Answer:
4. 6 cups
6. 50 dollars
7. 27000 words
8. 300 dollars
Step-by-step explanation:
4.
2 cups x cups
-------------- = -----------
6 people 18 people
Using cross products
2 * 18 = 6x
Divide by 6
36/6 =6x/6
6 =x
6.
12 cans 30 cans
-------------- = -----------
20 dollars x dollars
Using cross products
12x = 20*30
12x = 600
Divide by 12
12x/12 =600/12
x = 50
7.
3 hours = 3*60 minutes/hour = 180 minutes
30 minutes 180 minutes
-------------- = -----------
4500 words x words
Using cross products
30x = 4500*180
Divide by 30
x = 4500*180/30
x=27000
8.
45 dollars x dollars
-------------- = -----------
15 burgers 100 burgers
Using cross products
45*100 = 15x
Divide by 15
45*100/15 = x
300 =x
which choices are equivalent to the expressions below ? Check all that apply
√5 × √5
Find f(4) if f(x) = 3x + 13
We are given the linear function below:
[tex] \large{f(x) = 3x + 13}[/tex]
To find f(4), simply substitute x = 4 in the equation.
[tex] \large{f(4) = 3(4) + 13} \\ \large{f(4) = 12 + 13} \\ \large \boxed{f(4) = 25}[/tex]
Answer
f(4) = 25solve the equation (1÷49)^x + 2 =(7)^x - 3
9514 1404 393
Answer:
x = -1/3
Step-by-step explanation:
Maybe you mean ...
(1/49)^(x +2) = 7^(x -3)
Taking logarithms base 7, we have ...
-2(x +2) = x -3
-2x -4 = x -3 . . . . . eliminate parentheses
-1 = 3x . . . . . . . . . . add 3+2x
x = -1/3 . . . . . . . . . divide by the coefficient of x
This is confirmed by a calculator in the first attachment.
_____
As written, the equation is ...
((1/49)^x) +2 = (7^x) -3
Multiplying both sides by 7^(2x) gives us ...
1 + 2·7^(2x) = 7^(3x) -3·7^(2x)
Subtracting the left side gives us the cubic equation in 7^x:
(7^x)^3 -5·(7^x)^2 -1 = 0
This has one irrational real root (found using a graphing calculator). The solution is ...
x ≈ 0.83111881051
This answer is confirmed in the second attachment. (10^-16 is essentially zero for this purpose.)
__
Additional comment
Part of the reason for going to the trouble to solve the "as written" equation is to show you that it is possible, though messy. What we'd like to emphasize here is that grouping symbols are needed when exponents contain math operations.
In typeset text, the superscript font indicates the grouping of parts of an exponent. In plain text, we cannot tell if 7^x-3 means (7^x)-3 or 7^(x-3). The Order of Operations tells us to interpret it the first way: (7^x) -3, because exponentiation is done before addition. That leads to trouble in this problem.
Anyone know the answer to this ??
Answer:
18 i think sorry if i am wrong
Step-by-step explanation:
Evaluate the expression. r = <5, 9, -4>, v = <3, 3, -8>, w = <9, -6, -1> v ⋅ w (5 points)
<-15, -27, -32>
0
17
<27, -18, 8>
Answer:
s
Step-by-step explanation:
what is the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)?
a. 1/3
b. 1/2
c. 2
d. 13
Answer:
x = 2
Step-by-step explanation:
Given
2.5(6x - 4) = 10 + 4(1.5 + 0.5x) ← distribute parenthesis on both sides
15x - 10 = 10 + 6 + 2x , that is
15x - 10 = 16 + 2x ( subtract 2x from both sides )
13x - 10 = 16 ( add 10 to both sides )
13x = 26 ( divide both sides by 13 )
x = 2
Answer:
2
Step-by-step explanation:
15x-10=10+6+2x
15x-2x=10+10+6
13x=26
divide 13 both sides
x=2
Write your answer in simplest form.
-2/3+7/9
Answer:
1/9
Step-by-step explanation:
You combine the fractions finding the least common denominator. Once you do that, you get your answer of 1/9.
I hope this information was of any use to you.
y-5 = -3 (x+2) in standard form
Answer:
maybe y - -3x = -11?
