Answer: 90 millimeters
Step-by-step explanation: To convert centimeters to millimeters, multiply centimeters by 10. 9x10=90.
Elijah has 5 United states coins ranging in value from $0.01 to $0.25. What is the least amount of money Elijah can have if he has no more than 2 coins alike
Answer:
2 pennies 2 nickels and a dime 22 cents
radius CS bisects chord AG what is measure CGF?
Answer:
m∠CGF=25°
Step-by-step explanation:
we know that
In a circle, a radius that bisects a chord is perpendicular to the chord
so
CS is perpendicular to AC
The triangle GFC is a right triangle
Remember that the sum of the measures of the interior angles in a triangle must be equal to 180 degrees
m∠CGF+m∠GFC+m∠GCF=180°
we have
m∠GFC=90°
m∠GCF=65°
substitute
m∠CGF+90°+65°=180°
m∠CGF+155°=180°
m∠CGF=180°-155°
m∠CGF=25°
Which of the following is equivalent to 18 -sqrt -25?
[tex]\bf 18-\sqrt{-25}\implies 18-\sqrt{-1\cdot 25}\implies 18-\sqrt{-1}\cdot \sqrt{25}\implies 18-5i[/tex]
Answer: 18-5i
Step-by-step explanation:
The top of the lid to a small container is in the shape of a square with a side length of 6 centimeters, as shown. What is the area of
the top of the lid?
6 cm
Use the formula for the area of a square, A - 52, where A represents the area and s represents the side length.
12 cm²
24 cm²
36 cm²
72 cm²
Answer:
c.)36
Step-by-step explanation:
Answer:
36 cm
Step-by-step explanation:
The area of a square is length times width. Since it is a square all sides are equal so you multiply 6×6.
Formula: A=s^2 or A=s×s
The lengths of the sides of a quadrilateral are in extended ratio 1:1:2:3. the perimeter is 56 feet what are the lengths of the sides
Length of sides of quadrilateral are 8 feet, 8 feet, 16 feet, 24 feet
Solution:Given that length of the sides of a quadrilateral are in extended ratio 1:1:2:3
Perimeter of the quadrilateral = 56 feet
Need to determine length of the sides
As length of the sides of a quadrilateral are in extended ration 1: 1: 2: 3
lets assume that four sides of rectangle = 1x, 1x, 2x and 3x
Perimeter of quadrilateral = sum of length of four sides
=> Perimeter of quadrilateral = 1x + 1x + 2x + 3x = 7x
As given that perimeter = 56 feet
=> 56 = 7x
x = 8
Then the length of sides are:
1x = 1(8) = 8 feet
1x = 1(8) = 8 feet
2x = 2(8) = 16 feet
3x = 3(8) = 24 feet
Mrs.Young’s recipe for haggis calls for 2 1/4 cups of stock and serves 12. How much stock will she need to make 4 servings of haggis?
Answer:
byzantine style of architecture is an example of haggis sophias style
Step-by-step explanation:
Final answer:
To find out how much stock is needed for 4 servings of Mrs. Young's haggis recipe, we use proportional relationship calculations to arrive at 3/4 cup of stock.
Explanation:
The student needs to determine how much stock Mrs. Young will need for 4 servings of her haggis recipe if the original recipe, which serves 12, calls for 2 1/4 cups of stock. To solve this, a proportional relationship can be used, as follows:
Multiply the number of servings in the original recipe by the amount of stock to find the stock per serving.
Divide the original number of servings (12) from the result to find the stock needed for one serving.
Multiply the amount of stock for one serving by the new number of servings (4) to determine the total stock needed.
The calculation would be: (2 1/4 cups ÷ 12 servings) × 4 servings. Since 2 1/4 cups is equal to 9/4 cups, the arithmetic gives us: (9/4 cups ÷ 12) × 4 = 3/4 cup of stock needed for 4 servings.
A baker’s dozen (13) of cookies is on sale for $2.08.
Complete Question
A baker's dozen (13) of cookies is on sale for $2.08. What is the cost of an individual cookie?
