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2 years ago

Can someone help me ?

Mathematics

2 answers:

antoniya [11.8K]2 years ago

5 0

Answer:

AC is four times longer than DF

Step-by-step explanation:

AC is the diameter of the circle E and DE is the radius of the circle E

AC = 2 x DE

DE is the diameter of the circle F and DF is the radius of the circle F

DE = 2 x DF

AC = 2 x DE

AC = 2 x (2 x DF)

AC = 4 x DF

So AC is four times longer than DF

stira [4]2 years ago

3 0

From how it appears, it seems as the answer will be AC is four times longer than DF. If you lined up four DF lines next to AC, it would be congruent

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What are the solutions to the system of equations? y=x2−7x+12y=−x+7

kap26 [50]

Answer:

x = 1, y = 6

x = 5, y = 2.

Step-by-step explanation:

y=x2−7x+12

y=−x+7

Substitute for y in the first equation:

- x + 7 = x^2 - 7x + 12

x^2 - 7x + x + 12 - 7 = 0

x^2 - 6x + 5 = 0

(x - 1)(x - 5) = 0

x = 1, 5.

When x = 1, y = -1 + 7 = 6.

when x = 5, y = -5+7 = 2.

3 0

1 year ago

1) 35 is what percent of 140 2) 250 is 45% of what number? 3) 74 is what percent of 740? 4) 350 is 50% of what number?

densk [106]

Answer:

1) 25%

2) 555.56

3) 10%

4) 700

Step-by-step explanation:

1) 35 is what percent of 140

This is calculated as:

35/140 × 100

= 25%

2) 250 is 45% of what number?

Let the number be represented as x

This is calculated as:

45% of x = 250

45/100 × x = 250

45x /100 = 250

Cross Multiply

45x = 250 × 100

x = 25000/45

x = 555.55555556

x = 555.56

3) 74 is what percent of 740?

Let the percentage be represented by x

x% × 740 = 74

Divide both side by 740

x% = 74/740

x% = 0.1

Converting to percentage

0.1 × 100 = 10%

4) 350 is 50% of what number?

Let the number the represented by x

This is calculated as:

50% of x = 350

50/100 × x = 350

50x /100 = 350

Cross Multiply

50x = 350 × 100

x = 35000/50

x = 700

x = 555.56

5 0

3 years ago

-8<2x-4<4 solve the inequality

il63 [147K]

Answer:

Step-by-step explanation:

The inequality will be split into two

It is know that, if a<b<c

Then a<b and b<c

-8<2x-4<4

Apply that to this

Then,

-8<2x-4. Equation 1

Also,

2x-4<4 equation 2

Solving equation 1

-8<2x-4

Add 4 to both side of the equation

-8+4<2x-4+4

-4<2x

Divide both sides by 2

-4/2<2x/2

-2<x

Note, if a is less than b, then, b is greater than a, e.g. 4 is less than 10, this implies 10 is greater than 4

Therefore,

-2<x

Then, x greater than -2

Equation 2

2x-4<4

Add 4 to both side of the inequalities

2x-4+4<4+4

2x<8

Divide both side by 2

Then,

2x/2<8/2

x<4

Therefore x is between -2 and +4.

Check attachment for graphical solution

7 0

2 years ago

Sarah is 50 years old. she is twice as old as her friend bill and bill is 5 times as old as his sister jane. jane's mom is 12 ti

Pavlova-9 [17]

10 years. Bill is 25, his sister is 5, and their mother is 60.

7 0

3 years ago

Read 2 more answers

The difference between a number divided by 3 and 4 is 20.

Alexxandr [17]

Let, the number be "a"

Now, according to the question,
$\frac{a}{3} - 4=20$

$\frac{a-12}{3} =20$

$a-12 =20*3$

$a-12=60$

$a = 60 + 12$

$a = 72$

So, the number is 72

7 0

2 years ago

Read 2 more answers