[tex]{\boxed{ \Huge{ \blue{ \mathcal{{ Answer}}}}}}[/tex]
⇛-7.5(x−3) = 3.75
⇛-7.5x + 22.5 = 3.75
⇛-7.5x = 3.75 - 22.5
⇛-7.5x = -18.75
⇛x = -18.75 ÷ -7.5
⇛x = -18.75/-7.5
⇛x = 2.5
Answer:
2.5
Step-by-step explanation:
-7.5(x-3)=3.75
or, -7.5x+22.5=3.75
or, -7.5x= 3.75-22.5
or, -7.5x= -18.75
or, x= 18.75÷7.5
or, x= 2.5
Today, George is three times as old as his sister Lucy. In two years, Lucy will be half as old as George, How old will George be in two years?
Answer:
In two years, George will be 8 years old.
Step-by-step explanation:
g = 3s
(g + 2) / 2 = a + 2
g + 2 = 2 (s + 2)
g + 2 = 2s + 4
g = 2s + 2
3s = 2s + 2
s = 2
g = 3s
g = 3 (2)
g = 6
6 + 2 = 8
What is the slope of (-2, 3) and (4, -1) in algebraic form?
Answer: The slope is -4/6.
Step-by-step explanation: its y2-y1 over x2-x1
will mark brainly :)
The ____ value of the quadratic function determines whether the parabola opens upward or downward.
a
b
c
x
Answer:
The ___a_ value of the quadratic function determines whether the parabola opens upward or downward.
Answer:
The 'a' value.
Step-by-step explanation:
The general quadradic equation is:
[tex]ax^2 + bx + c; \text{ } a\neq 0[/tex]
If the value of a is greater than 0, then the parabola would open upward. If the value of a is less than 0, then the parabola would open downward.
Hope this helps.
How do you do this question?
Answer:
b=3
Step-by-step explanation:
When multiplying square roots, you multiply numbers inside the radical.
S
[tex] \sqrt{3} \times \sqrt{6} = \sqrt{18} [/tex]
Next, simplify the answer, and you will get
[tex]3 \sqrt{2} [/tex]
giving 3 as your b value.
An algebraic expression is described as 4 less than the product of 16
and the sum of hand 5. What is the value of this expression when
h = 92
Please help me
Answer:
Below in bold.
Step-by-step explanation:
The expression is:-
f(h) = 16(h + 5) - 4
When h = 92:
f(92) = 16(92 + 5) - 4
= 16 * 97 - 4
= 1552 - 4
= 1548.
Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?
The triangle is acute because 22 + 52 > 42.
The triangle is acute because 2 + 4 > 5.
The triangle is not acute because 22 + 42 < 52.
The triangle is not acute because 22 < 42 + 52.
Answer:
The triangle is not acute because 2^2 + 4^2 < 5^2
Step-by-step explanation:
2^2 is side a,
4^2 is side b,
5^2 is side c,
then
c^2 = a^2 + b^2 is right triangle
c^2 > a^2 + b^2 is obtuse
c^2 < a^2 + b^2 is acute
If we insert the numbers into the equation and square them:
c^2 = a^2 + b^2
25 = 4 + 16
25 > 20
This means the triangle is NOT accute, but obtuse
Therefore, it means the triangle is not acute, but obtuse
i.e.,
[tex]a^2 > b^2+c^2\\\\5^2 > 2^2+4^2[/tex]
What is the acute angle?
An angle is formed when two rays meet at a vertex. When this angle measures less than [tex]90[/tex] degree, it is termed an acute angle.
As per the Pythagoras theorem the triangle is acute only if the square of the longest side is less than the sum of the squares of the two smaller sides.
i.e., [tex]a^2 < b^2+c^2[/tex]
where [tex]a,b,c[/tex] are the lengths of the sides of a triangle.
So,
[tex]a^2=5^2\\b^2=2^2\\c^2=4^2[/tex]
Then,
The right triangle is [tex]a^2=b^2+c^2[/tex].
The obtuse triangle is [tex]a^2 > b^2+c^2[/tex]
The acute triangle is [tex]a^2 < b^2 + c^2[/tex]
i.e.,
[tex]5^2 = 2^2+4^2\\\\25=4+16\\\\25 > 20[/tex]
Hence, this means the triangle is not acute, but obtuse.
