Answer:
Step-by-step explanation:
[tex]\frac{n}{2} +10=2n-4[/tex]
The equation represent the given situation is n/2 -10 =2n-4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Given that, One half of the number n increased by 10.
That is n/2 -10
Four less than twice the number.
Here, 2n-4
Now, n/2 -10 =2n-4
n/2 -2n = -4+10
(n-4n)/2 = 6
-3n=12
n=-4
Therefore, the equation represent the given situation is n/2 -10 =2n-4.
To learn more about an equation visit:
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Find the circumference for the following circle. use 22/7 for pi.
A.86.6 m
B.33 m
C.8.4 m
D.16.5 m
Answer:
D.16.5m
because circumference=21/7×5.25
=16.5m
6/120 is close to 0, 1/2 or 1
Answer:
0
Step-by-step explanation:
duh
In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class does not have a sister?
Has a brother Does not have a brother
Has a sister
3
12
Does not have a sister
2.
Answer:
Step-by-step explanation:
First we need to calculate how many total students there are. Once we have the total we have to divide the number in the category that we want by the total number of students to calculate the probability of randomly getting a student in that category.
Total Students = 3 + 12 + 2 + 7 = 24 students
Probabilities:
does not have a sister = [tex]\frac{2 + 7}{24}[/tex] = 0.375 or 37.5% (multiply decimal by 100 to get percentage.
Has a brother = [tex]\frac{3 + 2}{24}[/tex] = 0.208 or 20.8%
Does not have a brother = [tex]\frac{12 + 7}{24}[/tex] = 0.7916 or 79.2%
Has a sister = [tex]\frac{3 + 12}{24}[/tex] = 0.625 or 62.5%
2sin^2x+7sin x.cosx-cos^2x=4
Step-by-step explanation:
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What is the solution set of the equation
x + 6 = 2(x + 3) - x?
Answer:
x = all real numbers
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
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
x + 6 = 2(x + 3) - x
Step 2: Solve for x
[Addition Property of Equality] Add x on both sides: 2x + 6 = 2(x + 3)[Distributive Property] Distribute 2: 2x + 6 = 2x + 6Here we see that both sides are identical.
∴ our solution is all real numbers.
So there’s two cell phones the length on first is 8.4 inches the width on the first cell phone is 5.6 inches. On the second cell phone the length is 9.21 inches. The length and width of the two cell phones are proportional. What is the width, inches of the larger of the cell phone?
Answer:
The width, in inches of the larger cell phone is 6.14 inches.
Step-by-step explanation:
To solve we must set up a ratio.
[tex]\frac{8.4}{5.6} = \frac{9.21}{y}[/tex]
After setting this ratio up, we can cross multiply to solve for y.
8.4(y) = 5.6(9.21)
8.4(y) = 51. 576
To get y alone we divide by 8.4 on both sides.
y = 6.14
The width, in inches of the larger cell phone is 6.14 inches.
Jim writes 10^4 words every day how many words does he writes in 10^3 days?
Which input value produces the same output value for the two functions on the graph?
x = –3
x = –1
x = 1
x = 3
Answer:
X=3
Step-by-step explanation:
We have two linear functions which intersect at a point. Linear functions are lines which are made of points that satisfy the function or relationship. This means at the intersection, this point (3,-1), both functions have values. An input of x=3 produces y=-1 in both functions.
2
Use the Pythagorean Theorem (a + b² = c) to find the missing side length.
Answer:
21.4
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2} \\13^{2} + 17^{2} = c^{2} \\169+ 289 = \sqrt{c^{2} } \\\sqrt{458} = \sqrt{c^{2} } \\21.4 = c[/tex]
[tex]\huge\bold{Given:}[/tex]
Length of the base "b" = 17 yd.
Length of the perpendicular "a" = 13 yd. [tex]\huge\bold{To\:find:}[/tex]
The length of the missing side, hypotenuse ("c").
