3t + 7 = 2 +5t , then find the value of t.
Answer:
t = 5/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3t + 7 = 2 + 5t
Step 2: Solve for t
[Subtraction Property of Equality] Isolate t terms: 7 = 2 + 2t[Subtraction Property of Equality] Isolate t term: 5 = 2t[Division Property of Equality] Isolate t: 5/2 = tRewrite: t = 5/2Answer:
t = ⁵⁄₂ or 2.5Explanation:
3t + 7 = 2 + 5t
Simplify both sides of the equation3t + 7 = 5t + 2
Subtract 5t from both sides3t + 7 − 5t = 5t + 2 − 5t
−2t + 7 = 2
Subtract 7 from both sides−2t + 7 − 7 = 2 − 7
−2t = −5
Divide both sides by -2
−2t / -2 = −5 / -2
Simplifyt = ⁵⁄₂
Turn the fraction into a decimalt = 2.5
t = ⁵⁄₂ or 2.5
You have 5/8 of a large bottle of shampoo. You pour 3/10 of the shampoo into a smaller bottle. How much of the entire large bottle do you pour into the smaller bottle
Answer:
13/40
Step-by-step explanation:
Answer:
Step-by-step explanation:
if you have 5/8 of a large bottle of shampoo,
(5/8)*(3/10)=15/80=3/16
Rhombus
b= 14 in.
h=9 in.
Paralelogram
b= 12ft
h= 8.5ft
A rhombus has an area of 375 mm2 and a base of 25 mm. What is its height?
Answer:
Step-by-step explanation:
The solution is, The area of Rhombus B is 9 times bigger than the area of Rhombus A. The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
Rhombus A:
Area = 35 square inches
base = 7 inches
height = 5 inches
Rhombus B:
Area = 315 square inches
base = 21 inches (7 x 3)
height = 15 inches (5 x 3)
A = 21 x 15
so, we get,
The area of Rhombus B is 9 times bigger than the area of Rhombus A. The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.
To learn more on Area click:
brainly.com/question/20693059
#SPJ2
complete question:
Rhombus A has base of 7 inches and an area of 35 square inches. Rhombus B has a Base and Height that are three times the base and height of Rhombus A. Find the area of Rhombus b and compare it to the area of rhombus A Explain
Which point below is not on the graph of px) = 36-X?
(-13, 7)
(-35, 1)
(11,5)
(27,3)
find the component equation of the plane which is normal to the vector -2i+5j+k and which contains the point (-10;7;5).
Given:
A plane is normal to the vector = -2i+5j+k
It contains the point (-10,7,5).
To find:
The component equation of the plane.
Solution:
The equation of plane is
[tex]a(x-x_0)+b(y-y_0)+c(z-z_0)=0[/tex]
Where, [tex](x_0,y_0,z_0)[/tex] is the point on the plane and [tex]\left< a,b,c\right>[/tex] is normal vector.
Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is
[tex]-2(x-(-10))+5(y-7)+1(z-5)=0[/tex]
[tex]-2(x+10)+5y-35+z-5=0[/tex]
[tex]-2x-20+5y-35+z-5=0[/tex]
[tex]-2x+5y+z-60=0[/tex]
[tex]-2x+5y+z=60[/tex]
Therefore, the equation of the plane is [tex]-2x+5y+z=60[/tex].
3 1/8 - 7/12 estimate the difference by rounding each fraction or mixed number to the nearest half or whole.
Answer:
2
Step-by-step explanation:
3-1=2...since the nearest whole number for the first is 3 and that of the next is 1 since it is more than a half
Answer:
2
Step-by-step explanation:
2 its becuse i muitlplyed to get the anserw and subtraction
1 box contains 23 crayons, then 69 crayons can fit in ______ boxes
Answer:
3 boxes?
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
1:23 :: x :69 (x = 69/ 23 )
1:23::2:69
Six friends are sharing 8 cups of lemonade. If they share the lemonade equally, how many cups will each friend get? simplify your answer to a mixed number
Answer:
Step-by-step explanation:
Divide the 8 cups between 6 people: 8/6 = 1.333
As a mixed fraction, that is 1(1/3)
As an improper fraction (that you didn't ask for but whatever), it's 4/3
Each friend gets [tex]1\frac{1}{3}[/tex] cups of lemonade.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that Six friends are sharing 8 cups of lemonade.
The friends share 8 cups lemonade equally.
We need to find the number of cup each friend will get.
To find this we have to divide eight by six.
In this questions we are splitting 8 cups among 6 friends.
Divide 8 by 6
8/6
Now divide numerator and denominator by 2
4/3
Now let us convert this to mixed fraction
[tex]1\frac{1}{3}[/tex]
Hence, each friend gets [tex]1\frac{1}{3}[/tex] cups of lemonade.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ2
Solve the equation for 1/3 + a = 5/4
a = 1/3 * 5/4
a = 5/16
y + 1 = -4(x + 1)
Graph the equation
Answer:
-4x-5
Step-by-step explanation:
sorry I can't get the graph
Answer:
Step-by-step explanation:
y = -4x-5
Alicia bought a package of eight peaches for $3.20. Find the cost of each peach.
Answer:
.40 cents each.
Step-by-step explanation:
$3.20/8=.40
A certain radioactive isotope is a byproduct of some nuclear reactors. Due to an explosion, a nuclear reactor experiences a massive leak of this radioactive isotope. Fortunately, the isotope has a very short half life of 9 days. Estimate the percentage of the original amount of the isotope released by the explosion that remains 8 days after the explosion
Answer:
jsuw
Step-by-step explanation:
bauxiiqodoysyvw. a dejavu losentino verete la müa
2.
Find the products using
a. (5x - 2)(5x + 2)
Find the length of the third side. If necessary, write in simplest radical form.
3
2
Answer:
4.2 ft
Step-by-step explanation:
Reference angle = 77°
Opposite side = DE = x
Hypotenuse = CD = 4.3 ft
Apply the trigonometric function of sine. Thus:
Sin 77 = opp/hyp
Sin 77 = x/4.3
Multiply both sides by 4.3
4.3 × sin 77 = x
x = 4.2 ft (nearest tenth)
Help me with my math
Answer:
The first one is correct
Step-by-step explanation:
-3<1-1 - 3<0 correct
-3>1 it is not correct
is 63 the soloution to p/9 = 7
Answer:
yes it is
Step-by-step explanation:
Yes the solution to p/9 = 7 is 63.
Mira's six test scores are given. What is the
positive difference between the mean of the
scores and the median of the scores?
86, 72, 92, 62, 99, 93
Answer:
First, we need to find the mean and median of the scores.
Mean:
86+72+92+62+99+93=504
There are 6 test scores, so:
504 ÷ 6 = 84
Median:
62, 72, 86, 92, 93, 99
86 + 92 = 172
172 ÷ 2 = 86
The answer would be:
Mean: 84
Median: 86
NeverReady batteries has engineered a newer, longer lasting AAA battery. The company claims this battery has an average life span of 17 hours with a standard deviation of 0.7 hours. Your statistics class questions this claim. As a class, you randomly select 30 batteries and find that the sample mean life span is 16.7 hours. If the process is working properly, what is the probability of getting a random sample of 30 batteries in which the sample mean lifetime is 16.7 hours or less
Answer:
0.020
Step-by-step explanation:
Given that,
μ = 17,
σ = 0.7,
x¯ = 16.7 hours
n(number of batteries) = 30
To find,
The probability(e) by using μ\frac{σ}{[tex]\sqrt{n}[/tex]} = normal cdf
∵ (E - 99, 16.7 , 17, 0.8/[tex]\sqrt{30}[/tex])
The probability of getting a random sample of 30 batteries = 0.020
Hence, the claim is reasonable as only 2% of batteries are likely to last till 16.7 hours.
Find the area of the area of the following figure please answer I’ll make Brainly
Answer: 91
Step-by-step explanation:
Solve for x, round to the nearest tenth. find x x =
Answer:
64.2
Step-by-step explanation:
Use tan to find the measure of x.
tan = 0pposite/adjacent
opposite = 29
adjacent = 14
so:
[tex]tan(x)=29/14\\x = tan^{-1} (29/14)\\x = 64.2[/tex]
Answer:
x = 64.2°
Step-by-step explanation:
tan x° = 29/14
14 · tan x° = 29
tan x° = 29/14
arctan(x) = 64.2°
Sheila simplified an expression using the following steps. Which property justifies Step 3? Step 1: 5x + 4(3 + 2x) Step 2: 5x + 12 + 8x Step 3: 5x + 8x + 12 Step 4: 13x + 12 O A. Identity Property O B. Associative Property O C. Distributive Property D. Commutative Property
Answer:
distributive property
Step-by-step explanation:
have a great day
Answer:
: 5x + 4(3 + 2x)
: 5x + 12 + 8x
: 5x + 8x + 12
: 13x + 12 Distributive Property
im falling asleep at the kitchen table bc i have not slept in 3 days and i cant go to bed until its 8 or 9 and its 5:56pm ughhh
Answer:
I hope u can sleep more
Step-by-step explanation:
Answer:
ohhhhhhh
Step-by-step explanation:
yea that sucks but why can't you go to bed until 8-9?????
which statement correctly descibes what happens to the shape and location of the graph of y=2x^2 if it is regraphed as y=-1/2x^2
HELPPPPPPP
Answer:
I got the same question rn
Step-by-step explanation:
What did you end up with for the answer?
In a chemistry experiment, the temperature of a gas, in degrees Celsius, followed this pattern. Which of these expressions describes the pattern?
Answer:
Pretty sure its B.
Step-by-step explanation:
i feel like its B because the temperature, (t), subtracts 15 every second.
. Which is bigger 35% of £260 or 45% of £220?*
The probability that the cause of a malfunction is due to a faulty car battery is 0.317 (31.7%). Consider the claim that using petroleum jelly to clean terminals decreases the likelihood of developing a faulty car battery, so that the probability is <0.317 (31.7%). The null and alternative hypotheses are shown. 0:1:=0.317<0.317 At a significance level of =0.05 , if the proportion of people who use petroleum jelly to clean terminals and develop a faulty car battery is 31.2% or less, the power to reject the null hypothesis is 0.06. Determine the probability of making a type I and type II error for this hypothesis test. ADAC Breakdown Statistics 2013 - How reliable are our cars?, 2013. Car-Addicts.com. http://www.car-addicts.com/consumer-reports/car-service/most-reliable-cars-breakdown-statistics-2013 (accessed Dec 15, 2015). = =
Answer:
woah
Step-by-step explanation:
if quick will mark brainliest
Answer:
17.5, I believe.
Hope that helps!
Step-by-step explanation:
Answer:0
Step-by-step explanation:
What is the solution to the following algebraic equation z+10 =11+4 * Your answer
Answer:
ummmmmmm okkkkkkkkkkk
Step-by-step explanation:
dddddddddddddddddddddddddddddd
Answer:
z = 5
Step-by-step explanation:
Find the sum and express it in simplest form.
(-2y3 + 2y2 - 9) + (-4y3 + 5y2 + 7)
Answer:
-6y^3+7y^2-2
Step-by-step explanation:
(-2y^3+2y^2-9)+(-4y^3+5y^2+7)
-2y^3-4y^3+2y^2+5y^2-9+7
-6y^3+7y^2-2
Which of the following are exterior angles? Check all that apply
Answer: D, C, A
Step-by-step explanation:
An exterior angle is an angle that is supplementary to an interior angle.
The angle between the extended side and its adjacent side is called the exterior angle so the option (D), (C), and (A) will be the correct answers.
What is the Exterior angle?Exterior angles become by a side of that figure and its extended adjacent side.
The exterior angle has been attached.
Since in the graph angle, ∠3 become by two extended lines but for exterior angle, there should be only one extended line which is ∠6, ∠5, and ∠2.
Hence angles ∠6, ∠5, and ∠2 will be the exterior angles.
For more information about Exterior angle
https://brainly.com/question/10638383
#SPJ5