Answer:
x = 6/7
Step-by-step explanation:
7x/2+5=8
Subtract 5 from each side
7x/2+5-5=8-5
7x/2 = 3
Multiply each side by 2/7
2/7 * 7/2x = 3*2/7
x = 6/7
[tex]\huge{\boxed{\bold{ANSWER}}}[/tex]
╭⋟───────────────
[tex] \frac{7x}{2} + 5 = 8 \\ \frac{7x}{2} = 8 - 5 \\ \frac{7x}{2} = 3 \\ 7x = 3 \times 2 \\ 7x = 6 \\ x = \frac{6}{7} [/tex]
So, the answer is [tex]\boxed{x = \frac{6}{7}}[/tex]
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ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
There are 14 birds sitting on a wire. One-half of the birds are black. How many black birds are sitting on the wire?
Answer:
7
Step-by-step explanation:
There are 14 birds sitting on the wall
One half of the birds are black
Therefore the number of black birds can be calculated as follows
= 14×1/2
= 14×0.5
= 7
Hence 7 birds are black
Solve the following quadratic equation. *
x^2+12x-45=0
Answer:
9 over 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
x^2 + 12 - 45 = 0
solving by middle term break method
x^2 + (15 - 3) - 45 = 0
x^2 + 15x - 3x - 45 = 0
x(x + 15) - 3(x + 15) = 0
(x + 15)(x - 3) = 0
either x + 15 = 0 OR, x - 3 = 0
x + 15 = 0
x = 0 -15
x = -12
x - 3 = 0
x = 0 + 3
x = 3
therefore x = -12,3
i have done solution for the given question in two different methods.
the solution done in note copy is by using quadratic formula.
PLEASE HELP PLEASE PLEASE PLEASE
Answer:
45[tex]yd^{2}[/tex]
Step-by-step explanation:
splitting it into 2 rectangles, you have one of 15 x 2 and 5 x 3. multiplying base by width on both and adding the answers together gives you 45.
Answer:
45 yd2
Its a composite shape, so you'll have to "cut" it into basic shapes first.
I've cut it into two rectangles A and B... (see attachment)
Rectangle A on its own would have a l = 5 yd and w = 3 yd
Rectangle B will have l = 15 yd and w = 2yd
Total area = Area of A + Area of B
= (5 × 3) + (15 × 2)
= 15 + 30
=
[tex] {45yd}^{2} [/tex]
a girl 65 marks out of 80. What percent mark did she have?
Answer:
the marks obtained by a girl in percentage is 81. 25%
Answer:
81.25%
Step-by-step explanation:
100 (65/80)
The measure of
degrees
Answer:
yes because I have no idea what I'm doing
Step-by-step explanation:
idek don't use this
Three sides of a triangle measure 25 inches, 24 inches, and 7 inches. Which statement about the side lengths is correct?
Answer:
Well this needs more of a discription. I would say that 25 inch is the hypotenuse and the lenght is 24 inches. 7 inches is the width
Now that you know Theresa's height, find Paul's and Steve's height. Plug Theresa's height into the expressions for Paul's height and Steve's height. How tall are they each in inches? Are they both the same height?
Answer:
Theresa is 58.82 in tall
Step-by-step explanation:
Let
x----------> Paul and Steve heights
y----------> Theresa height
we know that
1 1/2-------> 3/2---> 1.5
1 1/3-------> 4/3----> 1.33
Paul says he is 16 inches shorter than 1 1/2 times Theresa's height
x=1.5y-16-------> equation 1
Steve says he's 6 inches shorter than 1 1/3 times Theresa's height
x=1.33y-6------> equation 2
equals 1 and 2
1.5y-16=1.33y-6
1.5y-1.33y=-6+16
0.17y=10----------> y=58.82 in
x=1.5y-16------> 1.5*(58.82)-16------> x=72.24 in
the answer is
Theresa is 58.82 in tall
Find the coordinates of the points on the graph of y= 3x - 16
Answer:0,-16; 1, -13; 2, -10; 3,-7; 4, -4; 5,-1; 6,2; 7,5
Step-by-step explanation:
Luis camina 2 kilómetros hacia el sur y luego un cierto número de kilómetros hacia el este. Termina a 5 kilómetros de su posición inicial. ¿Cuántos kilómetros caminó Luis hacia el este?
Answer:
camino 5 kilometros
Step-by-step explanation:
2-3+5
how to solve (-6y^-3z^-3)(-1/2y^-1z)
Answer:
3
__________
y ^4 z ^2
Step-by-step explanation:
Find the measures of all the angles in the rhombus shown below.
31
1
5
2
4
3
Which region represents the solution to the given system of inequalities?
{+3y < -3
{ x > 3
Step-by-step explanation:
the answer is in the above image
use the app DESMOS it helps in drawing graphs like this
Which number(s) below belong to the solution set of the inequality? Check all
that apply.
X+ 30 < 60
A. 30
B. 45
C. 1
D. 50
E 300
F 29
Answer:
C) 1
F) 29
Step-by-step explanation:
all numbers less than 30 are solutions
Answer:
C. 1
F 29
Step-by-step explanation:
X+ 30 < 60
Subtract 30 from each side
X+ 30-30 < 60-30
x < 30
A. 30 no not less than 30
B. 45 no not less than 30
C. 1 yes
D. 50 no not less than 30
E 300 no not less than 30
F 29 yes
Simple interest I in dollars is calculated using the formula I=prt. Here, p represents the
principal, or amount, in dollars that is invested or borrowed; r represents the annual
interest rate, expressed as a percent; and t represents time, in years. Find the value of
the remaining variable in the simple interest formula. (Hint: Write percents as decimals.)
1 = $1080, r = 4%, t = 3 years
Answer:
129.6
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10
TIME REMAINING
58:09
Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7).
A table titled Fiona's Product with 2 columns and five rows. The first column is labeled steps with 4 steps shown. The second column is labeled result and shows 5 result expressions.
In which step did Fiona make an error?
Step 1
Step 2
Step 3
Step 4
Answer:
(2x – 3)(5x^2 – 2x + 7)
=103−192+20−21
Hope This Helps!!!
Observe los datos de la siguiente tabla y resuelva. x -2 -1 0 1 2 3 y 1 3 5 7 9 11
Answer:
y = 2*x + 5
Step-by-step explanation:
En este problema tenemos los datos de una tabla, y supongo que queremos encontrar la funcion que esta siendo representada por esta tabla.
La tabla es:
x: -2 -1 0 1 2 3
y: 1 3 5 7 9 11
Esto parece ser una relación linear, las cuales se escriben como:
y = a*x + b
Donde a es la pendiente y b es la ordenada.
Si sabemos que la linea pasa por los puntos (x₁, y₁) y (x₂, y₂), entonces la pendiente será:
a = (y₂ - y₁)/(x₂ - x₁)
Entonces lo primero que debemos chequear es si utilizando distintos puntos de esa tabla obtenemos la misma pendiente, lo que significaría que los datos de la tabla se corresponden con una relación linear.
SI usamos los primeros dos puntos de la tabla, que son (-2, 1) y (-1, 3) la pendiente es:
a = (3 - 1)/(-1 - (-2)) = 2/1 = 2
Ahora si utilizamos por ejemplo el segundo y tercero, que son (-1, 3) y (0, 5) entonces la pendiente es:
a = (5 - 3)/(0 - (-1)) = 2/1 = 2
Ya vimos que para dos pares de puntos distintos la pendiente es igual a 2, entonces podemos concluir que la ecuación va a ser algo como:
y = 2*x + b
Para encontrar el valor de b, podemos usar cualquiera de los puntos de la tabla.
Si usamos el segundo punto, (-1, 3)
esto significa que cuando x = -1, tenemos y = 3
Si reemplazamos esos dos valores en la ecuación de arriba, obtenemos:
3 = 2*-1 + b
3 = -2 + b
3 + 2 = b
5 = b
Entonces la ecuación es:
y = 2*x + 5
in a class of 37 students,the number of students who like martial art only is double than the number of students who like athletics only .if students like both 4 like none of the games . find how many students like
Answer:
number of students who like Athletics only = x = 10 students
number of students who like marshal arts only = 2x = 20 students
Step-by-step explanation:
In a class of 37 students, the number of students who like marshal arts only is
double than the number of students who like athletics only. If 3 students like both
and 4 like none of the games, find out how many students like:
i. Marshal arts
ii. Athletics
Total students in the class = 37
number of students who like Athletics only = x
number of students who like marshal arts only = 2x
Number of students who like both = 3
Number of students who like none = 4
Total = athletics + marshal art + both + none
37 = x + 2x + 3 + 4
37 = 3x + 7
37 - 7 = 3x
30 = 3x
x = 30/3
x = 10
number of students who like Athletics only = x = 10 students
number of students who like marshal arts only = 2x
= 2(10)
= 20 students
Please help me!! I will mark you as BRAINLIEST ANSWER!
Which data set has high consistency and low variability? Why?
Answer:
I would say Group A
Step-by-step explanation:
There is more of the latter half than the first half, meaning there is low variability but high consistency in the second half.
a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is 12 ft from the side of the house. find the length of the ladder. round your answer to the nearest tenth.
Answer:
≈ 35.1 ft
Step-by-step explanation:
The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°
Using the cosine ratio, with l being the length of the ladder.
cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{l}[/tex] ( multiply both sides by l )
l × cos70° = 12 ( divide both sides by cos70° )
l = [tex]\frac{12}{cos70}[/tex] ≈ 35.1 ( to the nearest tenth )
The ladder is approx 35.1 ft long
What is 700,000+900+60+7 in standard form
Step-by-step explanation:
here is the answer for your question
Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank.
A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16).
Which statement is supported by the graphs?
Answer:
it's AAAAAAAAAAAAAAAAAAA
Answer:
It's A <3
I took the test. ^^
Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs? y = –StartFraction 3 Over 4 EndFractionx + 36 y = –3x + 36 y = StartFraction 3 Over 4 EndFractionx + 36 y = 3x + 36
Answer:
[tex]y = 36 - \frac{3}{4}x[/tex]
Step-by-step explanation:
The missing parameters are:
[tex]h = 36in[/tex] --- height of rails
The rate of decrement is: 9 [tex]inches[/tex] for [tex]every[/tex] 12 [tex]horizontal[/tex] [tex]inches.[/tex]
Required
The function
First, we represent the rate (r) as a fraction.
[tex]r = -\frac{9}{12}[/tex] ---- negative, because it decreases
Simplify
[tex]r = -\frac{3}{4}[/tex]
So, the function is:
[tex]y = h + r * x[/tex]
Where:
[tex]x \to[/tex] distance from top
So, we have:
[tex]y = 36 - \frac{3}{4}x[/tex]
Need answer ASAP pls it’s important
Hey buddy I am here to help!
total outcomes r = 36
multiples of 3 = 3,6
total outcomes of multiple fo 3 = 12
12/36 = 1/3
1/3 is the answer
Hope it helps!
Plz mark me brainliest!
Mary went to the shop and bought two patties for $190 each and three Orange juice for $375. If she pays her bill with two $500 notes, what amount does she receive in change?
Answer:
$55
Step-by-step explanation:
Spending
3*190 + 375 = 945
Change = cash paid - spending
500 * 2 - 945 = 55
$55
A rectangular prism has a height of 10 inches, breadth of 19 inches and length twice the height. What is the volume of the prism?
Answer:
3800
Step-by-step explanation:
Volume= Length x width x height
v=20x19x10
v=3800 inches²
Brainliest please
Một dàn gà có 24 con gà trống và bằng 6 phần 5 số con gà mái. Tỉ số giữa số gà mái và số con gà của đàn.
Step-by-step explanation:
Số gà mái: 24 : 6 x 5 = 20 (con)
Số gà cả đà: 24 + 20 = 44 (con)
=> Tỉ số giữa gà mái và số gà của đàn: 20/44 = 5/11
Given that AABC~ ADEF, solve for x.
Answer:
D.7
because in similar triangle the corresponding sides are proportionalStep-by-step explanation:
30/5 =42/X
Criss cross and X=(42X5)/30=7
The value of x will be,
⇒ x = 7
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangles ABC and DEF are similar.
Now, By definition of proportionality we get;
⇒ AB / BC = DE / EF
⇒ 30 / 42 = 5 / x
⇒ 30x = 5 × 42
⇒ 30x = 210
⇒ x = 210 / 30
⇒ x = 7
Thus, The value of x will be,
⇒ x = 7
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
I might give brainliest, please help down below.
Answer:
4.) 7.03
5) 2.31
6.) five tenths
7) nine hundredths
8. 7
9.) three tenths
What decimal is equivalent to 1/8
Answer:
0.125
Step-by-step explanation:
Becuase math
If f(x) = 2x, then f-1(x) =
1/2 х
x-2
-2x
Answer:
1/2x
Step-by-step explanation:
y = 2x
To find the inverse, exchange x and y
x = 2y
Solve for y
Divide each side by 2
x/2 = 2y/2
1/2x = y
The inverse is 1/2x