The product of the first and last digit is equal to 48The sum of the last two digits is greater than 7

The sum of the first two digits is equal to 9

Answers

Answer 1

Answer: $a,b,c,d\ \rightarrow\ digits\ of\ number\n\n a\cdot d=48\nc+d=7\ \ \Rightarrow\ \ c \leq 7\ and\ d \leq 7\ \ \ (*)\na+b=9\n\na\cdot d=48\ \ \Rightarrow\ \ (*)\ a=8\ and\ d=6\n\na=8\ \ \Rightarrow\ \ 8+b=9\ \ \Rightarrow\ \ b=1\n\nd=6\ \ \Rightarrow\ \ c+6=7\ \ \Rightarrow\ \ c=1\n\nAns.\ number:\ \ 8116$

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Use the distributive property to multiply 5(b+8)a.5b+40
b.5b+8
c.5b+13
d.8b+40

Answers

Answer:

Is a. 5b+40

Step-by-step explanation:

The distributive property explains that the multiplication of a number by a sum is equal to the multiplication of the number by each of the addends. So in this case we can multiply the number 5 by each one of the addends, this is:

$5*(b+8)=5*b+5*8=5b+40$

From the above the answer is a. 5b+40

The answer is 5b+40

5+b=5b
5×8=40

=5b+40

Prove that 1+cosA/sinA + sinA/1+cosA=2cosecA

Answers

$(1+cos\alpha)/(sin\alpha)+(sin\alpha)/(1+cos\alpha)=2cosec\alpha\n\nL=((1+cos\alpha)(1+cos\alpha)+sin\alpha\cdot sin\alpha)/(sin\alpha(1+cos\alpha))=(1+2cos\alpha+cos^2\alpha+sin^2\alpha)/(sin\alpha(1+cos\alpha))\n\n=(1+2cos\alpha+1)/(sin\alpha(1+cos\alpha))=(2+2cos\alpha)/(sin\alpha(1+cos\alpha))=(2(1+cos\alpha))/(sin\alpha(1+cos\alpha))\n\n=(2)/(sin\alpha)=2\cdot(1)/(sin\alpha)=2cosec\alpha=R$

Robin has a table full of supplies that she will use to decorate picture frames. She decorated one frame with 3 buttons and 12 bows. On her other frames, she also wants to use 2 types of items on each picture frame, but only if the 2 items have the same unit rate as the items on the first frame. Which of the pairs of items could Robin use for the other frames?

Answers

The ratio is 1:4
She could use 4 gems and 16 flowers 4 x 4 = 16 7 stickers and 28 glue dots 7 x 4 = 28

The choices you could pick would be...

4 gems and 16 flowers... because 4 x 4 = 16

7 stickers and 28 glue dots... because 7 x 4 = 28

What is the appropiate customary unit to measure a paper clip

Answers

Since a paperclip is extremely light, the weight of a paperclip would be measured in ounces. When thinking about weight, remember that an ounce is about the weight of a pencil, a pound is about the weight of a bag of candy, and a ton is about the weight of a truck.

Centimeters or inches would be appropriate because the size of a paperclip is very tiny.

Each exterior angle of a regular polygon is 9°Calculate the number of sides of the polygon