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3 years ago

What is the GFC40 and28

Mathematics

2 answers:

Butoxors [25]3 years ago

7 0

Step-by-step explanation:

40 = 2 * 2 * 2 * 5

28 = 2* 2 * 7

So now

The GCF = 2 * 2 = 4

KiRa [710]3 years ago

5 0

The gcf for this problem is 4

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5/7 divided by 20/5 <br> then simply it completely

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Answer:

5 / 28

Step-by-step explanation:

5/7 ÷ 20/5

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= (5 x 5) / (7 x 20)

= 25 / 140 (divide numerator and denominator by 5)

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2 years ago

A triangle has two sides measuring 10 inches and 16 inches. The angle opposite the 16-inch side measures 68.9°. Solve the triang

Nezavi [6.7K]

Answer:

measure of two unknown angles are 35.7° and 75.4°

measure of one unknown side is 16.6 inches

Step-by-step explanation:

i used law of sines to find the angle opposite 10 inch side

sin 68.9/16 = sinФ/10

Ф = 35.7°

then is added 35.7 and 68.9 and subtracted the sum from 180° to get the measure of the third angle, 75.4°

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3 years ago

Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each

Basile [38]

Answer:

Part 1) The inequality that describes the relationship between the number of cookies each one of them has is $x^{2} -30x+224\geq 0$

Part 2) Jessica has at least 2 cookies more than Martha

Step-by-step explanation:

Part 1) Find the inequality that describes the relationship between the number of cookies each one of them has

Let

x----> the number of cookies when Jessica started

30-x ----> the number of cookies when Martha started

we know that

Each of them ate 6 cookies from their bag

The cookies left in each bag are

(x-6) ----> Jessica

and (30-x-6)=(24-x) ---> Martha

The product is equal to (x-6)(24-x)

The product of the number of cookies left in each bag is not more than 80.

$(x-6)(24-x)\leq 80\\ \\24x-x^{2}-144+6x\leq 80\\ \\-x^{2} +30x-144-80\leq 0\\ \\-x^{2} +30x-224\leq 0$

Multiply by -1 both sides

$x^{2} -30x+224\geq 0$

Part 2) Solve the quadratic equation

$x^{2} -30x+224\geq 0$

Solve by graphing

The solution is x=16 cookies

(30-x)=30-16=14 cookies

therefore

The number of cookies when Jessica started was 16 cookies

The number of cookies when Martha started was 14 cookies

The number of cookies left in each bag is equal to

Jessica

16-6=10 cookies

Martha

14-6=8 cookies

Jessica has at least 2 cookies more than Martha

7 0

3 years ago

Read 2 more answers