Suppose consumers will purchase q units of a product at a price of StartFraction 200 Over q EndFraction plus 3 dollars per unit. What is the minimum number of units that must be sold in order that sales revenue be greater than $9000? The minimum number of units sold must be greater than nothing.
Tamera earned an A on 5/8 of her spelling tests.Of those spelling tests,she earned a perfect score on 1/5 of them.
On what fraction of tamera's total spelling tests did she earn a perfect score?
If Tamera took 32 spelling test,on how many did she earn a perfect score?
Answer:
1/8
4
Step-by-step explanation:
She got an A on 5/8 of all tests.
She got a perfect score on 1/5 of the 5/8.
1/5 * 5/8 = 5/40 = 1/8
She took a total of 32 tests.
1/8 * 32 = 4
Answer:
1/8
4
John is walking home with his younger brother, Don. Their home is on opposite corner of a rectangle lot with dimensions of 500 feet by 800 feet. John decides to walk along two sides of the lot, While don takes the diagonal path home. About how much farther does john walk than don?
The distance that John walk more than Don is 356.60 ft.
What is a rectangle?A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.
Given that John is walking home with his younger brother and their home is on opposite corner of a rectangle lot with dimensions of 500 feet by 800 feet.
Since John is walking on the sides, the lenght covered by John will be the sum of the sides.
Sum of the sides of the rectangle = 500 ft + 800 ft
Sum of the sides of the rectangle = 1300 ft
Further, Don is walkin on the diagonal, the lenght covered by Don will be the diagonal of the rectangle.
(Diagonal)² = (500 ft)² + (800 ft)²
(Diagonal)² = 250000 ft² + 640000 ft²
Diagonal² = 890000 ft²
Diagonal = 943.39811 ft
The distance that John walk more than Don is:
Distance = 1300 ft - 943.39811 ft = 356.60 ft
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how to measure the length in meters of a poster. explain
Jack decided to save 15% of his monthly allowance of $15.00. How much is he saving each month?
*show work*
Jack saving 2.25 $ each month
We have given that monthly allowance of jack is 15$
He decides to save 15% of his monthly allowances
We have to calculate the saving of each moth.
Therefore,
we have to find the 15% in decimal form,
What is the formula for finding the percentage in decimal form:
[tex]decimal form =\frac{x}{100}[/tex]
Where x is in %
Therefore,
15%=15/100=0.15
Jack want to save 0.15 from his monthly allowance of 15$
Therefore,
15(0.15)=2.25
Therefore,
Jack saving 2.25 $ each month.
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an acute angle is in a right triangle with cos 9/10. What is the value of sec?
Sam bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 38 cards left. How many cards did Sam start with?
Osvoldo has a goal of getting at least 30%, percent of his grams of carbohydrates each day from whole grains.
Today, he ate 220 grams of carbohydrates, and 5 grams were from whole grains.
Did Osvoldo meet his goal? Why?
yes/no Osvoldo ate (blank) grams of whole grains more/less than his goal.
explain please
No, Oswaldo did not meet his goal. He needed at least 66 grams of whole grains for his 220 grams of carbohydrates, but he only ate 55 grams, 11 grams less than required.
Let's check if Oswaldo met his goal of getting at least 30% of his carbohydrates from whole grains.
Calculate the percentage of whole grains :
Given:
- Total carbohydrates = 220 grams
- Whole grains = 55 grams
The percentage of carbohydrates from whole grains is calculated by:
[tex]\[ \text{Percentage} = \left( \frac{{\text{grams of whole grains}}}{{\text{total grams of carbohydrates}}} \right) \times 100. \][/tex]
Plugging in the values, we get:
[tex]\[ \left( \frac{{55}}{{220}} \right) \times 100 = 25\%. \][/tex]
Since the goal is at least 30%, but his actual percentage is only 25%, he did not meet his goal.
Calculate how much more whole grains he needed to meet his goal :
To get 30% of 220 grams, we need to calculate 30% of 220:
[tex]\[ 0.30 \times 220 = 66 \text{ grams}. \][/tex]
This means Oswaldo needed 66 grams of whole grains, but he only ate 55 grams.
The difference between what he needed and what he ate is:
[tex]\[ 66 - 55 = 11 \text{ grams}. \][/tex]
Thus, Oswaldo did not meet his goal, and he ate 11 grams less of whole grains than he needed to meet the goal.
The complete question is : Oswaldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 55 grams were from whole grains. Did Oswaldo meet his goal? Why? Yes No Oswaldo ate grams of whole grains more less than his goal.
Determine the decimal value of each signed binary number in the sign-magnitude form: (a) 10011001 (b) 01110100 (c) 10111111
Final answer:
To determine the decimal value of a signed binary number in sign-magnitude form, consider the sign and magnitude separately. (a) -102 (b) +116 (c) -64.
Explanation:
To determine the decimal value of a signed binary number in sign-magnitude form, you need to consider the sign and the magnitude separately.
(a) 10011001:
This number is negative in sign-magnitude form because the leftmost bit is 1. To find its magnitude, you invert the remaining bits (01100110) and convert it to decimal (102).
The final decimal value is -102.
(b) 01110100:
This number is positive in sign-magnitude form because the leftmost bit is 0. The magnitude is obtained by converting the bits (01110100) to decimal (116).
The final decimal value is +116.
(c) 10111111:
This number is negative in sign-magnitude form because the leftmost bit is 1. The magnitude is obtained by inverting the remaining bits (01000000) and converting it to decimal (64).
The final decimal value is -64.
(a) -25, (b) 116, (c) -63; sign bit denotes sign, remaining bits represent magnitude converted to decimal.
Let's go through each signed binary number in sign-magnitude form:
(a) 10011001:
Step 1: Determine the sign bit:
The leftmost bit, or the most significant bit (MSB), is the sign bit. In sign-magnitude representation, 1 denotes a negative number and 0 denotes a positive number. So, the sign bit here is 1, indicating a negative number.
Step 2: Convert the magnitude:
To find the magnitude, we ignore the sign bit and treat the remaining bits as a magnitude in binary form. So, the magnitude here is 0011001.
Step 3: Convert the magnitude to decimal:
The magnitude 0011001 in binary is equivalent to:
(1 * 2^4) + (1 * 2^3) + (0 * 2^2) + (0 * 2^1) + (1 * 2^0) = 16 + 8 + 1 = 25
Step 4: Apply the sign:
Since the sign bit is 1, indicating a negative number, we negate the magnitude we found in step 3. Therefore, the decimal value of 10011001 in sign-magnitude form is -25.
(b) 01110100:
Step 1: Determine the sign bit:
The leftmost bit is 0, indicating a positive number.
Step 2: Convert the magnitude:
The magnitude here is 1110100.
Step 3: Convert the magnitude to decimal:
The magnitude 1110100 in binary is equivalent to:
(1 * 2^6) + (1 * 2^5) + (1 * 2^4) + (0 * 2^3) + (1 * 2^2) + (0 * 2^1) + (0 * 2^0) = 64 + 32 + 16 + 4 = 116
Step 4: Apply the sign:
Since the sign bit is 0, indicating a positive number, the decimal value remains positive. Therefore, the decimal value of 01110100 in sign-magnitude form is 116.
(c) 10111111:
Step 1: Determine the sign bit:
The leftmost bit is 1, indicating a negative number.
Step 2: Convert the magnitude:
The magnitude here is 0111111.
Step 3: Convert the magnitude to decimal:
The magnitude 0111111 in binary is equivalent to:
(0 * 2^6) + (1 * 2^5) + (1 * 2^4) + (1 * 2^3) + (1 * 2^2) + (1 * 2^1) + (1 * 2^0) = 32 + 16 + 8 + 4 + 2 + 1 = 63
Step 4: Apply the sign:
Since the sign bit is 1, indicating a negative number, we negate the magnitude we found in step 3. Therefore, the decimal value of 10111111 in sign-magnitude form is -63.
So, the decimal values for each signed binary number in sign-magnitude form are:
(a) -25
(b) 116
(c) -63
The volume of a cones is 6 pie, if a cylinder has the same diameter and height as the cone what is it's volume?
by definition, empirical is equal to
number of successful trials/ total number of trials
Step-by-step explanation:
Find two solutions to each equation in the interval -90°<θ<270°
cos θ = 0.766
tan θ = -5
cot θ = 2
sin θ = -0.31
sec θ = (18/11)
csc θ = 6
Fritz attended band practice for 5/6 hour then went home and practice for 2/5 as long as band practice how many minutes did he practice at home
Answer:
20 minutes
Step-by-step explanation:
5/6 x 2/5= 10/30
10/30 x 60 minutes = 600/30
simplify
600/30 = 20 minutes
A state park is designed in a circular pattern as shown. A park ranger drives along the circular path from the ranger station to the nature center and then from the nature center to the petting zoo. How far does he drive to the nearest tenth of a mile?
