Answer:
3×2+2x-5
6-5+2x
1+2x
-4+7×2
-4+14
10
ok so if -4/5 is divided by 2 what would be the quotient
[tex]-\frac{4}{5}\div \:2[/tex]
[tex]-\frac{4}{5}\div \frac{2}{1}[/tex]
[tex]-\frac{4}{5}\times \frac{1}{2}[/tex]
[tex]-\frac{4}{10}=-\frac{2}{5}[/tex]
Answer:
-4/10
hope it helps!
Step-by-step explanation:
-4/5 divided by 2
-4/5 multiplied by the reciprocal of 2
Is -4/5 multiplied by 1/2
= -4/5 * 1/2
= (-4*1)/(5*2)
= -4/10
which equation has the solution x=4: 4x=20 x/2=8 x+8=3x x =x+5/2
Answer:
x+8=3x
Step-by-step explanation:
4x=20
4x/4=20/4
x=5
The solution to the first equation is x=5.
x/2=8
2(x/2)=2(8)
x=16
The solution to the second equation is x=16.
x+8=3x
x+8-x=3x-x
8=2x
8/2=2x/2
x=4
The solution to the third equation is x=4.
x=x+5/2
x-x=x+5/2-x
-x=5/2
x=-5/2
The solution to the fourth equation is x=-5/2.
The equation x+8=3x has the solution to x=4.
Step-by-step explanation:
4x = 20
x = 20/4 = 5
x/2 = 8
x = 8 x 2 = 16
x + 8 = 3x
8 = 3x - x
8 = 2x
8/2 = x
4 = x
x = x + 5/2
2x = 5/2
x = 5/2 x 2
x = 5
Consider the polynomial function P(x) = 2x^3 - mx^2 + x - 5m. The remainder when P(x) is divided
by (x - 2) is four times the remainder from dividing P(x) by (x + 1). Determine m algebraically
and show all your work.
Answer:
m = 57/14 = [tex]4\frac{1}{14}[/tex]
Step-by-step explanation:
The polynomial can be expressed as follows;
P(x) = 2·x³ - m·x² + x - 5·m
(2·x³ - m·x² + x - 5·m) ÷ (x - 2)
2·x²
(-m - 2)·x² + x
(-m - 2)·x
(m + 3)·x - 5·m
(m + 3)·x
-5·m
The remainder = -5·m/(x -2)
Similarly, dividing by (x + 1) will give a remainder of -5·m/(x + 1)
But -5·m/(x -2) = 4×-5·m/(x + 1)
5/(x -2) = 20/(x + 1)
5(x + 1) = 20(x -2)
20x - 5x= 40 + 5
x = 45/15 = 3
2·3³ - m·3² + 3 - 5·m = 54 - 9m + 3 - 5m = 57 - 14m
(57 - 14m)/1 = (57 - 14m)/4
228 - 56m =57 - 14m
171 = 56m-14m = 42m
m = 171/42 = 57/14.
A principal of $2000 is placed in a savings account at 3% per annum compounded annually. How much is in the account after one year, two years and three years?
Answer:
Step-by-step explanation:
After one year
A=p(1+r/n)^nt
=2000(1+0.03/12)^12*1
=2000(1+0.0025)^12
=2000(1.0025)^12
=2000(1.0304)
=$2060.8
After two-years
A=p(1+r/n)^nt
=2060.8(1+0.03/12)^12*2
=2060.8(1+0.0025)^24
=2060.8(1.0025)^24
=2060.8(1.0618)
=$2188.157
After three years
A=p(1+r/n)^nt
=2188.157(1+0.03/12)^12*3
=2188.157(1+0.0025)^36
=2188.157(1.0025)^36
=2188.157(1.0941)
=$2394.063
Amount in account after one year, two and three years are respectively $2,060 , $2,121.8 and $2,185.45
Given:
Principal amount = $2,000
Rate of interest = 3% = 0.03
Amount in account after one year
A = P(1+r)ⁿ
A = 2,000(1+0.03)¹
A = 2,000(1.03)¹
A = 2,000(1.03)
A = $2,060
Amount in account after two year
A = P(1+r)ⁿ
A = 2,000(1+0.03)²
A = 2,000(1.03)²
A = 2,000(1.0609)
A = $2,121.8
Amount in account after three year
A = P(1+r)ⁿ
A = 2,000(1+0.03)³
A = 2,000(1.03)³
A = 2,000(1.092727)
A = $2,185.45
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solve: 5x + 4 < 3 – 3x
Answer:
x = -1/8
Step-by-step explanation:
The greater than sign can be replaced with an equal sign to solve.
5x + 4 < 3 – 3x =>
5x + 4 = 3 - 3x =>
+3x -4 +3x - 4
---------------------------
8x = -1
x = -1/8
raise to the power: (-a^3 b^2 c)^2
Answer:
a^6b^4
Step-by-step explanation:
Answer:
-a^6b^4c^2
Step-by-step explanation:
Multiplying exponents, all you have to do is add them
Hope this helps!
What is ? 5(x+y)-3(x+y)
Answer:
2(x+y)
Step-by-step explanation:
Simple 5-3 with some added variables that don't change.
help me PLEASEEEE im giving out brainly to the earliest and best one :D
Election Three candidates run for an office in a local election. In all, 12,936 votes
are cast, and the breakdown of votes for the three candidates is in the extended ra
3:4:5. Find the actual numbers of votes cast for the three candidates.
Answer:
3234
4312
5390
Step-by-step explanation:
3x +4x + 5x = 12936
12x = 12936
work out2 3/14+3 4/14
5 1/2
please see the attached picture for full solution..
hope it helps..
Good luck on your assignment
Answer:
[tex]5 \frac{1}{2}[/tex]
Step-by-step explanation:
=> [tex]2\frac{3}{14} + 3\frac{4}{14}[/tex]
=> [tex]\frac{31}{14} + \frac{46}{14}[/tex]
=> [tex]\frac{31+46}{14}[/tex]
=> [tex]\frac{77}{14}[/tex]
=> [tex]5\frac{7}{14}[/tex]
=> [tex]5 \frac{1}{2}[/tex]
Ella's geometry teacher asked each student to devise a problem and write out its solution. Here is Ella's work: A triangle has side lengths of 10, 11, and 15. What type of triangle is it? Procedure: 102 ?? 112 + 152 100 ?? 121 + 225 100 < 346 Conclusion: This triangle is an acute triangle. Which statement best summarizes Ella's work?
Answer:
Confusing and incorrect. If the squares on the two shorter sides add to less than the square on the longer side, the triangle is obtuse.
Step-by-step explanation:. It would be a lot easier to understand if Ella uses standard notation for a number squared: carat ^2 if superscript is not available. Logic will help too. If you know that a^2 +b^2 = c^2 produces a Right Triangle, try to envision or sketch the lengths of a known acute triangle and see if the sum of the squares is greater or less than the square in the longest side.
Answer: D. Ella’s procedure and conclusion are incorrect.
Step-by-step explanation:
just did it on edge 2023
2/3y + 15 = 9
What are the steps for this question
Answer:
see below
Step-by-step explanation:
2/3y + 15 = 9
Subtract 15 from each side
2/3y + 15-15 = 9-15
2/3y = -6
Multiply each side by 3/2 to isolate y
3/2 * 2/3y = -6 *3/2
y = -9
Answer:
y = - 9
Step-by-step explanation:
2/3y + 15 = 9
Subtract 15 on both sides.
2/3y = 9 - 15
2/3y = - 6
Multiply both sides by 3/2.
y = - 6 × 3/2
y = -18/2
y = -9
The speed of a Garden-Snail is 50 meters per hour and that of the Cheetah is 120 kilome-
ters per hour. Find the ratio of the speeds
Answer:
50/120 =12:5
Step-by-step explanation:
First we are divide 50/120
answer is 12:5
Answer: 0.05 : 120. OR
50 : 120000 or 1:2400
Step-by-step explanation:
Speed of garden snail
= 50 meters per hour = 0.05 kph
Speed of cheetah
= 120 km per hour or 120000 mph
Ratio of snail : cheetah
= 0 05 : 120
What is the solution to the equation 2 (4 minus 3 x) + 5 (2 x minus 3) = 20 minus 5 x? x = –13 x = StartFraction 5 Over 4 EndFraction x = StartFraction 13 Over 2 EndFraction x = 3
Answer:
8 - 6x + 10x - 15 = 20 -5x
8 + 4x - 15 = 20 - 5x
8 - 15 = 20 - 9x
6 = 20 - 9x
-14 = -9x
divide by -9 .736
Step-by-step explanation:
The solution of the equation 2 (4 – 3x) + 5 (2x – 3) = 20 – 5x will be 3. Then the correct option is D.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
2 (4 – 3x) + 5 (2x – 3) = 20 – 5x
Simplify the equation, we have
2 (4 – 3x) + 5 (2x – 3) = 20 – 5x
8 – 6x + 10x – 15 = 20 – 5x
9x = 27
x = 3
Then the correct option is D.
More about the solution of the equation link is given below.
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Someone pliss answere this for me
Answer:
1) ∠AEB ≈ 83.7°
2) CE = 6.1 cm
3) BC ≈ 7.1 cm
Step-by-step explanation:
1) Use theorem of cosine
c² = a² + b² - 2ab*cos(α)
4.5² = 3² + 3.7² - 2*3*3.7 *cos(∠AEB)
cos(∠AEB) = (4.5² - 3² - 3.7²) /(- 2*3*3.7) = 0.11
∠AEB = arc cos(∠AEB) = arc cos(0.11) ≈ 83.7°
2)
∠CED =∠AEB = 83.7° as vertical angles
Use law of sine
CD/sin(∠CED) = CE/ sin(∠CDE)
7/sin(83.7) = CE/sin(60°)
CE = 7*sin(60°)/sin(83.7°) = 6.1 cm
3.
∠BEC + ∠CED = 180°
∠BEC = 180° - ∠CED = 180° - 83.7° = 96.3°
Use theorem of cosine
c² = a² + b² - 2ab*cos(α)
BC² = BE² + CE² - 2 BE * EC *cos(∠BEC)
BC² = 3² + 6.1² - 2*3 * 6.1 *cos(96.3°) ≈ 50.23 cm
BC = √(50.23)≈ 7.1 cm
6) La cooperadora de una escuela compró 180 marcadores, 72 cuadernos y 144 lapiceras para repartir entre los alumnos. Se proponen organizar esos materiales en bolsas, que cumplan las siguientes condiciones: • En todas las bolsas debe haber igual cantidad de cuadernos. • En todas las bolsas debe haber la misma cantidad de lapiceras. • En todas las bolsas debe haber idéntica cantidad de marcadores. • La cantidad de bolsas tiene que ser la mayor posible. • No debe sobrar ningún útil
Answer:
Se necesita 36 bolsas con 2 cuadernos, 5 marcadores y 4 lapiceras por unidad.
Step-by-step explanation:
Los cuadernos corresponden a los artículos con menor inventario. Las razones de marcadores y lapiceras por cuaderno son, respectivamente:
Marcadores
[tex]x = \frac{180\,marcadores}{72\,cuadernos}[/tex]
[tex]x = \frac{5\,marcadores}{2\,cuadernos}[/tex]
Cada bolsa debe contener 5 marcadores por cada 2 cuadernos.
Lapiceras
[tex]y = \frac{144\,lapiceras}{72\,cuadernos}[/tex]
[tex]y = \frac{2\,lapiceras}{1\,cuaderno}[/tex]
Cada bolsa debe contener 2 lapiceras por cada cuaderno.
El número máximo de bolsas es:
[tex]z = \frac{72\,cuadernos}{2\,\frac{cuadernos}{bolsa} }[/tex]
[tex]z = 36\,bolsas[/tex]
Se necesita 36 bolsas con 2 cuadernos, 5 marcadores y 4 lapiceras por unidad.
A class has 36 students and it is divided into two groups which are in the ratio 3:6. How many students in each group?
Answer:
12:24
Step-by-step explanation:you simplify the ration to 1:2 and then divide 36 by 3 which is 12 and then times 1x12=12 and 12x2=24 and 24 +12=36
Answer:
Step-by-step explanation:
if you add the 3 and 6 from the ratio which is 9, then you have to divide 36 by 9 and times the numbers by 9 which gives you= 12:24
i hope this helps mark as brainlist please x
Solve the equation y + 6 = -3y +29
Answer:
y = 23/4
Step-by-step explanation:
y + 6 = -3y +29
Add 3y to each side
y+3y + 6 = -3y+3y +29
4y+6 = 29
Subtract 6 from each side
4y +6-6 = 29-6
4y = 23
Divide by 4
4y/4 = 23/4
y = 23/4
Find the perimeter of this figure?
Answer:
22 in.
Step-by-step explanation:
7+4+7+4 = 14+8 = 22
in 1975 the population of the village was 900 it increased by 30% the following year what was the population of the year 1976
Answer:
1170
Step-by-step explanation:
Total Population = 900
Annual rate of increase = 30 % of 900
=> [tex]\frac{30}{100}*900[/tex]
=> 30 * 9
=> 270
Population next Year = 900+270
=> 1170
Convert 225% to a simplified fraction and a decimal. 225% = a number a number/ a number = a number
Answer:
2.25 & 2 1/4
Step-by-step explanation:
To convert from percent to decimal, divide by 100 (or simply move the decimal two spots to the left.
So, 225% as a decimal is 2.25
To make it a fraction, keep the whole number and put the fraction over 100
2 25/100
Reduce the fraction by 25 so your answer is 2 1/4
Answer:
2/1 4
2.25
Step-by-step explanation:
Solve for x in the equation x squared + 20 x + 100 = 36.
x = –16 or x = –4
x = –10
x = –8
x = 4 or x = 16
x=-4 if you are in a hurry
The solution of the equation are; x = -16 or x = -4. so option A is correct.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given equation;
x²+ 20 x + 100 = 36.
x²+ 20 x + 100 - 36 = 0
x²+ 20 x + 64 = 0.
x²+ (16 + 4)x + 64 = 0.
x²+ 16x + 4x + 64 = 0.
x(x + 16) +4 (x + 16) = 0.
(x+ 4) (x + 16) = 0
Thus, the solution of the equation are; x = -16 or x = -4.
Learn more about quadratic equations;
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Una persona que está situada entre dos montañas emite un sonido, si percibe el primer eco a los 2 seg, y el siguiente a los 3 seg. ¿Cuál es la separación de la montaña?
Answer:
1715 metros
Step-by-step explanation:
Lo que debemos hacer es calcular la distancia del primer y del segundo eco.
Debemos conocer la velocidad del sonido que en términos generales es 343 m/s, por lo tanto, la distancia sería igual a:
v = d/t => d = v*t
d1 = 343*2 = 686 metros
d2 = 343*3 = 1029 metros
La separación sería la suma de ambas distancias así:
686 + 1029 = 1715
1715 metros sería la distancia de separación entre ambas montañas.
Bailey and Jade both play basketball. The table and graph show the total number of games that each of their teams won over six weeks. A coordinate plane labeled Jade's Team. The x-axis is labeled Weeks and the y-axis is labeled Wins. Points plotted are (1, 0), (2, 1), (3, 3), (4, 5), (5, 6), and (6, 7). Bailey’s Team Number of weeks Wins 1 2 2 2 3 3 4 4 5 4 6 6 After which week had the two teams won the same number of games?
Answer:
week 3
Step-by-step explanation:
week 3 is correct, because both of their teams have 3 wins for week 3 as stated on Bailey's table and plotted on Jade's graph.
complete the two colum roof
Answer:
If angle 2 = 110 then angle 4 = 110
360 = 110 + 110 + x
Angle 1 + Angle 3 = 140
Since vertical angles are equal, then Angle 1 = 140 / 2 = 70 degrees
Step-by-step explanation:
Step-by-step explanation:
∠3+∠4= 180°
Since ∠2 ≅ ∠ 4 and ∠2= 110°
∠3= 180° - ∠4= 180° - ∠2= 180° - 110°= 70°
So proved
Calculate 85% of 2 500m
Answer:
Step-by-step explanation:
85% of 2500 m
= 85/100 × 2500 = 2125 m
hope this helps
plz mark it as brainliest!!!!!!
Answer:
2125
Step-by-step explanation:
85% times 2500
NEED MATH HELP NOW!!!PLEASE HELP!!!
Answer:
Step-by-step explanation:
The given equation of a parabola is,
[tex]y=-\frac{1}{2}(x+3)^2+4[/tex]
When we compare this equation with the vertex form of the quadratic equation,
y = a(x - h)² + k
where (h, k) is the vertex,
Vertex of the parabola,
(-3, 4)
y-intercept,
[tex]y=-\frac{1}{2}(0+3)^2+4[/tex]
[tex]y=-\frac{9}{2}+4[/tex]
[tex]y=-\frac{1}{2}[/tex]
x-intercepts,
[tex]0=-\frac{1}{2}(x+3)^2+4[/tex]
[tex]\frac{1}{2}(x+3)^2=4[/tex]
(x + 3) = ±√8
x = (3 - 2√2), (3 + 2√2)
Axis of symmetry,
x = -3
Domain:
(-∞, ∞)
Range:
(-∞, 4]
what is the value of v?
(picture attached)
PLEASE ANSWER ASAP!!!
Answer:
v=12
Step-by-step explanation:
180-12v+13v-50+38=180
168+v=180
v=12
Find the area of this irregular figure. All angles are right angles. 128 in2 296 in2 256 in2 80 in2
Answer:
256in²
Step-by-step explanation:
Just add the area the two Rectangals = A=128*2 = 256in² or calclute the whole and deduct the 2 missing sqares 16
384-128=256in²
Simplify
[tex] {a}^{3} {b}^{ - 5} \times {a}^{4} {b}^{2} [/tex]
[tex]a^3 \times b^{-5} \times a^4 \times b^2[/tex]
[tex]a^3 \times a^4 \times b^2 \times b^{-5}[/tex]
[tex]a^{3+4} \times b^{2+(-5)}[/tex]
[tex]a^7 \times b^{2-5}[/tex]
[tex]a^7 \times b^{-3}[/tex]
[tex]\frac{1}{b^3}a^7[/tex]
[tex]\frac{1\times \:a^7}{b^3}[/tex]
[tex]\displaystyle \frac{a^7}{b^3}[/tex]
