5(4x + 3y) = $7.43 × 5
or, 20x + 15y = $37.15 ...(3)
Multiply equation (2) with 4, we get4(5x + 2y) = $7.03 × 4
or, 20x + 8y = $28.12 ...(4)
Subtract (4) from (3), we have20x + 15y-(20x + 8y) = $37.15 - $28.12
or, 7y = $9.03
or, y = $1.29
4x + 3y = $7.43or, 4x + 3($1.29) = $7.43
or, 4x + $3.87 = $7.43
or, 4x = $7.43 - $3.87
or, 4x = $3.56
or, x = $0.89
Answer:
A) $0.89
Hope you could get an idea from here.
Doubt clarification - use comment section.
Evaluate the expression when x=-6.
x^2-9x+4
Answer:
- 14
Step-by-step explanation:
x = - 6
x^2 - 9x + 4
= ( - 6 )^2 - 9 ( - 6 ) + 4
= 36 + 54 - 4
= 36 - 50
= - 14
Answer:
[tex]94[/tex]
Step-by-step explanation:
[tex]x^2 - 9x + 4[/tex]
[tex](−6 {)}^{2} −9 (−6) + 4[/tex]
[tex]36 − 9 (−6) + 4[/tex]
[tex]36 + 54 + 4[/tex]
[tex]90+4[/tex]
[tex]94[/tex]
Hope it is helpful....The graph of the function f(x) = (x + 2)(x - 4) is shown. Which describes all of the values for which the graph is negative and increasing?
all real values of x where x < -2
all real values of x where -2 < x < 4
all real values of x where 1 < x < 4
all real values of x where x < 0
Answer:
C. All real values of x where 1 < x < 4
Step-by-step explanation:
The function is negative below the zeros which would be from -2 to 4.
It would be increasing from the vertex which is 0 to 4.
Therefore, C makes the most sense out of all the choices.
Answer:
C was correct
Step-by-step explanation:
find the shaded area ..
Answer:
39°
Step-by-step explanation:
The angle adjacent to 115° in the lower triangle = 180° - 115° = 65°
angle on circle in lower triangle
= 180° - (65 + 76)° ← angle sum in triangle
= 180° - 141° = 39°
Angles on the circle subtended from the same arc are congruent, then
shaded angle = 39°
Lúc 6 giờ, một ô tô xuất phát từ A đến B với vận tốc trung bình 40km/h. Khi đến B,
người lái xe làm nhiệm vụ giao nhận hàng trong 30 phút rồi cho xe quay trở về A với vận
tốc trung bình 30km/h. Tính quãng đường AB, biết rằng ô tô về đến A lúc 10 giờ cùng
ngày.
Answer:
Đáp án:
60km
Step-by-step explanation:
30 phút
=
1
2
giờ
Ô tô đi từ A đến B rồi từ B về A mất số thời gian là:
10
−
6
−
1
2
=
3
,
5
giờ (không tính thời gian nhận hàng)
Gọi độ dài quãng đường AB là
x
(km)
Ta có:
Thời gian đi từ A đến B là
x
40
(quãng đường chia vận tốc)
Thời gian đi từ B đến A là
x
30
Ta có phương trình:
x
40
+
x
30
=
3
,
5
⇔
x
=
60
(km)
Vậy quãng đường AB là 60km.
Which point bisects the segment ZV?
Bisect means it is in the middle so that the length of each side would be the same.
The bisector is point W
find the measure of the indicated angle to the nearest degree
Answer:
28°
Step-by-step explanation:
sin ? = 19/41
? = arcsin (19/41)
? = 28° (rounded to the nearest degree)
Answered by GAUTHMATH
A pyramid has a square base of length 4.8 m and a total surface area of 85 m². Find the volume of the pyramid.
Answer:
164.33 m^3
Step-by-step explanation:
Mathematically, we have the formula for the volume as;
V = A * h/3
V = 5.8 * 85/3
V = 164.33 m^3
If the base linear function is F(x) =-3x and 5 is added to the equation, then what best describes what happened to the base equation? 
A.nothing happened stayed the same
B. The base equation shifts up five units
C. The base equation shifts to the left five units
D. The base equation shifts down five units
E. The base equation shifts to the right to five units
Answer:
E the base equation shifts to the right to five unit from the midpoint
A payday loan store charges $25 for a one-month loan of $600. What annual interest rate is this equivalent to?
Answer:
50%
Step-by-step explanation:
1. determine the monthly interest rate
monthly interest rate = interest / loan amount
monthly interest = 25 / 600 = 4.17%
2, multiply the monthly interest rate by 12 to determine the annual interest rate
Annual interest = 4.17 x 12 = 0.5 = 50%
Complete the table for the given rule.
Rule: y is 2 more than 4 times 2
pls help
Answer:
[2,10,18]
y = 4x + 2
0,2
1,6
2,10
3,14
4,18
Step-by-step explanation:
Answer:
x=0 y=2
x=2 y= 10
x=4 y= 18
Step-by-step explanation:
Is means equals
y = 4x+2
Let x = 0
y = 4(0)+2 = 2
Let x = 2
y = 4(2)+2 = 8+2 = 10
Let x =4
y = 4(4)+2 = 16+2 = 18
I need help to find the value of x. Round to the nearest tenth
Answer:
17.1
Step-by-step explanation:
tan(35)=12/x, x=17.1
Answer:
x ≈ 17.1
Step-by-step explanation:
The angle is 35 degrees, so we do tan(35)
Which equals the side divided by x.
tan(35) = 12 / x
So x ≈ 17.1
What is the main purpose of closing entries for revenues and expenses into Profit and Loss Summary? a. To determine the profit for period. b. To transfer the journalised entries to relevant ledger account. c. To check the accuracy of journal entries. d. To provide information of business ability to repay for the debt.
Answer:
A
Step-by-step explanation:
Revenues and expenses are closed every year so that the profit or loss can be determined for the yearly period.
Find the value of x in the triangle shown below.
Answer:
50
Step-by-step explanation:
how do you expand brackets
Answer:
multiply each term in the bracket by the expression outside the bracket
:)
Step-by-step explanation:
Factor completely, show work.
x² - 49
You want to pull out the square roots of each term since they are both perfect squares.
Factor using the difference of squares formula: a2-b2=(a+b)(a-b)
This formula allows the middle term to cancel out.
=x2 - 49
=(x + 7)(x - 7)
ANSWER: (x + 7)(x - 7)
Hope this helps! :)
which is the total length of both sides of the roof 4x
Answer:
b. 40m
Step-by-step explanation:
[tex]length \: of \: x \\ {x}^{2} = {8}^{2} + {6}^{2} \\ {x}^{2} = 64 + 36 \\ {x}^{2} = 100 \\ \sqrt{ {x}^{2} } = \sqrt{100} \\ x = 10m[/tex]
[tex]x = 10m \\ 4x = 4 \times 10 \\ 4x = 40m[/tex]
A stationary shop markdown their writing boards by 40%. The markdown is $32. What is the original selling price and selling price after markdown of the writing boards?
A.$50, $25
B.$60, $24
C.$80, $48
D.$70, $28
Answer:
The original price is 80
The new price is 48
Step-by-step explanation:
Let x be the original price
x - .4x = new price
.6x = new price
.4x = markdown
.4x= 32
.4x/.4 = 32/.4
x =80
The original price is 80
.6x = new price
.6(80) = 48
what is the total cost
Answer:
Step-by-step explanation:
We need to first find the perimeter of this oddly-shaped rink. We have a rectangle for which we are enclosing 3 of its sides, and the fourth "side" is a half-circle. Let's find the perimeter (or circumference) of the circle, divide it in half because we have half a circle, then add in the remaining 3 sides from the rectangle, shall we?
C = πd. The diameter of the circle is the same as the shorter length in the rectangle, 26. Therefore,
C = (3.14)(26) so
C = 81.64 m for a whole circle, and for half of that circle, the circumference is
C = 40.82 m
Now we can find the perimeter of the rink:
40.82 + 61 + 26 + 61 = p so
p = 188.82 m
If the fencing costs $6.20 per meter and we have 188.82 m, then the total cost is
[tex]cost=\frac{6.20dollars}{meter}*188.82meters[/tex]. The label "meter" cancels out, leaving us with
cost = $1170.82
Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point 95, 12).
If the coordinates of A and B are (-10, -3) and (7,14), respectively, the x-intercept of CĐ is (blank). The point
(Blank) lies on CD.
Answer:
Hello! the answer is CD is 17,0 (-2,19)
REfer and answer
Pls its urgent
Pls fast
Aj needs to buy a new car.
His dream car costs 68,700
He gets paid 625 per minute
He has got 53,350
How long does he have to wait to get his car
Answer:
24.56 minutes
Step-by-step explanation:
68,700 - (625 * x) = 53,350
We subtract 53,350 from both sides
15,350 - (625 * x) = 0
625x = 15350
x = 15350/625
x = 24.56
He needs to wait 24.56 minutes to get his car.
a trader is given 15% discount on goods bought from a factory. If the original price of an item in the factory is 45000. Calculate the amount the trader paid for them
Answer:
38,250
Step-by-step explanation:
Its a 15% discount so youre only paying 85% of the original 45,000. You then multiply 45,000 by .85 to find what youre paying because the decimal version of 85% is .85. You can find the decimal version of a percentage by dividing the percentage by 100; 85/100=.85. Once you multiply 45,000 by .85 you get 38,250.
find the least number in which when divided by 8 20 and 24 leave remainder 2 in each case.
Answer:
Solution: Factors of
8 = 2x2x2
12 = 2x2x3
18 = 2x3x3
24 = 2x2x2x3
LCM = 2x2x2x3x3 = 72
Add 5 to 72 to get 77 as the answer
What’s the rate of change please help
Answer:
Rate of change, is also another word for slope.
Slope --> y2 - y1 / (x2-x1)
Assuming the table is already in xy, the cords are in xy form too.
1) (8,8)
2) (11,10)
Plug points into slope eq
--> 10 - 8 = 2
----> 11 - 8 = 3
2/3 Is the slope/rate of change.
Helpppppp pls brainly does not have any answers to radicals
Answer:
2√3
Step-by-step explanation:
√27 = √9 * √3 = 3 * √3 = 3√3
3√3 - √3 = 2√3
1.
Which of the quadratic functions has the widest graph?
O y = 1/3x2
O y = -5/4x2
Answer:
y = -5/4x^2
Step-by-step explanation:
I'm assuming the 2 are the exponents. Make sure to use ^ to type exponents.
Green = 1/3x^2
Blue = -5/4x^2
Your brother tells you that he went to a baseball game and spent $19 on hot dogs and a soda. If hot dogs cost $4 and his one soda was $3, how many hot dogs did he eat? Write a two-step equation for this scenario then solve for the number of hot dogs.
Answer:
he ate 4 hot dogs
Step-by-step explanation:
$19-$3=$16
$16÷4=4
Doubling x and adding 3 is the same as tripling x and adding 1
Answer:
2x + 3 = 3x + 1
x = 2
hope that helps ✌
state the following true or false
Answer:
c. false (it should always be neg.)
d. false
Step-by-step explanation:
Answer:
(c) True, (d) False
Step-by-step explanation:
what is the answer to this
3x-y=7
2x-2y=2
Answer:
x = 3
y = 2
Step-by-step explanation:
3x - y = 7 ------------(i)
2x - 2y = 2 ---------(ii)
Multiply equation (i) by (-2)
(i)*(-2) - 6x + 2y = -14
(ii) 2x - 2y =2 {Add both equation. now y will be eliminated}
-4x = -12 {Divide both sides by -4}
x = -12/-4
x = 3
Plug in x = 3 in equation (i)
2*3 - 2y = 2
6 - 2y = 2
Subtract 6 from both sides
-2y = 2 - 6
-2y = -4
Divide both sides by 2
y = -4/-2
y = 2
Answer:
x = 3, y = 2
Step-by-step explanation:
Given the 2 equations
3x - y = 7 → (1)
2x - 2y = 2 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the y- term
- 6x + 2y = - 14 → (3)
Add (2) and (3) term by term to eliminate y
- 4x + 0 = - 12
- 4x = - 12 ( divide both sides by - 4 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
3(3) - y = 7
9 - y = 7 ( subtract 9 from both sides )
- y = - 2 ( multiply both sides by - 1 )
y = 2
solution is (3, 2 )
