Answer: Natasha is 17 and Ravi is 25
Step-by-step explanation:
Let n = Natasha’s age and r = Ravi’s age
We can write an equation then substitute: 42=n+r
We know that Ravi is 8 years older than Natasha, so Ravi’s age is equal to n+8. We can substitute that in, so 42= n+(n+8)
Simplify:
42=n+(n+8)
42= 2n+8
42-8=2n+8-8 (subtract 8 from both sides to isolate n)
34=2n
34/2=2n/2 (divide both sides by two)
17=n
Natasha is 17, and Ravi is 8 years older. 17+8= 25, Ravi is 25. You can double check by adding 25 and 17 together, which brings you back to 42 :]
describe how the graph of each function is related to the graph of f(x)=x^2
g(x)= -10 + x^2
Answer:
Translation down 5 units.
Step-by-step explanation:
The - 5 results in a shift of the whole graph down 5 units.
Each value of g(x) is 5 units less f(x).
Drag the numbers to label the points plotted on the number line.
Answer:
First Box: -10/5
Second Box = -1.25
Third Box = -0.5
Fourth Box = 0.75
Fifth Box = 3/2
Step-by-step explanation:
NOTE: I AM SAYING THIS FROM LEFT TO RIGHT
Answer:
The first box should be -[tex]\frac{10}{5}[/tex] ;
The 2nd box should be -1.25 ;
The 3d box should be -0.5 ;
The 4th box should be 0.75 ;
The 5th box should be 3/2 which is the last box left.
Jack had 3bags of golf balls with b balls in each bag; then his friend gave him 6 more golf balls. How many golf balls does Jack have now?
Answer:
3(b+2)balls
Step-by-step explanation:
Given data
number of bags of golf balls= 3
number of balls in each bag=b
total number of balls in all three bags= 3b
His friend gave him 6 more= 3b+6
Hence the total balls is = 3b+6
= 3(b+2)balls
The y-values that a function approaches when the x-values are extremely large or extremely small. This is called the function's
Answer:
end behavior
Step-by-step explanation:
I don’t understand help
You can see that the MNO triangle is similar to MKL then [tex]\displsystyle\ \frac{NO}{KL} =\frac{x}{ML} => \frac{12}{22} =\frac{x}{27,5} => x=\frac{12\cdot 27,5}{22} =15[/tex] [tex]\displaystyle\ Answer: \boxed{x=15}[/tex]
Patty measured the elementary school and made a scale drawing. The scale she used was 7 centimeters = 1 meter
What is the drawing's scale factor?
Simplify your answer and write it as a ratio, using a colon.
Write the scale of the drawing as a fraction. Put the shorter length in the numerator.
[tex] \frac{7 \: cm}{1 \: cm} \\ [/tex]
First convert the denominator to the same units as the numerator. Write an equivalent fraction with centimeters in the denominator. Since 1 meter is equal to 100 centimeters, multiply the denominator by 100 to get centimeters in the denominator.
[tex] \frac{7 \: cm}{100 \: cm} = \: \frac{7}{100} \\ [/tex]
Write the scale factor as a ratio, using a colon
7/100 → 7:100
The scale factor is 7:100.
[tex] \\ [/tex]
#CarryOnLearning!
Marathon Digital Movies is having a sale. Customers can download 13 movies for $15.99. How much does each movie cost with the sale?
Given:
Cost of 13 movies = $15.99
To find:
Cost of each movie
Steps:
Lets assume the cost of each movie as 'x'.
So,
[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]
[tex]1.23 = x[/tex]
[tex]x = $1.23[/tex]
Therefore, the cost of one movie is 1.23 dollars
HAPPY TO HELP :)
If you need more help, feel free to ask
A pyramid is 24ft tall. A scall model has a height of 2 ft and is 1 foot wide at the base. Identify the scale factor that was used to create the model
Answer:
1 : 12
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
24/2 = 12
1 : 12
Stacy invited six friends to her 5th birthday party. How many ways can Stacy's mom arrange the
children around the table for cupcakes and ice cream?
(Answer with no decimals)
Answer:
120 ways
Step-by-step explanation:
Here, we are looking at arranging around a table
To do this, we sit down one of the children and arrange the remaining around the one that we have sat down
In scenario like this, the number of possible arrangement ways will be;
(n-1)! ways
where n is the number of children which is 6 in this case
So the possible number of ways will be;
(6-1)! = 5! = 120 ways
Which pairs of angles in the figure below are vertical angles?
