let's firstly convert the mixed fraction to improper fraction and then proceed.
[tex]\stackrel{mixed}{2\frac{3}{5}}\implies \cfrac{2\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{13}{5}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{array}{ccll} liters&hours\\ \cline{1-2} \frac{13}{5}&\frac{2}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~\frac{13}{5} ~~}{x}~~ = ~~\cfrac{~~\frac{2}{4} ~~}{1}\implies \cfrac{~~\frac{13}{5} ~~}{\frac{x}{1}}~~ = ~~\cfrac{2}{4}\implies \cfrac{13}{5}\cdot \cfrac{1}{x}=\cfrac{1}{2} \\\\\\ \cfrac{13}{5x}=\cfrac{1}{2}\implies 26=5x\implies \cfrac{26}{5}=x\implies 5\frac{1}{5}=x[/tex]
what is negative five u to the second power plus ten u too the second power e
Answer:
5u²Step-by-step explanation:
[tex]-5u^2+10u^2=(-5+10)u^2=5u^2[/tex]
The first step in the process for factoring the trinomial x^2-4x-32 is to:
Answer:
6/7
Step-by-step explanation:
because it not that kid
2.7% of X equals 50,000. what is X?
don't give fake answers just for points YOU WILL BE REPORTED
Answer:
x = 1851851.851....
Step-by-step explanation:
Given statement:
2.7% of x equals 50,000.
When we convert the statement into an equation, we get;
⇒ 2.7% × x = 50,000
A percentage is always written as (Percent)/100 in fraction form. Thus;
⇒ 2.7/100 × x = 50,000
Using cross multiplication:
⇒ 2.7 × x = 50,000 × 100⇒ 2.7 × x = 5,000,000To determine the value of x, we need to isolate it. This can be done by dividing the cooeficient of x both sides.
Divide both sides by 2.7
⇒ (2.7 × x)/2.7 = 5,000,000/2.7⇒ x = 1851851.851....Answer:
Percent in decimal form:
[tex]\sf 2.7\% = \dfrac{2.7}{100} = 0.027[/tex]
Therefore:
27% of X = 50000
[tex]\sf \implies 0.027 \cdot X=50000[/tex]
[tex]\sf \implies X=\dfrac{50000}{0.027}[/tex]
[tex]\sf \implies X=\dfrac{50000 \times 1000}{0.027 \times 1000}[/tex]
[tex]\sf \implies X=\dfrac{50,000,000}{27}\quad \textsf{(as a fraction)}[/tex]
[tex]\sf \implies X=1,851,852\quad \textsf{(nearest whole number)}[/tex]
A sporting goods company near the beach rents bicycles for $10 plus &5 per hour. Write an equation in
slope-intercept form that shows the total cost, y, of renting a bicycle for x hours. How much would it cost
Emily to rent a bicycle for 6 hours?
Answer:
It will cost Emily $40 to rent the bike for 6 hours.
Step-by-step explanation:
SOLUTION:
Total cost equals = (cost per hour × number of hours) + initial bike cost.
Let, y be total cost and x = renting a bicycle for x hours.
y=5x+10
To calculate Emily's cost for 6 hours, let x=6.
y=5(6)+10
y=30+10
y=40
It will cost Emily $40 to rent the bike for 6 hours.
Solve 8x + c = kfor x.
A. X = 8(k+c)
B. x = k-c/8
C. x = k+c/8
D. X = 8(k- c).
Caroline was out at a restaurant for dinner when the bill came. Her dinner came to $22. After adding in a tip, before tax, she paid $25.08. Find the percent tip.
Caroline paid 14% of the cost of the dinner as a tip.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Extra pay or tip = 25.08 - 22
= $3.08
Now,
Percentage of tip corresponding to the bill amount,
= 3.08 / 22 × 100
= 14%
Thus, Caroline paid 14% of the cost of the dinner as a tip.
Learn more about percentages here:
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#SPJ2
If 140 seventh graders were
surveyed about their favorite
sports, find the actual number
of students that chose each
sport.
Soccer -
Volleyball -
Football -
Basketball -
Answer:
i will prefer fotbal and socer
Step-by-step explanation:
13 over 11 equals 4 over u
Answer:
u = 44/13
Step-by-step explanation:
Step 1. Cross multiply
Step 2. Simplify each side
Step 3. Isolate variable
[tex]\frac{13}{11} =\frac{4}{u}[/tex]
[tex]13u=(4)(11)[/tex]
[tex]13u=44[/tex]
[tex]u=44/13[/tex]
BRAINLIEST please if this helped!solve using quadratic formula pls show work
Answer:
[tex]x=\frac{3}{8},\:x=0[/tex]
Step-by-step explanation:
[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}}{2\cdot \:8}[/tex]
[tex]\sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}[/tex]
[tex]=\sqrt{3^2-4\cdot \:8\cdot \:0}[/tex]
[tex]\sqrt{3^2}[/tex]
3
[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \:3}{2\cdot \:8}[/tex]
Separate the solutions:
[tex]x_1=\frac{-\left(-3\right)+3}{2\cdot \:8},\:x_2=\frac{-\left(-3\right)-3}{2\cdot \:8}[/tex]
[tex]x=\frac{3}{8},\:x=0[/tex]
Write the inequality that represents the a-values highlighted on d)
Answer:
X is less then or equal to -3
Y is greater then 1
Step-by-step explanation:
Hole circle means greater then or equal to
No hole circle means greater then or less then
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
The formula for the area of a triangle is Area = 1/2 x base x height.
The base is given as 11 yards and the height is the dashed line given as 5 yards.
Area = 1/2 x 5 x 9 = 22.5 square yards.
Of 20 people who drink coffe 12 don’t put sugar what fraction would represent the people that use sugar in there coffee
Answer:
Fraction 8/20
Step-by-step explanation:
So only 12 people don't use sugar so if we were to put a fraction for people who don't put sugar then it would be.
12/20
The 20 stands about how many people their are and the 12 stands for how many people don't put sugar.
So now we are supposed ot do peope who put sugar so it would look like this
8/20
How I got the 8 is that I took the 20 people and subtrack it with the people who don't get sugar which is 8 and 8 people use sugar so theirs our answers.
8/20
read above please :D
Which equation represents the addition problem shown below?
Two charts are given. 88 out of 100 squares are shaded in the 1st chart. 4 out of 10 bars are shaded in the 2nd chart.
A.
78
100
+
4
10
=
82
100
B.
82
100
+
3
10
=
1
18
100
C.
88
100
+
4
10
=
1
28
100
D.
88
100
+
4
10
=
1
32
100
It's
88/100 for 88 out of 1004/10 for 4 out of 10Add
88/100+4/1088+40/100128/1001.28Answer: i just need potins
Step-by-step explanation:
Myra took a math quiz last week. There were 30 problems on the quiz and Myra answered 60% of them correctly. How many problems did Myra get correct?
Which statements are true about x? Select three options.
The element x is an illustration of sets and the true statements about x are: x ∈ B ∪ C, x ∈ B ∩ C and x ∈ A ∪ C
How to determine the true statements?From the Venn diagram in the complete question, we have the following highlights:
Element x is present in set BElement x is present in set CThe above means that:
The element is a common element in the intersection of sets B & C and in the union of sets B & C.
This is represented as:
x ∈ B ∪ C and x ∈ B ∩ C
Also, we can say that the element is a common element in the union of sets A & C and in the union of sets A & B.
This is represented as:
x ∈ A ∪ B and x ∈ A ∪ C
Hence, the true statements about x are: x ∈ B ∪ C, x ∈ B ∩ C and x ∈ A ∪ C
Read more about sets at:
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Darren has 1.14 pounds of meat. He uses 0.19 pound of meat to make one hamburger. How many hamburgers can Darren make with the meat he has?
Answer:
6 burgers
Step-by-step explanation:
1.14/9 = 6
you ordered 7.48 worth of food at sonic before tax . if tax is 7% , how much tax will you pay and whats the total .
Answer:
Tax = $0.5236
Total = $8
Step-by-step explanation:
$7.48 * 0.07(tax rate) = $0.5236
$0.5236 is the add-on tax you will pay at a rate of 7%
Simply add $0.5236 to your bill before tax of $7.48 to find your total of $8.0036
8.0036 is too low to round to a monetary value, so in total you would pay
approximately $8
I DO NOT KNOW HOW TO SOLVE THIS PROBLEM CAN SOMEBODY HELP ME
Answer:
I’m pretty sure the vertex is -5,-4
The axis of symmetry:-5
The graph has a minimum point and not a maximum.
Step-by-step explanation:
jack is a single-father of two children. he earns a net income of $3000 each month and is considering getting a second job to make end meet. his grocery shopping methods are erratic with random tips throughout the week. he typically spends $600 a month on food. what percent of his bet income is going toward food? should he consider budgeting more or less for groceries
Answer:20%
Step-by-step explanation:
Solution for 600 is what percent of 3000:
600:3000*100 =
( 600*100):3000 =
60000:3000 = 20
Now we have: 600 is what percent of 3000 = 20
Question: 600 is what percent of 3000?
Percentage solution with steps:
Step 1: We make the assumption that 3000 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that $100%=3000.
Step 4: In the same vein, x%=600.
Step 5: This gives us a pair of simple equations:
$100%=3000(1).
x%=600(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100% / %=3000/600
Step 7: Taking the inverse (or reciprocal) of both sides yields
x%/100%=600/3000
--->=20%
Therefore, $600 is $20% of $3000.
What value will make the equation below true? Equation: -2.1- ? = -1.50
Answer:
? = −0.6
Step-by-step explanation:
If you preform the opposite operation, you get what ? equals.
-2.1 + 1.50 = -0.6
What is the volume of the following rectangular prism?
Step-by-step explanation:
green = surface area
Volume = 9/5 × 2/3
= 1.2 unit³
needing help with this trigonometry
Answer:
x = 7.2
Step-by-step explanation:
x is the hypotenuse
applies cosine
[tex]cos(33^{o} )=\frac{6}{x}[/tex]
[tex]x=\frac{6}{cos(33^{o} )} =7.154[/tex]
Round to the nearest tenth:
x = 7.2
Hope this helps
Store Trash manufactures trash cans that are open at the top and do not have lids. The company’s engineers are designing a trash can that has a total volume of 7.85/cubedft. They are deciding between a rectangular prism-shaped trash can with base dimensions of 1.5 ft X 2.0 ft and a cylindrical trash can with a base area of 3.14/squaredft. The material used to manufacture the trash cans costs $3.60 per square foot. Which trash can design will cost the company less to manufacture and by approximately how much?
a) cylindrical trash can by $2.47.
b) cylindrical trash can by $8.89.
c)rectangular prism trash can by $0.50.
d) rectangular prism trash can by $3.96.
Does (1, 7) make the inequality y ≤ 3x + 4 true?
Answer:
Yes
Step-by-step explanation:
Plug in 1 for x and 7 for y.
7 ≤ 3(1) + 4 ⇒ 7 ≤ 7
≤ means less than or equal to
The diameter of a circle is 22 miles. What is the circle's area?
Use 3.14 for л.
square miles
Answer:
379.94 cm2 correct me if im wrong
a A boy on top of a water tank 16.5 m high observed a plate on the ground at an angle of depression of 27,5°. Calculate the distance from the top of the tank to the plate to the nearest whole number.
Answer:
24m
Step-by-step explanation:
The distance from the top of the tank to the plate is the hypotenuse of the right angled triangle
[tex] \sin( \alpha ) = \frac{opp}{hyp} [/tex]
[tex] \sin(27.5) = \frac{16.5}{x} [/tex]
[tex]0.6992 = \frac{16.5m}{x} [/tex]
[tex]x = \frac{16.5}{0.6992} [/tex]
[tex]x = 23.59m[/tex]
[tex]x = 24m \: (nearest \: \: metres[/tex]
Identify the algebraic description that maps a point (3, 7) onto another point (-5, 7).
A) (x,y) → (x-8, y)
B) (x,y) → (x, y - 8)
C) (x, y) → (x, y + 8)
D) (x,y) → (x+8, y)
Answer:
A) (x, y) → (x - 8, y)
Step-by-step explanation:
(3, 7) → (-5, 7)
Without adding or subtracting any values, we can immediately tell that the y-value did not change, but the x-value did. With this, we are left with choices A and D.
A) (x, y) → (x - 8, y)
(3, 7) → (3 - 8, y)
(3, 7) → (-5, 7)
This matches our problem, and therefore, A is the correct answer.
Hope this helps!
Answer:
A) (x, y) → (x-8, y)
Explanation:
Present Point: (3, 7)
Future Point: (-5, 7)
The change be: (x, y)
Solve:
(3, 7) + (x, y) → (-5, 7)
change side
(x, y) → (-5, 7) - (3, 7)
simplify the following
(x, y) → (-8, 0)
Therefore, we identify this using (x - 8, y)
Which system of linear equations can be solved using equation [x y] = [1/4 3/4 1 2] [28 -12]
-8x+3y=28
4x-y=-12
Step-by-step explanation:
Let's find x and y from matrices and then check for this systems.
[tex]\left \[[ {{\frac{1}{4} *28-\frac{3}{4}-12 } \atop {1*28-2*12}} \right.][/tex]
Simplify, so we got
7-9
28-24
------
So x=-2
y=4
So we need to put those values and check system.
John and Maria are spending the afternoon hiking in the desert. They purchased six bottle of water for $9.00, two protein bars for lunch for $5.00, and some peanuts for $3.00 as a snack. Supposed they started hiking at 11:30 A.M. and finished the hike at 3:30 PM what is the unit rate of money spent on hours hiked?
Answer:
There are two people who need Brainliest so PLEASE give it to the other person!!!
Step-by-step explanation:
They have the write answer btw- I hope this helps! :) (I am doing this so they can get the Brainliest)