Solution:
Given that,
One of the acute angles in a right triangle has a measure of 34.6°
The sum of the three angles of a triangle is always 180 degrees.
Also, that the measure of a right angle is always 90 degrees
Let "x" be the other acute angle
Therefore,
x + 90 + 34.6 = 180
x + 124.6 = 180
x = 180 - 124.6
x = 55.4
Thus the measure of other acute angle is 55.4 degrees
Answer:
Yes, what the other person said
Step-by-step explanation: basically you subtract 90.0 - 34.6
Edith babysits for x hours a week after school at a job that pays $4 an hour. She has accepted a
job that pays $8 an hour as a library assistant working y hours a week. She will work both jobs.
She is able to work no more than 15 hours a week, due to school commitments. Edith wants to
earn at least $80 a week, working a combination of both jobs.
Write a system of inequalities that can be used to represent the situation.
Graph these inequalities on the set of axes.
Determine and state one combination of hours that will allow Edith to earn at least $80 per week
while working no more than 15 hours.
Answer:
Part A) The system of inequalities are
[tex]x+y\leq 15[/tex]
[tex]4x+8y\geq 80[/tex]
Part B) The graph in the attached figure
Part C) see the explanation
Step-by-step explanation:
Part A) Write a system of inequalities that can be used to represent the situation.
Let
x ----> the number of hours worked as a babysitter
y ----> the number of hours worked as a library assistant
we know that
She is able to work no more than 15 hours a week
so
[tex]x+y\leq 15[/tex] -----> inequality A
Edith wants to earn at least $80 a week
The word "at least" means " greater than or equal to"
so
[tex]4x+8y\geq 80[/tex] ----> inequality B
Part B) Graph these inequalities on the set of axes.
Using a graphing tool
The solution of the system is the triangular shaded area in the attached figure
Part C) Determine and state one combination of hours that will allow Edith to earn at least $80 per week while working no more than 15 hours
we know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities. (The ordered pair lie in the shaded area of the solution set)
Looking at the graph
The ordered pair (4,9) lie in the shaded area
Verify if the ordered pair satisfy both inequalities
Inequality A
[tex]4+9\leq 15[/tex]
[tex]13\leq 15[/tex] ---> is true
so
The ordered pair satisfy the inequality A
Inequality B
[tex]4(4)+8(9)\geq 80[/tex]
[tex]88\geq 80[/tex] --> is true
so
The ordered pair satisfy the inequality B
therefore
The ordered pair is a solution of the system
(4,9)
That means
The number of hours worked as a babysitter in a week is 4 and the number of hours worked as a library assistant in a week is 9
Edith can babysit for 5 hours and then work for 10 hours as the library assistant in a week so as to earn at least $80 a week
InequalityAn inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let x represent the number of hours at the $4 job and y represent the number of hours at the $8 job, hence:
x + y ≤ 15 (1)
Also:
4x + 8y ≥ 80 (2)
Graphing the inequality, the solution is at:
(5, 10)
Edith can babysit for 5 hours and then work for 10 hours as the library assistant in a week so as to earn at least $80 a week
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What is the ratio of blue shapes to all shapes in the set below?
2 blue triangles, 1 blue circle, and 2 blue squares. 1 orange square, 2 orange circles, and 1 orange triangle.
4:9
5:9
4:5
5:4
Answer:
[tex]ratio=\frac{5}{9}[/tex]
Step-by-step explanation:
Let
x ----> the number of blue shapes in the set
y ----> all shapes in the set
we know that
To find out the ratio of blue shapes to all shapes in the set , divide the number of blue shapes in the set by the number of all shapes in the set
we have
[tex]x=5\\y=9[/tex]
therefore
The ratio is equal to
[tex]ratio=\frac{x}{y}[/tex]
substitute
[tex]ratio=\frac{5}{9}[/tex]
Answer: It would be letter B (5:9)
Step-by-step explanation:
which expression is equivalent to -3.4+(-y)- -5/8?
