Answers
Answer:
a = -0.5
Step-by-step explanation:
[tex] \rm Solve \: for \: a: \\ \rm \longrightarrow - \dfrac{1}{4}a - 4 = \dfrac{7}{4}a - 3 \\ \\ \rm Put \: each \: term \: in \: - \dfrac{1}{4}a - 4 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm - \dfrac{a}{4} - 4 = - \dfrac{a}{4} - \dfrac{16}{4} : \\ \rm \longrightarrow - \dfrac{a}{4} - \dfrac{16}{4} = \dfrac{7}{4}a - 3 \\ \\ \rm - \dfrac{a}{4} - \dfrac{16}{4} = \dfrac{ - a - 16}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7}{4}a - 3 \\ \\ \rm Put \: each \: term \: in \: \dfrac{7}{4}a - 3 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm \dfrac{7a}{4} - 3 = \dfrac{7a}{4} - \dfrac{12}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7a}{4} - \dfrac{12}{4} \\ \\ \rm \dfrac{7a}{4} - \dfrac{12}{4} = \frac{7a - 12}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7a - 12}{4} \\ \\ \rm Multiply \: both \: sides \: by \: 4: \\ \rm \longrightarrow \dfrac{ - a - 16}{ \cancel{4}} \times \cancel{4}= \dfrac{7a - 12}{ \cancel{4}} \times \cancel{4} \\ \\ \rm \longrightarrow -a - 16 = 7 a - 12 \\ \\ \rm Subtract \: 7 a \: from \: both \: sides: \\ \rm \longrightarrow (-a - 7 a) - 16 = (7 a - 7 a) - 12 \\ \\ \rm -a - 7 a = -8 a: \\ \rm \longrightarrow -8 a - 16 = (7 a - 7 a) - 12 \\ \\ \rm 7 a - 7 a = 0: \\ \rm \longrightarrow -8 a - 16 = -12 \\ \\ \rm Add \: 16 \: to \: both \: sides: \\ \rm \longrightarrow (16 - 16) - 8 a = 16 - 12 \\ \\ \rm 16 - 16 = 0: \\ \rm \longrightarrow -8 a = 16 - 12 \\ \\ \rm 16 - 12 = 4: \\ \rm \longrightarrow -8 a = 4 \\ \\ \rm Divide \: both \: sides \: of \: -8 a = 4 \: by \: -8: \\ \rm \longrightarrow
\dfrac{ - 8a}{ - 8} = \dfrac{4}{ - 8} \\ \\ \rm \dfrac{ - 8}{ - 8} = 1: \\ \rm \longrightarrow a = - \dfrac{4}{ 8} \\ \\ \rm - \dfrac{4}{ 8} = - \dfrac{1}{2} : \\ \rm \longrightarrow a = - \dfrac{1}{2} \\ \\ \rm \longrightarrow a = - 0.5[/tex]
Related Questions
Which of the following are true statements about the expression 4 - (-4)?
Answers
help pls i need the angles one
Answers
Joshua's car used is of a gallon to travel of a mile. At what rate does the car use gas, in miles per gallon? On the double number line below, fill in the given values] , then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers. To enter a mixed number on the double number line, use a space and the slash key. For example: 3 1/2 miles o O 1 gallons Enter your final answers as fractions,mixed numbers,or whole number
Answers
In its first year of operation, Big Lake Camp had 40 campers. This year’s attendance was 180% of the first year’s. How many campers participated this year? 32 58 64 72
Answers
Answer:
D(72)
Step-by-step explanation:
to find this do 40 + 40 to get 200 percent of the original year when subtract 20 percent of 40 to get 72
PLEASE GUYS HELP ME I WILL GIVE BRAINLIST OR WHATEVER IS CALLED I HAVE AN IMAGE ATTACHED TO
Rosie draws a triangle, ABC.
• AB = 8 cm
• AC = 9 cm
• Angle BAC = 75
a) Draw a sketch of Rosie's triangle.
b) Use your sketch to work out the area of Rosie's triangle.
cm
Answers
Answer:
34.77
Step-by-step explanation:
joseph save 50% of his allowance each week if he saves $25 in 5 weeks how much allowance does joseph receive each week
Answers
Answer:
10 dollars
Step-by-step explanation:
En el siguiente esquema se presentan en rojo las diferentes rutas que existen para llegar de una ciudad a otra. Por ejemplo, para llegar de la ciudad B a la ciudad C hay 4 posibles rutas. Si se quiere viajar desde la ciudad A a la ciudad D, ¿por cuántas rutas se podría ir? * A. 14 B. 36 C. 12 D. 24
Answers
Answer:
La respuesta es D. 24
Step-by-step explanation:
Falta el esquema. Lo adjunto en la resolución de la pregunta.
En el esquema se puede ver que hay 3 maneras de ir desde la ciudad A a la ciudad B, 4 maneras de ir desde la ciudad B hacia la ciudad C y finalmente 2 maneras de ir desde la ciudad C hacia la ciudad D.
Necesitamos saber por cuántas rutas se podría ir si se desea viajar desde la ciudad A a la ciudad D.
Utilizaremos el principio de multiplicación para responder a ésta pregunta ⇒
Supongamos que estamos realizando un experimento [tex]N[/tex] el cuál está conformado por una serie de sub - experimentos [tex]m_{1},m_{2},...,m_{n}[/tex].
Ahora, cada uno de estos sub - experimentos se puede desarrollar de [tex]n_{1},n_{2},...,n_{n}[/tex] maneras diferentes respectivamente. Entonces, el número total de maneras diferentes en las que el experimento [tex]N[/tex] se puede llevar a cabo se calcula como [tex]n_{1}[/tex] x [tex]n_{2}[/tex] x . . . x [tex]n_{n}[/tex]
Ahora bien, siguiendo con ésta idea escribimos :
3 x 4 x 2 = 24
''3'' porque es el número de rutas distintas para ir de A hacia B
''4'' porque es el número de rutas distintas para ir de B hacia C
Y finalmente ''2'' porque es el número de rutas para ir desde C hacia D
Si hacemos éste producto el resultado es 24 y por lo tanto la opción correcta es D. 24
a group...........................................
Answers
Answer:
165⁰ I hope this helped :)
What is an equilateral triangle?
a.
a triangle with equal sides and angles
c.
a sacred triangle used in Islamic art
b.
a triangle whose angles equal 360
d.
none of the above
Answers
Answer:
A
Step-by-step explanation:
Answer:
A. a triangle with equal sides and angles
is 1 ÷2 the same as 1/2?
Answers
Answer:
Step-by-step explanation:
yes it is
Answer:
yes----------------------
A cylinder has a diameter of 16 cm and a volume of 804.247cm2. What is the height of the cylinder?
Answers
Answer:
The height is 4cm
Step-by-Step Explanation:
Use the formula:
V= π (d/2)² h
Solve for h
h=(V/π(d/2)²
804.25/(π (16/2)²
4cm
Hope this helps :)
Answer: 4cm
Step-by-step explanation:
PLEASEEE HELPPPP
I’LL GIVE YOU BRAINLIST I DONT GET THIS :\\
Answers
Please quick You purchase a car using a $15,000 loan with a 5% simple interest rate.
(a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? Show your work. (10 points)
Answers
Answer:
a) $3000
Step-by-step explanation:
a)
interest = Principal x rate as decimal x time
interest = 15,000 x 0.05 x 4
interest = 3000
please help me on this
Answers
Answer:
x = 3
Step-by-step explanation:
7(2 - x) - 5(x - 1) = -6x + 1 (distribute the 7 and the 5)
14 -7x -5x + 5 = -6x + 1 (collect like terms)
-12x + 19 = -6x + 1 (add 12 on both sides)
19 = 6x + 1 (subtract 1 on both sides)
18 = 6x (divide by 6 on both sides)
3 = x
Hope this helps ya!!
I thought of a two-digit number. The unit digit of my number is a prime number, and the tens digit is four times as big as the unit digit. What is my number?
Please help! I'm very bad at these "what's my number" problems, so please respond ASAYC! (as soon as you can)
Answers
====================================================
Explanation:
Let A be the tens digit and B be the units digit
We can write the number as AB. So if A = 9 and B = 2 for instance, then the number is AB = 92. Keep in mind I'm not multiplying A and B here.
"The unit digit is a prime" means B could be any of these values {2,3,5,7}. We only list the single digit primes. The value 1 is not prime.
Now multiply each of those items by 4
4*2 = 8
4*3 = 12
4*5 = 20
4*7 = 28
Of those results, only 4*2 = 8 leads to a single digit answer.
This must mean that A = 8 and B = 2
Therefore the number is AB = 82.
Aaron had 6 albums with 18 Photos in each. Andre gave him seven albums with 13 photos in each. Then Jennie Gave Aaron 10 more photos. How many photos did Aaron have?
Answers
Answer:
209
Step-by-step explanation:
(6x18)+(7x13)+10
108+91+10
209
Answer:
Step-by-step explanation:
6+7+13+10
What is the slope of the line that passes through the points (-4,6) and (-3,2)
Answers
Answer: m=4/7x
Step-by-step explanation:
First, you need to use the equation y2-y1/x2-x1
Plug that in and you get 2-6/-3-4
2-6= -4
-3-4=-7
Cancel out the negatives
And the answer is 4/7
If a number is divisible by 3, then its odd
Answers
Answer:
and? obviously bc 3 isnt a even number so then the answer wont be even
If f(x)=-9x-2, find f(7)
Answers
Answer:
x= -1/5
Let me know if you need an explanation :)
PLEASE
The simple interest formula is I=Prt, where I is the interest, P is the principal, r is the interest rate, and t is the time.
What is the interest rate if the principal is $25,000, the interest is $10,875, and the time is 15 years?
Answers
Answer:
$40781250
Step-by-step explanation:
Okay so the formula for simple interest is: I = P x T x R divided by 100
25000 x 10875 x 15 = 4078125000 / 100 = $40781250
If you have the multiple choice answers:
A. $160
B. $200
C. $1600
D. $16,000
the answer is C. $1600
here's why:
The principal is $10,000, the interest rate is 2%, and the time is 8 years.
I = Prt
= $10,000 · 2% ⋅ 8
= 10,000 ⋅ 0.02 ⋅ 8
= 1600
So, the interest earned is $1600.
George has 525 songs on his mobile device and downloads 3 new songs a week. represent the total number of songs he has after w weeks.
Answers
Answer:
y= 3w+525
Step-by-step explanation:
y 5x=2
What are the coordinates
Answers
Answer:move -5x to the right becomes 5x
Y=5X+2
When x =1 5(1)+2= 7 for Y
When X=2 5(2)+2= 12 for Y
When X =-1 5[-1)+2/ -3
Coordinates (1,7).(2,12)(-1,-3)
Step-by-step explanation:
( Please answer) Elevator #1 starts moving upward from a height of 28 feet at a rate of 8 feet per
second. At the same time, elevator #2 starts moving downward from a height of 100
feet at a rate of 10 feet per second. Which two equations form a system that can be solved to find how many seconds (s) it will take for both elevators to reach the same height (h) in feet? A.) H - 8s = 28 B.) h - 10s = 100 C.) 10h - s = 100 D.) 28h + s =8
Answers
The answer is A and D
The equations for the situation are h-10s =100 and 28h + s = 8. The correct options are A and D.
What is an expression?The numerical variables and operations denoted by the addition, subtraction, multiplication, and division signs are combined in the mathematical expression.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols. They can also denote the operation order and other properties of the logical syntax.
Given that moving upward from a height of 28 feet at a rate of 8 feet per second. At the same time, elevator #2 starts moving down from a height of 100 feet at a rate of 10 feet per second.
The equation will be written as,
h-10s =100
28h + s = 8
To know more about an expression follow
https://brainly.com/question/3545444
#SPJ2
Can every parallelogram be changed into a rectangle
with equal area? Explain.
Answers
Answer:
Every parallelogram can be made into a rectangle, which is why we use the same formula to find the area of a parallelogram and a rectangle.
Step-by-step explanation:
Because the parallelogram and rectangle are composed of the same parts, they necessarily have the same area.
. On the opening night of a new movie, a local movie theater sold 630 tickets and filled 90% of the seats in the theater. How many seats are in the movie theater?
Answers
Answer:
700 seats
Step-by-step explanation:
- If 630 tickets filled 90% of the seats, [tex]x[/tex] tickets filled 100% of the seats
multiply 630 by 630 tickets = 90/100
- Set up a proportion
630 tickets/90 = [tex]x[/tex] tickets/100
[tex]x[/tex] = 700 tickets = 700 seats
can u pls find the slope intercept form pls?
Answers
Answer:
y = - 7/5x + 18/5
Slope: - 7/5
y - intercept: (0, 18/5)
Hope this helps!!
5,342 divided by 4 *********
Answers
Answer:
1335.5
Step-by-step explanation:
Answer:
10/171
Step-by-step explanation:
draw a line segment of length 8 cm divide it in the ratio 5:3
plzzzz helpppp
Answers
Answer:
Draw the line segment AB = 7 cm.
Draw ray BX making an acute ∠ABX.
Along BX. mark off five points B1, B2, B3, B4 and B5. Join B2 to A.
Through B5 draw B5P || B2A, intersecting BA produced at P.
The point P so obtained is the required point which divides AB externally in the ratio 3:5.
please help find the top angle
Answers
Answer:
130 degrees
Step-by-step explanation:
So u can see those little lines on two of the sides of the triangle, it means that it's congruent also meaning the same length, and if u didn't, the angles had to be the same in order for the sides to be the same length. So the other missing angle degree is also 25 degrees. A triangle is 180 degrees, so with this info:
25 + 25 + 4x + 2 = 180
4x + 52 = 180
4x = 128
x = 32, now we have x so replace the x in the equation with 32
4(32) + 2
128 + 2
130
I WILL MARK BRAINIEST
please tell me what type of angle it is
Answers
Answer:
alternate exterior angles
Step-by-step explanation:
Answer: adjacent angles
explanation: both angles share the same side.