Answer:
x = 11
Step-by-step explanation:
Perimeter of a triangle = the sum of the three sides.
In an isosceles triangle there is a base and two equal legs
Perimeter = (x) + (5x - 5) = (5x - 5)
111 = 11x -10
111 + 10 = 11x
121 = 11x
[tex]\frac{121}{11} =\frac{11x}{11}[/tex]
x = 11
In a group of dogs and their owners, there are exactly 20 heads and 64 legs. How many dogs are in the group
Answer:
If we assume that everyone in the group is an owner, we would have
[tex]20*2=40[/tex] legs.
[tex]64-40=24[/tex] legs
Therefore, we need 24 more legs.
These 24 additional legs can be made from the difference of legs between the owners and dogs.
In this case, dogs have [tex]4-2=2[/tex] more legs than an owner.
24 ÷ 2 = 12.
There are 12 dogs in the group.
Orion buys 3 books for a total of 25.50. He pays $8 plus sales tax for each book. He wants to know how much the sales tax is for one book.
Let "t" equal the sales tax Orion pays for each book. Write an equation that represents this situation.
The equation that represents this situation is 8 + 3t = 25.50.
How to calculate the value?Let the sales tax for each book be represented as t.
Since Orion buys 3 books for a total of 25.50 and he pays $8 plus sales tax for each book. This will be illustrated as:
Cost of book + Tax = Total amount
8 + (3 × t) = 25.50
8 + 3t = 25.50
Collect like terms
3t = 25.50 - 8.
3t = 17.50
Divide
t = 17.50 / 3
t = 5.83
The sales tax is $5.83.
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Check
Determine the equation for the given line in
slope-intercept form.
y
4.
2
X
O y=-x-1
O y = *x+1
O y = x + 1
Oy=-x-1
-6
-4
-2
2
4
6
-2
Answer:
Step-by-step explanation:
1-4, determine the slope of the line passing through the points whose ... x. +b. Write an equation in slope-intercept form for each line. y=m. hope it helps
Can anyone solve the problem on the picture?
Quotient:
[tex]\dfrac{9x^2 +68x +35}{x+7}\\\\\\=\dfrac{9x^2 +63x +5x +35}{x+7}\\\\\\=\dfrac{9x(x+7) +5(x+7)}{x+7}\\\\\\=\dfrac{(9x+5)(x+7)}{x+7}\\\\\\=9x+5[/tex]
Remainder:
[tex]f(x) = 9x^2+68x+35[/tex]
By the remainder theorem,
[tex]f(-7) = 9(-7)^2 +68(-7) +35 = 441 - 476+35 = 476 - 476 =0\\\\[/tex]
Which is the remainder when f(x) is divided by (x+7)
System of equations pls help me
Answer:
x=6 and y=5
Step-by-step explanation:
We can eliminate the "x" variable by adding the two equations to get 6y=30. This means that y=5.
If we plug y=5 back into one of the original equations:
5x+y=35
5x+5=35
5x=30
x=6
-5x+5y=-5
-5x+5(5)=-5
-5x+25=-5
-5x=-30
x=6
Which confirms that x=6 and y=5 are indeed the correct solutions
Answer:
x=6 ,y=5
Step-by-step explanation:
6y=30,y=5
x=6
woud
Unit 6 Portfolio
Task 1:
Taxi Cab Company A: $8 per ride and $0.35 per mile
• Write an equation in slope intercept form to represent the cost of a
taxi ride using company A.
Hint: use y=mx+b
Y =
• What does the y-intercept mean in the context of this problem?
Hint: What do you pay to step into the cab?
The y intercept means that $8 must be paid to step into the cab.
A linear equation is of the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the total pay for x miles
Since $8 per ride and $0.35 per mile, hence the equation is:
y = 0.35x + 8
The y intercept means that $8 must be paid to step into the cab.
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What is the value of s?
Answer:
17
Step-by-step explanation:
It's a right triangle so you use the Pythagorean Theorem
[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
a and b are the sides and c is always the hypoteneuse, which is the longest side and opposite from the right angle
so [tex]8^{2}[/tex]+[tex]15^{2}[/tex]=[tex]c^{2}[/tex]
64+225=[tex]c{2}[/tex]
289=[tex]c^{2}[/tex] take the square root of both sides to get rid of the squared
[tex]\sqrt{289}[/tex]=c
c=17
Cuanto es 1/3 + 5/8 + 1/2
Answer:
35/24
Step-by-step explanation:
1/3 + 5/8 + 1/2
8/24 + 15/24 + 12/24
Hola!
Primero, debes asegurarte de que todas las funciones compartan el mismo denominador.
