Quadrilateral ABCD has the following angle measures. Find the Measure of angle A.
B: 59°
C: 103°
D: 100°

The number of fiction books are 7 and number of non fiction books are 3 respectively

let

number of fiction books = x

number of non fiction books = y

x = 4y - 5

Total books = z

x = 70% of z

y = 30% of z

x + y = z

4y - 5 + 30%(z) = z

4y - 5 + 0.3z = z

4y - 5 = z - 0.3z

4y - 5 = 0.7x

4y - 5 = 0.7z

4(0.3z) - 5 = 0.7z

1.2z - 5 = 0.7z

-5 = 0.7z - 1.2z

-5 = - 0.5z

z = -5/-0.5

z = 10

Therefore,

the number of non fiction = 30% of z

= 0.3 × 10

= 3

number of fiction = 70% of z

= 0.7 × 10

= 7

Learn more about equation:

https://brainly.com/question/16450098

Answer:

Step-by-step explanation:

Three-fourths of the difference of a number and 7 is negative fifteen:

Answer:

The gravitational force acting between the two bodies is given by:

F=G

r

2

m

1

m

2

G=

m

1

m

2

Fr

2

The dimension of the force is [MLT

−2

]

=

[M][M]

[MLT

−2

][L

2

]

=M

−1

L

3

T

−2

Answer: A

Step-by-step explanation:

By replacing in the given equation:

y=-3x-7

y=-3(-2)-7

y=6-7

y=-1

But for choices B, C and D the given x values don't fit with the images.

Answer:

16x

Step-by-step explanation:

(3x + 2) (x - 6)

Multiply 3x by x and -6

3x^2 - 18x

Multiply 2 by x and -6

2x - 12

Combine like terms

3x^2 - 16x - 12

The middle term is 16x

Answer: 13 1/3 degrees per hour

Explanation: 10/3 x 4 = 40/3

40/3 = 13 1/3

Answer:

These figures are not the same because the Slope of DE is not the same as the slope of JK.

Step-by-step explanation:

Slope of DE = -2/1

Slope of JK = -1

If they were similar, the slope would be the same, but the size would not.

-Chetan K

Answer:

don't see the relationship, but if it's a proportional relationship it should have the same result every time you divide the x by the y or vice versa.

Answer:x=-3.5

Step-by-step explanation:

Answer:

38 in

Step-by-step explanation:

114 yds divided by 3 = 38 in

Answer:

Hint: Percentage Growth Rate = r ⋅ 100 in A = A0(1 + r)t

1,200, 5% annually, and 1,689

1,200, 50% semiannually, and 20,503

1,200, 10.5% per year, and 2,414

1,200, 5% semiannually, and 2,376

Answer:

P = 12 + 5x

Step-by-step explanation:

P = a + b + c

P = 7 + (x + 4) + (4x + 1)

  = 7 + x + 4 + 4x + 1

  = 12 + 5x

Answer:

f(4) = 1.4

Step-by-step explanation:

f(x) = (3x/2) - (14/3)

We are given that x = 4

f(4) = (3(4)/2) - (14/3)

f(4) = (12/2) - (14/3)

f(4) = 6 - (14/3)

14/3 as a decimal is 4.6

f(4) = 6 - 4.6

f(4) = 1.4 (approximately)

Answer: 4914

Step-by-step explanation:

multiply 15 and 20 to make 300

multiply 24 and 27 to make 648

set up proportion

[tex]\frac{300}{648}[/tex] × [tex]\frac{2275}{x}[/tex]

cross multiply

300x = 648(2275)

300x = 1474200

x = 4914

Answer:

Cassidy places 5 steps on each album page.

Cassidy places 320 stamps in total.

Step-by-step explanation:

40÷8=5 stamps on each album page

40×8=320 stamps in total

Answer:

167.67 divided by 8.1 = 20.7

Answer:

not functional, 0 over laps with T and X. so that should make it not functional (I think )

Answer:

A'(-6,4) B'(2,2) C'(-2,-2)

Step-by-step explanation:

The dilation is by 2. This just means you multiply each number by two. FOr example, for point a, multiply -3 by 2 and 2 by 2 to get (-6, 4).

Answer:

d

Step-by-step explanation:

you need to type it in the calculator and solve it

Answer:

4+1=5

Step-by-step explanation:

Note down the below rules

Answer: 12 feet up

Step-by-step explanation:

This problem models a right triangle, in which the ladder is the hypotenuse and the distance away from the wall is one of the legs.  Thus, you may use the Pythagorean Theorem (a^2 + b^2 = c^2)

[tex]a^2+b^2=c^2\\5^2+b^2=13^2\\25+b^2=169\\b^2=144\\b=12[/tex]

N.B. There are some very useful sets of numbers that can help you with this unit.

They are called Pythagorean triplets, and they are the sets of whole numbers that make right triangles.  The important ones are 3, 4, 5, and 5, 12, 13 (And their multiples, like 6, 8, 10(3,4,5 *2))

Hope it helps :) and let me know if you want me to elaborate further.

Answer:

did u mean 7 minutes & 30 seconds or

do you need seperate percentage for each ???

Answer:

420 i think

Step-by-step explanation:

7 mins

7×60

=420

plus the 30sec

450 sec

450/3600×100

45000/3600

450/36

12.5

Answer:

both are c

Step-by-step explanation:

Answer: No

Step-by-step explanation:

2 is double 1.

Because 11 is not double 9, the ratios are not equivalent.

Hope it helps :)

Answer:

24 adults

Step-by-step explanation:

The equation to represent the scenario is

4x + 7x = 66

Combine like terms

11x = 66

Isolate x

x = 6

To find the amount of adults attending the carnival, substitute 6 with x.

6*4 = 24 adults

7*4 = 42 children

24 + 42 = 66 people in total

Answer:

a) y = 0.10(16) + 100

y = $ 101.60

b) y = 0.10(150) + 100

y = $115

c) y = 0.10(200) + 100

y = $120

d) y = 0.10(250) + 100

y = $125

Step-by-step explanation:

Answer: 8.9%

Step-by-step explanation: 13 - 4.1

Answer:

i think this correct

Step-by-step explanation:

3.24=(1+9.4/100) x

then x= 2.961 $

Answer: 8 days.

Explanation;

11/2 = 5.5

5.5 x 3 = 16.5

132/16.5 = 8

Answer:

8 days

Step-by-step explanation:

So, 11/2 * 3 = (33/2) = 16.5 ml  

Let the number of days medicine last be 'x'.  

⇒ 16.5 * x = 132  

⇒ x = 132/16.5  

⇒ x = 8.  

Therefore, Medicines last for 8 days.  

Hope it helps!

Step-by-step explanation:

This is an isosceles triangle because in an isosceles triangle angles opposite to each of the equal sides must also be equal. Since the diagram shows 2 equal angles we can say its isosceles.

So 3(x+2) = 24

8= x+2

x = 6

Answer:

x = 6

Step-by-step explanation:

The triangle given is an isosceles triangle.

Which means, the two sides and the two angles will be the same.

One of the sides is 24.

The other is 3 ( x + 2 )

Hence, we will get this equation.

24 = 3 ( x + 2 )

24 = 3x + 6

24 - 6 = 3x

18 = 3x

6 = x

Thus, x = 6.

I hope it helps.