Answer:
24 and 21
Step-by-step explanation:
the ratio of their ages is 8 : 7 = 8x : 7x ( x is a multiplier )
In 6 years
8x + 6 : 7x + 6 = 10 : 9
Express the ratio in fractional form
[tex]\frac{8x+6}{7x+6}[/tex] = [tex]\frac{10}{9}[/tex] ( cross- multiply )
9(8x + 6) = 10(7x + 6) ← distribute parenthesis on both sides
72x + 54 = 70x + 60 ( subtract 70x from both sides )
2x + 54 = 60 ( subtract 54 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Thus
Tony = 8x = 8 × 3 = 24
Vihaan = 7x = 7 × 3 = 21
Answer:
Tanay's age = 24yrs
Vihaan's age = 21yrs
Step-by-step explanation:
let the ages of tanay and vihaan be8x,7x
After 6yrs tanay's age=8x+6
vihaan's age=7x+6
a/q=8x+6/7x+6=10/9
=9(8x+6)=10(7x+6)
=72x+54x=70x+60
72x-70x=60-54
2x=6
x=3
tanay's age=8×3=24yrs
vihaan's age=7×3=21yrs
hope this helps you friend
easy 10 points and brainliest!
Answer:
x must be 0
Step-by-step explanation:
because if there is any point that is on the y axis that would mean that it would be dirrectly on the line and that would be the equivslent of x = 0
Answer:
x = 0
Step-by-step explanation:
If the point (x,y) is on the y-axis, that means the x coordinate is 0. The point can travel vertically anywhere on the axis, but not left or right of the axis.
Cheers.
Simplify each expression 7(9k + 6m)
Answer:
The correct answer is 63k + 42m.
Step-by-step explanation:
To solve this problem, we must remember how to use the distributive property. The distributive property tells us that if we have a coefficient outside of the parentheses (in this case, 7), we can multiply each term inside the parentheses by this coefficient and add the products together. This is modeled below:
7(9k + 6m)
(7*9k) + (7 * 6m)
63k + 42m
Therefore, the correct answer is 63k + 42m.
Hope this helps!
determine the prime factors of 84 in tree map
Step-by-step explanation:
I hope i got it right...
Inverse Function f(x)= 5 -1/3x
Answer:
f(x)⁻¹ = -3x + 15
Step-by-step explanation:
y = -1/3x + 5
x = -1/3y + 5
x - 5 = -1/3y
(x - 5)(-3) = y
-3x + 15 = y
Whats the answer? 8(2 ÷ 2) = 2(8 ÷ 2) A. 6=6 B. 4=4 C. 8=8
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 = 8}}}}}[/tex]
Option C is the correct option
Step-by-step explanation:
[tex] \sf{8(2 \div 2) = 2(8 \div 2)}[/tex]
Left hand side ( L.H.S )
⇒[tex] \sf{8(2 \div 2)}[/tex]
Divide 2 by 2
⇒[tex] \sf{8 \times 1}[/tex]
Multiply the numbers : 8 and 1
⇒[tex] \sf{8}[/tex]
Again, Right hand side ( R.H.S )
[tex] \sf{2(8 \div 2)}[/tex]
Divide 8 by 2
⇒[tex] \sf{2 \times 4}[/tex]
Multiply the numbers : 2 and 4
⇒[tex] \sf{8} [/tex]
∴ 8 = 8
Hope I helped!
Best regards!!
given the expotential function f(x) = 4(3)^x find f(0) and f(1)
Answer:
4 and 12
Step-by-step explanation:
Given
f(x) = 4[tex](3)^{x}[/tex] , then
f(0) = 4[tex](3)^{0}[/tex] = 4 × 1 = 4 [ [tex]a^{0}[/tex] = 1 ]
f(1) = 4[tex](3)^{1}[/tex] = 4 × 3 = 12
2. It takes 6 eggs to make 2 loaves of banana bread. How many eggs are needed to make 1 loaf of
bread?
Answer:
3
Step-by-step explanation:
Answer:3
Step-by-step explanation: because half of 6 eggs are need to make 2 loaves so split that in half and you have 3
The speed(S) of a car varies partly directly as its mass(M) and partly directly as the quantity (Q) of fuel in it. When the speed is 80km/hr, the mass is 220kg and the quantity of fuel is 30litres, when the speed is 60km/hr, the mass is 300kg and the quantity of fuel is 40 litres. Find the volume of fuel if the speed is 100km/hr and the mass 250kg
Answer:
S varies partly directly as M and Q.
S=C.
S=KMQ+C.
For the first one...
speed=80,m=220,Q=30.
80=K20×30+C.
80=600K+C......(I).equation one.
For the second one....
speed=60,m=300,Q=40.
