The value of a + b + c based on the product formula is 8.
How to calculate the value?From the information given, the product of the proper divisor is illustrated.
Based on the information, the addition of the symbols will be:
= a + b + c
= 3 + 3 + 2
= 8
In conclusion, the correct option is 8.
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Sandy has 10 roses, 2 daisies, and 8 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?
Answer: The greatest number of flowers that could be in a bouquet = 2
Step-by-step explanation:
Given: Sandy has 10 roses, 2 daisies, and 8 tulips.
Each bouquet has the same number of flowers and the same type of flower.
The greatest number of flowers that could be in a bouquet = GCD (10,2,8)
Since 10=2 x 5, 8 = 2 x 2 x 2
GCD (10,2,8) =2
Then, The greatest number of flowers that could be in a bouquet = 2
The scalene triangle ABC is translated 2 units to the right on a coordinate plane to form the scalene triangle DEF. The measure of segment AB=6 units, the measure of segment BC=5 units, the measure of segment CA=4 units, and m∠ABC=41°. Which of the following is a corresponding measure of triangle DEF?
Answer:
C: EF = 4 Units
Step-by-step explanation:
A surveyor at point S locates a tree 200 meters away, at point T. The surveyor turns 120 degrees counterclockwise and locates a rock formation 150 meters away, at point R. Find the distance between the tree and the rock formation.
This will require using the law of cosines.
Answer:
190
Step-by-step explanation:
The distance between the tree and the rock formation is approximately 304.14 meters.
To find the distance between the tree (point T) and the rock formation (point R), we can use the law of cosines. The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
Let's denote the unknown distance between the tree and the rock formation as 'd.'
We have a triangle with sides of lengths 200 meters (side ST), 150 meters (side SR), and d meters (side TR). The angle opposite side ST is 120 degrees.
According to the law of cosines:
d² = 200² + 150² - 2 * 200 * 150 * cos(120°)
Now, we can calculate this expression to find the value of d:
d² = 40000 + 22500 - 60000 * cos(120°)
Using the value of cos(120°) ≈ -0.5, we have:
d² = 40000 + 22500 - 60000 * (-0.5)
d² = 40000 + 22500 + 30000
d² = 92500
Taking the square root of both sides to solve for d:
d = √92500
d ≈ 304.14
Therefore, the distance between the tree and the rock formation is approximately 304.14 meters.
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A_____is a ratio that compares two measures
Answer:
rate
Step-by-step explanation:
A rate is a ratio that compares two different quantities that have different units of measure.
Your family is on the way to Disneyland! On the freeway you have driven for 120 minutes at a constant speed of 65 miles per hour before you stop for lunch. After lunch you get back on the freeway with a bit of traffic and drive at a constant speed of 40 miles per hour for 30 minutes before stopping for gas. How far did you drive in all? Use a ratio method.
Answer:
150 miles
Step-by-step explanation:
A(n)______ contains variables,numbers, and at least one operation.
Answer:
algebraic expression. An expression that contains at least one variable, at least one numbers and at least one operation.
Step-by-step explanation:
Answer:
expressions
Step-by-step explanation:
this is how a definition in a textbook would be written. they just put a blank in
Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and one 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink?
Complete Question
Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and five 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink
Answer:
The cost of
1 donut = x = $0.50
300ml carton of juice = y = $0.50
Step-by-step explanation:
Let the cost of
1 donut = x
300ml carton of juice = y
Max buys six donuts and a 300ml carton of juice for $3.50
6x + y = 3.50.....Equation 1
y = 3.50 - 6x
Susie buys four donuts and two 300ml carton of juice for $3.00
4x + 2y = 3...... Equation 2
Ben buys eight donuts and one 300ml carton of juice for $6.50
8x + 5y = 6.50......Equation 3
We substitute 3.50 - 6x for y in Equation 2
4x + 2y = 3...... Equation 2
4x + 2(3.50 - 6x) = 3
4x + 7 - 12x = 3
Collect like terms
4x - 12x = 3 - 7
-8x = -4
x = -4/-8
x = $0.50
Solving for y
y = 3.50 - 6x
y = 3.50 - 6(0.50)
y = 3.50 - 3.00
y = $0.50
Therefore:
The cost of
1 donut = x = $0.50
300ml carton of juice = y = $0.50
Olive has 600 fruit trees. Some of the trees are apple trees. The rest of the trees are pears trees and plum trees in the ratio of 7:5 there are 175 plum trees what is the fraction of apple trees
Answer: 3/10
Step-by-step explanation:
Since the rest of the trees are pears trees and plum trees in the ratio of 7:5 and there are 175 plum trees, the number of pear trees will be:
= 175 ÷ 5/7
= 175 × 7/5
= 245
Plum trees = 175
Pear trees = 245
Apple trees = 600 - (175 + 245)
= 600 - 420
= 180
Fraction of apple trees = Number of apple trees / Total number of trees
= 180/600
= 3/10
If the length of a basketball court is 32 meters and the width is 9 meters, what is the diagonal of the basketball court? Round to the nearest tenth, if needed.
A. 33.2
B. 23
C. 30.7
D. 41
Answer:
the answer is a
Step-by-step explanation:
A real estate agent earns 3% commission for the sale of a $575,000 home. What is the commission earned?
A computer store pays $150 for a computer. The percent of markup is 45%.
What is the markup of the computer? What is the selling price of the computer?
A video game that regularly sells for $55 is on sale for 25% off.
What is the discount? What is the sale price of the video game?
Step-by-step explanation:
For the real estate agent: To find percent of a number, you can just divide by 100 and times it by the percent number, in this case it is 3.
$575,000 / 100 = $5,750
$5750 * 3 = $17,250
The agent earns $17,250.
For the computer store: Use the percentage and multiply it by 0.45, or whatever the percentage is.
150 * 0.45 = 67.5. This is the markup.
Now add the original value back to the markup.
150 + 67.5 = 217.5. This is the selling price of the computer.
For the video game: Use the percentage and multiply it by 0.25, or whatever the percentage is.
$55 * 0.25 = $13.75. This is the discount.
Now subtract the discount from the first value.
$55 - $13.75 = $41.25. This is the sale price.
A fruit sekker buts 50 boxes of mangoes each containing 100 m mangoes at the rate of ₹1200 per box he sells each mangoes for ₹20 find his total profit and profit %
Answer:
₹40000, 66.6%
Step-by-step explanation:
Given data
Number of boxes= 50
Cost per box= ₹1200
Total cost= 50*1200= ₹60000
Total number of mangoes in all 50 boxes= 50*100= 5000 mangoes
Cost price per mago= 60000/5000= ₹12
Selling price per mango= ₹20
profit = selling price- cost price
profit= 20-12
proft= ₹8
Total profit = 8*5000
Total profit= ₹40000
%profit = 40000/60000*100
%profit= 0.666*100
%profit= 66.6%
Explain how I would use Distributive Property (GCF) to factor the following expression: 4m + 16
Answer:
4(m+4)
Step-by-step explanation:
4m+16
Rewriting
4*m + 4*4
Factor out 4
4(m+4)
Which angle in the graph is vertical to ABI?
the angle that is vertical to ABI is EBH
Solve: 1/3(9x + 12) = 15
Answer:
Do u still need help
Step-by-step explanation:
Answer:
x = 11/3
Step-by-step explanation:
1/3 (9x + 12) = 15
3x + 4 = 15
3x = 11
x = 11/3
can some one write a system for all of these? it would really help me rn :(
Answer: 36 and 56
Step-by-step explanation: the sum of two numbers translates into x + y = 92
If the difference would be 0 then the numbers would be equal.
Just choose which number you want to be bigger. If x is bigger then x - y = 20. If y is bigger then y - x = 20.
Let’s make x bigger so x-y=20. You can go two ways with this.
Either x=20+y because when passing one term from one side to the other you can change the sign.
Or y=x-20 because you pass “-y” to the right and it’s becomes “y” and you pass 20 to the left and it becomes -20.
Let’s go with y=x-20.
Now we replace this in the other relation:
X + Y = 92
X + (x-20) = 92
X + X - 20 = 92
2x - 20 = 92 ==> 2x = 92 + 20 ==> 2x = 112 ==> 112/2 ==> x=56
Y = x - 20 ==> y = 56 - 20 ==> y = 36.
If you choose x=20+y and replace x in the other relation you’ll find out y first and only after that you’ll find x.
Hope this helps☺️
Can someone help me thank you I have to show my work for these problems
Answer:
4. perimeter = 232cm
area = 1600cm²
5. perimeter = 30m
width = 8m
Step-by-step explanation:
Perimeter is the sum of the all the sides of a figure.
Area is given as length times breadth
message me for the rest of the answers and explanation
can you say it in order
Someone plz help me I will give brainliest:)
"If we leave now," she said. "We'll be right on time."
"Do you have dear Mr. Henshaw? Alice, ask the clerk."
Blvd.
add ness to strange making it strangeness
I think that the broken tv is the subject
Answer:
1) "If we leave now" she said, "We'll be right on time.
2) "Do you have deer, Mr. Henshaw?" Alice asked the clerk.
3) blvd.
4) Er (Strang-er)
5) Television
Step-by-step explanation:
Hope this Helps!!:D
En el puenlo de tamalemeque desean construir un parque de forma rectangular con un camino diagonal cuanto debe medir el camino si el parque deberia tener de 80 metros de largo y 60 de ancho como se puede determinar la medida,argumente su respuesta utilizando lo que sabe de matematicas
Answer:
El camino diagonal debe medir 100 metros de largo.
Step-by-step explanation:
Podemos encontrar el camino usando Pitágoras:
[tex] D^{2} = L^{2} + A^{2} [/tex]
En donde:
D: es el camino diagonal = hipotenusa
L: es el largo = 80 m = cateto
A: es el ancho = 60 m = cateto
Entonces, el camino diagonal es:
[tex] D = \sqrt{L^{2} + A^{2}} = \sqrt{(80 m)^{2} + (60 m)^{2}} = 100 m [/tex]
Por lo tanto, el camino diagonal debe medir 100 metros de largo.
Espero que te sea de utilidad!
What is the difference in finding the exact vs approximate volume?
Answer:
An exact number is one that has no uncertainty. An example is the number of tires on a car (exactly 4) or the number of days in a week (exactly 7). An approximate number is one that does have uncertainty. ... The number can be the result of a measurement.
Step-by-step explanation:
Jim mad 2/3 of a pound weighed pizza. He gave the pizza to 6 friends. What was the weight of pizza each friend got?
i am finding the volume of a shape, the area is 20mm and the length is 5cm what is the answer?
Answer:
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.So the volume of the cube having side 15 mm is 3375 cubic inches.
Different Ways to Find Volume
Solve for Volume by Space. All physical objects occupy space, and you can find the volume for some of them by measuring their physical dimensions. ...
Solve for Volume by Density and Mass. Density is defined as an object's mass per a given unit of volume. ...
Solve for Volume by Displacement.
Step-by-step explanation:
someone please help
Answer:
x = 4√3, or approximately 6.93
Step-by-step explanation:
This is a right triangle with hypotenuse 13 and side lengths x and 11. According to the Pythagorean Theorem, x^2 + 11^2 = 13^2 = 169, or
x^2 + 121 = 169, or
x^2 = 48.
x must be a positive quantity. Thus, x = +√48 = + √3·√16 = +4√3
Thus, x = 4√3, or approximately 6.93
Three friends are comparing their weekly paychecks. Donald discovers that he earned one-third of Michael's paycheque, and $80 less than Jacob's paycheque. Together, the three friends earned $2920 in one week. How much did each friend earn?
Answer: Michael's paycheque = $ 1704
Donald's paycheque = $ 568
Jacob's paycheque = $ 648
Step-by-step explanation:
Let x = Michael's paycheque
Donald's paycheque = [tex]\dfrac13x[/tex]
Jacob's paycheque = [tex]\dfrac 13 x+80[/tex]
Together, the three friends earned $2920 in one week.
[tex]\Rightarrow\ x+\dfrac13x+\dfrac13 x+80=2920\Rightarrow\ (\dfrac{3+1+1}{3})x=2920-80\\\\\Rightarrow\ \dfrac{5}{3}x=2840\\\\\Rightarrow\ x=2840\times\dfrac{3}{5}\\\\\Rightarrow\ x=1704[/tex]
Michael's paycheque = $ 1704
Donald's paycheque = [tex]\dfrac{1704}{3}=\$ 568[/tex]
Jacob's paycheque = $ 568+80 = $ 648
An arc is 70.7 meters long and is intercepted by a central angle 5pi/4 radians. Find the diameter of the circle
Answer:
36.008 or 36
Step-by-step explanation:
Use the equation for the length of any circular arc
s = r(radians)
s - length of a circular arc
r - radius
radians - radian measure of the central angle
Then, set-up the equation:
s = r(radians)
70.7m = r(5pi/4)
Get variable "r" on one side by multiplying both sides by 4/5pi, which should result in the following:
r = 70.7m x 4/5pi
then solve for r
r = 282.8/5pi = 18.004
The radius is half the diameter therefore just multiply the radius by 2
d = 18.004 x 2
= 36.008 or 36
The diameter of the circle is 36 meters.
What is an arc?The arc is a portion of the circumference of a circle.
We have been given that an arc is 70.7 meters long and is intercepted by a central angle of 5π/4 radians.
We have to determine the diameter of the circle
For the length of the circular arc, use the equation.
⇒ 70.7 m = R(5π/4)
Multiply both sides by 4/5π to get the variable "R" on one side, which should get the following:
⇒ R = 70.7 m × 4/5π
⇒ R = 282.8/5π
∵ π = 3.14
⇒ R = 282.8/5(3.14)
⇒ R = 18.004
Since the radius is equivalent to half the diameter, simply double the radius by 2.
⇒ D = 18.004 × 2
⇒ D = 36.008 ≈ 36
Hence, the diameter of the circle is 36 meters.
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Hayden reaches into his dresser and pulls out a red shirt, but does not like it and throws in onto the bed. What is the chance that the next shirt he pulls out of the dresser will be Purple?
A. 2/10
B. 4 in 10 chance
C. 4 in 9 chance
D. 1/9 chance
Answer:
how many of each color are in the dresser?
Step-by-step explanation:
What is Turtle divided by Kitten? YALL I NEED HELP ASAP ON THIS!!!!!!1
Answer:
rabbit!
Step-by-step explanation:
:-)
What is the value of x?
Enter your answer in the box.
x =
Two intersection lines. Angle formed at the top is labeled 3 x plus 50 degrees. Angle formed at the bottom is labeled 6 x minus 10 degrees.
Answer:
the anwser is (60-50)
Step-by-step explanation:
took the test
verify the segments are parallel
Step-by-step explanation:
I don't have a answer but try photo math app it might help you a lil
What is x- intercept of the equation 7x + 3y = 21
Answer:
no c xd estoy en séptimo no en otra cosa xd