Answer:
1 solution.
Step-by-step explanation:
So we can split this into to equations:
-19x+91=-19x+91−19x+91
And
-19x+91−19x+91=−19x+91
Then simplify them to:
19x=91
And
19x=91
The equations are identical, so we only need to solve one.
X = 91/19
X = 4.789
I believe this is right.
Not drawn
accurately
18.2 cm
7 cm
16.8 cm
Is the triangle a right-angled triangle?
You must show your working.
Answer:
Yes, It is a Right Triangle.
Step-by-step explanation:
The hypotenuse is the longest side of the triangle, so for this problem we set the hypotenuse's value to 18.2
From there it doesn't matter which side is which, as both will undergo the same operations.
If the following equation is true, then it is a right triangle.
7²+16.8²= 18.2²
49 + 282.24 = 331.24
The equation is True.
It is a right-angled Triangle.
Determine the value of a so that x1-3x3=-3 2x1+ax2-x3=-2 (i)unique solution(ii)no solution(iii)many solutions
Answer:
(i)unique solution
Explanation:
We solve for x1 thus in the first equation:
x1-3x3=-3
x1-9=-3
x1=-3+9
x1= 6
We solve for a thus in the second equation:
2x1+ax2-x3=-2
2+a2-x3=-2
a2-x3=-4
a2=-4+x3
Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.
Answer: y = 6x
Step-by-step explanation:
Since this is a direct proportion, we will introduce the constant of proportionality here and this will be:
y = kx
Since y = 30 and x= 5,
30 = 5 × k
30 = 5k
k = 30/5
k = 6
Therefore, the equation that connects y to x will be:
y = kx
y = 6x
The equation that connects y to x is y = 6x.
What is another word for zeros?
Answer:
nothing
Step-by-step explanation:
Zero is a number without a value so nothing could be another word for it
please help and explain answer
why do bank charge transaction fees ?
Answer:
To make a profit of course
Step-by-step explanation:
it
then
yes
Possibly.
6. Is this a relation? Is this a function? Why or why not?
Answer:
the given relation is function because all elements of domain is mapped with the elements of range
Jen's class 10 girls and 15 boys. The ratio of girls to boys in Ed's class is the same as the ratio of girls to boys in Jen's class. There are 24 boys in Ed's class. How many girls are in Ed's class?
Answer:
16
Step-by-step explanation:
Jen's class: 10 girls, 15 boys
ratio of girls to boys = 10:15 = 2:3 = 2x:3x
Ed's class
number of boys = 24
ratio of girls to boys = 2x:3x
3x = 24
x = 8
2x = 2(8) = 16
Answer: 16
Answer:
16
Step-by-step explanation:
You have $9 and earn $0.75 for each cup of orange juice you sell. Write an equation that represents the total amount $A (in dollars) you have after selling $j cups of orange juice. $A
Answer:
I believe it's A = 0.75j + 9
Step-by-step explanation:
If x or j is the amount of cups of OJ you sell, and you earn $0.75 per cup.
0.75x
The b = 9 which adds to the total amount of money you have
0.75x+9
A is the total money you earn after you sell j cups.
I hope this helps!
What is the highest common factor of 65 and 56?
Brenya Estate produces a high quality tea branded Super by blending three types of tea coded A, B and C in the ration 1: 5:1. Originally Type A tea costs GHS 1,600 type B costs GHS 800 and type C costs GHS 1,700 per kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per kg. Determine the production cost for a packet of Super tea,
Solution :
Cost of 1 kg super tea mixture
[tex]$=\frac{1(1600)+5(800)+1(1700)}{1+5+1}$[/tex]
[tex]$=\frac{1600+4000+1700}{7}$[/tex]
[tex]$=\frac{7300}{7}$[/tex]
= 1042.8
≈ 1043
Include of cost blending and packaging.
So, cost of 1 kg is 1043 + 40 = 1083
Cost of packaging of 825 gram super tea = [tex]$\frac{825}{1000} \times 1083$[/tex]
= 893.47
4g+1 5 − G−7 4 = 2g−5 10
If Albert owns x model airplanes and Maxim owns x + 13 model airplanes, then Albert and Maxim own___ model airplanes together. Albert owns ___ less model airplanes than Maxim.
Answer:
2x + 13
13
Step-by-step explanation:
Albert and Maxim own
x + (x + 13) = 2x + 13 model airplanes together
Albert owns
(x + 13) - x = 13 less model airplanes than Maxim.
Answer:
They own 2x+13 model airplanes together
Albert owns 13 less model airplanes than Maxim
Find the volume of the composite figure
Answer:
540m^3
Step-by-step explanation:
find volume of top + volume of bottom
bottom: l*w*h = 16*5*4 =300 m^3
top = area of side times width = area of triangle times width
area of triangle is 1/2*b*h = (6*16)/2 = 48 m^2
multiply by width = 48*5=240m^3
add top and bottom = 300+240=540m^3
Find x in circle O. Figure is not drawn to scale. HURRY PLEASE
Answer:
B. 23,5
Step-by-step explanation:
Someone pls pls pls solve this!!!!!!! And pls explain how u solved it. I need this due rn ASAP!!!
35°..
can also be 145° but not in this case since the angle is less than 90°
plz any one here to follow me plz tellme any one ?
Please help I’ll give brainliest
Answer:
- a + 18bStep-by-step explanation:
2(a + 6b) - 3(a - 2b)
= 2a + 12b - 3a + 6b
= 2a - 3a + 12b + 6b
= - a + 18b (Ans)
Answer:
-a + 18b
Step-by-step explanation:
2(a + 6b) - 3(a - 2b)
Distribute the 2
2a + 12b - 3(a - 2b)
Distribute the 3
2a + 12b - 3a + 6b
Combine like terms
-a + 18b
help plzzzzzzzzzzzzzzzzzzzzz
A trained stunt diver is diving off a platform that is 15 m high into a pool of water that is 45 cm deep. The height, h, in meters, of the stunt diver above the water, is modeled by h=-4.9t^2+12t+5, where t is the time in seconds after starting the dive.
a) How long is the stunt diver above 15 m?
b) How long is the stunt diver in the air?
Answer:
a) 0 seconds.
b) The stunt diver is in the air for 2.81 seconds.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
Height of the diver after t seconds:
[tex]h(t) = -4.9t^2 + 12t + 5[/tex]
a) How long is the stunt diver above 15 m?
Quadratic equation with [tex]a < 0[/tex], so the parabola is concave down, and it will be above 15m between the two roots that we found for [tex]h(t) = 15[/tex]. So
[tex]h(t) = -4.9t^2 + 12t + 5[/tex]
[tex]15 = -4.9t^2 + 12t + 5[/tex]
[tex]-4.9t^2 + 12t - 10 = 0[/tex]
Quadratic equation with [tex]a = -4.9, b = 12, c = -10[/tex]. Then
[tex]\Delta = 12^{2} - 4(-4.9)(-10) = -52[/tex]
Negative [tex]\Delta[/tex], which means that the stunt diver is never above 15m, so 0 seconds.
b) How long is the stunt diver in the air?
We have to find how long it takes for the diver to hit the ground, that is, t for which [tex]h(t) = 0[/tex]. So
[tex]h(t) = -4.9t^2 + 12t + 5[/tex]
[tex]0 = -4.9t^2 + 12t + 5[/tex]
[tex]-4.9t^2 + 12t + 5 = 0[/tex]
Quadratic equation with [tex]a = -4.9, b = 12, c = 5[/tex]. Then
[tex]\Delta = 12^{2} - 4(-4.9)(5) = 242[/tex]
[tex]x_{1} = \frac{-12 + \sqrt{242}}{2*(-4.9)} = -0.36[/tex]
[tex]x_{2} = \frac{-12 - \sqrt{242}}{2*(4.9)} = 2.81[/tex]
Time is a positive measure, so we take 2.81.
The stunt diver is in the air for 2.81 seconds.
Which transformations could have occurred to map
AABC to AA"B"C?
O a rotation and a reflection
O a translation and a dilation
O a reflection and a dilation
O a dilation and a rotation
The transformations that could map ABC to A"B"C" are: (d) a dilation and a rotation
From the figure, we have the following highlights:
Triangle A"B"C is smaller than triangle ABCThe side lengths of both triangles are in equivalent ratioTriangle ABC is rotated about point C to form triangle A"B"CThe above highlights mean that:
The transformations that could map ABC to A"B"C" are dilation and rotation
Hence, option (d) is true
Read more about transformations at:
https://brainly.com/question/4289712
Classify the triangle by its angle and sides
Answer:
Right Triangle
Step-by-step explanation:
It has a 90 degree angle
Given three points A(-7, 1), B(m, 6) and P(-1, n). If the point P divides AB internally in the ratio of 3: 2, find the values of m and n.
Answer:
m = 3 , n = 4
Step-by-step explanation:
Using Section Formula.
[tex]If \ the \ line \ segment \ AB \ where \ A = (x _1, y_1) \ and \ B = (x_2, y_2) \ divided \ by \ P =(x , y) \ in \ the \ ratio \ a : b,\\\\Then \ the \ points \ of \ P \ \\\\x = \frac{ax_2 + bx_1}{a+b} \ and \ y = \frac{ay_2 + by_1}{a+b}[/tex]
[tex]Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x = -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3[/tex]
[tex]y =\frac{3\times 6 + 2 \times 1}{5}\\\\n = \frac{18 + 2}{5} = \frac{20}{5} = 4[/tex]
Share £35 in the ratio 4:1
Answer:
£28 : £7
Step-by-step explanation:
sum the parts of the ratio, 4 + 1 = 5 parts
Divide the quantity by 5 to find the value of one part of the ratio
£35 ÷ 5 = £7 , then
4 parts = 4 × £7 = £28
£35 = £28 : £7 in the ratio 4 : 1
A partial listing of monthly startup costs for a store includes $2,750 for rent, $479 for electricity, $217 for telephone and Internet service, $9,423 for employee salaries, $250 for cleaning service, and $100 for supplies. What percent of your monthly startup cost is rent?
Answer:
I think it is 20.8%
Step-by-step explanation:
The percentage of rent in the monthly startup cost is 20.8%
What is percentage?A part of a whole expressed in hundredths. In percentage we equate the total with hundred and find the sum.
The formula of percentage is (Y/X)×100 = P%, where "X" is total , "Y" is the individual number of which we want to find the percentage and "P" is the percentage value.
According to the formula,
X ⇒ $2,750 + $479 + $217 + $9,423 + $250 + $100 = $13,219
Y = $2,750
P = (Y/X)×100
2750/13219 =0.20803
0.20803×100=20.80%
Thus the percentage of the rent in the total monthly startup cost is 20.80%
To know more about percentage here
https://brainly.com/question/13450942
#SPJ2
What are the domain, range, and asymptote of h(x)=2x+4
Step-by-step explanation:
Domain = x € the real Numbers
Range = y € the real Numbers
No asymptotes
A ride-share company has a fee that includes a fixed cost and a cost that depends on both the time spent travelling, in minutes, and the distance travelled, in kilometres. The fixed cost of a ride is $2.55 Judy's ride costs $16.75 and took eight minutes. The distance travelled was 10 km. Pat's ride cost $30.35 and took 20 minutes. The distance travelled was 18 km. Roy's ride took 10 minutes. The distance travelled was 15 km. Find the cost of Roy's ride.
Answer:
the cost of Roy's ride is $23.05
Step-by-step explanation:
According to the Question,
Let, Cost of per minute charge is 'x' & Cost Of Per Kilometre charge is y .
Given, A ride-share company has a fee of the fixed cost of a ride is $2.55 .And, The Total cost of the Ride depends on both the time spent on travelling(in minutes), and the distance travelled(in kilometres) .⇒ Judy's ride costs $16.75 . but the actual cost after deducting the fixed charge is 16.75-2.55 = $14.20, took 8 minutes & The distance travelled was 10 km. Thus, the equation for the journey is 8x+10y=14.20 ⇒ Equ. 1
⇒ Pat's ride costs $30.35 . but the actual cost after deducting the fixed charge is 30.35-2.55 = $27.80, took 20 minutes & The distance travelled was 18 km. Thus, the equation for the journey is 20x+18y=27.80 ⇒ Equ. 2
Now, on Solving Equation 1 & 2, We get
x=0.4(Cost of per minute charge) & y=1.1(Cost Of Per Kilometre charge)
Now, Roy's ride took 10 minutes & The distance travelled was 15 km . Thus, the cost of Roy's Ride is 10x+15y ⇔ 10×0.4 + 15×1.1 ⇔ $20.5
Hence, the total cost of Roy's ride is 20.5 + 2.55(fixed cost) = $23.05
Water is being drained at a constant rate from a tank.
It contains 1000 gallons of water.
After 10 minutes there are 940 gallons of water remaining in the tank.
How much water remained in the tank after 5 minutes?
20 minutes?
30 minutes?
27 minutes?
X minutes?
What is the rate of flow of the water from the tank?
Organize your work to help you answer the questions,
Answer:
Step-by-step explanation:
1000 gallons - 940 = 60 then divide by the time which gets us 60/10=6
Now we can use this answer to help find out the amount remaining in the tank.
5 minutes = 5x6=30; 1000-30= 970 gallons
20 minutes= 20x6=120; 1000-120= 880 gallons
30 minutes=30x6=180; 1000-180= 820 gallons
27 minutes=27x6=162; 1000-162= 838 gallons
X minutes = 1000-6x
Rate of flow is 6 gallons per minute.
Hope this helps!
What is an equation of the line that is perpendicular to 3z +y=-5 and passes through the point (3, – 7)?
Enter your equation in the box
-5 3/4 - 3 1/2 = ? Solve please!
Answer:
-9.25
Step-by-step explanation:
-5.75 - 3.5
-9.25
[tex]\implies {\blue {\boxed {\boxed {\pink {\sf { \:- 9 \frac{1}{4} (or) \:- 9.25 }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] - 5 \frac{3}{4} - 3 \frac{1}{2} [/tex]
➺[tex] \: \frac{ - 23}{4} - \frac{7}{2} [/tex]
➺[tex] \: \frac{ - 23}{4} - \frac{7 \times 2}{2 \times 2} [/tex]
➺[tex] \: \frac{ - 23 - 14}{4} [/tex]
➺[tex] \frac{ - 37}{4} [/tex]
➺[tex] \: - 9 \frac{1}{4} [/tex]
➺[tex] \: -9.25[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
