Answer: 1.5f + 2.25c = 40
Step-by-step explanation:
You'd need to multiply the variables of unknown value (how many she'd make in 40 hours) by the time it takes to make one. This would mean multiplying 1.5 by f and 2.25 by c. you'd add this as together they equal the 40 hours she'd be working for the week.
In ∆ABC if AB = 6 cm , BC = 8cm, AC = 10 cm then value of ∠B is ________
Answer:
90 degrees
Step-by-step explanation:
B is the corner and angle opposite of the side AC.
so, AC is becoming side c, and the other two are a and b (it does not matter which is which).
we use the enhanced Pythagoras formula for general triangles
c² = a² + b² - 2ab×cos(C)
in our example the angle C is named B.
but other than that we simply calculate
10² = 6² + 8² - 2×6×8×cos(B)
100 = 36 + 64 - 96×cos(B)
100 = 100 - 96×cos(B)
0 = -96×cos(B)
cos(B) = 0
=>
B = 90 degrees
HELP PLEASE I NEED COOR!!!!!
y−5=43(x−5)
Answer:
y=43x-210
Step-by-step explanation:
Distribute 43
then add five on each side
you get y=43x-210, 43 and 210 cannot be sipilified so that is the answer.
Answer:
y=43x-210
Step-by-step explanation:
Distribute 43 through the parenthesis.
y-5=43x-215
Move the constant to the right and change its sign.
y=43x-215+5
Calculate sum.
y=43x-210
Hope i helped :)
A concert hall has 25,350 seats. There are 78 rows of seats in the hall each row has the same number of seats how many seats are in each row?
Answer:
There are 325 seats in each row
Step-by-step explanation:
78 × 325 = 25,350
Find the equation of tangent to circle x^2+y^2 = 3 which makes angle of 60 ° with x-axis.
Step-by-step explanation:
hope it helps thnak you
brainliest pls ❤
ABC ~ DEF
What is the value for x, the length of side BC?
Answer:
17.5
Step-by-step explanation:
as the triangles are similar, when oriented in the same direction they have the same angles, and the lengths of all sides of DEF are the lengths of the sides of ABC but multiplied by the same scaling factor f for all sides.
so, we see that
A ~ D
B ~ E
C ~ F
and therefore
AB ~ DE
BC ~ EF
CA ~ FD
that means
DE = AB × f
EF = BC × f
FD = CA × f
we know DE and AB.
so,
4 = 10 × f
f = 4/10 = 2/5
and now we know
EF = 7 = BC × f
BC = 7/f = (7/1) / (2/5) = (5×7)/(2×1) = 35/2 = 17.5
Answer:
17.5
Step-by-step explanation:
Factorize (a+b)²-4ab
Answer:
(a - b)²
Step-by-step explanation:
(a + b)² - 4ab
= a² + 2ab + b² - 4ab
= a² - 2ab + b²
= (a - b)²
Q14SIMPLIFY THE EXPRESSION 6ab of2adivided by12x12ab+14a-a
Answer:
25
Step-by-step explanation:
6ab of 2a ÷ 12 × 12ab + 14a - a
= 6ab * 2a ÷ 12 × 12ab + 14a - a
= 12a²b ÷ 144ab + 13a
= 12*a*a*b / 144*a*b + 13*a
= a/12 + 13*a
= 1/12 + 13
= 1/25
Write an
equivalent expression by distributing the "_" sign outside the parentheses:
-(2h + 9.6k) + 1
Answer:
On distributing the - sign outside the parenthesis we get,
-2h - 9.6k + 1
Consider the equation 6x +7=3x � 5. Which of the following possible first steps would prevent having to deal with fractions when solving the equation?
Answer:
D. I or II only
Step-by-step explanation:
By a small online search, I've found that the equation is:
6x + 7 = 3x - 5
And the options are:
I. Combining the 6x and 3x terms
II. Combining the 7 and 5
III. Dividing both sides of the equation by 6
A. I only
B. II only
C. III only
D. I or II only
E. I or II or III
So, let's solve the equation in such a way that we can prevent the use of fractions:
6x + 7 = 3x - 5
We can use I and II, combining one in each side, so we get (so we use I and II at the same time)
6x - 3x = -5 - 7
solving these, we get:
(6 - 3)*x = -12
3*x = -12
and -12 is divisible by 3, so if we divide in both sides by 3, we get:
x = -12/3 = -4
x = -4
So we avoided working with fractions, and we used I and II.
