Answer:
5
x
2
+
20
x
−
60
Factor
5
out of
5
x
2
+
20
x
−
60
.
Tap for more steps...
5
(
x
2
+
4
x
−
12
)
Factor.
Tap for more steps...
5
(
x
−
2
)
(
x
+
6
)
Step-by-step explanation:
ANSWER IS =5X2+20X-60
------------------------------
THIS ANSWER IS CORRECT
Sarah spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -9.2°F. Between 9am and noon, the temperature rose 2°F. Between noon and 3pm, the temperature went up 12.1°F. Between 3pm and 6pm, the temperature dropped 5.5°F. What was the temperature at 6pm?
Using a system of equations, it is found that the temperature at 6pm was of -0.6 ºF.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
At 9 am, the temperature was -9.2°F. Between 9am and noon, the temperature rose 2°F, hence the temperature at noon was of -9.2 + 2 = -7.2ºF.
Between noon and 3pm, the temperature went up 12.1°F, hence at 3 pm, the temperature was of -7.2 + 12.1 = 4.9 ºF.
Between 3pm and 6pm, the temperature dropped 5.5°F, hence the temperature at 6 pm was of 4.9 - 5.5 = -0.6 ºF.
More can be learned about a system of equations at https://brainly.com/question/24342899
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In triangle ABC, the measure of angle A is90, the measure of angle B 45 and measure of angle C 45 what is the combined measure of the three angles?
180.....,...........
Step-by-step explanation:
angle A + angle B + angle C = 90+45+45
= 180
Solve for x and round to nearest tenth for both please and Thankyou:)
Answer:
For the first picture, 57.14
For the second picture, 27.04
gary goes to the grocery store to but hot dogs and hamburgers for a cookout. He buys a total of 8 packages for a total of $28.52. A package of hot dogs costs $2.29 and a package of hamburgers costs $5.69.
Answer:
3 hamburger packs
5 hot dog packs
Step-by-step explanation:
Knowing that:
Gary buy ⇒ 8 packages for a total of $28.52
A package of hot dogs costs $2.29 and a package of hamburgers costs $5.69.
Solving:
Let the Hotdogs = HD
Let the Hamburgers = HB
HD + HB = 8
2.29HB + 5.69HB = 28.52
Hotdogs (HD) = 2.29
Hamburgers (HB) = 5.69
Total ( 8) = 28.52
Since we now know that
Hotdogs (HD) = 2.29
Hamburgers (HB) = 5.69
Thus,
2.29x5 = 11.45
5.69 x 3=17.07
17.07 + 11.45 = 28.52
Thus, gray buy
3 hamburger packs
5 hot dog packs
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On a farm there was a cow. And on the farm there were 2 sheep. There were also 3 chickens. What is the total mass of the 1 cow, the 2 sheep, the 3 chickens, and the 1 farmer on the farm?
Make a conjecture about how many ants might be on the farm. If you added all these ants into the previous question, how would that affect your answer for the total mass of all the animals?
What is the total mass of a human, a blue whale, and 6 ants all together?
Which is greater, the number of bacteria, or the number of all the other animals in the table put together?
The total mass of the living things on the farm is 588 kg.
Mass calculationSince on a farm there was a cow, 2 sheep and 3 chickens, to determine what is the total mass of the 1 cow, the 2 sheep, the 3 chickens, and the 1 farmer on the farm, the following calculation must be performed :
(6.2 x 10) + (4 x 10 x 10) + (2 x 6 x 10) + (3 x 2 x 1) = X62 + 400 + 120 + 6 = X588 = XTherefore, the total mass of the living things on the farm is 588 kg.
Learn more about mass calculation in https://brainly.com/question/14695611
Calculate the side lengths of the given scale.
Answer:
x: 4metres
y: 8metres
Step-by-step explanation:
using scale 1:4
x:16 ÷ 4
y: 2×4
A forest has 1260 trees.
