Answer:
The answer is 11.6 cm
Step-by-step explanation:
The equation of a right triangle is a^2+b^2=c^2 (a and b being its legs and c its hypothenuse.)
Now we must input 16 cm into c and 11 cm into either a or b.
a^2+11^2=16^2 which is equal to a^2+121=256.
subtract 121 from both sides to get a^2 by itself
a^2+(121-121)=(256-121)
a^2=135
to get "a" by itself, we must find the square root of 135.
√a^2=√135
a=11.6
If 4 notebooks and 3 packages of pens cost $7.43 and 5 notebooks and 2 packages of pens cost $7.03, what is the price of 1 notebook?
A) $0.89
B) $0.79
C) $1.29
D) $1.09
5(4x + 3y) = $7.43 × 5
or, 20x + 15y = $37.15 ...(3)
Multiply equation (2) with 4, we get4(5x + 2y) = $7.03 × 4
or, 20x + 8y = $28.12 ...(4)
Subtract (4) from (3), we have20x + 15y-(20x + 8y) = $37.15 - $28.12
or, 7y = $9.03
or, y = $1.29
4x + 3y = $7.43or, 4x + 3($1.29) = $7.43
or, 4x + $3.87 = $7.43
or, 4x = $7.43 - $3.87
or, 4x = $3.56
or, x = $0.89
Answer:
A) $0.89
Hope you could get an idea from here.
Doubt clarification - use comment section.
pls answer quickly
This Histogram shows the heights in inches of members of a middle school volleyball team.
How many members are between 50 and 70 inches tall?
A. 12
B. 10
C. 6
D. 4
Answer:
B. 10
Step-by-step explanation:
Look at the chart.
Find how many members are 50-60 inches tall. (6)
Find how many members are 61-70 inches tall. (4)
Add each member count up. (10)
6 out of every students in a school watched FIFA world cup final match on TV. What is the ratio of the number of students who watched the final match to those who did not?
A. 6:4
B. 6:10
C. 6:16
D. 4:10
PLS ANSWER ASAP!!! ILL MARK U BRAINLIEST!!!♡♡♡
Answer:
6:16
Step-by-step explanation:
plz mark as brain lst and like
Two complementary angles are in the ratio 3: 2. The number of degrees in the smaller angle is
A. 18 B. 36 C. 54 D. 72
Answer:
Option B is the correct answer
Step-by-step explanation:
Complimentary angles mean sum of angles is [tex]90^{0}[/tex]
Let the smaller angle be [tex]x[/tex]
Other angle is [tex]90-x[/tex]
We have
Two complementary angles are in the ratio [tex]3: 2[/tex]
[tex]\frac{90-x}{x} =\frac{3}{2} \\\\180-2x=3x\\\\5x=180\\\\x=36[/tex]
Smaller angle is [tex]36^0[/tex]
Option B is the correct answer
You have two different savings accounts. For account A, the interest earned after 18 months is $12. If the interest rate is 3.2% for account A, how much is the principal? Give the equation and solution you used to solve this problem.
Answer:
P = $250
Step-by-step explanation:
Interest (I) = Principal (P) x Interest Rate (r) x Time (t, in years)
I = Prt
12 = P(.032)(1.5)
12 = .048P
12/.048 = P
P = 250
2 2/5 - 1 1/3 + 3 1/2
Answer: 4 17/30
Step-by-step explanation:
2 2/5 - 1 1/3 + 3 1/2
(2 12/30 - 1 10/30) + 3 15/30
1 2/30 + 3 15/30 = 4 17/30
Have a nice day, and if you could be so nice as to give me a brainliest
What is the approximate value of q in the equation below? q log Subscript 2 Baseline 6 = 2 q 2 â€""1. 613 â€""1. 522 0. 585 3. 79.
The approximate value of q in the equation is [tex]0.774[/tex]
The equation is given as:
[tex]q\log_2(6) = 2[/tex]
Divide both sides of the equation by [tex]\log_2(6)[/tex].
So, we have:
[tex]q= \frac{2}{\log_2(6) }[/tex]
Determine log(6) base 2
[tex]q= \frac{2}{2.585}[/tex]
Divide 2 by 2.585
[tex]q= 0.774[/tex]
Hence, the approximate value of q in the equation is [tex]0.774[/tex]
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Hey guys, i need help on this one, thanks in advance.
Find the slope of the equation:
x - 5 = 3 ( y + 4 ) -2y + 1
if you could add step's please do.