Answer:
- 2.775 - y
Step-by-step explanation:
-3.4+(-y)- -5/8
Note: (1) + × - = -
2) - × - = +
3) - × + = -
Therefore
-3.4+(-y)- -5/8
= -3.4 - y + 5/8
-3.4 - y + 0.625
Collect like terms
0.625 - 3.4 - y
= - 2.775 - y
I hope this was helpful, please mark as brainliest
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x-4
h(x) = x
h(x) = 2x
ANSWER IS D HOPE IT HELPS
Brett has 100 feet of fence with which to
make a rectangular cage for his dog. The
area of the cage in square feet is given
by the polynomial -W + 50w, where wis
the width of the cage in feet. What is the
area of the cage if the width is 8 feet?
a) 114 ft2. b) 336 ft?
C) 384 ft? d) 464 it
Answer:
D 464
Step-by-step explanation:
lemme know if you need an explanation
Which describes how to calculate the range of this data set?
4, 5, 6, 8, 11, 12
Subtract 11 - 5
Subtract 12 - 4
Add 11 + 5
Add 12 + 4
Answer:
12 - 4
Step-by-step explanation:
To get the range, subtract the lowest number from the highest
The highest number is 12
The lowest number is 4
Range = 12 - 4
= 8
Answer:
12 - 4
Step-by-step explanation:
To get the range, subtract the lowest number from the highest
The highest number is 12
The lowest number is 4
Range = 12 - 4
= 8
Step-by-step explanation:
ursula sold 47 copies her new app for $26 each. How much money did Ursula make? Use the numbers below to fill in the area model. You may not use all of the numbers.
800 36 42 6 20
400 140 7 24 240
Final answer:
Ursula made $1,222 by selling 47 copies of her app for $26 each. The calculation is straightforward multiplication, and the numbers provided for the area model were not needed.
Explanation:
To calculate how much money Ursula made from selling 47 copies of her new app at $26 each, we should multiply the number of copies sold by the price per copy. So, the calculation will be as follows:
47 copies imes $26/copy = $1,222.
Therefore, Ursula made $1,222 from her app sales.
The numbers provided for the area model are part of another exercise and not relevant to this calculation. In this case, we did not need to use the area model to find the answer.
Which relation is a function?
A) x = y2 - 3
B) x = y - 4x2
C) y2 = 4x - 6
D) x2 = y2 - 10
Answer:it is B
Step-by-step explanation:
A shipping company damaged 15 packages. Each package was valued at $175.50. Which expression represents this situation?
A. 15 x (-$175.50)
B. 15 + $175.50
C. 15 – $175.50
D. 15 ÷ (-$175.50)
Answer: A
Step-by-step explanation:
15 packages damaged. Cost is -175.50 this is a loss. So 15x(-175.50)
Expression represents the situation of shipping company damages is 15 x (-$175.50).
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, a shipping company damaged 15 packages and each package was valued at $175.50. Hence,
Expression that represents this situation = 15 * 175.50
this value will be in negative since its a loss.
Therefore, The expression 15 x (-$175.50) depicts the state of the transportation company's damages.
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Solve this equation with a variable term on both sides:
5.1y + 21.3 = –0.3y – 24.6
What is the solution?
y =
Answer:
-8.5
Step-by-step explanation:
5.1y + 21.3 = -0.3y - 24.6
get the equation to one side and have so it y is positive
5.4y + 45.9= 0
Then subtract 45.9 to the 0 so its like this
5.4y = -45.9
then devide -45.9/5.4
answer y= -8.5
Answer:
-8.5
Step-by-step explanation:
write an equation that is parallel to the line Y equals 1/2 x -4 and passes through the point 6 / -2
Answer:
Y equals 1/2 x -4 and passes through the point 6 / -2
Step-by-step explanation:
why is it that |-9| = |9|
PLEASE HELP ASAP
A: The absolute value of a number gives its distance from zero on the number line.
B: when you multiply either number by -1, you get the other.
C: The absolute value of a number always gives the opposite of a negative number in the square of a positive number.
D: when the numbers are squared, they give the same answer.
