Answer:
[tex]3x-10<5\\x<5[/tex]
Step-by-step explanation:
Let x be equal to the number.
We can use what the question gives us to directly form a mathematical statement. When you multiply it by 3 (3x) and then subtract 10 (3x-10) you will get a number less than 5 (<5). Using this, our mathematical statement would look like this:
[tex]3x-10<5[/tex]
To find the range of possible values, we must solve the inequality and isolate x.
[tex]3x-10<5[/tex]
Add 10 to both sides
[tex]3x-10+10<5+10\\3x<15[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}<\frac{15}{3}\\x<5[/tex]
I hope this helps!
You roll a standard number cube (six-sided die) 7 times. Assume that each number is equally likely to come up each time you roll. If there is a 1/3
probability of rolling a number less than 3, what is the probability that a number less than 3 comes up exactly 4 of the 7 times? Round your answer to 3
decimals.
Answer:
.190
Step-by-step explanation:
1/3 probablitliy for rolling a number less than three.
571428 probability for rolling exactly four of the seven times.
1/3 x 4/7 = 190476190476190476190476190476194
Rounded to three decimals =.190
Hope this helps!
Mark Brainliest plz!
En tres partidos de besisbol de fin de Semana, hubo 125,429 espectadores .La Semana siguiente hubi 86,353 especradores cuantos espectadores en total presenciaron los seis partidos en total
Answer:
211,782
Step-by-step explanation:
Esta pregunta es muy fácil porque Los espectadores en total que presenciaron los seis partidos en total es la suma de ambos.
125,429 en uno lado y 86,353 en uno lado. Y eso es igual
125,429 + 86,353 = 211,782
Los espectadores en total que presenciaron los seis partidos en total es 211,782
Find the area of a vertical cross section through the centers of the bases of a cylinder with height of 27 inches and a circumference of about 47.1 inches. Use 3.14 for π.
Answer:
405 in^2
Step-by-step explanation:
Given data
Height= 27in
Circumference= 47.1 in
let us find the radius and the diameter of the base of the cylinder
from
C=2πr
47.1= 2*3.142*r
47.1= 6.284r
r= 47.1/6.284
r= 7.5 in
Diameter= 2r
D= 7.5*2
D= 15in
Hence the area of the cross-section
=H*D
=27*15
=405 in^2
what 20,000 divided by 24 ?
Answer:
833.3333333
Step-by-step explanation:
hope this helps
Step-by-step explanation:
[tex]\qquad\sf\dashrightarrow 20000/24 [/tex]
[tex]\qquad\sf\dashrightarrow 10000/12 [/tex]
[tex]\qquad\sf\dashrightarrow 5000/6 [/tex]
[tex]\qquad\sf\dashrightarrow 2500/3 [/tex]
[tex]\qquad\sf\dashrightarrow 833.3 [/tex]
What is the positive value of “x”?
x(x+5)=387
Hint: Use the quadratic formula
Answer:
x= −5−11√13/2, −5+11√13/2Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form:
x= −5−11√13/2, −5+11√13/2
Decimal Form:
x=17.33053201…,
−22.33053201…
Step-by-step explanation:
x(x+5)=387
Simplify
x(x+5).
x^2+5x=387
Subtract 387 from both sides of the equation.
x^2+5x−387=0
Use the quadratic formula to find the solutions.
−b±√b^2−4(ac)/2a
Substitute the values a=1, b=5, and c= −387 into the quadratic formula and solve for x.−5±√5^2−4⋅(1⋅−387)/2⋅1
Simplify.
x=−5±11√13/2
The final answer is the combination of both solutions.
x=−5−11√13/2, −5+11√13/2
The result can be shown in multiple forms.
