a girl is three years older than his brother. the product of their ages is 54, find their ages
Answer:
The sister is 25.5. The brother is 28.5.
Step-by-step explanation:
25.5 + 28.5 = 54.
The boy's age is 9.
The girl's age is 12.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Boy's age = x
Girl's age:
y = x + 3
Now,
x (x + 3) = 54
x² + 3x - 54 = 0
x² + (9 - 6) - 54 = 0
x² + 9x - 6x - 54 = 0
x(x + 9) - 6(x + 9) = 0
x - 6 = 0
x = 6
x + 9 = 0
x = -9 ( cannot be negative)
Now,
x = 9
Boy's age = 9
Girl's age = 9 + 3 = 12
Thus,
The boy's age and the girl's ages are 9 and 12.
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If y’all could pls explain how to do this and give the answer
Given the following table, determine the missing value.
a. 1.15
C 15
b. 115
d. .15
Answer:
it's c because it's the missing value
ANSWER QUICK PLS WILL MARK BRAINLIEST
You should spend no more than 30% of your take-home pay on rent. Your take-home pay is $1,625 per month. How much
can you afford to pay for rent per month? (Remember to have a $ and 2 decimal places in your answer)
2. The population of Valdosta is 56,474 people. If the area of Valdosta is 36 mi?, what is the population density?
Answer:
Population density = 1569 persons per mile.
Step-by-step explanation:
Population density is a measure of how crowded or uncrowded a specific piece of land in a geographical location or country is.
Given the following data;
Total population, N = 56,474 people
Area, A = 36 mi
To find the population density;
Population density = N/A
Population density = 56474/36
Population density = 1568.72 ≈ 1569 persons per mile.
Therefore, the population density of Valdosta is 1569 persons per mile.
Answer:
1569 persons per mile
Step-by-step explanation:
Hope this helps
PLEASE HELP I WILL GIVE BRAINLIEST!!
Mike and his sister did some laundry at the laundromat. To wash a load costs $2 and to dry a load costs another $2. Mike and his sister washed and dried 4 loads of laundry. They also had to buy 4 packets of detergent for $1 per packet. How much money did Mike and his sister spend to do their laundry?
a) $16
b) $28
c) $12
d) $20
Answer:
answer is d) $20
Step-by-step explanation:
because 2x4=8 + 2x4=8 = $16 then 4 packets for $1 is $4 16+4= $20
Answer:
D) $20
Step-by-step explanation:
Wash plus dry = $4
$4 times 4 times = $16
$1 for one detergent times the four packets = $4
Total is $20
Need help plz and thank u
Answer:
94 friends
Step-by-step explanation:
25/100 × 376
376 ÷ 100 = 3.76
3.76 × 25 = 94
Please I need help on this!!
Answer:
A. 4
Step-by-step explanation:
For each of the values given for A, B, C, and D, you substitute the value in for m in the inequality.
2.5(4)+5 would have to be less than or equal to 25 in order for it to work. Well, 2.5x4 is 10 and then if you add 5, it is 15. 15 is less than 25, so 4 is the only value that works. The other numbers are too large if you substitute them into the equation.
Solve the following equation for 0 ≤ ѳ< 2π. Show your work.
sec^2ѳ-6=-4
Answer:
Step-by-step explanation:
sec²θ-6 = -4
sec²θ = 2
1/cos²θ = 2
cos²θ = ½
cosθ = ±1/√2 = ±√2/2
θ = π/4, 3π/4, 5π/4, 7π/4
Jeff's shipping service charges $8 for the first package and $2 for each additional package. Use a linear equation to determine the cost to ship 8 packages.
Answer: 22
Step-by-step explanation:
The linear equation to determine the cost to ship 8 packages is x=22.
Given that, Jeff's shipping service charges $8 for the first package and $2 for each additional package.
What is a linear equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form linear equation is Ax+B=0.
Let the total charge be $x.
Now, x=8+(8-1)2
⇒x=8+14
⇒x=22
Therefore, the linear equation to determine the cost to ship 8 packages is x=22.
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is 5x equivalent to x plus 5
Answer:
No
Step-by-step explanation:
<3
Ramona is a travel agent whose salary is $3,500 a month. She also receives a 6% commission on vacation package sales. For the month of January, she sells $4,200 in vacation packages. In total, how much money did Ramona earn for the month of January?