Then the first step could be either I or II (the order does not matter)
Then the correct option is:
D. I or II only
-3x - 3y = 3, -5x + y =13
System of Equations
Answer:
([tex]\frac{-7}{3}[/tex], [tex]\frac{4}{3}[/tex])
Step-by-step explanation:
Hi there!
We are given the following system of equations:
-3x-3y=3
-5x+y=13
and we need to find the solution (the point at which the 2 lines intersect)
let's solve this by substitution, where we will set one variable equal to an expression containing the other variable, and then substitute that expression into the other equation to solve for the variable that the expression from earlier contains, and then use the value of the solved variable to find the value of the first variable
in the second equation, add 5x to both sides to isolate y by itself
y=5x+13
now substitute 5x+13 as y in -3x-3y=3
-3x-3(5x+13)=3
do the distributive property
-3x-15x-39=3
combine like terms
-18x-39=3
add 39 to both sides
-18x=42
divide both sides by -18
x=[tex]\frac{-7}{3}[/tex]
now we need to find y
remember: y=5x+13
substitute [tex]\frac{-7}{3}[/tex] as x in y=5x+13
y=5([tex]\frac{-7}{3}[/tex])+13
multiply
y=[tex]\frac{-35}{3}[/tex]+13
add
y=[tex]\frac{4}{3}[/tex]
So the answer is x=[tex]\frac{-7}{3}[/tex], y=[tex]\frac{4}{3}[/tex]. As a point, it's ([tex]\frac{-7}{3}[/tex], [tex]\frac{4}{3}[/tex])
Hope this helps! :)
What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ...
Answer:
Step-by-step explanation:
First of all the first term is a1 and that's equal to -3
Every term is multiplied by 7
So the recursive formula is
an = 7*a_(n-1)
a2 = 7*a_(1 -1)
a2 = 7*-3
a2 = - 21
Now try a_4
a_4 = 7*a_3
a_3 = -147
a_4 = 7*(-147)
a_4 = -1029
Find the TWO integers whos product is -12 and whose sum is 1
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3
Answer:
[tex] \displaystyle( {x}_{1} , y_{1}) =( - 3,4)\\ (x _{2}, y_{2}) = (4, - 3)[/tex]
Step-by-step explanation:
we are given two conditions
two integers whos product is -12two integers whos sum is 1let the two integers be x and y respectively according to the first condition
[tex] \displaystyle xy = - 12[/tex]
according to the second condition:
[tex] \displaystyle x + y = 1[/tex]
now notice that we have two variables therefore ended up with a simultaneous equation so to solve the simultaneous equation cancel x from both sides of the second equation which yields:
[tex] \displaystyle y = 1 - x[/tex]
now substitute the got value of y to the first equation which yields:
[tex] \displaystyle x(1 - x) = - 12[/tex]
distribute:
[tex] \displaystyle x- {x}^{2} = - 12[/tex]
add 12 in both sides:
[tex] \displaystyle x- {x}^{2} + 12 = 0[/tex]
rearrange it to standard form:
[tex] \displaystyle - {x}^{2} + x + 12 = 0[/tex]
divide both sides by -1:
[tex] \displaystyle {x}^{2} - x - 12 = 0[/tex]
factor:
[tex] \displaystyle ({x} + 3)(x - 4) = 0[/tex]
by Zero product property we acquire:
[tex] \displaystyle {x} + 3 = 0\\ x - 4= 0[/tex]
solve the equations for x therefore,
[tex] \displaystyle {x}_{1} = - 3\\ x _{2} = 4[/tex]
when x is -3 then y is
[tex] \displaystyle y _{1}= 1 - ( - 3)[/tex]
simplify
[tex] \displaystyle y _{1}= 4[/tex]
when x is 4 y is
[tex] \displaystyle y _{2}= 1 - ( 4)[/tex]
simplify:
[tex] \displaystyle y _{2}= - 3[/tex]
hence,
[tex] \displaystyle( {x}_{1} , y_{1}) =( - 3,4)\\ (x _{2}, y_{2}) = (4, - 3)[/tex]
__1. What is the other term for Q3?
2. What measure of position is divided into four equal parts?
3. How many equal parts is the quartile divided into?
4. How many percentile is equivalent to Q1?
5. What is the other term for Median?
_6. What is the equivalence of D2 to Percentile?
