Answer:
[tex]\huge\boxed{t=3}[/tex]
Step-by-step explanation:
[tex]-5(t+3)=-30[/tex]
METHOD 1:[tex]-5(t+3)=-30[/tex] divide both sides by (-5)
[tex]\dfrac{-5\!\!\!\!\diagup(t+3)}{-5\!\!\!\!\diagup}=\dfrac{-30}{-5}[/tex]
[tex]t+3=6[/tex] subtract 3 from both sides
[tex]t+3-3=6-3\\t=3[/tex]
METHOD 2:[tex]-5(t+3)=-30[/tex] use the distributive property a(b + c) = ab + ac
[tex](-5)(t)+(-5)(3)=-30[/tex]
[tex]-5t-15=-30[/tex] add 15 to both sides
[tex]-5t-15+15=-30+15[/tex]
[tex]-5t=-15[/tex] divide both sides by (-5)
[tex]\dfrac{-5t}{-5}=\dfrac{-15}{-5}\\\\t=3[/tex]
The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius holds 1½ pints, how many gallons will a similar can with a 24-inch radius hold?
Answer:
The second similar can with a radius of 24-inch radius will hold 12 gallons
Step-by-step explanation:
The given parameters are;
The volumes of the cylindrical can ∝ (The radius of the cans)³
The volume of first can, V₁ = 1¹/₂ pints
The radius of the first can, r₁ = 6-inch
The radius of the second can, r₂ = 24-inch
Therefore, we have;
V ∝ r³
V = k × r³
∴ 1¹/₂ pints ∝ (6 in.)³
1¹/₂ pints = 43.3125 in³
∴ 43.3125 in³ = k × 216 in.³
The constant of proportionality, k = 43.3125/216 = 0.2005208333
Therefore, we have for the second can, we have;
V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³
The volume of the second can = 2772 in.³
1 in.³ = 0.004329 gallons
∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons
Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.
What is the common difference for 9,11,13,15,17,19
BRAINLIEST. Ariana has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $9, before discount and tax. After the discount, and before tax, the price is $7.56. Find the percent discount.
Answer:
16%
Step-by-step explanation:
Given data
Initial cost= $9
final cost= $7.56
Required
The percent discount
Step two
Percent discount= final-initial/initial *100
Percent discount= 9-7.56/9 *100
Percent discount=1.44/9 *100
Percent discount=0.16 *100
Percent discount=16%
Hence the percent discount is 16%
Yes
Yes
Yes
Yes
Yes
Yes
E
E
E
E
E
E
E
E
E
E
E
what is the equation for the line in the slope intercept form enter your answer in the box
Answer:
i belive it is y=-4x+5
Step-by-step explanation:
i just did the test
Answer: Y-4+5 Is the answer
Step-by-step explanation:
Consider the line y = - 4x +3,
Find the equation of the line that is parallel to this line and passes through the point (2, -3).
Answer:
y = -4x + 5 {slope-intercept form}Step-by-step explanation:
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = - 4x + 3 ⇒ m₁ = -4 ⇒ m₂ = -4
The point-slope form of the equation of a line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.
m = -4
(2, -3) ⇒ x₁ = 2, y₁ = -3
point-slope form:
y - (-3) = -4(x - 2)
y + 3 = -4x + 8 {subtact 3 from both sides}
y = -4x + 5 ← slope-intercept form
Someone plz help I don’t understand!! Sad face
Answer: 41
Step-by-step explanation:
Substitute the given value into the function and evaluate
f(10)
f(x) = 4(10) + 1 = 40 + 1 = 41
ABCF is a rectangle.
CDEF is a trapezium.
AE is a straight line.
AB = 9cm, AE = 11cm, DE = 5cm.
The perimeter of rectangle ABCF is 28 cm.
Calculate the area of trapezium CDEF.
The area of trapezium CDEF will be 42 cm².
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
In other meaning, if we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
The perimeter of the rectangle ABCF is 28 cm.
Let's say BC = FA = x
Perimeter = AB + BC + CF + FA
Perimeter = 9 + x + 9 + x
Perimeter = 18 + 2x
2x + 18 = 28
x = 5 cm
Now,
Area of trapezium = (1/2) × sum of parallel distance × perpendicular distance.
Area of trapezium = (1/2) × (5 + 9) × 6
Area of trapezium = 42 cm²
Hence "The area of trapezium CDEF will be 42 cm²".