The trees are maple, beech or oak.
A fifth of the trees are maple and the number of maple trees is 3 times the number of beech trees.
The rest of the trees are oak.
number of oak : number of beech = n : 1
Work out the value of n .
You must show how you get your answer.
Answer:
[tex]\huge\boxed{\sf n = 11}[/tex]
Step-by-step explanation:
Total trees = 1260 trees
Maple trees:
[tex]\displaystyle = \frac{1}{5} \ of \ total \ trees\\\\= \frac{1}{5} \times \ 1260\\\\= \frac{1260}{5} \\\\= 252 \ maple \ trees[/tex]
Beech trees:
Given that:
Maple trees = 3 × beech trees
=> There are 252 maple trees.
252 = 3 × beech trees
Divide 3 to both sides
252 / 3 = beech trees
84 trees = beech trees
[tex]\boxed{\sf beech \ trees = 84 \ trees\\}[/tex]
Oak trees:
It is said that all other trees are oak trees.
So, oak trees will be:
= total trees - maple trees - beech trees
= 1260 - 252 - 84
= 924 trees
The ratio of oak trees to beech trees:
= 924 : 84
Divide 84 to both sides
= 11 : 1
The question says:
number of oak : number of beech = n : 1
So, from the answer, it is clear that:
n = 11
[tex]\rule[225]{225}{2}[/tex]
Determine if the system has a solution, if so how many?
A) X-y=4 and 2x-2y=1
B)x-4y=0 and2x+4y=3
C)x-2y=1 and 4x-8y=4
PLEASE HELP DUE BY NOON
A) System doesn't have a solution.
x-y=4
2x-2y=1
x=4+y
2(4+y)-2y=1
8+2y-2y=1
8≠1
B) System has one solution.
x-4y=0
2x+4y=3
x=4y
2(4y)+4y=3
8y+4y=3
12y=3
y=1/4
C) Every solution is right for the system.
x-2y=1
4x-8y=4
x=1+2y
4(1+2y)-8y=4
4+8y-8y=4
4=4
2) Michael purchased a used car for $6,150 and had to pay 6.5% sales tax. How much tax
did he pay?
Answer:
$399.75
Step-by-step explanation:
6.5% of $6,150 =
= 0.065 × $6,150
= $399.75
Answer: $399.75
He had to pay $399.75
formula: Tax = Tax Rate * Purchase Price
$6,150 * 6.5%$399.75Chart Rodrigo's total utility for lattes and the marginal utility for the same using information
from the table.
Quantity
Utility
0
14
2
3
4
on ANO
22
28
32
35
5
1)
40
30
Units of Total Utility
20
10
0
1
2
3
4
N
5
Number of Lattés
2)
)
20
15
Units of Total Utility per Latte
10
5
0
1
2
3
4 5
Number of Lattés
The marginal utility is the extra satisfaction derived from the consumption of a product.
How to illustrate the marginal utility?Your information isn't well written. Therefore, an overview of utility will be given. The total utility is the total amount of satisfaction that a consumer derives from a product.
The marginal utility simply means the extra satisfaction that's gotten from a product when an additional unit is consumed.
The formula for marginal utility will be:
= Total utility difference/Quantity of goods difference
Learn more about marginal utility on:
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fully explain why, in general, (a + b)^2 = a^2 +b^2.
No this is not correct identity
(a+b)²(a+b)(a+b)a(a+b)+b(a+b)a²+ab+ba+b²a²+2ab+b²Hence it's wrong
Answer:
Below!
Step-by-step explanation:
Let's simplify each side to determine if both sides are equal.
Left hand side of the equation:
Expression: (a + b)²This expression can be simplified using the rule (x + y)² = x² + 2(x)(y) + y².
⇒ a² + 2(a)(b) + b²When opening the parenthesis, we get;
⇒ a² + 2ab + b²This expression cannot be simplified further as there are no like terms in the expression obtained.
