Answer:
20 and 28
Step-by-step explanation:
Let x represent the current age of Hari and y represent the current age of Harry
Since the current ratio is 5:7:
5/7 = x/y
→ 5y = 7x (1)
Hari's age will be x+4 and Harry's age will be y+4 four years later. Since the ration of their ages will be 3:4 four years later:
3/4 = (x+4)/(y+4) (2)
→ 3(y+4) = 4(x+4)
→ 3y + 12 = 4x + 16
→ 3y = 4x + 4 (Substitute the y as 7x/5 from the equation 1)
→ 3(7x/5) = 4x + 4
→ 21x = 20x + 20
→ x = 20
y = 7x/5 = 7(20)/5 = 28
Work out (5*10^3) * (9 x 10^7)
Give your answer in standard form
Answer:
45×10^10
Step-by-step explanation:
try opening the brackets group and you get the answer
Please help with this question !
Answer:
to solve an equation you do PEMDAS in reverse.
Step-by-step explanation:
Add 1 to both sides.
multiply both sides by 4
square root both sides
now solve what's inside the parentheses by subtracting 5 from both sides.
Answer:
see below
Step-by-step explanation:
Add 1 to both sides
multiply both sides by 4
take the square root of both sides
subtract 5 from both sides
Any line perpendicular to the line y = 2x +4 has a slope of -2.
True
False
Thank you sm if you can help me :)
Answer: FALSE
You get y = 2x +4 so the slope is 2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/2.
11 + 11 = 4 22 + 22 = 16 33 + 33 = ?
Answer:
66
Step-by-step explanation:
Answer:
Answer will be 36
Step-by-step explanation:
11*11=4 -> (1+1)*(1+1)=4, 22*22=16 -> (2+2)*(2+2)=16. Hence, 33*33 -> (3+3)*(3+3)=36. Add the digits of 11 that will be 2. hope this helps you :)
When will 4a ≤ 16 be true?
Answer:
It will be true when a ≤ 4
Step-by-step explanation:
You can plug in the number to see if it is correct. 4(4) ≤ 16. Sorry, I'm not the best at explaining things.
What is the Y-INTERCEPT from the equation? y=5x + 12*
A) 5
B) 12
Answer:
B-12
Step-by-step explanation:
Answer:
B) 12
Step-by-step explanation:
Set x equal to zero and you get y= 12
If GF = 3.2 ft, which is a possible measure of T5?
1.6 ft
3.0 ft
3.2 ft
4.0 ft
Complete Question:
In the triangles, TR= GE and SR=FE. If GF= 3.2 ft, which is a possible measure of TS?
Answer:
3.2ft
Step-by-step Explanation:
From the given information of the question, we can draft out the diagram of the triangles being depicted here. See attached picture showing triangles RST and EFG.
Since we are told that TR= GE, and SR = FE, it means both triangles are isosceles triangle a having 2 equal sides, and triangles RST and EFG are similar.
Also, given that the measure of the 3rd side (GF) of triangle EFG is 3.2ft, therefore, TS = 3.2ft
Answer:
c
Step-by-step explanation:
Cam bounces a ball 2.528 feet in front of his feet. The path of the ball from the time it hits the ground until it lands on the floor is represented by
f(x)= -(x-7)^2+20
Assuming that Cam's feet located at the origin, (0,0), what is the maximum height of the ball in (feet)?
Answer:
20 feet
Step-by-step explanation:
Since the term -(x-7)^2 is negative, the largest height that the ball can reach is when this term is 0. 0+20=20, meaning that the highest the ball can go is 20 feet. Hope this helps!
Answer: 20 feet
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k
where (h, k) is the vertex
h is the axis of symmetry (time at which maximum height is reached)
k is the maximum height
Given: y = -(x - 7)² + 20
--> h = 7, k = 20
therefore, the maximum height of the ball is 20
How long is the shorter leg of the triangle?
Answer:
6 is the answer
Solve 7y-6=2y+8
Show that 7/8-5/6=1/24
Show that 5/8÷7/12=1 1/14
Simplify fully v4×v7÷vt
Answer:
Please check the explanation part for more details.
Step-by-step explanation:
1. Solve [tex]7y - 6= 2y + 8[/tex]
Send all components contain [tex]y[/tex] to the left, the other components to the right:
<=> [tex]7y - 6 = 2y + 8[/tex]
(sign of [tex]2y[/tex] is changed from negative to positive, sign of [tex]6[/tex] is changed from negative to positive)
<=> [tex]5y = 14[/tex]
Divide both sides of equation by [tex]5[/tex]:
<=> [tex]y = \frac{14}{5}[/tex]
2. Show that [tex]\frac{7}{8} - \frac{5}{6} =\frac{1}{24}[/tex]
First, we prove that [tex]24[/tex] is least common multiple(LCM) of the denominators of [tex]2[/tex] components on the left side ([tex]8[/tex] and [tex]6[/tex]).
[tex]8 = 2^{3}[/tex]
6 = [tex]2[/tex] x [tex]3[/tex]
=> LCM = [tex]2^{3}[/tex] x [tex]3[/tex] = [tex]8[/tex] x [tex]3[/tex] = [tex]24[/tex]
Multiply the first component [tex]\frac{7}{8}[/tex] by a factor which is equal to the quotient of LCM and denominator: [tex]\frac{24}{8} = 3[/tex]
=> [tex]\frac{7}{8} = \frac{7*3}{8*3} = \frac{21}{24}[/tex]
Multiply the second component [tex]\frac{5}{6}[/tex] by a factor which is equal to the quotient of LCM and denominator: [tex]\frac{24}{6} = 4[/tex]
=>[tex]\frac{5}{6} = \frac{5*4}{6*4} = \frac{20}{24}[/tex]
=>[tex]\frac{7}{8} -\frac{5}{6} = \frac{21}{24} - \frac{20}{24} = \frac{1}{24}[/tex]
3. Show that [tex]\frac{5}{8} / \frac{7}{12} = \frac{11}{14}[/tex]
[tex]\frac{5}{8} / \frac{7}{12} =[/tex] [tex]\frac{5}{8} * \frac{12}{7} =[/tex] [tex]\frac{60}{56} =\frac{60/4}{56/4} = \frac{15}{14} = 1\frac{1}{14}[/tex]
4. [tex]\frac{v4*v7}{vt} = \frac{v}{v} * \frac{v*4*7}{t} = \frac{v*28}{t}[/tex]
Hope this helps!
:)
I’m crying pls help :(
Choose the definition for the function
Answer:
b.
Step-by-step explanation:
everything under x= 2 is x+1 meaning x<2 and at 2 it starts x+2
Answer:
The correct option is b.
Step-by-step explanation:
x + 1 ...........................x ≤ 5
x+2 .............................x ≥ 2
A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how many tickets of each type were sold?
A. $18 tickets cost $10 AND 52 tickets cost $12
B. 52 tickets cost $10 and 18 tickets cost $12
C. 65 tickets cost $12 and 5 tickets cost $10
D. 5 tickets cost $12 and 65 tickets cost $10
WILL GIVE BRAINLIEST WHEN I CAN!!!!!!
Answer:
52 tickets cost $10 and 18 tickets cost $12
Step-by-step explanation:
10x+12y=804. (1)
x+y=70. (2)
From (2)
x=70-y
Substitute x=70-y into (1)
10x+12y=804
10(70-y)+12y=804
700-10y+12y=804
700+2y=804
2y=804-700
2y=104
y=104/2
y=52
Recall
x+y=70
x+52=70
x=70-52
x=18
52 tickets cost $10 and 18 tickets cost $12
By solving a system of equations we will see that the correct option is A.
How to write and solve a system of equations?