7. What measure of position is divided into 10 equal parts?
_8. What measure of position is divided into 100 equal parts?
9. What is the decile equivalence of P80?
10. What quartile is equivalent to P75?
Answer:
1. The third quartile
2. The quartile
3. Four
4. 25
5. The second quartile, Q₂
6. 20th percentile
7. Decile
8. Percentile
9. D₈
10. The third quartile, Q₃
Step-by-step explanation:
1. The other term(s) for Q₃ is third quartile (or upper quartile). It is the mid point between the distribution's largest number and the median
2. The measure of position divided into four equal parts is the quartile
3. The quartile is the division of the data at three points (Q₁, Q₂, and Q₃) into four equal parts equal parts
4. Q₁, which is the first quartile is equivalent to the 25th percentile
5. The other term for the median is the second quartile, Q₂
6. D₂ which is the second decile (a decile divides the data into 10 equal parts) is equivalent to 20th percentile
7. The decile, D, divides a given data into 10 equal parts
8. The percentile divides a given data into 100 equal parts
9. The decile equivalent to P80, which is the 80th percentile, is D₈
10. The quartile equivalent to P75, which is the 75th percentile or the three quarter mark point of the data is equivalent to the the third quartile, Q₃
Expansion (2x-3y+4z)^2
Answer:
Step-by-step explanation:
(a+b+c)²=a²+b²+c²+2ab+2bc+2ca
(2x-3y+4z)²=(2x)²+(-3y)²+(4z)²+2(2x)(-3y)+2(-3y)(4z)+2(4z)(2x)
=4x²+9y²+16z²-12xy-24yz+16zx
We know that,
→ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
Now Putting 2x = a, -3y = b and 4z = c , we get
→ (2x - 3y + 4z)²
→ (2x)² + (- 3y)² + (4z)² + 2 × 2x × (- 3y) + 2 × (- 3y) × 4z + 2 × 4z × 2x
→ 4x² + 9y² + 16z² - 12xy - 24yz + 16zx
Arranging according to the like terms, we get
→ 4x² - 12xy + 16zx + 9y² - 24yz + 16z²
▬▬▬▬▬▬▬▬▬▬▬▬Determine the measure of <0
20.21°
0.005
73.74°
16.26°
Answer:
16.26°
Step-by-step explanation:
1. tanΘ= 7/24
2.[tex]tan^-1(\frac{7}{24} ) =[/tex]Θ
3. Θ = 16.26°
Can someone help me with this math homework please!
Therefore, f(c) = 3c+5
OPTION B is the correct answer
Answer:
(B) f(c) = 3c + 5
Step-by-step explanation:
Since variable "c" is the independent variable, that means in terms of y = mx + b, c would be the variable "x".
So that means to rewrite 6c = 2p - 10, you would solve for p, because p would equal y in the formula.
Use basic algebra to solve for p:
6c = 2p - 10
6c + 10 = 2p
3c + 5 = p
p = 3c + 5 or f(c) = 3c + 5
Hope it helps (●'◡'●)
There are 15 chairs arranged in a row, in an auditorium. The distance between adjacent chairs is ¼ of a meter. Find the distance between the first and the last chair in the same row.
Answer:
ok so there is 1/4 of a meter between 15 chairs so
1/4*5= 1.25
so there is 1 and a quarter meter between the first and the last
Hope This Helps!!!
Determine the equations of the straight lines
passing through the following pairs of points.
1)(2,-2) and (3, 4)
2)(-3, -2) and (1,2)
3)(4,6) and (5,2)
4)(5,8) and (7, 1)
Answer:
1). 6x - 14 2). y = 1x + 1 3). y = -4x + 22 4).y = -7/2x + 51/2
Step-by-step explanation:
1). y2 - y1 / x2 - x1 4 - (-2) / 3-2 = 6
y = 6x + b 4 = 6(3) + b 4 = 18 + b -14 = b
y = 6x - 14
2). 2 - (-2) / 1 - (-3) = 1
y = 1x + b 2 = 1(1) + b 2 = 1 + b 1 = b
y = 1x + 1
3). 2 - 6 / 5 - 4 = -4
y = -4x + b 6 = -4(4) + b 6 = -16 + b 22 = b
y = -4x + 22
4). 1 - 8 / 7 - 5 = -7/2
y = -7/2x + 51/2
Try Again
Alvin is 7 years older than Elga. The sum of their ages is 79. What is Elga's age?
39 уга
years old
?
Answer:
36 years
Step-by-step explanation:
Let
x = Elga's age
Alvin's age = x + 7
Sum of their ages = 79
Sum of their ages = Alvin's age + Elga's age
79 = (x + 7) + x
79 = x + 7 + x
79 = 2x + 7
79 - 7 = 2x
72 = 2x
x = 72/2
x = 36
Elga's age = x = 36 years
Alvin's age = x + 7
= 36 + 7
= 43 years
The Venn diagram shows three types of numbers: odd (O), even (E), and prime (P).
Circles O and P overlap, and circle P also overlaps with circle E.
Which is represented by Ø?
Answer:
Null set
Step-by-step explanation:
Odd(0)
Even (E)
Prime (P)
Answer:
Its A since the other person didnt say it
Step-by-step explanation:
Y=2/7 -7 y=-x+2 What is the solution for this system of equations?
Answer:
(61/7, -47/7)
Step-by-step explanation:
Given: y=2/7 -7
y=-x+2
Rewrite the top equation ( y=2/7 -7
y = -47/7
y = -x + 2
Because both equations are equal to y, we can rewrite it again.
-47/7 = -x + 2
Add x to both sides
x + (-47/7) = 2
Add 47/7 to both sides.
x = 47/7 + 2/1
x = 61/7
As stated in the beginning, y is equal to -47/7
Hope you understand!
Determina el centro,radio y gráfica de la circunferencia:(x+2)2 + (y-3)2=121
Answer:
La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:
(x - a)^2 + (x - b)^2 = R^2
Entonces si miramos a nuestra ecuación:
(x + 2)^2 + (y - 3)^2 = 121
Tendremos el centro en:
(-2, 3)
el radio está dado por:
R^2 = 121
R = √121 = 11
La gráfica de esta circunferencia se puede ver en la imagen de abajo.
One number is 9 times another. Their product is 27 times their sum. Find the numbers.
the answer is not 3 btw
Answer:
270 & 30
Step-by-step explanation:
let the number is n,
the equation :
n× 1/9 n= 27(n +1/9 n)
1/9 n² = 27n + 3n
1/9 n² = 30n
1/9n²- 30n = 0
n(1/9n -30)= 0
n = 0 or
1/9n = 30 => n = 30×9 = 270
270 is a number,
the other : 270/9 = 30
Nas funções f(x) = -3x+9; f(x) = 2x-4 e f(x) = 5x-5, caso construamos seus respectivos gráficos, informe respectivamente os pares ordenados correspondentes aos zeros da função, ou seja, os pares ordenados que indicam onde os gráficos interceptam a abscissa (eixo "X") e a ordenada (eixo y ou f(x)) de cada uma das três funções.Leitura Avançada
{(3,0) e (0,9)}; {(2,0) e (0,-4)}; {(1,0) e (0,-5)}
{(3,0) e (0,9)}; {(2,0) e (0,4)}; {(1,0) e (0,5)}
{(3,0) e (0,9)}; {(2,0) e (0,-4)}; {(1,0) e (0,5)}
{(3,0) e (0,-9)}; {(2,0) e (0,-4)}; {(1,0) e (0,-5)}
1st option
{(3,0) e (0,9)}; {(2,0) e (0,-4)}; {(1,0) e (0,-5)}
see screenshot
sorry btw, no hablo espanol
simplify the following radical expression -7√2 + 10 √2
Answer:
3√2
Step-by-step explanation:
* means multiply
-7√2 + 10 √2
take √2 out of the expression
√2 (-7 + 10)
√2 (3)
3√2
100 students are interviewed to see which of biology, chemistry or physics they prefer. 42 of the students are girls. 5 of the girls like biology best. 4 of the boys prefer physics. 13 out of the 21 who prefer chemistry are girls. What percentage of the students prefer biology?
