Step-by-step explanation:
9x2 − 12x + 4 = 18 - 12x + 4 = 22 - 12x = 2(11 - 6x)
length of 1 side = ± sqrt 2(11-6x) (rej neg value)
Find the length of C using the Pythagorean theorem
Answer:
14^2+48^2=2500 sqrt2500= 50 c=50
Step-by-step explanation:
The length of c using the Pythagorean theorem is 50 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is ABC which is right angle triangle
AB=c
BC=14 and AC=48
We have to find the value of c
By Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
AB²=AC²+BC²
c²=48²+14²
c²=2304+196
c²=2500
Take square root on both sides
c=√2500
c=50
Hence, the length of c using the Pythagorean theorem is 50 units.
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solve 4/r = 5/20 will mark brainliest
Answer:
= 16
Step-by-step explanation:
Simplify \frac{5}{20}
20
5
to \frac{1}{4}
4
1
.
\frac{4}{r}=\frac{1}{4}
r
4
=
4
1
2 Multiply both sides by rr.
4=\frac{1}{4}r4=
4
1
r
3 Simplify \frac{1}{4}r
4
1
r to \frac{r}{4}
4
r
.
4=\frac{r}{4}4=
4
r
4 Multiply both sides by 44.
4\times 4=r4×4=r
5 Simplify 4\times 44×4 to 1616.
16=r16=r
6 Switch sides.
r=16r=16
What is the slope of the linear relationship shown in this table of values? x y -4 11 2 -1 5 -7
Answer:
2
Step-by-step explanation:
-1-11/-4-2 = -12/-6 = 2
The required slope for the linear relationship is -2.
Slope to be determine for table x = -4 2 5, y = 1 -1 -7 showing linear relationship.
Slope of function is defined as the rate at which function is increasing.
Here, slope
[tex]=\frac{y_2-y_1}{x_2-x_1} \\=\frac{-1-11}{2+4}\\= -2[/tex]
Thus, the required slope for the linear relationship is -2.
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The cost of 5 pounds of boudin is $26.What is the constant of proportionality that relates the cost in dollars,y, to the number of pounds of boudin,x?
Given :
The cost of 5 pounds of boudin is $26.
To Find :
The constant of proportionality that relates the cost in dollars y, to the number of pounds of boudin x .
Solution :
Price per boudin in terms of x and y is :
[tex]P=\dfrac{y}{x}[/tex]
Price per boudin by given data :
[tex]P=\dfrac{26}{5}[/tex]
So,
[tex]\dfrac{y}{x}=\dfrac{26}{5}\\\\y = \dfrac{26}{5}x[/tex]
Therefore, the constant of proportionality is [tex]\dfrac{26}{5}[/tex].
Hence, this is the required solution.
A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
o y=-3x+1
O y-zx=3
O y = -5x – 23
O y = 5x + 27
HURRY
I’m confused can someone help me please !
Step-by-step explanation:
= x + x -2+ 1 -2x
=2x-3- 2x
=3 ans
hope it help you.
Answer:
2+1=3-2x= -5+x+x =5x square
Para la reforestación de un terreno por parcela se compraron 150 arboles de cedro y 210 arboles de guayacán para sembrarlos de tal forma que en cada parcela quede la misma cantidad de arboles de cada tipo ¿Cuál es el mayor numero de parcelas? ¿Cuántos arboles de cedro y cuantos arboles de guayaca se sembrar en cada parcela?
Answer:
a) 30 parcelas
b) Para árboles de cedro: 5 por parcela
Para árboles de Guayacán: 7 por parcela
Step-by-step explanation:
a) ¿Cuál es el mayor número de parcelas?
De la pregunta tenemos:
150 árboles de cedro y 210 árboles de guayacán
Para encontrar la mayor cantidad de parcelas, resolvemos usando los métodos del mayor factor común.
Encontramos los factores de 150 y 210
Los factores de 150 son: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Los factores de 210 son: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Entonces el máximo común divisor es 30.
Por lo tanto, la mayor cantidad de parcelas que podemos tener es de 30 parcelas.
b) ¿Cuántos árboles de cedro y de guayacán plantar en cada parcela?
Para cedros
Tenemos 150 árboles de cedro
Por lo tanto, la cantidad de árboles de cedro por parcela = 150 ÷ 30 = 5 árboles de cedro por lote
Para los árboles de Guayacán
Tenemos 210 árboles de Guayacán
Por lo tanto, el número de árboles de Guayacán por parcela = 210 ÷ 30 = 7 árboles de Guayacán por lote
Write and solve an inequality to represent the situation below.
When Chelsea babysits, she charges $5 for each hour, x, she works plus $2 for bus fare. Chelsea want to earn at least $33 for her next babysitting job. How many hours must she work?
Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which
equation can she use to find g, the number of gallons of water she should add?
Answer: 1.98/11+g = 12/100
Answer:
D [tex]\frac{1.98}{11+g} =\frac{12}{100}[/tex]
Step-by-step explanation:
edge
what is 20*5 yay plz help me anwer this
Answer: 100. Can I get a Brainlest.
100 is the answer
Multiply.....
God Bless
6. Camille is a first year accountant and a recent college graduate. She is paid a salary
of $40,000 per year, is expected to work 40 hours a week and is nonexempt because
this is her first year as a staff accountant. During tax season, thirteen weeks from
January 15 through April 15, she works 56 hours a week.
a. Does she receive overtime? Explain.
b. How much is her normal rate per hour?
c. What is her overtime rate per hour?
d. How much extra does Anne earn during tax busy season? (Jan to April)
jk ima awnser in one sec
y+4= 2/3 (x+3) written in standard form
Decide whether Equation A or B would be used to solve the problem.
You had $1.65. After a friend returned the money you had loaned her, you
had $3.50. How much did she give you?
a. n + 1.65 = 3.50
b. n - 1.65 = 3.50
Answer:
The correct answer is B because you had less when the friend did not give you the money. Therefore before you had 3.50-1.65
Step-by-step explanation:
Destiny paid $9.60 for a dozen donuts. What is the unit cost for each donut?
Answer:
$0.8
Step-by-step explanation:
dozen=12
$3.60=12 donuts
$3.60/12= 0.8
$0.8
Use the inverse variation equation to fill in the table.
Answer: a= 0.1 b=20.775 c=0.02
Step-by-step explanation:
just got it right on edg
When x=1, find the value of y
1) -3
2) -1
3)1
4)-4
Answer:
y = -3
Step-by-step explanation:
The equation of the line is y = -x -2
We plug in the given x value into the equation to find y.
y = -(1) - 2
Simplify.
y = -3
Gray started the week with $150 in his checking account. The chart shows the credits and charges to his account during the week.
Credit Charge
$20 $52
$23 $16
$14 $28
How much money did Gray have in his account at the end of the week?
O $3
O $111
$189
$303
Answer:
111
Step-by-step explanation:
150 + 20 = 170
170 - 52 = 118
118 + 23 = 141
141 - 16 = 125
125 + 14 = 139
139 - 28 = 111
V5. Suppose you invest $5,000 at 9% interest, compounded annually, for 10 years. Determine the future value of your investment, using the compound interest formula.
Answer: $11836.8
Step-by-step explanation:
Given. That :
Amount invested = $5000
Interest rate = 9% = 0.09
Period = 10 years, compounded annually
Using the compound interest formula :
A = p(1 + r/n)^nt
A = final amount
P = principal or invested amount
r = rate of interest
n = number of times interest Is applied per period
t = period
A = 5000(1 + 0.09/1)^(1*10)
A = 5000(1.09)^10
A = 5000 * 2.36736367459211723401
A = 11836.81837296058617005
= $11836.8
Complete the equation of the line through (3,-1) and (4,7)
Answer:
y=8x-25
Step-by-step explanation:
I put my work in the picture I attached
Answer:
y=8x-25
Step-by-step explanation:
1) You find the slope by doing y2-y1/x2-x1 (so 7-(-1)/4-3) then you get the slope of 8
2) then you plug in some points using the slope (I'll use the point (3,-1)) : -1=8(3)+b
3) to find "b", you solve: -1=24+b --> b=-1-24 --> b=-25
4) then you put everything together and you get y=8x-25
BRAINIEST TO CORRECT ANSWER
(2x^2 +7x)+ (−x^2+10x+3)
Answer: x2+17x+3
Step-by-step explanation:
2x2+7x−x2+10x+3
=2x2+7x+−x2+10x+3
Combine Like Terms:
=2x2+7x+−x2+10x+3
=(2x2+−x2)+(7x+10x)+(3)
=x2+17x+3
He width of a rectangular postcard is 4 inches and the diagonal is 7.6 inches long. What is the length of the postcard? Round your answer to the nearest hundredth.