Answer:
The cost of an individual cookie is $0.16
Step-by-step explanation:
Given
Specifically, it was stated that the baker's dozen is 13 pieces
Hence. A dozen cookies = 13 cookies
Price of a dozen cookies = $2.08
In other words, the price of 13 cookies is $2.08
To get the cost of an individual cookie, we have to divide the price of a dozen cookies by the number of cookies. This is calculated as follows:
[tex]Cost of Cookies = \frac{Price of Cookies}{Number of Cookies}[/tex]
By Substituting the right values,
[tex]Cost of Cookies = \frac{Price of Cookies}{Number of Cookies}[/tex]
becomes
[tex]Cost of Cookies = \frac{2.08}{13}[/tex]
[tex]Cost of Cookies = 0.16[/tex]
Hence, the cost of an individual cookie is $0.16
At which values of x does the graph of the function F(x) have a vertical asymptote? Check all that apply f(x)=1/(x+1)(x+2)
Answer:
x=-1 and x=-2
Step-by-step explanation:
Given
[tex]f(x)=\dfrac{1}{(x+1)(x+2)}[/tex]
This function is undefined when the denominator becomes 0. Find values of x for which the denominator is 0:
[tex](x+1)(x+2)=0\\ \\x+1=0\ \text{or}\ x+2=0\\ \\x=-1\ \text{or}\ x=-2[/tex]
Thus, the lines with equations [tex]x=-1[/tex] and [tex]x=-2[/tex] represent vertical asymptotes (see attached graph)
Answer: -1 and -2
Step-by-step explanation:
Samantha cut 6 3/4 yd of yarn into
3 equal pieces. Explain how she could use mental
math to find the length of each piece.
Answer:
27/12
Step-by-step explanation:
6 3/4=27/4
(27/4)/3
(27/4)(1/3)=27/12
For trapezoid ABCD, E and F are midpoints of the legs. Let GH be the median of ABFE. Find GH.
Answer:
Option 4 : 19
Step-by-step explanation:
For trapezoid ABCD : AB = 16 and CD = 28
E and F are midpoints of the legs
So, EF = (AB + CD)/2 = (16+28)/2 = 44/2 = 22
GH be the median of ABFE
So, GH = (AB + EF)/2 = (16+22)/2 = 38/2 = 19
what the range set of blank means
Answer:
The range of a set of data is the difference between the highest and lowest values in the set
Step-by-step explanation:
Answer:
point blank range is the range at which you don’t need to aim high or low to hit your aiming point. Maximum Point Blank Range (MPBR) is simply the farthest end of that distance.
Step-by-step explanation:
DOES ANYONE KNOW HOW TO DO THIS??????????? NEED HELP QUICK!!!!!!!!
Answer:
1. Figure 4
2. Figure 2
3. Figure 4
Answer:
1. Figure 2
2. Figure 3
3. Figure 1
Step-by-step explanation:
Brainlest?
) Ava walks from her apartment to the train station, which is 25 blocks away. She has walked
15 blocks so far. Ava wants to know what percent of the distance to the train station she
has walked so far.
To find out what percent of the distance Ava has walked so far, we can set up a proportion and solve for x. Ava has walked 60% of the distance to the train station.
Explanation:To find out what percent of the distance Ava has walked so far, we can set up the following proportion:
15/25 = x/100
Where 15 is the distance Ava has walked, 25 is the total distance to the train station, x is the unknown percentage, and 100 represents 100%. To solve for x, we can cross multiply and divide:
15 * 100 = 25 * x
1500 = 25 * x
Dividing both sides by 25, we get:
x = 1500/25
x = 60
Therefore, Ava has walked 60% of the distance to the train station.
Final answer:
To find the percent of the distance Ava has walked so far to the train station, divide the distance she has walked by the total distance and multiply by 100. In this case, Ava has walked 15 blocks out of 25 blocks, so she has walked 60% of the distance.
Explanation:
To find the percent of the distance Ava has walked so far, you can divide the distance she has walked by the total distance to the train station and then multiply by 100.