A) 1.7 miles
B) 2.3 miles
C) 3.7 miles
D) 4.7 miles
Answer:B
Step-by-step explanation:
Given:Ranger Station to Nature Center = 90°Nature Center to petting zoo = 40°Petting Zoo to Tennis Court = 120°Tennis Court to Pool = 65°Pool to Ranger Station = 45°radius = 1 milearc length = 2πr angle/360°Ranger station to nature center.arc length = 2 * 3.14 * 1 mile * 90°/360°arc length = 2 * 3.14 * 1 mile * 0.25arc length = 1.57 milesNature center to Petting Zooarc length = 2 * 3.14 * 1 mile * 40°/360°arc length = 2 * 3.14 * 1 mile * 0.11arc length = 0.70 miles1.57 miles + 0.70 miles = 2.27 miles or 2.3 miles CHOICE B
the stopping distance of an automobile is directly proportional to the square of its speed v. a car required 90 feet to stop when its speed was 70 miles per hour. find a mathematical model that gives the stopping distance d in terms of its speed v. Estimate the stopping distance if the brakes are applied when the car is traveling at 71 miles per hour.
The estimated stopping distance when the car is traveling at [tex]71\ miles\ per\ hour[/tex] is approximately [tex]{91.84}\ feet[/tex].
To find the mathematical model that relates the stopping distance [tex]\( d \)[/tex] to the speed [tex]\( v \)[/tex], given that stopping distance is directly proportional to the square of the speed, we can write:
[tex]\[ d = k v^2 \][/tex]
where [tex]\( k \)[/tex] is the proportionality constant.
Given that the car required [tex]90\ feet[/tex] to stop when its speed was[tex]70\ miles \ per\ hour[/tex], we can use this information to find [tex]\( k \)[/tex]
Convert the speed from miles per hour to feet per second (since [tex]1 \ mile = 5280 \ feet\ and\ 1\ hour = 3600 \ seconds[/tex]):
[tex]\[ 70 \text{ mph} = 70 \times \frac{5280}{3600} \text{ fps} = 102.67 \text{ fps} \][/tex]
Now, substitute [tex]\( v = 102.67 \) fps[/tex] and [tex]\( d = 90 \) feet[/tex] into the equation:
[tex]\[ 90 = k \times (102.67)^2 \][/tex]
Calculate [tex]\( (102.67)^2 \)[/tex]
[tex]\[ (102.67)^2 = 10545.84 \][/tex]
[tex]\[ 90 = k \times 10545.84 \][/tex]
Solve for [tex]\( k \)[/tex]
[tex]\[ k = \frac{90}{10545.84} = 0.00853 \][/tex]
Now, substitute [tex]\( k \)[/tex] back into the model:
[tex]\[ d = 0.00853 v^2 \][/tex]
Estimate the Stopping Distance at [tex]71 \ miles\ per\ hour[/tex]
Convert [tex]71 \ miles\ per\ hour[/tex] to feet per second:
[tex]\[ 71 \text{ mph} = 71 \times \frac{5280}{3600} \text{ fps} = 103.87 \text{ fps} \][/tex]
Now, calculate the stopping distance [tex]\( d \)[/tex] at this speed:
[tex]\[ d = 0.00853 \times (103.87)^2 \][/tex]
[tex]\[ d = 0.00853 \times 10781.14 \][/tex]
[tex]\[ d = 91.84 \][/tex]
find the sum of the interior angle measures of 18-gon
The sum of the interior angle measures of an 18-gon is calculated using the formula (n-2) imes 180 degrees, which equals 2880 degrees.
The sum of the interior angles of an n-gon (a polygon with n sides) can be found using the formula (n-2) imes 180 degrees. For an 18-gon, we can substitute 18 for n in the formula to calculate the sum of interior angles.
Sum of interior angles = (18-2) imes 180
Sum of interior angles = 16 imes 180
Sum of interior angles = 2880 degrees
Therefore, the sum of the interior angle measures of an 18-gon is 2880 degrees.
A catering company’s recipe for salad uses a ratio of 2 cups of dressing to 12 cups of vegetables. (a) Mrs. Roberts simplified this ratio to 2:6. Explain/show how you know she is incorrect. Can you tell where she might have made a mistake while simplifying?
A catering company’s recipe for salad uses a ratio of 2 cups of dressing to 12 cups of vegetables. (a) Mrs. Roberts simplified this ratio to 2:6. Explain/show how you know she is incorrect. Can you tell where she might have made a mistake while simplifying?
Solution:
So, A catering company’s recipe for salad uses a ratio of 2 cups of dressing to 12 cups of vegetables.
Ratio of dressing:vegetables=2:12.
Let us divide 2 and 12 by 2
Ratio of dressing: vegetables= [tex] \frac{2}{2} [/tex] : [tex] \frac{12}{2} [/tex]
So, finally we get ratio=1:6 and not 2:6. The mistake is in this step while simplifying.
So, Simplified Ratio of dressing:vegetables=1:6.
