Answer:
1 1/2
Step-by-step explanation:
3/2= 1 1/2
john is 2 years younger than his sister, annie. Last year, John was half Annie's age. How old are john and Annie now?
Answer:
John is 3 and Annie is 5 because to be half of someone's age while being to years younger it would have to be 2 and 4 - but then a year passed and so the are now 3 and 5.
Step-by-step explanation:
The present age of John is 3 years
The present age of Annie is 5 years
Given that John is 2 years younger than Annie's age
Let the present age of John be "J"
Let the present age of Annie be "A"
According to the given situation
[tex]\rm J = A -2........(1)\\[/tex]
One year ago the age of John = [tex]\rm J-1[/tex]
One year ago the age of Annie = [tex]\rm A -1[/tex]
According to the given situation
[tex]\rm\dfrac{A-1}{2}= J-1.........(2)[/tex]
On solving for equations (1) and (2) we get
A = 5 and J = 3
So the present age of Annie is 5 years
The present age of John is 3 Years
For more information please refer to the link given below
https://brainly.com/question/21835898
Helpppp!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?
What is the equation of the line that passes through the point (5,-2) and has a slope of -2/5?
Answer:
y= -2/5x -2
Step-by-step explanation:
y = mx + b
jxjxjxjxnxjddjdjdjdjj
In a seminar of 1200 people, 65 percent were women, How many men were in the seminar?
Answer:
420
Step-by-step explanation:
If there were 1200 people, and 65 percent were women, that means the rest of the crowd are men, which is 35 percent. By multiplying 35 percent by the overall population, 1200, (1200*35/100), you'll get 420 men.
Answer:
Step-by-step explanation:
The answer is 420
A worker has four different job offers, each with a contract for six years. Assuming the job descriptions are identical,
which offer will allow the worker to earn the most over six years?
O a starting salary of $49.000 with a 3% increase each year
O a starting salary of $51 000 with a 1% increase each year
O a starting salary of $48,000 with a 6% increase each year
a starting salary of $50,000 with a 2% increase each year
9514 1404 393
Answer:
$48,000 to start, with 6% raises
Step-by-step explanation:
The starting salaries are within a few percentage points of each other, so the majority of the difference in earnings will come because of the raises. The offer with the largest raise percentage is likely the best.
The earnings total can be figured as the sum of a geometric series with a first term of "starting salary" and a growth factor of (1+raise percentage). For starting salary 's' and raise percentage 'r', the total earnings in 6 years will be ...
S = s((1+r)^6 -1)/r
Here are the total earnings, in thousands, for each of the offers:
a) s = 49, r = .03, S = 316.95
b) s = 51, r = .01, S = 313.75
c) s = 48, r = .06, S = 334.82 . . . . best offer
d) s = 50, r = .02, S = 315.41
The worker can earn the most from a starting salary of $48,000 and 6% increases each year.
C) a starting salary of $48,000 with a 6% increase each year
hii guys happy chota dipawali
Answer:
yay thats so coolllllllll
Solve this system of equations, then determine what y equals.
x + 5y= 7
2x + 4y = -4
Answer:
y = 3.
Step-by-step explanation:
x + 5y = 7
x = 7 - 5y
Substitute x for 7 - 5y in the second equation.
2 ( 7 - 5y ) + 4y = -4
14 - 10y + 4y = -4
14 - 6y = -4
6y = 14 + 4
6y = 18
y = 3.
Hope this helped!
Answer:
y = 3
Step-by-step explanation:
x + 5y = 7
Subtract 5y from both sides;
x = -5y + 7
Substitute x into the equation;
2x + 4y = -4
2(-5y + 7) + 4y = -4
Distribute;
-10y + 14 + 4y = -4
-6y + 14 = -4
Subtract 14 from both sides;
-6y = -18
Divide both sides by -6
y = 3
Substitute y;
x + 5y = 7
x + 5(3) = 7
x + 15 = 7
Subtract 15 from both sides;
x = -8
write 0.00000000018 in a scientific notation
Answer:
[tex]1.8*10^{-10}[/tex]
Step-by-step explanation:
To find the number in scientific notation you want to find how many times you have to move the decimal to get the decimal to be right after the first non-zero number. If you move to the left the exponent is positive and if you move it to the right the exponent is negative. The answer would be [tex]1.8*10^{-10}[/tex].