Exact Form:
x=−5−11√13/2,−5+11√13/2
Decimal Form:
x=17.33053201…,
−22.33053201…
Hope it is helpful....Answer:
[tex]\displaystyle x=\frac{-5+11\sqrt{13}}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
x(x + 5) = 387
Step 2: Identify Variables
Rewrite
[Distributive Property] Distribute x: x² + 5x = 387[Subtraction Property of Equality] Subtract 387 on both sides: x² + 5x - 387 = 0Part: a = 1, b = 5, c = -387Step 3: Solve for x
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-5\pm\sqrt{5^2-4(1)(-387)}}{2(1)}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{-5\pm\sqrt{25-4(1)(-387)}}{2(1)}[/tex][√Radical] Multiply: [tex]\displaystyle x=\frac{-5\pm\sqrt{25+1548}}{2(1)}[/tex][√Radical] Add: [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2(1)}[/tex][Fraction - Denominator] Multiply: [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2}[/tex][Fraction - √Radical] Simplify: [tex]\displaystyle x=\frac{-5\pm 11\sqrt{13}}{2}[/tex]What number goes in the blank? (-3)(?)=36 *
Answer:
-12
Step-by-step explanation:
-3x=36
x=36/-3
x=-12
Answer:
-12
Because (-3)(-12)=36
any negative number multiplied by another = positive number :3
Herbert is decorating the bulletin board at school.The bulletin board is 7 ft by 11 ft.He decides to add a black border.What is the length of the border needed?
Answer:
36 feets
Step-by-step explanation:
The dimension of bulletin board = 7 feets by 11 feets
Bulletin boards are shaped as a rectangle :
To add a black border ; two of the sides will be of length 7 feets (length) while the other 2 will be of 11 feets (width) each or vice-versa
However, total Lenght of black border :
(11 * 2) + (7 * 2)
22 + 14
= 36 feets
A student solves the inequality −5v>55. Each step in the student's solution is shown below. Identify where the student made any errors.
Note: Steps of student are not given. So, the proper steps of the solution are provided below.
Given:
The inequality is
[tex]-5v>55[/tex]
To find:
Where the student made any errors?
Solution:
We have,
[tex]-5v>55[/tex]
On dividing both sides -5 change the sign of equality because -5 is a negative number.
[tex]\dfrac{-5v}{-5}<\dfrac{55}{-5}[/tex]
[tex]v<-11[/tex]
Therefore, the solution of given inequality is [tex]v<-11[/tex].
What is The slope of (6,5) and (14,35)
Answer:
15/4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(35-5)/(14-6)
m=30/8
simplify
m=15/4
Answer:
Step-by-step explanation:
Slope is defined as
m=(y2-y1)/(x2-x1), we have points (6,5) and (14,35) so
m=(35-5)/(14-6)
m=30/8
m=3.75
Five Saturnians are shown below. Bruce is frowning and has the same antennae as Eve. Abby and Cindy are both smiling but only one has three eyes. Dave, Eve, and Cindy all have the same number of eyes. Eve is pictured directly to the left of Dave. Which Saturnian is smiling and has curved antennae.
Answer:
! will edit once i get a response !
Step-by-step explanation:
do you have a picture? if so, please upload it
lamont cotton is 4% comission on the first 10,000 of monthly sales mens 10% on all sales over 10,000. last month his 38,00. what was his comission
Given:
Lamont cotton is 4% commission on the first 10,000 of monthly sales and 10% on all sales over 10,000.
Consider his last month sales is 38,000.
To find:
The total commission.
Solution:
4% commission on the first 10,000 of monthly sales is
[tex]10,000\dfrac{4}{100}=400[/tex]
Sales over 10,000 is
[tex]38,000-10,000=28,000[/tex]
10% commission on all sales over 10,000 is
[tex]28,000\times \dfrac{10}{100}=2,800[/tex]
Now, the total commission is
[tex]400+2,800=3,200[/tex]
Therefore, the total commission is 3,200.
¿entre las fracciones 33/96 y 34/96 podrían encontrarse más números fraccionarios? ¿ cuántos?
What is the surface area of this square pyramid? Please help
Evaluate (49/64) ^1/2 write it as a fraction
Answer:
7/8
Step-by-step explanation:
Get rid of the ( )
put the 49/64 into a √ sq root and it cancels out the 1/2
49/64 whats the square root of 49? 7 Ss root of 64 is 8
7/8
what r passing marks out of 40
Answer:
36/40 - A, 32/40 - B, 28/40 - C, and 24/40 - D
Step-by-step explanation:
Answer:
18 is ur answer
thank youplzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Answer:
20
Step-by-step explanation:
When you simply the improper fractions, you will get this
[tex]9 + 11 = 20[/tex]
Which is 20
Hope this helped
Answer: 20 or 20 1/2
Step-by-step explanation:
I don’t know really but the real answer is 20 1/18
Tom is playing at the opposite corner of the playing field to his friend . If the playing field is 180m wide and Tom is 300m away from his friend, how long is the playing field
Answer:
240 m
Step-by-step explanation:
we can picture this as a right triangle
(180)^2 + (l)^2 = (300)^2
300 would be the diagonal of the triangle since it is at the opposite corner
180 would be the height/leg of the triangle
A farm covers land in the shape of a trapezium. The length of the northern boundary of the farm is 265 m and length of the southern boundary is 180 m. The perpendicular distance from the northern end to the southern end is 90 m.
