Answer: Their present age is 12 and 16.
Step-by-step explanation:
Let the required age be 3x and 4x
so
(3x+4)/(4x+4) = 4/5
5(3x+4) = 4(4x+4)
or, 15x + 20 = 16x + 16
or, 15x - 16x = 16-20
or, -x = -4
so, x = 4
now,
3x = 3*4 = 12
4x = 4*4 = 16
A basketball-player scores a free-throw with probability 0.9. What is the probability that her first miss occurs on the 6th shot
Answer:
[tex]Pr = 0.059049[/tex]
Step-by-step explanation:
Given
[tex]p = 0.9[/tex] --- probability of scoring
Required
Probability that his first miss is his 6th shot
Let q represent the event that he did not score.
Using complement rule:
[tex]q = 1 - p = 1 - 0.9 = 0.1[/tex]
The event that his first miss is his 6th is represented as:
p p p p p q ---- That he scoress the first 5 attempts
So, the probability is:
[tex]Pr = p^5 * q[/tex]
[tex]Pr = 0.9^5 * 0.1[/tex]
[tex]Pr = 0.059049[/tex]
Which option correctly shows one row of a stem-and-leaf plot that displays this data set? 24,35,10,32,19,26,24,30,17,19,20,35
Answer:
STEM ___ LEAF
1 _______0_ 7 _ 9 _ 9
2_______0 _ 4 _ 4 _ 6
3_______0 _ 2 _ 5 _ 5
Step-by-step explanation:
Given the ordered version of the data:
10, 17, 19, 19, 20, 24, 24, 26, 30, 32, 35, 35
. The stem is the tens digit and leaf is the unit digit of each data.
STEM ___ LEAF
1 _______0_ 7 _ 9 _ 9
2_______0 _ 4 _ 4 _ 6
3_______0 _ 2 _ 5 _ 5
Since there isn't any option given, then the row could be any of row values above.
given g(x) = square root of x - 4 and h(x) = 2x - 8 What is g(h10))?
Step-by-step explanation:
First find h(10)
h(10)=2(10)-8
h(10)=12
Now plug in 12 as the value of x in g(x) ie.g(12)
So g(12)=√12-4=√8=2√2
On Monday, a local hamburger shop sold a combined total of 456 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?
Answer:
114 hamburger
Step-by-step explanation:
456:4=114
the cheeseburger sold 3 times than the hamburger so 3+1=4
456:4 =114
In ΔOPQ, the measure of ∠Q=90°, OQ = 39, QP = 80, and PO = 89. What ratio represents the cosine of ∠P?
Answer:
The cosine of angle P = opposite / adjacent = 39 / 80
Step-by-step explanation:
f(x)=3^x+2 domain and range
Answer:
domain: (-∞ ,∞)
range: (2,∞ )
Step-by-step explanation:
What is the value of this exspession when c=-4 and d=-10 1/4(c^3+d^2)
Answer:
2
Step-by-step explanation:
1/4(-4×3 + 10×2)
1/4(-12 + 20)
THERE ARE 2 WAYS YOU COULD SOLVE THIS!
1. 1/4( -12) + 1/4( 20) = -3 + 5 = 2
2. 1/4 ( -12+20) = 1/4(8) = 2
Answer:
[tex]9[/tex]
Step-by-step explanation:
Given:-
Expression: [tex]\frac{1}{4} (c^3+d^2)[/tex]
Value of c = [tex]-4[/tex]
Value of d = [tex]-10[/tex]
Solution:-
Add the given values in the expression, writing them inside the bracket:
[tex]\frac{1}{4} ((-4)^3+(-10)^2)[/tex]
[tex](\frac{1}{4}) ((-4)^3)+(\frac{1}{4} )((-10)^2)[/tex]
[tex]-16+25[/tex]
[tex]9[/tex]
100 points and brainliest please:)
what is the square root of 256?
a 16
b 14
c 12
d 4
The square root of 256 = X^2
X ^2 = X x X
A) 16 x 16 = 256
The answer is a) 16
Answer:
A. ) 16
Step-by-step explanation:
[tex] \small \sf \: \sqrt{256} [/tex]
Write 256 in the exponential form with the base of 16
[tex] \small \sf \: \sqrt{16 {}^{2} } [/tex]
Reduce the index of the radical and exponent with 2
16
Hi guys can please help me
using a calculator or otherwise evaluate each of the following giving Your answer to two decimal place .