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\boxed{C.\:21.4\:yd}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ \\⇢( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {c}^{2} \\ \\⇢ {c}^{2} = 169 \: {yd}^{2} + 289 \: {yd}^{2} \\ \\⇢c = \sqrt{458 \: {yd}^{2} } \\ \\⇢c = 21.40 \: yd[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:side\:"c"\:is\:21.4\:yd.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {21.4 \: {yd}^{2} }\\ \\ ⇝169 \: {yd}^{2} + 289 \: {yd}^{2} = 457.96 \: {yd}^{2} \\ \\⇝458 \: {yd}^{2} = \: 458\: {yd}^{2} \\\\⇝ L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
It's urgent I need help quick pls help me
Answer:
11
Step-by-step explanation:
16 - 4[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex] - 5
= 16 - 5
= 11
angle I and N are complementary. If angle N has a meause of 48 degrees, find the measure of angle I
Answer:
42°
Step-by-step explanation:
Complementary angles are two angles that add up to 90°
1) 90-48 = 42
Hope this helps! :)
Answer:
angle I = 42 degree
Step-by-step explanation:
In complementary angles sum of two angles ia always 90 degree.
angle I +angle N=90 degree (since they are complementary)
substitute the value of angle N
angle I + 48 = 90
angle I = 90 -48
angle I =42 degree
PLS HELP ME IM RLLY STUCK I WILL GIVE BRAINLIEST
Check the picture below.
Please, help!! Those are the steps that I have so far.
please help me help help help
xy+xb+ya+ab = 32
x(y+b) + a(y+b) = 32
(x+a) (y+b) = 32
4.(y+b) = 32
(y+b) =32/4
(y+b) = 8
OPTION C
help asap will mark brainliest !!!!!!
Question 12(Multiple Choice Worth 1 points)
(01.03 MC)
What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5?
40
41
42
43
Answer:
4²
Step-by-step explanation:
simplified expression of 4 power 4 multiplied by 4 power 3 over 4 power 5.
Answer:
4^2
Step-by-step explanation:
(4^4*4^3)/4^5
4^4 * 4^3 = 4^7 because of an exponent multiplication property, when exponents of the same number multiply, they can just add
4^7/4^5
4^7-5
= 4^2 Because..
another exponent property is that if the exponents of the same number divide, they can subtract! The opposite of the other property!
Which of the following is not a possible value for a probability? (A p e x)
A. 0.001
B. 1/16
C. 0.82
D. 5/4
WWhat is the difference of the polynomials?
(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)hat is the difference of the polynomials?
simplify ,without using a calculator(2 1/2)2 + (0.5)2
Answer:
22
Step-by-step explanation:
Step-by-step explanation:
2 1/2 × 2
=5/2 × 2
=5
(0.5)2
=0.5×2
=1
5+1
=6
Help,anyone can help me do quetion
Answer:
B2--> the answer is 121 degrees.This is because due to alternate interior angles, the triangle
David gasta el 20% de su salario en el pago de los servicios básicos de su casa del resto gasta el 50% en alimentación si al final se queda con 2000 Córdoba cuanto gana David
Answer:
Gana 6666,67 Córdoba de los cuales
gasta 3333,33 en alimentos y 1333,33 en servicios.
Step-by-step explanation:
Se queda 2000 Córdoba
Gasta el 20% de su salario para pagar los servicios básicos de su casa.
Gasta el 50% de su salario en comida.
Suponga que gana x cantidad
luego
x = 0,2x + 0,5x + 2000
x = 0,7x + 2000
x-0,7x = 2000
0,3 veces = 2000
x = 2000 / 0,3
x = 6666,67
Gana 6666,67 Córdoba de los cuales
gasta 3333,33 en alimentos y 1333,33 en servicios.
He keeps 2000 Córdoba
He spends 20% of his salary to pay for the basic services of his hous.
He spends 50% of his salary to pay on food.
Suppose he earns x amount
then
x= 0.2x+0.5x+2000
x= 0.7x+2000
x-0.7x=2000
0.3x= 2000
x= 2000/0.3
x= 6666.67
English
He earns 6666.67 Córdoba out of which
he spends 3333.33 on food and 1333.33 on services .
Please help me with this asap.
Answer:
80
Step-by-step explanation:
10*8=80
Answer:
Step-by-step explanation:
to find height use pythagoras theorem
height be x
a^2+b^2=c^2
x^2+8^2=10^2
x^2+64=100
xx^2=100-64
x^2=36
x=[tex]\sqrt{36[/tex]
x=6
area of the triangle =base*height/2
=8*6/2
=48/2
=24 square units.
I need fast
How many pieces ,each of length 3 ¾ m can be cut from a rope of length 30m?
Answer:
8
Step-by-step explanation:
Divide 30 by 3.75 to get 8.
Hope that this helps!
Sum of two numbers is 5/22. If one of the number is 2/11, then the other number is
Answer:
1/22
Step-by-step explanation:
2/11 = 4/22 therefore 4/22 + x = 5/22 and 5/22 - 4/22 = 1/22
[tex]\huge\bold{Given :}[/tex]
✎ Sum of two numbers = [tex] \frac{5}{22} [/tex]
✎ One of the number = [tex] \frac{2}{11} [/tex]
[tex]\huge\bold{To\:find :}[/tex]
✿ The other number.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\blue{The \:other \:number \:is }[/tex] [tex] \frac{1}{22} [/tex]. ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
❥ Let the other number be [tex]x[/tex].
❥ As per the question, we have
[tex]sum \: of \: the \: two \: numbers = \frac{5}{22} \\ \\ ⇢ \frac{2}{11} + x = \frac{5}{22} \\ \\⇢ x = \frac{5}{22} - \frac{2}{11} \\ \\ ⇢ x = \frac{5}{22} - \frac{2 \times 2}{11 \times 2} \\ \\⇢ x = \frac{5 - 4}{22} \\ \\ ⇢ x = \frac{1}{22} [/tex]
[tex]\sf\purple{Therefore,\:the\:other\:number\:is}[/tex] [tex] \frac{1}{22} [/tex].
[tex]\huge\bold{To\:verify :}[/tex]
[tex] \frac{2}{11} + \frac{1}{22} = \frac{5}{22} \\ \\➪ \: \frac{2 \times 2}{11 \times 2} + \frac{1}{22} = \frac{5}{22} \\ \\ ➪ \: \frac{4 + 1}{22} = \frac{5}{22} \\ ➪ \: \frac{5}{22} = \frac{5}{22} \\ \\ ➪ \: L. H. S. = R. H. S[/tex]
Hence verified. ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Someone plz help me!
Answer:
56.25 cm
Step-by-step explanation:
your teacher wrote the approach already : the law of sines.
in our example we have
sin(28)/27 = sin(102)/c
c×sin(28)/27 = sin(102)
c×sin(28) = 27×sin(102)
c = 27×sin(102)/sin(28) = 27×0.98/0.47 = 56.25 cm
pleaseee fast help me......................prove that the valueof x obtained by sloving 7^x+1/7^x=49*1/49 also satisfy 2^x-2^2=2^-2-2^-x
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
220
27.5
110
15.8
Answer:
x = 27.5
Step-by-step explanation:
x/55 = 4/8 (ratio between the two polygons); cross multiply.
220 = 8x; divide 8 on both sides
x = 27.5
Find the area of the shaded region
Answer:
Area of the shades region = 244.6 ft²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle ABCD- Area of the right angle triangle DEC
Area of the rectangle = Length × width
= 29.8 × 13
= 387.4 ft²
By applying Pythagoras theorem in the right triangle DEC,
(Hypotenuse)² = (leg 1)² + (leg 2)²
CD² = DE² + EC²
(29.8)² = DE² + (28)²
888.04 = DE² + 784
DE² = 888.04 - 784
DE = 10.2 ft
Area of ΔDEC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(10.2)(28)[/tex]
= 142.8 ft²
Area of the shades region = 387.4 - 142.8
= 244.6 ft²
The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter
Answer:
The volume of the kiosk is 72 m³.
Step-by-step explanation:
The volume of the kiosk is given by the sum of the volume of a cylinder ([tex]V_{cy}[/tex]) and the volume of a cone ([tex]V_{c}[/tex]):
[tex] V = V_{cy} + V_{c} = \pi r^{2}h_{cy} + \frac{1}{3}\pi r^{2}h_{c} [/tex]
Where:
r: is the radius of the cylinder and the cone = d/2 = 5/2 = 2.5 m
d: is the diameter = 5 m
[tex]h_{cy}[/tex]: is the height of the cylinder = 3 m
[tex]h_{c}[/tex]: is the height of the cone = 2 m
Hence, the volume is:
[tex] V = \pi (2.5 m)^{2}(3 m + \frac{1}{3}*2 m) = 72 m^{3} [/tex]
Therefore, the volume of the kiosk is 72 m³.
I hope it helps you!
Connor needs to buy 430 orange balloons for a party. The orange balloons are sold in packs of 6. If he buys the smallest possible number of packs, how many balloons will be left over?
Answer:
2 balloons.
Step-by-step explanation:
6x = 430
x = 71.6
He has to buy 72 packs, there will be:
72 * 6 = 432 - 430 = 2 balloons left.
Find all the missing elements:
40°
120°
8
C = [?]º a = [ ] c = [ ]
Answer:
C=20° a=10.8 c= 4.3
Step-by-step explanation:
first we need to find the value of angle C by subtracting the sum of angle A and B from 180°.
to find c and a we need to use sin rule which states that sinB/b=sinA/a=sinC/c respectively