Answer:
b) 1/8
Step-by-step explanation:
5/8 ÷ 5 = 1/8
The unit rate in cups per teaspoon is 1/8 cup of sugar.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
5/8 cup of sugar=5 teaspoons of vanilla.
or, 5 teaspoons of vanilla = 5/8 cup of sugar
So, 1 teaspoon of vanilla = (5/8)/5 cup of sugar
(5/8)/5 = (5/8)*(1/5)
(5/8)/5 =1/8
So, 1 teaspoon of vanilla = 1/8 cup of sugar
Hence, the unit rate in cups per teaspoon is 1/8 cup of sugar.
To get more about unitary methods visit:
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Please help me with this
Answer:
i cant see it...
Step-by-step explanation:
...
Hans wanted to find the length of the hypotenuse of the triangle. Which statement correctly identifies his error?
A right triangle has side lengths 40 centimeters and 9 centimeters. The hypotenuse is labeled c.
9 squared + 40 squared = c squared. 81 + 80 = c squared. 161 = c squared. StartRoot 161 EndRoot centimeters = c.
He did not square 40, he just multiplied by 2.
He did not finish the problem. He should have divided 161 by 2 to find the square root.
He should have added 9 + 9 to find the value of 9 squared.
He should have subtracted the two squares to get 40 squared minus 9 squared = c squared because numbers get too large if both legs are squared and then added together.
Answer:
He did not square 40, he just multiplied by 2
Answer 41 centimeters.
Step-by-step explanation:
C²=40²+9²
C²=1600+81
C²=1681
√c²=√1681
C=41cm
Answer:
the answer is A
Step-by-step explanation:
edg
Solve for x
−3x ≤−18
Answer:
x ≥ 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-3x ≤ -18
Step 2: Solve for x
[Division Property of Equality] Divide -3 on both sides: x ≥ 6Calculator
1.) There are 200 total students in the 7th grade. 84 students
participate in only athletics. 56 students only participate in a music
class. The remaining students do not participate in music or athletics.
Find the percentage of each category. Round to the nearest whole
percent.
Athletics:
% Music:
% Neither:
%
Music 28%
Athletics 42%
Neither 30%
Lynn asked six friends how many cars their parents own. She recorded 1, 1, 2, 2, 2, and 4 cars.
What is the mean absolute deviation of the number of cars?
Round to the nearest tenth, if needed.
A. 0.7
B. 1.1
C.1.4
D. 2
Answer: Its A 0.7
Step-by-step explanation:
Answer:
The answer is A. 0.7
Step-by-step explanation:
I took the test
Write the unit rate per video game. $78 for 4 video games. $ for video game. 100 points question better not be wrong or else
Answer:
78:4
Step-by-step explanation:
Drake produced 52 songs last year. If each new album has 15 songs on it, how many of his songs were not released on an album?
Answer:
7
Step-by-step explanation:
If each album has 15 songs, 15 * 3 = 45 so 52 - 45 = 7. Therefore, Drake produced 7 songs not in an album.
Simplify the expression
Answer:
(3 x)/(5 x + 2)
Step-by-step explanation:
Simplify the following:
(3 x^2)/(5 x^2 + 2 x)
Hint: | Factor common terms out of 5 x^2 + 2 x.
Factor x out of 5 x^2 + 2 x:
(3 x^2)/(x (5 x + 2))
Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).
Combine powers. (3 x^2)/(x (5 x + 2)) = (3 x^(2 - 1))/(5 x + 2):
(3 x^(2 - 1))/(5 x + 2)
Hint: | Evaluate 2 - 1.
2 - 1 = 1:
Answer: (3 x)/(5 x + 2)
Answer:
The answer is [tex]\frac{3x}{5x+2}[/tex]
Step-by-step explanation:
1) Factor out the common term x.
[tex]\frac{3x^{2} }{x(5x+2)}[/tex]
2) Simplify.
[tex]\frac{3}{5x+2}[/tex]
Thereofor, the answer is Option D.
Coverage for injury and property damage sustained by others for which you or covered residents of your household are legally responsible is known as a(n) _____.
Answer:
Liability insurance
Step-by-step explanation:
Liability insurance provides protection against claims resulting from injuries and damage to people and/or property. Liability insurance covers legal costs and payouts for which the insured party would be found liable. Provisions not covered include Intentional damage, contractual liabilities, and criminal prosecution.
Escreva uma equação do 2 grau que tenha: a) - 5 e 3 como raízes. b) x, +x, = 17 x, x = 70, sabendo que x, e x, são as raízes. = = C) 0 e 6 como raizes. d) Duas raízes reais iguais. e) Nenhuma raiz real.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:x=3
Step-by-step explanation:
the 3 angles of a triangle equal 180
you add 105 and 46, which equals 151
you subtract 151 from 180 to see what the missing angle is (29)
you would make 6x+11 equal to 29
-subtract 11 from 29= 18
6x/6, 18/6
the answer is 3
hope this helps! :)
what are angles? how do i solve them?
https://courses.lumenlearning.com/prealgebra/chapter/using-properties-of-angles-to-solve-problems/#:~:text=We%20measure%20angles%20in%20degrees,they%20are%20called%20supplementary%20angles.
Answer: do you mean how to find the degree?
Step-by-step explanation:
Count the number of sides in the polygon.
Find the total measure of all of the interior angles in the polygon
Divide the total measure of all of a regular polygon's angles by the number of its angles.
Subtract the sum of the known angles from the total measure of the angles for an irregular polygon.
it really depends
prove that 15-7 root 3 is irrational
Answer:
Step-by-step explanation:
[tex]\text{Did you mean}\\ \\ \sqrt[3]{15-7}\\ \\ \sqrt[3]{8}=2\text{ which IS a rational number}[/tex]
In 1-5, given: Two similar cylinders with heights of 8 and 5 respectively.
Answer:
1. The ratio of their diameters is 8/5 = 8 : 5
2. The ratio of their surface area is (8/5)²
3. The ratio of their volume is (8/5)³
4.The area of the base of the larger cylinder is 128 cm²
Step-by-step explanation:
Given that the two cylinders are similar, we have;
Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii
Therefore, we have;
1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂
The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5
The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5
2. The surface area of the cylinders = 2·π·r·h + 2·π·r²
Therefore, we have;
(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)
h₁ = h₂ × 8/5
r₁ = r₂ × 8/5
= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²) = (8/5)²
The ratio of their surface area = (8/5)²
3. The volume of the cylinder = π·r²·h
∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³
The ratio of their volume = (8/5)³
4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²
Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)² = 128 cm²
PLEASE HELP
Write the equation that models the linear relationship.
The equation ____ models the linear relationship
(Use integers or tractions for any numbers in the
equation)
» A group of 6 friends buy a video game that costs $60. They each
spend an equal amount of money. How much money does each
friend spend?
1» Let m stand for how much money each friend spends. Which equations
can be used to solve the problem? Choose ALL the correct answers.
m = 60 x 6
m= 60 = 6
m = 6 x 60
60 = 6 x m
Answer:
m = 60/6
60 = 6 x m
Step-by-step explanation:
hiii please help i’ll give brainliest thanks
Answer:
The answer is 5 beecause coefficients are the number when you multiply a number and a variable. For example 5a the coefficient in that term is 5 if you have 48e the coefficient is 48. So the coefficient is the number when you multiply a number times a variable.
PLEASE HELP Determine W and X in Circle M
your answer will be
w=16°
X=148°
Step-by-step explanation:
hope it helps you
have a great day!!
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Answer:
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wasd is the moving mechanics in minecraft
how long would it take the snail to crawl 65 inches
a 60
b 6.5
c 6
d 65
Answer:
6 minutes is the most reasonable time to crawl 65 inches.
Storage units are numbered 1 through 50. What is the probability that the operator will choose a unit that is not a multiple of 8?
Answer:
22/25
Step-by-step explanation:
Multiples of 8 betwen 1 - 50 =
8
16
24
32
40
48
there are 6 multiples of 8
Numbers that are not multiples of 8 = 50 - 6 = 44
Probability the operator will choose a unit that is not a multiple of 8 = 44/50
Expressing in simpler terms = 22/25
Someone answered this question with a link that didn't work so i need help
Answer:
y=0.875x + 6
Step-by-step explanation:
Answer:
Y= 7/8X+6
Step-by-step explanation:
Good luck bro .
Calculate the distance the train will travel in 3/4 hour.
Answer:
what is the speed of the train? if that is miles per hour just figure out what 75% is of that number
Step-by-step explanation:
Lucas is borrowing money to purchase a vehicle. A car dealership will loan Lucas $18,000 with a simple interest rate of 14.5% applied annually, and a 5-year payout plan. The bank will loan Lucas $18,000 with a compound interest rate of 8.9% applied annually and a 4-year payout plan. What is the difference in the total payback amounts?
Answer:
Difference in total payback = $5734.64
Step-by-step explanation:
Formula for the simple interest payout,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
P = Principal amount of loan
r = rate of interest (Annually)
t = Duration for the payment
Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]
= $13050
Total payable amount = 18000 + 13050
= $31050
Formula for the amount payable with compound interest,
Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]
Here, t = Duration of investment
r = rate of interest (Annual)
n = Number of compounding per year
Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]
= 18000(1.089)⁴
= $25315.36
Difference in total payback = $31050 - $25315.36
= $5734.64
If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.
Write an equation of the line in slope-intercept form. (0,2)(3,3)
Answer:
Slope = 1/3
Step-by-step explanation:
Hope this helps.
find the value of given expression
[tex] \sqrt{35 \times 35} [/tex]
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:(-6.5,-5)
Step-by-step explanation:
P = (3A +1B)/(3+1)
P = (3(-7, -9) +(-5, 7))/4 = (-21-5, -27+7)/4 = (-6.5, -5)
need some help please
Answer:
A(t)+900=x
B(t)+500=x
for the sake of things X represents the answer and as both need to equal the same it works out so that plugging it into a calculator should give you the answer
Step-by-step explanation:
you could start by making a T chart on one Side A the other B starting with 900 at A and 500 at B go down by the appropriate increments 950, 600;1000, 700; 1050, 800; 1100, 900, 1150, 1000; 1200, 1100; 1250, 1200, and you guessed it, 1300, 1300. so there you go X=1300
What is an equation of the line that passes through the points (0,5) and (-5,7) Put your answer in fully reduced form
Answer:
y = 2/5x + 5
Step-by-step explanation:
I assume you want the equation in point slope form? So assuming that, (0, 5) is the y intercept which is b in the equation y=mx+b (b=5). Now you have to find the slope, paper is really handy (I like drawing a graph out to help me sometimes but an easy way to do it is another equation like this...
y2-y1/x2-x1=
7-5/-5-0=
2/5 --> So 2/5 is the slope, and that finishes the equation
Final equation in point slope form: y=2/5x+5
HOPE YOU UNDERSTAND NOW!!!! :)
The equation of the line that passes through the point (0, 5) and (-5, 7) is
y = - 2/5 x + 5
The equation can be represented in the slope intercept form below
y = mx + bwhere
m = slope
b = y- intercept
(0, 5)(-5, 7)
The slope can be found below
m = 7 - 5 / -5 - 0 = 2 / -5 = - 2/5
Therefore, using y = mx + b format
y = -2/5 x + b
let's find b using the coordinate (0, 5)
5 = - 2 /5 (0) + b
b = 5
Finally, the equation is
y = - 2/5 x + 5
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Write the equation of the line that passes through the points (3, -2)
and (5, -9). Put your answer in fully reduced point-slope form,
unless it is a vertical or horizontal line.