Answer:
[tex]d = 8 + 2t[/tex]
Step-by-step explanation:
Given
[tex]Rate = 2km/trip[/tex]
[tex]Base\ Cycle = 8km[/tex]
[tex]d = total\ distance[/tex]
[tex]t = cycles[/tex]
Required
Determine the expression for this scenario
The expression can be derived from:
[tex]Total\ Distance = Base\ Cycle + Rate * Cycles[/tex]
Substitute d for Total Distance and t for cycles
[tex]d = Base\ Cycle + Rate * t[/tex]
Substitute values for Base Cycle and Rate
[tex]d = 8 + 2* t[/tex]
[tex]d = 8 + 2t[/tex]
Write an equation to find the value of x so that each pair of polygons has the same perimeter. Then solve
The Pythagoras Theorem:
the base squared and height squared added is equal to the hypotenuse squared.
so
(x+6)² + (x+3)²= (x+9)²
x²+36+12x+x²+9+6x = (x+9)²
2x²+45+18x=x²+81+18x
x²=36
x=√36
X= 6
now
(x+6)= 12
(x+3)=9
(x+9)=15
haha sorry correct it pls
there are 12 boys and 8 girls in the french club.
1) what is the ratio of boys to girls?
A. 2:5
B. 3:5
C: 2:3
D: 3:2
2) what percent of the members of the french group are girls?
A) 8%
B) 40%
C) 60%
D) 75%
Answer:
1)
D. 3:2
2)
B. 40%
as, no. of girls=8
total no. of students =12+8=20
now,
percentage of girls=no.of girls/total no. of students ×100%
=8/20×100%
=40%
Which of the following represents the factorization of the binomial below?
x² - 121
O A. (x-11)(x-11)
B. (x +11)(x+11)
C. (x +11)(x-11)
D. (X)(x-121)
Answer:
C. (x + 11) (x - 11)
Step-by-step explanation:
x² - 121
= x² - 11²
= (x + 11) (x - 11) (Difference of two squares)
MATHH WHIZZES PLZZZ HELPPPPP!!!!!
Answer:
$7.40
Step-by-step explanation:
785 of 24 is 18.72, 150in = 4.17yrd, 4.117*5 is the minimum whole number that reaches 18.72, 5*1.48=7.40
Answer:
$7.40
Step-by-step explanation:
i dont know how to do geometry like that and i need help on my assignment
Answer:
Step-by-step explanation: Can you ask your teacher? Or no?
In which choice do all three points lie on the same straight line?
A. (0,0) (1, 1) (2, 4)
B. (5, 1) (-3,0) (-1,2)
C. (2, 10) (4.9) (5,8)
D. (0.1) (2,3) (4,5)
Answer:
D) (0,1) (2,3) (4,5)
Step-by-step explanation:
Explanation
Given Points are A(0,1) , B(2,3) , C(4,5)
slope of the AB
[tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{3-1}{2-0} =\frac{2}{2} =1[/tex]
Slope of BC
[tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-3}{4-2} =\frac{2}{2} =1[/tex]
Therefore slope of AB and BC are equal
The three points lie on same straight line
The three points are collinear points
The measures of two sides of a triangle are given {17x-7} and {3x^2+5}. The perimeter of the triangle is 13x^2-14x+12. Find the measures of the third side.
A sweater was on sale at 40% off the regular price. Ella saved $20 by buying the sweater on sale. What was the regular price of the sweater?
Answer:
$60
Step-by-step explanation:
i-ready
If a rectangle piece of dimensions 3 cm x 2 cm is cut from one corner of a rectangular sheet of dimensions 10 cm x 6 cm and attached to it's side projecting out of the rectangle, what will be the change in perimeter of the new shape thus formed?
Answer:
[tex]6\ \text{cm}[/tex]
Step-by-step explanation:
The sides of the larger rectangle are 10 cm and 6 cm.
The sides of the part cut out are 3 cm and 2 cm.
The part cut out is attached to one of the sides of the rectangle.
Perimeter of the new shape will be
[tex]6+7+2+3+2+3+2+13=38\ \text{cm}[/tex]
Perimeter of old shape
[tex]2(10+6)=32\ \text{cm}[/tex]
Change in the perimeter is [tex]38-32=6\ \text{cm}[/tex]
The perimeter of changed by [tex]6\ \text{cm}[/tex].