To learn more about surface area,
https://brainly.com/question/2835293
#SPJ1
What is the mean of the data set? 300, 222, 285, 310, 345. Round to the nearest tenth.
Answer:
292.4
Step-by-step explanation:
Answer:
292.4
Step-by-step explanation:
Use the mean formula: sum of elements / number of elements
Plug in the numbers:
(300 + 222 + 285 + 310 + 345) / 5
1462 / 5
= 292.4
So, the mean is 292.4
In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race. (2 points)
Ruben put an empty cup underneath a leaking faucet. After 1-1/2 hours, Ruben had collected 1/4 cup. What is the rate, in cups per hour, at which the water is leaking from the faucet?
Don't Mind the last Question I posted
14-year-old being weird!!!
Answer:
ok then
♧♧♧♧♧♧♤♤○○●○○□□○•☆☆▪︎○○~
At a swimming pool the ratio of those wearing sunscreen to those not wearing sunscreen was 7 to 5. If the number of people not wearing sunscreen was 30, then how many people were wearing sunscreen?
Answer:
42 people are wearing sunscreen
Step-by-step explanation:
Step one:
given data
We are given that the ratio of those wearing sunscreen to those not wearing sunscreen was 7 to 5.
i.e 7:5
number of people not wearing sunscreen is 30
let us use part to part method to solve this problem
let the number of people wearing sunscreen be x
so,
7/5= x/30
cross multiply we have
5x=210
divide both sides by 5
x= 210/5
x=42 people are wearing sunscreen
Answer:
I think the answer is 42 to 30. 42 kids wearing sunscreen and 30 kids were not. 30 divided by 5 is 6. 6 x 5 is 30. so 6 x 7 is 42. Hence 42 to 30. :)
Please Help asap!!!
Colin invests £5000 into his bank account.
He receives 10% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
Answer:
Step-by-step explanation:
1500
Answer:
13500
Step-by-step explanation:
~Extra ~ question ~ for ~ the ~ weebs ~ at ~ the ~ end.~
~Can someone help me out on this question?~
~ Which statement must be correct? ~
.
.
.
.
.
~Extra question: From the MHA boys, who is the best MHA character (Including Villains)~
~You can add stuff like:
Hotest boy: ???
Cutest Boy: ???
Toughest boy: ???
Craziest Boy: ???
Most Annoying Boy: ???
etc. you get the idea~
Answer:
hello~ is this how im sopoused to talk~
Step-by-step explanation:
good bye~
Answer:
Imma be truthful here
Hotest boy: Bakugo
Cutest boy: Deku (everyone can relate) and Mineta
Toughest boy: Todoroki (hes mentally still stable after all that trauma-)
Craziest boy: Shigakari
Most Annoying Boy: Twice
Now imma talk about the mineta thing
Mineta would be the perfect little guy in the series if he wasnt a perv. He's super smart, but lets his single pringle self get in the way. So really he is cute when hes not being a perv.
whats 43.6 rouded to the nest tenth
Answer:
43.6
Rounded to the nearest 0.1 or
the Tenths Place.
4 months to 8 years in ratio
Answer:
4:96
Step-by-step explanation:
It has to be the same kind of thing so...
1 year is 12 months
8 * 12 = 96
Answer:
4 months : 8 years
reduced...
1 month : 2 years
Step-by-step explanation:
I need help with this
Answer:
A is the correct answer mate
A -yard-long field is divided into parts of equal length. Mr. Gump paints a 6-yard-long strip in each part. How long is the unpainted strip in each part of the field
Answer:
9 yards
Step-by-step explanation:
THE QUESTION ABOVE ISN'T COMPLETE THEN I FIND THE SAME QUESTION WITH JUST CHANGE IN VALUES. CHECK IT BELOW;
A 208-yard-long road is divided into 16 parts of equal length. Mr. Ward paints a 4-yard-long strip in each part. How long is the unpainted strip of each part of the road?
EXPLANATION:
From the question, a 208-yard-long road is been parted into into 16 parts and they all have equal length.
Then we can determine the Length of each part as
(208-yard-long road/16 parts )
= 13
Then each part has a length of 13 yards
From the question, we know that 4-yard-long strip was painted in each part by Mr. Ward. Which means to determine the
unpainted strip of each part, we are going to use the expresion below.
(Length of each strip - length of painted strip)
= (13 yards - 4-yard-long strip )
= 9 yards
Therefore, the length of unpainted strip of each part of the road is 9 yards
Jane’s class gave examples of absolute value in distances traveled. Which example
demonstrates the greatest distance traveled?
Answer:
C
Step-by-step explanation:
Since we care about distance traveled, it doesn't matter if someone goes high or long or whatever -- we just care about the base number. Finding the absolute value of these:
A = 8
B =10
C = 12
D = 7
12 is the highest, C is our answer
What’s the solution for 6x =36
Answer:
in this equation x would equal 6. because 6*6=36
plz answer asap I rlly need help
Answer:
-8/10, -3/16, 3/16
Step-by-step explanation:
could you help me with this plz
Answer:
the closest estimate would be 300 boxes
the actual answer is closer to 322 boxes
Step-by-step explanation:
7715/24=321.458
hope this helps have a great day :)
Subtract -7n + 2 from 2n - 1.
A. -9n + 3
B. -5n + 1
C. 9n - 3
D. 9n + 1
Answer:
C) 9n - 3
Step-by-step explanation:
make an expression
2n - 1 - (-7n + 2)
open the parenthesis
2n - 1 + 7n - 2
combine like terms
9n - 3
please just Write the answer of the questions <3
Answer:
d). 6p²+p-2 f).k²+8k+16
Pls Help!! Will mark Brainliest!!
Hopefully it will show the pic this time
Answer:
Question 7: Company A has a lower rate
Question 8: Caiden's vehicle gets more miles per gallon
Step-by-step explanation:
Question 7:
According to the table for Company B's rates, if you divide the total cost by the square footage in each row, you would get $2.75/ft² each time. Therefore, Company A would charge the Smiths a lower cost per square foot.
$2.25/ft² < $2.75/ft²
Company A < Company B
Question 8:
Using the given equation, we already know that Caiden's vehicle has a gas mileage of 16.2 miles/gallon The graph for Ethan's gas mileage can be figured out using slope. Taking the points (0, 0) and (2, 30) on the line, we can figure out the line's slope.
slope = rise/run,
where "rise" is how much you add or subtract to get from the first y-value to the second, and "run" is how much you add or subtract to get from the first x-value to the second.
slope = rise/run
slope = 30/2
slope = 15/1
The slope of the line is 15, so that means the line's equation is y = 15x. Therefore, Ethan's gas mileage is 15 miles/gallon.
16.2 mpg > 15 mpg
Caiden > Ethan
What is the length for this question?
Answer:
I believe it would be 3.5
Step-by-step explanation:
2 is half of 4, the measurement for that same side on the connected triangle, by that logic, x would be half of 7.
7 ÷ 2 = 3.5
Answer:
i think it is 9
Step-by-step explanation:
.
At her restaurant .Yolanda open 285 cans of tomato sauce .She need to use 4 can of for one pan of lasagna how many pans of lasagna could yolanda make if she uses all if she all the cans what is the answer in a mixed numder
Answer:
71 1/4 pans of lasagna
Step-by-step explanation:
4 cans of tomato sauce = 1 pan of lasagna
285 cans of tomato sauce = x pan of lasagna
4 = 1
285 = x
Cross product
4*x = 285*1
4x = 285
x = 285/4
x = 71 1/4 pans of lasagna
Three years ago, Jolene bought $675 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12 3 5 % per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.) The stock is worth $ now.
Answer:
= $963.65
Step-by-step explanation:
Value of stock = value of the stock at the time it was bought x ( 1 + average rate of increase)^number of years
$675 x [1 + (12 + 3/5% ) ]^3 =
$675 x ( 1 + 0.126)^3 = $963.65
Find
The value of x pls I need help
Answer:
x= 30
Step-by-step explanation:
How do you write 58.84% as a decimal?
Answer:When you ask, "What is 58.84 as a decimal?", we assume you want to know what 58.84 percent is as a decimal. In other words, 58.84 percent converted to decimal.
First, we will tell you why it is useful to know 58.84 as a decimal.
Normally, to calculate 58.84 percent, you would multiply a number by 58.84 percent and then you would take the product of that and divide it by 100 to get the answer.
Instead, you can simply multiply a number by 58.84 as a decimal to get the answer.
58.84 ÷ 100 = 0.5884
Step-by-step explanation: there you go :)