Answer:
The age of the person now is 16 years old
Step-by-step explanation:
Let us solve the question
Assume that the age of the person now is x years old
∵ The age of the person now is x years old
∵ His age 10 years ago = x - 10
∵ His age 10 years after = x + 10
∵ The product of his ages 10 years ago and 10 years after is 156
→ Multiply his ages before and after and equate the product by 156
∴ (x - 10)(x + 10) = 156
∵ (x - 10)(x + 10) = (x)(x) + (x)(10) + (-10)(x) + (-10)(10)
∴ (x - 10)(x + 10) = x² + 10x - 10x - 100
→ Add the like terms
∴ (x - 10)(x + 10) = x² + (10x - 10x) - 100
∴ (x - 10)(x + 10) = x² - 100
→ Substitute it in the equation above
∵ x² - 100 = 156
→ Add 100 to both sides
∴ x² - 100 + 100 = 156 + 100
∴ x² = 256
→ Take √ for both sides
∴ √x² = √256
∴ x = 16
∵ x represents his age now
∴ The age of the person now is 16 years old
HURRY
Which is the largest ratio?
StartFraction 5 Over 36 EndFraction, 2:9, 3 to 18, 1:3
StartFraction 5 Over 36 EndFraction
Image with alt text: StartFraction 5 Over 36 EndFraction
2:9
2:9
3 to 18
3 to 18
1:3
1:3
Answer:
D: 1:3
Step-by-step explanation:
I took the test and got it right
Washington High School has a total of 625 students. There are 250 girls in the school. What is the ratio of girls to boys at Washington High School?
A) 2:3
B) 2:5
C) 3.1
D) 3.2
Answer:
B)
Step-by-step explanation:
625:250=2.5
so i think it is B
Answer:
A 2:3
Step-by-step explanation:
625-250= 375 which is the number of boys in the school now it's 375 and 250
250:375
= 250/375
Dividing by 5/5, we have,
50/75
Again, Dividing by 5/5, we have,
10/15
Again, Dividing by 5, we have,
2/3
Hence, the ratio 250:375 in the simplest form will be 2:3
You earn $60 for mowing 5 lawns. How much do you earn for mowing 15 lawns ?
for 15 lawns
Answer:
It is $180
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
Help please lol anyoneeee
Which is the smallest?
a. -30
b. 3
c. 0
d -1
Answer:
-30..................
A mechanic charges $43 per hour for labor and $217 for parts. The total bill is $432. How
many hours did the mechanic work?
Answer:
5 hours
Step-by-step explanation:
217+43+43+43+43+43=432
Hosea borrowed $20,000 to buy a new speed boat. The interest rate on his loan is 5%. If he plans to pay the loan back in three years, how much interest will he pay? What will be the total cost that he will owe including interest?
Answer:
a. Interest amount is $3,000.
b. Total cost is $23,000.
Step-by-step explanation:
a. How much interest will he pay
This can be calculated as follows:
Interest amount = Principal loan Amount * Interest rate * Number of years ........ (1)
Where;
Principal loan Amount = $20,000
Interest rate = 5%
Number of years = 3
Substituting the values into equation (1), we have:
Interest amount = $20,000 * 5% * 3 = $3,000
b. What will be the total cost that he will owe including interest?
Total cost = Principal loan Amount + Interest amount = $20,000 + $3,000 = $23,000
solve the linear equation 1/5(10x-20)=x-3
Answer:
x=1
Step-by-step explanation:
1/5(10x-20)=x-3
2x-4=x-3
2x-x=4-3
x=1
Answer:
The value of x is 1 after solving the linear equation.
Step-by-step explanation:
Given equation is:
[tex]\frac{1}{5}(10x-20)=x-3[/tex]
We will solve the equation by simplifying first.
[tex]\frac{1}{5}*10x-\frac{1}{5}*{20}=x-3\\2x-4=x-3[/tex]
Now, we will subtract x from both sides of the equation,
2x-x-4 = x-x-3
x-4 = -3
Next, we will add 4 on the both sides of the equation,
x-4+4 = -3+4
x = 1
Hence,
The value of x is 1 after solving the linear equation.
Aiden shaded numbers in the addition table. Which statement tells what the
shaded numbers show?
+
0
1
2
3
4
5
0
0
1
2
3
4
5
1
1
2
3
4
5
6
2
2
4
5
6
7
3
3
U A w
5
6
7
8
4
4
6
7
8
9
5
5
6
7
8
9 10
15)
The sum of an odd number and an
even number is an odd number.
The sum of an odd number and an
even number is an even number.
The sum of two even numbers is an
even number.
The sum of two odd numbers is an
even number.
The statement that tells what the shaded numbers show is (d) The sum of two odd numbers is an even number.
How to interpret the shaded numbers?From the figure, we can see that the shaded numbers are even numbers.
While the row and column number of the shaded numbers are odd numbers
This means that two odd numbers add up to an even number
Hence, the statement that tells what the shaded numbers show is (d)
Read more about numbers at:
https://brainly.com/question/251701
#SPJ2
-X + 5 + 3x = 4 + 2x + 1
Answer;
its answer is 0.
Step-by-step explanation:
-X+5+3X=4+2X+1=-X+3X-2X+5-4-1=-3X+3X+5-5=cut -3X+3Xand +5-5=answer is 0Complete the conversion
4.5 T = ____ Ib
Answer:
9920.8
Step-by-step explanation:
I DID MY MATH! YAY!
Answer:
9,000 lbs
Step-by-step explanation:
What are 4 activities you would like to do when it’s warm/hot outside?
What are 3 activities you like to do when it’s cold outside?
Which would you rather have, 7 months of cold or hot weather?
Answer:
1. swimming, playing soccer, walking, running
2. skiing, walking, ?
3. hot weather
What is the answer please I need emergency help I will mark you as brainlist ✨
Answer:
A. 3.7, because |3.7| = 3.7
Step-by-step explanation:
What the question is referring her by magnitude is units away from 0. 3.7 is 3.7 units away from 0, which is the same thing as the absolute value of 3.7. And since absolute value is always positive, C is already out. D is also out as the value doesn't change. B's reason contradicts the answer, so it is also wrong. This leaves A (3.7, because |3.7| = 3.7) as our answer.
Hi so i have a test tmmr about proportional relationship can anyone help me by chance at 1:40
1) Find the fourth angle.
X
93°
89°
please helppp
-3x + 4 > 25 explain the steps needed to solve the inequality.
Answer:
x < - 7
Step-by-step explanation:
Given
- 3x + 4 > 25 ( subtract 4 from both sides )
- 3x > 21
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.
x < - 7
Morgan is trying to complete the square. What number should she put in the blank?
A) -9
B) 18
C) 81
D) -81
Answer:
C. 81
Step-by-step explanation:
x^2-18x+81
(x-9)(x-9)
Explain how to do this
Answer:
90°
Step-by-step explanation:
Since, all sides of the given quadrilateral are equal. Therefore it is rhombus.
Diagonals of a rhombus bisects at right angles.
So, x = 90°
A department store buys 200 shirts at a cost of $1,600 and sells them at a selling price of $10 each. Find the percent markup.
Answer:
160%
Step-by-step explanation:
12
13
13
14
10.954
Find volume
Answer:
311005.968^2
im pretty sure that is it
please help me please will give brainliest to anyone
Answer:C
Step-by-step explanation:
Answer:
Its A
Step-by-step explanation:
What is the equation of the following are you sure to scroll down first to see all answer options
Answer:
Y=-3x+0 or Y=-3x
Step-by-step explanation:
Y=mx+b
m=slope
b=y-intercept (where the line crosses the y axis)
The line crosses the Y axis at (0,0), so:
Y=mx+0 or
Y=mx
Slope:
Rise/run= Change in y/Change is x= 9/-3=-3
So:
Y=-3x+0 or
Y=-3x
Answer: 3x + y = 0
Step-by-step explanation: Remember that slope is represented by
rise over run from one point to the next on our graph.
To get from the point (0, 0) to (3, -9), we go down -9 units
so our rise is -9 and we run 3 units so our run is 3.
Our slope therefore or m = -9/3 or -3.
Our y-intercept is represented by the point where this line
crosses the y-axis which in this case is up 0 units.
So our y-intercept or b = 0.
Since we have the slope and y-intercept of our line,
we can now write its equation in y = mx + b form.
Since m = -3 and b = 0, that gives us y =-3x + 0.
Now we convert this equation to standard form.
Just add 3x to both sides to get 3x + y = 0.
So the equation of this lie is 3x + y = 0.
Lara makes birdseed by mixing peanuts and sunflower seeds in a 2:3 ratio. The peanuts costs 3p per 10g and the sunflower seeds cost 9p per 10g. Lara sells the birdseed £1 per 100g portion.
How much profit does Lara make on each portion? Give your answer in pence.
Step by step explanation plssss tqsm.
Answer:
Lara will do a profit of 34 pence by 100 grams of birdseed.
Step-by-step explanation:
The given ratio means that there are 2 grams of peanuts and 3 grams of sunflower per each 5 grams of birdseed. Now, we obtain the amount required of peanuts and sunflower for 100 grams of birdseed by simple rule of three:
Peanuts
[tex]x = \frac{100\,g}{5\,g}\times 2\,g[/tex]
[tex]x = 40\,g[/tex]
Sunflower
[tex]y = \frac{100\,g}{5\,g}\times 3\,g[/tex]
[tex]y = 60\,g[/tex]
If we know that 10 grams of sunflower cost 9 pence and 10 grams of sunflower cost 3 pence, then the total cost of production of 100 grams portion:
[tex]C = \left(\frac{0.03\,GBP}{10\,g} \right)\cdot (40\,g)+\left(\frac{0.09\,GBP}{10\,g} \right)\cdot (60\,g)[/tex]
[tex]C = 0.66\,GBP[/tex]
And the profit done by Lara is:
[tex]\Delta C = 1\,GBP - 0.66\,GBP[/tex]
[tex]\Delta C = 0.34\,GBP[/tex]
Lara will do a profit of 34 pence by 100 grams of birdseed.
h e l p please. can't solve
Answer:
[tex] \frac{1}{2} 3 \\ [/tex]
Step-by-step explanation:
Your welcome
help i will brain list
3 + 15 ÷ 3 × 5 – 2
please answer this im to lazy
In the trapezoid below, x = [ ? ].
2x+6
I
5x=20
4r+2
Answer:
x = 12
Step-by-step explanation:
To get the value of x, we use the mid-segment theorem of trapezoid
The theorem is that the mid-segment is half the sum of the other two segments
We have this as
;
5x - 20 = 1/2(2x + 6 + 4x + 2)
2(5x-20) = 6x + 8
5x -20 = 3x + 4
5x -3x = 4 + 20
2x = 24
x = 24/2
x = 12
Hunter invested $750 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 % compounded continuously. London invested $750 in an account paying an interest rate of 6\tfrac{1}{2}6 2 1 % compounded daily. After 18 years, how much more money would Hunter have in his account than London, to the nearest dollar?
Answer: $ 55
Step-by-step explanation:
When interest is compounded continuously, the final amount will be
[tex]A=Pe^{rt}[/tex]
When interest is compounded daily, the final amount will be
[tex]A=P(1+\dfrac{r}{365})^{365t}[/tex]
, where P= Principal , r = rate of interest , t = time
For Hunter , P= $750, r = [tex]6\dfrac{5}{8}\%=\dfrac{53}{8}\%=\dfrac{53}{800}=0.06625[/tex]
t = 18 years
[tex]A=750e^{0.06625(18)}=\$2471.48[/tex]
For London , P= $750, r = [tex]6\dfrac{1}{2}\%=\dfrac{13}{2}\%=\neq \dfrac{13}{200}=0.065[/tex]
t = 18 years
[tex]A=750(1+\dfrac{0.065}{365})^{18(365)}=\$2416.24[/tex]
Difference = $ 2471.48 - $ 2416.24 =$ 55.24≈$ 55
Hence, Hunter would have $ 55 more than London in his account .
Help!!!! Please and thanks
Answer: 9x=-7
Explanation:
6x+3x=9x
2y+-2y=0
-2+-5=-7
HELP PLEASE
In ΔPQR, = 36 cm, = 21 cm and =17 cm. Find the measure of ∠Q Round to the nearest tenth
Answer:
Step-by-step explanation: