Answer:
11/4
Step-by-step explanation:
What values of x satisfy this inequality? 5x + 71 ≥ −14
Answer:
≥-17
Step-by-step explanation:
What is the volume of this sphere rounded to the nearest hundredth?
Answer:
2144.7
Step-by-step explanation:
Volume of a sphere is V= [tex]\frac{4}{3} \pi r^{3}[/tex]
V= [tex]\frac{4}{3} \pi 8^{3}[/tex]
V=(4 /3)·π·8^3≈2144.66058 --> 2144.7
Given 2x-2y=23 find x when y=9
Answer:
x= 20, 5
Step-by-step explanation:
Sub y into equation to find x
2x - 2 (9)= 23
2x-18 =23
2x= 23+18
2x= 41
x=41/2
x= 20,5
Use Substitution to solve the following System of Equations.
y=-22 - 4
y = 4x + 2
Oh
Answer:
X=4
Y=18
I think
Answer:
(- 1, - 2 )
Step-by-step explanation:
Given the 2 equations
y = - 2x - 4 → (1)
y = 4x + 2 → (2)
Substitute y = 4x + 2 into (1)
4x + 2 = - 2x - 4 ( add 2x to both sides )
6x + 2 = - 4 ( subtract 2 from both sides )
6x = - 6 ( divide both sides by 6 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (2)
y = 4(- 1) + 2 = - 4 + 2 = - 2
solution is (- 1, - 2 )
There 10 years in one decade Deron he is two decades for years and eight months old his brother John is half as old how old is John
Answer:
John is 12 years and 4 months old !!
Step-by-step explanation:
Which expression is equivalent to -5(1+7x)+3(3+4x)
Answer:
0(2+14x)+6(6+8x)
Step-by-step explanation:
what is 20% times what equals 30
Answer:
20%×X=30
x=150
Step-by-step explanation:
30÷20%=150
20%×150=30
2 EASY QUESTIONS I NEED HELP
Answer:
a=10.5
b=5.4
Step-by-step explanation:
state the relation between the quantities involved
Answer:
The domains (D) is the double/multiple of each range (R).
Step-by-step explanation:
The D is the multiple of each double (R). For example:
R is 1, so 1x1 is D 1.
R is 3, so 3x3 is D 9.
And so on.
Hope it helps! :)
a watch is sold for $130 at a loss of $30. what was the original cost of the watch
Answer:
130.00 + 30.00 = $160.00
Step-by-step explanation:
Solve the following systems system.
A) 2y = x + 1
-2x – y = 7
B) 3x - 2y = 8
2x - 2y = 5
C) 6x - 4y = 54
-9x + 2y = -69
Lizzo is building a storage container in her basement the container will have two sections that are connected how many cubic foot boxes cant you store in the container
Answer:
312
Step-by-step explanation: You need to multiply your numbers and I don't know if you got my numbers.
If anybody can help me pls do
the average of 5 numbers is 64. When a sixth number is added, the average becomes 66. What is the sixth number?
Step-by-step explanation:
5x64=32066=(320+x} 666x6={320+x)396=320+x=396-320
Last week, it rained g inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain that fell this week? Select all that apply.
Answer:
Step-by-step explanation:
5%×g= 5g/100
g-5g/100
Find the volume of the regular hexagonal pyramid if the lateral edge is 15 feet.
Answer:
Volume of the given pyramid = 1122.37 cubic feet
Step-by-step explanation:
Volume of the regular hexagonal pyramid = [tex]\frac{1}{3}(\text{Area of the base})(\text{Base})[/tex]
Measure of internal angle of a polygon = [tex]\frac{(n-2)\times 180}{n}[/tex]
Here, n = number of sides of the polygon
For a hexagon, n = 6
Measure of interior ∠C = [tex]\frac{(6-2)\times 180}{6}[/tex]
= 120°
Measure of ∠BCD = [tex]\frac{120}{2}[/tex]
= 60°
By applying tangent rule in ΔCED,
tan(∠ECD) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(60°) = [tex]\frac{DE}{CE}[/tex]
[tex]\sqrt{3}=\frac{DE}{6}[/tex]
DE = [tex]6\sqrt{3}[/tex] feet
And cos(60°) = [tex]\frac{EC}{CD}[/tex]
[tex]\frac{1}{2}=\frac{6}{CD}[/tex]
CD = 12 feet
Area of ΔBCD = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(6\sqrt{3})(12)[/tex]
= [tex]36\sqrt{3}[/tex] feet
Area of hexagonal Base of the pyramid = [tex]6(36\sqrt{3})[/tex]
= 216√3 square feet
Since, lateral height of the pyramid (AC) = 15 feet
By applying Pythagoras theorem in ΔADC,
AC² = AD² + CD²
(15)² = AD² + (12)²
AD = [tex]\sqrt{225-144}[/tex]
AD = 9 feet
Volume of the given pyramid = [tex]\frac{1}{3}(216\sqrt{3})(9)[/tex]
= 648√3 cubic feet
= 1122.37 cubic feet
Trigonometry Question:
Find the length of side AB
Give your answer to 1 decimal place
Answer:
5.6 cm
Step-by-step explanation:
use the cosine ratio to get the answer since AB is the adjacent side and the hypotenuse has already been given
Write the equation of each line. State its slope and y-intercept, if they exist.
Answer:
4. a) y=1x+2
b) y=0x
c) y=0x
d) y=1x+0
Step-by-step explanation:
The formula for slope intercept form is y=mx+b and the formula for slope is rise/run.
b= y intercept and m=slope.
4.b and 4.c do not cross the y intercept.
The library wants to display all the books on shelves in rows.
Each row has the same number of books and the same type
of books. How many books could be in each row? Explain
how you found your answer.
Answer:
4 books
Step-by-step explanation:
the three numbers can divisible by 4
Hope this right.But if it's not,im so sorry..Have a nice day
.La señora Juanita encargó a su hijo Juan que realice las compras en el supermercado por dos días consecutivos. Después de una semana la Sra. Juanita le preguntó a su hijo Juan cuánto costó el kilogramo de naranjas y el kilogramo de manzanas. Juan manifestó que sólo recordaba que el primer día gastó 8,90 soles en total, al comprar 1 kg de naranjas y 4 kg de manzanas; y que el segundo día gastó 24,50 soles al comprar 5 kg de naranjas y 10 kg de manzanas. ¿Cuánto costó cada kilogramo de naranja y de manzanas?
Answer:
El precio de cada kilogramo de naranja y de manzana es 0.9 soles y 2 soles respectivamente.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso, se debe plantear un sistema de ecuaciones. Se determinan las variables:
x: precio de cada kilogramo de naranjay: precio de cada kilogramo de manzanasJuan el primer día gastó 8,90 soles en total al comprar 1 kg de naranjas y 4 kg de manzanas; y el segundo día gastó 24,50 soles al comprar 5 kg de naranjas y 10 kg de manzanas. Entonces el sistema de ecuaciones a resolver es:
[tex]\left \{ {{x+4*y=8.90} \atop {5*x+10*y=24.50}} \right.[/tex]
Se decide resolver el sistema a través del método de sustitución, que consiste en despejar una de las incógnitas en una de las ecuaciones y sustituir su valor en la siguiente. En este caso despejando la variable x de la primera ecuación se obtiene:
x= 8.90 - 4*y
Reemplazando esta expresión en la segunda ecuación se obtiene:
5*(8.90 -4*y) + 10*y=24.50
Resolviendo se obtiene:
5*8.90 -5*4*y + 10*y=24.50
44.5 -20*y + 10*y=24.50
-20*y + 10*y=24.50 -44.5
-10*y= -20
y= (-20)÷ (-10)
y= 2
Reemplazando el valor de y obtenido en la expresión x= 8.90 - 4*y se obtiene:
x= 8.90 - 4*2
x= 8.90 - 8
x=0.9
El precio de cada kilogramo de naranja y de manzana es 0.9 soles y 2 soles respectivamente.
Find the unit rate.
Answer and Step-by-step explanation:
It is 3 dollar per pound.
To figure this out, you would have to divide each number by 8. This reduces 8 pounds to 1 pound, and 24 dollars to 3 dollars.
#teamtrees #PAW (Plant And Water)
Use sigma notation to represent the sum of a geometric series with a first term of 3 and a common ratio of . A. B. C. D.
Answer:
[tex]\Sigma_{k=1}^{n}[3(\frac{10}{9} )^{k-1}][/tex]
Step-by-step explanation:
A geometric sequence is a list of numbers having a common ratio. Each term after the first is gotten by multiplying the previous one by the common ratio.