Find the length of side A
Answer:
D) 4
Step-by-step explanation:
Solve. Show steps. Write the solution set using set-builder notation.
-2<=1-3x<=2
(<= means greater or equal to)
Answer:
< is greater sign and = is equal to sign
In a bag, you have a strip of paper with the numbers 1-10 written on the strips. If one strip of paper is pulled from the bag and then replaced, what is the probability of the following events:
pick a odd number and then a even number.
A: 1/2
B: 1/4
C: 1/5
D: 1/25
Find a probable next term for the sequence 9,20,39,72,125,204,315
Answer:
464
Step-by-step explanation:
The first term is 9.
The difference between the second and first term = 20 - 9 = 11
The difference between the third and second term = 39 - 20 = 19
The difference between the fourth and third term = 72 - 39 = 33
The difference between the fifth and fourth term = 125 - 72 = 53
The difference between the sixth and fifth term = 204 - 125 = 79
The difference between the seventh and sixth term = 315 - 204 = 111
The differences are 11, 19, 33, 53, 79, 111
From the difference: 19 - 11 = 8, 33 - 19 = 14, 53 - 33 = 20, 79 - 53 = 26, 111 - 79 = 32
We can see from the first difference (8), if we add 6 we get 14, if we add another 6 we get 20, if we add 6 we get 26, if add 6 we get 32
We get the eight term using:
32 + 6 = 38
let x be the difference between the eight term and the seventh term, hence:
x - 111 = 38
x = 111 + 38
x = 149
Therefore:
eighth term - seventh term = 149
eighth term - 315 = 149
eighth term = 149 + 315
eighth term = 464
The next probable term is 464
NEED HELP!!! Answer all of the questions below you will see a link, I would give thanks to anyone that can do this:) If anybody needs any information on how to pull it up, there should be a link that says download Docx if that helps.
9514 1404 393
Explanation:
1. You are given the statement "A is B". In "if-then" form, it can be written, "if it is A, then it is B."
If it is broccoli, then it is a vegetable.
__
2. The hypothesis is the "if-" part:
(If) it is broccoli
__
3. The conclusion is the "then-" part:
(then) it is a vegetable
__
4. The converse interchanges the hypothesis and conclusion:
If it is a vegetable, then it is broccoli.
__
5. The converse is false. A potato is a vegetable, but is not broccoli.
__
6. The inverse negates the hypothesis and conclusion:
If it is not broccoli, it is not a vegetable.
__
7. The inverse is false. A potato is not broccoli, but is a vegetable.
__
8. The contrapositive is the inverse of the converse:
If it is not a vegetable, it is not broccoli.
__
9. The contrapositive has the same truth value as the original statement. Here, it the contrapositive is true.
Help! “Ms.Day drew a rectangle on the board with a width of 14 cm and a digo al length of 50 cm. Find the length of this rectangle in centimeters.”
Answer:
length=48cm
Step-by-step explanation:
a²+14²=50²
a²+196=2500
a²=2304
a=48
and fast plzz
will .ark the brainliest
Answer:
[tex]\sqrt[6]{2}[/tex]
Step-by-step explanation:
[tex]\sqrt[4]{\sqrt[3]{2^2}} =((2^2)^\frac{1}{3})^\frac{1}{4}\\\\=(2^2)^\frac{1}{12}\\\\=2^\frac{2}{12}\\\\=2^\frac{1}{6}\\\\=\sqrt[6]{2}[/tex]
If y = -5, what is the value of
2y+2
-
4
Answer:
-12
Step-by-step explanation:
Ok so I'm guessing that's a -4 but if its not, please correct me.
y= -5 is going to be plugged into 2y+2-4
This means that 2(-5)+2-4=?
2(-5) is the equivalent to 2 times -5, which is -10 (you solve multiplication first because order of operations)
Now, 2-4=-2
So using this, let's combine both equations!
-10+-2=?
?=-12
It's a lot of steps but they get easier the more you do them <3
Can someone help me plzzz!!
Answer:
Multiply dno. plus nume. by 2
Step-by-step explanation:
get a base of 100
The local car dealership will approve the purchase of a $32,795
car with a 72 month loan. Enter the length of the car loan in years.
Answer:
?
Step-by-step
Can you be more specific?
Which statements verify that the solution set to |x + 3| < 5 is –8 < x < 2? Check all that apply.
1. Substituting a value into the inequality from the solution set, such as –2, will create a true statement.
2. Substituting a value into the inequality from the solution set, such as 1, will create a false statement.
3. Substituting a value into the inequality not from the solution set, such as 4, will create a true statement.
4. Substituting a value into the inequality not from the solution set, such as 6, will create a false statement.
5. Substituting any value into the inequality will create a true statement.
Answer:
1 and 4
Step-by-step explanation:
Answer:
1 and 4
Step-by-step explanation:
Only true statements out of the option
plz answer my question
Answer:
a its not straight and its negative
Answer:
I'm pretty sure it is nonlinear with negative trend.
Step-by-step explanation:
I think this because the data points are going down so, negative. And linear means "to be in a straight line" which it is not. So the answer would be nonlinear with a negative trend.
Happy to Help :)
What’s the answer to this question ? 4.4y - 5x = -8
what do you want us to solve for? Step-by-step explanation:
Hey guys ( or gals ) I have no idea what to do please help me.
Answer:
Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.
You would have to find a GCF (greatest common factor) and multiply it out of the radical.
ex.
[tex]\sqrt{6}[/tex] = 2 x 2 x 2
when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2
2[tex]\sqrt{2\\}[/tex]
so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.
[tex]\sqrt{11}[/tex]
is an irrational number, so it might fall into 3.3 if turned into a decimal.
Step-by-step explanation:
Suppose y varies directly as x, and y=26 when x=8. Find x when y=65.
Answer:
when y=65, x=20
Step-by-step explanation:
We are given:
y varies directly as x
and y=26, when x=8
We need to find x, when y = 65
y varies directly as x can be written as:
[tex]y\:\alpha \:x\\y=kx[/tex]
Where k is constant of proportionality.
Finding k, when y=26 and x=8
[tex]y=kx\\26=k(8)\\k=\frac{26}{8}\\k=3.25[/tex]
We get the value of k = 3.25
Now, we need to find value of x, when y=65 and k=3.25
[tex]y=kx\\65=3.25(x)\\x=\frac{65}{3.25}\\x=20[/tex]
So, when y=65, x=20
Here are the marks of a student in four exams. 65 80 76 69 The student takes a fifth exam. His mean mark for the five exams is 70 Work out his mark in the fifth exam
Answer:
mark of the fifth exam = 60
Step-by-step explanation:
Mean = sum of all marks / number of exam
Mean = 70
Number of exam = 5
Let x =
Mean = sum of all marks / number of exam
70 = (65 + 80 + 76 + 69 + x) / 5
Cross product
70 × 5 = (290 + x)
350 = 290 + x
350 - 290 = x
x = 60
mark of the fifth exam = 60
Please help ASAP brainliest for correct answer
5.6 litres to nearest 0.5litres
5. The sides of a triangle are in the ratio 4:5:6. What is the length of each side if the
perimeter is 45 cm?
Answer:
12, 15, 18
Step-by-step explanation:
4+5+6 = 15
45/15 = 3
multiply 4 x 3 = 12
multiply 5x 3 = 15
multiply 6 x 3 = 18
8. Write the equation of a line through points (5,5) and (1, 0) in point-slope form.
y = (x - 1)
О
5
y-1= = (x - 1)
y==(x-5)
y-5= -(x - 1)
Answer:
y=5x-7
Step-by-step explanation:
Did this earlier today
A rectangular book measures 3 x 5. What is the length of its
diagonal?
Which is a central idea of the article?
A. Congress passed the Fair Labor Standards Act to protect young workers.
B. Hundreds of thousands of kids work long hours under dangerous conditions on U.S. farms.
C. Reyes has been working on farms in Michigan since he was 9 years old.
D. Worldwide, about 152 million kids ages 5 to 17 are child laborers.
Answer:
a is the right answer Congress passed the fair labor standards act to protect young workers