Step-by-step explanation:
im rushing so i may have did it wrong sorry
Plz help me tyvm :/
10 points
(no links)
(no wrong or guessed answers)
Answer:
2y
Step-by-step explanation:
2x-3=2y
2x-2y=3
Answer:
x = 3, y = 1.5
Step-by-step explanation:
Given the 2 equations
x + 2y = 6 → (1)
2x - 3 = 2y → (2)
In (2) subtract 2y from both sides and add 3 to both sides
2x - 2y = 3 → (3)
Adding (1) and (3) term by term will eliminate the y- term
3x = 9 ( divide both sides by 3 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
3 + 2y = 6 ( subtract 3 from both sides )
2y = 3 ( divide both sides by 2 )
y = 1.5
PLEASE HELP!! I’ve added an attachment. Please help me find the type of statement for this mathematical question. TYSM!!
Answer:
Step-by-step explanation:
Statements Reasons
1). AD ≅ BC 1). Given
2). ∠D ≅ ∠C 2). Given
3). ∠DEA ≅ ∠CEB 3). Vertically opposite angles
4). ΔADE ≅ Δ BCE 4). AAS postulate of congruence
5). AE ≅ BE 5). CPCTC
Hence, proved.
find the product (9x+9)(x+2)
Answer:
9x^2 + 27x + 18
Step-by-step explanation:
(9x + 9)(x + 2)
=9x(x + 2) +9(x + 2)
=9x^2 + 18x + 9x + 18
=9x^2 + 27x + 18
which linear inequality is represented by the graph
Answer:
Step-by-step explanation:
2) through:(-1,-1), slope = -4
PQ, QR, RS, and SP are tangent to ⨀ X. Find RS.
Answer:
Step-by-step explanation:
Which of the following statements is false? PLEASE HELP ASAP!
Answer:
C
Step-by-step explanation:
Need help seriously
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Vowels: A, E, I, O, U
There are only 2 vowels out of 8 on the spinner, which means that 6 out of 8 aren't vowels.
[tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
Hope this is helpful
Please solve the following simultaneous equations.
3 + y - 2x = 0
3x2 + 2y2 – 4xy = 9
Answer:
(3, 3) (1, -1)
Step-by-step explanation:
Answer:
(1, - 1) , (3, 3 )
Step-by-step explanation:
Given the 2 equations
3 + y - 2x = 0 → (1)
3x² + 2y² - 4xy = 9 → (2)
In (1) subtract 3 - 2x from both sides
y = 2x - 3 → (3)
Substitute y = 2x - 3 into (2)
3x² + 2(2x - 3)² - 4x(2x - 3) = 9 ← distribute and simplify left side
3x² + 2(4x² - 12x + 9) - 8x² + 12x = 9
3x² + 8x² - 24x + 18 - 8x² + 12x = 0
3x² - 12x + 18 = 9 ( subtract 9 from both sides )
3x² - 12x + 9 = 0 ( divide through by 3 )
x² - 4x + 3 = 0 ← in standard form
(x - 1)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 3 = 0 ⇒ x = 3
Substitute these values into (3) for corresponding values of y
x = 1 : y = 2(1) - 3 = 2 - 3 = - 1 ⇒ (1, - 1 )
x = 3 : y = 2(3) - 3 = 6 - 3 = 3 ⇒ (3, 3 )
A = (-123) + 77 + (-257) + 23 – 43
Answer:
[tex]A=-323[/tex]
Step-by-step explanation:
A = (-123)+77+(-257)+23-43
A = -46+(-257)+23-43
A = -303+23-43
A = -280-43
A = -323
Hope this helps
find the subsets of ( S,Q,L,R)
Answer:
{}, {s} {q} {l} {r} {s,q} {s, l} {s, r} {q, l} {q, r} {l, r} {s, q, l} {s,l,r} {s, q, r} {q, l, r} {s, q, l, r}
Order these equations by the value of x, starting with the smallest.
7x + 21 = 5x + 35
x + 5 = 3x - 1
5x + 5 = 6x - 5
TYYY
Answer:
x + 5 = 3x -1
7x + 21 = 5x + 35
5x + 5 = 6x - 5
Step-by-step explanation:
7x+21=5x+35
-5x -5x
2x+21=35
-21 -21
2x=14
÷2 ÷2
x=7
x+5=3x-1
-x -x
5=2x-1
+1 +1
6=2x
÷2 ÷2
x=3
5x+5=6x-5
-5x -5x
5=x-5
+5 +5
x=10
Hope this helps! :)
Billy looks through holiday brochure in Spain, Greece,Italy and UK.
