Answer:
The total interest of $320 will be the sum of the amount earned in each account.
Step-by-step explanation:
320 = x(0.04)(1) + (5000-x)(0.08)(1)
320 = 0.04x + 400 - 0.08x
-80 = -0.04x
2000 = x
5000 - x = 3000
$2,000 was invested at 4%
$3,000 was invested at 8%
Whats the answer and the steps
2(3x-4)
Answer:
-24
Step-by-step explanation:
2(3x-4)
6x-8
where does 0.5 goes on a real number line
Which fraction on number lin is equal to 3
Answer:
12/4
Step-by-step explanation:
12/4
= 3/1
= 3
So, 12/4 = 3
Use the distributive property to write an equivalent expression.
8(3v+3w-2)
Answer:
8(3v+3w-2)=(8×3v+8×3w-8×2)
Step-by-step explanation:
8×3v=24v.
8×3w=24w. [24v+24w-16]=(8×3v+8×3w-2×8)
8×(-2)=-16.
Sofia is driving to Texas. She travels at 70 kilometers per hour for 2 hours, and 63 kilometers per hours for 5 hours. Over 7 hours time period what was sofia's average speed ?
Answer:
65 kph
Step-by-step explanation:
There were a total of 7 hours. So two hours were at 70 and the other 5 hours at 63: the equation would be: (70+70+63+63+63+63+63)/7=65
Cupcakes Promotion All cupcakes at $2 each !
Buy 8 and get 1 free!
How many cupcakes will Fatimah get if she paid $80 during the promotion?
Answer:
45
Step-by-step explanation:
....................
Hey there! I'm happy to help!
We see that the cupcakes are $2, but for every 8 you buy you get 1 free.
So, if we buy 8 cupcakes, we will be paying $16, but we will actually be receiving 9 donuts, so that means that for every $16 we pay, we get 9 donuts.
Let's see how many times $16 goes into $80.
80/16=5
So, this means that our $16 that gives us 9 donuts was done 5 times, which totals up to 80 dollars. Let's multiply our donuts now.
9*5=45
So, Fatimah will get 45 donuts during the promotion.
Have a wonderful day and keep on learning! :D
Factoring binomials with the difference of squares
Answer:
Step-by-step explanation:
Acellus
Complete the data table for the function
f(x) = -x-2 + 2.
Х
-2
-3
-6
-11
Y
[?]
Enter
Answer:
x= -6 —> y= 4
x= -11 —> y= 5
Step-by-step explanation:
x= -6 —> y= 4
[tex]f( - 6) = \sqrt{ - ( - 6) - 2} + 2 \\ = \sqrt{6 - 2} + 2 \\ = \sqrt{4} + 2 \\ = 2 + 2 \\ = 4[/tex]
x= -11 —> y= 5
[tex]f( - 11) = \sqrt{ - ( - 11) - 2} + 2 \\ = \sqrt{11 - 2} + 2 \\ = \sqrt{9} + 2 \\ = 3 + 2 \\ = 5[/tex]
I hope I helped you^_^
The value of the function f(x) for the corresponding x = -6 and x =-11 is equal to 4 and 5 respectively.
The function f(x) = √( -x -2) + 2
The value of x and f(x) are ,
x : -2 -3 -6 -11
f(x) : 2 3 ? ?
Now to find the missing value of f(x) substitute the value of x in f(x) we have,
When x = -6
f(x) = √( -x -2) + 2
⇒ f(x) = √( -( -6) -2) + 2
⇒ f(x) = √(6) -2) + 2
⇒ f(x) = √(4) + 2
⇒ f(x) = 2 + 2
⇒ f(x) = 4
And when x = -11
f(x) = √( -x -2) + 2
⇒ f(x) = √( -( -11) -2) + 2
⇒ f(x) = √(11) -2) + 2
⇒ f(x) = √(9) + 2
⇒ f(x) = 3 + 2
⇒ f(x) = 5
Therefore, the missing values of the function are 4 and 5.
learn more about function here
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express each of the following in standard form 0.000000000221
Answer:
[tex]2.21 \times {10}^{ - 10} [/tex]
Step-by-step explanation:
When we shift (.) from left to right in scientific notarion, the power of 10 varies in negative numbers according to how many numbers we shift.
Barbara requires 2 gallons of paint to cover an area of 800 square feet. Identify the graph for the relationship from quantity to the area covered, and the parent function that best describes it. Then use the graph to estimate how many gallons of paint Barbara requires to paint an area of 2,400 square feet.
Answer:
6
Step-by-step explanation:
x = area to be painted
y = gallons of paint needed
we know already one point of that function/graph :
x = 800
y = 2
so, for a simple relationship between the 2 variables we can assume
y = ax
2 = a×800
a = 2/800 = 1/400
so, we get
y = (1/400) x
for 2400 ft²
y = 1/400 × 2400 = 1/4 × 24 = 24/4 = 6
she needs 6 gallons of paint for 2400 ft².
