b) A clothing store sells T-shirts in only three colours: red, blue and green.The colours are in the ratio of 6 to 8 to 10. If the store has 40 blue T-shirts,how many T-shirts does it have altogether?

Q: a. The ratio of boys to girls in a class is 4 to 3. What is the ratio of girls to all the students…

A: (a) The ration of boys to girl in a class is 4:3 Suppose that the number of boys in class = 4x And…

Q: A student argues that in the following figure, triangles ABC and DBE are similar because DE divides…

A: We have prove that  triangles ABC and DBE are similar because DE divides the sides proportionally.…

Q: 1) The formulas for three paint colors are as follows Regular purple: 2 quarts+4 quarts red. Leaf…

A: If 1 unit of color1 requires x amount of another color2.Then y units of color1 requires xy amount of…

Q: 13 Assume that the number of sides in the base of a pyramid is n. Generalize the results found in…

A: Given that Number of side in the base of Pyramid is n

Q: 5. AVWX = AXTU W T. V. ZWXV = ?

A:

Q: a. The ratio of boys to girls in a class is 6 to 5. What is the ratio of boys to all he Studens m…

A: We can use the concept of ratio.

Q: At a swimming pool the ratio of those wearing sunscreen to those not wearing sunscreen was 7 to 5.…

A: The ration of people who wears sunscreen to those who are not is: Number of people wears…

Q: 1. If the ratio of the ages of Kissi and Esinam is 3:5 and that of Esinam and Lariba is 3:5 and the…

A:

Q: If b4 MN, bC = M, and bº = N, what is the relationship %3D among A, C, and D?

A: bA=MN , bC=M and bD=N

Q: A project team of 2 to 5 people is being formed from a staff of 15, How many such teams are…

A:

Q: Answer each of the following regarding the English alphabet. a. Determine the ratio of vowels to…

A: We will find the answers to all the parts as following .

Q: 4 to 15 Dad bought a box of apples to share with the family. He gave Steve, 30% to Jan and…

A: Given query is to find the number of apple.

Q: The ratio of boys to girls in the class was 3 to 2. If there were 12 boys, how many girls were…

A: A ratio is used to compare two quantities. The ratio will be a  simpler form of factorable fraction.…

Q: If angle A and angle B are complementary, what is the sum of their measures?

A: There are two types of angles complementary and supplementary.

Q: 4) golve the luP : ty"-24'+ty = t Chne 'a ) yro) = |

A: Solution: given, ty''-2y'+ty=t  y(0)=1, y'(0)=0 it is a non homogeneous equation so solution will be…

Q: A certain grade of milk contains 10% butter fat and a certain grade of cream60% butter fat. How many…

A: Let x quarts of milk and (100-x) quarts of cream have to be mixed.  Total amount of butterfat is:…

Q: The planet Mercury has a diameter of 4,878 km whereas the Moon has a radius of 1736.5 km. Which…

A: We have, The diameter of the planet Mercury, dM =4,878 km  The radius of the Moon, rm =1736.5 km

Q: 30. In AMNP, MN = 8 and NP = 6 %3D What is the measure of MP ? a. 6 b. 10 M. с. 15 d. 20

A: Given: In the triangle MNP, MN=8 and NP=6 . Since, the triangle MNP is a right angled triangle,…

Q: Into how many ways can you decorate the clown hat with three positions using three round pom-poms?…

A: We have 3 choices of pom-poms for each of the 3 positions. So we can decorate the hat in a total of…

Q: How many different triangles have the perimeter 15 cm if lengths are natural num

A: Given, The perimeter of a triangle is 15cm.   To find the number of triangles having perimeter 15cm.

Q: a? + b?, ab # 0 (s2+a?)(s?+b?)'

A:

Q: A heard of 27 horses has 21 white and some black horses. what is the ratio of black horses to all…

A: Since, we have been given a heard of 27 horses in which we have 21 whiteand some black horses.Then,…

Q: If n(A) = 145, n(B) = 110, and n(A ∪ B) = 220, what is n(A ∩ B)?

A: Event:  The collection of outcomes in an experiment is called as an event. Addition rule:

Q: In angle JHN, angle J equals x-1, angle H= 2x+3, and angle N= 3x-2 (where x>-1). What are the…

A: Given data is : In ∆JHNAngle J=x-1Angle H=2x+3Angle N=3x-2   To find the value of all angles.

Q: For how many n E {1,2, ..., 490} is na multiple of one or more of 9, 8, or 7?

A:

Q: 12. 18 11.0 18 tan 55 . 11.0 30 55 C. 21.9

A: In the give triangle ABC,  AB = 18, BC = 11.0, AC = 21.9 Measure of angle A = 30°…

Q: A construction company has four large bulldozers located at four different garages. The bulldozers…

A:

Q: If 7 points are found on a circle, how many triangles can be drawn using any 3 of these points as…

A:

Q: In 2D, the intersection of x=7 and p=1.79 rad is

A:

Q: What is called to the arrangement of items in which order does not matter?

A: When the order doesn't matter, it is a Combination. When the order does matter it is a Permutation.

Q: The following household items were found to have the dimensions Which item comes closest to having…

A: To find: The item that comes closest to golden ratio. Given: The dimension are standard sheet of…

Q: 2. If AABC ~ AJOT, which of these is a correct proportion? BC a. AC JT AB b. JT AC AB с. BC OT AC d.…

A: Given :            ∆ABC ~ ∆JOT   To find :             The correct proportion.

Q: 1 cm 4 om 1 cm 3 am 2 om 3am 3 om 2 cm 3 cm 1 cm 4 cm 1 cm .a. 3am 3 cm 4m,

A: Consider the figure as shown below.

Q: io 4) If Florence wants to stock 144 T-shirts and the - ratio of white, plain colored, and printed…

A: Number of T-shirts Florence wants to stock = 144 Given that white : plain : printed T-shirt…

Q: If 5 and 12 are the two smallest values in a Pythagorean triple, what is the largest value c, in the…

A:

Q: (e) a does not divide bc or a divides b or a divides c.

A: The given statement is a divides bc, then a divides b or a divide c. That is for any integers a,b…

Q: 4. The sum of the measures of complementary angles is 90°. If-then form:

A: The statement is given as The sum of the measures of complementary angles is 90∘ If p then q…

Q: suppose that Irene drives 27miles north, 21 miles west, 64 miles east, and 3 miles west. How far is…

A: Make the diagram presentation of the Irene  drive .

Q: a. The ratio of boys to girls in a class is 2 to 9. What is the ratio of boys to all the students in…

A:

Q: Consider the letters A-F. How many different arrangements are there for which: A is before B…

A: Given:  letters A-F = A, B, C ,D ,E, F

Q: The length of the class (5- 10) is: 7.5 O 6 D 4

A: Upper class limit =10 Lower class limit =5

Q: Mrs. Krabappel asks her class to draw a triangle and label the side lengths.  Sam drew a triangle…

A: Sum of any two side of triangle is greater than 3rd side

Q: If the ratio of male teachers to female teacher at CSA is 4 to 7, which of these shows possible…

A: We will find out the required value.

Q: B. How many combinations are there? C. P(honey oat, with ham and mayo)? D. P(ham)? E. P(not mayo)?

A: We are authorised to answer three subparts at a time since you have not mentioned which part you…

Q: When you divide a line into two parts ,where a is the longer part and b is the smaller part, what is…

A: We have to write basic formula for golden ratio. Where a>b.

Q: Consider the pentagon  How many non-overlapping triangles can an n-sided figure be split into?

A:

Q: A survey of volleyball players found that 15 ran a mile every day, 10 lifted weights every day, and…

A: Let ,r=a player ran a mile every dayw=a player lifted weights every daygiven,n(r)=15n(w)=10n(r∩w)=3

Q: Q = CD + (A+B)', If A=1, B=1, C=0 and D=1, what does Q equal?

A:

Q: The lcm of of 24, 60 , 72 and 90 is _?

A: I am attaching image so that you understand each and every step.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.