a = 66 points (first test)
b = 98 (second test)
Step-by-step explanation:Hi there !
a = first test
b = second test
a + b = 164
b = a + 32
replace b
a + (a + 32) = 164
2a = 164 - 32
2a = 132
a = 132 ; 2
a = 66 points (first test)
b = 66 + 32
b = 98 (second test)
Good luck !
area of a 18cm wide rectangle is 342 cm squared. what is the length?
Genevieve has $9000 to invest. She invests some at 6% annual interest and the rest at 4% annual interest. After one year, her total interest from both accounts is $444. How much did she invest in each account? (Clearly label which amount is for which account in your answer. Hint: Over a one year period, annual interest is the same as simple interest.)
Answer:
The first account, she invested = $4200 and in the second = $4800
Step-by-step explanation:
Let us assume that Genevieve invests $x at 6% ,
Hence, she invests ($9000 - $x ) at 4% ,
It's given that the combined interest from both of the above accounts is $444,
So,
0.06x + 0.04 (9000 - x) = 444
=> 0.06x + 360 - 0.04x = 444
=> (0.06x - 0.04x) + 360 = 444
=> 0.02x = 444 - 360
=> 0.02x = 84
=> x = 84/0.02
=> x = 8400/2 (By multiplying the denominator and numerator)
=> x = 4200
Therefore, 9000 - x = 9000 - 4200 = 4800
$4200 at 6% and $4800 at 4%
Therefore, the first account, she invested = $4200 and in the second = $4800
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
what’s 2x+y=4 in slope intercept form
Please everybody! Can you guys help me? This is super urgent!
Rae pays $48 for a 12-month magazine subscription. How much does Addison pay per month? Thank you!
Answer:
$4
Step-by-step explanation:
Divide $48 by 12
(Because there are 12 months in a year)
Your answer is $4
$48 divided along 12 months = $4
Hope I helped :)
Please consider Brainliest :)
Answer:
$4
To find the amount Rae pays each month, we have to divide 48 by 12 (because there are 12 months in a year.)
48 ÷ 12 = 4.
Answer = $4.
Hope this helps!
One day in July, the temperature at ground level at the airport was 90°. A pilot reported
the temperature at 10,000 feet was 50°. How much did the temperature drop per 1000
feet?
Answer:
it droped 40 degres
Step-by-step explanation:
Answer:
The temperature dropped 4 degrees per 1000 feet.
Step-by-step explanation:
90 - 50)/(10,000:1,000) = 40/10 = 4 degrees per 1000 ft
I need help because im not sure if im supposed to square it
[tex]2 \sqrt{x} = x - 3[/tex]
Step-by-step explanation:
[tex]2 \sqrt{x} = \: x - 3 [/tex]
[tex] ({ 2 \sqrt{x} )}^{2} = \: {x}^{2} - {3}^{2} [/tex]
[tex]4x = {x}^{2} - 9[/tex]
[tex] {x}^{2} - 4x - 9 = 0[/tex]
[tex]x = 5.60 \: and \: x = - 1.60[/tex]
Twice the sum of three and a number is 30. Find the number
9514 1404 393
Answer:
2(x +3) = 3012Step-by-step explanation:
When x represents the number, "the sum of 3 and a number" is (x+3). Twice that sum is 2(x+3). "Is 30" means this expression is equal to 30:
2(x +3) = 30 . . . . an equation for the given conditions
__
We can solve this equation by dividing by 2:
x + 3 = 15
x = 12 . . . . . . subtract 3
The number is 12.
3 less than one fourth of a number
Answer:
one fourth a number minus three
¼x-3
6x+2 -1 -48-3-2x+2
Helpppppppp
x=12
This the answer hope this helps
If you need the steps please feel free to contact me in the comments
someone please answer!