To know more about the acute angle
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Which fraction is equal to 0.54--
Answer:
27/50
Step-by-step explanation:
Answer:
27/50
Step-by-step explanation:
54 is another way of writing 54 hundredths, or as a fraction, 54/100. Asking for a simplified fraction is asking you to reduce the numerator and denominator by any common terms. 54 and 100 are both divisible by 2, so we get to 27/50. These have no factors in common, so 27/50 is our simplified fraction.
Use the digits 5,4 and 8 once each to write an odd number greater than seven hundred
a canadian football field is 59 meters wide by 137 meters long. if you were to cut across the field diagonally, how far would you walk?
trigonometric ratios review***
Answer:
≈149.1643 [meters].
Step-by-step explanation:
1) according to Pythagorean theorem
[tex]c=\sqrt{a^2+b^2}[/tex] , where a;b are the given length and width,
2) [tex]c=\sqrt{137^2+59^2}=149.1643[m].[/tex]
-3 x 5 x -2y
Help please ✋
Answer:
-3 to 6 powder -2..... good luck
Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university; however, she must pay in euros. How many euros can Varia expect to pay per month to the university? (Round to the nearest whole euro.)
0.7306euros = 1 US dollar
213 euros
2,557 euros
30,685 euros
57,487 euros
Answer:
2,557 euros
Step-by-step explanation:
3500*0.7306=2557.1
Answer
B. 2,557 euros
Step-by-step explanation:
The cost of 5 cans of pinto beans is $3.35.
elps
At this rate, how much do 11 cans of pinto beans cost?
Answer:
About $16.42
Step-by-step explanation:
Since you know the overall price of 5 cans of pinto beans is 3.35, you divide 5 by 3.35, to get the price of one can.
5 / 3.35 = 1.49, giving you the price of one can of pinto beans
You then multiply this number by 11, which gives you 16.42 (rounded)
Hope this helped!
Please answer due really soon thank you! You'll receive 100 points! (Answer all - 5 questions)
Put each number in an algebraic expression (Don't SOLVE them - Put them in a expression - For EXAMPLE. Four less than five times a number - 11 = 5N-4=11)
1. The product of four and a number is negative twelve.
2. Three decreased by the product of six and a number is equal to negative fifteen.
3. Three multiplied by a number increased by four totals one.
4. The negation of the product of five times a number divided by two is ten.
5. One-third of a number less than nine is equal to seven.
When answering you should have 5 expressions.
Answer:
Step-by-step explanation:
1# Answer:
4x=-12
Step-by-step explanation:
Let a number = X
So
The product of four and a number is negative twelve
4x=-12
2#
3 - 6x = -15 is the equation (it says 3 decreased by the product not the product decreased by 3)
#3
[3(-1)]+4=1
(-3)+4=1
#4
#5
The equation is given by:
9-1/3x = 7
Step-by-step explanation:
Let the number be denoted by x.
Now, we are given a word phrase as follows:
One-third of a number less than nine is equal to seven.
Now this word phrase could be mathematically expressed as a equation by:
one-third of x is: 1/3 x
and this number less than 9 is given by:
9-1/3x
Now, this number is equal to 7.
i.e. we finally have:
9-1/3x = 7
1. What is the horizontal and vertical shift for the quadratic function given by f(x) = (x+2) ^2 -4?
PLease help! Im giving brainlyest
Answer:
60
Step-by-step explanation:
horizontal plane = 180
therefore 180 - b + 27 = 180
this will give us the missing inner angle
then we create a linear equation to get the value of b, and since the sum of the inner angles of the triangle = 180
b - 7 + b - 26 + (180 - 27 - b) = 180
b = 60
A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude of 41,000 feet. Model the most fuel-efficient altitudes using a compound inequality.?
A. x ≥ 29,000 and x ≤ 41,000
B. x ≤ 29,000 and x ≥ 41,000
C. x ≥ 41,000 and x ≥ 29,000
D. x ≤ 41,000 and x ≤ 29,000
Answer:
A
Step-by-step explanation:
A is correct because if the minimum is 29,000 feet, x (the airplane altitutude) must be greater than or equal to 29,000 ft. Since the maximum is 41,000 feet, x must be less than or equal to that number.
Graph the line with slope 2 passing through the point (-1, -3).
Answer:
Step-by-step explanation:
Start with the standard equation of a straight line, y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).
We know m, so:
y = 2x + b
Now find b by using the given point (-1,-3)
y = 2x + b
-3 = 2(-1) + b
b = -1
The equation is y=2x-1
Please help me please!! −
2 -2/5x -9 < 9/10 Plsss help!
