Answer:
30
Step-by-step explanation:
a right angle is 90 degrees so if it split into two parts and one is 30 degrees and the other is x (an unknown) you could do 90-30 to get 60 but since it is 2x but has to equal 60 it is going to be 30 because 30 times 2 is 60
Answer:
The answer is 30
Step-by-step explanation:
hope this helps!
Write the fraction as a decimal 21/40
Answer:
0.525
Step-by-step explanation:
It's easy
Answer:
0.53
Step-by-step explanation:
I’m the slope-intercept form, what variable is used to represent the y-intercept? Y=Mx+b
A. M is the y-intercept
B. B is the y-intercept
4x - 2y = 0
-x - 2y = -25
Answer:
[tex]x=5,y=10[/tex]
Step-by-step explanation:
Given:
[tex]4x - 2y = 0[/tex] equation:1
[tex]-x - 2y = -25[/tex] equation:2
Terminating the equations by subtracting equation:2 from equation:1
[tex]4x - 2y -(-x - 2y)= 0-( -25)\\\\ 4x-2y+x+2y=25\\\\5x=25\\\\x=5[/tex]
Putting 'x' in equation :1
[tex]4(5) - 2y = 0\\\\20-2y=0\\\\2y=20\\\\y=10[/tex]
[tex]x=5,y=10[/tex]
Please help asap i will mark branlist please explain both question
Answer:
5. C. {(22, 10), (23, 10), (24, 7), (25, 5)}
6. C. x = -2
Step-by-step explanation:
A relation is not a function if a vertical line intersects a graph of it in more than one place.
__
5. A set of ordered pairs is not a function if any of the first-values is repeated.
In set A, (22, ) is repeated.
In set B, (23, ) is repeated.
In set D, (24, ) is repeated.
In set C, no first-value is repeated, so the relation is a function.
__
6. The line x=-2 is a vertical line, so a vertical line intersect it in an infinite number of places. It is NOT a function.
A private school admits no more than 100 students every year. Additionally at least 30 of these students must be girls, x, and the school admits at least as many girls as boys, y.
Answer:
The equation to this word problem are:
x ≥ 30 ...... (1)
x ≥ y ...... (2)
x + y ≤ 100 ..... (3)
Step-by-step explanation:
Here, the given question is INCOMPLETE.
A private school admits no more than 100 students every year. additionally, at least 30 of these students must be girls, x and the school admits at least as many girls as boys, y. What are the equation to this word problem.
Let us assume the number of girls admitted in the school = x
At least 30 of these students must be girls.
⇒ x ≥ 30 ...... (1)
Let us assume the number of boys admitted in the school = y
The school admits at least as many girls as boys.
⇒ x ≥ y ...... (2)
Also, TOTAL STUDENTS = No more than 100
So, Total Number of ( Boys + Girls) ≤ 100
⇒ x + y ≤ 100 ..... (3)
Hence, the the equation to this word problem are:
x ≥ 30 ...... (1)
x ≥ y ...... (2)
x + y ≤ 100 ..... (3)
The sum of two numbers is −45. One number is 9 more than the other. Find the numbers.
Answer:
-27 and -18
Step-by-step explanation:
Solve algebraically. Use a variable and an expression to represent the numbers.
let the smaller number be "x"
The bigger number is x + 9.
The two numbers are "x" and "x + 9".
The sum of two numbers means when you add them together. If their number is −45, then:
x + x + 9 = −45
Simplify and isolate "x" to solve in the equation.
x + x + 9 = −45 Collect like terms (numbers that have "x") to simplify
2x + 9 = −45 Isolate "x"
2x + 9 - 9 = −45 - 9 Subtract 9 from both sides
2x = −54
2x/2 = −54/2 Divide both sides by 2
x = -27 Value of smaller number
The bigger number is x + 9. Substitute "x" for -27 and solve.
x + 9
= -27 + 9 Add together
= -18 Value of bigger number
Therefore the two numbers are -27 and -18.
