Answer:
3, -3
Step-by-step explanation:
6x^2=54
x^2=54/6
x^2=9
x=sqrt(9)
x=3, -3
Ingrid has $30 to buy oil paints for her painting class. Each tube of paint
costs $9. How many tubes can she buy? Do not include units in your answer.
Answer:
3
Step-by-step explanation:
She has enough money to buy 3 tubes which leaves with $3 for whatever else she desires
I don't really understand :/
Remove all perfect squares from inside the square root.
√180
Answer:
6[tex]\sqrt{5}[/tex]
Step-by-step explanation:
We can factorize 180 to get 2^2*3^2*5.
We know that 2^2 and 3^2 are squares so we can remove them from under the radical.
So, the simplified square root would be 6[tex]\sqrt{5}[/tex]
To remove perfect squares inside a square root, we simplify the number using prime factorisation. In this case, √180 simplifies to 6√5.
Explanation:The given value is √180. To simplify it or remove perfect squares, we have to find the prime factors of the number under the square root. We can write 180 as 2 * 2 * 3 * 3 * 5. In square root simplifications, we usually group the factors into pairs, because a pair of same factors gives one factor outside the square root. Here, 2 * 2 becomes 2 and 3 * 3 becomes 3. There is an extra 5 inside the square root that cannot come out because it doesn't have a pair. Hence, √180 simplifies to 6√5.
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Higher Order Thinking
Mrs. Dryson
divided her collection of 52 glass bears
into equal groups. She had 1 bear
left over. How many groups did
Mrs. Dryson make? How many bears
are in each group?
Answer:
There are 26 glass bears in each group and there are 2 equal groups.
Step-by-step explanation:
i hope that help but your problem was kind of werid at first but i foud the answer i hope you enjoy!!!...
12. For triangle MNP shown, find the value of x
and the measure of each of the three angles
M
/(2x – 1)º (2x + 1))
Answer:
[tex]x=36\°\\\angle P=71 \°,\angle N=73 \°,\angle M=36 \°[/tex]
Step-by-step explanation:
Given:
The triangle is shown below.
We know that the sum of all interior angles of a triangle is equal to 180°.
Therefore,
[tex]\angle M+\angle N+\angle P=180 \°\\\\x+2x+1+2x-1=180\°\\\\5x=180\°\\\\x=\frac{180}{5}\\\\x=36\°[/tex]
Now, plugging the value of 'x' in each angle measure and determining its values. We get:
[tex]\angle M=x=36\°\\\angle P=2x-1=2(36)-1=72-1=71\°\\\angle N=2x+1=2(36)+1=72+1=73\°[/tex]
Therefore, the value of 'x' is 36° and the measure of the three angles are 36°, 71° and 73°.
Adam has 16.45 kg of flour, he uses 6.4 kg to make hot cross buns. The remaining flour is exactly enough to make 15 batches of scones. How much flour in kg will be in each batch of scones?
Answer:
Each batch of scones needed 0.67 kg of flour
Step-by-step explanation:
16.45 - 6.4 = 10.05kg (remaining)
15 batches = 10.05kg
1 batch = 0.67kg
Simplify 143.87x34.65x87.78+12.63-19.63 to the nearest tenth.
Answer:
437584.68
Step-by-step explanation:
Answer:
Step-by-step explanation:
437584.7
Sadie finished her math test in sixteen minutes less than three times the amount of times it took her friend Laura to finish.if their combined times was 1 hour and 8 minutes,how long did it take Sadie?
Answer:
Sadie took 47 minutes to finish her test.
Step-by-step explanation:
Let Laura's time be x minutes.
Then we have:
x + 3x - 16 = 68
4x = 84
x = 21 minutes.
So Sadie took 3(21) - 16 = 63-16
= 47 minutes.
WILL MARK BRAINLYEST
500x 300 divided by 100
Answer: 1,500
Step-by-step explanation:
500 times 300 is 150,000
Divide the product by 100 is 1,500
kathy has a garden that is 15 feet wide and 20 feet long.she will plant 1 bulb per square foot.each bang contains 9 bulbs.how many bag does kathy need
Answer:
2 tomato plants will left with Clara.
Step-by-step explanation:
Length of the garden = l = 7 feet
Width of the garden = w = 4 feet
Area of the garden = l × w
Area occupied by single tomato plant =
Number of tomato plants in the garden :
tomato plants
Number of tomato Clara has is 30
Number plants leftover with Clara = 30 - 28 = 2
2 tomato plants will left with Clara.
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Step-by-step explanation:
Answer:
34 bags
Step-by-step explanation:
Area =L*W
20*15 = 300 square feet
She needs to plant 300 bulbs
300/9 = 33.33333(33(1/3) bags
Since she need to purchase bags containing 9 bulbs each, she needs to buy 34 bags (It ill be 6 left since 34 bags =306 bulbs)
If she buys 33 bags it will be only 297 (3 short)
Given C is the midpoint of Ad and be
Answer:
By SAS rule
Step-by-step explanation:
Required to Prove
ABC is congruent to DEC
Given
C is midpoint of AD and BE
As C is the midpoint of both line segments
AC=CD
BC=CE
and ∠ACB=∠DCE(Vertically opposite angles)
⇒By SAS(side-AC and DC, angle-∠ACB,∠DCE,side-BC and EC) congruency rule
triangle ABC is congruent to triangle DEC
A carpenter charges $30 per hour for up to eight hours each day and increases this rate by 50% for additional hours. The carpenter will not work more than ten hours per day. If this daily cost function is modeled by y = f(x) and graphed, which statement is not correct?
A) f(0) = 0, f(8) = 240, and f(10) = 330.
B) The domain is [0, 10] and the range is [0, 330].
C) The graph is increasing on the interval (8, 10) with a slope of 45.
D) If a $20 trip charge is added, the new x-intercept will be (20, 0).
Answer:
D. If 20$ a trip charge is added, the new x-intercept will be (20,0)
This statement is false. The original graph started at (0,0), the x-intercept. Adding a 20$ trip charge moves the graph up 20 so there would not be an x-intercept.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Lola charges $7 for 1/2 dozen cupcakes. What is the price per dozen?
Answer: $14
Step-by-step explanation: To find out the price per dozen, we first need to understand that the word "dozen" means a grouping of 12. This means that 1/2 a dozen would be half of 12 which is 6.
If we double 6 to 12, we multiply by 2. We will also multiply by 2 for the price so we have 7 × 2 which simplifies to 14.
Therefore, Lola will charge $14 for her cupcakes.
I also provided an image to show the 1/2 dozen and dozen cupcakes.
If the graph is reflected over the x-axis, what is the domain of
the function?
The domain of a function is the set of all possible input values for the function. Reflecting a graph over the x-axis does not change the domain of the function.
Explanation:The domain of a function is the set of all possible input values for the function. When a graph is reflected over the x-axis, the y-values are negated. In this case, since the graph is a horizontal line, the y-values remain the same after reflection. Therefore, reflecting the graph over the x-axis does not change the domain of the function. The domain will still be the same set of real numbers that satisfy the given condition, which is 0 ≤ x ≤ 20.
When a function is reflected over the x-axis, the domain remains the same and the sign of each value in the range is negated.
When a function f(x) is reflected over the x-axis to form -f(x), it affects both the domain and the range. Let's break it down step by step:
Original Function: f(x)
Domain: The set of all possible input values for x in the function f(x).
Range: The set of all possible output values for f(x).
Reflected Function: -f(x)
Reflected Domain: The domain remains the same because reflecting over the x-axis does not change the x-coordinates. So, the reflected domain is the same as the original domain.
Reflected Range: The range is affected by the reflection. All the positive values in the original range become negative, and all the negative values become positive. If the original function had points (a, b), the reflected function will have points (a, -b). This essentially flips the original range values.
In summary:
Reflected Domain: Same as the original domain.
Reflected Range: The sign of each value in the original range is negated. For example, if the original function had a point (2, 3), the reflected function would have a point (2, -3).
The complete question is :
how does the reflection over the x-axis (-f(x)) affect the domain and range
A box of 42 chocolates contains milk and dark chocolates in the ratio of 3:4. How many chocolates of each type there are?
Answer:
18 Milk Chocolates: 24 dark chocolates
Step-by-step explanation:
The total number of chocolates are 42
So you have Milk: Dark, in the ratio 3:4
You do 3+4 which = 7
You then divide the total ratio outcome by the total number
So you do, 42/7 =6
You then do 6 and put this into the ratio
So you do, 3x6 and 4x6, which = 18 and 24
To check if your answers correct add the ratio outcomes
And If you add 18 and 24 together, you should get your beginning total of 42
Determine the probability of being dealt 3 tens from a standard deck of 52 cards when 3 cards are dealt
Answer:
A standard deck contains 52 cards with 4 suits and hence 4 tens. The probability of being dealt 3 tens is thus 4/52 x 3/51 x 2/50. The denominator decreases as one card is removed from the deck each time. If the removed card is replaced, there would be no need for the decrease in the denominator.