Answer:
m = -2
Step-by-step explanation:
To find the slope of a line, use the equation:
m = y2 - y1 / x2 - x1
Then, substitute in values:
m = 54 - 58 / 2 - 0
m = -4 / 2
m = -2
Answer:
c
Step-by-step explanation:
you need to count step by step
If the value of two integers differs by 3, and the product of the two integers is 108, what is the sum of the two integers?
A.21
B.19
C.25 D.23
Answer:
A
Step-by-step explanation:
Let the smallest number be n.
If the next integer differs by 3 then:
n + 3 is our second integer.
If the product is 108 then we would multiply them together.
n * (n + 3) = 108 Now solve for n.
(n*n) + (n*3) = 108
[tex]n^{2} +3n = 108[/tex] Now we move 108 to the other side by subtracting so we can factor.
[tex]n^{2} + 3n - 108 = 0[/tex]
(n )(n ) = 0
Find all the multiples of 108
1 x 108
2 x 54
3 x 36
4 x 27
6 x 18
9 x 12
Which one can we add or subtract together to get 3?
9 x 12 because 12 - 9 = 3
[tex]n^{2} + 3n - 108 = 0[/tex]
(n 12)(n 9) = 0 Now we figure out the signs. Since we have -108 one must be negative, and the 3 in the 2nd term (3n) is positive so:
(n + 12)(n - 9) = 0 Is our factored equation.
Our smallest number is 9, so n = 9
Our second number is n + 3 and 9 + 3 = 12
So our 2 integers are 9, 12, there sum would be 9 + 12 = 21
Option A.
To what subset(s) of the real numbers does the
number - 0.45 belong? Explain your answer.
Answer:
Integers, and rational, I know this because -0.45 is a negative number and because rational numbers include all categories.
Step-by-step explanation:
Plz help this is my last time to turn in everything and plz get the answer right!!
Its letter: H
Answer:
$37.05
Step-by-step explanation:
Katie bought a new dress for the winter
formal dance at school. She was able to find it
on sale for 40% off the original price. If she
paid $72 after the discount was applied, then
what was the original price of the dress?
Answer: it’s 120
Step-by-step explanation:
FIRST ONE TO AWNSER CORRECTLY GETS BRAINLEIST-1.8 + (2.1) Show your work
Answer:
0.3
Step-by-step explanation:
2.1
-1.8
---------
0.3
the triangular prism below has equilateral bases with sides of 4 in and a height of 4.5 in and rectangular sides measuring by 4 in by 7in what is the lateral surface area of the prism?
Answer:
quite not sure
Step-by-step explanation:
HELP ME SOLVE THE LAST ONE, IF THEYRE ALL WRONG CORRECT THEM, TYYYYYY
Answer:
they are right
Step-by-step explanation:
Answer:
you have the 4 and 7 backwards and the last one they r losing about .75 gallons hope this helps
Quadrilateral ARMY is rotated 90° about the origin.
Answer:
what's the question??
Classify the following triangle. Check all that apply.
Answer: A.) obtuse & F.) isosceles
Explanation:
Obtuse because the large angle is greater than 90°
isosceles because two of the sides are equal length
7 Henri Plans to sell cups of coffe at his school sports event
Henri has a hot water Container that holds 16 litres.
He needs about 200ml of hot water for each cup of coffee
a How many cups of coffee can he make from a full bottle of
water. Hens will charge 80 cents per cup of coffee he hopes
to sell 250 Cups of coffee
How
many
full Containers of water will he use.
How much mony will he make ?
Quantity of water with Henri = 16 litres
Quantify of water he will need for one cup of coffee = 200 ml
Number of cups of coffee he can make with a full cup of water :-
[tex] = 16 \: litres \: = 16000 \: ml[/tex]
[tex] = \frac{16000}{200} [/tex]
[tex] = 80 \: cups \: of \: coffee[/tex]
So , Henri can make 80 cups of coffee with one full bottle of water .
Quantity of water needed to make 80 cups of coffee = 16,000 ml
Quantity of water needed to make one cup of coffee :-
[tex] = \frac{16000}{80} [/tex]
[tex] = 200 \: ml[/tex]
So , 200 ml of water is needed to make one cup coffee .
Quantity of water he needs to make 250 cups of coffee :-
[tex] = 200 \times 250[/tex]
[tex] = 50000 \: ml[/tex]
So , Henri needs 50,000 ml of water to make 250 cups of coffee .
Number of water containers he will use :-
[tex] = \frac{50000}{16000} [/tex]
[tex] = 3.125 \\ = 3 \: water \: containers[/tex]
So , Henri will use 3 full water containers to make 250 cups of coffee .
Money charged per one coffee = 8 cents
Money charged for 250 coffees :-
[tex] = 250 \times 8[/tex]
[tex] = 2000 \: cents[/tex]
So , Henri will make 2000 cents if he sells 250 cups of coffee .
Therefore , Henri will use 3 full containers of water to make 250 cups of coffee and he he will make 2000 cents by selling 250 cups of coffee .
3. Find the slope of the graph.
101
a.
WIN
8
3
b.
2
-2
2
3
-10 -3 -6 -4 -2
24
6
8 10
2
3
d.
2
=6
-8
-10
Answer:
It's is 3/2
Step-by-step explanation:
since the line is going up, the rise/run is going to be positive
Teresa started a game at 6:25 PM and finished it at 7:41 PM.
How long did it take her? Give your answer in minutes.
Answer:
It took 1 hour and 16 minutes
Step-by-step explanation:
Evaluate
5
9
÷
5
18
jjijijij
kok
Answer:
i cant even see the words
Step-by-step explanation:
sorry i cant help
Find the distance between the two points in simplest radical form.
(1,5) and (-5,8)
What is the solution of -28=22-5x?
Answer:
10=x
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
Use Symbolab.com
What equation mathches this situation John had 10$. He spent x dollar now he has $3.20
Answer:
$6.80
Step-by-step explanation:
You would need to subtract $10-$3.20 to find out how much he spend and that is how you will get your total
Answer:
$6.80
Step-by-step explanation:
10-3.20
g In 2013, the Pew Research Foundation reported that 43% of U.S. adults report that they live with one or more chronic conditions. However, this value was based on a sample, so it may not be a perfect estimate for the population parameter of interest on its own. The study reported a standard error of about 1.7%, and a normal model may reasonably be used in this setting. Create a 95% confidence interval for the proportion of U.S. adults who live with one or more chronic conditions. Report your answer as a percentage rounded to 3 decimal places. We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between % and % Submit All Parts Question 6
Answer:
We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between 39.7% and 46.33%
Step-by-step explanation:
From the question we are told that
The sample proportion is [tex]\r p = 43\% = 0.43[/tex]
The standard error is [tex]SE = 0.017[/tex]
Given that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = (100-95)\%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]
=> [tex]E = 1.96 * 0.017[/tex]
=> [tex]E = 0.03332 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\r p -E < p < \r p +E[/tex]
=> [tex]0.43 -0.03332 < p < 0.43 + 0.03332[/tex]
=> [tex] 0.39668 < p < 0.46332[/tex]
Converting to percentage
[tex] (0.39668 * 100)< p < (0.46332*100)[/tex]
[tex] 39.7\% < p < 46.33 \%[/tex]
Find the midpoint of the segment having the given endpoints.
(8,4) and (-5,-9)
Answer:
-5.6
Step-by-step explanation:
0.42 - 4) = 0.24 + 7)
Answer:
im sorry if not but i think its 7.24
Step-by-step explanation:
help and explain if u can pls
Answer:
C 60
Step-by-step explanation:
This is because if you do 303+60=363 and then you do 363/11 you get 33. So x=60
60
Step-by-step explanation:Multiply both sides of the equation by 11:
303 + x =363
Move constant to the right side and change its sign:
x = 363 - 303
Then,subtract the numbers:
x = 60