Answer:
The answer A. "The absolute value of a number gives its distance from zero on the number line."
Step-by-step explanation:
An absolute number has these in it '| |'. An absolute number always is positive, because it represents a difference.
For example, the difference of 0 and -30 is |30|.
Though 0 - 30 is -30, the DIFFERENCE is |30|.
As the answer says, "its distance from zero on the number line".
Final answer:
The absolute value of -9 equals the absolute value of 9, which is 9, because absolute value represents the distance from zero on the number line, and both -9 and 9 are 9 units away from zero, regardless of their direction.
Explanation:
The reason why |-9| = |9| is because the absolute value of a number refers to its distance from zero on the number line. This distance is always a non-negative number since it does not refer to direction, just the magnitude of separation from zero. Therefore, both -9 and 9 are 9 units away from zero, and their absolute values are equal.
In mathematical terms, the absolute value function, denoted by | |, strips away the sign of a number, turning any negative number into its positive counterpart. So, |9| is already positive, and |-9| transforms -9 into 9 because you remove the negative sign, rendering both absolute values equivalent.
Is parallelogram HIJK a rhombus?
Answer:
yes it is
Step-by-step explanation:
What do i do on this.
Answer:
Step-by-step explanation:
[tex]\frac{6-4x}{y^{4}}=\frac{6-4*(-7)}{2^{4}}\\\\=\frac{6+28}{16}\\\\=\frac{34}{16}\\\\=\frac{17}{8}\\\\=2\frac{1}{8}[/tex]
1 googol is 1 × 10100 Danesh says, " When I multiply 1.496 × 1011 by 6.68 × 109 I get nearly 1 googol because 1.496 × 1011 × 6.68 × 109 = 9.99 × 1099 " (b) Is Danesh correct? Give a reason for your answer
Danesh is incorrect as the multiplication of 1.496 × 1011 and 6.68 × 109 results in a value with 1020, not 1099. Moreover, 1 googol equals 1 × 10100, which is much larger.
Explanation:No, Danesh is incorrect. According to the laws of exponents, when you multiply two powers with the same base, you add the exponents. Therefore, the multiplication of 1.496 × 1011 and 6.68 × 109 will result in a value that is multiplied by 1020 and not 1099. Also, 1 googol is significantly larger than the result of this multiplication because it is equal to 1 × 10100. Thus, the statement made by Danesh is inaccurate.
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Staci is attending a music festival. The ticket to the festival costs $87.96 . Staci plans to purchase $30.00 t-shirts form the event for close friends. She is taking $200.00 to the festival . What is the maximum Numbers of t-shirts staci can purchase
Answer:
3 t-shirts
Step-by-step explanation:
Lets recap the information we will use from this problem:
The ticket to the festival costs $87.96
T-shirts are $30.00
She is taking $200.00 to the festival
Now we can solve. First we will subtract the price of the ticket from the total amount of money she has.
$200.00 - $87.96 = $112.04
Now that she has payed for the ticket, we want to find out how many shirts she can buy with the remainder of her money. To find this, we will set up an equation like this:
(Amount of money left) ÷ (Cost of 1 t-shirt) = (How many t-shirts she can buy)
Insert your numbers: $112.04 ÷ $30.00 = 3.73466666667
Because she cant buy a fraction of a t-shirt, we ignore the decimals on the end of this number. Therefore, Staci can purchase 3 t-shirts.
After paying for the festival ticket, Staci will have $112.04 left. As each t-shirt costs $30, she can buy a maximum of 3 t-shirts.
Explanation:The question is about determining how many T-shirts Staci can purchase given a specific budget. First, Staci has to cover the cost of the music festival ticket, which is $87.96. After paying for the ticket, Staci would have $200 - $87.96 = $112.04 left.
Given that each T-shirt costs $30, the maximum number of T-shirts she can purchase can be calculated by dividing the remaining amount by the cost of a T-shirt. Hence, $112.04/$30 ≈ 3.73. Since she can't buy a fractional T-shirt, the maximum number of T-shirts she can buy is 3.
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Solve for x 3(2x-4)=6
1. Divide both sides by 3
2x - 4 = 6/3
2. Simplify 6/3 to 2
2x - 4 = 2
3. Add 4 to both sides
2x = 2 + 4
4. Simplify 2 + 4 to 6
2x = 6
5. Divide both sides by 2
x = 6/2
6. Simplify 6/2 to 3
x = 3
Which point is the centroid of triangle JKL?
A. Point K
B. Point M
C. Point R
D. Point J
Answer:
The answer is C. Point R.
Step-by-step explanation:
It is point R because that is where all the lines meet in the center.
$9000 is 60% of what number?
Answer:
15000
Step-by-step explanation:
We have, 60% × x = 900 or,
60
100
× x = 9000
Multiplying both sides by 100 and dividing both sides by 60,
we have x = 9000 ×
100
60
x = 15000
If you are using a calculator, simply enter 9000×100÷60, which will give you the answer.
The fraction 40/50 is equivalent to ___. *
1 point
.13
1.25
80%
20%
Answer:
80%
Step-by-step explanation:
The original price of the shorts is $35. They are on sale for 25% off. What is the sale price?
Answer:
$26.25
Step-by-step explanation:
So what you do is divide 25 by 100 so its a decimal .25 then multiply that by 35 and you get 35/4 or 8.75 you take that number and subtract it from 35 and you get 26.25.
For future reference what ever percentage you have like if says it went up 80% you divide that by a hundred also and you get .80 you multiply that by 35 you get 28 you don't subtract it from the original price but you add it so you get 35+28=63 and that's your final answer.
Remember you divide the percentage for example 25 by 100 multiply by the price it gives for example 35 if the question says off you subtract what you got from the original price if it went up you add it to the original price and that's your final answer. Hope this help :)
600 or 600 decreased by 20% and then increased by 20% of the result? Which amount is larger and by how much
Answer:
The initial value of 600 is larger and larger by 24.
Step-by-step explanation:
First of all a 20% decreased of 600.
So, the new value will be [tex]600(1 - \frac{20}{100}) = 600 \times 0.8 = 480[/tex].
Now, then it is increased by 20% i.e. 480 will be increased by 20%.
So, the new value will be [tex]480(1 + \frac{20}{100}) = 480 \times 1.2 = 576[/tex].
Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)
Answer:
The initial value of 600 is larger and larger by 24.
Step-by-step explanation:
First of all a 20% decreased of 600.
So, the new value will be .
Now, then it is increased by 20% i.e. 480 will be increased by 20%.
So, the new value will be .
Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)
The length of a rectangle is 5 feet more than twice the width. The perimeter is 28 feet. Find the length and width.
Answer:
Step-by-step explanation: 5 times 2 equals 10
Find the minimum value of
C = x + y
subject to the following constraints:
2x + y = 20
2x + 3y = 36
X=0
Y=0
Answer:
14
Step-by-step explanation:
2x + y = 20 (1)
2x + 3y = 36 (2)
(2) - (1) ⇔ (2x - 3y) - (2x + y) = 36 - 20
⇔ 2y = 16
⇔ y = 8 (3)
From (3) and (1), we have:
2x + y = 2x + 8 = 20
⇔ 2x = 12
⇔ x = 6
So: C = x + y = 6 + 8 = 14
Conclusion : C = 14
Brainliest, please?
The minimum value of the function C = x + y, under the given constraints, is 0. This is obtained when both x and y are equal to 0. If the constraints 2x + y = 20 and 2x + 3y = 36 are considered, the value obtained is 16, which is larger.
Explanation:To solve this problem, we need to substitute the values of x and y into the function C = x + y and then find the minimum. As our initial constraints state x=0 and y=0, we can try these values first. C at (x = 0, y = 0) is 0 + 0 = 0.
The above scenario considers only the initial constraints x=0 and y=0.So, let's consider the constraints 2x + y = 20 and 2x + 3y = 36. We can solve these two equations simultaneously to get the values of x and y. When we solve them, it results x = 4 and y = 12. Substitute these values in the function C = x + y, we get C = 4 + 12 = 16.
Therefore, comparing the values obtained, the minimum value of the function C = x + y, subjected to the given constraints, is 0 when both x and y are 0.
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you have 480 roses and 24 of them dies, how many per cent died?
Answer:
5%
Step-by-step explanation:
5% of the roses died.
480 roses = Total number of roses
24 roses = number of roses that died
24 roses that died as a percent of 480 the total is:
24/480*100= 5%
To find the percent of roses that died, we take the number of roses that died and divide it by the total amount of roses there are and multiply it by 100 to find the percent.
Final answer:
To find out the percentage of roses that died, you can use a proportion where 24 out of 480 roses is equal to x out of 100, and solve for x, resulting in 5% of the roses that died.
Explanation:
To calculate the percentage of roses that died, you can set up an equivalent fraction that compares the number of dead roses to the total number of roses, with 100 as the denominator. In this case, 24 roses died out of 480. The fraction for this scenario is 24/480, and you want to find out how this fraction translates to a percentage.
To do this, you would set up a proportion like this:
24/480 = x/100
Cross-multiply to solve for x, which represents the percentage of dead roses:
24*100 = 480*x
2400 = 480*x
x = 2400/480
x = 5
So, 5% of the roses died.
Solve for y: 4(2y-1) = 3y + 9
Answer:
4 (2y-1)=3y+9
-2y. -2y
4 (1)=1y+9
-1. -1
4=1y+8
÷4. ÷4
0=1y+2
Answer:
y = 2.6
Step-by-step explanation:
in order to solve for y in the equation 4(2y-1) = 3y + 9
we fisrt open the bracket according to BODMAS rule
4(2y-1) = 3y + 9
8y - 4 = 3y + 9
the next strp is to collect the like terms
8y -4 -3y = 9
please note that when ever you are taking a positive number across the equall to sign it changes to negative (-) same thing applies to negative sign it changes to positve(+) respectively
8y-3y = 9 + 4
5y = 13
divide both ides by 5
5y/5 = 13/5
y = 2.6
If Joe makes 16 out of 40 free throws in a
basketball game, what is his free throw shooting
percentage?
Answer:
the answer is 6.4%
Step-by-step explanation:
Because you have to do 16% of 40 and it will give you 6.4 and as a percent it is 640% hope it helps!!!!!!!!!
The water level in a swimming pool increased from 4.5 feet to 6 feet.What is the percent increased in the water level rounded to the nearest tenth of a percent?Show your work
Step-by-step explanation:
Because 6 = 100 percent 4.5 = 80.5how do you do this
Answer:
The best choice is to use a calculator (the button is [tex]\sqrt[/tex]), but if that is not an option here are a few tips.
If a perfect square ends with a 1, then the last digit of its square root has to be either 1 or 9.
If a perfect square ends with a 4, then the last digit of its square root has to be either 2 or 8.
If a perfect square ends with a 5, then the last digit of its square root is definitely 5.
If a perfect square ends with a 6, then the last digit of its square root has to be either 4 or 6.
If a perfect square ends with a 9, then the last digit of its square root has to be either 3 or 7.
I took a look and all of them seem to be perfect squares so hopefully this helps!
Which expression is equivalent to y times y times y times z times z times z times z? y cubed z Superscript 4 12xy (y z) Superscript 7 7xy
Answer:
Option 1 - y cubed z superscript 4
Step-by-step explanation:
Given : Expression y times y times y times z times z times z times z.
To find : Which expression is equivalent to given expression ?
Solution :
Re-write the expression as,
[tex]y \times y \times y \times z \times z \times z \times z[/tex]
Write the number of time value repeat itself as the power,
[tex]y \times y \times y \times z \times z \times z \times z=y^3\times z^4[/tex]
[tex]y \times y \times y \times z \times z \times z \times z=y^3z^4[/tex]
or we can say that the expression is y cubed z superscript 4.
Therefore, option 1 is correct.
Answer:
it is A).
Step-by-step explanation: