Able has a younger sister and an older brother. - Able's age can be represented by x. - Able's sister is 4 years younger than him. - Able's older brother is twice as old as he is. - The combined age of all three siblings is 32. How old is Able's younger sister?
Given:
Able's age can be represented by x.
Able's sister is 4 years younger than him.
Able's older brother is twice as old as he is.
The combined age of all three siblings is 32.
To find:
The age of Able's younger sister.
Solution:
Able's age can be represented by x.
Able's sister is 4 years younger than him.
Age of Able's sister = (x-4)
Able's older brother is twice as old as he is.
Age of Able's older brother = 2x
The combined age of all three siblings is 32.
[tex]x+(x-4)+2x=32[/tex]
[tex]4x-4=32[/tex]
Add 4 on both sides.
[tex]4x=32+4[/tex]
[tex]4x=36[/tex]
Divide both sides by 4.
[tex]x=\dfrac{36}{4}[/tex]
[tex]x=9[/tex]
The age of Able is 9 years. So, age of his younger sister is
[tex]9-4=5[/tex]
Therefore, the age of Able's sister is 5 years.
Answer:
Step-by-step explanation:
y=-2x+4 y=6x+12 substitution method
Answer:
x = - 1, y = 6
Step-by-step explanation:
Given the 2 equations
y = - 2x + 4 → (1)
y = 6x + 12 → (2)
Substitute y = 6x + 12 into (1)
6x + 12 = - 2x + 4 ( add 2x to both sides )
8x + 12 = 4 ( subtract 12 from both sides )
8x = - 8 ( divide both sides by 8 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (2)
y = 6(- 1) + 12 = - 6 + 12 = 6
Solution is (- 1, 6 )
What is true when a line crosses the y axis
Answer:
The x-intercept occurs when y is zero. The y-intercept is the point, (0,b) , where the graph crosses the y-axis . The y-intercept occurs when x is zero.
Step-by-step explanation:
The cost of a flight on jetBlue is $1,000. The prices are predicted to be marked up to $1,350tomorrow. Whatpercent is the price of the ticket expected to increase?
Answer:
35%
Step-by-step explanation:
1,000 + 35% = 1,350
Grace is playing a game with her friends. Each player gets
5 pieces. In all, there are 45 pieces on the game board.
Which number sentence can be used to find the number
of people playing the game?
A
45-5=
B
45-5=
c
45x5
D
45+5=
Places A and B are 100km apart from each other on a highway. A car starts from A and another from B at the same time. If they move in the same direction, they meet in 10 hours and if they move in opposite directions, they meet in 1 hour and 40 minutes. Find the speeds of the cars.
Answer:
Speed of the first car = x = 35km/hr
Speed of the second car = 25km /hr
Step-by-step explanation:
The calculation of speeds of the cars is given below:-
Assume that the speed of the 1st car which is opening from A = x km/hr
and assume the Speed of the 2nd car which is starting from B
= y km/hr
As we know that
Time = Distance ÷ Speed
So, the distance lies between two places i.e. A and B are
80km d = 80 km
1. now when the car moves in the similar direction
So, the corresponding speed of them = (x + y)km/hr
Time = 8hr
d = 80km
[tex]8 = \frac{80}{(x + y)}\\\\x + y = \frac{80}{8}\\\\x + y = 10 ..... (i)[/tex]
2. when two cars moving in the inverse direction,
So, the corressponding speed = (x - y) km / hr
Time = 1 hr 20 minutes
That means
= (1 + 20 ÷ 60) hr
= (80 ÷ 60)
= 4/3 hr
d = 80km
Now
4 ÷ 3 = 80 ÷ (x -y)
x -y = (80 × 3) ÷ 4
x - y = 60 ..... (ii)
Now, we will sum equation 1 and equation 2 we will get
2x = 70
x = 35
now, Put x = 35 in (i) we will get
y = 25
Speed of the first car = x = 35km/hr
Speed of the second car = 25km /hr
Please answer. Will mark Brainliest!!
Cecilia simplified an expression. Her work is shown below.
(6 and one-half + 2 and three-fourths) minus 1.5 times (4.5 divided by 0.5)
Step 1 9 and one-fourth minus 1.5 times (4.5 divided by 0.5)
Step 2 7.75 times (4.5 divided by 0.5)
Step 3 7.75 times 9
Step 4 69.75
Where did Cecilia make her first mistake?
step 1
step 2
step 3
step 4
WIll mark brainliest !
Answer:second one
Step-by-step explanation:
you then have to distribute the answer not subtract 9 1/4 from 1.5
you have to do the parenthesis next
4.5/0.5=45/5=9
then
1.5*9= 13.5
then
9.25-13.5 which I think you are capable of solving
Answer:
Answer is B
Step-by-step explanation:
I did the test
Which of the following lists is in order from smallest to largest?
0.05, 0.2, 0.48, 0.6
0.2, 0.05, 0.48, 0.6
0.2, 0.48, 0.05, 0.6
0.05, 0.2, 0.6, 0.48
WHO EVER SAYS IT FIRST GETS 100 POINTS
Answer:
first option
Step-by-step explanation:
Answer:
A. 0.05, 0.2, 0.48, 0.6.
Solve pls it’s fun trust me
Answer:
22
Step-by-step explanation:
blue = 1
red = 10
green= 2
Answer:
43
Step-by-step explanation:
red:10
green 1:4
green 2:8
blue 1:3
blue 2:6
blue 1 + red 1 * green 1
PEMDAS: (10*4)=40
3+40=43
There are 192 players on 12 teams. How many players are on each team?
There are
players on each team.
Answer:
16
Step-by-step explanation:
help im stupid plzzzzz
Answer:
the third option: x + 2(2x - 4) = 10
Step-by-step explanation:
the question tells you that y = 2x - 4.
so, instead of writing y in the equation, just replace it with 2x - 4.
x - 2y = 10
becomes
x - 2(2x-4) = 10
Exspress the ratio from the simplest form 72:36
Jacob received 685 votes in the school election.
If he received 125 more than 2/3 of the total
number of votes, how many students voted in
the election?
Answer:
840
Step-by-step explanation:
He gets 685 votes. This is 125 more than 2/3 of the total number of votes. So 2/3 must be 125 less than 685.
2/3=560
So ÷2 to find 1/3, because 2/3 ÷2 = 1/3.
1/3=280
So then you x3 because 1/3x3=3/3, or 1 whole.
1 whole=840
840=total number of votes
Which of the following angles are congruent angles on parallel lines? Select all that apply!
Answer:
Step-by-step explanation:
Several congruent angles are formed.
Vertical angles are formed.
Complementary angles are formed.
Supplementary angles are formed.
Obtuse angles are formed.
1
Which expression shows exponential growth? Check all that apply.
4x
0.05x
400(1.025)t
3x2 + 2x
4x – 5
1.87612x + 3
Answer:
1.3.6
Step-by-step explanation:
i took the test its right
Answer:
1,3,6
Step-by-step explanation:
it is correct
In a basketball contest , Elizabeth
Answer:
Elizabeth what??????
Explain the difference between 1/2 and 1/2%
Answer:
1/2 is 0.5
but % means times by 0.01
so 1/2% is way more smaller
-11 2/3 × ( -4 1/5 )=
Your friend shows you the problem below. He says that the Associative Property allows you
to change the order in which you complete
two operations. Is your friend correct? Explain.
Answer:
Your friend is incorrect
Step-by-step explanation:
(a + b) + c = a + (b + c) .... associative property of addition
(ab)c = a(bc) .... associative property of multiplication
(a + b)c = a + (bc) .... Incorrect
(ab) + c = a(b + c) .... Incorrect
Evaluate 2(4-1)² please
Answer:
18
Step-by-step explanation:
2×(4 - 1) ^2
2 ×3 ^2
2 ×9
18
A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to determine b2, the length in inches of the second base of the trapezoid.
12(4.5+b2)(6)=21
Answer:
[tex]b_2 = -2.5[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2}(4.5 + b_2) * 6 = 21[/tex]
Required
Determine the value of T
[tex]\frac{1}{2}(4.5 + b_2) * 6 = 21[/tex]
Multiply both sides by 2
[tex]2 * \frac{1}{2}(4.5 + b_2) * 6 = 21 * 2[/tex]
[tex](4.5 + b_2) * 6 = 42[/tex]
Divide through by 6
[tex]4.5 + b_2 = 42/6``[/tex]
[tex]4.5 + b_2 = 7[/tex]
[tex]b_2 = 7 - 4.5[/tex]
[tex]b_2 = -2.5[/tex]
Gina made 9{,}350 \text{ mL}9,350 mL9, comma, 350, start text, space, m, L, end text of chicken noodle soup. She packed 1.8 \text{ L}1.8 L1, point, 8, start text, space, L, end text of the soup in her kids' lunches. She froze the rest of the soup. How many milliliters of soup did Gina have left to freeze? \text{mL}mL
Answer:
[tex]Frozen\ Soup = 7550mL[/tex]
Step-by-step explanation:
Given
[tex]Soup = 9,350mL[/tex]
[tex]Packed = 1.8L[/tex]
Required
Determine the frozen soup
This is calculated as thus:
[tex]Frozen\ Soup = 9,350mL - 1.8L[/tex]
Convert 1.8L to mL
[tex]Frozen\ Soup = 9,350mL - 1.8 * 1000mL[/tex]
[tex]Frozen\ Soup = 9,350mL - 1,800mL[/tex]
[tex]Frozen\ Soup = 7550mL[/tex]
Translate the following statement into an algebraic expression Use x for your variable. The sum of the cube of a number and seven times the number.
