Answer:
x= -3
Step-by-step explanation:
Solve the following system:
{8 y + 4.2 x = 41.8
y - 4.2 x = 19.4
In the second equation, look to solve for y:
{8 y + 4.2 x = 41.8
y - 4.2 x = 19.4
y - 4.2 x = y - (21 x)/5 and 19.4 = 97/5:
y - (21 x)/5 = 97/5
Add (21 x)/5 to both sides:
{8 y + 4.2 x = 41.8
y = 1/5 (21 x + 97)
Substitute y = 1/5 (21 x + 97) into the first equation:
{4.2 x + 8/5 (21 x + 97) = 41.8
y = 1/5 (21 x + 97)
4.2 x + (8 (21 x + 97))/5 = ((168 x)/5 + 776/5) + 4.2 x = 37.8 x + 776/5:
{(37.8 x + 776/5) = 41.8
y = 1/5 (21 x + 97)
In the first equation, look to solve for x:
{37.8 x + 776/5 = 41.8
y = 1/5 (21 x + 97)
37.8 x + 776/5 = (189 x)/5 + 776/5 and 41.8 = 209/5:
(189 x)/5 + 776/5 = 209/5
Subtract 776/5 from both sides:
{(189 x)/5 = -567/5
y = 1/5 (21 x + 97)
Multiply both sides by 5/189:
{x = -3
y = 1/5 (21 x + 97)
Substitute x = -3 into the second equation:
Answer: {x = -3, y = 34/5
Answer:
A) -3
Step-by-step explanation:
I need this answered
g(x)=4x+4
[tex]\:\boxed{\bf{Table}}\:\:\:\\ \boxed{\begin{array}{c|c}{\boxed{\bf x}}&{\boxed{\bf{g(x)}}}\\ \sf -1 &\sf 0\\ \sf 0&\sf 4 \\ \sf 2&\sf 12 \\ \sf 3&\sf 16 \\ \sf 4 &\sf 20\end{array}}[/tex]
a contractor hires 150 men to pave Philip Goldson highway in 30 days. How many men will he hire to do the same work in 20 days?
Answer:
225 men
This conversion leads to the answer:
30 days → 150 men1 days → (150 *30) men1 days → 4500 men20 days → (4500/20) men20 days → 225 menMalini answered 68 problems on a test correctly and received a grade of 80%. How many problems were given on the test, if all problems carried the same number of marks?
Answer:
Below in bold.
Step-by-step explanation:
80% is equivalen to 68 correct answers
1% .. .. .. 68/80 ..
100% ,, ,, ,, (68/80) * 100 = 85 questions.
A farmer needs to construct a square fence with an area of 121 square feet to hold farm animals. how long does each side of the fence have to be to fulfill his 121 square foot requirement?
Answer:
The side length of the square is 11 feet.
Step-by-step explanation:
Let S = side length
Let A = area
[tex]A = S^{2}\\121 = S^{2}\\\sqrt{121} =\sqrt{S^{2} } \\S = 11[/tex]
The speed of light is 299,792.458 .
Which of the following would be a reasonable estimate for the speed of light?
A.
B.
C.
D.
Answer:
a
when you round the number up it becomes 300,000.00
Lin’s family needs to travel 325 miles to reach her grandmother’s house. At 26 miles, what percentage of the trip’s distance have they completed?
Group of answer choices
Alaska, Hawaii and Washington have active volcanoes. Alaska has 43, Hawaii has 5 and Washington has v. If they have 52 active volcanoes in all, how many volcanoes does Washington have?
Answer:
five
Step-by-step explanation:
What to do: Complete each of the following problems involving ladders and walls by using trigonometric functions and inverse trigonometric functions to determine unknown lengths and angle measures.
Questions:
a) A ladder is placed against the wall of a building such that the bottom of the ladder is 3 ft from the bottom of the wall. If the ladder forms a 14 degree angle with the building, how high up the wall does the ladder reach?
b) A 15 foot ladder is leaned against a wall so that the bottom of the ladder forms a 75 degree angle with the ground. How far up the wall does the ladder reach?
c) You need to paint shutters on a window that is on the second floor of your house. You have a 20 foot ladder that you will use. There is a warning on the ladder that states the angle formed by the ladder and the ground must not be less than 70 degrees, or the ladder may slip and cause serious injury or death. You planned on placing the bottom of the ladder 3 feet from the base of the house.
Will the angle formed between the ground and the ladder be safe? What is the furthest possible distance the ladder can be placed to maintain a safe angle?
How you must answer:
- Sketch:
-We know:
-We want
-Rationale: Which ratio will you use and why?
-Solution
How do you answer:
= you must include an accurate sketch
= a statement identifying the known information - we know
= a statement that tells what you are solving for - we want
= the equation you used to solve the problem
Answer:
Step-by-step explanation:
a) x be the height of the wall
[tex]tan \ 14 =\dfrac{opposite \ side}{adjacent \ side}\\\\\\0.2493 = \dfrac{3}{x}\\\\\\x*0.25 = 3\\\\x = \dfrac{3}{0.25}\\\\\\x = 12 ft[/tex]
b) Let y be the hieght of the wall
[tex]Sin \ 75 = \dfrac{opposite \ side}{hypotenuse}\\\\\\0.9659 = \dfrac{y}{15}\\\\\\0.97*15=y\\\\[/tex]
y = 14.6 ft
c) Let the angle formed between the bottom of the ladder to the ground be 'x'
[tex]Cos \x =\dfrac{adjacent \side}{hypotenuse}\\\\Cos \ x =\dfrac{3}{20}\\\\\\Cos \x = 0.15\\\\x = Cos^{-1} \ (0.15)\\\\[/tex]
x = 81°
No, the angle formed between the ground and the ladder is not safe as it is more than 70°
Let the farthest possible distance ladder placed from the wall be 'y'
[tex]Cos \ 70 =\dfrac{adjacent \ side }{hypotenuse}\\\\0.342 = \dfrac{y}{20}\\\\0.3*20=y[/tex]
y = 6 ft
6 ft is the furthest possible distance the ladder can be placed to maintain a safe angle.
question in pic below ;))))
Answer:
The first table
Step-by-step explanation:
If you create a fraction x/y, you will see all of the answers reduce down to -1/4. The other tables don't reduce to the same values.
ratio in simplest form. 300, 30,3,
Answer:
100,10,1
dividing by 3 we get the above answers
The trial balance of pacilio security services, incorporated as of january 1, year 7
A trial balance is a bookkeeping worksheet where the balance of all ledgers are being compiled into the debit and credit column.
What is a trial balance?It should be noted that a trial balance simply means a list of the general ledgers account that are contained in the business ledger.
The rule for the preparation of a trial balance is that the total debit entries must be equal to the total credit entries.
Learn more about trial balance on:
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(show ur work) You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
answer choices
$8 per pound
$35 per pound
$5 per pound
$0.125 per pound
Answer:
8 dollars per pound
Step-by-step explanation:
40 divided by 5 will give you the $/lb
40/5=8 so its $8/lb
Pat was in fishing competition at lake Pisces
Answer:
Hello! Your Question seems to be Incomplete but if you didn't mean to make it that way. I will be Happy to answer it If you repost It. Thanks !
Step-by-step explanation:
Have a good day!
Which graph represents the solution to 7x < 21 or 6x – 9 > 21?
3
4
5
6
8
+
6
3
-2
-1
0
1
2
3
4
3
7
8
de
7
6
-5
4
3
-2
0
1
2
4
5
6
7
8
2
-1
0
1
2
6
Answer:
3 and 2 is the right answer and others are rongh
the quotient of 40 and 5
Answer:
8
Step-by-step explanation:
Taking the quotient of two numbers means you are dividing one by the other. In this case, 40 is the dividend, and 5 is the divisor. This gets you 40/5=8 as the quotient.
If you multiply the quotient with the divisor, you get the dividend, as 8*5=40
In a diagram showing two parallel lines cut by a transversal, the measure of two same-side interior angles are both given as 5x°.
Without writing and solving an equation, can you determine the measures of both angles? Explain.
Because same-side interior angles are , and because these two angles are equal, each angle must be one-half of °, or each angle must have a measure of °.
Please help fast I’ll give Brainy
Answer:
See below.
Step-by-step explanation:
Because same-side interior angles are supplementary, and becasue these two angles are equal, each angle must be one-half of 180°, or each angle must have a measure of 90°.
A parallelogram is shown. The length of the sides are 5 units and the length of the top and bottom segments are 8 units. A diagonal is drawn from one point to the opposite side. The length of the diagonal is 11 units.
Using Heron’s formula, calculate the area of the parallelogram to the nearest tenth of a square unit.
Area ≈
square units
Using the Heron's formula, the area of the parallelogram is 36.7 square units.
How to use Heron's formula?Heron's Formula = √[s(s - a)(s - b)(s - c)],
where,
a, b, and c = side of the triangles = semi perimeter of the triangleArea of the parallelogram = 2(area of triangle)
Therefore,
The area of the triangle can be found using Heron's Formula
a = 5 units
b = 8 units
c = 11 units
s = 5 + 8 + 11 / 2 = 12 units
area of triangle = √[12(12-5)(12 - 8)(12 - 11)]
area of triangle = √12 × 7 × 4 × 1
area of triangle = √336
area of triangle = 18.3303027798
area of triangle= 18.33 units²
Therefore,
area of parallelogram = 2(18.33) = 36.6606055596
area of parallelogram = 36.7 unit²
learn more on Heron's formula here:https://brainly.com/question/12771530
The correct answer is 36.7 square units
Math
What are the zeros of g(x) = x(x2 – 25)(x2 – 3x – 4)?
Answer:
The zeros are -5, -1, 0, 4, 5.
Step-by-step explanation:
x(x2 – 25)(x2 – 3x – 4) = 0
x(x - 5)(x + 5)(x + 1)(x - 4) = 0
so either x or the other 4 factors can be 0 :
x = 0, x - 5 = 0, x + 5 = 0, x + 1 = 0 or x - 4= 0, giving:-
x = 0, 5, -5, -1, 4.
just more and more of these.
⇒ ANSWER : x = 0, x = 5, x = -5, x = 4 and x = -1
EQUATION GIVEN: g(x) = x(x2 – 25)(x2 – 3x – 4)
1) factorize the equation
g(x)=x(x-5)(x+5)(x²-3x-4)
2) expand the equation
g(x)=x(x-5)(x+5)(x²+x-4x-4)
3) factorize
g(x)=x(x-5)(x+5)(x(x+1)-4(x+1))
4) factor out x+1
g(x)=x(x-5)(x+5)(x-4)(x-1)
5) equate to 0
x(x-5)(x+5)(x-4)(x+1)=0
6) solve for x
x = 0, x = 5, x = -5, x = 4, x = -1
Pain.
Is 5 + 3(1 - x) equivalent to 8 - 8x?
Answer:
No, 5 + 3(1 - x) is NOT equivalent to 8 - 8x.
Step-by-step explanation:
To see if they are equivalent to each other, we first need to simplify the first expression:
5 + 3(1 - x)
Distribute the 3 into the parenthesis:
5 + 3 -3x
Combine like terms:
8 - 3x
No, 5 + 3(1 - x) is NOT equivalent to 8 - 8x.
What is the equation of the line that has a slope of -2 and passes through the point (1,2)
What is the answer elmo wants it
[tex]\bold{Heya!}[/tex]
→ Answer :-[tex]\sf{= 10}[/tex]
→ EXPLANATION :-Convert mixed numbers to imporved fractions: [tex]\sf{3 \frac{3}{4} = \frac{15}{4}[/tex]
[tex]\sf{= \frac{15}{4}[/tex] ÷ [tex]\sf{\frac{3}{8}[/tex]
Apply the fraction rule: [tex]\sf{\frac{a}{b}[/tex] ÷ [tex]\sf{\frac{c}{d} = \frac{a}{b} \: x \: \frac{d}c}[/tex]
[tex]\sf{= \frac{15}{4} \: x \: \frac{8}{3}[/tex]
Multiply fractions: [tex]\sf{\frac{a}{b} \: x \: \frac{c}{d} = \frac{a \: x \: c}{b \: x \: d}[/tex]
[tex]\sf{= \frac{15 \: x \: 8}{4 \: x \: 3}[/tex]
Multiply the numbers: [tex]\sf{ 4 \: x \: 3 = 12}[/tex]
[tex]\sf{= \frac{110}{12}[/tex]
Divide the numbers [tex]\sf{\frac{120}{12} = 10[/tex]
[tex]\sf{= 10}[/tex]
Hopefully This Helps! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Jaceysan ~
Jon is taking a 625 mile trip. On the first day, he drove 183 miles.
How many more miles does he have to drive?
part b
Type and solve an equation to find how many more miles Jon has left to drive.
part A Verify your solution.
Part A: Jon has 442 miles left to drive.
ex: 625 - 183 = 442
The tree diagram represents an experiment consisting Of two trials. . 3,. 7,. 2,. 8 p(D)
Please help
Answer:
0.65
.6 x .5 + .7 x .5 = 0.65
Step-by-step explanation:
The average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7. What number is left out? B8 C 10 A 7 D 12
The left out number is 12 if the average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
Let's suppose the number of sum is x when mean is 8
[tex]\rm \dfrac{x}{5} = 8[/tex]
x = 40
Now one number is left out, mean become 7 let's suppose the sum is y.
[tex]\rm \dfrac{y}{4} = 7[/tex]
y = 28
So, the number = 40 - 28 = 12
Thus, the left out number is 12 if the average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.
Learn more about the mean here:
https://brainly.com/question/22871228
#SPJ1
which name gives the most information about the shape below
Rhombus
Trapezoid
quadrilateral
Parallelogram
Consider the following Polynomial -2a^3b^z+5ab^5+7b^4+8
a. Find the degree of the polynomial
1.5
2.6
3.15
b. Find the leading coefficient of the polynomial
1.-2
2.5
3.7
4.8
c. Find the constant term of the polynomial
1.-2
2.5
3.7
4.8
d. Find the leading term of the polynomial
1.-2a^3 b^2
2.5ab^5
3.7b^4
4.8
#a
Degree is the highest power
here it's 5#b
Leading coefficient is 7
#c
Constant term is 8 (which doesn't contain variables)
#d
Leading term is term with highest power
5ab⁵You fill the entire fish tank with water. Then you dump out some of the water. The volume of the water in the tank decreases by 96 cubic inches. How deep is the water now? (The height is 12 inches, the base is 48)
Answer:
1. 6/10 – 2/5 =
Ans: 2/10, which can be reduced to 1/5.
2. If a tank is 5/8 filled with solution, how much of the tank is empty?
Ans: 3/8 of the tank is empty. Since the whole tank would equal 8/8, or 1, and 5/8 of it is filled, then that
means 3/8 of it remains empty.
3. 1/2 x 3/5 x2/3 =
Ans: 6/30, which can be reduced to 1/5.
4. 5/9 ÷ 4/11 =
Ans: 55/36. You cannot reduce this fraction any further.
5. Convert 27/4 to a decimal.
Ans: 6.75. This answer is arrived at by dividing 4 into 27.
6. Convert 0.45 to a fraction.
Ans: 45/100, which can be reduced to 9/20.
7. 4.27 x 1.6 =
Ans: 6.832
8. 6.5 ÷ 0.8 =
Ans: 8.125
9. 12 + 4.52 + 245.621 =
Ans: 262.141
Step-by-step explanation:
I hope this helps
Bob did a survey asking adults which pet they wished they had as a kid. The results are below. If 720 adults said the pet they wished they had was a dog, how many adults wished they had a rabbit?
Answer: there iis none so cose zero
Step-by-step explanation:
Bob did a survey asking adults which pet they wished they had as a kid. The results are below. If 720 adults said the pet they wished they had was a dog, how many adults wished they had a rabbit?
7 whole number 2/3 -4 5/6 + 2 3/8
HELP ASAP PLS the area of the circle is 64 pi square cm what is the radius of the circle in cm
Answer:
8cm
explanation:
let radius of circle be r
area of circle = 64π cm^2
π×r^2=64π
r^2=64 (cancel out π from both side)
r=√64 ( square root both side to remove the power from r)
r=8 cm