60=K300×40+C.
60=12000K+C.....(ii). equation two.
Minus eqtn(I) from eqtn(ii).
80=600K+C.
- 60=12000K+C.
K=0.01754~0.018.
Substitute K=0.018 into eqtn(I).
80=600K+C
80=600×0.018+C.
80=10.8+C.
C=80-10.8=69.2.
The relation is S=0.018MQ+69.2
when speed is 100 and mass is 250 find the volume.
100=0.018×250×Q+69.2.
100=4.5Q+69.2.
4.5Q=100-69.2
4.5Q=30.8.
Q=30.8/4.5.
Q=6.8~7litres.
someone help me please
Answer:
-x^2 + 2x + 1
Step-by-step explanation:
Standard form of a polynomial is Ax^2 + Bx + C. (Highest degree to lowest degree)
-x^2 + 2x + 1.
helppppp
Simplify (93 - √25+? 42
÷ 8)2
** show all of your steps using order of operation
Answer:
186.5 + 2x
Step-by-step explanation:
First, radify 25. Luckily it's a perfect square so it will be 5.
Second, divide within the parentheses. You're expression should look like this.
(93-5+x+42/8)2
Divide 42/8. The decimal form would be 5.25, while the fraction should be 5 1/4.
Third, solve within the parentheses from left to right. Right now you're expression should look like this:
(93-5+x+5.25)2
Add all like terms
93-5+5.25=93.25
Fourth, multiply. Right now the expression should look like this:
(93.25 + x) 2
186.5 + 2x
∠A and ∠B are complementary angles. If the measure of ∠A is 42°, find the measure of ∠B.
Answer:
∠B = 48°Step-by-step explanation:
Since ∠A and ∠B are complementary angles their angles sum up to 90°.
In order to find ∠B add both ∠A and ∠B and equate them to 90° and solve for ∠B
That's
∠A + ∠B = 90
42 + ∠B = 90
∠B = 90 - 42
We have the final answer as
∠B = 48°Hope this helps you
Answer:
∠B = 48°
Step-by-step explanation:
A Complementary angles are total of 90°
If the measure of ∠A is 42°, find the measure of ∠B:
∠A + ∠B = 90°
42° + ∠B = 90°
∠B = 90° - 42°
∠B = 48°
PLZ ANSWER ASAP Select all the true statements. Line segment from -6 to 6. Point A is at -2, point b is at 1 and point c is at 6 The length of AB is -3. AB + BC = AC AB + AC = BC d(B, C) = BC = |6 - 1| The length of BC is 6.
Answer:65
Step-by-step explanation:
hgjvmd
ALGEBRA 1: HELP ME PLEASE 20POINTS
When a value for x is put into the machine, a value for y comes out. That output then becomes the input for another machine. An example is shown at the bottom.
What is the output from the second function machine? Explain.
Here you go queen/king hope this helps!
calculate the mid points of the line segments below using the midpoint formula given two endpoints (9,7) (-8, 10)
Answer: (0.5, 8.5)
Step-by-step explanation: (9+-8/2) is 1/2 and (7 + 10/ 2) is 8.5. After plugging it into the equation, I checked with a graphing site.
A square piece of cheese covers 8 square inches of a plate. What is the approximate length of one side of the piece of cheese? (Approximate to the nearest hundredth inch.) (4 points)
Greetings from Brasil...
According to the statement, we can conclude that 1 square (of cheese) has 8in²
The area of a square is given by the expression:
A = S²
where S is the side of the square - just what we want to know
So:
A = S²
8 = S²
√8 = S
S ≈ 2.83inWhat is (0.83)4 rounded to the nearest hundredth?
Answer:
3
Step-by-step explanation:
Li uses 8.4 grams of sugar every day in her tea. Sue uses 12.6 grams of sugar every day in her coffee. If Li’s sugar canister contains 128 grams of sugar and Sue’s canister contains 191 grams, in how many days will Li and Sue have the same amount of sugar in their canisters?
Answer:
They will have the same amount of sugar in their canisters in 15 days
Step-by-step explanation:
Here in this question, we are concerned with knowing the number of days in which the amount of sugar in both canisters will be the same.
Since we do not know the number of days it will take, we have to represent it using a variable.
Let the number of days be x days
Now, we are told Li uses 8.4 g per day.
So in x days, the amount user will be 8.4 * x = 8.4x g
Thus, the amount of sugar remaining in her canister after x days will be 128 - 8.4x
For Sue, she uses 12.6 grams each day. So in x days, the amount of sugar used will be 12.6 * x = 12.6x g
So the amount of sugar left in her canister will be 191-12.6x
Since on the xth day , the amount of sugar remaining is same, we can equate the amount of sugar remaining in both canisters. That would be;
128-8.4x =191-12.6x
Collect like terms;
12.6x-8.4x = 191-128
4.2x = 63
x = 63/4.2
x = 15 days
1. Simplify 2(1 - 10x) - 2(6x - 4)
Translate this sentence into an equation.