(i) 73.18-5.23×90
Answer: 26.11
Step-by-step explanation:
73.18 - 5.23 × 90 = 73.18 - 47.07 = 26.11
If a car is moving on a straight line with a velocity of 40 m/s and it changes its velocity to 60 m/s in 4 seconds, calculate its acceleration.
Answer:
5m/s²
Step-by-step explanation:
Given :-
Initial Velocity = 40m/s Final velocity = 60 m/sTime = 4sTo Find :-
The acceleration .Solution :-
We know that the rate of change of velocity is called acceleration. Therefore ,
[tex]\sf\implies a = v - u / t \\ [/tex]
[tex]\sf\implies a = 60m/s - 40m/s/ 4 \\ [/tex]
[tex]\sf\implies a = 20m/s \div 4 \\[/tex]
[tex]\bf\implies a = 5m/s^2[/tex]
the slopes of the perpendicular lines are ____.
Answer:
a) negative reciprocals
Step-by-step explanation:
the lateral surface area of right circular cylinder is 120 pi cm squared and the circumference is 12 cm find the height
Answer:
h=31.4 cm
Step-by-step explanation:
A=lateral surface area
c=circumference
h=height
A= c*h
solving for h we get:
h=A/c=120pi/12=10pi
Z Is An Even Integar Greater Than 30 And Less Than Or Equal To 34.
Answer:
34 is greater than or equal to z which is greater than or equal to 30
Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = P : P equals Start Fraction I Over r t End Fraction.. Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?
Answer:
P = $80
Step-by-step explanation:
I = P*r*t
P = I/rt
Where,
simple interest, I = $20
Interest rate, r = 5%
Time, t = 5 years
P = I / rt
= 20 / 5% * 5
= 20 / 0.05 * 5
= 20 / 0.25
= 80
P = $80
Luigi uses 39 cups of flour for every 6 pizzas he makes. How many cups of flour does he need to make 4 pizzas? If he uses 13 cups of flour how many pizzas can he make?
Answer:
4 pizzas - 26 cups
13 cups - 2 pizzas
Step-by-step explanation:
4 pizzas:
39 cups : 6 pizzas
6.5 cups : 1 pizza
6.5×4 cups : 4 pizzas
4 pizzas = 26 cups
6.5 cups : 1 pizza
13/6.5 cups : x pizzas
13 cups = 2 pizzas
Answer:
1) necesita 26 tazas de harina .
2) puede hacer solo 2 pizzas .
espero te sirva :)
Step-by-step explanation:
1) 39 dividido en 6 = 6,5 , 6,5 por 4 = 26.
2) 6,5 por 2 = 13.
In a triangle ABC, b=13cm c=17cm A=86 degree. Find B,C and a
Step-by-step explanation:
went to a calculator
it said
Side a = 20.66803
Side b = 13
Side c = 17
Angle ∠A = 86°
Angle ∠B = 38.863°
Angle ∠C = 55.137°
The lateral area of a cone is 86 cm squared. The radius is 18 cm. Find the slant height to the nearest tenth.