Check all that apply
Answer:
[see below]
Step-by-step explanation:
Vertical angles are simply opposite angles that are made from intersecting lines.
The most appropriate pairs would be vertical pairs:
∠NSI and ∠TSW
∠NST and ∠ISW
The angles are opposite of each other and formed from the two lines.
Hope this helps.
What is the inverse of the function f(x) = 2x + 1?
Answer:
[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]
Step-by-step explanation:
start by replacing f(x) for y:
y = 2x + 1
switch y and x:
x = 2y+1
solve for x by first subtracting 1 from both sides:
2y = x-1
divide 2 from both sides:
y = [tex]\frac{x - 1}{2}[/tex]
replace y with [tex]f(x)^{-1}[/tex]:
[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]
Find measure of angles B, E, D and C and the length of BC.
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
Answer:
<D = 30
< C = 65
<B = <E = 85
16 = BC
Step-by-step explanation:
ABC ~ Triangle DEF
<A = <D = 30
< C = <F = 65
Since they are similar triangles
A+ C + B = 180 since the angles of a triangle = 180
30+65+B =180
95+ B = 180
<B = 180 -95 = 85
<B = <E = 85
The triangles are similar so the sides are proportional
AB BC
---- = ---------
DE EF
20 BC
---- = ---------
35 28
Using cross products
20*28 = 35 BC
Divide each side by 35
20*28/35 = 35/35 BC
16 = BC
The diagram shows a triangle ABC in which AB= 6 cm, BC=8 cm and ABC = 90°.
Calculate the length of AC.
The answer should be 12. please help with explanation and calculation!!!
Answer:
AC = 10
Step-by-step explanation:
This is a right triangle
use the pythagorean theorem
a² + b² = c²
6² + 8² = c²
36 + 64 = c²
100 = c²
Take the square root of both sides
10 = c
AC = 10
The correct answer is 10 not 12
What does 2x+4y=12 solve for?
Answer:
Hi, there for x it will be x=−2y+6
But if your solving for y it will be [tex]y=-\frac{1}{2}x+3[/tex]
Hope this Helps :)
Step-by-step explanation:
Let's solve for x.
2x+4y=12
Step 1: Add -4y to both sides.
2x+4y+−4y=12+−4y
2x=−4y+12
Step 2: Divide both sides by 2.
[tex]\frac{2x}{2}=\frac{-4y+12}{2}[/tex]
x=−2y+6
2.
Let's solve for y.
2x+4y=12
Step 1: Add -2x to both sides.
2x+4y+−2x=12+−2x
4y=−2x+12
Step 2: Divide both sides by 4
[tex]\frac{4y}{4} =\frac{-2x+12}{4}[/tex]
[tex]y=-\frac{1}{2} x+3[/tex]
A distance of 8.5 kilometers is equivalent to 850 meters.
True
False
Answer:
true
Step-by-step explanation:
Complete the input-output table for the function y=3^x
X Y
-2 1/9
-1 1/3
0 1
1 3
2 9
3 a
4 b
A=?
B=?
9514 1404 393
Answer:
A = 27
B = 81
Step-by-step explanation:
Fill in the x-value and do the arithmetic.
a = 3^3 = 27
b = 3^4 = 81
Someone help me. PLEASE!
Answer:
x = 25.7
Step-by-step explanation:
We know the adjacent side to the angle and the hypotenuse on a right triangle
cos theta = adj / hyp
cos 18 = x/27
27 cos 18 =x
25.67852594=x
Rounding to the nearest tenth
x = 25.7
Evaluate the expression c5 when c = 3.
Replace c with 3:
3^5 = 3 x 3 x 3 x 3 x 3 = 243
The answer is 243
Answer:
15
Step-by-step explanation:
c5
3(5)
3 x 5
15
36) In the diagram, the coordinates of endpoints A and B are (-3, 9) and (9,5). Find the length from A to E?
