Answer:
Son = 15 and father = 40
Step-by-step explanation:
Let, the age of son be x and father be y.
According to the question,
2x + y = 70
or. y = 70 - 2x ..................................(1)
Also,
2y + x = 95
or, 2(70 - 2x) + x = 95 (From 1)
or, 140 - 4x + x = 95
or, 45 = 3x
∴ x = 15
Now,
Substituting value of x in (1)
y = 70 - 30 = 40
∴ The present ages of son and father are 15yrs and 40yrs respectively.
a puzzle is shown below. what is the area of the shaded portions of the puzzle?
Answer:
it's a parallelogram
Step-by-step explanation:
May ot helpful
Tara picks out 4 paint colors (beige, blue, green, and gray) to paint 4 rooms in her house (living room, dining room, main bedroom, and kitchen).
What is the probability that tara first paints her bedroom green?
ASAP!!!!!
im going to guess it's [tex]\frac{1}{4}[/tex]
Which of the binomials below is a factor of this trinomial?
4x2 + 21x + 5
A. 4x + 5
B. 4x-1
C. 4x + 1
D. 4x - 5
Answer:
c
Step-by-step explanation:
Answer:
C. 4x+1
Step-by-step explanation:
Leroy took a trip to Alaska. His airfare was $243 and he spent $72 each day while
he was there. Which expression can he use to help him find the cost of the trip?
(x = number of days spent in Alaska) *
Answer:
72x+243
Step-by-step explanation:
That expression will get you the total amount of money spent
Can i get a hooiiiiyaaaaaa
Answer:
Nooooooooooooooooooooo
Answer:
hooiiiiyaaaaaFind the vertices of the hyperbola. Enter the smallest coordinate first.
Answer:
([-3], [0]), ([3], [0])
Step-by-step explanation:
The given equation of the hyperbola is presented as follows;
[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = 1[/tex]
The vertices of an hyperbola (of the form) [tex]\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1[/tex] are (± a, 0)
The given hyperbola can we presented in a similar form as follows;
[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = \dfrac{x^2}{3^2} - \dfrac{y^2}{7^2} = 1[/tex]
Therefore, by comparison, the vertices of the parabola are (± 3, 0), which gives;
The vertices of the parabola are ([-3], [0]), ([3], [0]).
Pick all the names for this shape. Sides that appear to be parallel are parallel
A. Parallelogram
B. Rectangle
C. Trapezoid
D. Quadrilateral
Answer:
I would say a parrallelogram
Step-by-step explanation:
Estimate 14.429 - 5.16 by first rounding each number to the nearest tenth.
Help pls
Answer:
9.23
14.43-5.2=9.23
Step-by-step explanation:
Mark me brainliest plZZZZZZZZZZZZZZZZZZZZZZZZZ
Why is 6/5 not equivalent to 3/2
Answer:
It is the first choiceStep-by-step explanation:
[tex] \frac{3 \times 2}{2 \times 2} = \frac{6}{4} \\ \\ \frac{6}{4} \: \: is \: not \: equal \: to \: \: \: \: \frac{6}{5} [/tex]
The ratio 3 / 2 is multiplied by 2 on both the denominator and numerator to get the value 6 / 4, but the denominator part is not equal to 5, hence 6/5 is not equivalent to 3/2, so option A is correct.
What is the ratio?It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3.
Given:
6 / 5 and 3 / 2
As you can see the numerator of 3 / 2 is multiplied by 2 to get the value 6, so the denomination should also be multiplied by the number 2,
(3 × 2 ) / (2 × 2)
6 / 4
But the result came as 4 on the numerator,
Thus, 6 / 5 and 3 / 2 are not equivalent.
To know more about Ratios:
https://brainly.com/question/13419413
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Jerry is 5 years less than half of Mary's age. The sum of their ages is 22. How old is each person?
Answer:
Mary= 18
Jerry = 4
Step-by-step explanation:
Half of mary's age is 9, minus 5 =4.
18+4=22
Answer:
Equation 1: m/2 - 5 = j
Equation 2: m + j = 22
Mary's age: 18
Jerry's age: 4
Step-by-step explanation:
m/2 - 5 = j
18/2 - 5 = j
9 - 5 = 4
m + j = 22
18 + 4 = 22
22 = 22
Re-write the quadratic function below in Standard Form
y = -4(x – 7)(x - 1)
Step-by-step explanation:
y = -4(x – 7)(x - 1)
= -4(x²-8x+7)
= -4x²+32x-28
Factor the expression.
10g3 + 15g2 – 12g – 18
(5g2 + 6)(2g – 3)
(5g2 + 3)(2g – 6)
(5g2 – 3)(2g + 6)
(5g2 – 6)(2g + 3)
Answer:
Hopes this helps!!!!!!! :D
Step-by-step explanation:
48g-1820g^2-18g-1820g^2-54g-1820g^2+54g-1820g^2+18g-18All i did was plug in the problems to the caluculator lol
I need some help I have no idea
22L/min= xL/hour
Complete the conversion.
Answer:
may be 1320L/hr
Step-by-step explanation:
not sure
Answer: X = 1320L/Hour
Explanation : 22L/min = 1320L/Hour
Tristan has 3 bottles of water and 4 bottles of juice in his ice chest. What is the probability that he will reach into the chest and pull out two bottles of juice in a row if he does not replace the first one?All answers should be given as a fraction in simplest form!
Any help would be appreciated, Thanks!!!
Answer:
Step-by-step explanation:
P(j=1st) =4/7
P(j=2nd) =3/6
P(j two in a row) = (4/7)*(3/6)= 12/42 = 6/21 = 2/7
P(j two in a row) = 2/7
Find the equation to the line below.
1
[?
Х
y =
Answer:
y= -4/3x
Step-by-step explanation:
hope this helps :)
Tornadoes usually come from a part of the storm that is low to the ground. *
True
or
False
Answer:
false
Step-by-step explanation:
they form when winds conbine a certain way
equivalent fractions,please help me!!
Answer:
54/81 is the answer
Step-by-step explanation:
How can the logarithmic expression be rewritten? Select True or False for each statement. Statement True False 4 log3 c + 4 log; d = log2 (cd)* å (In a + In b) = ln Va464 3 Ine + 2 ln $ = In ( ) 0
Answer:
TrueFalse FalseHope it helps :)
The first two logarithmic expressions are true and the third one is false.
What is a logarithm?The logarithm is exponentiation's opposite function in mathematics.
This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.
Given, [tex]4log_3c + 4log_3d = 4log_3cd[/tex].
= [tex]log_3(cd)^4[/tex] it is true.
[tex]\frac{3}{4}(lna + lnb) = \frac{3}{4}ln(ab)[/tex].
= [tex]ln(ab)^{\frac{4}{3}}[/tex] it is true.
[tex]3lne + 2lnf = lne^3 + lnf^2[/tex].
= [tex]ln(e^3f^2)[/tex] it is false.
learn more about logarithms here :
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4.Maria tossed a coin three times. She wrote
a list of her possible outcomes. How many
outcomes on her list had at least one Tail?
A. 1
B. 3
C. 7
D. 8
Answer:
(a) 1
Step-by-step explanation:
In each outcome triplet, each flip has a chance to be H or T. Thus, the following describes all the possible outcomes:
HHHHHTHTHHTTTHHTHTTTHTTTWe see that the only option without one tail is the first one, HHH, so the answer is (a) 1.
If 8 cents are needed to buy 10 pebbles, how many dollars are needed to buy 205 pebbles?
Answer:
Hello There!!
Step-by-step explanation:
If 8 cents=10 pebbles then do 205 divided by 10 which is 20.5 . So, 8×20.5=164 dollars.
(8×20.5=164) 8 cents=10 (10×20.5=205)
164 dollars=205
Therefore,the answer is 164 dollars.
hope this helps,have a great day!!
~Pinky~
consider the first six terms
in the sequence -11,-4, 3, 10, 17,24
Answer:
Next term is 31
Step-by-step explanation:
The numbers keep going up by 7.
If this has helped you please mark as brainliest
help me plz help me I need help
Step-by-step explanation:
-30/100 * 140 = 420/10, 0 gets canceled, so x= 42
-64/100 * 40/1 = 64 *4/10 = 256/10 (simplify by 2) = 128/5 (I'm not sure on this one)
-z = 10
HELP 5TH GRADE MATH B ,N ,N
A shelf is built on a wall, as shown below. What is the value of x?
Answer:
X=25
Step-by-step explanation:
All angles of a triangle add up for 180
We know that there is a 90 degree right angle.
So (x+25)+(2x-10)=180-90
Remove parenthesis since they don't matter in this problem.
x+25+2x-10=90
Combine similar terms
3x+15=90
Subtract 15 from both sides
3x=75
Divide both sides by 3
x=25
A tutor charges $5 for each class he takes per day that lasts for an hour. For each additional hour he tutors he charges $3.
Match the number of hours he tutors for in the first column with the money he makes from it.
4
2
DRAG & DROP THE ANSWER
܃ ܃ ܃ ܃
$14
5
$17
3
$11
$20
Answer:
4, $17
2, $11
Step-by-step explanation:
Given data
Charge= $5
Additional Charge= $3 per hour
The total charge will be
y= 5+3x
Number of hours
1. for 4 hours
The total will be
y= 5+3(4)
y= 5+12
y= $17
2. for 2 hours
The total will be
y= 5+3(2)
y= 5+6
y= $11
Solve for x.
Need help, Thank you!!
Also, i need explanation.
Answer:
7.) x = 12
9.) x = 4
Step-by-step explanation:
7.) Angle Y and Angle X both add up to 180
=> 40 + 12x - 4 = 180
=> 36 + 12x = 180
=> 12x = 180 - 36
=> 12x = 144
=> x = 12
9.) Angle W and Angle X add up to 180
=> 145 + (-1) + 9x = 180
=> 144 + 9x = 180
=> 9x = 180 - 144
=> 9x = 36
=> x = 36 / 9
=> x = 4
Hope this helps!
PLZ HELP I BEGG!! 100 POINTS AND BRANLIEST
Answer:
Vertical angles are opposite angles that are formed from two intersecting lines. From this, the vertical angle to 3 is 5
Answer:
Step-by-step explanation:
<3 is a right angle so its opposite angle is vertical to it. The answer is <5.
Square the binomial: (4x-5)^2
Answer: 16x^2 - 40x + 25
Step-by-step explanation:
HELP PLSPLSPSL check image
Answer:
D
Step-by-step explanation:
G(x)=3/x find g'(x) a) by using the quotient rule: b) by first rewriting the expression using exponents and then differentiating.
Answer:
a) The quotient rule is:
if: f(x) = 1/g(x)
Then:
[tex]f'(x) = -\frac{1}{(g(x))^2}*g'(x)[/tex]
In this case, we have:
G(x) = 1/x
Then we can write this as:
G(x) = 1/h(x) with h(x) = x, and h'(x) = 1
Using the above rule we get:
G'(x) = -(1/h(x)^2)*h'(x) = -1/x^2
b) For a function like:
f(x) = x^n
we have that:
[tex]f'(x) = n*x^{n - 1}[/tex]
Here we can write G(x) = x^-1
Then we have n = -1
If we use the above rule, we get:
[tex]G'(x) = (-1)*x^{-1-1} = -1*x^{-2} = \frac{-1}{x^2}[/tex]
So we got the same result using both methods.