Answer:
5
Step-by-step explanation:
4x-9y= -1
so change 4x-9y to 1 in
6+(-1) = 5
Answer:
4x-9y=-1
4x=-1+9y
Step-by-step explanation:
6+4x-9y
6+(-1+9y)-9y
6-1+9y-9y
5+0
5
The roof of an airplane hanger is a parabola with the focus located 32 feet from the vertex. If the building is 200 feet wide and the side walls are 25 feet tall, find the maximum height of the hangar.
Answer:
[tex]h_m=103.125ft[/tex]
Step-by-step explanation:
From the question we are told that:
Focus [tex]F=32ft[/tex]
Width of building [tex]W=200ft[/tex]
Height[tex]h=25[/tex]
Generally the equation for the Parabola is mathematically given by
[tex]y^2=4ax[/tex]
[tex]y^2=128x[/tex]
[tex]y^2=128b^2[/tex]
[tex]y=\pm8\sqrt{2b}[/tex]
[tex]b=\frac{25}{2\sqrt{2}}[/tex]
Therefore
[tex]x=b^2[/tex]
[tex]b^2=\frac{625}{8}[/tex]
Generally the Generally the equation for momentum is mathematically given by mathematically given by
[tex]h_m=x+h\\h_m=\frac{625}{8}+25[/tex]
[tex]h_m=\frac{825}{8}ft[/tex]
[tex]h_m=103.125ft[/tex]
need a answer for this please
Find the area of each regular polygon
I need help solving this problem. 15-1(12÷4+1)
Answer:
11
Step-by-step explanation:
1. First do the brackets because BEDMAS
So, (12÷4+1) = 4
2. 15 - 1 x 4
3. 15 - 4
4. 11
Hope this helps! :)
Use the symbolab website/app it's really helpful
License plates are made using 2 letters followed by 4 single digits. If any letter can be only used once but the digits can be repeated how many plate numbers are available?
Answer:
6,500,000
Step-by-step explanation:
Here, we first need to find all the possible selections for the code.
Then, we need to find the number of options for each one of these selections.
We have, 2 letters followed by 4 single digits.
There are 26 letters
There are 10 single digits.
For the first letter, we have 26 options.
For the second letter, we have 25 options (because one is already taken, and we can repeat that)
And for each one of the numbers, we have 10 options (we can repeat the numbers)
The total number of options for the code, is equal to the product of all the numbers of options for each selection, then the total number of possible plate numbers is:
C = 26*25*10*10*10*10 = 6,500,000
Find the value of x.
6x
2x
11.25
0 16.25
58
032
Answer:
x = 11.25
Step-by-step explanation:
The sum of the angles is 90 degrees since it is a right angle
6x+2x = 90
8x = 90
Divide each side by 8
8x/8 =90/8
x =11.25
What is the approximate measure of the length of the tennis court, x? A. 49.9 ft B. 72.0 ft C. 93.1 ft D. 78.0 ft
(6. solve for x )
225 multiplyed by 1/3 = x
Answer:
Step-by-step explanation:
225*1/3=x
225/3=x
75=x
A tire has a diameter of 42 inches. How far along the ground does the tire travel if it rolls and makes 5 revolutions? Use 3.14 as an approximation for
Answer:
659.4 inches
Step-by-step explanation:
C = 2*3.14*21
C = 131.88
131.88*5 = 659.4 inches
PLS HELP
AND PLEASE EXPLAIN
Answer:
x=6, y=5 1/3 or 5.3333
Step-by-step explanation:
In circle M secants overline PAMD and overline PBC are drawn from point P such that m arc BM=100 and m arc CD=62. Which of the following is the measure of angle P?
1) 19
2) 22
3) 34
4) 40
If CD represents 100%, what is the length of a line segment that is 25%? Explain.
Answer:
(1/4)CD
Step-by-step explanation:
The length of a segment that represents 25% will be 1/4 as long as the segment representing 100%.
25% is 1/4 of 100%
25% = 1/4 = 0.25
An Australian Wallaby walked 5 miles to the coast in 3 and 3/4 hours. What was the wallabys speed in miles per hour?
