Answer:
x = 37
Step-by-step explanation:
-6x = -222
Divide each side by -6:
x = 37
Answer: exstract form= 222/5
decimal form= 44.4
mixed number= 44 2/5
Step-by-step explanation:
If p(x)=2x2-1, find p(-3)
A map shows a straight path down a mountain. The path can be plotted on a graph as a straight line, which passes through (2, –1). The equation of the plotted line has a slope of –3.
The situation can be modeled by the equation
Answer:
y=-3x+5
Step-by-step explanation:
y=-3x+c
Substituting x and y values,
-6+c=-1
c=5
Graph the function h (x) = -3x-1.
solve the equation: x^3-2x^2=0
x = 0 and x=2
Step-by-step explanation:
[tex] {x}^{3} - {2x}^{2} = 0[/tex]
[tex] {x}^{2} (x - 2) = 0[/tex]
[tex] {x}^{2} = 0 \\ x = 0[/tex]
[tex]x - 2 = 0 \\ x = 2[/tex]
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Aluminum bronze consists of copper and aluminum, usually in the ratio of 10:1 by weight. If an object made of this alloy weighs 77 pounds, how many pounds of aluminum does it contain?
whats the PERIMETER of this shape?
Answer:
the answer is 130
Step-by-step explanation:
the answer is 130 because to get the perimeter of the figure yo need to add all the sides to get 130. so 9+4+25+7+5+16+8+16+12+4+9+15=130
5 1/10 x 1/6 pls helppp
Answer:
51/60
Step-by-step explanation:
First, I'll convert 5 1/10 into an improper fraction to make it easier to work with. I get 51/10. Then, I multiply the two fractions like so:
51/10 * 1/6 = 51/60
You multiply the numerators (the numbers on top) and the denominators (the numbers on the bottom) separately.
So the answer is 51/60.
El aula 101 y el aula 102 comparten la cartelera
del pasillo. Si el aula 101 usa de su mitad
para mostrar trabajos artísticos, ¿qué fracción
de la cartelera total se usa para mostrar
trabajos artísticos del aula 101?
Answer:
1/2
Step-by-step explanation:
pues el ejercicio te da la respuesta
te dice que el aula usa la MITAD = 1/2 para trabajos artisticos.
respuesta 1/2
The ratio of men to women working for a company is 8 to 5. If there are 273 employees total, how many women work for the company?
Answer:
105 women
Step-by-step explanation:
8 to 5, sooo \/
8x + 5x = 273
13x = 273
x=273/13
x=21
8*21 = 168 men
5*21 = 105 women
(to check we can add 168 and 105 together and make sure we get 273. We do!)
THE ROOM NUMBER OF THE TWO ADJACENT CLASSROOMS ARE TWO CONSECUTIVE ODD NUMBERS IF THE SUM IS 216FIND THE CLASSROOM NUMBERS
Answer:
Step-by-step explanation:
To make sure that you are adding 2 odd numbers, the first one is 2x - 1 and 2x + 1
Their sum is 216
Equation
2x - 1 + 2x + 1 = 216
Solution
2x - 1 + 2x + 1 = 216 Combine like terms on the left
4x = 216 Divide by 4
4x/4 = 216/4 Combine
x = 54
Answer
2x - 1 = 2*54 - 1 = 108 - 1 = 107
2x + 1 = 2*54 + 1 = 108+1 = 109
The two consecutive odd numbers are 107 and 109
Points A and B are 100m apart on a coastline.
B is directly east of A.
A lighthouse is out at sea.
The bearing of the lighthouse is
164 degrees from A and
217 degrees from B
The angle of elevation of the top of the lighthouse from A is 27 degrees.
Find the distance of the lighthouse from A.
Find the height of the lighthouse.
Points A, B and the lighthouse are related by angles of elevation.
The distance of the lighthouse from A is 97.4 mThe height of the lighthouse is 79.9 mFrom the complete question (see attachment), we have:
[tex]\mathbf{\angle A = 164 - 90}[/tex]
[tex]\mathbf{\angle A = 74}[/tex]
[tex]\mathbf{\angle B = 270 - 218}[/tex]
[tex]\mathbf{\angle B = 52}[/tex]
[tex]\mathbf{\angle L = 180 - 74 - 52}[/tex]
[tex]\mathbf{\angle L = 54}[/tex]
(a) The distance between the lighthouse and A
This is calculated using the following sine ratio
[tex]\mathbf{\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}}[/tex]
So, we have:
[tex]\mathbf{\frac{AL}{sin B} = \frac{100}{sin L}}[/tex]
This gives
[tex]\mathbf{\frac{AL}{sin 52} = \frac{100}{sin 54}}[/tex]
Make AL the subject
[tex]\mathbf{AL = \frac{100}{sin 54} \times sin 52}[/tex]
[tex]\mathbf{AL = 97.4}[/tex]
The distance of the lighthouse from A is 97.4 m
(b) The height of the lighthouse
Considering triangle AHL, we have:
[tex]\mathbf{\angle H = 90 + 27 = 117}[/tex]
[tex]\mathbf{\angle A = 74 - 27 = 47}[/tex]
[tex]\mathbf{AL = 97.4}[/tex]
The height is then calculated using the following sine ratio
[tex]\mathbf{\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}}[/tex]
So, we have:
[tex]\mathbf{\frac{AL}{sin H} = \frac{HL}{sin A}}[/tex]
Make HL the subject
[tex]\mathbf{HL = \frac{AL \times sin A}{sin H}}[/tex]
This gives
[tex]\mathbf{HL = \frac{97.4 \times sin 47}{sin 117}}[/tex]
[tex]\mathbf{HL = 79.9}}[/tex]
Hence, the height of the lighthouse is 79.9 m
Read more about elevation and depressions at:
https://brainly.com/question/21137209
Leila Runs at 12 miles per hour. Find the Number of Miles she can travel if she runes for t hours
Answer:
y=12t
Step-by-step explanation:
p=3.25x - x2/40,000 - 3000. find the product on level that produces a maximum profit
Answer:
I am a little bit more about it. the only one who has a great time to time, and I am a very good at the same time, and I will be a good person to person. I am a little while, but it will not have a
Step-by-step explanation:
great day for me to do it, but I think 2 the. follow the instructions for a couple of days. the the the the the other side of things to say, but I think I am going through my head. it will not be able to get the most of the most part, and
The square of 5 is 25 The square of another number is also 25
Answer:
the other answer is -5
Step-by-step explanation:
A candy store need to mix two types of candies, one at $1.20 and the other one at $1.50, to obtain 75 pounds at $1.40 per pound. Use system of linear equations to find how many pounds of each they must mix to obtain what they need.