a Draw a diagram of the farm and find its area to the nearest square metre.
b Write your answer to part a to the nearest hectare.
c The farmer decides to purchase his neighbour's farm, which is in the shape of a rectangle but has the same area as his farm. What are possible dimensions neighbour's farm? Give your answer in metres.
Answer:
Step-by-step explanation:
Part A
Givens
b1 = 265
b2 = 180
h = 90
Formula
Area = (b1 + b2)*h / 2
Solution
Area = (265 + 180) * 90 / 2
Area = 445 * 90 / 2
Area = 40050 / 2
Area = 20025 square meters
Part B
1 hectare = 10000 square meters
x hectare = 20025 square meters Cross multiply
x * 10000 = 20025 * 1 Divide by 10000
x = 20025 / 10000
x = 2.0025
Rounded to the nearest hectare that would be 2
Part C
The best shape is a square.
That would mean that the area is given by
s^2 = 20025
sqrt(s^2) = sqrt(20025)
s = 141.51
Each side of the rectangle (square) = 141.51
Brainliest need help plz
A horizontal line has points A , E, D. A line extends vertically from point E to point C and forms a right angle at C E D. A line extends up and to the left from point E to point B. Which statement is true about the given information? ∠CED measures 45°. ∠CED measures 180°. ∠AEC measures 90°. ∠AEC measures 45°.
Answer:
The answer is 90
Step-by-step explanation: Im not 100% sure but yeah.
Can you help me please it’s is due tonight please help me
Answer:
The neighbors paid him 24
A gymnast scores a total of 125 points in the first 4 meets of the season. At this rate, how many points will she score by the end of 14 meets
Answer:
i dont know but will u date me
Step-by-step explanation:
Phil is buying a sandwich. He has the following choices.
Bread: wheat (W), italian (I), baguette (B)
Cheese: grated (G), sliced (S)
Meat: chicken (C), turkey (T), fish (F), ham (H)
If each sandwich consists of one type of bread, one type of cheese, and one type of meat, which best represents four of his possible sandwich choices?
WIG, WCT, WGS, WST
WG, WS, WC, WT
WGT, WGF, WSC, WSH
WGSC, WGT, WBS, WGSF
Answer:
its WG, WS, WC, WT
Step-by-step explanation:
Answer:
wgt, wgf, wsc, wsh
Step-by-step explanation:
Please find the sum for 2/8 + 3/6 hurry please
Answer:
0.75
Step-by-step explanation:
hope this helps you
Necesito ayuda con el punto 4
For babysitting Nicole charges a flat fee of $7, plus $12 per hour. Write and equation for the cost, C, after h hours of babysitting. PLS HELP I WILL GIVE BRAINLIEST
Answer:
C=12h+7
Step-by-step explanation:
The total cost = 7 (flat rate) + 12h (12/hour)
through (2,3); slope = -2
Answer:
y=-2x+7
Step-by-step explanation:
See image
Please help I don't know how to do this
i not sure but i think its 183
Answer:
question 18 asking for a equation for each week 89÷4
question 19 would be 60 + 123 = 183 then 183 ÷ 4 = 45.75
given angle FLY what is tan40?
FL/LY
LY/FL
FY/FL
LY/FY
FY/LY
FL/LY
Answer:
tan = opposite/adjacent
tan 40 = LY/FY
Step-by-step explanation:
convert 4/6 into a decimal
Answer:
.66
Step-by-step explanation:
cmon bro how do u not know this
4 divide 6
.66666666666666666666666666666666666
Four triangles with bases of 12 centimeters and heights of 8 centimeters were used to form a parallelogram. Calculate the area of the parallelogram.
Answer:
192
Step-by-step explanation:
12 x 8 x 4 x1/2 = 192
192