Answer:
1 1/3 mph
Step-by-step explanation:
distance = rate x time
5 = 3.75r
5/3.75 = r
r = 1 1/3 mph
[tex]2h-3\ \textgreater \ 15[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{2h - 3 }\mathsf{>}\large\textsf{ 15}[/tex]
[tex]\large\text{ADD 3 to BOTH SIDES}[/tex]
[tex]\large\textsf{2h - 3 + 3 }>\large\textsf{ 15 + 3}[/tex]
[tex]\large\text{CANCEL out: \textsf{-3 + 3} because that gives you 0}[/tex]
[tex]\large\text{KEEP: \textsf{15 + 3} because it helps you solve for your h-value}[/tex]
[tex]\large\textsf{15 + 3 = \boxed{\large\textsf{\bf 18}}}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{2h} }\mathsf{>}\large\textsf{ 18}[/tex]
[tex]\large\text{DIVIDE 2 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{2h}{2}>\dfrac{18}{2}}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\text{ because it gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{18}{2}}\large\text{ because it gives you your h-value is being compared to}[/tex]
[tex]\large\text{NEW EQUATION: }\mathsf{h > \dfrac{18}{2}}[/tex]
[tex]\mathsf{\dfrac{18}{2}}[/tex]
[tex]\mathsf{= 18\div 2}[/tex]
[tex]=\boxed{\mathsf{\large\textsf {\bf 9}}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf h > 9}}}\huge\checkmark\\\\\boxed{\boxed{\rm \bf It\ it\ an\ O P E N E D\ circle\ shaded}}\\\boxed{\boxed{\rm \bf to\ the\ right\ starting\ at\ point\ 9}}\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex] \quad \quad \quad \quad\tt{2h - 3 > 15}[/tex]
Let's solve![tex] \quad \quad \quad \quad\tt{2h - 3 > 15}[/tex]
Add both sides by 3.[tex] \quad \quad \quad \quad\tt{2h - 3 + 3 > 15 + 3}[/tex]
[tex]\quad \quad \quad \quad\tt{2h \: \: \cancel{ \color{red}- 3 + 3} \: > 15 + 3}[/tex]
[tex]\quad \quad \quad \quad\tt{2h > 18}[/tex]
Divide it by 2.[tex]\quad \quad \quad \quad\tt{ \frac{2h}{2} > \frac{18}{2} }[/tex]
[tex]\quad \quad \quad \quad\tt{ \frac{ \cancel{ \color{red}2}h}{ \cancel{ \color{red}2}} > \frac{18}{2} }[/tex]
[tex]\quad \quad \quad \quad\tt{ h > \frac{18}{2} }[/tex]
[tex]\quad \quad \quad \quad\tt{ h > 9}[/tex]
Hence the answer is:[tex]\quad \quad \quad \quad \boxed{\tt { \color{green}h > 9}}[/tex]
________
#LetsStudy
what sum of money amounts to Rs 60000 in 2 years at the rate of 10% per annum find it
Answer:
Rs.27000
Step-by-step explanation:
60000 ÷ 2 = 30000 per year
30000 × [tex]\frac{10}{100}[/tex] = Rs. 3000
30000 - 3000 = Rs. 27000
Find area of the composite figure..
Answer:
627square inches
Step-by-step explanation:
Area of the composite figure.. = area of triangle + area of parallelogram
Since the triangle is an equilateral triangle;
Area of the triangle = r²sintheta
Area of the triangle = 18²sin60
Area of the triangle = 324sin60
Area of the triangle = 324(0.8860)
Area of the triangle = 280.584 square in
Area of the triangle = 281 square inches
Area of parallelogram = absintheta
Area of parallelogram = 20(20)sin60
Area of parallelogram = 400(0.8660)
Area of parallelogram = 346.4square inches
Area of parallelogram = 346 square inches
Area of the figure = 346 + 281
Area of the figure = 627square inches
13. Jack has to make at least $140 per week mowing lawns. He makes $20 per lawn. At least
how many lawns does he need to mow?
Answer:
7
Step-by-step explanation:
you divide 140 by 20 & it gives you 7 i hope this helps ..
Which of the following set of angles is possible for a triangle
Answer:
2. Isosceles
4. 25, 65, 90
Step-by-step explanation:
Isosceles triangles have two equivalent sides
All the interior angles of triangles always add up to 180 degrees
help me please this due in 20 mins dont add a link you'll get reported
Answer:3
Step-by-step explanation:
3-6*12
87the answer is 46. A two-story building measures 21 feet
from the ground. A scale model shows the
building to be 3 inches tall. How many inches
would an 84 foot building be in the model?
1
1
-
height:
Answer:
11.5 inches
Step-by-step explanation:
Elena is feeding her neighbor's dogs. Each dog gets two thirds, cup of dog food, and she uses three and one-third cups of food. How many dogs does her neighbor have?
Five, five and an eighth cups of water fill four, one-half identical water bottles. How many cups fill each bottle ?
Answer:
Remember that:
[tex]\frac{a/b}{c/d} = \frac{a}{b}*\frac{d}{c}[/tex]
A) We know that:
Each dog gets (2/3) of a cup of food.
Elena used 3 + 1/3 cups of dog food, then, how many dogs there are?
The number of dogs is equal to the quotient between the total amount of food used and the food that a single dog needs, this is:
[tex]N = \frac{3 + 1/3}{2/3}[/tex]
We can rewrite the numerator as:
3 + 1/3 = 3*(3/3) + 1/3 = 9/3 + 1/3 = 10/3
Replacing that in the above equation, we get:
[tex]N = \frac{10/3}{2/3} = \frac{10}{3} *\frac{3}{2} = 10/2 = 5[/tex]
There are 5 dogs.
B)
We know that:
5 + 1/8 cups of water, can fill four bottles.
Then, how many cups we need for each bottle?
Assuming that each bottle holds the same amount of water, then each bottle will hold a fourth of (5 + 1/8) cups of water.
This is the quotient between (5 + 1/8) cups of water and 4.
[tex]K = \frac{5 + 1/8}{4}[/tex]
We can rewrite the numerator as:
5 + 1/8 = 5*(8/8) + 1/8 = 40/8 + 1/8 = 41/8
Replacing that we get:
[tex]K = \frac{41/8}{4} = \frac{41}{8} *\frac{1}{4} = 41/32[/tex]
We can rewrite this as a mixed number in the next way:
[tex]K = \frac{41}{32} = \frac{32 + 9}{32} = \frac{32}{32} + \frac{9}{32} = 1+ 9/32[/tex]
So with 1 and 9/32 cups of water we can fill one of the bottles.
A quadratic equation that has x-intercepts of (-2,0) and (8,0), a stretch of 3 and a vertex is a minimum. Find the equation of the parabola
Answer:
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.
Step-by-step explanation:
Resh's gross pay is $1300 per fortnight. Fortnightly deductions from her gross pay are: PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay??
Answer:
$1182.65
Step-by-step explanation:
Given :
Fortnight gross pay = $1300
Given :
PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay
FNPF = 5% = 0.05 * $1300 = $65
PAYE = $31.85 ; HEALTH INSURANCE = $20.50
Total deduction = $(65 + 31.85 + 20.50) = $117.35
Net pay :
Gross pay - deduction
$1300 - $117.35 = $1182.65
En una compañía se realiza una encuesta a 200 personas, se encontró la siguiente distribución, en el uso de máquinas eléctricas, mecánicas y computadoras: Eléctricas 110, mecánicas 50, computadoras 60. Mecánicas y computadoras 25, eléctricas y computadoras 35, eléctricas y mecánicas 40. Las tres 20 y 60 nada. A) Encuentre el número de personas que o usan computadora. B) Que usen una maquina eléctrica pero no computadora. C) Que usen solo un equipo. D) Que usen mecánica y eléctrica pero no computadora. E) Cuantos no tienen ni maquina eléctrica ni mecánica.
Answer:
A) 140
B) 75
C) 80
D) 20
E) 80
Step-by-step explanation:
Para resolver este problema debemos construir un diabrama de Venn y llenarlo según los datos que se nos brindan.
Comenzamos nombrando cada círculo:
E= personas que usan máquinas eléctricas
M= personas que usan máquinas mecánicas
C = personas que usan computadoras.
- Luego llenamos el área central con un 20, el cual representa las personas que usan los 3 tipos de maquinas.
- En la parte exterior del diagrama de Venn colocamos un 60 por las personas que no usan ninguna de las máquinas.
- En la intersección entre M y C restamos:
25-20=5
Entonces colocamos este 5 en esa región.
- En la intersección entre E y C restamos:
35-20=15
Entonces colocamos este 15 en esa región.
- En la intersección entre E y M restamos:
40-20=20
Entonces colocamos este 20 en esa región.
- En la región de E restamos:
110-20-20-15=55
Entonces colocamos este 55 en esa región.
- En la región de M restamos:
50-20-20-5=5
Entonces colocamos este 5 en esa región.
- En la región de C restamos:
60-15-20-5=20
Entonces colocamos este 20 en esa región.
Y obtenemos el diagrama de Venn que representa esta encuesta (Ver figura adjunta)
Y ahora ya lo podemos usar para responder a las preguntas:
A) Número de personas que no usan computadora. Sumamos los números fuera del círculo C:
55+20+5+60=140
B) Número de personas que usan una máquina eléctrica pero no computadora: Sumamos los números dentro del círculo E con excepción de los números compartidos por el círculo C y obtenemos:
55+20=75
C) Número de personas que usan solo un equipo: Sumamos los números no compartidos en los círculos E, M y C
55+20+5=80
D) Número de personas que usan máquina mecánica y eléctrica pero no computadora: Usamos el número compartido entre E y M que no son compartidos con C
20
E) Sumamos el número que se encuentra solo en C y los que están afuera del diagrama:
20´60=80
what is the pattern rule for 1. 25, 1, 0.75, 0.50,0.25
Answer:
-0.25n + 1
Step-by-step explanation:
Difference between all numbers: -0.25
Hence,
[tex]t_n = -0.25n + 1[/tex]
Feel free to mark it as brainliest :D
Write down the percentage multiplier used to decrease an amount by 45%
Awnser this please and thank you if u don’t not give me bad awnsers I will give u a brainliest
Answer:
slope = 20
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (10, 200) ← 2 points on the line
m = [tex]\frac{200-0}{10-0}[/tex] = [tex]\frac{200}{10}[/tex] = 20
Taylor has eight more than four times as many stickers as her sister. Which expression represents the number of stickers that Taylor has if the variable s represents the number of stickers that her sister has?
A 8s+4
B 4s+8
C 4+s+8
D 12s
Answer:
It would be B
Step-by-step explanation:
?????????!!?????????????!!!????
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Order these numbers from least to greatest.
3.4051, 3.006, 3.06, 3.4
I need the right answer i need the right answer
Answer:
3.006, 3.06, 3.4, 3.4051
Step-by-step explanation:
3.006 < 3.06 < 3.4 < 3.4051