Answer:
y/2 = 9
In order to find the value of y, we must first isolate y by performing inverse operations.
Right now, y is being divided by 2, so the inverse operation of division is multiplication.
So we multiply by 2 on both sides:
y/2 = 9
*2 *2
2/2y = 18
y = 18
the area of a rectangle is 30 to the square root of 3750 square inches, and the length is 3 to the square root of 250 inches. what is the width of the rectangle?
We are given that:
Area of rectangle is 30√3570Length of the rectangle is 3√250Area of rectangle is given by:
[tex] \implies\quad{\pmb{ \sf{Area = length\times width}} }[/tex]
Hence, putting the values in the formula:
[tex] \implies\quad \sf{ A = l\times w}[/tex]
[tex] \implies\quad \sf{ 30\sqrt{3750}=3\sqrt{250}\times w}[/tex]
[tex] \implies\quad \sf{3\sqrt{250}\times w = 30\sqrt{3750} }[/tex]
[tex] \implies\quad \sf{ w =\dfrac{30\sqrt{3750}}{3\sqrt{250}}}[/tex]
[tex] \implies\quad \sf{ w =10\dfrac{\sqrt{3750}}{\sqrt{250}}}[/tex]
[tex] \implies\quad \sf{ w = 10\times\sqrt{\dfrac{3750}{250}}}[/tex]
[tex] \implies\quad \underline{\underline{\pmb{\sf{ w =10\sqrt{15}}}}}[/tex]
An airplane on autopilot took 5 hours to travel 3540 kilometers. What is the unit rate for kilometers per hour?
Answer:
708 km.
Step-by-step explanation:
3540/5=708
Answer:
708 km/h
Step-by-step explanation:
3540 / 5 = 708
Find the area of the figure. (Sides meet at right angles.)
2 ft
2 ft
\ ft
bft
8 ft
8 ft
4 ft
8 ft
Answer:
44 ft²Step-by-step explanation:
A1 = 2(5 x 2) = 20
A2 = 8 x 3 = 24
total = 20 + 24
= 44 ft²
Mr & Mrs Brown bought a new kitchen table for $450 it was 75% of the original price determine the original price of the kitchen table
Dana is making a seating chart for an awards banquet. There are 120 people coming to the banquet.If 8 guests can be seated at each table, how many tables will be needed for seating for the awards banquet?
Note: enter your answer and show all the steps that you use to solve this promblem in the sentence below.
At the halftime show, a marching band in formation. the lead drummer started a point with coordinates (-2,-5) and move 3 steps up and 1 step right.
A. Write a rule to describe it the translation.
B. What were the coordinates of the drummer's final position?
Answer:
a) The answer is: (x + a, y + b)
b) The answer is: (-1, -2)
The initial coordinates are:
(x, y) = (-2, -5)
Let's find a and b.
a is a distance in x direction: a = 1
b is a distance in y direction: b = 3
The final position is:
(x + a, y + b) = (-2 + 1, -5 + 3) = (-1, -2)
Step-by-step explanation:
An article reported the following data on oxygen consumption (mL/kg/min) for a sample of ten firefighters performing a fire-suppression simulation:
28.2 49.2 30.9 28.8 28.0 25.9 34.0 29.0 23.8 30.1
Compute the following. (Round your answers to four decimal places.)
a. The sample range.
b. The sample variance s2 from the definition
c. The sample standard deviation
d. s2 using the shortcut method.
Answer:
a)Range= 25.9
b)Variance =49.344
c)Standard deviation=7.0245
Step-by-step explanation:
Data : 28.2 49.2 30.9 28.8 28.0 25.9 34.0 29.0 23.8 30.1
Maximum Value : 49.4
Minimum Value : 23.5
Range= Maximum - Minimum
Range= 49.4 -23.5 = 25.9
(b)
[tex]Mean=\bar{x}=\frac{\sum x}{n}=\frac{309.2}{10}=30.92\\\\Variance=s^{2}=\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}=49.344[/tex]
(c) Sample standard deviation:
[tex]s=\sqrt{\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}}=7.0245[/tex]
d)s2 using the shortcut method.
X [tex]X^2[/tex]
28.6 817.96
49.4 2440.36
30.3 918.09
28.2 795.24
28.9 835.21
26.4 696.96
33.8 1142.44
29.9 894.01
23.5 552.25
30.2 912.04
Total 309.2 10004.56
[tex]s=\sqrt{\frac{\sum x^{2}_{i}-\frac{\left ( \sum x_{i} \right )^{2}}{n}}{n-1}}\\s=\frac{10004.56-\frac{309.2^{2}}{10}}{9}\\s=7.0245[/tex]
A triangular bandana has an area of 78 square inches. The height of the triangle is 9 3 4 inches. Enter and solve an equation to find the length of the base of the triangle. Use b to represent the length of the base. An equation to find the length of the base of the triangle is 78= The length of the base of the triangle is inches.