5
x
−
9
<
9
10
Answer:
Step-by-step explanation:
A person invests 3500 dollars in a bank. The bank pays 5% interest compounded
semi-annually. To the nearest tenth of a year, how long must the person leave the
money in the bank until it reaches 8900 dollars?
r
A = P(1 + )nt
n
Answer: 18.9
A=8900
P= 3500
r = 0.05
n = 2 (semi-annually)
T= 18.9
Please answer my math slope equation
Answer:
The slope is = 11 The equation is y = 11x
Hope this helps!
Step-by-step explanation:
(1, 11 ) (2, 22)
22-11 / 2-1
11/1 = Slope
There is no "b" for this equation.
Write the equation of the line in fully simplified slope-intercept form.
Please help asap. I really need this!!
Answer:
65
Step-by-step explanation:
The cost of a car rental is $40 plus $0.18 per mile. You are on a budget of $67. Write and solve an inequality to find the greatest distance you can drive while staying within your budget.
Answer:
You can pay a maximum of $84.
formula is:
84 = 40 + .22*m
subtract 40 from both sides of this equation to get:
44 = .22*m
divide both sides of this equation by .22 to get:
44/.22 = m
simplify to get:
m = 200
you can go at most 2
Which expression is equivalent to
8
p
−
3
n
+
4
q
−
9
m
Answer:
4p-n+2q-3m
Step-by-step explanation:
:)
What is the fully factored form of 32a3 + 12a2?
4a2(8a + 3)
4a(8a2 + 3a)
12a2(3a + 1)
12a(3a2 + a)
Answer:
The answer is the first one. 4a²(8a+3) Hoped that helped! :)
The population of a nearby town dropped from 7,500 to 6,000 in one year.
What was the percent decrease in the town's population that year?
Answer:
The answer is 20 percent.
Two positive improper fractions are multiplied. Is the product sometimes, always, or never less than 1? Explain.
Answer:
The answer is yes, when two improper fractions is multiplied, the product will always be more than one.
Because when you convert an Improper fraction, the decimal value of it is always more than 1. Thus any improper fraction, added or multiplied with each other the answer will always be more than 1.
Example:
5/ 2 = this is an improper fraction. To convert it into decimal divide the denominator from the numerator
=> 5 / 2
=> 2 1/2
istg whoever made savvas realize i need to have a converstaion with rihgt now i hate it so mcuh
Answer:
Hey :D
Step-by-step explanation:
Need help Fast!!!Part A: Max rented a boat that costs $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.
Write an equation in the slope-intercept form to represent the total rent (y) that Max has to pay for renting the boat for x days. (Hint.....use point slope form...then change to slope-intercept form) (6 points)
Part B: Write the equation obtained in Part A using function notation.(2 points)
(10 points)
Answer:
Part A:
The Standard Form equation of a line has the following formula:
Ax+By=C, where A, B, and C are integers, and A is non-negative.
We will assume that when renting a boat Sam paid fixed cost and rental charge per day.
y = the total rent
x = the number of days
Sam rented a boat at $225 for 2 days would mean:
y = 225 when x = 2 or if we plug into Ax+By=C:
2A + 225B = C since A is non-negative we divide both sides by A
2 + (B/A)225 = C/A
He rents the same boat for 5 days, he has to pay a total rent of $480 means:
y = 480 when x = 5 days
5A + 480B = C since A is non-negative we divide both sides by A
5 + (B/A)480 = C/A
Now we have:
2 + (B/A)225 = C/A
5 + (B/A)480 = C/A
Lets denote s = B/A and t = C/A. Now we can write the following system of equations:
2 + 225s = t
5 + 480s = t
........
click here to see the system of equations solved for s and t
........
s = -1/85
t = -11/17 = -55/85
Now we can go back to:
B/A = -1/85 and C/A = -55/85
A = 85, B = -1, C = -55
The standard equation is:
85x - y = -55
Part B:
Using the equation 85x - y = -55 we solve for y
.......
click here to see the equation solved for y
........
y = 85x + 55
or in function notion y = f(x)
f(x) = 85x + 55
Part C:
The graph of y = 85x + 55 is:
Step-by-step explanation:
Answer:
y = 225/2x + 2
Step-by-step explanation:
please help!!! thanks!!!
Answer:
C
Step-by-step explanation:
Use the quadratic formula to find the roots. Find the factors from the roots, then multiply the factors together.