Answer:
4.636
Step-by-step explanation:
The ratio is the same when it is written in terms of billions of square meters:
CT/RI = 12.549/2.707 ≈ 4.636
The area of CT is about 4.636 times as large as the area of RI.
a school is arranging a field trip. the school spends 814.98 dollars on passes for 32 students and 2 teachers. they also spend 309.76 dollars on lunch for just the students. how much money was spent on a pass and lunch for each student?
Answer:
35.00?
Step-by-step explanation:
I don’t anderstands but i wanna help
What is the average rate of change for this quadratic function for the interval
from x= -5 to x= -3?
A. 16
ОО
B. -8
C. 8
D. -16
Answer:
hi the answer should be C or 8
Step-by-step explanation:
Hope this helps!
Answer:
8
Step-by-step explanation:
The average rate of change is given by
f(x2) -f(x1)
---------------
x2-x1
x2 = -3 and x1 = -5
Looking at the graph
f(x2) = f(-3) = 1
f(x1)= f(-5) =-15
Substituting these values into the equation
1 - (-15)
---------------
-3 - (-5)
1+15
----------
-3 +5
16
----
2
8
Given g(x)=-x+4g, solve for x when g(x)=8
Answer:g(-4)=8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Determine the largest integer value of x in the solution of the following inequality.
-5x + 6 > -5
Answer:
x=2
Step-by-step explanation:
-5(2)+6= -4
-4 is greater than -5
PLEASE NO LINKS AND NO NEGATIVITY
Answer:
D. Associative property of addition
Step-by-step explanation:
The associative property of addition states "Changing the group of addends does not change the sum." This means it does not matter what order you use when adding the variables together, and PEMDAS does not apply.
The commentative property of addition states the order of the numbers when adding does not change the sum. While this is true for this equation, this is not the main focus as we are still adding the same way from lines 3-4 with 6+3, instead of 3+6
the amount in Jamaican dollars one would get for US $200
200 US Dollar is 30837.86 Jamaican Dollar.
Which equations are true equations?
Select all correct answers.
24/2^2=50−62−8
56÷8+32=2⋅23
82−52=42−7
39−3⋅6=6⋅104+4
Answer: 24/2^2=50−62−8
Step-by-step explanation:
The equations which is true equation is 24/2² = 50−6²−8.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
1. 24/2² = 50−6²−8
LHS = 24/2² = 24/4 = 6
RHS = 50−6²−8 = 6
2. 56÷8+32=2⋅23
LHS = 56÷8+32 = 7 + 32 = 39
RHS = 2⋅23 = 46
3. 8²−5² =4²−7
LHS = 8²−5² = 39
RHS = 4²−7 = 21
4. 39−3⋅6=6⋅104+4
LHS = 39−3⋅6 = 35.4
RHS = 6⋅104+4 = 528
Hence, we can conclude that the equation 24/2² = 50 − 6² − 8 is true.
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HELP ASAPPPPPPPPPPPPPPPPP
Answer:
b. Kilograms
Step-by-step explanation:
help me plss i need helppp
James has $7.60 in nickels and quarters. He has 4 fewer nickels than quarters. How many of each coin does he have?
what are the zeros of the function of y=x^2-3x+2
Answer:
(x-1)(x-2)
x=1, x=2
Step-by-step explanation:
Write the equation for 5x+ 2 y= 3 in slope-intercept form PLEASE HELP ME
y= -5/2x+ 3x
y=5/3x -3/5
y= -2/5x + 3/5
Answer:
y=-5/2x+3/2
Step-by-step explanation:
5x+2y=3
2y=3-5x
2y=-5x+3
y=-5/2x+3/2
There are 12 students with brown hair and 45 students with black hair in a math class. What is the ratio of students with brown hair to students with black hair?
Answer:
57 Students........................
Danielle wants to buy a magazine for $11. The sales tax is 5%. How much would the total cost of the magazine be with tax included?
Answer:
$11.55
Step-by-step explanation:
If we convert the percentage to 1.05 and multiply it by 11, it's 11.55.
The maximum weight of a shipping container is 125 pounds.
What is the maximum weight in kilograms?