Answer:
Steps and solution in the attached picture.
Step-by-step explanation:
Steps and solution in the attached picture.
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So I know how to do division and all but I was wondering what’s the fastest way to get the answer since I have to find out how much 90 goes into 810?
Answer:
Well you need to do division. If you want to make it easier you can divide both numbers by 10 and get 9/81. Both will give you 9 as the answer
Answer:
810 devided by 90
Step-by-step explanation:
Fact family
not easy help me please
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
In the number line attached in my attachment,
The red line represents point :
[tex] \dfrac{10}{2} [/tex]The blue line represents point :
[tex] \dfrac{ - 9}{2} [/tex]I hope it helps ~
$5400 at 3.6% compounded continuously for 5 years.
Answer:
A = $6,464.97
Step-by-step explanation:
Given the principal amount of $5,400, and an interest rate of 3.6% compounded continuously for t = 5 years:
Substitute the given values into the Continuous Compounding Formula:
[tex]A = Pe^{r*t}[/tex]
where:
P = principal = $5,400
e ≈ 2.7183 (irrational number)
r = interest rate = 3.6% or 0.036
t = time in years = 5
[tex]A = Pe^{r*t}[/tex]
[tex]A = 5400e^{(0.036*5)}[/tex]
[tex]A = 5400e^{0.18}[/tex]
A = $6,464.97
Therefore, the amount after compounding continuously for 5 years is $6,464.97.
help plsssssssrjeieiedidj
Answer:
C
Step-by-step explanation:
when x=8
and when x= -12
Find the slope of a line parallel to the line y = 7
Answer:
y = 7 is a horizontal line with slope 0
Any parallel line will also have slope 0
Step-by-step explanation:
deon swam 4 kilometers against the current
Answer:
DEON is awesome at swimming
Step-by-step explanation:
good job deon
someone plzzzzzzzzzzzzzzzzzzzzzz
Answer:
3/5
Step-by-step explanation:
Find the area of the parallelogram.
11 cm
20 cm
Consider
x - 3, X < 0
3, x >0
The graph of the functions above is shown.
Answer:
It is true. This is the graph.
20 points (looking for the reasoning) Jayden and Sheridan both tried to find the missing side of the right triangle.
A right triangle is shown. One leg is labeled as 7 centimeters. The hypotenuse is labeled as 13 centimeters.
Jayden's Work Sheridan's Work
a2 + b2 = c2 a2 + b2 = c2
72 + 132 = c2 72 + b2 = 132
49 + 169 = c2 49 + b2 = 169
218 = c2 b2 = 120
Square root 218 equals square root c squared. Square root b squared equals square root 120.
14.76 ≈ c b ≈ 10.95
Is either of them correct? Explain your reasoning.
Answer:
Step-by-step explanation:The problem is very hard to read. When using exponents, please add the "^" in front. For example, is 132 actually 132, or is it 13^2? The right triangle is not shown, so we really don't know which is the hypotenuse. Also be carefull with spacing. Making some assumptions, here is how the answer might look:
Both have the correct formula: a^2 + b^2 = c^2, assuming c is the hypotenuse.
If c is the hypotenuse, then the expression should be:
7^2 + b^2 = 13^2, or
49 + b^2 = 169
I like Sheridan's answer. So let's continue:
49 + b^2 = 169
b^2 = 169-49
b^2 = 120
b = 10.954 . . .
Yep, I'm on Sheridan's side. [That is, unless 72 is 72 and not 7^2, etc.]
Hep help help help hell
Answer:
80/100=0.8
Step-by-step explanation:
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ron goes to a shop to buy some notebooks. the shopkeepers informs him that 2 notebooks would cost $90. can you find the cost of 5 notebooks with the help of unitary method
Answer: $225
Step-by-step explanation:
Each Notebook costs 45 dollars, this can be found by taking the cost of 2 (90$) and dividing it by 2
Now just take the cost per notebook (45) and multiply it by the amount wanted (5) and your total should come out to $225
- Gage Millar, Algebra 2 Tutor
Answer:
$225 = 5 note books.
45 = 1 note book
Step-by-step explanation:
90/2 = $45 EACH
Unitary method means find 1 part first.
Therefore,
1 part = 45
45 x 5 = 225
$225 = 5 note books.
Use either direct or synthetic substitution to evaluate the
following:
f(x)=2x3-2x2+2x-8 for f(1).
Need someone to verify the answer for me so i can know if i get it right or not. thanks<3
x = 100
why?
because,
(76 + 124) ÷ 2 = 200 ÷ 2
= 100
your welcome :)
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