Which of the following finds T given I, P and R
Answer:
D. T= I/PR
Step-by-step explanation:
PRT are multiplyed so you divide PR to get T by itself.
How do I get the fractional form for cos 4π/3?
Answer:
[tex] - \frac{1}{2} [/tex]
Step-by-step explanation:
cos
(
π
+
π
3
)
=
cos
π
⋅
cos
(
π
3
)
−
sin
π
⋅
sin
(
π
3
)
=
(
−
1
)
(
1
2
)
−
(
0
)
(
√
3
2
)
=
−
1
2
Please help me! Im making the first correct answer brainliest!
Answer:
The answer is most likely c.)
Step-by-step explanation:
It says that they sold 40 scarves and hats at the Winter Festival, but it never told us exactly how many hats total and how many scarves total that they sold. So we leave it as "s+h=40" Next we have the price of the scarves and hats, not the numbers sold. Since the scarves cost $18 and the hats cost $14, we know that a certain amount of each equals $700. Since we don't know the exact number of each that were sold, we leave it at "18s+14h=700." Sorry if you got a bit lost.
Pls answer 4 and 5 for brainly
Number 4 would be: C
And number 5 would be: C
Please Mark as Brainliest!!!
Answer:
Number 4 is c 1/6 and number 5 is also c
Step-by-step explanation:
I just divided 1 and 6 and got 0.1666
and did the same for the other one
pls mark brainliest
find the value of x that makes m||n
Answer:
x = 6
Step-by-step explanation:
In order for m to be parallel to n 16x - 6 would have to equal 90. We can demonstrate that using an equation.
16x - 6 = 90
Let's solve for x:
First add 6 to both sides to isolate the 16x:
16x - 6 + 6 = 90 + 6
16x = 96
Now divide both sides by 16 to isolate the x:
16x/16 = 96/16
x = 6
The value of x has to be 6 in order for m to be parallel to n.
Find the equation of the line through point (-2,-2)and parallel to 3x+4y=12
i need help on this please
After being exposed to an incredible shrinking machine, Halley's height decreased by 108 cm over 6 seco
by the same amount each second. How much did Halley's height change each second?
18 cm
B
108 cm
-18 cm
D
-108 cm
Answer:
it would be -18
Step-by-step explanation:
because you would divide 108 by 6 and you will get -18 each second
An exam worth 388 points contains 65 questions. Some questions are worth 4 points and the others are worth 8 points. How many 4 point questions are on the test?
Answer:
33 questions.
Step-by-step explanation:
Let x = 4 points questions.
Let y = 8 points questions.
Translating the word problem into an algebraic equation;
For the total number of questions;
[tex] x + y = 65[/tex] .........equation 1
For the total number of points;
[tex] 4x + 8y = 388[/tex] ..........equation 2
Given the following data;
Total number of questions = 65
Total number of points = 333
Solving the linear equation by using the substitution method;
Making x the subject in equation 1:
[tex] x = 65 - y[/tex] .......equation 3
Substituting "x" into equation 2;
[tex] 4(65 - y) + 8y = 388[/tex]
Simplifying the equation, we have;
[tex] 260 - 4y + 8y = 388[/tex]
[tex] 260 + 4y = 388[/tex]
Rearranging the equation, we have;
[tex] 4y = 388 - 260[/tex]
[tex] 4y = 128[/tex]
[tex] y = \frac {128}{4} [/tex]
y = 32 (For the 8 points question).
Substituting "y" into equation 3;
[tex] x = 65 - 32[/tex]
x = 33 (For the 4 points question).
Therefore, the number of 4 point questions on the test are 33 questions.
A. -2
B. -1/2
C. 1/2
D. 2
Liberty bought a make-your-own salad when she went out to lunch at a restaurant. The salad cost $4, plus $0.85 for each salad topping. Liberty spent $9.95 on the salad. Which equation can be used to find t, the number of toppings that Liberty ordered on her salad
I believe you answer would be $4 + $0.85t =$9.95
Answer:
7
Step-by-step explanation:
c = $0.85t+$4
$9.95 = $0.85t+$4
$9.95-$4 = $0.85t
$5.95 = $0.85t
$5.95/$0.85 = t
7 = t
Pythagorean theorem: Manuel purchases a rectangular picture
frame that has a diagonal measure of
17 inches and a height of 8 Inches. What is
the width of the picture frame?
Answer:
width = 15
Step-by-step explanation:
a² + b² = c² This the the formula
(PLUG IN)
8² + b² = 17²
64 + b² = 289 (subtract 64 on both sides)
b² = 225 (square root)
b = 15
Hope this helps ya!!
(50 points) Suppose the light pattern from a fog light can be modeled by the equation x^2/25 - y^2/9=1. One of the points on the graph of this equation is at (6, 3 sqrt 11/5), and one of the x-intercepts is -5. Which coordinate is not a point on the graph?
Answer:
Both points are on the graphStep-by-step explanation:
Given function
x^2/25 - y^2/9 = 1To find
Check if given points are on the graph (6, 3 sqrt 11/5) and (-5, 0)Solution
Verifying the points are on the line by substituting values of x and y:
1.............................
6^2/25 - (3√11/5)²/9 = 136/25 - 11/25 = 125/25 = 11 = 1Correct2.............................
(-5)^2/25 - 0^2/9 = 125/25 - 0 = 11- 0 = 11 = 1CorrectAnswer:
B
Step-by-step explanation:
Edge 2021
Taylor says ABCD and EFGH are congruent because he can map ABCD to EFGH by multiplying each side length by 1.5 and translating the result to coincide with EFGH. What is Taylor's error?
Answer:
The E came before H
Step-by-step explanation:
Find the slope of the line that passes through: (10. 1) and (5.2)
Answer:
1/-5 should be the answer
i'll mark you as brainliest
Answer:
y = x - 2
Step-by-step explanation:
.
A group of friends receives a dinner bill for $87.50. The sales tax rate is 5%. They want to leave a 15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?
Answer:
105 total
Step-by-step explanation:
Answer:
$105.66 is your answer.
4 Abi is going to buy ingredients to make 65 hot chocolate drinks.
She needs 12 g of chocolate powder and 5 marshmallows to make each drink
Abi can buy
chocolate powder in 250 g jars at £2.99 per jar
marshmallows in bags of 120 marshmallows at £1.45 per bag
Work out the total cost of the chocolate powder and the marshmallows she needs to buy.
Answer:
To make 65 chocolate drinks, she needs:
12 g of chocolate powder and 5 marshmallows per drink.
Then she needs:
12g*65 = 780 grams of chocolate powder.
We know that the chocolate powder comes in jars of 250g, such that each one costs £2.99
If she buys 3 jars, she will have: 3*250g = 750g
So she will not have enough, then she needs to buy 4 jars.
Then in chocolate powder, she will pay 4 times £2.99 = £11.96
And for marshmallows, she needs:
65*5 = 325 in total.
Marshmallows come in bags of 120, then the number of packs that Abi needs to buy is:
325/120 = 2.7
That should be rounded up (because she can not buy a 0.7 of a bag)
Then she needs 3 bags, and each bag costs £1.45
Then the total cost in marshmallows is 3*£1.45 = £4.35
PLEASE HELP MEH NOW!! I WILL MARK BRAINLIEST 1/8 divided by 5
Answer:
1/40 or .025
Step-by-step explanation:
Just flip the 5 then multiply instead of dividing.
[tex]\frac{1}{8}*\frac{1}{5}[/tex]
You turn 5 into 1/5 by flipping it.
When you multiply them you get.
[tex]\frac{1}{40}[/tex]
or
.025
Hope this helps! Have a blessed day!
18. George invests $5000 for 14 years at a rate of 2% per year compound interest. Calculate the interest he
receives. Give your answer correct to the nearest dollar.
Answer:
He will receive $1, 400 for interest
&
A total amount of $6, 400
Step-by-step explanation:
To find the interest, we must apply the following formula:
I = P × R × T
I represents interest
R represents rate
T represents time
P represents principle
Steps:
1. Change the rate, which is 2%, into a decimal.
2. Multiply the principle, which is 5,000, by the rate, which is 0.02.
3. Multiply the product of the principle and rate, which is 100, by the time, which is 14 years.
So he will receive $1, 400 interest.
To find the total amount he recieved, we must:
Add the principle, which is 5,000, and the current interest, which is 1, 400.
5,000 + 1,400= 6,400
He will receive a total of $6, 400
I hope this helps! I'm sorry if it's wrong.
If you understand similar figures you will get this because I don't
Answer:
I think its 3 but im not sure
Step-by-step explanation:
2x-1 you would do the opposite so you would add 1 to both sides. That would cancel the -1. Which leaves you with 3x
if a triangle has a side length of 10
12 and 15 what type of triangle is it