1/3 in Spain, 1/6 in Greece,1/8in Italy the remainder in uk
Answer:
Assuming you want to know there was for UK it was [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
Let's add the fractions together
[tex]\frac{1}{3} +\frac{1}{6}+\frac{1}{8\\}\\\frac{8}{24} +\frac{4}{24} +\frac{3}{24} =\frac{15}{24}[/tex]
The remainder is the amount in UK so
[tex]\frac{24}{24} -\frac{15}{24} =\frac{9}{24} \\[/tex]
Simplified it's [tex]\frac{3}{8}[/tex]
Which is the Value if this expression when m = 3 and n = -5
Rachel draws a trend line through the following data
points. Did she draw the line correctly?
Answer:
i think its A but im not sure its correct
Step-by-step explanation:
In ΔNOP, the measure of ∠P=90°, NP = 35, ON = 37, and PO = 12. What ratio represents the sine of ∠N?
Answer:
12/37
Step-by-step explanation:
SOH - CAH - TOA
O = opposite
A = adjacent
H = hypotenuse
Sin = O/H
Sin N = 12/37
Answer:Find sin N
sinN=
hypotenuse/opposite
12/37
Step-by-step explanation:
Express x^2 + 4x - 7 in the form (x + a)^2 - b where a and b are intergers
Answer:
[tex]x^2+4x-7=(x+4)^2-23[/tex] where [tex]a=4[/tex] and [tex]b=-23[/tex]
Step-by-step explanation:
Given: [tex]x^2+4x-7[/tex]
Complete the square: [tex](x^2+4x+16)-23[/tex]
Reduce trinomial: [tex](x+4)^2-23[/tex]
Therefore, [tex]x^2+4x-7=(x+4)^2-23[/tex] where [tex]a=4[/tex] and [tex]b=-23[/tex].
Use addition to solve the linear system of equations. Include all of your work in your final answer.x-y=4 x+2y=4
Answer:
x = 4 , y = 0
Step-by-step explanation:
x - y = 4 --------- ( 1 )
x + 2y = 4 -------- ( 2 )
( 1 ) x - 1 => - x + y = - 4 -------------( 3 )
( 2 ) => x + 2y = 4 ----------- ( 2 )
( 2 ) + ( 3 ) => 0 x + 3y = 0
=> y = 0
Substitute y = 0 in ( 1 ) => x - y = 4
=> x - 0 = 4
x = 4
Consider the following simple regression model: y = 0 + 1 x 1 + u. In order to obtain consistent estimators of 0 and 1, when x and u are correlated, a new variable z is introduced into the model which satisfies the following two conditions: Cov( z, x) 0 and Cov ( z, u) = 0. The variable z is called a(n) _____ variable. 答案选项组 dummy instrumental lagged dependent random
Answer:
Instrumental variable
Step-by-step explanation:
cov(z,u) shows that the instrumental variable is exogenous. An instrumental variable can also be regarded as a third variable, It is included in the model if you have an issue of endogeneity in your regression model. An endogeneity problem arises if there are other variables are being influenced by other independent variable in the same regression model. we use z to account for these behaviours in the model. this variable controls for measurement errors as well as confounding errors.
Question 2 Multiple Choice Worth 1 points)
(01.04 LC)
Choose the missing step in the given solution to the inequality -X – 10 > 14 + 2x.
-X - 10 > 14 + 2x
-3x - 10 > 14
X<-8
Answer:
see below
Step-by-step explanation:
-X – 10 > 14 + 2x.
Subtract 2x from each side
-x-2x -10 > 14+2x-2x
-3x -10 > 14
Add 10 to each side
-3x -10+10 > 14+10
-3x > 24
Divide each side by -3, remembering to flip the inequality
-3x/-3 < 24/-3
x < -8
P, Q & R form a right-angled triangle.
R, S & P lie on a straight line.
PS = SQ and ∠SQR = 36°.
Work out
∠RPQ
Answer:
∠RPQ = 27
Step-by-step explanation:
In ΔSRQ,
∠R = 90
∠SQR = 36°
∠R + ∠SQR + ∠RSQ = 180 {Angle sum property of triangle}
90 + 36 + ∠RSQ = 180
126 + ∠RSQ = 180
∠RSQ = 180 - 126
∠RSQ = 54°
∠PSQ +∠RSQ = 180 {Linear pair}
∠PSQ + 54 = 180
∠PSQ = 180 - 54
∠PSQ = 126
In ΔPSQ,
SQ = PS ,
So, ∠SQP = ∠SPQ {Angles opposite to equal sides are equal}
∠SQP = ∠SPQ =x
∠PSQ + x +x = 180 {Angle sum property of triangle}
126 + 2x = 180
2x = 180 - 126
2x = 54
x = 54/2
x = 27
∠RPQ = 27°
the slope of the line below is -5/7 write a point slope equation of the line using the coordinates of the labeled point (6,2)