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:
PLEASE HURRY XX
Find a equation that matches the graph.
Answer:
x ≥ 3
Step-by-step explanation:
The closed dot represents ≥ and ≤
The dot is located on the number "3"
The closed dot essentially shows that the solution is nothing more than 3 and up.
Let "x" be the variable we use.
x ≥ 3
Best of Luck!
The above never line shows the possible values of an variable in any expression.
Through Observation:
The arrow pointing from 3 to infinity.3 is represented by a closed dot.The value is starting from 3 to infinity.Hence, the required value of the variable can be equal to 3 or greater than 3 for that expression. This can be written as:
[tex] \large{ \boxed{ \rm{ x\geqslant 3}}}[/tex]
Carry On learning !
Select the word that best completes the sentence.
Maya is asked to solve the equation 2(3x + 6) = 3(x - 10). The table shows her steps.
Given
2(3x + 6) - 3(x - 10)
Step 1
6x + 12 = 3(x - 10)
Step 2 6x + 12 - 3x + 30
Step 3 3x + 12 - 30
Step 4 3x - 18
Step 5 x = 6
Complete the sentence.
Maya made a mistake
between _____ Step 1 and Step 2. A. Adding B. Distributing C. Dividing D. Subtracting
Answer:
B
Step-by-step explanation:
susuusjakaajjajajajaajajaj
if f(x)=3x-2 and g(x)=+1, find (f+g)(x)
A. 5x-3
B. 5x-1
C. x-1
D. x-3
Answer:
3x-2+2x+1=5x-1
Step-by-step explanation:
Sara is selling tickets to a high school festival. She sold 10 less senior tickets than junior tickets and she sold 3 times as many sophomore tickets as junior tickets (no freshman allowed). Senior tickets cost $3, junior tickets cost $5 and sophomore tickets cost $7. Sara raised $782. Write an equation to model the situation so that we can find the amount of tickets sold to seniors, juniors, and sophomores.
Answer:
[tex]29x-30=782[/tex] where x denotes number of junior tickets.
Step-by-step explanation:
Let x denotes number of junior tickets.
Sara sold 10 less senior tickets than junior tickets.
Number of senior tickets [tex]=x-10[/tex]
Sara sold 3 times as many sophomore tickets as junior tickets.
Number of sophomore tickets [tex]=3x[/tex]
Senior tickets cost $3, junior tickets cost $5 and sophomore tickets cost $7.
Total amount raised by Sara [tex]=5x+3(x-10)+7(3x)=5x+3x-30+21x=29x-30[/tex]
Sara raised $782.
So,
[tex]29x-30=782[/tex]
frank plans to spend no more than $85 on plants for his front garden. He purchases a salvia and three azaleas. The azaleas cost $22 each. Let c be the cost for a salvia. Which inequality below could be used to show how much money Frank spent on salvia?
Answer: 3×22+c≤85
Step-by-step explanation: i think the answer is 3×22+c≤85 because 3x 22 represent the total cost of azaleas + c the cost of salvia is less than or equal to 85 because the buget is 85 and it cannot be great
Hope this helped
select all input values for which f(x)=3
Answer:
Step-by-step explanation:
x=-3
Answer:
x=3
Step-by-step explanation:
Nilda has $250 in her savings account. She plans to save $15 per week from her salary. Iona has only $200 in her account but can save $20 a week from her paycheck. How many weeks will it take before the amount in each savings account is the same?
Answer: 10 weeks
Step-by-step explanation:
Nilda's money = 250 +15x being x the number of weeks that have passed
Lona's money= 200+20x
If they have the same amount, then
250+15x=200+20x
250-200=(20-15)x
50=5x
50/5=x
10=x
Answer:
10 weeks
Step-by-step explanation:
Nilda's money = 250 + 15x
Lona's money = 200 + 20x
250 + 15x = 200 + 20x
250 - 200 = (20 - 15)x
50 = 5x
10 = x
I need help but ill give brainless but dont guess actally try cuz i dont get it
Answer:
The length of AB is 3 squares
Length of A' B' is 9 squares
Point A is (2,1)
Point a' is ( 6,3)
Step-by-step explanation:
I am not sure what the scale factor is though. I have never heard of it. Sorry!
simplify 3/6 over 4 pleaseeeeeeee
Answer:
Answer:
Use Mixed Numbers 3/6 ÷ 4
This is the same as division with fractions.
Step-by-step explanation:
Answer:
Step-by-step explanation:
1
-
8
Use 4 twos, parentheses, and 3 operations to get
an answer of 0.
Answer: 2 - 2 + (2 + 2) × 0 = 0
Step-by-step explanation: there you go hope this helps also can I get brainliest
Fill in the missing number to complete the linear equation that gives the rule for this table.
f(x) = x
Answer:
4
Step-by-step explanation:
because 4x4 is 16
5x4 is 20
6x4 is 24
and so on
Answer:
f(x) = ax
Step-by-step explanation:
Does anyone know this answer 7/2 x 6/7 thats one question second question is 1/7 x 5/2? help :(
Answer:
First one is 3 and second is 5/14
Step-by-step explanation:
Answer:
first is 14/12 simply it will be 2/2 witch cost it to be a whole number so it will become 1. and the other on is 2/35 agian simply it will be 2/5.
Step-by-step explanation:
-6 = 3/8x - 2 + 1/8x
Answers:
x = -16
x = 8
x = -8
x = -4
Answer:
x = -8
Step-by-step explanation:
Hope This Helps!
Plz mark Brainliest
Answer:
x=−8
Step-by-step explanation:
Let's solve your equation step-by-step.
−6=3/8x−2+
1/8x
Step 1: Simplify both sides of the equation.
−6=3/8x−2+1/8x
−6=3/8x+−2+1/8x
−6=(3/8x+1/8x)+(−2)
(Combine Like Terms)
−6=1/2x+−2
−6=1/2x−2
Step 2: Flip the equation.
1/2x−2=−6
Step 3: Add 2 to both sides.
1/2x−2+2=−6+2
1/2x=−4
Step 4: Multiply both sides by 2.
2*(1/2x)=(2)*(−4)
What goes in the blanks for "Table: Constant change across the _____ and constant change of the _____."
Answer:
Constant change across the y, and constant change of the x.
This is my guess
Stephen Curry plays for the Golden States Warriors and touts a 90% free throw shooting record. If he shot 20 free throws in a game, how many did he miss?
I NEED HELPPPPPPPP PLEASE
He missed 2.
90% of 10 is 9. So he makes 9 shots and misses 1 for every 10 free throws.
So just double that number (1 shot missed) and so you get 2 missed shots
Hope this helps, and please consider marking branliest if this did
what is an equation of the line that passes through the points (-6,2) and (6,-2)
Answer:
y = -1/3 x + 8/3 or 3y = -x + 8
Step-by-step explanation:
m = (-2 - 2) / [(6 - (-6)]
= -4 / 12
= -1/3
Use (-6, 2) and substitute in the formula:
y = mx + b
2 = -1/3 (2) + b
2 = -2/3 + b
2 + 2/3 = b
8/3 = b
y = mx + b
y = -1/3 x + 8/3 or 3y = -x + 8
i would like to keep track of how much candy i eat each day remember the y axis is vertical and axis is horizontal
Answer:then the days would be on the x axis (dependant variable) and the Amount of candy would be on the y axis(independent variable=something that can be changed)
Which property does the following
equation represent?
62? + 43 = 43+ 6x2
Answer:
commutative
Step-by-step explanation:
you are typing the same numbers but in different order
HELP ASAP
Ben travels by train 19 miles to work if ben travels 8 times a week how many miles does he travel
Answer: 152 miles
Step-by-step explanation:
19 x 8 = 152
Which of the following statements is true about the three quadrilaterals? (5 points)
Group of answer choices
N and O are similar and congruent.
M and N are similar and congruent.
M and O are similar but not congruent.
M and N are similar but not congruent.
Answer:
3
Step-by-step explanation:
M and O are similar but not congurent is
Answer:
The right one would be D
Step-by-step explanation:
Help needed ASAP will give you BRAINLIEST and 5 stars rate
Answer: It would be the last option, "Photograph." Graphic features found in the text are images, drawings, charts, graphs, etc.
Answer:
A
Step-by-step explanation:
It would be the first one.
Alonzo earns 8% commission on vacuum cleaner sales. This past month, Alonzo sold 70 units at $150.00 each. How much did Alonzo make in commissions for the past month?
Answer:
$840
Step-by-step explanation:
First, multiply 70 by $150 to get the total amount the Alonzo earned
70 x 150 = 10,500
Then, multiply 10,500 by 1.08 to find the total amount made with commissions.
10,500 x 11,340
Finally, subtract 10,500 from 11,340 to find the amount of money earned from commissions.
11,340 - 10,500 = 840
Answer:
$840
Step-by-step explanation:
Start by finding the total profit made:
70 • $150 = $10500
Then multiply the total by the commission rate, %8, which is equal to 0.08:
$10500 • 0.08 = $840
The answer is $840
7.13 x 6.2 = 44.206
write down two more multiplications with an answer of 44.206
Idk why but I need an image answer for this...
8.25
x6.75
Answer: 55.6875
Step-by-step explanation:
Answer:
8.25
x6.75
Step-by-step explanation:
55.6875
Which solid has the top, the side, and the front views given?
Answer:
H
Step-by-step explanation:
Only H looks like a square from the top.
Answer: H
A family had dinner in a restaurant and paid $30 for food. They also had to pay 9.5% s as le tax and 10% for the tip. How much did they pay for the dinner
Answer:
32.95
Step-by-step explanation:
In the equation shown, what is the value of n? 9^7/9^n=9^2
Answer:
MMMMMMMM
Step-by-step explanation:
A Plane flies with a velocity of 52 m/s south in a 12 m/s wind blowing in the same direction. Find the
combined direction and velocity of the plane.
Answer:
64 m/s and south directionStep-by-step explanation:
Wind direction is sameWind speed = 12 m/sPlane velocity = 52 m/sCombined direction is
same = southCombined velocity
52 + 12 = 64 m/sHow many terms does the expression “ 4 + 5 - 2x - 3” have?
Answer:
4 terms
Step-by-step explanation:
each number or each coefficient/variable combo is a term.