First, let's define the variables:
x = number of $10 tickets sold.y = number of $12 tickets sold.First, we know that 70 tickets were sold, so:
x + y = 70
And we know that they reached $804, then we have:
x*$10 + y*$12 = $804
Then our system is:
x + y = 70
x*$10 + y*$12 = $804
To solve this, we first need to isolate one of the variables in one of the equations, I will isolate x on the first equation:
x = 70 - y
Now we can replace that in the other equation to get:
(70 - y)*$10 + y*$12 = $804
$700 - y*$10 + y*$12 = $804
$700 + y*$2 = $804
y*$2 = $804 - $700 = $104
y = $104/$2 = 52
So, 52 $12 tickets were sold, then the other 18 tickets were $12, so the correct option is A.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
ahh please help me with this question!!!!
Answer: B. 2∛3
Step-by-step explanation:
[tex]24^\frac{1}{3}[/tex] is equivalent to ∛24. This can actually be simplified. We can use prime factorization to simplify the cubed root.
24
/ \
2 12
/ \
2 6
/ \
2 3
From this prime factorization tree, we want to find a group of 3. The same number that appears 3 times.
We see that there are 3 2's. They are bolded above. Since there is a group of 3, we can pull the 2 out of the cubed root, as we are left with a 3 inside (underlined above).
Our final answer is 2∛3.
I’ll mark you brainliest!!!!! Which point is a solution to the inequality represented by this graph?
Answer:
A is a solution because it is in the shaded area.
Step-by-step explanation:
Suppose statement p is true but statement q is false. Which of these compound statements are true? Check all that apply. p ∧ q p ∨ q p → q q → p p ↔ q q ↔ p
Answer:
p ∨ q → True
(q → p) → True
Step-by-step explanation:
If the truth value of the statement p is 'True' and truth value of statement q is 'False',
p ∧ q → False [Conjunction of both the statements will be true only when both the statements are True]
p ∨ q → True [Disjunction of two statements will be false only when both the statements are false]
(p → q) → False
(q → p) → True [Implication of both the statements is false only when p is true and q is false otherwise true]
(p ↔ q) → False [Bi-conditional statements are true if and only when both the statements are true]
(q ↔ p) → False
Answer:
Your answer would be answer two and four.
Express the ratio 700g to 1.75kg in its lowest terms.
Give your answer in the form m:n where m and n are integers
Answer:
2 : 5
Step-by-step explanation:
700 g : 1.75 kg
Since ratio should be between same units, so we'll convert either g into kg or kg into g. For convenience, kg will be converted to g
700 g : 1.75 kg × 1000
700 g : 1750 g
÷ 50 ÷50
14 : 35
÷7 ÷7
2 : 5
Could someone help me
out with this question?
The perimeter of a right triangle is 24 meters, and the area is 24 square meters. The lengths of the sides are each multiplied by 4. What is the area of the new triangle? help
Answer:
384m
Step-by-step explanation:
24 x 4 = 96
96 x 4 = 384
Answer:
the real answer is 96
Step-by-step explanation:
If m∠P = (7x – 22) ° and ∠P is a right angle, find the value of x.
Answer:
16
Step-by-step explanation:
If P is a right angle the the value of 7x - 22 would be equal to 90°
7x - 22 = 90°
7x = 112°
x = 16
Find median of the data. 14, 18, 16, 122, 22, 19, 12
Answer:
18
Step-by-step explanation:
The order from least to greatest is 12,14,16,18,19,22,122.
The middle number is 18 because there is 3 numbers next to 18 on the right which is 19,22,122 and 3 numbers on the left which is 12,14,16. A median would be easier to find if there is an odd amount of numbers.
Between 11 P.M. and 8:45 A.M., the water level in a swimming pool decreased by 3/8 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
the water level drop per hour is [tex]\frac{1}{26}\,\,\frac{in}{h} \approx 0.03846\,\,\frac{in}{h}[/tex]
Step-by-step explanation:
Notice that in between 11 PM and 8:45 AM on the following day, there is a change in time equal to 9 hours and 45 minutes = 9.75 hours.
If the water level of the pool dropped by 3/8 of an inch, and the rate was constant, then the rate of level drop per hour is:
[tex]\frac{\frac{3}{8} in}{9.75\,h} =\frac{1}{26}\,\,\frac{in}{h} = 0.03846\,\,\frac{in}{h}[/tex]
I’ll mark you brainliest!!!! Use the function to find f(-4).
Answer:1/16
Step-by-step explanation:
So I plugged in -4 for x
f(x)=2^-4= 1/16
hope that helps
A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. A fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap..Which equation relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.
Answer: 2b = 3g
Step-by-step explanation:
This is quite basic to solve, below is a Step by step explanation:
from the given question we have that;
A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute.i.e b = 1500 gallons per minute
A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute.g = 1000 gallons per minute.
Our questions tells us to write the equation which relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.
ANS:
Since flow from blue hydrant b = 1500 gallons per minute, we have that
b = 3 * 500
b = 3 * 1000/2 g
b = 3/2 g
equation gives 2b = 2g
cheers i hope this helped !!
An acite triangle has sixes measuring 10 cm and 16 cm .the length of the third side is unknown .which best describes the range of the possible values for the third side of the triangle ?
Answer:
6 < x < 26
Step-by-step explanation:
let x be the third side, then
difference of 2 sides < x < sum of 2 sides , that is
16 - 10 < x < 16 + 10
6 < x < 26
-1/3 multiplied by 1/4
Answer:
[tex] - \frac{1}{12} \\ [/tex]
Step-by-step explanation:
[tex] - \frac{1}{3} \times \frac{1}{4} \\ \\ = - \frac{1}{12} [/tex]
You are renting some tables for a party and have to choose between two different rental companies. The first charges $15 per table. The second charges $40 plus $11 per table. Based on this information , the second company is cheaper if you rent more than _____ tables.
Answer:
10
Step-by-step explanation:
15x = 40 + 11x
4x = 40
x = 10
10 tables they would cost the same, so more than 10 tables would make the second company cheaper
a Fair coin is tossed 3 times. What is the probability of getting at least one heads and at least one tails?
Answer:
b. 75%
Step-by-step explanation:
Here are all the outcomes of three coin tosses:
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
There are a total of 8 possible outcomes.
1 outcome is all heads.
1 outcome is all tails.
6 outcomes have at least one heads and 1 tails
p(at least 1 heads and at least 1 tails) = 6/8 = 3/4 = 75%
could someone please help with these three? I got a few minutes left and I'm clueless IM IN NEED OF HELP!!
Answer:
Student 1 has the correct answer
Student 2 started of OK but then divides the number of white marbles by the number of non-white marbles, which is incorrect.
Student 3 reports a probability larger than 1 which is impossible. Also the answer is not in percentages.
the nth term of a sequence is 3n2/2
Question:
The nth term of a sequence is [tex]\frac{3n^2}{2}[/tex] . Find the fifth term of the sequence
Answer:
The 5th term of the sequence is 37.5
Step-by-step explanation:
Given
[tex]nth\ term = \frac{3n^2}{2}[/tex]
Required
Find the 5th term
To find the 5th term, we simply substitute 5 for n in the above expression.
This gives
[tex]5th\ term = \frac{3 * 5^2}{2}[/tex]
[tex]5th\ term = \frac{3 * 5 * 5}{2}[/tex]
[tex]5th\ term = \frac{75}{2}[/tex]
[tex]5th\ term = 37.5[/tex]
Hence, the 5th term of the sequence is 37.5
What is the perimeter of the triangle?
Answer:
36 units
Step-by-step explanation:
The short leg is 9 units and the long one is 12 units.
Use pythagorean theorem to find the hypotenuse, a² + b² = c²
Plug in the numbers: 9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = c
15 = c
Find perimeter by adding all 3 sides: 9 + 12 + 15 = 36 units.