Answer:
if -45 + -9 = -54 that means - 54 + 9 = -45
Step-by-step explanation:
ASAP Correct Penn Foster answer only
which of the following is a goal of the globalization movement?
A. Nations should pass regulations to protect infant industries
B. Removing barriers to trade
C. Tariffs are an acceptable way to protect a nation's manufacturing
D. Nations should feel free to have different trade standards with different nations
Answer:
B
Step-by-step explanation:
Globalization represents to the worldwide reconciliation of universal exchange, venture, data innovation and societies. Government strategies intended to open economies locally and universally to support advancement in poorer nations and raise ways of life for their kin are what drive globalization. In any case, these approaches have made a universal free market that has principally profited global enterprises in the Western world to the disadvantage of littler organizations, societies and average folks.
Answer:
I took the test the answer is B.
Step-by-step explanation:
There are 28 boys in the band
The 28 boys are 7/10 of the students in the marching band
How fraction of the students in the marching band are girls
Answer:
3/10
Step-by-step explanation:
10/10 - 7/10 = 3/10
Final answer:
The fraction of students in the marching band that are girls is 3/10, calculated by first determining the total number of students and then finding the difference between the total and the number of boys.
Explanation:
To figure out what fraction of the students in the marching band are girls, we need to first determine the total number of students in the band based on the given information that 28 boys represent 7/10 of the band. To find the total, we divide the number of boys by the fraction they represent:
Total students = 28 boys ÷ (7/10) = 40 students
Now, to find the number of girls, we subtract the number of boys from the total number of students:
Girls = Total students - Boys = 40 students - 28 boys = 12 girls
To find the fraction that represents the girls in the band, we put the number of girls over the total number of students:
Fraction of girls = Girls ÷ Total students = 12 ÷ 40 = 3/10
Need help with this question anybody
Answer:
The answer is option C [tex](x+1)^{2} + ( y-2)^2 =25[/tex]
Step-by-step explanation:
i) The answer is option C [tex](x+1)^{2} + ( y-2)^2 =25[/tex]
Please help, I need input on if I did this correctly and you just substitute.
I have the function h(t) = -16t^2 + 15t + 6.5
t equals 15/32.
If you substitute 15/32 for t, what do you get?
Any help is appreciated, thank you very much!
The value of h(t) when [tex]t=\frac{15}{32}[/tex] is 10.02.
Solution:
Given function [tex]h(t)=-16t^2+15t+6.5[/tex]
To find the value of h(t) when [tex]t=\frac{15}{32}[/tex]:
[tex]h(t)=-16t^2+15t+6.5[/tex]
Substitute [tex]t=\frac{15}{32}[/tex] in the given function.
[tex]$h\left(\frac{15}{32} \right)=-16\left(\frac{15}{32} \right)^2+15\left(\frac{15}{32} \right)+6.5[/tex]
[tex]$=-16\left(\frac{225}{1024} \right)+15\left(\frac{15}{32} \right)+6.5[/tex]
Now multiply the common terms into inside the bracket.
[tex]$=-\left(\frac{3600}{1024} \right)+\left(\frac{225}{32} \right)+6.5[/tex]
Now, in the first term, the numerator and denominator both have common factor 16. So reduce the first term into the lowest term.
[tex]$=-\left(\frac{225}{64} \right)+\left(\frac{225}{32} \right)+6.5[/tex]
To make the denominator same, take LCM of the denominators.
LCM of 64 and 32 = 64
[tex]$=-\left(\frac{225}{64} \right)+\left(\frac{225\times2}{32\times2} \right)+6.5\times\frac{64}{64}[/tex]
[tex]$=-\frac{225}{64} +\frac{450}{64}+\frac{416}{64}[/tex]
[tex]$=\frac{-225+450+416}{64}[/tex]
[tex]$=\frac{641}{64}[/tex]
= 10.02
[tex]$h\left(\frac{15}{32} \right)=10.02[/tex]
Hence the value of h(t) when [tex]t=\frac{15}{32}[/tex] is 10.02.
