particular station is listed below :
Number of stations = 2 Number of pumps per station = 6Let the number of pumps in use at each station be listed on the row and column respectively :
P1/P2_0 _ 1__ 2 __ 3 __ 4 __ 5 __ 6
0__ 0,0 _0,1 _0,2 _0,3 __0,4_ 0,5_0,6
1__ 1,0 __1,1 _1,2 __1,3 __1,4 __1,5_ 1,6
2__2,0 _2,1 _2,2 _2,3 __2,4 __2,5_2,6
3__3,0_3,1 _3,2 _ 3,3 __3,4 __3,5 _3,6
4__4,0_4,1 _4,2 _ 4,3 __4,4 __ 4,5 _4,6
5__5,0_5,1 _5,2 _ 5,3 __5,4 __ 5,5 _5,6
6__6,0_6,1 _6,2 _ 6,3 __6,4 __ 6,5 _6,6
Therefore, all possible outcomes relating to the number of working pumps are available in the sample space created.
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Which represents the solution to the inequality 4x + 7(3x - 3) ≤ 9 - 5x in interval notation
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x < 1
Interval Notation:
( − ∞, 1)
What is the slope of the line?
Answer:
-3
Step-by-step explanation:
we take two points to find slope m
lets take ( 1, 4) and ( 2, 1)
then m=(1-4)/(2-1)
m=(-3)/(1)
m= -3
each big square below represents one whole. What percent is represented by the shaded area
-2,-6,-18,-54....n equals 11
What is the Geometric series!
Formula:Sn=a1(1-r^n) over(1-r)
PLEASE ANSWER I WILL GIVE U BRANLIEST ANSWER if correct¡!!¡
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Answer:
-177146
Step-by-step explanation:
The given formula is useful. The first term is a1 = -2. The common ratio is r = -6/-2 = 3. For n = 11 terms, the sum is ...
S11 = -2(1 -3^11)/(1 -3) = -2(-177146/-2) = -177146
The sum of 11 terms of the series is -177146.
How to Reduce -2/-6 to its lowest form?
Answer:
1/3. To reduce a fraction, divide both the numerator and denominator by the GCF.
4. 4^6x4^3
4^9 4^18 12^9 64^9
Michael wants to save $46,000.00 for a down payment on a home. How much will he need to invest in an account with 6.1% APR, compounding daily, in order to reach his goal in 7 years? Round the answer to the nearest cent
Step-by-step explanation:
Simple Interest
Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.
four rolled-up dollar bills seeming to grow out of dirt, with a miniature rake lying in between them
SIMPLE ONE-TIME INTEREST
I
=
P
0
r
A
=
P
0
+
I
=
P
0
+
P
0
r
=
P
0
(
1
+
r
)
I is the interest
A is the end amount: principal plus interest
P
0
is the principal (starting amount)
r is the interest rate (in decimal form. Example: 5% = 0.05)
EXAMPLES
A friend asks to borrow $300 and agrees to repay it in 30 days with 3% interest. How much interest will you earn?
Show Solution
The following video works through this example in detail.
One-time simple interest is only common for extremely short-term loans. For longer term loans, it is common for interest to be paid on a daily, monthly, quarterly, or annual basis. In that case, interest would be earned regularly.
For example, bonds are essentially a loan made to the bond issuer (a company or government) by you, the bond holder. In return for the loan, the issuer agrees to pay interest, often annually. Bonds have a maturity date, at which time the issuer pays back the original bond value.
EXERCISES
Suppose your city is building a new park, and issues bonds to raise the money to build it. You obtain a $1,000 bond that pays 5% interest annually that matures in 5 years. How much interest will you earn?
Show Solution
Further explanation about solving this example can be seen here.
Need help with number 31
Answer:
Kelly's wrong, because 97/1000 can be written as 0.097 not 0.97.
Step-by-step explanation:
you would get 0.97 by dividing 97 by 100.
Evaluate 2x2y3 when x=2\3 and y=1\2
Answer:
The answer is 4
Step-by-step explanation:
2(2/3)2(1/2)3
Write the converse inverse and contrapositive of the statement below
Answer:
c because if the converse is true then the inverse is also logically through
Please answer, I will mark BRAINELIST!
Answer:
answer is c
Step-by-step explanation:
3x (x-3)=0
than 3x=0 or x-3=0
x=0 or x=3
Answer:
HMMMMMMMMMMMMMMMMMMMMMMMM
Step-by-step explanation:
HMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
(1 point) Use the graph below to find exact values of the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer blank. The graph of f(x) is black and has a sharp corner at x = 2. The graph of g(x) is blue.
Let h(x) = f(g(x)). Find
A. h'(1) =
B. h'(2) =
C. h'(3) =
Derivatives can be calculated from graphed functions.
The values of the derivatives are:
The given parameter is:
[tex]\mathbf{h(x) = f(g(x))}[/tex]
Start by calculating the equations of f(x) and g(x)
Graph f(x)
The slopes of f(x) are: 3/2 and -3/2
So, the equations are:
[tex]\mathbf{f(x) = \frac{3}{2}x,\ 0 \le x \le 2}[/tex]
[tex]\mathbf{f(x) = -\frac{3}{2}x,\ x \ge 2}[/tex]
Graph g(x)
The slope of g(x) is: -1/2
So, the equation is:
[tex]\mathbf{g(x) = -\frac 12x}[/tex]
For x = 1 and x = 2, we have:
So, we have:
[tex]\mathbf{h(x) = f(g(x))}[/tex]
Where:
[tex]\mathbf{f(x) = \frac{3}{2}x\ 0 \le x \le 2}[/tex] and [tex]\mathbf{g(x) = -\frac 12x}[/tex]
[tex]\mathbf{h(x) = f(g(x))}[/tex] becomes
[tex]\mathbf{h(x) = \frac{3}{2}(-\frac{1}{2}x)}[/tex]
Open brackets
[tex]\mathbf{h(x) = -\frac{3}{4}x}[/tex]
Differentiate
[tex]\mathbf{h'(x) = -\frac{3}{4}}[/tex]
So:
[tex]\mathbf{h'(1) = -\frac{3}{4}}[/tex]
[tex]\mathbf{h'(2) = -\frac{3}{4}}[/tex]
For x = 3, we have:
[tex]\mathbf{h(x) = f(g(x))}[/tex]
Where:
[tex]\mathbf{f(x) = -\frac{3}{2}x\ x \ge 2}[/tex] and [tex]\mathbf{g(x) = -\frac 12x}[/tex]
[tex]\mathbf{h(x) = f(g(x))}[/tex] becomes
[tex]\mathbf{h(x) = -\frac{3}{2}(-\frac{1}{2}x)}[/tex]
[tex]\mathbf{h(x) = \frac{3}{4}x}[/tex]
Differentiate
[tex]\mathbf{h'(x) = \frac{3}{4}}[/tex]
Substitute 3 for x
[tex]\mathbf{h'(3) = \frac{3}{4}}[/tex]
Hence, the values of the derivatives are:
[tex]\mathbf{h'(1) = -\frac{3}{4}}[/tex], [tex]\mathbf{h'(2) = -\frac{3}{4}}[/tex] and [tex]\mathbf{h'(3) = \frac{3}{4}}[/tex]
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carlos registro la altura de una planta cada una semana y se dio cuenta que esta crecio constantemente 3 cm durante las primeras 4 semanas. cuando comenzó a realizar las mediciones lq planta media 12cm ¿ cuál es la variable dependiente y la independiente?
Answer:
yo soy inteligente
Step-by-step explanation:
pero no me se la respuesta de la perunta
The average person’s speed when riding a bike along a street is 18 kilometers per hour. What conversion factor can be used to convert this speed to meters per hour?
StartFraction 1 kilometer Over 1,000 meters EndFraction
StartFraction 1 meter Over 1,000 kilometers EndFraction
StartFraction 1,000 meters Over 1 kilometer EndFraction
StartFraction 1,000 kilometers Over 1 meter EndFraction
Answer:
The given average speed = 18 km per hour
Now, as we know from the conversion parameters:
1000 meters = 1 km
or 1 meter = ( 1/ 1000) kilometer
So, we can use the above information to convert average speed into meters per hour.
The given speed = 18 km / hr = 18 x (1000) meters /hr
= 18,000 meters / hr
Step-by-step explanation:
20 points fast plzz!!! Bob fenced in his backyard. The perimeter of the yard is 22 feet, and the length of his yard is 5 feet. Use the perimeter formula to find the width of the rectangular yard in inches: P = 2L + 2W.
6 in.
12 in.
72 in.
144 in.
Answer:
The width of the rectangular yard is 72 inches
Step-by-step explanation:
Let
L -----> the length of the yard
W ----> the width of the yard
we know that
The perimeter is equal to
we have
substitute in the formula and solve for W
Divide by 2 both sides
Subtract 5 both sides
Convert feet to inches
Remember that
1 ft= 12 in
Step-by-step explanation:
The width of the rectangle is 6 feet or 72 inches if the perimeter of the yard is 22 feet, and the length of his yard is 5 feet.
What is rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.
Perimeter of the rectangle :
P = 2L + 2W
L = 5 feet
22 = 2(5) + 2W
After calculating:
W = 6 feet
1 feet = 12 inches
6 feet = 72 inches
Thus, the width of the rectangle is 6 feet or 72 inches if the perimeter of the yard is 22 feet, and the length of his yard is 5 feet.
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Answer the question below, and then fill in the blanks if necessary.
Can the distributive property be used to rewrite
3 x (8 + 4) ?
Yes
No
If yes, fill in the blanks below.
3 x (8 + 4) - (0 * D + xD
X 5
?
Answer:
yes
Step-by-step explanation:
3(8+4)
(3×8)+(3×4)
24+12
36
Please help me 4⅗ ÷ ⅕ =
Answer:
23
Step-by-step explanation:
just used a calculator
Lisa bought a refrigerator on sale for 50% off the original price, for $235. What was the original price before the sale?
Answer:
470$Step-by-step explanation:
50% = 1/2
235 * 2 = 470
ANSWER THE QUESTION. THE IMAGE IS THE QUESTION.
Answer:
18, because the number of catalogs is 72/5 ÷ 4/5
Step-by-step explanation:
The answer is the last option because in total, the shelf is 72/5 inches wide. Given each catalog is 4/5 inch wide, and we want to find how many catalogs can fit in the shelf, we have to divide 72/5 by 4/5. When we divide 72/5 by 4/5, we get 18.
Answer:
18
Step-by-step explanation:
Because 72/5 by 4 over 5
72/4
= 18
Hope this helps :) Pls mark brainliest if you want
Can someone help me with letter b along with an explanation.
Step-by-step explanation:
Forced vital capacity: the maximum amount of air you can forcibly exhale from your lungs after fully inhaling. It is about 80 percent of total capacity, or 4.8 liters, because some air remains in your lungs after you exhale
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Answer:
a) 1.70 L
b) 16 breaths per minute
Step-by-step explanation:
a) The maximum value of v(t) occurs when the sine function is at its maximum value of 1. In that case, the volume is ...
1.27 +0.43×1 = 1.70 . . . liters
__
b) One full breath cycle takes a period of time that makes the argument of the sine function be 2π. The that time period is ...
1.71t = 2π
t = 2π/1.71 ≈ 3.6744 . . . seconds
Then the number of breaths per minute is ...
(60 seconds/minute)/(3.6744 seconds/breath) ≈ 16.33 breaths/minute
The person takes about 16 breaths per minute while sleeping.
What is the answer??? I need help fast pls
Answer:
x = 9
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
So if ∠A and ∠B are vertical angles than they are congruent ( so ∠A = ∠B )
If ∠A = 2x + 1 and ∠B = x + 10
Then 2x + 1 must equal x + 10
( note that we've just created an equation that we can use to solve for x )
We now solve for x using the equation we just created
2x + 1 = x + 10
Subtract x from both sides
x + 1 = 10
subtract 1 from both sides
x = 9
help me with this math question WILL GIVE BRAINLIEST
Step-by-step explanation:
all such triangles inscribed into a circle with their baseline being the diameter of the circle, must be right-angled. the 90 degree angle is at C.
the other thing is that the sum of all angles in a triangle is always 180 degrees.
so,
B = 180 - 90 - 20 = 70 degrees
I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
Answer:
y = 5
Step-by-step explanation:
Group all y terms on the left side of the equation
Subtract 3y from both sides: 3-y-3y=3y+10-3y
Group like terms: -y-3y+30=3y+10-3y
Simplify the arithmetic: -4y+30=3y+10-3y
Group like terms: -4y+30=3y-3y+10
Simplify the arithmetic: -4y+30 = 10
Group all constants on the right side of the equation
Subtract 30 from both sides: -4y+30-30=10-30
Simplify the arithmetic: -4y=10-30
Simplify the arithmetic: -4y=-20
Isolate the y
Divide both sides by-4: -4y/-4 = -20/-4
Cancel out the negatives: 4y/4 = -20/-4
Find the greatest common factor of the numerator and denominator: y = 5·4/1·4
Factor out and cancel the greatest common factor:
y=5