Group of answer choices
1) 5.7 cm
2) 4.8 cm
3) 1.5 cm
4) 2.6 cm
Answer: 4) 2.6 cm
Step-by-step explanation:
Because if the lateral area is 86 and the radius is 18, then the slant height is around 2.6
Maths Aryabhatta
Brainly moderators
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Genius users of brainly
Solve the following pair of linear equations using substitution method :-
2x+3y + 5 = 0 ; 5x-3y+9=0
Answer:
(- 2, - [tex]\frac{1}{3}[/tex] )
Step-by-step explanation:
Given the 2 equations
2x + 3y + 5 = 0 → (1)
5x - 3y + 9 = 0 → (2)
Rearrange (1) expressing 3y in terms of x by subtracting 2x + 5 from both sides
3y = - 2x - 5
Substitute 3y = - 2x - 5 into (2)
5x - (- 2x - 5) + 9 = 0 ← distribute parenthesis on left side and simplify
5x + 2x + 5 + 9 = 0
7x + 14 = 0 ( subtract 14 from both sides )
7x = - 14 ( divide both sides by 7 )
x = - 2
Substitute x = - 2 into either of the 2 equations and solve for y
Substituting into (1)
2(- 2) + 3y + 5 = 0
- 4 + 3y + 5 = 0
1 + 3y = 0 ( subtract 1 from both sides )
3y = - 1 ( divide both sides by 3 )
y = - [tex]\frac{1}{3}[/tex]
solution is (- 2, - [tex]\frac{1}{3}[/tex] )
ℎ = 6 + 11 − 22
calculation path
Answer:
[tex]h = 6 + 11 - 22 \\ h = 17 - 22 \\ h = - 5[/tex]
Answer:
-5
Step-by-step explanation:
6+11 = 17↓
17-22 = -5
or
11-22 = -11↓
-11+6 = -5
write down five numbers so that the mean is 6 the median is 5 and the mode is 4
Answer:
4,4,5,7,10
Step-by-step explanation:
this can be
4,4,5,7,10
5 is in the middle because 5 is median
4 appeared thrice cause it is the mode
and 10 is just there to give us our mean 6 because it is only 30/5 that gives 6 so we have to find 5 numbers whose sum gives 30
Answer:
The 5 numbers can be: 4, 4, 5, 8, 9.
Step-by-step explanation:
In 4, 4, 5, 8, 9. 5 is the median (The middle number).
The mode is 4 because 4 is the most repeated number.
(4+4+5+8+9)/5 is equal to 30/5 which equals 6. So, 6 is the mean.
Hope this helps! :)
6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface area, in cm², that needs to be painted? (Take pi to be 3.142.)
7. A tank in the shape of a cylinder of diameter 2.4 m and height 6.4 m contains oil to the brim. Find the number of complete cylindrical containers of base radius 8.2 cm and height 28 cm which can be filled by the oil in the tank.
Please help with the 2 questions. thank you!!
Unhelpful answer will be deleted ❌
Correct answer + with explanation will be chosen as the Brainliest Answer ✅
Answer:
6) About 19,244.75 square centimeters.
7) About 4895 containers.
Step-by-step explanation:
Question 6)
We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.
First, since the diameter is 35 mm, this is equivalent to 3.5 cm.
The radius is half the diameter, so the radius of each cylinder is 1.75 cm.
Recall that the surface area of a cylinder is given by the formula:
[tex]\displaystyle \text{SA}=2\pi r^2+ 2\pi rh[/tex]
Where r is the radius and h is the height.
Therefore, the surface area of a single cylinder will be:
[tex]\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2[/tex]
Then the total surface area for 200 cylinders will be:
[tex]\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2[/tex]
Question 7)
We know that the tank has a diameter of 2.4 m and a height of 6.4 m.
Since its diamter is 2.4 m, then its radius is 1.2 m.
Find the total volume of the tank. The volume for a cylinder is given by:
[tex]\displaystyle V=\pi r^2h[/tex]
Since r = 1.2 and h = 6.4:
[tex]\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3[/tex]
Each container has a base radius of 8.2 cm and a height of 28 cm.
So, the radius of each container is 0.082 m and the height is 0.28 m.
Then the volume of each container is:
[tex]\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3[/tex]
Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:
[tex]\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895[/tex]
Thus, approximately 4895 containers can be filled.