Right hand side of the equation:
Expression: a² + b²This expression cannot be simplified further as there are no like terms in the expression obtained.
Given equation:
(a + b)² = a² + b²This can be rewritten as;
a² + 2ab + b² = a² + b² (False)Therefore, it is impossible for a² + b² to be equivalent to a² + 2ab + b².
Is the function is even, odd or neither? How do you know?
Answer:
Step-by-step explanation:
A function is even if [tex]f(x)=f(-x)[/tex], or if the graph has a rotational symmetry about the x-axis. A function is odd if [tex]f(x)=-f(-x)[/tex]. For example, if you were to reflect that graph about the y-axis. Would it present symmetry?
From the graph we know from the fundamental theorem of Algebra that since f has 3 distinct roots, and changes directions three times, we are dealing with a cubic equation in the form of [tex]f(x)=x(x+2)(x-2)[/tex]
Since the equation is known, try the formulas
First, test for an even function, [tex]f(x)=f(-x)[/tex], this means that for our function, f, [tex]f(2)=f(-2)[/tex] see if this holds true
[tex]2(2+2)(2-2) = -2(-2+2)(-2-2)\\2(4)(0)=-2(0)(-4)\\0 = 0[/tex]
This means that the function is even.
what is the inverse of f(x)=x^2+5
Answer:
[tex]\sqrt{X-5}[/tex], [tex]-\sqrt{X-5}[/tex]
Step-by-step explanation:
Replace X with Y
solve for Y; X = Y^2 + 5
subtract 5 from both sides
X - 5 = Y^2
take the square root
Y = plus or minus sqrt(X-5)
sqrt(X-5); -sqrt(X-5)
1.
The area of a circle is 25m^2, what would be its diameter?
2.
The perimeter of a circle is 30 cm, what would be its radius?
3.
What would be the area of a circle with a perimeter of 12 feet.
HELP
Answer:
1. diameter=5.54m
2. radius=9.55cm
3. area=11.46feet²
Step-by-step explanation:
1. The formula of the area of a circle is: A=[tex]\pi r^{2}[/tex]
A: area of the circle=25m²
[tex]\pi[/tex] : Pi≈3.14
r: radius of the circle= unknown
Solve the equation to find r:
25=(3.14)r²
r²=[tex]\frac{25}{3.14}[/tex] =7.69m²
r= √7.69= 2.77m
diameter d= 2 x r =2 x 2.77 =5.54m
2. The formula of the perimeter of a circle is: P=2[tex]\pi r[/tex]
P: perimeter of the circle= 30cm
[tex]\pi[/tex] : Pi≈3.14
r: radius of the circle= unknown
Solve the equation to find r:
30=(3.14)r
r= [tex]\frac{30}{3.14}[/tex] = 9.55cm
radius r = 9.55cm
3. First we have to find r (radius) from the equation of perimeter:
P=2[tex]\pi r[/tex]
r= [tex]\frac{P}{2\pi }[/tex] = [tex]\frac{12}{2(3.14)}[/tex] = [tex]\frac{12}{6.28}[/tex] =1.91 feet
Substitute r in the equation of area to get the area:
A= [tex]\pi r^{2}[/tex] = 3.14 (1.91)² = 3.14(3.65) = 11.46 feet²
Please Help me ASAP.
Plss help!!
Will give brainliest!!!
Answer:
It's 4
Step-by-step explanation:
2 2/5 - 12/5 (Simplify)
2 2/5 - 2 2/5
0 (Subtract)
(1x0) + 4 (Finish Equation)
0 + 4 (Add)
4 (Done)
Here's a graph of a linear function. Write the
equation that describes that function Express it in slope-intercept form.
Answer:
The answer to the linear function is
y = 1/2x + 4
Please help!!!!!!!!!!!!!!!!!!!!!!