6 gallons of paint are required to cover 2400 ft² area.
Graph options aren't given ; however, we could still obtain the required solution using the information given :
2 gallons covers 800 ft²
Let the number of gallons to cover 2400 feets = x
Using cross multiplication :
2 gallons = 800 feets
x gallons = 2400 feets
Cross multiply :
800 × x = 2400 × 2
800x = 4800
Divide both sides by 800
x = 4800 / 8
x = 6
Hence, 6 gallons of paint are required to cover 2400 ft².
Learn more : https://brainly.com/question/18109354
Tell me both the numbers for the 2 boxes pls
Solve for (x,y,z)
x + 5y + 5z = -10
x + y +z= 2
x + 2y + 3z = -3
Answer:
(5, -1, -2)Step-by-step explanation:
Given system:
x + 5y + 5z = -10 x + y + z = 2 x + 2y + 3z = -3Eliminate one of the variables.
Subtract the second equation from the first and from the third equation:
x + 5y + 5z - x - y - z = -10 - 2 ⇒ 4y + 4z = -12 ⇒ y + z = -3x + 2y + 3z - x - y - z = -3 - 2 ⇒ y + 2z = -5Now subtract the first equation above from the second to solve for z:
y + 2z - y - z = -5 + 3z = -2Find y:
y + z = -3y - 2 = -3y = 2 - 3y = -1Now find x:
x + y + z = 2x - 1 - 2 = 2x - 3 = 2x = 2 + 3x = 5The solution is:
(5, -1, -2)Find the equation of the line that contains the point (1,-5) and has a slope that is undefined. Express the equation using either the general form or the slope-intercept form of the equation of a line.
The equation of the line is
Answer:
x=1
Step-by-step explanation:
Since the slope is undefined, it's of the form x=a and since it passes through (1,-5) the equation is x=1
The equation of the vertical line in slope-intercept form is: x = 1.
What is the Equation of a Vertical Line?A vertical line has an undefined slope and therefore has no y-intercept. the equation of a vertical line is therefore expressed as, x = a, where a is the x-intercept, which is the value of x of the point where the vertical line intersects the x-axis..
Given the point (1, -5), since the line has an undefined slope, the equation in slope-intercept form would be: x = 1.
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) Kim made $157.50
for 7 hours of
babysitting. What is
her hourly pay?
Answer:
$22.50 I believe...
Step-by-step explanation:
157.50 divided by 7
??
Answer:
$22.50 per hour
Step-by-step explanation:
157.50 = 7x
157.50 / 7 = 22.5
22.5/hour
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
How many different ways can you use the digits 3 and 5 to write
expressions in exponential form? What are the expressions?
Answer:
Therefore , Total no of ways to fill the 3-digits number is = 3*3*3 =27 . So, we can make 27 different 3-digits number using these numbers 1 ,5 ,7 by arranging them in 27 different waysStep-by-step explanation:
Part B
Can image 2 be the reflected figure? Explain your answer.
Answer:
Yes it can be be the reflected figure
Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and points***
Answer:
4900
Step-by-step explanation:
because it is square root of 70 and it means
sol?
square of 70 =70²=70×70=4900
Answer:
22. 30
prime factorization of 30
2 × 3 × 5
so there is no simplification needed here
23. 126
2 × 3 × 3 × 7
simplification
2 × [tex]3^{2}[/tex] × 7
24. 4900
2 ×2 × 5 × 5 × 7 ×7
simplification
[tex]2^{2}[/tex] × [tex]5^{2}[/tex] × [tex]7^{2}[/tex]
25. 39204
2 × 2 × 3 × 3 × 3 × 3 × 11 × 11
simplification
[tex]2^{2}[/tex] × [tex]3^{4}[/tex] × [tex]11^{2}[/tex]
26 .
Yes 4900 is a square number it's square root is 70
you can even cross-check
70 × 70
= 4900
and even 39204 is a square number it's square root is 198
you can even cross-check
198 × 198
= 39204
Hence 2 numbers 4900 and 39204 are square numbers
27 .
i. highest common factor of 30 and 126
factors of 30 are 2 × 3 × 5
factors of 126 are 2 × 3 × 3 × 7
now find common between them
common factors are 2 and 3
so multiply 2 and 3
2 × 3
= 6
6 is the highest common factor
ii. 126 and 39204
factors of 126 are 2 × 3 × 3 × 7
factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11
now find common between them
common factors are 2 × 3 × 3
= 18
18 is the highest common factor
28 .