Tervis tumblers are on sale for 15% off, and I have a coupon for an additional 20% off. If a Tervis Tumbler is normally $17.99, how much will I pay?
Answer:
You will pay $12.23
Step-by-step explanation:
One method:
$17.99 * (1-15%) = $15.29
$15.29 * (1-20%) = $12.23
Identify the binomial that is a factor of the polynomial P(x) = x^3 + 5x^2 − 9x − 45.
(x²-3²)(x+5) is the binomial that is a factor of the polynomial P(x) = x³ + 5x² − 9x − 45
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is P(x) = x³ + 5x² − 9x − 45.
Factor out the greatest common factor from each group.
x³ + 5x² − 9x − 45.
x cube plus five times of x square minus nine times of x minus forty five.
x² (x+5)-9(x+5)
(x²-9)(x+5)
We can write 9 as a square of three
(x²-3²)(x+5)
A mathematical expression consisting of two terms connected by a plus sign or minus sign
Hence, (x²-3²)(x+5) is the binomial that is a factor of the polynomial P(x) = x³ + 5x² − 9x − 45
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Why do equivalent ratios form a straight line when graphed?
The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.
Explanation:
Equivalent proportions (which are, as a result, equal parts) are two proportions that express a similar connection between numbers. We can make comparable proportions by duplicating or separating both the numerator and denominator of a given proportion by a similar number.
Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.
Answer:
The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.
Step-by-step explanation:
Copy and paste this answer and you will get it correct!!!!! I promise!
Rachel types 162 words in 3 minutes. Rachel types at a constant rate.
Answer:
rise
Step-by-step explanation:
a boat is 600 meters from the base of a cliff. Erika, who is sitting in the boat, notices that the angle of elevation to the top of the cliff is 32°. How high is the cliff?
Answer:
375 meters
Step-by-step explanation:
We use the tangent ratio to determine the height of the height of the cliff.
We have that, the boat is 600 meters from the base of a cliff.
We also know that, the angle of elevation to the top of the cliff is 32°
Using the tangent ratio, we have:
[tex] \tan(32) = \frac{h}{600} [/tex]
We solve for h to obtain:
[tex]600\tan(32) = h[/tex]
[tex]h = 374.92[/tex]
Therefore the height of the cliff is approximately 375 meters
The angle of elevation is an angle that is formed between the horizontal line and the line of sight, hence the Height of the cliff is
374.4 meters
Height of Cliff/ Angle of ElevationGiven Data
Opposite/Height of cliff = ??
Adjacent/Distance of boat from base = 600 meters
Angle of elevation ∅ = 32°
By applying SOH CAT TOA
Tan ∅ = Opp/Adj
Substituting our given Data we have
Tan 32 = Opp/600
0.624 = Opp/600
Cross multiply we have
Opp = 0.624*600
Opp = 374.4 meters
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What is the value of h?
Answer:
x = 5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex], then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x × [tex]\sqrt{2}[/tex] = 10 ( divide both sides by [tex]\sqrt{2}[/tex] )
x = [tex]\frac{10}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]
= [tex]\frac{10\sqrt{2} }{2}[/tex] = 5[tex]\sqrt{2}[/tex]
The store has put up a robotics kit on sale for 25% off the original price of $250, AND you have a coupon for an additional 20% off the price of any item at a store.
A. How much will you pay for the robotics kit if you use your coupon?
B. In all, by how much has the robotics kit been discounted in dollars?
C. After both discounts were taken, what was the total percent discount?
A. If you use only the coupon you will have to pay $137.50.
B. Using the Coupon during the sale, the kit is discounted by $112.50
C. The total percent discount is 45% after both discounts.
Step-by-step explanation:
Step 1; The store has the robotics kit for a sale of 25% off $250. So we need to find how much 25% is in terms of $250. To do that we convert 25% into a fraction by dividing it by 100 and multiplying it with $250.