Answer:
[tex]x^{3} + 7x[/tex]
Step-by-step explanation:
cube of a number is the number multiplied by itself thrice.
This means:
x × x × x = [tex]x^{3}[/tex]
Seven times (multiply, ×) the number(x) means:
7 × x = [tex]7x[/tex]
We are to sum (add, +) both:
[tex]x^{3}[/tex] + [tex]7x[/tex]
Answer is [tex]x^{3}[/tex] + [tex]7x[/tex]
Help!! Need done by today!!!!!!Please tell me the errors in here and what the correct answer should be!!! Will give u extra points!!!!!!
The equation is y = mx + b. b is the y intercept, which means the line intersects the y axis at 50, not the x axis. Also, the equation is an inequality and you wrote an equation. The inequality should be 100 ≥ 4x + 50, or 50 ≥ 4x. If y = 4x + 50, then 100 ≥ y.
Also, in the end you got 12.5. 12.5 is not a number of people that can attend her party. The number has to be a positive integer.
Usually, inequalities are graphed with shading up or down. In this case it is down because you have a limit on how much Gamora can spend.
The actual answer is 12 people.
Your answer was almost right if only you had converted it to the greatest positive integer less than 12.
Your graphing was wrong because you put 50 as the x intercept instead of the y intercept, and you forgot to shade. The question tells you to graph an inequality.
I hope this helps because I spent a long time typing this :)!
Please help me I don't know how to do this look at the attachment for the question
the answer is 95.
Step-by-step explanation:
180-85=95
Answer:
m<1= 95
Step-by-step explanation:
180-85=95
A cheese pizza at Chicago's Deep Dish pizza costs $7. Each topping costs an additional $0.75. A cheese pizza at Brooklyn's cost $12. Each topping costs an additional $0.50. Write an equation that represents how many toppings, y, must be added so that the two pizzas cost the same?
Step-by-step explanation:
Let the number of toppings be y
If cheese pizza at Chicago's Deep Dish pizza costs $7 and each topping costs an additional $0.75, the total amount of the dish pizza will be expressed as;
$7 + $0.75y ..... 1
Also, if a cheese pizza at Brooklyn's cost $12 and each topping costs an additional $0.50, then the total cost of cheese pizza will be;
$12 + $0.50y ........ 2
If the two pizzas cost the same, then equation 1 will be equal to equation 2 as shown;
7+0.75y = 12+0.50y
Make y the subject of the formula to generate the required equation for y:
0.75y-0.50y = 12-7
0.25y = 5
divide both sides by 0.25
0.25y/0.25 = 5/0.25
y = 5/0.25
y = 20
Hence the equation that represents how many toppings, y, must be added so that the two pizzas cost the same is y = 5/0.25 and the number of toppings added is 20.
-7/-11 is the same as -7/11 True or false (Plz help me
Answer: False
Step-by-step explanation:
Two negatives equals a positive
Answer:
FALSE
Step-by-step explanation:
A building has the shape of a pyramid with a square base. The midsegment parallel to the ground of each triangular face of
the pyramid has a length of 58 feet. The perimeter of the base of the pyramid is
feet.
Answer:
The length of the base the pyramid is 116 feet.
Step-by-step explanation:
See the diagram attached to this answer.
Let Δ OAB is the side triangle of the square pyramid, and A'B' is the mid segment parallel to the ground with length of 58 feet.
Now, Δ OAB and Δ OA'B' are similar triangle and the length of sides of the triangle Δ OA'B' are in the same ratio with the corresponding sides of Δ OAB.
Hence,
⇒ AB = 2 × 58 = 116 feet.
The length of the base the pyramid is 116 feet. (Answer)
( -6)^0 solve this problem
Answer:
1
Step-by-step explanation:
Answer:
Anything raise to 0 is 1
so (-6)^0=1