Step-by-step explanation:
I dont understand how to answer this. I tried to find the second derivative.
Answer:
(B) π/12 + π/6 k
Step-by-step explanation:
Points of inflection are where f"(x) = 0 and changes signs.
f(x) = cos²(3x)
f(x) = (cos(3x))²
f'(x) = 2 (cos(3x))¹ × -sin(3x) × 3
f'(x) = -6 sin(3x) cos(3x)
Using double angle formula:
f'(x) = -3 sin(6x)
f"(x) = -3 cos(6x) × 6
f"(x) = -18 cos(6x)
0 = -18 cos(6x)
0 = cos(6x)
6x = π/2 + 2πk or 6x = 3π/2 + 2πk
We can simplify this to:
6x = π/2 + πk
x = π/12 + π/6 k
Each gift bag has to contain atleast 15 candies and/or chocolate was total worth must not exceed 30 dollars. Each candy costs 1 dollar while each chocolate costs 3 dollars.
a. Write a system of inequalities that shows the various ways candies and chocolates can be combined in the bag.
b. Graph.
c. Write 3 possible combinations of candies & chocolates that can be placed in the bag.
Answer:
the answer is b
a first plus twice a second number is one. twice the first number plus the second totals fourteen.
Answer:
First Number = 9
Second Number = -4
Step-by-step explanation:
Let the first number be "x" and the 2nd number be "y"
First number PLUS twice 2nd is 1, so we can write:
x + 2 y = 1
Twice First number PLUS the 2nd number is 14, so we can write:
2x + y = 14
We can write:
y = 14 - 2x
We put this into 1st equation and solve for x:
x + 2y = 1
x + 2(14 - 2x) = 1
x + 28 - 4x = 1
-3x = -27
x = 9
And now y:
y = 14 - 2(x)
y = 14 -2(9)
y = 14 - 18
y = -4
First Number = 9
Second Number = -4
A coffee company surveyed 40 potential customers to see where they would
like the company's new organic coffee sold. Respondents were given the
following four locations and asked to choose as many as they liked: grocery
stores, drugstores, health food stores, and big box stores. The results are
summarized in the bar graph below, with the number of times each location
was chosen noted above the corresponding bar.
Where should we sell our organic coffee?
20
16
14
10
Grocery
Stores
Drugstores Health
Food Stores
Stores
What was the average number of locations chosen per potential customer?
Answer:
1.5
Step-by-step explanation:
The average number of locations chosen per potential customer in the coffee company's survey was 1.5.
Explanation:To calculate the average number of locations chosen per potential customer, we need to know the total number of preferences selected by all 40 potential customers. The numbers given for each location are: 20 for grocery stores, 16 for drugstores, 14 for health food stores, and 10 for big box stores.
Adding these together gives a total of 60 preferences for the four locations (20+16+14+10). This total is then divided by the 40 potential customers to produce the average. Therefore, the average number of locations chosen per potential customer is 1.5 (60 ÷ 40 = 1.5).
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Drag the cards to create a three -digit number that matches these rules
Note:not all cards will be used
Selection of the digits, In accordance with the rules results to
671
What is place value
Place value is the value of a digit based on its position within a numeral, especially in the base-10 (decimal) number system.
Each digit in a number has a place value, and the position of the digit determines its contribution to the overall value of the number.
The digit in the hundreds place (6) comes first. Next is the tens digit (7) then lastly the ones digit (1)
This results to 671
HELP!
Use the distributive property to match equivalent expressions.
Answer:
Step-by-step explanation:
1d
2a
3b
4c
The distributive property states that performing an operation on a sum or difference (either multiplication or division) is equivalent to performing that operation on each addend separately and then summing or subtracting the results. As an example, the statement 2*(3 + 4) can be rewritten as (2*3) + (2*4) to demonstrate the application of the distributive property.
Explanation:The distributive property in mathematics states that the multiplication of a number by a sum is equivalent to the sum after each addend has been multiplied by that number individually. For example, if we had the expression 2*(3 + 4), using the distributive property, we could rewrite it as (2*3) + (2*4) which is 6 + 8, and both expressions equal to 14 (because 2*(3 + 4)=2*7=14).