Round to the nearest kilogram.
Answer:
57kg
Step-by-step explanation:
The maximum weight of a shipping container would be 57 kilograms.
What are units of measurement?The units of measurement are a collection of units used to quantify various physical quantities. Since ancient times, humans have measured these things using a variety of units, including length, mass, volume, current, and temperature.
The maximum weight of a shipping container is 125 pounds which are given in the question.
We have to determine the maximum weight in kilograms
We know that the unit conversion of pounds to kilograms as
1 pound ≈ 0.45359237 kilogram
Multiply by 125 to get
125 pounds = 0.45359237 × 125 kilograms
125 pounds = 56.69904625 kilograms
Round to the nearest kilogram,
125 pounds = 57 kilograms
Therefore, the maximum weight of a shipping container would be 57 kilograms.
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Can someone plz help :(((((
What is the area, in square inches, of the rectangle?
Answer:
What are the side lengths?
I don’t know how to simplify this fully;15x/5xy
Answer:
3/y
Step-by-step explanation:
15x
5xy
you would divide top and bottom by 5x, since it is their only common divisor.
you would then get 3/y. hope this helps
I need help with this
Answer:
What do you need help with? Try uploading a picture or copying the question
-4x -2 + 3x - 10 How many terms are there? SIMPLIFY. What is the coefficient of x?
Answer:
Number of coefficients of x: 2 coefficients (-4 and 3)
Number of terms: They're 4 terms. (-4x, -2, + 3x, and -10)
Simplified: - x - 12
Step-by-step explanation:
1) Subtract the numbers.
-4x - 12 + 3x
2) Combine like terms.
- x - 12
is 4.57691 rational?
Answer:
Possibly
Step-by-step explanation:
Depending on how the number is depicted, there are some easy tells. If the number is an integer, or a finite decimal, or decimal with an infinitely repeating portion (like ), or a fraction with integers, finite decimals, or repeating decimals
What is the length of DF?
F
За
IT
E
G
a +6
D
DF =
Answer:
18
Step-by-step explanation:
Triangles FEG and DEG are congruent by SAS, so DG = FG.
a+6 = 3a
6 = 2a
3 = a
3a = 3·3 = 9 = FG = DG
DF = 9+9 = 18
a/a+2 = 3/5 ,, can someone give me the step by step solution to this? or at least explain it to me :’)
Answer:
Hey There!
Let's solve...
[tex] \frac{a}{a + 2} = \frac{3}{5} \\ \\ [/tex]
if a/b=c/d,then it will be a*d=b*c
Note: * means "×" or multiply
Let's continue...
[tex]a \times 5 = (a + 2) \times 3 \\ now \: expand \: \\ a \times 5 = 3a + 6 \\ \\ a \times 5 - 3a = 3a + 6 - 3a \\ [/tex]
[tex]now \: it \: will \: be \: a \times 2 = 6 \\ so \: 2a = 6 \\ \\ therefore \: a = \frac{6}{2} \\ simplify \\ \\ \frac{ \cancel{6}^{3} }{ \cancel{2} ^{1} } \\ so \: a = 3 [/tex]
So final answer is a=3
I hope it is helpful to you...Cheers!___________The value of a in the equation is 3
The equation is given as:
[tex]\frac{a}{a+2} =\frac 35[/tex]
Start by cross multiplying the above equation
[tex]5 \times a = 3 *(a + 2)[/tex]
Simplify each product
[tex]5a =3a + 6[/tex]
Collect like terms
[tex]5a -3a = 6[/tex]
Evaluate the difference
[tex]2a = 6[/tex]
Divide both sides by 2
[tex]a = 3[/tex]
Hence, the result of the equation is 3
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Holly spent a total of $28 to buy candy for his soccer team. He bought chocolate that cost $2 per bag and gummy that cost $3 per bag. There are 12 people on the team and each person only get one snack. x = bag of pretzel y = bag of chip
How many bars of chocolate did Holly buy?
Answer:
8 chocolate bars
Step-by-step explanation:
Please help on both. I’m not sure of my answrs before I submit. Thank u :)
13 5/8 + 9 1/5 in lowest terms
Answer:
22 33/40
Step-by-step explanation:
Answer:
Step-by-step explanation:
Verify the following identity:
[tex]\dfrac{1-\sin t}{\cos^2t}+\dfrac{1}{1-\sin t}=2\sec^2t[/tex]
We will simplify the left hand side of the equation to look like the right
[tex]\displaystyle \frac{1-sin(t)}{cos^{2}(t)} + \frac{1}{1 - sin(t)}[/tex]
taking the LCM
[tex]\displaystyle \frac{[1-sin(t)]^{2} + cos^{2}(t)}{[cos^{2}(t)][1 - sin(t)]}[/tex]
expanding the binomial in the numerator
[tex]\displaystyle \frac{[1 + sin^{2}(t) - 2sin(t) + cos^{2}(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]
Since sin²x + cos²x = 1
[tex]\displaystyle \frac{[2 - 2sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]
factoring out the 2 from the numerator
[tex]\displaystyle \frac{2[1 - sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]
1-sin(t) will cancel out
[tex]\displaystyle \frac{2}{cos^{2}(t)}[/tex]
since cos²(t) = 1/(sec²(t))
[tex]2 sec^{2}(t)[/tex]
which is equal to the right hand side of our given equation.
So we verified the identity!
Answer:
[tex]\rm 2 \sec {}^{2} T[/tex](Verified identity)
Step-by-step explanation:
Please refer to the attachment for calculations.
I hope this helps!
the monthly income of a family is rs 2500 the ratio of the expenditure and saving is 3:2 find amount of saving.
Answer:
The amount of saving is Rs.1000.
Step-by-step explanation:
Solution :
Let the,
>> Expenditure = 3x>> Saving = 2xSo, solving for x.
[tex]{\dashrightarrow{\tt{Expenditure + Saving = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{3x + 2x = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{5x = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{x = 2500 \div 5}}}[/tex]
[tex]{\dashrightarrow{\tt{x = \dfrac{2500}{5}}}}[/tex]
[tex]{\dashrightarrow{\tt{x = \cancel{\dfrac{2500}{5}}}}}[/tex]
[tex]{\dashrightarrow{\tt{x =500}}}[/tex]
[tex]{\star{\underline{\boxed{\tt{\red{x =500}}}}}}[/tex]
Hence, the value of x is 500.
Thus,
>> Expenditure = 3 × 500 = Rs.1500>> Saving = 2 × 500 = Rs.1000[tex] \rule{300}{1.5}[/tex]
Find the roots of the equation
x^2 +7= 2x
express your answer in simplest a +bi form
[tex]x^2+7=2x\\\\\implies x^2 -2x +7 =0\\\\\text{Apply quadratic formula,}~ x =\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{in this case,}~ a = 1, b= -2 ~\text{and}~ c = 7\\\\\\x= \dfrac{-(-2) \pm \sqrt{(-2)^2 -4\cdot 1 \cdot 7}}{2\cdot 1}\\\\\\\implies x =\dfrac{2 \pm \sqrt{-24}}{2}\\\\\\\implies x = \dfrac{2 \pm i\sqrt{24}}2\\\\\implies x =\dfrac{2 \pm i2\sqrt{6}}2\\\\\implies x = \dfrac{2\left(1 \pm i \sqrt 6\right)}2\\\\\implies x = 1 \pm i\sqrt 6\\\\[/tex]
[tex]\text{Hence,}~ x = 1-i\sqrt 6 ~\text{or}~ x = 1+i\sqrt 6[/tex]
What is the final amount if 700 is increased by 4% followed by a further 3% increase?
Answer:
Answer: 749.84
Step-by-step explanation:
• For 4% increment
[tex] = { \rm{ \frac{(100 + 4)}{100} \times 700 }} \\ \\ = { \rm{ \frac{104}{100} \times 700}} \\ \\ = { \rm{728}}[/tex]
• For the 3% increment
[tex] = { \rm{ \frac{(100 + 3)}{100} \times 728}} \\ \\ = { \rm{ \frac{103}{100} \times 728 }} \\ \\ = { \rm{749.84}}[/tex]