4(1/2)= 4/8
1/3 + 5/8 + 4/8
1/3 + 9/8
Ahora necesitamos encontrar un denominador común de 3 y 8.
El mínimo común múltiplo de 3 y 8 es 24.
8(1/3)= 8/24
3(9/8)= 27/24
8/24 + 27/24= 35/24
Entonces tu respuesta es 35/24!!
Lo siento si mi español no es bueno.
HELP ASAP 10 POINTS WILL MARK IF CORRECT
Answer:
To get the slope, we can first mark out any 2 points of the line.
In this case, I will use the point (-2, 0) which will be (x1, y1) and (0, -2) which I will call (x2, y2).
To get the slope, you need to do [tex]\frac{y2-y1}{x2-x1}[/tex]
Substitute these values in:
[tex]\frac{-2-0}{0-(-2)} =\frac{-2}{2} =-1[/tex]
The slope is -1.
An unopened cereal box contains 15/28 cubic foot of cereal. If the box is full, and the length and height of the box are 5/7 foot and 1 1/2 feet, respectively, what is the width of the box?
Answer: the answer is 1/2
Step-by-step explanation:
If complex number z = 3 Left-bracket cosine (StartFraction 3 pi Over 2 EndFraction) + I sine (StartFraction 3 pi Over 2 EndFraction) right-bracket, then complete the statements for z4.
The modulus of z4 would be
The coefficient in front of the argument (or angle) of z4 would be
ANSWER: 81
ANSWER: 4
Answer:
b
Step-by-step explanation:
Answer:a81
b4
Step-by-step explanation:
(X-7)squared
Expand and simplify
Answer:
Step-by-step explanation:
(a - b)² = a² - 2ab +b²
(x - 7)² =x² - 2* x * 7 + 7²
= x² - 14x + 49
This table shows the input and output values for a linear function f(x).
What is the difference of outputs for any two inputs that are one value apart?
A. -5
B. 1
C. 21.2
D. 27.2
Answer:
C
Step-by-step explanation:
The question wants you to calculate f(n)-f(n-1) using the data in the table. This could be done on any of the pairs, but I chose f(0)-f(-1) = 6 - (-15.2) = 21.2, giving us C as the final answer.
y
∝
1
√
x
If
y
=
4
when
x
=
49
find,
x
when
y
=
14
Answer:
x=4
Step-by-step explanation:
[tex]y \alpha \frac{1}{\sqrt{x} } \\or~y=\frac{k}{\sqrt{x} } \\when~x=49,y=4\\4=\frac{k}{\sqrt{49} } \\k=4 \times7=28\\y\alpha \frac{28}{\sqrt{x} } \\when ~y=14\\14=\frac{28}{\sqrt{x} } \\\sqrt{x} =\frac{28}{14} =2\\squaring\\x=2^2=4[/tex]
1. f(x) = x2
• vertex :
• opening of the graph :
• vertex is a ______ point
• equation of axis of symmetry (x=h) :
• range (y≥k) :
Answer:
Step-by-step explanation:
f(x) = x²
1. Vertex ( 0 ,0)
2) a > 0 , opening upward
3) minimum
4) Axis of symmetry : x = 0
5) Range: y ≥ 0
the cost of 6 kg of oranges is rs 540 how many kilograms of oranges can be purchased for rs 720
Answer:
This will clear you
Step-by-step explanation:
Given:-
Cost of 6 kg oranges =540
Cost of 1 kg oranges =540/6
=90
Now,
Orange can be purchased =720-540
=180
Again,
Remaining rupees =180/90
=2
Also,
We can buy oranges = 6kg+2kg
=8kg
If the cost of 6 kg of oranges is rs 540, for Rs. 720, you can purchase 8 kilograms of oranges.
To find out how many kilograms of oranges can be purchased for Rs. 720, we need to calculate the cost per kilogram of oranges.
Given that the cost of 6 kg of oranges is Rs. 540, we can find the cost of 1 kg of oranges by dividing Rs. 540 by 6:
Cost of 1 kg of oranges = Rs. 540 / 6 = Rs. 90
Now that we know the cost of 1 kg of oranges is Rs. 90, we can determine how many kilograms of oranges can be purchased for Rs. 720 by dividing Rs. 720 by the cost per kilogram:
Kilograms of oranges that can be purchased = Rs. 720 / Rs. 90 = 8 kg
So, for Rs. 720, you can purchase 8 kilograms of oranges.
In summary, to find the kilograms of oranges that can be purchased for Rs. 720, we divide the given amount by the cost per kilogram, which is obtained by dividing the cost of 6 kg of oranges by 6. The result is 8 kg of oranges that can be bought for Rs. 720.
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Which expression below is equivalent?
A. 7x+x+8=16x
B. x+x+1+1=2x+2
C. 5(x+3)=5x+5
D. 9x−18=9(x+2)
Lets look at each one:
A. 7x+x+8=16x
This left side will be 8x + 8, so its wrong.
B. x+x+1+1=2x+2
This left side will be 2x + 2, it is right!
C. 5(x+3)=5x+5
This left side will be 5x+15, so its wrong.
D. 9x−18=9(x+2)
This left side will be 9(x-2), so its wrong.
Our answer is going to be B) x+x+1+1=2x+2
x + x = 2x
1 + 1 = 2
2x + 2
I hope this helps! :)
PLZ HELP I Will Give points if you answer correctly No links plz just the answer
Answer:
B.
Step-by-step explanation:
She has created a connection of something physical to express a similar conection with her emotions.
please help I will give 30 points but I need this answer please.
whats the question???
also it says 5 points-
1) Based on the provided chemical and physical properties of the unknown substance. It would be MOST useful as a(n) es A) machinery lubricant. B) heat insulator in a home. internal combustion engine fuel. D) electrical conductor in a computer circuit.
The given properties would be most useful as a machinery lubricant.
How to identify properties of chemical substances?We are given the chemical and physical properties of the unknown substance as follows;
High viscosity at higher temperaturesUnreactive with other substancesLiquid at high temperaturesOrganic compoundPoor conductor of electricityNow, some of the properties of machinery lubricants are;
A high boiling point and low freezing point (in order to stay liquid within a wide range of temperature)A high viscosity index.Thermal stability.Hydraulic stability.Demulsibility.Corrosion prevention.A high resistance to oxidation.These properties of Machinery Lubricants are same as the given properties. Thus, we conclude that the properties would be most useful as a machinery lubricant.
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Complete question is;
High viscosity at higher temperatures
unreactive with other substances
liquid at high temperatures
organic compound
poor conductor of electricity
Based on the provided chemical and physical properties of the unknown substance. It would be MOST useful as a(n)
A) machinery lubricant.
B) heat insulator in a home.
C) internal combustion engine fuel.
D) electrical conductor in a computer circuit.
Please help me thank you
Answer:
sorry but i don't know the answer
A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. On average, when surveyed regarding job satisfaction, teachers give a score of 3. 3 out of 5 with a standard deviation of 0. 6. When the authors of the study interviewed 40 teachers who supplemented with their own materials, they found 3. 5 to be the mean. The authors wanted to know if the group of teachers that could choose supplementary curriculum had a higher level of job satisfaction. They used a significance level of 1%. Which of the following statements is valid based on the results of the test? The data shows that teachers allowed to choose supplementary curriculum for classes are more satisfied with their jobs. The data shows that teachers who were assigned all curricular resources for classes are more satisfied with their jobs. The data shows that there is no difference in job satisfaction between the two groups of teachers. The data shows that the authors cannot make a determination either way with this data.
Answer:the data shows that the authors cannot make a determination either way with this data
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
on edge
Bran walked a total of 16 kilometers by making 4 trips to his grandfather's place. How many trips will Bran have to make in all to walk a total of 28 kilometers?
Bran has to make in all to walk a total of 28 kilometers : 4 x 2 = 8 ( trips )
ok done. thank to me :>
soryy the last time i ask i forgot part b. a.The flywheel on a steam engine rotates 60 revolutions every 15 seconds. What is the flywheel's rate of revolutions per second?
b. The flywheel on a steam engine rotates 60 revolutions every 15 seconds. Identify the unit RATE.
Answer:
A is 4 revolutions per second
B is 4 as the unitrate since 4 it the amount of revolutions it is going per a second.
Step-by-step explanation:
pls brainliest.
How much money will be in an account with an initial investment of $13, 675 at 4.3% interest over 5
years if the interest is compounded annually?
Pls answer the question asap
I would go with Triangle
(Subtract): √125-√45
Answer:
2√5
Step-by-step explanation:
√125-√45
5√5 - 3√5........simplify
2√5....................combine like terms
125 √45
125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2
125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2hope it helps u
Please solve this math problem... I will mark you brainliest
Answer:
22
Step-by-step explanation:
22x2=44
44+15=59
Answer:
22
Step-by-step explanation:
2x22+15 =59°
hope this helps
HELP NEEDED ASAP
Order the numbers from least to greatest
Answer:
-31/6, -/26, -5, -5/6
first choice is the answer
Blake buys a couch for $1000 and sells it for $1200. Calculate his profit as a percentage of the cost price.
Answer:
He earned 200 dollars
Step-by-step explanation:
He got a 20% profit.