Step-by-step explanation:
the length of AB = √(9+3)²+(5-9)²
= √144+16=√180 = 6√5
the length from A to E = ⅜× 6√5
= 2.25 √5 or 5.03
Length of AB,
→ √(9+3)² + (5-9)²
→ √144+16
→ √180
→ 6√5
Length from A to E,
→ ⅜ × 6√5
→ 2.25 √5
→ 5.03
50 points. Can anyone help me. If you can show me how you did it for the assgnment.
Answer: in picture
Step-by-step explanation:
Sorry if I got something wrong
I really need help with b and c
Answer:
Step-by-step explanation:
I dont know which b and c you are talking about, so...
3) b) 8, c) 19
4) b) 10, c) 16
Hope its helps u
Thank You
Please mark as brainliest
Please help me with this geometry question
Answer:
2) 40
Step-by-step explanation:
the perimeter of Rhombus =
4 × (√(12/2)²+(16/2)² )
= 4× (√6²+8²)
= 4× (√100)
= 4×10
= 40
Q) 4 × (√(12/2)²+(16/2)² )
→ 4 × (√6²+8²)
→ 4 × (√100)
→ 4 × 10
→ 40 is the perimeter of rhombus.
What is the total weight of all the fruit she bought?
Image included
Answer:
1/3 kilograms
Step-by-step explanation:
What is the remainder when 19x^2 +14x +12 is divided by x-2?
Answer:
116
Step-by-step explanation:
x-2 take -2 to the other side which will be +2 thus sub +2 into the quotient and calculate
I need help!!!! :))))
Answer:
A=50.24
Step-by-step explanation:
Your diameter is 8, which makes the radius 4.
The area of a circle is
[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]
A=50.24
4+(-7)-(-3) What will be the answer ?
Complete the following statements using the given histogram. The data in the histogram is . Anabelle was absent on the day of the test and had to make it up the following week. She scored a 60, and her score should be added to bin . The total number of students who scored less than a 70 on the day of the test is .
Answer:
Step-by-step explanation:
Skewed left
50-60 and 60-70
8
What is the slope of the line? 4x-1=3y+54x−1=3y+54, x, minus, 1, equals, 3, y, plus, 5 Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac23 3 2 start fraction, 2, divided by, 3, end fraction (Choice B) B \dfrac34 4 3 start fraction, 3, divided by, 4, end fraction (Choice C) C \dfrac32 2 3 start fraction, 3, divided by, 2, end fraction (Choice D) D \dfrac43 3 4
Answer:
Slope of the line, m = 4/3
Step-by-step explanation:
Given;
4x - 1 = 3y + 5
Make y the subject
4x - 1 = 3y + 5
4x - 3y = 5 + 1
4x - 3y = 6
-3y = 6 - 4x
Divide both sides by -3
y = (6 - 4x) / -3
y = -2 + 4/3x
Slope intercept form is given by
y = mx + b
Where,
m = slope
y = - 2 + 4/3x
m = 4/3
Slope of the line, m = 4/3
Answer:
Above answer is INCORRECT.
The CORRECT answer is 2/3
Step-by-step explanation:
Why does that formula make sense?
Answer:
Step-by-step explanation:
Draw two lines vertically down from side "A" to "B"...you now have three objects ... to triangles, and one rectangle.... the area of the rectangle is "AH"...now you have two triangles, that have area 1/2 base*height... the height is "H" and the base .... well it is (B-A)/2... so the area of the two triangles are ..... (2)*(1/2)*((B-A)/2)* H.... The total area is .... AH + (2)*(1/2)*((B-A)/2)* H .... 2* 1/2 = 1 so now we have AH + ((B-A)/2)* H .... to help see this let us write it as AH + H(B-A)/2 .. expand the right H.... AH + BH/2 - AH/2.......
you end up with : AH - AH/2 + AB/2 ...
AH - AH/2 = AH/2
BH/2 = BH/2
final answer : AH/2 + BH/2
factor out the 1/2 and H ..... 1/2 H (A+B)
Part B
If Diana spends 25 minutes running at the gym, how many minutes does she spend lifting weights?
Answer:
please write in the comments ,the total minutes she spent in the gym , then only we can solve the answer , without total minutes we cannot solve this question
Answer:
13 minutes lifting weights.
Step-by-step explanation:
Diana spent a total of 25 minutes and spent 12 more minutes running than she did lifting weights. So if you subtract 25 from 12 you get 13.