Answer:
6) About 19,244.75 square centimeters.
7) About 4895 containers.
Step-by-step explanation:
Question 6)
We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.
First, since the diameter is 35 mm, this is equivalent to 3.5 cm.
The radius is half the diameter, so the radius of each cylinder is 1.75 cm.
Recall that the surface area of a cylinder is given by the formula:
Where r is the radius and h is the height.
Therefore, the surface area of a single cylinder will be:
Then the total surface area for 200 cylinders will be:
Question 7)
We know that the tank has a diameter of 2.4 m and a height of 6.4 m.
Since its diamter is 2.4 m, then its radius is 1.2 m.
Find the total volume of the tank. The volume for a cylinder is given by:
Since r = 1.2 and h = 6.4:
Each container has a base radius of 8.2 cm and a height of 28 cm.
So, the radius of each container is 0.082 m and the height is 0.28 m.
Then the volume of each container is:
Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:
Answer this question plz
Answer:
i) 9xy
ii) 75
Step-by-step explanation:
i) add those factor
ii) get that factor
hope it helps
please mark as barinliest
Thankyou.. :)
How would the one-step equation x/5 = 5 be solved?
Multiply both sides by 1/5
Multiply both sides by the reciprocal of 1/5
Divide 5 by both sides
Divide one side by 5
Answer:
2nd option
Step-by-step explanation:
Given
[tex]\frac{x}{5}[/tex] = 5 ( multiply both sides by 5, the reciprocal of [tex]\frac{1}{5}[/tex] to clear the fraction )
x = 25
Which must be true of a quadratic function whose vertex is the same as its y-intercept?
Answer:
A
Step-by-step explanation:
because y-intercept is when x=0, so right on the y axis.
Need help ASAP I will mark brainliest
Answer:
see image
Step-by-step explanation:
A radar station located at ground level picks up a plane flying at a direct distance of 47,440 feet
away. If the angle of elevation from the station to the plane is 29°, what is the altitude of the plane?
Answer:
22,999 feets
Step-by-step explanation:
Given the solution diagram attached,
The altitude, h of the plane can be solved using trigonometry :
Using :
Sin θ = opposite / hypotenus
Opposite = h
Hypotenus = 47440
Sin 29 = h / 47440
h = 47440 * sin29
h = 22999.368
h = 22,999 feets
If the value of a is negative the line is what?
Answer:
Down to the right.
Like down hill
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
in the equation y = ax, a would be the slope
if the slope is negative, then the line goes from down to the right
I did an example on desmos to show you
Input value for the function machine that gives an output value of 3.
Answer:
x = –1
Step-by-step explanation:
From the question given above, the following data were obtained:
y = √(–2x + 7)
y = 3
x =?
The value of x can be obtained as follow:
y = √(–2x + 7)
3 = √(–2x + 7)
Take the square of both side
3² = –2x + 7
9 = –2x + 7
Collect like terms
9 – 7 = –2x
2 = –2x
Divide both side by –2
x = 2 / –2
x = –1
Divided 29 into two parts so that the sum of the squares of the parts is 425 . Find the value of each part.
Answer:
Step-by-step explanation:
Equations
x + y = 29
x^2 + y^2 = 425
Solution
y = 29 - x
x^2 + (29 - x)^2 = 425
x^2 + (841 - 58x + x^2 ) = 425
x^2 - 58x + x^2 + 841 - 425 = 0
2x^2 - 58x +416 = 0
a = 2
b = - 58
c = 416
You get two answers that look valid
2x^2 - 58x + 416 = 0
x^2 - 29x + 208 = 0 This factors
(x - 16)(x - 13) = 0
x = 16
y = 13
Now check it
16^2 + 13^2 = ? 425
256 + 169 = 425
álgebra 1
− 0.32 + 0.18 = 0.25 − 1.95
Answer:
i don't understand the question