A house on the market was valued at $314,000. After several years, the value increased by 17%. By how much did the house’s value increase in dollars? What is the current value of the house ?
it takes 45 minutes for 4 people to paint 5 walls. How many minutes does it take for 6 people to paint 4 walls?
What is the sales tax of 5% on a purchase of $7.82?
Vanessa earns a base salary of \$400.00$400.00dollar sign, 400, point, 00 every week with an additional 5\%5%5, percent commission on everything she sells. Vanessa sold \$1650.00$1650.00dollar sign, 1650, point, 00 worth of items last week.
[tex]\\ \text{Given that the base salary of Vanessa is }\$400.00 \text{ every week}\\ \\ \text{And she gets an additional }5\% \text{ commission on everything she sells}.\\ \\ \text{Given that last week Vanessa sold }\$1650.00 \text{ worth of items,}\\ \text{so her commission last week was}\\ \\ =5\% \text{ of 1650}\\ \\ =0.05\times 1650\\ \\ =\$ 82.5\\ \\ \text{hence the total salary of Vanessa for last week}=400+82.5=\$482.5[/tex]
Hence the total salary of Vanessa last week was $482.5
1/4 of 24 on tape diagram
Which of the following are miscellaneous taxes? Gasoline tax License plate fees Hunting license fees Inheritance tax Marriage license fees
Its all five of them
Which of the following is an unbiased question?
Which do you prefer, a nice, luxury Audi or a basic Ford?
Would you rather take a vacation to the mountains or to the ocean?
Which would you prefer, a chicken sandwich or a juicy, tasty burger?
Most people say they would prefer a new governor over the current one, what do you think?
answer plz I reallllllly need it it is proportion
Which equation can pair with 3x + 4y = 8 to create a consistent and independent system?
Solve for Y please!!!
THIS IS A 3-STEP QUESTION PLEASE ASWER ACCORDINGLY! THANKS !!!
3 sisters are each 2 years apart in age. The youngest sister is Emily, the middle sister is Samantha and the oldest sister is Lauren. Together their combined ages are 42. How old is each sister?
a. Define the variable(s).
b. Write an equation for this situation using one variable.
c. Solve the equation for the ages of the 3 sisters.
Explain how to write thirteen divided by thirty-three as a divison expression AND as a fraction!
Which of the side lengths could form a triangle? A) 2 cm, 2 cm, 4 cm B) 3 cm, 5 cm, 10 cm C) 3 cm, 4 cm, 5 cm D) 4 cm, 8 cm, 15 cm Eliminate
Answer: The correct option is (C) 3 cm, 4 cm, 5 cm.
Step-by-step explanation: We are given to select the correct side lengths that could form a triangle.
We know that
the sum of the lengths of any two sides of a triangle is always greater than the third side.
That is, if a, b and c represents the lengths of three sides of a triangle, then we must have
[tex]a+b>c,~~b+c>a,~~c+a>b.[/tex]
Option (A) is
a = 2 cm, b = 2 cm, c = 4 cm.
We have
[tex]a+b=2+2=4=c~~~\Rightarrow a+b=c.[/tex]
Hence, this option is NOT correct.
Option (B) is
a = 3 cm, b = 5 cm, c = 10 cm.
We have
[tex]a+b=3+5=8<10=c~~~\Rightarrow a+b<c.[/tex]
So, this option is NOT correct.
Option (C) is
a = 3 cm, b = 4 cm, c = 5 cm.
We have
[tex]a+b=3+4=7>5=c~~~\Rightarrow a+b>c,\\\\b+c=4+5=9>3=a~~~\Rightarrow b+c>a,\\\\c+a=5+3=8>4=b~~~\Rightarrow c+a>b.[/tex]
So, this option is CORRECT.
Option (D) is
a = 4 cm, b = 8 cm, c = 15 cm.
We have
[tex]a+b=4+8=12<15=c~~~\Rightarrow a+b<c.[/tex]
So, this option is NOT correct.
Thus, (C) is the correct option.
Answer:
Option C.
Step-by-step explanation:
To form a triangle we should always remember that a triangle is possible when sum of two smaller sides of the triangle is greater than the largest side.
If smaller sides are a, b and largest side is c
Then a + b > c
Now we take each option given
Option A) 2 cm, 2 cm, 4 cm
2 + 2 = 4 which equal to the largest side so to form a triangle is not possible.
Option B) 3 cm, 5 cm, 10 cm
3 + 5 = 8 < 10 cm
Here sum of smaller sides is less than to the largest side so triangle will not be formed.
Option C. 3 cm, 4 cm, 5 cm
3 + 4 = 7 > 5 cm
Therefore triangle can be formed.
Option D) 4 cm, 8 cm, 15 cm
4 + 8 = 12 < 15 cm
so triangle can not be formed.
Option C is the correct option.