Answer:C
Step-by-step explanation:
Okay so the value of 'a' is 2 so anywhere you see 'a', you substitute its value for 22(5-a)² + 7a2(5-2)² +7×2 2(3²) + 14 (2×9) + 1418 + 1432Answer:
option C
Step-by-step explanation:
Ive attach my work
Hppe it hels, Let me know if you have any questions !
If sin o = -square root 3/2 and pi < o < 3pi/2 what are the values of cos and tan?
Answer:
c
Step-by-step explanation:
Solve for x assuming that the lines are tangent to the circle.
Answer:
x = 5
Step-by-step explanation:
Tangents from a specific point are equal in length.
3x - 7 = 18 - 2x
5x - 7 = 18
5x = 25
x = 5
a circular clock face has a diameter of 7 inches how many inches does the tip of the minute hand travel in a day
Answer:
14π inches
Step-by-step explanation:
Diameter of the clock = 7 × π = 7π
one day = 24 hours which means
2 clockwise turns around the clock
sooo 7π × 2 = 14π
Answer:
527.52 in
Step-by-step explanation:
To answer this question you have to find the circumference of the circle.
You have to use the formula below to find the circumference.
C = π d
Here,
d ⇒ diameter ⇒ 7 in
Let us solve it now.
C = π × d
C = 3.14 × 7
C = 21.98 in
So, the tip of the minute hand is traveling 21.98 in an hour.But they're asked for the distance traveled by the tip of the minute in a day.So, to find that we have to multiply the answer by 24 hours.Let us find it now.
Distance traveled in a day = 21.98 × 24
= 527.52 in
Which statement is true about the given function
PLS help i need this ASAP
Answer:
I beleive your answer would be ∡B
Step-by-step explanation:
A(n) _____ is a tool used to measure or draw angles.
What is the scale factor???
Answer:
I believe your answer is 2 because that is the difference in the width of the cars.
Consider the line y=9x-1.
Find the equation of the line that is perpendicular to this line and passes through the polnt (6, -5).
Find the equation of the line that is parallel to this line and passes through the point (6,-5).
Step-by-step explanation:
Slope=9
i)
[tex]y−y1=m(x−x1)[/tex]
When line is parallel
y+5=9(x-6)
y+5 = 9x - 54
59 = 9x-yWhen line is perpendicular
y+5=-1/9(x-6)
9(y+5)= -1(x-6)
9y + 45 = -x+6
x+9y = -39MARK ME AS BRAINLISTRam spent 1/3 of his salary on food, ,1/4 of his salary on rent and electricity, and 1/20 of his salary on the telephone. Since April -2022 is the month of Ramadan, irrespective of religion and cast Ram has donated 1/10 of his salary to an orphanage and 5000Aed to RCA Charity. He was left with 3000AED with him. What is his monthly salary?
STEP BY STEP PLS
The total monthly salary earned by Ram in the month of April 2022 is an amount of 30000 AED before payments and donations.
How to solve a word problem
Word problems are statements that embody a set of algebraic expressions that offers at least one solution. In this case, we have to read the statement, find the equivalent formula and solve for the resulting variable.
After a careful reading, the statement is equivalent to the following formula:
x = x / 3 + x / 4 + x / 20 + x / 10 + 5000 + 3000
4 · x / 15 = 8000 (1)
Where x is Ram's monthly salary.
The solution of (1) is x = 30000.
To learn more on word problems, we kindly invite to check this verified question: https://brainly.com/question/11240316
Calculate the perimeter of the shape below. Show your work.
Answer:
88 ft
Step-by-step explanation:
The perimeter of a shape is the sum of the lengths of all its sides.
Perimeter of rectangle
= 2(length +breadth)
= 2(18 +26)
= 2(44)
= 88 ft
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Final answer -
[tex]Area \: of \: figure = 60 \: m {}^{2} [/tex]
hope helpful :D
Write an equation in slope intercept form for the like with
y-intercept -4 and slope 6
Answer: y=6x-4
Step-by-step explanation: see attached.
