Answer:
Sam = 6 years
Linda = 22 years
Step-by-step explanation:
this is best solved by using an algebraic equation
let Sam's age be x
let Linda's age be 4x
now that we defines our variables let's make an algebraic equation
the sum of their ages is 28 so
4x + x = 28
combine like terms
5x = 28
find for x
x = 28÷ 5 = 5.6 (don't approximate yet let's take the raw age)
Sam is 5.6 years
Linda is 4 years older so we multiply Sam's age by 4
4 × 5.6 = 22.4
Linda is 22.4 years
now let's round our answers to the nearest whole
5.6 ~ 6 years
22.4 ~ 22 years
let's double check and add our answers now
22 + 6 = 28
the answer is correct
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
[ READ ATTACHMENTS ] !!! [ HELP ME ASAP PLEASE!! ]
A.) $4,000
B.) $5,100
C.) $4,100
D.) $3,900
Total up the Consumption,Investment, Government Spending and Exports then minus the Total Imports. So the correct answer is C. $4,100
If my dad drives at a rate of 120 miles every 2 hours, how many miles will he drive in 12 hours? A 720 miles B 320 miles C 120 miles D 600 miles. please help me....
Answer:
A: 720 miles
Step-by-step explanation:
Since in 2 hours he drives 120 miles we can calculate the rate for 1 hour by diving the miles by 2
1 hour he will have driven 60 miles
Since we are looking for how much would be driven in 12 hours we multiply 60 by 12. Giving us 720 miles in 12 hours
ples help meeeeeeeeeeeeeeeeeeeeeee
Answer:
po 989r9 vcmc cohol,j
Step-by-step explanation:
20 decreased by the product of 5 and a number x
Urgently please it is due today
Answer:
1/4.
Step-by-step explanation:
There are 12 possible outcomes.
There are are 3 outcomes represented by 4B.
So required probability = 3/12 = 1/4.
solve by factoring x^2+5-14=0
Answer:
Factored -> (x+7)(x-2)
Step-by-step explanation:
If you are solving for x then its x= -7, x=2
sales tax is 7% what is the amount of sales tax you would pay this bill
% means per 100
so when figuring out percents it's good to use 100
so
on $100 7% would mean $7
on $50 7% would mean $3.5
in $200 7% would mean $14
Write 9 2/3 as a inpropper fraction
Answer:
29/3
Step-by-step explanation:
hopes this helps :)
Which of the following sets of lengths could form the sides of a triangle? Choose all that
apply.
А
7, 9, 17
B
7, 2,8
C
3, 1,5
D
6, 3,5
E
12, 12, 13
F
3,11,8
Answer:
B, D and E
Step-by-step explanation:
The first triangle inequality theorem states:
the lengths of any two sides of a triangle must add up to more than the length of the third side.
So as long as the sum of the two shortest is greater than the longest side a triangle is possible
А
7 + 9 < 17 NO
B
2 + 7 > 8 YES
C
1 + 3 < 5 NO
D
3 + 5 > 6 YES
E
12 + 12 > 13 YES
F
3 + 8 = 11 NO
Bianca deposits $3,000 in a savings account earning 4.25% simple interest per year. Part A How much interest will Bianca earn for a period of 3 years?
Answer:
$382.5
Step-by-step explanation:
First get the 4.25% of $3000. then multiply it by 3-representing 3 years.
hope it can help you lovelots
In which quadrant is the number –14 – 5i located on the complex plane?
I
II
III
IV
In which quadrant is the number –14 – 5i located on the complex plane? I II III IV
Answer:
III
Step-by-step explanation:
go 14 left and 5 down, and you're in the third quadrant
Answer:
III (Third quadrant)
Step-by-step explanation:
Okay, in terms of complex numbers, the x axis is the imaginary scale while the y axis is the real scale. And this works just like a normal x and y axis! We can break down -14-5i into -5i and -14, and -5i is the imaginary number on the x axis, so we move five units to the left from the origin. -14 is the real number, so we then move down 14 units, and we end up with a coordinate that is in the III, or third, quadrant. Hope this helps! :)
Amir invests £2000 into an savings account.
Amir gets 4.75% per year compound interest.
Work out how much Amir will have in the account after 9 years.
Answer:
£30000
Step-by-step explanation:
I used a couculator
-3(u+4)-2u=2(u+1)
a) no solution
b) u=
c) All real numbers are solution
Answer: u = -2
Step-by-step explanation:
-3(u+4)-2u=2(u+1)
-3u-12-2u=2u+2
-5u-12=2u+2
-7u = 14
u = -2
Consider the following shape drawn on a centimetre grid. I 1.1) Determine the perimeter of this shape.
Answer:
its 19 ur welcome byeeee
Step-by-step explanation:
If f(x)=X^2+1, g(x)=9x_1
Answer:
I dod not understand the question. Do you need to find the solution? ifso, it is (0,1)
Step-by-step explanation:
answer and please show work.
PLEASE ANSWER THIS AS SOON AS POSSIBLE AND CORRECTLY
This table represents the number of inches, n, a plant grows after m, months in a new pot.
When graphed, all of the points in the table lie on the same line.
Months, m Plant height in inches, n
0 2
2 4
4 6
6 8
What are the slope and y-intercept of the line?
Question 1 options:
Slope = 2, y-Intercept = -4
Slope = -2, y-Intercept = -4
Slope = 1, y-Intercept = 2
Slope = -1, y-Intercept = 2
Answer:
Y-Intercept would be 2, Slope would be 1
Step-by-step explanation:
f(1) = 4
f(x) = f(x-1) + 3
Find f(2)
f(2)= f(2-1)+3
f(2)=f(1)+3
An item is regularly priced at $55 it is now priced at a discount of 65% of the regular price
Answer:
$19.25
Step-by-step explanation:
Multiply 55 dollars by .65 to get the amount of money that is being dropped. 65% of 55 dollars is 35.75
Now subtract the original amount (55 dollars) by 35.75 dollars to get 19.25 dollars.
An easier way to do this is just by multiplying 55 dollars by the amount or percentage that is left so you multiply 55 by .35 and you will get the same answer.
the perimeter of a rectangle is 20cm. if the breadth of the rectangle is 2cm what is it's area
Answer:
perimeter =20cmbreadth=2cmlength=?we know that
perimeter =2*(l+b)
20=2*(l+2)
20=2l+4
2l=20-4
2l=16
l=16/2
l=8
miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following
Answer:
x = -10 or 2
Step-by-step explanation:
Answer this -
also can you answer faster kid?
Let's assume the triangle having sides as A, B & C, With an extended exterior side as D. (Refer the above attachement for better view!)
We know that the angles opposite to equal sides of a triangle are equal.
∴ AB = AC ⇒ ∠B = ∠C
Now, Side BA of Triangle ABC has been produced to D.
∴ ∠CAD = ∠B + ∠C (Exterior angle = sum of int. opp. angles)
⇒ 3x - 10 = 25 + x + 15
⇒ 3x - 10 = 40 + x
⇒ 3x - x = 40 + 10
⇒ 2x = 50
⇒ x = 50/2
⇒ x = 25
∴ The value of 'x' in the given figure is 25!
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄Please can I have help on this?
Answer:
9 :)
Step-by-step explanation:its 9
Find the slope of the line that passes through (7, 1) and (2, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-2/5
Step-by-step explanation:
slope equation is as follows -
(y1-y2)/(x1-x2)
now we just put (7,1) and (2,3) into the formula
(1-3)/(7-2)
-2/5
What are the terms in the following expression? Choose all that apply.
c + 4a + 2b + 7
Answer:
C, 4a, 2b and 7
Step-by-step explanation:
In Jackie’s math class, there are 51 students and one-third of the class is boys. How many girls are there in Jackie’s math class?
Answer:
34 boys
Step-by-step explanation:
you divide 51 by 3 which gets yOU 17 and then you subtract 17 by 51 which gets you 34
93 is what percent of 300
[tex]\sf \longmapsto \: \dfrac{93}{300} [/tex]
[tex]\sf \longmapsto \: \dfrac{93}{300} \times x[/tex]
[tex]\sf \longmapsto \: \dfrac{93}{300} \times 100[/tex]
[tex]\sf \longmapsto \cancel\dfrac{93}{300} \times \ \cancel\dfrac{100}{100}[/tex]
[tex]\sf \longmapsto \: \dfrac{31}{100} [/tex]
[tex]\sf \longmapsto \: 31\%[/tex]
Multiply as indicated. Write the product in standard form. An explanation is needed.
(2+i)^2
Answer:
2^2 + i^2 or 4 + i^2 (depending if the teacher wants it simplified or not)
Step-by-step explanation:
(2+i)^2
Basically just add the power to each number using the distributive property. 2 would go to 2^2 (which can be simplified to four) and i would go to i^2.
if a ll b and line c is perpendicular to line a then line b and c are?
Answer:
perpendicular
Step-by-step explanation:
Answer:
Perpendicular