25% of $250 = [tex]\frac{25}{100}[/tex] × $250 = 0.25 × $250 = $62.50
So we find the cost of the kit due to the store's discount. To do that we subtract the discounted price from the original price.
Robotics kit price after 25% discount = $250 - $62.50 = $187.50.
Step 2; A coupon you have gives you an additional 20% discount. So the robotics kit can be brought for 25% off due to the sale at the store, due to this coupon you get an additional 20%. So you get a 45% discount off $250.
45% of $250 = [tex]\frac{45}{100}[/tex] × $250 = 0.45 × $250 = $112.50.
So to find the total discount we subtract this $112.50 from the non-discounted cost of $250.
Total discounted price = $250 - $112.50 = $137.50.
Lin’s puppy is gaining weight at a rate of 0.125 pounds per day. Describe the Weight gain in days per pound
Final answer:
The weight gain in days per pound for Lin's puppy is 8 days per pound.
Explanation:
The weight gain in days per pound can be calculated by taking the reciprocal of the rate of weight gain. In this case, Lin's puppy is gaining weight at a rate of 0.125 pounds per day. To find the weight gain in days per pound, we can take the reciprocal of 0.125, which is 1/0.125 = 8 days per pound.
there can be at most 1100 people in the Pokémon conference room. There are currently 20 tables set up the canned seat 10 people each. there are additional tables in storage that seats 25 people each
A machine makes 300 boxes in 15 minutes which expression equals the unit rate in box per hour
Answer:
20 per min
Step-by-step explanation:
Answer: 1200 boxes per 1 hour
Step-by-step explanation: 15 divided by 3 is 5. 300 divided by 100. 100 boxes in 5 minutes. 5 times x is 60. 60 is a hour. 60 divided by 5 is 12. 100 times 12 is 1200. 1200 boxes per 1 hour.
The length of a rectangle is two more than four times the width if the perimeter is 54 inches what are the length and width?
Answer:
Length = 22 inches, Width = 5 inches
Step-by-step explanation:
Let P represent the Perimeter, L , the length and W, the width
Perimeter of a rectangle, P = 2 (L + W) ....eq 1
from the question;
L = 2 + 4W .....eq 2
Slotting in the respective values of P and L in eq 1
54 = 2{(2 + 4W) + W}
Expanding the bracket
54 = 2(2 + 5W)
54 = 4 + 10W
Subtracting 4 from both sides of the equation
54 - 4 = 10 W
50 = 10W
Dividing both sides by the coefficient of W which is 10
5 = W
Therefore, W = 5 inches
Slotting in the value of W in eq 2
L = 2 + 4(5)
L = 2 + 20
L = 22 inches
Now lets check our answers by slotting in the values of P, L and W in eq 1
54 = 2 (22 + 5)
54 = 2 (27)
54 = 54
Since both sides of the equation are equal, the values of L and W are correct
Hence Length = 22 inches, Width = 5 inches
Factor x3 + 3x2 + 2x completely.
x(x2 + 3x + 2)
x(x + 1)(x + 2)
x(x - 1)(x - 2)
DONE
Answer:
x(x + 1)(x + 2)Step-by-step explanation:
x³ + 3x² + 2x
= x(x² + 3x + 2) , notice that x is a common factor
= x(x + 1)(x + 2)
Remark: (x + 1)(x + 2) = x² + 3x + 2 ; just develop
The second option is correct. To factor x³ + 3x² + 2x completely, factor out the common factor of x and then factor the quadratic expression inside the parentheses.
Explanation:To factor the polynomial x³ + 3x² + 2x completely, we look for common factors and factor out an x term. This gives us x(x² + 3x + 2). Then, we factor the quadratic expression inside the parentheses by finding two numbers that multiply to give 2 and add up to give 3. In this case, the numbers are 1 and 2. Therefore, the factored form of the polynomial is x(x + 1)(x + 2).
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Plz Help Asap Ill give thanks high rating and both Brainly awards
1. simplify 8m+4n+7m-2n
2. name the expression that is the result of the distributive property for 12(5y+4)
3. see attachment with red 3
4. factor 4d+12 [ ](d+[ ]) type in boxes
5. find the factored form of -4.5n+3
Plz specify the answer to the question like how I labeled my questions.
step-by-step explanation:
1.
8m +4n +7m-2n
=8m+7m+4n-2n
=15m+2n
2.
12(5y+4)
=60y+48 [ Using distributive law]
Therefore it is binomial of one variable.
3.
[tex]-2(\frac{1}{3}x -\frac{1}{5} )[/tex]
[tex]=-\frac{2}{3} x +\frac{2}{5}[/tex]
4.
4d+12
=4(d+3)
5.
-4.5n+3
= -4(5n+3)
What is an equivalent expression to 4x - 16d
Answer:
2x-8d
Step-by-step explanation:
a tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24. The players were styill hungry so the coach bought 6 more hamburgers and 2 more fries for $16.60. Find the cost of each.
Answer:
Hamburger = $2.5
Fries = $0.80
Step-by-step explanation:
set up a system of equations
y = total cost
x = number of hamburgers
y = number of fries
[tex]24=8x+5y\\16.60=6x+2y[/tex]
find a LCF and multiply the equations. I'll be using the LCF of 5 & 2, which is 10 for y. so I will mulitilpy the first equation by 2 to get 10y and then the second by NEGATIVE 5 (-5) so when I combine both equations the y will cancle out because I'll get -10. Doing this, you should end up with this:
[tex]48=16x+10y\\-83=-30x-10y[/tex]
when you have this combine the equations to get
[tex]-35=-14x[/tex]
then divide both sides by -14 to get
[tex]2.5=x[/tex] this is the cost of one hamburger
then you plug in x into one of the original equations (I'll use the first equation)
[tex]24=8(2.5)+5y[/tex]
then solve for y to get
[tex]0.80=y[/tex] this is the cost for fry
if you plug in both the value for x and y into the original equations (like so)
[tex]24=8(2.5)+5(0.8)\\16.60=6(2.5)+2(0.8)[/tex]
you'll see that they are true (they equal one another)
this means that the cost of a hamburger is $2.50 and the cost of fries is $0.80
The cost of each hamburger is $2.50, and the cost of each serving of fries is $0.80.
Let's use a system of equations to solve this problem. Let h represent the cost of a hamburger and f represent the cost of a serving of fries.
From the information given, we can create two equations:
8h + 5f = 24
6h + 2f = 16.60
Now, we can solve this system of equations. We can start by solving one of the equations for one of the variables and then substituting it into the other equation. Let's solve equation 1 for h:
8h = 24 - 5f
h = (24 - 5f)/8
Now, substitute this expression for h into equation 2:
6[(24 - 5f)/8] + 2f = 16.60
Now, we can simplify and solve for f:
(3/4)(24 - 5f) + 2f = 16.60
Multiply both sides by 4 to eliminate the fraction:
3(24 - 5f) + 8f = 66.40
Now, distribute the 3 on the left side:
72 - 15f + 8f = 66.40
Combine like terms:
-7f = 66.40 - 72
-7f = -5.60
Now, divide by -7 to solve for f:
f = -5.60 / -7
f = $0.80
Now that we've found the cost of a serving of fries (f), we can use this value to find the cost of a hamburger (h) using equation 1:
8h + 5(0.80) = 24
8h + 4 = 24
8h = 24 - 4
8h = 20
h = 20 / 8
h = $2.50
So, the cost of each hamburger is $2.50, and the cost of each serving of fries is $0.80.
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On April 14-15, 1921 in Silver Lake.
Colorado, 76 inches of snow fell in
24 hours, at an average rate of
3.2 inches per hour. Find a rule for
the linear function that describes the
amount of snow after x hours at the
average rate.