Area of triangle = 1/2 x base x height:
78 = 1/2 x base x 9 3/4
Multiply both sides by 2:
156 = base x 9 3/4
Divide both sides by 9 3/4:
Base = 16 inches
Please answer this correctly without making mistakes
Answer:
The answer is 10 months
Step-by-step explanation:
Find the value of X
WILL MARK BRAINLIEST IF CORRECT!
Answer:
x = 52
Step-by-step explanation:
This is a picture of a right angle, which is 90 degrees. We should first make an equation to represent this problem.
(x - 12) + 50 = 90
1. Subtract 50 from both sides of the equation.
(x - 12) = 40
2. Add 12 from both sides of the equation
x = 52
The value of x is 52.
Answer:
52°
....
....
....
....
............
FIRST PERSON TO CORRECTLY ANSWER GETS BRAINLIEST AND A THANK U SO HURRY
Answer:
Statement:
EOB; AOB180°90°2x°30°Reason:
GivenGivenGivenStep-by-step explanation:
x + 2x + 90 = 180
3x + 90 = 180
3x = 90
x = 30°
Answer:
vefgdv
Step-by-step explanation:
fsssssssssssssssssssssss
2|x+7|-10>14
Inequality
Answer: x>5 or x<−19
2/3 of the students in Sarah’s class are boys. Of the boys, 1/3 of them wear glasses. What fraction of the students are boys that wear glasses? Choose the model that matches the situation.
Answer:
1/3 of the boys of course
Answer:
chosse the box that is 3x3 in width and has 1 shaded in
Step-by-step explanation
|b] + b3; b = -2
Evaluate the expression for the given value of the variable.
Answer:
b + b3
-2 + (-2×3)
-2 + (-6)
-2 - 6
= -8
1. A certain small factory employs 98 workers. Of these, 10 receive a wage of $150 per day and the rest receive $85.50 per day. To the management, a week is equal to 6 working days. How much does the factory pay out for each week
Answer:hello I'm from Philippines
Step-by-step explanation:
Which expression is equivalent to V-80 ?
0 -4.75
O-4V51
O 451
O 4.5
[tex]i = \sqrt{-1}\\\\\\\sqrt{-80} = \sqrt{-1*16*5}\\\\\\\sqrt{-80} = \sqrt{-1}*\sqrt{16}*\sqrt{5}\\\\\\\sqrt{-80} = i*4*\sqrt{5}\\\\\\\sqrt{-80} = 4i\sqrt{5}\\\\\\[/tex]
Joyce purchased 84.92 in groceries and gives the clerk $100 bill how much change should the clerk give back to her
Answer:
$15.08
Step-by-step explanation:
When subtract 84.92 from 100 you get 12.08 which is how much he clerk should give back
Answer:
15.08
Step-by-step explanation:
Write the equation of the line that passes through the points (-5,1) and (5,8). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (8 - 1) / (5 - (-5))
m = 7/10
y-intercept using slope above and anyone of given point. Let's use (-5, 1):
y = mx + b
1 = 7/10(-5) + b
1 = -35/10 + b
b = 45/10
b = 9/2
Equation of line:
y = mx + b
y = 7/10x + 9/2
Point slope form:
y - y₁ = m(x - x₁)
y - 1 = 7/10(x - (-5))
y - 1 = 7/10(x + 5)
plss help mee
Show your work and not just the answer thank you
If two people share three hamburgers, how much should each person get?
If two people shared three hamburgers then each person would get one hamburger and a half. Since there are two people and three hamburgers, both people can get one hamburger and split the third. In decimal form, It would be 1.5
Answer:
The answer is 3 because 6÷2 which equal 3 which is represent the three hameburgers and 6÷2=3 because there would be 6 hamburgers to share between two people.
Convert to find the equivalent rate
840 magazines /week into magazines/hour
Answer:
5 magazines per hour are manufactured
what kind of polynomial is -2
Hi! I hope you're enjoying your day!
Here's how we classify polynomials:
Number of termsExponent (degree)More Information:
A polynomial with 1 term is called a monomial (for example, 6d)
A polynomial with 2 terms is called a binomial (for example, 6d+ 2a)
A polynomial with 3 terms is called a trinomial (for example, 6d+2a-4s)
A polynomial with 4 or more terms is called a polynomial
(for example. 6d+2a-4s+3e-t+9k-12a)
Degree: first, second, third.. depends on the exponent.
Hence, -2 is
[tex]\boxed{\boxed{\bold{first-degree\;monomial}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if you do, feel free to use the comment section.
#LearningIsFun
Write an inequality for the statement provided :
The cargo of the truck weighs at most 3,000 pounds
Answer: [tex]w \le 3000[/tex]
w is the weight of the truck in pounds.
Since w cannot be negative, we can write [tex]0 \le w \le 3000[/tex] or we could tack on the statement "w must be positive"
The phrase "at most" means "that is the largest w can get". Think of it as the ceiling.
3/7 + 5/6 ii) -3/15 x 7
[tex]\frac{53}{42}[/tex]
Step-by-step explanation:Calculate
[tex]\frac{3}{7}+\frac{5}{6}[/tex]
Find common denominator and write the numerators above common denominator
[tex]\frac{3\times6}{7\times6}+\frac{5\times7}{6\times7}[/tex]
Calculate the product or quotient
[tex]\frac{18}{7\times6}+\frac{5\times7}{6\times7}[/tex]
[tex]\frac{18}{42}+\frac{5\times7}{6\times7}[/tex]
[tex]\frac{18}{42}+\frac{35}{6\times7}[/tex]
[tex]\frac{18}{42}+\frac{35}{42}[/tex]
Write the numerators over common denominator
[tex]\frac{18+35}{42}[/tex]
Calculate the sum or difference
[tex]\frac{53}{42}[/tex]
Question #2 Answer[tex]-\frac{7}{5}[/tex]
Step-by-step explanation:Calculate
[tex]-\frac{3\times7}{15}[/tex]
Cross out the common factor
[tex]-\frac{7}{5}[/tex]
I hope this helps you
:)
a chess club has 20 girls and 15 boys. seven of the girls and 7 of the boys in the chess club are also in the math club.
what percent of the students in the chess club are also in math club?
Answer:
40% why? because 20+15=35 that is the total but they are saying 7 boys and 7 girls are in math and chees so is 14 14/35 is 40%
Write an equation with a slope of -5 And a y-intercept Of 0
[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-5}x+\underset{\stackrel{\uparrow }{b}}{0}\implies y=-5x[/tex]
I need to buy enough white boards for 172 students and there are 25 in a pack when the pack arrives 12 whiteboards are damaged. How many whiteboards are undamaged?
Answer:
There are 163 whiteboards undamaged.
Step-by-step explanation:
So first we know that 12 are damaged and there are 172 students. So first we need to find out how many whiteboards did you buy without knowing there will be 12 damaged. The answer is 7 because there are 25 per pack. And 7 * 25 = 175. You can't buy less because you rather buy extra rather then not enough. Now knowing that, what is 175 - 12 because 12 was damaged.
175 - 12 = 163.
There are 163 whiteboards undamaged.
163 white boards are undamaged
Step-by-step explanation:
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
Given;
172 Students
25 in a pack
12 whiteboards are damaged
To Find;
How many whiteboards are undamaged?
Solution;
we need 172 whiteboard but one pack consist of 25 whiteboards
⇒ 172/25 = 6.88
≈ 7 pack
Total whiteboard we buy
⇒ 7 × 25 = 175
Out of which 12 whiteboard are damaged
↓ Undamaged whiteboard ↓
→ 175 - 12 = 163 ←
thus, 163 whiteboards are undamaged
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
~[RevyBreeze]~
Solve: x2 - 2x + 1 = 4
Please help me
Let's solve your equation step-by-step.
x2−2x+1=4
Step 1: Subtract 4 from both sides.
x2−2x+1−4=4−4
x2−2x−3=0
Step 2: Factor left side of equation.
(x+1)(x−3)=0
Step 3: Set factors equal to 0.
x+1=0 or x−3=0
x=−1 or x=3
Answer:
x=−1 or x=3
What is the main advantage of a credit union compared to a payday or title
lender?
A. Credit unions often require collateral, unlike payday and title
lenders.
B. Credit unions usually require loans to be paid back in installments,
unlike payday and title lenders.
C. Credit unions usually offer lower interest rates than payday and
title lenders.
D. Credit unions offer loans to nonmembers, unlike payday and title
lenders.
It should be noted that main advantage of a credit union compared to a payday or title is that Credit unions usually offer lower interest rates than payday and title lenders.
What is credit union?Credit unions serves as financial institutions, like banks, and are nonprofit entities that aim to serve their members.
Therefore, Credit unions usually offer lower interest rates than payday and title lenders.
Learn more about credit union at;
https://brainly.com/question/2279124
what is the midpoint of AB if A = (-2,2) and B=(3,-1)?
Answer:
Midpoint = [tex](\frac{1}{2},\frac{1}{2} )[/tex]
Step-by-step explanation:
Midpoint formula: [tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]Plug in value: [tex](\frac{-2+3}{2} , \frac{2+(-1)}{2} )[/tex]Do the math: [tex](\frac{1}{2} ,\frac{1}{2} )[/tex]Use the appropriate conversions listed to convert 80 cups into gallons. Round to the nearest hundredth
Answer:
5 gallons
Step-by-step explanation:
You divide the number of cups by 16 to find how many gallons are there in a certain amount of cups.