Answer:
add 3,500 to 4,200 then divide or multiply or subtract by a number or add to find your answer just like my question
Step-by-step explanation:
PLZ HELP DUE IN 30 MIN
Answer: 10 minutes
Step-by-step explanation: the red line (company a) and the blue line (company b) intersect at the same point one time, at the $20 for 10 minutes point on the graph
Answer:
20$
Step-by-step explanation:
the lines Intersect on the 20
What is the measure of angle 6? Please help :(
Answer:
hhhhhhhdjskafwlsgsksyskdkhdjdjjdjh
Can someone answer and explain ILL MARK BRAINLIEST
Answer:
x=1
y=-2
Step-by-step explanation:
2x-3y=8
4x+3y=-2
When we add the two equations, the y’s cancel out and we’re left with
6x=6
x=1
Now that we know x=1, we put it back in one of the equations to find y.
2(1)-3y=8
-3y=6
y=-2
In cos(0.3), what unit would 0.3 be? Is it radians? Also if you were to solve it, would the answer be in radians as well? Please explain.
Answer:
22
Step-by-step explanation:
Answer:
Depends on what math you are doing
Step-by-step explanation:
I believe in Trig you use radians while in Geometry you use degrees.
Help fast plz 100 points!
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The given function is a downward-facing parabola
The vertex of the function is at (-3, -4) and the function become 1-on-1 after x = -3.
1-to-1 at [-3, inf.)
And to find the inverse, swap positions of x and y:
[tex]f(x) = -\sqrt{-x-4}-3[/tex]
...and if you switch the order of the numbers, you get the function in choice C
Please help I give brainliest
Answer:
Angle T
Step-by-step explanation:
The paths walked by two different people are represented by the vectors graphed below.
Which point represents the sum of the two paths?
A
(3,6)
B
(6,11)
C
(8,11)
D
(8,6)
Answer:
8,6
Step-by-step explanation:
if its the sum, you just add them together.
Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them. Which equation will help find x, the amount he pays for a pack of pens? How many solutions will this equation have?
Answer:
you 3.15+5 es igual a 8 .15
Step-by-step explanation:
espero que te sirva
Jose is buying fencing to surround his garden. If his garden has a perimeter of 24 yards, and fencing costs $3.00 a foot, how much money will he need for the fencing?
Answer:
216 dollars
Step-by-step explanation:
24yd*3= 72 feet*3= 216 dollars
if my answer helps please mark as brainliest.
Answer:
72$
Step-by-step explanation:
24*3.00
A solid has 20 vertices and 30
edges. How many faces does
it have?
Answer:
12 Faces
Step-by-step explanation:
Answer:
Step-by-step explanation:
12 faces is the answer !!
What is 10x -5 + 3x -2
[tex]10x -5 + 3x -2[/tex], original equation
[tex]10x + 3x = 13x[/tex] [tex]-5-2=-7[/tex]
[tex]13x -7[/tex], final answer
Add the rational expression
Add the rational expression
[tex] \sf \large{ \frac{3}{6x {}^{3} } + \frac{4x}{2x}}[/tex]
[tex] \sf \large{ \frac{1}{2x {}^{3} } + 2}[/tex]
[tex]\sf \large \purple{ = \frac{4x {}^{3} + 1 }{2x {}^{3} }}[/tex]
A school holds classes from 8.00am to 2.00pm. For what percent of a 24 hour day does school hold classes?
Answer:
25%
Step-by-step explanation:
8 am to 2 pm is 6 hours
6 is 25% of 24
Answer:
25%
Step-by-step explanation:
6 four times is 24 and 24 in half is 12 and 12 in half is 6 so you split it up equally you have a percentage of 25%
what is the GCF of 20 and 6x^2
Answer:
2
Step-by-step explanation:
In ASTU, the measure of ZU=90°, the measure of ZS=16°, and TU = 5.9 feet. Find
the length of ST to the nearest tenth of a foot.
Answer: 21.4
Step-by-step explanation:
basically everything is in the picture PLEASE HELP me ASAP and I'll give you the BRAINLIEST PLS HELP IM BEGGING.
Answer:
54.45in^2
Step-by-step explanation:
^2 is squared
4 2/3 x 13 literally dont want to do the work
Answer:
60 2/3
Step-by-step explanation:
What does the following symbol mean in mathematics? For example, on the pyramid
shown below, what does it mean?
Answer:
The cursive l stands for slant height. It is the altitude of the triangular side