1 . 126 and 4900
factors of 126 are 2 × 3 × 3 × 7
factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7
make the pairs of the numbers
2 ×2 × 5 × 5 × 3 × 3 × 7 ×7
= 44100 least common multiple
ii. 4900 and 39204
factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11
factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7
make the pairs of the numbers
2 ×2 × 3 x 3 x 3 x 3 x 5 x 5 x 7 x 7 x 11 x 11
= 48024900 least common multiple
I would like to know how to solve these sort of questions
Answer:
Step-by-step explanation:
10) First find the capacity of the swimming pool.
Volume of the swimming pool= length * depth *width
= 15 * 1.5 * 5
= 112.5 cubic meter
1 cubic meter= 1000 liters
112.5 cubic m = 112.5* 1000 = 112,500 liters
Quantity of salt added to every 10 000 liters = 2 Kg
Quantity of salt added to 112,500 liters = [tex]\dfrac{2}{10000}*112500[/tex]
= 22.5 Kg
Question : -4+12+(-7)
Answer:
1
Step-by-step explanation:
it just is
HHHHEEELPPPPPPPPPPRPOFE
Answer:
12.75
Step-by-step explanation:
Given the equations
x - y = 3.5 → (1)
[tex]\frac{x+y}{2}[/tex] = 11 ( multiply both sides by 2 to clear the fraction )
x + y = 22 → (2)
Add (1) and (2) term by term to eliminate y
2x + 0 = 25.5
2x = 25.5 ( divide both sides by 2 )
x = 12.75
Substitute x = 12.75 into (2)
12.75 + y = 22 ( subtract 12.75 from both sides )
y = 9.25
The 2 numbers are 12.75 and 9,25
With the larger number being 12.75
This is midpoint please help.
Step-by-step explanation:
[tex]thank \: you[/tex]
Answer:
(1, 13)
Step-by-step explanation:
it is above in the photo.
URGENT!!
1-84. Find the perimeter and area of each figure.
9.85 m
15 m
9 m
Answer:
total = 99m² + 39.4m²
= 148.4m²
how does the surface area of a cone change if the radius doubles?
how would you solve this algebraically?
Answer:
it changes because the radius has expanded
put the following equation of a line into slope intercept form simplifying all fractions 5x + 2y = -6
Answer:
The general equation of a slope-intercept form is as below;
[tex]y = mx + c[/tex]
m » slope / gradient
c » y - intercept
x » x - intercept
Since our equation is 5x + 2y = -6, make y the subject:
[tex]5x + 2y = - 6 [/tex]
subtract 5x from either sides:
[tex](5x + 2y) - 5x = - 6 - 5x \\ 2y = - 5x - 6[/tex]
apply the division rule of equality:
[tex] \frac{2y}{2} = \frac{ - 5x}{2} - \frac{6}{2} \\ \\ { \boxed{ \boxed{answer : \: y = - \frac{5}{2} x - 3}}}[/tex]
slope » -5/2
y - intetcept » -3
Evaluate this expression. − 4/5 − (− 2/5 ) + 4/7
A) − 22/35
B) − 3/5
C) 6/35
D) 2
Answer:
c) 6/35
Step-by-step explanation:
− 4/5 − (− 2/5 ) + 4/7
= − 4/5 + 2/5 + 4/7
= 6/35
Answer:
The choose C. 6/35
Step-by-step explanation:
[tex] - \frac{4}{5} + \frac{2}{5} + \frac{4}{7} \\ \frac{ - 28 + 14 + 20}{35} = \frac{6}{35} [/tex]
[tex]\sqrt{9x^2[/tex]
Answer:
3x
Step-by-step explanation:
[tex] \sqrt{9 {x}^{2} } [/tex]
[tex] \sqrt{9} \sqrt{ {x}^{2} } [/tex]
[tex] \sqrt{ {3}^{2} } \sqrt{ {x}^{2} } [/tex]
[tex] \sqrt{ {3}^{2} } x[/tex]
[tex] = 3x[/tex]
Carla bought a crate of red and green apples for her bakery. The crate had 140 red apples, which were 40% of the apples in the crate. How many apples were in the crate?
Answer:
350
Step-by-step explanation:
Do 140/0.4=350
Answer:
350 apples
Step-by-step explanation:
a = total number of apples in the crate
a* 40% = number of red apples
a * .40 = 140
Divide each side by .40
a * .40/.40 = 140/.40
a =350
3 attempts remaining.
150 moths lived in a lab. Each week, some moths died, and about 1/5 survived . How many moths were still alive after 2 weeks?
Please help me I’ll give a brainliest! Even if you are only able to do one of them it help because I don’t understand how to do it!!!
Answer:
The x which is not in the domain of the function is the root of the denominator
6) x+3=0, x=-3 is the x which is not in the domain of the function
7) |2x+5|=0, x=-5/2 is the x which is not in the domain of the function
8) x^2-16=0, x=±4 are the x which are not in the domain of the function
A roll of ribbon is 32 cm long. How many pieces 11 cm long can be cut from the roll?
