Answer:
t= -15/2 or t= -7.5
Step-by-step explanation:
We are given the equation:
[tex]\frac{-6}{5}t=9[/tex]
and asked to solve for t. Therefore, we must isolate t on one side of the equation.
t is being multiplied by -6/5. The inverse of multiplication is division. We should divided both sides by -6/5, but we are dividing by a fraction. Instead, we can multiply by the reciprocal.
To find the reciprocal, flip the numerator (top number) and denominator (bottom number).
-6/5 ----> -5/6
Multiply both sides of the equation by -5/6
[tex]\frac{-5}{6} *\frac{-6}{5}t=9 *\frac{-5}{6}[/tex]
[tex]t=9 *\frac{-5}{6}[/tex]
[tex]t=\frac{9}1 *\frac{-5}{6}[/tex]
Multiply across the numerator and denominator.
[tex]t= \frac{9*-5}{1*6}[/tex]
[tex]t=\frac{-45}{6}[/tex]
Simplify the fraction. Both the numerator and denominator can be divided by 3.
[tex]t=\frac{-45/3}{6/3}[/tex]
[tex]t=\frac{-15}{2}[/tex]
[tex]t= -7.5[/tex]
t is equal to -15/2 or -7.5
The difference of the squares of two positive consecutive even integers is 12. Find the integers. Use the fact that, if x represents an even integer, then x + 2 represents the next consecutive even integer
Answer:
2 and 4.
Step-by-step explanation:
(x+2)^2 - x^2 = 12
x^2 + 4x + 4 - x^2 = 12
4x + 4 = 12
4x = 8
x = 2.
Hence the integers are 2 and 4.
pls show work and explain how to do it
Step-by-step explanation:
1. We can see that the two vertical lines are parallel. Since one angle is 80º, then the other side should be 100º, since the straight line is 180º.
2. If the angle on the right is 80º, then that means the angle with y and 40º add up to 100º.
3. 100º - 40º = 60º.
Our final answer: y = 60º
I hope this helps!
Which model represents a fraction less than Three-fifths? A circle divided into 5 equal parts. 4 parts are shaded. A circle divided into 5 equal parts. 2 parts are shaded. A circle divided into 5 equal parts. 6 parts are shaded. A circle divided into 10 equal parts. 8 parts are shaded.
Answer:
The correct answer is:
A circle divided into 5 equal parts. 2 parts are shaded.
Step-by-step explanation:
To determine the fraction less than three-fifths, let us convert the word problems into figures and compare the values:
[tex]Three-fifths = \frac{3}{5} = 0.6[/tex]
a) A circle divided into 5 equal parts. 4 parts are shaded (four-fifths)
[tex]Four-fifths = \frac{4}{5} = 0.8\ (more\ than\ three-fifths)[/tex]
b) A circle divided into 5 equal parts. 2 parts are shaded. (two-fifths)
[tex]Two-fifths = \frac{2}{5} = 0.4\ (less\ than\ three-fifhs)[/tex]
c) A circle divided into 5 equal parts. 6 parts are shaded = [tex]\frac{6}{5} = 1.2[/tex] (more than three-fifths)
d) A circle divided into 10 equal parts. 8 parts are shaded [tex]= \frac{8}{10} = 0.8\ (more\ than\ three-fifths)[/tex]
Therefore, the fraction less than three-fifths = A circle divided into 5 equal parts. 2 parts are shaded. (two-fifths)
A circle divided into 5 equal parts. 2 parts so the answer is B
explanation:
Hope this works<3
what is 7.3 estimated to
Two angles from a liner pair. The measure of one angle is 4 times the measure of the other angle. Find the measure of each angle
Answer:
x = 36 degrees, the smaller angle.
4(36) = 144 degrees, The larger angle.
36 + 144 = 180 degrees.
Cleomenius.
Answer:
x = 36 degrees, the smaller angle.4(36) = 144 degrees, The larger angle.36 + 144 = 180 degrees.
Step-by-step explanation:
(1)adjacent- two non-overlapping angles that share a common vertex and a common side
(2)the non-common sides are opposite rays.
(3)adds up to 180
The following graph shows a proportionality between y and x in the graph ?
Answer:
3/1 is the ans
Step-by-step explanation:
here y is in 3
and x is in 1
so proportonality will be 3/1
Is the number a rational number? Help me out please!
Answer:
first answer
Step-by-step explanation:
Hi, this is correct because repeating decimals are rational numbers.
Rational numbers can be written by a fraction of integers.
If there is a pattern, it means that this is the division of two integers.
hope this helps
Answer:
yes
Step-by-step explanation:
help on math question pls!!
[tex]-5*(-7)=35[/tex]
[tex]|35|=35[/tex]
[tex]-1*35=-35[/tex]
Hope this helps.
頑張って!
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x x that support your conclusion. x − 5 = x−5= 5 − x 5−x
Answer:
It has 1 solution
[tex]x=5[/tex]
Step-by-step explanation:
Given
[tex]x - 5 = 5 - x[/tex]
Required
Determine the number of solution
[tex]x - 5 = 5 - x[/tex]
Collect Like Terms
[tex]x + x = 5 + 5[/tex]
[tex]2x = 10[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} = \frac{10}{2}[/tex]
[tex]x = \frac{10}{2}[/tex]
[tex]x = 5[/tex]
Since the value of x is 5, then the equation has 1 solution
[tex]x = 5[/tex] is its only value
15+21 distributive property
What is m RMS in the figure below?
RA
P
M
128°
T
A 26
B 38
C 52
D 128
Answer:
Option (B)
Step-by-step explanation:
There are two lines PS and QT intersecting each other at a point M.
It's given that m∠PMT = 128° and m∠QMR = 90°
Since ∠PMT and ∠QMS are the vertical angles so these angles will be equal in measure.
∠PMT = ∠QMS
128° = m∠QMR + m∠RMS
128° = 90° + m∠RMS
m∠RMS = 128° - 90°
m∠RMS = 38°
Therefore, Option (B) will be the answer.
Daryl is twice the difference of Amy’s age and 5. If their combined age is 50, how old is Darly
Answer:
30
Step-by-step explanation:
please someone help me to prove this..
Answer: see proof below
Step-by-step explanation:
Use the following Sum to Product Identities:
[tex]\sin x+\sin y=2\sin \bigg(\dfrac{x+y}{2}\bigg)\cos \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\sin x-\sin y=2\cos \bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x+\cos y=2\cos \bigg(\dfrac{x+y}{2}\bigg)\cos \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x+\cos y=-2\sin \bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)[/tex]
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \dfrac{\sin 5-\sin 15+\sin 25 - \sin 35}{\cos 5-\cos 15- \cos 25 + \cos 35}[/tex]
[tex]\text{Reqroup:}\qquad \qquad \qquad \dfrac{(\sin 25+\sin 5)-(\sin 35 + \sin 15)}{(\cos 35+\cos 5)-(\cos 25 + \cos 15)}[/tex]
[tex]\text{Sum to Product:}\quad \dfrac{2\sin \bigg(\dfrac{25+5}{2}\bigg)\cos \bigg(\dfrac{25-5}{2}\bigg)-2\sin \bigg(\dfrac{35+15}{2}\bigg)\cos \bigg(\dfrac{35-15}{2}\bigg)}{2\cos \bigg(\dfrac{25+15}{2}\bigg)\cos \bigg(\dfrac{25-15}{2}\bigg)-2\cos \bigg(\dfrac{35+5}{2}\bigg)\cos \bigg(\dfrac{35-5}{2}\bigg)}[/tex][tex]\text{Simplify:}\qquad \qquad \dfrac{2\sin 15\cos 10-2\sin 25\cos 10}{2\cos 20\cos 15-2\cos 20\cos 5}[/tex]
[tex]\text{Factor:}\qquad \qquad \dfrac{2\cos 10(\sin 15-\sin 25)}{2\cos 20(\cos 15-\cos 5)}[/tex]
[tex]\text{Sum to Product:}\qquad \dfrac{\cos 10\bigg[2\cos \bigg(\dfrac{15+25}{2}\bigg)\sin \bigg(\dfrac{15-25}{2}\bigg)\bigg]}{\cos 20\bigg[-2\sin \bigg(\dfrac{15+5}{2}\bigg)\sin \bigg(\dfrac{15-5}{2}\bigg)\bigg]}[/tex]
[tex]\text{Simplify:}\qquad \qquad \dfrac{\cos 10[2\cos 20\sin (-5)]}{\cos 20[-2\sin 10\sin 5]}\\\\\\.\qquad \qquad \qquad =\dfrac{-2\cos10 \cos 20 \sin 5}{-2\sin 10 \cos 20 \sin 5}\\\\\\.\qquad \qquad \qquad =\dfrac{\cos 10}{\sin 10}\\\\\\.\qquad \qquad \qquad =\cot 10[/tex]
LHS = RHS: cot 10 = cot 10 [tex]\checkmark[/tex]
Idk how to solve these
Find and describe the error in the followig work -3(2x+3)=21 -6x+9=21 -6x=12 x=-2
Answer:
-3(2x+3)=21 does not become -6x+9=21 because wrong foiling.
Step-by-step explanation:
When you distribute -3 with 2x+3 you multiply both values by -3.
-3*2x = -6x
-3*3 = -9 <- This is where the error is. It's -9, not +9.
What is the justification for the step taken from line 2 to line 3?
Answer:
They subtracted 2x from both sides.
Step-by-step explanation:
They removed 2x from each side because in order to find x it will have to be removed on one side. Since 2x - 2x = 0 it is 2x is out of the equation for the right side and on the left side -2x -(-4x) = -6x which means that there is one x variable left in the equation thus making it solvable.
The parking lot at a grocery store has 90 cars in it. 90% of the cars are blue. How many cars are blue?
a 10 cars
b 81 cars
c 810 cars
d 100 cars
Answer:
81 blue cars
Step-by-step explanation:
Total Cars = 90
How much % are blue = 90
=> 90 x 90/100 = How many cars are blue
=> 8100/100 = the number of cars that were blue
=> 81 = cars that were blue.
There 81 blue cars in the parking lot.
Rachel plans to study 2 hours for her next exam how might plotting her
1. Each of the six cards shows a shape.
N
3
X
5
4
z
a. Which pair of cards shows a shape and its image after a rotation?
b. Which pair of cards shows a shape and its image after a reflection?
Answer:
a). Cards (1) and (4)
b). Cards (3) and (5)
Step-by-step explanation:
(a). From the cards attached,
If card (1) is rotated by an angle of 180° counterclockwise, we get the image given in card (4).
Therefore, card (4) will be the image of card (1) after a rotation.
(b). If we reflect card (3) across a horizontal line (or x- axis) image card (4) is obtained.
Therefore, card (3) and card (5) is the pair of cards.
Convert the decimal to a fraction. 0.185
Answer:
37/200
Step-by-step explanation:
.185= 185/1000
reduce to- 37/200
Hope this helps.
Please help!!! I'll mark you brainiest and give you as many Points as possible!!!!!
Answer:
Option C
Step-by-step explanation:
[tex]f(x) = 40( \frac{1}{4} )^{x} [/tex]
Answer: its a
Step-by-step explanation:
Solve for x. Round if needed. Image is below.
Answer:
x = 16
Step-by-step explanation:
3x + 1 = 49 ( vertical angles )
Subtract 1 from both sides )
3x = 48 ( divide both sides by 3 )
x = 16
Between which two integers does square root of /51 lie
Answer:
7 and 8
Step-by-step explanation:
Consider the perfect squares either side of 51
49 < 51 < 64 , thus
[tex]\sqrt{49}[/tex] < [tex]\sqrt{51}[/tex] < [tex]\sqrt{64}[/tex] , that is
7 < [tex]\sqrt{51}[/tex] < 8
Answer:
7 and 8.
Step-by-step explanation:
7^2 = 49 and 8^2 = 64.
Need help! Will mark BRAINLIEST!!!
Answer:
1) 3
2) 7
3) 4
4) 13
5) 5
6) 6
7) 11
8) 8
9) 7
10)80*
11)45*
12) Can't really see sorry
13) Is that the whole question? If not just comment the whole thing and Il'l try answer it ☺ Hope that helped!
Answer:
1. RS = - 2-(-5) = 3
2. R5 = 2 -(-5) = 7
3. ST = 2- (-2) = 4
4. RU = 8-(-5) = 13
5. PQ is a straight line with the length of 5 units.
6. QR is a straight line with the length of 6 units.
7. PR is a straight line with the length of 11 units.
8. AC = 24
4x=24
x=6
AB=6
9. BC = 15
3x=15
BD = 3x + 4x - 13
= 22
I might be wrong
2. Simplify the expression
6xy*(2xy = x?)
Answer:
2+2=4
Step-by-step explanation:
[GIVING BRAINIEST] What is 18/6
Answer:
3
Step-by-step explanation:
18/6 = 3
2. Which of the following is a common factor of *
4x? - 12x² and 8x² - 4x?
Answer:
Im not sure but hiiiiiiiiii.
Step-by-step explanation:
Janice published a novel. Last month the book sold 1326 copies, earning Janice a total of $1579.76. This month the book sold 1445 copies. How much should Janice expect to receive in royalties this month?
Please help me with this!! (20 points)
Answer:
BC, BD
Step-by-step explanation
If right please brainly
what would be the answer to g+3=17
Answer:
g = 14
Step-by-step explanation:
g + 3 = 17
minus 3 from both sides
g = 14