The first term is denoted by a and the common ratio is denoted by r.
A geometric sequence has the form:
a, ar, ar², ar³, . . .
The nth term of a geometric sequence is [tex]ar^{n-1}[/tex]
Therefore the sum of the first n terms is:
[tex]\Sigma_{k=1}^{n}(ar^{k-1})[/tex]
Given a geometric series with a first term of 3 and a common ratio of 10/9, the sum of the first n terms is:
[tex]\Sigma_{k=1}^{n}[3(\frac{10}{9} )^{k-1}][/tex]
Rachel needs to drive a total of 205.2 miles. So far, she has driven 56 miles. How many more miles must Rachel drive?
miles
X 5 ?
Answer:
205.2/56 = 3.66428571
rounded answer 3.7 hours
Jason started last week with $900 in his checking account. During the week, he wrote the checks below. At the end of the week, jason recurved a paycheck for $534.59. He recorded all of these transactions in his check register. Evaluate jason’s check register. A. Jason did a good job; everything is correctly.
Answer:
D
Step-by-step explanation:
PLATO/ Edmentum
Unit 8: Right Triangles & Trigonometry
Homework 2: Special Right Triangles
Answer:
17.
78\sqrt{3},\ 39\sqrt{3},\ 78\sqrt{3}
19.
6,\ 12,\ 12\sqrt{2}
Step-by-step explanation:
The required values of the x, y, and z in the given triangle are 26√3, 13√3, and 39×√2 respectively.
If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
For triangles,
sin45 = 39/x
z = 39×√2
xsin60 = 39×√2 cos45
x ×√3/2 = 39
x = 39 × 2 / √3
x = 26√3
Now,
cos60= y / x
1/2 = y / 26√3
y = 13√3
Thus, the required value of the x, y, and z in the given triangle are 26√3, 13√3, and 39×√2 respectively.
Learn more about trig ratios here:
https://brainly.com/question/14977354
#SPJ5
NEED HELP!!! PLEASE HURRY AND HELP PLEASEEE
what is 10% of 82. plz help I don't know what it is
Answer: 8.2 ,bro
Step-by-step explanation:
Answer:
8.2
Step-by-step explanation:
82/10=8.2i think this is the answer of the equatin
Nevaeh opened a savings account and deposited the money she received for her birthday. If she did not deposit any additional funds or make any withdrawals, her balance can be calculated using the functie
(0)
= 1,250(1.045)', where t represents the number of years since the initial deposit was made. What does 1, 250 represent in context?
Answer:
the initial amount of money deposited
Step-by-step explanation:
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST
Answer:
12, 24, and 60
I genuinely need help I normally don’t ask help with my homework but I’ve been really struggling on volumes and area
Answer:
A) 843.75 ft³
B) 15.625ft³
C) 54 boxes
Step-by-step explanation:
A) To find the volume of a rectangular prism (the cargo hold is a rectangular prism), you multiply the length, the width and the depth:
Volume = length x width x depth
Volume = 15 x 7.5 x 7.5
Volume = 843.75 ft³ (ft³ or cubic feet is the unit for volume in feet)
B) The volume of a cube (the boxes are cube-shaped) is also found by multiplying the length, the width and the depth:
Volume = length x width x depth
Volume = 2.5 x 2.5 x 2.5
Volume = 15.625ft³
C) To find the amount of boxes that can fit, we see how many times the volume of one box goes into the volume of the cargo hold. Divide the volume of the cargo hold by the volume of the box:
843.75 ÷ 15.625 = 54
Hope this helps, let me know if you want some things explained. : )
What would be the SUM of the lengths of the first and second diagonals rounded to the nearest whole number?
Answer:
16 m
Step-by-step explanation:
Use Pythagorean theorem,
hypotenuse² = base² +altitude²
= 5² +6²
= 25 + 36
= 61
First diagonal = [tex]\sqrt{61}[/tex] = 7.81 m
Second diagonal² = first diagonal² + altitude²
= [tex](\sqrt{61})^{2}[/tex] + 3²
= 61 + 9
= 70
second diagonal = [tex]\sqrt{70}[/tex] = 8.37 m
First diagonal + second diagonal = 7.80 + 8.37 = 16.17 = 16