Answer:
A total of 51 people prefer biology, 51%
Step-by-step explanation:
Girls: 42
Boys: 58
Biology: 5 girls and 46 boys(100-42=58, 58-[4+8]=46)
Physics: 4 boys and 24 girls(42-[5+13])
Chemistry: 13 girls and 8 boys(21-13=8)
I think this is the answer...
the salesperson recieved $2,800 commission on her 35% share of the total commission on the sale of a property that was sold for $160,000. What was the commission rate?
Answer:
5%
.35x = 2800
x = 8000
p(160,000)=8000
p=.05 = 5%
Step-by-step explanation:
In a county containing a large number of rural homes, 60% of the homes are insured against fire. Four rural homeowners are chosen at random from this county, and x are found to be insured against fire. Find the probability distribution for x.
Answer:
[tex]\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.0256} & {0.1536} & {0.3456} & {0.3456} & {0.1296} \ \end{array}[/tex]
Step-by-step explanation:
Given
[tex]p = 60\%[/tex]
[tex]n = 4[/tex]
Required
The distribution of x
The above is an illustration of binomial theorem where:
[tex]P(x) = ^nC_x * p^x *(1 - p)^{n-x}[/tex]
This gives:
[tex]P(x) = ^4C_x * (60\%)^x *(1 - 60\%)^{n-x}[/tex]
Express percentage as decimal
[tex]P(x) = ^4C_x * (0.60)^x *(1 - 0.60)^{n-x}[/tex]
[tex]P(x) = ^4C_x * (0.60)^x *(0.40)^{4-x}[/tex]
When x = 0, we have:
[tex]P(x=0) = ^4C_0 * (0.60)^0 *(0.40)^{4-0}[/tex]
[tex]P(x=0) = 1 * 1 *(0.40)^4[/tex]
[tex]P(x=0) = 0.0256[/tex]
When x = 1
[tex]P(x=1) = ^4C_1 * (0.60)^1 *(0.40)^{4-1}[/tex]
[tex]P(x=1) = 4 * (0.60) *(0.40)^3[/tex]
[tex]P(x=1) = 0.1536[/tex]
When x = 2
[tex]P(x=2) = ^4C_2 * (0.60)^2 *(0.40)^{4-2}[/tex]
[tex]P(x=2) = 6 * (0.60)^2 *(0.40)^2[/tex]
[tex]P(x=2) = 0.3456[/tex]
When x = 3
[tex]P(x=3) = ^4C_3 * (0.60)^3 *(0.40)^{4-3}[/tex]
[tex]P(x=3) = 4 * (0.60)^3 *(0.40)[/tex]
[tex]P(x=3) = 0.3456[/tex]
When x = 4
[tex]P(x=4) = ^4C_4 * (0.60)^4 *(0.40)^{4-4}[/tex]
[tex]P(x=4) = 1 * (0.60)^4 *(0.40)^0[/tex]
[tex]P(x=4) = 0.1296[/tex]
So, the probability distribution is:
[tex]\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.0256} & {0.1536} & {0.3456} & {0.3456} & {0.1296} \ \end{array}[/tex]
PLEASE HELP I WILL GIVE BRAINLY
If y varies directly with x and
y = 56 when x = 8, find y if x = 4.
First, find the direct variation equation.
y = [ ? ]x
Answer:
y = 7x and y = 28
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 56 when x = 8 , then
56 = 8k ( divide both sides by 8 )
7 = k
y = 7x ← equation of variation
When x = 4
y = 7 × 4 = 28
I had block the instructions but basically it said State what additional information is required in order to know that the triangles in the image below are congruent for the reason given.
Answer:
Segment XY congruent to Segment IJ is required.
Step-by-step explanation:
It's asking for Side-Angle-Side postulate and you already have a side and an angle. WX=HI and <x=<I. Order matters, so the angle should be directly between the first set of segments and the second.