So to match equivalent expressions using the distributive property, you would have to identify expressions that follow this rule. For example:
3*(x + 5) is equivalent to 3*x + 3*57*(y - 2) is equivalent to 7*y - 7*2Learn more about Distributive Property here:https://brainly.com/question/6276874
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The percents of students who travel to school by car, bus, and bicycle are shown for a school of 825 students. 20% by car 48% by bus and 8% by bike. What would be the other method present of going to school?
Plz give clear answer
Answer:
24% could be going to school by walking
Step-by-step explanation:
By adding the given percentages of students traveling by car, bus, and bike, and subtracting from 100%, we find that 24% of students use other methods to travel to school.
Explanation:To find the other method of traveling to school not mentioned among car, bus, and bicycle, we first need to add up the provided percentages for these modes of transportation: 20% (car) + 48% (bus) + 8% (bike) = 76%. Since all the percentages must add up to 100%, we subtract the sum of these percentages from 100% to determine the remaining percentage. Therefore, 100% - 76% = 24%. So, 24% of students travel to school by other methods that are not specified (walking, skateboarding, etc.).
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If f (x) = -3x-5 and g(x) =4x-2 find (f+g)(x)
Answer:
C. (f + g)(x) = x - 7Step-by-step explanation:
[tex](f+g)(x)=f(x)+g(x)\\\\\text{Substitute}\ f(x)=-3x-5\ \text{and}\ g(x)=4x-2:\\\\(f+g)(x)=(-3x-5)+(4x-2)\qquad\text{combine like terms}\\\\(f+g)(x)=(-3x+4x)+(-5-2)\\\\(f+g)(x)=x-7[/tex]
Carolina paid $15.80 for 4 hamburgers.
What is the unit rate representing the cost of 1 hamburger? PLEASE HELP!!!!!!!!!!!!!!!1
Answer:
The cost of one hamburger is $3.95.
Step-by-step explanation:
15.80/4=3.95
Answer:
$ 3.95
Step-by-step explanation:
it is 3.95 because you divide 15.80 by 4
What is the sum of the polynomials?(8x^2-9x^2-4x)+(x^2-3y^2-7x)
Answer:
-11x-3y^2
Step-by-step explanation:
(8x^2-9x^2-4x)+(x^2-3y^2-7x)
-x^2-4x+x^2-3y^2-7x
-4x-7x-3y^2
-11x-3y^2
Answer:
-3y² - 11xStep-by-step explanation:
[tex](8x^2-9x^2-4x)+(x^2-3y^2-7x)\\\\=8x^2-9x^2-4x+x^2-3y^2-7x\qquad\text{combine like terms}\\\\=(8x^2-9x^2+x^2)-3y^2+(-4x-7x)\\\\=-3y^2-11x[/tex]
Solve for n: 5/6n+17=72
Answer:
n=66
Step-by-step explanation:
5/6n=72-17
5/6n=55
n=55/(5/6)
n=(55/1)(6/5)
n=(11*6)/1
n=66/1
n=66
Answer:
66
Step-by-step explanation:
Solve each equation using the quadratic formula x = =
a. x2 + 3x + 2 = 0
c. 2x2 + 5x = 1
b. 4x2 + 8x - 24 = 0
d. x2 + 14x + 33 = 0
Answer:
a: x=-2, x=-1
c:x=-2.68, x=0.186
b:x=-3.6, x=1.6
d:x=-11, x=-3
Solve this equation for x. Round your answer to the nearest hundredth. 1 = In(x + 4)
Answer:
-1.28
Step-by-step explanation:
1=ln(x+4)
ln(x+4)=1
e^ln(x+4)=e^1
x+4=e
x=e-4=-1.28
Need help with this math problem
The value of b is: 4
Step-by-step explanation:
The given polygon is a convex polygon with three sides. A polygon with three sides is called triangle. The sum of interior angles of a triangle is 180°
So,
[tex]Sum\ of\ Angles = 180\\(b+41)+(101)+(b+30) = 180\\b+41+101+b+30 = 180\\2b+172 = 180\\2b = 180-172\\2b = 8[/tex]
Dividing both sides by 2
[tex]\frac{2b}{2} = \frac{8}{2}\\b = 4[/tex]
Hence,
The value of b is: 4
Keywords: Polygons, Triangles
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Subtract 11b2 - 4b +7 from b2 + 8b -9
Answer:
2(4b-1)
Step-by-step explanation: