A father is twice as old as his son and the sum of their ages is 75. How old is the
father?
Answer: 50
Let's first of all assume the son's age as x.
So,
Father's age will be 2x i.e. twice as old as the son
Given that,
Sum of their ages = 75 years
So,
x + 2x = 75
3x = 75
x = 75/3
x = 25
Hence,
Son's age = x = 25 years
Father's age = 2x = 2 * 25 = 50 years
Evaluate the function
Answer:
-101
Step-by-step explanation:
Put 9 where x is, and do the arithmetic.
f(x) = -x² -20
f(9) = -9² -20 = -81 -20
f(9) = -101
Select all expressions that are equivalent to x^2+ 4x
2(5x - 7) = 8x + 15
one solution
b
no solution
c
infinite many solutions
[tex] \sf \: 2(5x - 7) = 8x + 15[/tex]
[tex] \: \: [/tex]
[tex] \sf 10x - 14 = 8x + 15[/tex]
[tex] \: \: [/tex]
[tex] \sf \: 10x - 8x = 15 + 7[/tex]
[tex] \: \: [/tex]
[tex] \sf \: 2x = 8[/tex]
[tex] \: \: [/tex]
[tex] \sf \: x = \cancel\frac{8}{2} [/tex]
[tex] \: \: \: [/tex]
[tex] \boxed{\sf \: x = 4}[/tex]
Hope Helps~write the equation of the line
Answer:
yellow box
Step-by-step explanation:
slope is rise over run
from any given point you go up 1 and over to the RIGHT 3 (1/3)
or you can go down one and to the LEFT 3 (-1/-3)
y intercept is -2 so you have y = 1/3x - 2
if an angle is 35 degrees what will the opposite side divided by the hypotenuse equal
The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.
Answer:
The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.
help pwease pls i cant put a pic but it says make a expressions thats equivalent to 5(6+y)=_+_
Answer:
30 + 5y
Step-by-step explanation:
Distribute the 5
5*6 = 30
5*y = 5y
and add
Answer:
[tex]5y+30[/tex]
Step-by-step explanation:
This equation on the left wants us to use the distributive property. That means we can distribute 5 to the 6, and the y in the equation. So, we will multiply.
[tex]5(6)=30\\5(y)=5y[/tex]
And, it wants us to add the two, so therefore it would be [tex]5y+30[/tex]
Can u please help with the ones I haven’t answered. 17,19-25
Answer:
17. 20v² + 11v - 319. 9x² - 3x - 3025. 12x³ - 15x² + 2x(i use app I'm sorry if I'm wrong)
what is the equation of the following line
ASAP ps
Answer:
y = 2/3x
Step-by-step explanation:
*
Can someone please help me with this ty!
Answers:
first box = 240second box = n+pExplanation:
For the first box, we add the two values 90 and 150 to get 240.
The same goes for the second box as well, except we cannot combine n and p together. We leave it as n+p. If we knew what numbers replaced n and p, then we could simplify further.
A company logo is made up of a square and four identical triangles, as shown in this image
What is the area of the logo
Enter your answer in the box
Answer:
Area is 72cm²
Step-by-step explanation:
Data :
There are four triangles and a square
x = 6 cm
h = 3 cm
Formula for square
Area = A = x² = 6² = 36
All triangles has equal area
So formula used to find area is
Area = A = 1/2 bh = 1/2 × 6 × 3 = 9
For four triangles
9 × 4 = 36
Add them
36 + 36 = 72
Answer:
91
Step-by-step explanation:
the real answer is 91 its not 72 I took the test k12
Loren is making a holiday pack for her customers. She has 5 different designs and 6 different greeting texts. Each holiday pack includes 3 different designs and 2 different texts. How many unique packs can she create?
Answer: 1
Step-by-step explanation: only 1 because since each include only 3 diff designs, and she currently owns 5 diff designs, and you can exactly go any further, because 3 + 3 = 6, and its only 5. If it werent for the designs, then she could make 3 texts, because 2 x 3 = 6. Sorry if I got it wrong, I'm just confused on how this is explained.
150 unique packs can be created.
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.
Given:
Loren has 5 different designs and 6 different greeting texts.
Each holiday pack includes 3 different designs and 2 different texts.
So, the unique ways to create
= [tex]^5C_3 . ^6C_2[/tex]
= 5! / 3! 2! x 6! / 2! 4!
= 10 x 15
= 150
Hence, 150 unique packs can be created.
Learn more about Combination here:
https://brainly.com/question/28720645
#SPJ2
The function f(t) = 880(0.1) represents the change in a quantity over t
hours. What does the constant 0.1 reveal about the rate of change of the
quantity?
Answer:
Step-by-step explanation:
the function is decaying exponentially at a rate of 90%
0.1-1=0.9 x100 =90 and it’s decaying because r (0.1) is less than one
Please help and please give explanation
Answer:
cylinder surface area = 201.06in²
surface area of cone = 56.56in.²
Step-by-step explanation:
cylinder surface area formula = 2πrh + 2πr²
refer the pic
cone surface area formula = πr ( r + √h² + r² )
refer the sec pic
surface area of the solid
= ( 201.06 + 56.56 ) in.²
= 257.62in.²
= 258in.²
This got deleted for some reason, but I need help. No links pls.
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.
g(x) = f(x) + 4
A.
The graph of function f is shifted up 4 units.