Answer:
slope = 1
Step-by-step explanation:
1) expand those brackets on the left side my multiplying
x - 5 = 3y + 12 - 2y + 1
2) simplify by collecting like terms
x - 5 = y + 13
3) bring -5 to the right side by adding 5
x = y + 18
4) let's rearrange this equation in the form y = mx + c where m is the gradient (slope) and c is the y intercept. by subtracting 18 on both sides
y = (1)x - 18 (there is a 1 in front of the x, but we don't write it like that. m is 1)
y = x - 18
the slope is the gradient, which is 1
Solve the equation.
2x - 3 + 4x = 21
O x= -12
O x= -6
O x= 4
O x= 6
someone please help me! the question is 18.
154 sq. cm is the area of a circle
so find its radius
[tex]\pi =\frac{22}{7}[/tex]
Answer:
r = 7 cm
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( where r is the radius )
Given A = 154 , then
πr² = 154 , that is
[tex]\frac{22}{7}[/tex] r² = 154 ( multiply both sides by 7 to clear the fraction )
22r² = 1078 ( divide both sides by 22 )
r² = 49 ( take square root of both sides )
r = [tex]\sqrt{49}[/tex] = 7 cm
3(2/3p+3-1/3p-5) What is the simplified version of this equation.
Answer: p+1
Step-by-step explanation:
3(2/3p+3-1/3p)
=3(1/3p+3)
=p+1
Solve for the value of R.
SOMEONE PLEASE HELP ILL GIVE YOU POINTS AND BRAINLIST ANSWER !!!
Step-by-step explanation:
[tex](3r + 4) + (8r - 2) = 90[/tex]
[tex]3r + 4 + 8r - 2= 90[/tex]
[tex]11r = 88[/tex]
[tex]r = \frac{88}{11} \\ [/tex]
[tex]r = 8[/tex]
Pls help will give brainly
Answer:
y = - 2x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line
m = [tex]\frac{-8-4}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2
The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4
y = - 2x - 4 ← equation of line
which is the better deal $2.98 for 2 liters of soda or $7.40 for 5 liters? find the unit price of the better deal on the coloring sheet.
Answer:
7.40 for 5 liters
Step-by-step explanation:
2.98/2= 1.49
7.40/5= 1.48
Hope this Helps :)
Can u mark me the brainliest
In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday. This is an increase on the average of `8.1` hours per workday in 2014. What is the percent change from 2014 to 2019? Round to the nearest tenth of a percent.
Answer 2019 /0.0047 /2014/ 0.493
Step-by-step explanation:
The percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.
What is Percent Change?A percentage is a portion of a whole that is stated as a number between 0 and 100 as opposed to being expressed as a fraction.
The percentages of everything are 100%, nothing is 0%, 50% of something is 50%, and nothing is 0%.
Given:
In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday.
This is an increase on the average of `8.1` hours per workday in 2014.
So, Percent change = (Final value - initial value) / initial value x 100
Percent change = 8.5 - 8.1 / 8.1 x 100
Percent change = 4.93%
Thus, the percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.
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Write the linear equation into Standard Form. 8+3x=-9y
Hello! :p
Original: 8+3x=-9y
standard form: 3x + 9y = -8
I hope this helps! Have a wonderful day! :)
How many degrees in 0.375
of a full turn?
Answer:
135°
Step-by-step explanation:
A full turn is 360°, so 0.375 of a full turn is ...
0.375 × 360° = 135° . . . . degrees in 3/8 turn
!!!!!!!!!!!!!!!100100100100100pts!!!!!!!!!!!!!!!!!!!!!!!!!!
Which is a better deal: A can of 3 tennis balls for $3 or a box of 10 balls for $9?
Answer:
10 for 9$
Step-by-step explanation:
because say the each ball cpsts a dollar, and the total for 3 would be 3$ for the cost of 10 would be 9 so its less but more mo ey spent
The rainfall recorded in a certain city is given below. Calculate the average rainfall. 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm and 4.34 cm.
if you answer then i will mark you brainliest!!!
Answer:
3.4 cm
Step-by-step explanation:
average is the sum of all the values then divided by the number of values.
The average rainfall for the given values is 3.40 cm while The rainfall recorded in a certain city.
The average rainfall can be calculated by adding up all the recorded rainfall values and then dividing the sum by the number of values.
Let's calculate the average rainfall for the given values: 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm, and 4.34 cm.
Step 1: Add up all the values: 2.54 cm + 1.75 cm + 3.05 cm + 5.00 cm + 3.72 cm + 4.34 cm = 20.40 cm
Step 2: Divide the sum by the number of values (which is 6 in this case): 20.40 cm / 6 = 3.40 cm
Therefore, the average rainfall for the given values is 3.40 cm.
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what is the equation?
Answer:
y=3x+1
Step-by-step explanation:
To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is
y = mx+b
In this case in figure 2 we see that there are 4 blocks, in figure 3 we see there are now 7 blocks.
7 - 4 = 3.
If we try again and see figure 3 has 7 blocks and figure 4 has 10 blocks we can do this to double check.
10 - 7 = 3. (This now verifies our rate of change to be 3)
We now see that the rate of change or slope (same thing) is 3 or put into the equation (3x).
Off this information we can also predict the original value of figure 1 (the figure we must calculate ourselves to create the equation).
Simply take figure 2 (4 blocks) and subtract by the rate of change which is (3 blocks) to get figure 1 which will be 1 block.
With all this information we can create the equation with the information we now have.
y = mx+b
y = what you are calculating for
m = 3
x = (the value you fill in when you are calculating for x) [we are not filling this in for this question so you will leave it as simply x]
b = 1 (the constant / y intercept / or simply put as the value we solved when calculating figure 1)
Final Result = [ y = 3x + 1]
Lucia brought 13 2/5 pitchers of juice to a volleyball game, and the players drank 5 4/5
pitchers of it. How much juice is left?
Write your answer as a fraction or as a whole or mixed number.
Answer:
7 3/5 or 38/5
Step-by-step explanation:
13 2/5 - 5 4/5 = 38/5 = 7 3/5
A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories.
(a) Determine how many calories 6 brownies would have.
(c) Determine how many calories 14 brownies would have. Round to the nearest calorie.
(b) Determine how many calories 21 brownies would have.
(d) If c represents the number of calories and b represents the number of brownies, write a proportional relationship involving c and b and solve it for c.
(e) Graph the proportional relationship you found
in part (d) on the grid shown. 300
200 100
(f) Using the graph, what is the smallest whole number of brownies a person would need to eat in order to consume 125 calories? Illustrate on your graph.
(g) Algebraicallydeterminethenumberofbrownies a person would need to eat in order to consume 300 calories.
Answer:
Step-by-step explanation:
R
The number of calories in 14 brownies is 233 calories.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories.
The first step is to determine the average calorie in 1 brownie.
Average calorie = 50 calories / 3 = 16.667 calories
In order to determine the number of calories in 14 brownies, multiply the average calorie by 14 brownies.
Total calories = 16.67 x 14 = 233 calories
Hence, The number of calories in 14 brownies is 233 calories.
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can someone help me with this
x = 0 ⇒ (0⁵ + 32) = (0 + 2)⁵ ⇒ 32 = 32
x = -2 ⇒ [(-2)⁵ + 32] = (-2+2)⁵ ⇒ 0 = 0
So: (x⁵ + 32) = (x - 2)⁵ if x = -2 or x = 0
Ok done. Thank to me :>
Can someone pls help me with this!!
Answer:
(-8,7)
(4,3)
(16,-1)
Step-by-step explanation:
I feel as though there is a formula for this but I cannot remember at the moment so I am gonna do it the long way!
2(-8) + 6(7) =26
-16 + 42 + 26
26 = 26 Yes
____________
2(-1) + 6(4) =26
-2 + 24 =26
22 = 26 No
____________
2(2) + 6(5) =26
4+30 = 26
34 =26 No
____________
2(4) + 6(3) =26
8+18
26 = 26 Yes
____________
2(16) +6(-1) =26
32 + (-6)
26=26 Yes
____________
Hope this helps!!
Please correct me on any mistakes I enjoy learning from them:)
Please solve this problem please ASAP !
Is that correct? I don’t think it is, can someone tell me the answer
It is right but what's the full question
Hannah makes $46,675 per year, how much will she make each paycheck if she is paid
weekly?
Answer: $897.6
Step-by-step explanation: 46,675 a year, 52 weeks in a year. 46,675/52=897.6
Solve the system of linear equations by substitution: (SHOW UR WORK)
y=5x-6
y=4x-2
Answer:
x = 4
y = 2
Step-by-step explanation:
1) y = 5x - 6
2) y = 4x - 2
sub 1 into 2
5x - 6 = 4x - 2
5x - 4x = 6 - 2
x = 4 ---> (3)
sub 3 into 2
y = (4 * 1) - 2
y = 4 - 2
y = 2
Answer:
4
Step-by-step explanation:
Since they both equal y, they are both equivinlent
[tex]5x-6=4x-2[/tex]
[tex]5x=4x+4[/tex]
[tex]x=4[/tex]
CHECK
[tex]20-6=16-2[/tex]
[tex]14=14[/tex]