The sum of 14 and Vidya's score is 43.
Use the variable v to represent Vidya's score.
The sum of 14 and Vidya's score (v) can be translated into an equation as follows: 14 + v = 43
Let's represent Vidya's score using the variable "v."
In this equation, "v" represents Vidya's score, and the left-hand side of the equation represents the sum of 14 and Vidya's score. The right-hand side represents the value 43, which is the total sum according to the given statement.
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What is the area of the wreck site?
Answer:
where is the photo?
Step-by-step explanation:
Where is the photo, I need you to give me more details so i can officially answer your question, thank you :)
“c.” isnt part of the question fyi
this is for AP Calculus
Answer:
-2/3
Step-by-step explanation:
[tex]\ln{\dfrac{1}{\sqrt[3]{e^2}}}=\ln{e^{-\frac{2}{3}}}=-\dfrac{2}{3}[/tex]
Help please thank youu <3
Answer:
4. 10m+50=200
Step-by-step explanation:
10m meaning hes getting 10 each month that's why the m is there and on too he is getting another 50 which is why you would need to add 50 and obviously a total of 200 is at the end
Answer:
4) 10m+50 = 200
Step-by-step explanation:
As here "m" denotes "month" , Maxs save $10 a month so it is - 10m .
$50 for grandma and he need to save $200.
So we get the equation :
10m+50=200
Please helpppp meeee
Answer:
AB=62, BC=61, AC=57, PR=75, PQ=52.5, QR=52.5
Step-by-step explanation:
Please help! (Question in picture)
The answer is C. You just simplify all of the terms.
I think it is C but i'm not entirely sure sorry if its wrong gotta go
Make y the subject of the following: 7(y-3)=4(3-y) no spamming
Answer:
y = 3Step-by-step explanation:
7(y - 3) = 4(3-y)
7y - 21 = 12 - 4y
+4y +4y
11y - 21 = 12
+21 +21
11y = 33
÷11 ÷11
y = 3
Simplify the expression 7 - X-(-5x) - 10 + 4x.
Which type of conic section is described by the equation 4x^2 = 10 +y^2? Due in 2 HOURS, will give BRAINLIEST! A. Ellipse B. Circle C. Parabola D. Hyperbola
Answer:
c
Step-by-step explanation:
Hyperbola is the conic section described by the equation 4x² = 10 +y²
What is Parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
To identify the type of conic section from an equation whether it is circle, or ellipse a let suppose the equation as,
Ax²+By²+Cx+Dy+E=0
The given equation is 4x² = 10 +y²
4x²-y²=10
Divide the whole equation by 10
4x²/10 - y²/10=1
2x²/5- y²/10=1
x²/(1/2)- y²/10=1
The given equation is in the form of hyperbola.
Hence, hyperbola is the conic section described by the equation 4x² = 10 +y²
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which best describes how to solve the equation below 64x = 37
Answer: Division
Step-by-step explanation: divide both sides by 64
-9x+10y = -18
3x- y =6
Elimination
Step-by-step explanation:
Hey, there!!
To solve this type of equation it is very easy from elimination method,
Firsty, you try to search if there is opposite sign of same variables or not in both equation. Then find their LCM to make easy to cancel.And thirdly add or subtract the terms to get value of one variable. Then substitute the value of one variable to get value of another variable.Here, the given equation are,
-9x+10y = -18..........(i)
3x-y = 6....................(ii)
Let's take LCM to solve for x.
To solve for "x" we must cancel "y".
LCM= 10 { lcm of 1 and 10 is 1}
So, let's multiply equation (ii) by 10 and add them.
Then,
-9x + 10y = -18
30x - 10y = 60
21x = 42 { as +10y and -10y gets cancelled}
[tex]x = \frac{42}{21} [/tex]
Therefore, x= 2.
Substituting the value of x in equation (i)
-9x + 10y = -18
-9 × 2 +10y = -18
-18 + 10y = -18
or, 10y = -18 +18
Therefore, y= 0.
So, the value of x is 2 and y is 0.
Hope it helps...
What’s the sum of the number m and the number after it?
Answer:
wat number put the value there
The required sum of the number m and the number after it 2m + 1.
Given that,
To determine the sum of the number m and the number after it.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Let the number m and the number after m is m+1
Now the sum = m + m + 1
= 2m + 1
Thus, the required sum of the number m and the number after it 2m + 1.
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