B.
The graph of function f is compressed vertically toward the x-axis by a factor of 4.
C.
The graph of function f is stretched vertically away from the x-axis by a factor of 4.
D.
The graph of function f is shifted down 4 units.
Answer:
A
Step-by-step explanation:
The constant 4 is positive so the graph is shifted up by 4 units. If it was instead -4, then the graph would have been shifted down 4 units
How many inches smaller is a 6.17 inch worm than a 10.63 inch worm?
How do I remove the 1 on the numerator when solving for x
1/x = 5
Answer:
x = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\frac{1}{x}[/tex] = 5 ( multiply both sides by x to clear the fraction )
1 = 5x ( divide both sides by 5 )
[tex]\frac{1}{5}[/tex] = x
why do we have to learn math
Math is not present only in exercises of school, but it is present in day-to-day life of society. For example, math can be used to:
• pay your bills;
• go to supermarket;
• go to restaurant;
• make a cake or a favorite dish ;
• play music;
• read time in a watch;
• take a medication;
• write a code for an app mobile.
A great advantage is that numbers are universal, thus the number are the same independent of your location.
Mathematics
It is the science that relates everyday practices and nature to human reasoning and numerical logic.
Learn more about mathematics here:
https://brainly.com/question/1146295
Can someone/ anyone help me please I am begging you and I have nine other problems I need help with
solve for x. pls help
Answer:
Step-by-step explanation:
5)50=x+59 => x=-9
6)x+77=70 => x=-7
7)x+123=115 => x=-8
8)11x-1=10x+10 +> x=11
9)120+5x+10=180 => 5x=50 =>x=10
10)125=x+134 => x=9
The picture below will help you to understand this question better.
#7 write in slope intercept form please!
Answer:
[tex]y=1/4+1\\[/tex]
Step-by-step explanation:
There are a few ways to do this.
1) Make a graph
You can graph [tex]y=1/4x[/tex] by placing a dot 1 y-value above every time you go four x-values to the left. Place (4,2) on the graph and plug in different values of b.
2) Make and solve an equation
Our equation will use the point given to us, and the slope
Since 2 = y and 4 = 2, we will plug those in for [tex]y=mx+b\\[/tex]
[tex]2=1/4(4)+b\\2=1+b\\1=b[/tex]
Therefore, the equation for this question is [tex]y=1/4x+1[/tex]
Use the table to write a linear function that relates y to x
Answer:
the answer is =
y = [tex]-\frac{1}{4} x[/tex]
A cube with sides 5 inches, and a pyramid with base edges 5 inches. What is the height, so that the volume of the cube and the pyramid are equal?
15 inches is the height of the pyramid
Step-by-step explanation:
The volume of a cube is a³
Given a = 5 inches
→ Volume = a³
= 5³
= 5×5×5
= 125 in²
The volume of a pyramid is [tex] \frac{1}{3} {a}^{2}h[/tex]
Given a = 5 inches , h = height of pyramid
[tex] = > \frac{1}{3} {a}^{2} h[/tex]
[tex] = > \frac{1}{3}(5)^{2}h[/tex]
[tex] = > \frac{1}{3} \times 25 \times h[/tex]
[tex] = > \frac{25}{3}h[/tex]
then,
[tex]125 = \frac{25h}{3}[/tex]
[tex] = > 25h = 125 \times 3[/tex]
[tex] = > 25h = 375[/tex]
[tex] = > h = \frac{375}{25} [/tex]
[tex] = > h = 15[/tex]
Hence, the height of pyramid is 15 inches
L=32 cm , w = 32 cm how do I solve this please help
You needed to do q and a questions about the same as in the morning
What is the area of triangle ABD?
7 cm 2
4.5 cm 2
3.5 cm 2
6 cm 2
Answer:
4.5 cm 2
Step-by-step explanation:
Formula of the area of a Triangle = [tex]\frac{H_{2} *B} {2}[/tex]
3*3=9
9/2=4.5
area= 4.5 cm 2
Find the 88th term of the arithmetic sequence 4, -1, -6, ...4,−1,−6,...
Answer:
88th term = -431
to solve, keep subtracting 5
Answer:
a₈₈ = - 431
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 4 and d = a₂ - a₁ = - 1 - 4 = - 5 , then
a₈₈ = 4 + (87 × - 5) = 4 + (- 435) = 4 - 435 = - 431
You open a savings account with a deposit of $1,963. The account as an annual interest rate of
12.7%. How much money will the account have in 2060?
$= 1963 · 1.127'; $184,513.91
B) $ = 1963 · 0.873'; $11.26
Help me please I only have 1 more try
Answer:
4 units to the right
Step-by-step explanation:
A(-1,4) is translated into A'(3,4)
so this point was shifted four to the right because only the x- value was changed
A survey of 60 people was done to see which ice cream flavor they preferred, vanilla, chocolate, or strawberry. The results are as follows:
5 liked all three flavors
9 people liked chocolate and strawberry, 11 people liked vanilla and strawberry, 13 people liked vanilla and chocolate
29 people liked chocolate, 28 people liked vanilla, 28 people liked strawberry
What is the probability that a person chosen at random perfers only vanilla?
Answer:
28/60
Step-by-step explanation:
There are 60 people in total and only 28 people said they prefer strictly vanilla and no other flavor.
28/60
Linear or nonlinear?