Answer:
Step-by-step explanation:
First, we can convert feet to inches
1 foot=12 inches
7 feet=84 inches
Next, we find out inches per hour
84 inches/27 1/2 hours
----------- --------------
27 1/2 27 1/2
=3.054 inches/hour
Out of each 100 products , 93 are ready for purchase by customers. If you selected 20 products, what would be the expected mean number that would be ready to purchase by customers?
Answer:
19
Step-by-step explanation:
We have that out of 100 products , 93 are ready for purchase by customers.
The probability of the product being purchased is 93% or 0.93.
The expectation is given by;
E(x)=n*p(x)
If the 20 products are selected, then we have n=20
The expectation is
[tex] \bar x = 0.93 \times 20[/tex]
[tex] \bar x = 18.6[/tex]
Thus approximately 19 customers will be ready to purchase
Final answer:
The expected mean number of products ready for purchase out of 20 selected is 18.6, calculated by multiplying the probability of one product being ready (0.93) by the total number of products (20).
Explanation:
To determine the expected mean number of products ready to purchase out of a selection of 20 products, given that out of each 100, 93 are ready, we use the concept of probability and expected value. The probability that any one product is ready to purchase can be represented as 93/100 or 0.93.
For the expected mean number of products ready to purchase out of 20, we multiply the probability that one product is ready (0.93) by the total number of products chosen (20):
Expected mean number = 0.93 * 20 = 18.6
Therefore, we would expect that, on average, 18.6 out of 20 products selected would be ready to purchase.
When 4((0.5 x + 2.5 y minus 0.7 x minus 1.3 y + 4)) is simplified, what is the resulting expression?
Answer:
[tex]-0.8x + 4.8y + 16[/tex]
Step-by-step explanation:
We have to simplify the given expression:
[tex]4(0.5x + 2.5y-0.7x-1.3y+4)[/tex]
First we group all the like terms of x.
[tex]4((0.5x-0.7x) + 2.5y-1.3y+4))\\=4(-0.2x+ 2.5y-1.3y+4)[/tex]
Next we group all the like terms of y.
[tex]4(-0.2x+ (2.5y-1.3y)+4)\\=4(-0.2x+1.2y+4)[/tex]
Now, we use distributive property for the multiplication,
[tex]4(-0.2x+1.2y+4)\\=(4\times -0.2x) + (4\times 1.2y) + (4\times 4)\\=-0.8x + 4.8y + 16[/tex]
is the required simplified expression.
Answer:
-0.8x + 4.8y + 16
Step-by-step explanation:
What is the solution of the equation?
A. –5, 11
B. 5
C. 11
D. –11
Answer:
The solution is -5 or 11
Step-by-step explanation:
We are given the equation;
[tex]4(3-x)^\frac{4}{3}-5=59[/tex]
We are supposed to solve the equation;
Taking 5 to the other side;
[tex]4(3-x)^\frac{4}{3}=59+5[/tex]
[tex]4(3-x)^\frac{4}{3}=64[/tex]
Dividing both sides by 4
[tex](3-x)^\frac{4}{3}=\frac{64}{4}[/tex]
[tex](3-x)^\frac{4}{3}=16[/tex]
We can cube both sides;
[tex]((3-x)^\frac{4}{3})^3=16^3[/tex]
[tex](3-x)^4=4096[/tex]
Then we can get the fourth root on both sides of the equation;
[tex]\sqrt[4]{ (3-x)^4} =\sqrt[4]{4096}[/tex]
We get;
[tex]3-x=+8 or -8[/tex]
Solving for x
[tex]3-x=8 and 3-x=-8[/tex]
Therefore;
[tex]x=-5 or 11[/tex]
Therefore, the solution is -5 or 11
What is 10 and 3 4ths equal
Answer:
Decimal form: 10.75
Fraction form: 10 6/8 = 10 12/16 = 10 18/24 and so on.
Simplest form: 10 3/4
Fraction greater than 1 form: 43/4