Step-by-step explanation:
Total petrol consumption of the journey=
Total distance travelled ÷ Average petrol consumption
[tex] = 280 \div 35 \\ = 8 \: gallons[/tex]
Given 1 gallon = 4.5 litres,
[tex]8 \: gallons \: = 8 \times 4.5 \\ = 36 \: litres[/tex]
Total cost of petrol for this particular journey = Petrol consumed x cost of 1 litre of petrol
[tex] = 4.5 \times 49 \\ = 220.50 \: dollars[/tex]
Simplify fully125y2/10xy
Answer:
12.5y/x
Step-by-step explanation:
125y²/10xy = 12.5y/x
Simplify: –3(y + 2)2 – 5 + 6y
What is the simplified product in standard form?
y2 +
y +
- 17 woule be the correct answer for the equation being simplified
Answer:
For edge
Step-by-step explanation:
The first one is -3
The second one is -6
The last one is -17
If 40% of a number is 112 and 95% of the same number is 266, find 55% of that number.
Answer:
154
Step-by-step explanation:
.4 x 112 = 280
.95 x 266 = 280
.55 x 280 = 154
2.Use the digits given below to make the largest possible number
without repetition off digits. .Then round off nearest ten, hundred and
thousand
a) 2, 5,4 , 3, 6, 7
b) 0 ,9, 8, 7 ,6, 4
Answer:
1)765432
Nearest ten: 765430
Nearest hundred: 765400
Nearest thousand: 765000
2) 987640
Nearest ten: 987640
Nearest hundred: 987600
Nearest thousand: 988000
Not sure if this is what you want.
Sam went to the store to buy some supplies for school. He bought a binder that cost $6.50 and packages of filler paper that cost $1.25 each. If Sam spent a total of $11.50, how many packages of filler paper did he buy? LET p = the number of packages of filler paper
Answer:
4 packages
Step-by-step explanation:
Hi,
1.25x + 6.50 = 11.50
1.25x = 5
x = 4
He bought 4 packages.
I hope this helps :)
thank you for hurrying here is the very last one Explain how you would find the perimeter of this triangle.
Step-by-step explanation:
Use the method of TOA CAH SOH.
[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]
[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]
Perimeter of triangle = Sum of all sides =
[tex]u \: + \: v + 4[/tex]
Answer:
use right angeled triangle method.
(-7,-5) lies in which of the following quadrants [ ]
a) Q1 b) Q2 C) Q3 d) Q4
Answer:
C) Q3
Step-by-step explanation:
Starting from the origin, go along the x-axis in a negative direction (left) and along the y-axis in a negative direction (down).
i need help please this is quite hard for me
if y varies inversely as x, and y =35 when x =14, find x when y =15.
Answer:
[tex]x = 32 \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]
Let's find the value of k first.
When y= 35, x= 14,
[tex]35 = \frac{k}{14} [/tex]
k= 14(35)
k= 490
Substitute the value of k into the equation:
[tex]y = \frac{490}{x} [/tex]
When y= 15,
[tex]15 = \frac{490}{x} [/tex]
15x= 490
x= 490 ÷15
[tex]x = 32 \frac{2}{3} [/tex]
13 p
Roxanna invested $10,000 in an account that earns 8.5% interest that is
compounded monthly. Determine the amount of money in the account in
15 years. (Lesson 7-10b)
Answer:
$35,100
Step-by-step explanation:
Given data
Principal=$10000
Rate= 8.5%
Time = 15 years = 180 months
The expression for monthly compounded interest is
A=P(1+r/12)^t
substitute
A=10000(1+0.085/12)^180
A=10000(1+0.007)^180
A=10000(1.007)^180
A=10000*3.51
A=$35,100
Hence the balance is $35,100
para envasar 600kg de mole en pasta una productora de alimentos utiliza 140 envases ¿cuantos envases se necesitará para 950kg de mole?
Answer:
link respuesta - https://answer-helper.com/mathematics/question21964709
Step-by-step explanation:
Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______ in. Cannot form a triangle.
Answer:
[tex]c = 11[/tex]
Step-by-step explanation:
Given
Let the three sides be a, b and c
Such that:
[tex]a = b= 5[/tex]
Required
Find c such that a, b and c do not form a triangle
To do this, we make use of the following triangle inequality theorem
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
To get a valid triangle, the above inequalities must be true.
To get an invalid triangle, at least one must not be true.
Substitute: [tex]a = b= 5[/tex]
[tex]5 + 5 > c[/tex] [tex]===>[/tex] [tex]10 > c[/tex]
[tex]5 + c > 5[/tex] [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]
[tex]5 + c > 5[/tex] [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]
The results of the inequality is: [tex]10 > c[/tex] and [tex]c > 0[/tex]
Rewrite as: [tex]c > 0[/tex] and [tex]c < 10[/tex]
[tex]0 < c < 10[/tex]
This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)
Any value outside this range, cannot form a triangle
So, we can say:
[tex]c = 11[/tex], since no options are given
Britton simplified an expression and got 1 108 for his answer. If he simplified correctly, which expression did Britton simplify?
Answer:
step-by-step explanation:
first you will have to convert 3/4 into a decimal
which is .75
then you will have to divide 1.5 by .75
which is 2
no you have to divideStep-by-step explanation:
Abby mixed orange paint by using 3 cups of red paint and 9 cups of yellow paint. Zack made his orange paint by mixing 5 cups of yellow paint and 3 cups of red paint. Are Abby's and Zack's mixes proportional? Explain.
what is the value of a and b
(PLEASE HELP)
What is the measure of the unlabeled angle in the triangle below?
A.38
B.40
C.49
D.89
Answer: B. 40
Step-by-step explanation:
We know that a triangle has to equal 180 degrees and we have measurements of two sides 49 and 91 we add those together to get 140 and subtract that from 180 to get you answer of B. 40
Find the value of a in the diagram below:
20
40°
200°
Solve for kkk. \dfrac{3}{k} = \dfrac{4}{5} k 3 = 5 4 start fraction, 3, divided by, k, end fraction, equals, start fraction, 4, divided by, 5, end fraction k =k=
Answer: [tex]\dfrac{15}{4}[/tex]
Step-by-step explanation:
Given
[tex]\Rightarrow \dfrac{3}{k}=\dfrac{4}{5}[/tex]
Apply cross-multiplication
[tex]\Rightarrow K=3\times \dfrac{5}{4}=\dfrac{15}{4}\\\\\Rightarrow k=3\ \dfrac{3}{4}[/tex]
The value of k is [tex]\dfrac{15}{4}\ \text{or}\ 3\ \dfrac{3}{4}[/tex]
Answer:
15/4
Step-by-step explanation:
What is the GCF for 4x^2yz^3 and 12xz^2
Answer:
The great common factor is:
x(2z)²Steps:
given:
4x²yz³12xz²4x²yz³ = 2²x²z²yz
4x²yz³ = x(2z)²xyz
---------------------------------
12xz² = 4×3xz²
12xz² = 2²3xz²
12xz² = x(2z)²3
The great common factor is: x(2z)²
Answer:
4xz^2.
Step-by-step explanation:
GCF of 4 and 12 is 4
GCF of x^2 and x is x.
GCF of z^3 and z^2 is z^2.
one ticket costs $8. if you have $56, how many tickets can you buy?
please show work if it’s possible!!:)
Answer:
7
Step-by-step explanation:
because 56 divided by 8 = 7
or 7 x 8 = 56
hope this helps?
if its right can i have brainlist?
:')?
Answer:
You can buy 7 tickets
Step-by-step explanation:
56 devided by 8 is 7
Help me please I don’t know this stuff
how many times can 82 go into 401
Answer:
4.89 times
Step-by-step explanation:
I hope this helps :)
Answer:
82 can go into 401 four times.
Step-by-step explanation:
82 multiplied by 4 is 328, and if you add another 82, the number would be greater than 401, so the answer is 4 times.
5 - Numbers from 1 to 50 are written on a piece of paper and dropped into a box. A paper is chosen at random
What is the probability of getting a number less than 19? (whole percentage)
%
Answer:
1 out of a 50% chance
Step-by-step explanation:
hope it helps
[tex] 25x { }^{2} + (5x - 3)(2x + 7) - 9[/tex]
Step-by-step explanation:
[tex]5x - 3 \times 7x + 10[/tex]
Answer:
35x² + 29x - 30
Step-by-step explanation:
Given
25x² + (5x - 3)(2x + 7) - 9 ← expand factors using FOIL
= 25x² + 10x² + 29x - 21 - 9 ← collect like terms
= 35x² + 29x - 30
What is the area of the rectangle with the given dimensions? *
The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?
F 6x2 - 9x - 15
G 6x2 - 9x + 15
H 6x + 9x - 15
J 6x - 15x - 9
Given:
The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex].
To find:
The expression that represents the area of the rectangle in simplest terms.
Solution:
Area of a rectangle is:
[tex]Area=Length\times Width[/tex]
The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex]. So, the area of the given rectangle is:
[tex]Area=(2x-5)\times (3x+3)[/tex]
[tex]Area=2x(3x)+2x(3)-5(3x)-5(3)[/tex]
[tex]Area=6x^2+6x-15x-15[/tex]
[tex]Area=6x^2-9x-15[/tex]
Therefore, the correct option is F, i.e., [tex]6x^2-9x-15[/tex].
Help me with this! Will give brainlist!!
Answer:
answer is C i think
Step-by-step explanation:
Answer:
18.85 B
Step-by-step explanation:
Can anyone answer this?
Step-by-step explanation:
a) First we will convert 150km/hr to m/s.
[tex] \frac{150km}{1hr} = \frac{(150 \times 1000)m}{(1 \times 60)s} \\ = \frac{150000m}{60s} \\ = 2500m \: per \: second[/tex]
=2500m/s, which is the initial speed of the plane.
b)Final Speed of plane = Speed when it stopped.
= 0m/s.
c)Time taken to stop = 3 seconds.
d)Using the kinematic equation,
v = u + at,
where v = Final Speed = 0m/s
u = Initial Speed = 2500m/s
a = acceleration
t = time taken = 3 seconds
Substitute v, u and t to find a.
[tex]0 = 2500 + 3a \\ 3a = - 2500 \\ a = - 2500 \div 3 \\ = - 833 \frac{1}{3} \frac{m}{ {s}^{2} } [/tex]
Can someone help me please
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: (-10,-2)
Just multiply the points by 2
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
(-10,-2)
Step-by-step explanation:
reflect the triangle in the mirror line
Answer:
correct me if im wrong bb
5[5y -6] = 4[y -7]
solve the equation by balancing the equation
Answer: 2/21
Step-by-step explanation:
5[5y -6] = 4[y -7]
We first need to open the bracket to be able to solve the question
25y - 30 = 4y - 28
Collect like terms
25y - 4y = -28 + 30
21y = 2.
y = 2/21
Therefore, the value for y is 2/21.