Answer:
Adjacent = x = length = 6.46 inches
Step-by-step explanation:
Given the width and diagonal of a rectangular postcard,
Find the length using Pythagoras theorem
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse = 7.6 inches
Opposite = 4 inches
Adjacent = x
Hypotenuse ² = opposite ² + adjacent ²
7.6² = 4² + x²
57.76 = 16 + x²
subtract 16 from both sides
57.76 - 16 = x²
41.76 = x²
Find the square root of both sides
x = √ 41.76
= 6.46
x = 6.46 inches
Adjacent = x = length = 6.46 inches
Shelly's Boutique had a Labor Day sale featuring 25% off any item. Tammy wanted to buy a blouse that originally sold for $21.99. To the nearest cent,
how much will it cost her before tax to buy the blouse during the sale?
Answer:
it will cost $19.12
Step-by-step explanation:
Answer: $19.12
Step-by-step explanation:
Michael averages 5 three-pointers in his first 4 basketball games. How many does he need to score at his 5th game in order to bring his average to 6 three-pointers per game?
Answer:
10
Step-by-step explanation:
The easiest way to understand this is not the shortest way.
Give Michael 4 fives and then add an x.
5 + 5 + 5 + 5 + x
Now divide by 5 and equate that to 6
(5 + 5 + 5 + 5 + x)/5 = 6
Combine the left side
(20 + x)/5 = 6
Multiply by 5
(20 + x) = 6*5
20 + x = 30
Subtract 20 from both sides
x = 30 - 20
x = 10
He needs 10 three - pointers to average 6
CAN ANYONE DO IT, IT IS EASY
Answer: 31
Step-by-step explanation:
180-20-35 = 125 (bottom triangle)
180 - 156 = 24
125 + 24 = 149
180-149 = your answer
Percentage rate of increase or decrease y = 3500(1.079)
Answer:
Increase
Step-by-step explanation:
If you multiply the numbers it increases!
What is the result of F (X) = - 3 × -3
Hello There this is your answer
and hope you a GREAT Thanksgiving :)
F ( X ) = 9
Calcula la relación entre los volúmenes de estos dos cilindros, si el radio de uno de ellos es el doble que del otro
Answer:
calfdmf mjd fmjs wsmc wsjmc jesd jms
Step-by-step explanation:
Solve: -6y+2(y-6)=12
answer: = -6 mark me brainly
Answer:
Step-by-step explanation:
distribute
=
−
6
The Jefferson band is selling baked goods to raise money for their trip. Their goa; is to profit at least $500. Each baked good sells for 2 dollars but costs $0.50 to make. How many baked goods will they have to sell to reach the goal?
Answer:
Break-even point in units= 334
Step-by-step explanation:
Giving the following information:
Desired profit= $500
Selling price= $2
Unitary variable cost= $0.5
To calculate the number of units to be sold, we need to use the following formula:
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= (0 + 500) / (2 - 0.5)
Break-even point in units= 334
Type the correct answer in the box. Round your answer to the nearest hundredth.
A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of the class are girls and scored an A on the test. If a student is chosen at random and is found to be a girl, the probability that the student scored an A is
if you add 55% and 45% the total is 100% so 45/100 are girls. 35% of the girls scored and A so 35/45 is the probability that it is a girl chosen or 7/9. the probability is 7 out of 9.