In this case, Ava has walked 15 blocks out of 25 blocks to the train station. So, the percent of the distance she has walked so far can be calculated as:
Percentage = (15/25) * 100 = 60%
Please Help !!!!!!!!!!!!!!!!
Answer:
the first one should be 2 because
if you put 2 it would look like this:
7x + 2 = 7x + 2
and if you answer it or try to simplify
7x + 2 = 7x + 2 or 7x + 2 = 7x + 2
- 2 - 2 -7x -7x
7x = 7x 2 = 2
/7 /7
x = x
and for the second one could be any number but 2
to prove this lets choose 5
and now to solve:
7x + 2 = 7x + 5 or 7x + 2 = 7x + 5
-7x -7x - 2 - 2
2 ≠ 5 7x = 7x + 3
-7x -7x
0 ≠ 3
Sylvia ran 3km 290m in the morning then she ran some more in the evening if she ran a total of 10km how far did Sylvia run in the evening
Answer:
She ran 6.71km in the evening
Step-by-step explanation:
3km 290m = 3.29km
10 - 3.29 = 6.71km
Sylvia ran 6 km 710 m in the evening.
Given that, Sylvia ran a total of 10 km and 3 km 290 m in the morning.
We need to find the number of kilometres she ran in the evening.
What to subtract the two differnt units?When we are dealing with two numbers that are expressed in units, if the units are the same, we can add or subtract normally. However, if the units are different, then we can add or subtract only if the units can be converted into the same units.
Now, 3 km 290 m can be written as 3.29 km
So the distance ran in the evening =10-3.29
=6.71 km
=6 km 710 m
Therefore, Sylvia ran 6 km 710 m in the evening.
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helpppppp me plssss
Answer: B
Step-by-step explanation:
Slope = rise/run (aka change in y/change in x)
Slope = (-9-(-9.75))/(-4-(-1)) = 0.75/-3 = -1/4
A computer and printer cost a total of $1028. The cost of the computer is three times the cost of the printer. Find the cost of each item.
Answer:
Printer: $257, Computer: $771
Step-by-step explanation:
First you want to make a part to part diagram. It sounds stupid at first but trust me it works, We assume the both have the same amount. Now we draw 3 boxes for printer because it is 3 times as much. Now we have 4 boxes. divide 1028 by 4 and get 257. That is the amount for each box. You now know the printer is 257 dollars. Now multiply that by 3 to find cost of printer. 257x3=771.
Now you know the computer cost 771 dollars. You can check your work by adding them up. Hope this helped!!!!
Printer | []
Computer| [] [] []
Increase 1/2kg by 250g
One kilogram is made of 1000 grams. So, 1/2kg is made of 500 grams. If we add 250 grams, we have 750 grams, or 0.75kg.
To increase 1/2 kg by 250g, add the two values is 750g.
In mathematics, we often encounter situations where we need to perform operations with different units of measurement. In this case, you want to increase 1/2 kg by 250g. The first step is to convert both quantities to a common unit to facilitate the addition.
Step 1: Convert 1/2 kg to grams
We know that 1 kg is equal to 1000 grams (1 kg = 1000g). To find out how many grams are in 1/2 kg, we multiply 1/2 by 1000:
1/2 kg * 1000g/kg = 500g.
So, 1/2 kg is equivalent to 500g.
Step 2: Perform the addition
Now, we have both quantities in the same unit (grams). The addition becomes straightforward:
500g + 250g = 750g.
Thus, when you increase 1/2 kg by 250g, the result is 750 grams.
In summary, to add quantities with different units, it's crucial to convert them into the same unit before performing the operation. Here, we converted kilograms to grams and then added the values to get the final result of 750g.
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onsider the function f(x)=−2/3x+2 . What is f(1/2) ?
Answer:5/3
Step-by-step explanation: plug in 1/2 for x
Answer
ITS A (–∞, –3)
Step-by-step explanation:
Antonia participated in a run-a-thon and raised $265 for her school. She received $25 in donations and an additional $8 for every lap she ran. How many laps did Antonia run?
Answer:
30
Step-by-step explanation:
How many roots can a quadratic equation have
Answer:
2 roots, 1 root, or no roots
Step-by-step explanation:
There is a maximum of two roots
If the maximum or minimum is on the x-axis there is 1 repeated root
The roots are imaginary if it does not touch the x-axis
Step-by-step explanation:
It all depends on the discriminants sign.
The quadratic equation:
[tex]ax^2+bx+c=0[/tex]
The discriminant:
[tex]\Delta=b^2-4ac[/tex]
If Δ < 0, then the equation has no real solution
If Δ = 0, then the equation has one solution [tex]x=\dfrac{-b}{2a}[/tex]
If Δ > 0, then the equation has two different solution
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Complete the solution of the equation. Find
the value of y when x equals -8.
7x - 2y = -52
Enter the correct answer,
Answer:
y = -2
Step-by-step explanation:
to do this, you have to plug in -8 for x
7(-8) - 2y = -52
-56 - 2y = -52
+56 +56
-2y = 4
/-2 /-2
y = -2
find the answer to this problem 15/16 - -3 / 16
Answer:
The answer would be 18/16 or 1 1/8.
The royal fruit company produces two type of fruit drinks. The first type is 70% pure fruit juice , and the second type is 95% pure fruit juice. The company is attempting to produce a fruit drink that contains 80% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 110 pints of a mixture that is 80% pure fruit juice
Answer:
66 pints of 70% pure fruit juice and 44 pints of 95% pure fruit juice must be used.
Step-by-step explanation:
Let
x ----> pints of pure fruit juice at 70%
y ----> pints of pure fruit juice at 95%
we know that
[tex]x+y=110[/tex] ----> [tex]x=110-y[/tex] ----> equation A
Remember that
[tex]70\%=70/100=0.70[/tex]
[tex]95\%=95/100=0.95[/tex]
[tex]80\%=80/100=0.80[/tex]
so
[tex]0.70x+0.95y=0.80(110)[/tex] ----> equation B
Solve the system by substitution
substitute equation A in equation B
[tex]0.70(110-y)+0.95y=0.80(110)[/tex]
solve for y
[tex]77-0.70y+0.95y=88[/tex]
[tex]0.25y=88-77[/tex]
[tex]0.25y=11[/tex]
[tex]y=44[/tex]
Find the value of x
[tex]x=110-y[/tex] ---> [tex]x=110-44=66[/tex]
therefore
66 pints of 70% pure fruit juice and 44 pints of 95% pure fruit juice must be used.
Which expression shows 56x+40y−48z written as a product of the greatest common factor and one other factor?
A
8(7x+5y−6z)
B
8(7x+5y+6z)
C
8x(7+5y−6z)
D
4(14x+10y−12z)
The expression 56x+40y−48z can be rewritten as a product of the greatest common factor and one other factor, which is 8(7x+5y−6z). Therefore, the correct answer is A.
Explanation:The expression 56x+40y−48z can be factored by identifying the greatest common factor (GCF). In this case, the GCF of 56, 40, and 48 is 8. Therefore, you divide each term in the expression by the GCF which will give you 7x+5y-6z. Hence, the expression can be rewritten as a product of the GCF and one other factor, which is 8(7x+5y−6z). So, the correct answer is A - 8(7x+5y−6z).
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The table shows the gallons of water in a pool over time.
A two column table with six rows. The first column, Time in minutes, has the entries, 0, 1, 2, 3, 4, 5. The second column, Water in Pool in gallons, has the entries, 50, 44, 38, 32, 26, 20.
Choose the term that describes the slope of the line of a graph representing the data in the table.
The slope of a line graphed to represent the volume of water in a pool over time would be described as .
Answer:
negative
Step-by-step explanation:
The slope of a line graphed to represent the volume of water in a pool over time will be 6 and the equation of the line representing the table
y = - 6x + 50
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have a table as given in the question as follows -
Time (in minutes) Water (in gallons)
0 50
1 44
2 38
3 32
4 26
5 20
We can write the slope of the line as follows -
The slope of the line will be -
m = (y₂ - y₁)/(x₂ - x₁)
m = (44 - 50)/(1 - 0)
m = -6
At [x] = 0, the [y] coordinate is 50. Therefore, the equation of the line representing the table -
y = - 6x + 50
Refer to the graph attached.
Therefore, the slope of a line graphed to represent the volume of water in a pool over time will be 6 and the equation of the line representing the table y = - 6x + 50
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Renee is playing a game online. If she gets a total of 25 points, she will have a new
high score. She currently has -5 points. What is the difference
score of 25 points and the number of points she currently has?
Answer:
20 points
Step-by-step explanation:
key words: difference
Take the amount of points she has and subtract what she has
25-5
The product of a whole number and a decimal number is a whole number
True or False?
Answer:
true
Step-by-step explanation:
need some help with this question : When driving to their family reunion, River's mom drove 10 miles at a rate of x mph and then 25 miles at a rate of x + 10 mph . The total driving time was 45 minutes. What were the two driving speeds at which River's mom drove?
Answer:
The speed of River's mom drove for 10 miles distance is 0.234 mph
The speed of River's mom drove for 25 miles is 10.234 mph
Step-by-step explanation:
Given as :
The first distance cover by River's mom = 10 miles
The rate of speed = x mph
The second distance cover by river's mom = 25 miles
The rate of speed = x + 10 mph
The total driving time = 45 min
Now, According to question
Time = [tex]\dfrac{\textrm Distance}{\textrm speed}[/tex]
So, 45 = [tex]\dfrac{10}{x}[/tex] + [tex]\dfrac{25}{x + 10}[/tex]
Or, 9 = [tex]\dfrac{2}{x}[/tex] + [tex]\dfrac{5}{x + 10}[/tex]
Or, 9 × x × ( x + 10 ) = 2 × ( x + 10 ) + 5 x
Or, 9 x² + 90 x = 2 x + 20 + 5 x
Or, 9 x² + 90 x = 7 x + 20
Or, 9 x² + 90 x - 7 x - 20 = 0
Or, 9 x² + 83 x - 20 = 0
Solving this quadratic equation
x = [tex]\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}[/tex]
Or, x = [tex]\frac{-83\pm \sqrt{83^{2}-4\times 9\times (-20)}}{2\times 9}[/tex]
Or, x = [tex]\frac{-83\pm \sqrt{7609}}{18}[/tex]
∴ x = [tex]\frac{-83+87.22}{18}[/tex] , tex]\frac{-83-87.22}{18}[/tex]
I.e x = 0.234 , - 9.4567
We consider x = 0.234
So, The speed for 10 miles distance = x = 0.234 mph
and The speed of 25 miles = x + 10 = 0.234 + 10 = 10.234 mph
Hence The speed of River's mom drove for 10 miles distance is 0.234 mph
and The speed of River's mom drove for 25 miles is 10.234 mph Answer
Final answer:
To find the two driving speeds, use the distance formula and set up two equations. Simplify the equations to find the speeds.
Explanation:
To find the two driving speeds at which River's mom drove, we can use the formula distance = speed x time. We know that the total driving time was 45 minutes. We can set up two equations using the given information:
10 = x ⋅ (45/60)
25 = (x + 10) ⋅ (45/60)
Simplifying the equations, we get:
x = 20 mph
x + 10 = 30 mph
Therefore, River's mom drove at speeds of 20 mph and 30 mph.
16 factory workers made 40 pieces in a certain amount of time. How many workers are needed to make (1) 20, (2)25 and (3)100 pieces in the same amount of time, assuming each worker works at the same rate?
1. 40 units___16 workers
20 units___x= 8 workers
(20*16)/40=8
2. 40 units___16 workers
25 units___x= 10 workers
(25*16)/40=10
3. 40 units___16 workers
100 units___x= 40 workers
(100*16)/40=40
Step-by-step explanation:
1. 40 units: 16 workers 2. 40 units: 16 workers
20 units: 8 workers 25 units: 10 workers
(20 x 16) /40= 8 workers (25 x 16) /40= 10 workers
3. 40 units: 16 workers
100 units: 40 workers
(100 x 16) / 40= 40 workers
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