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DedPeter [7]
3 years ago
15

10/ p = 1 250 = 1000/ q please help

Mathematics
1 answer:
valkas [14]3 years ago
7 0

Answer:

p = 10

q = 4

Step-by-step explanation:

10/p = 1

<em>(multiply both sides by p)</em>

10 = 1p

10 = p

250 = 1000/q

<em>(multiply both sides by q)</em>

250q = 1000

<em>(divide both sides by 250)</em>

q = 4

Hope this helps!

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Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the
Anna71 [15]

Given:

Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the left to form triangle A’B’C’.

To find:

The coordinates of the vertices of triangle A’B’C’.

Solution:

If triangle ABC reflected across y-axis, then

(x,y)\to (-x,y)

A(-1,4)\to A_1(1,4)

B(-4,1)\to B_1(4,1)

C(-1,1)\to C_1(1,1)

Coordinates of image after reflection across y-axis are A_1(1,4),B_1(4,1),C_1(1,1).

Then triangle translated 4 units to the left to form triangle A’B’C’.

(x,y)\to (x-4,y)

A_1(1,4)\to A'(-3,4)

B_1(4,1)\to B'(0,1)

C_1(1,1)\to C'(-3,1)

Therefore, the vertices of triangle A’B’C’ are A’ (-3, 4), B’ (0, 1), C’ (-3, 1).

Hence, the correct option is B.

6 0
3 years ago
Amy received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.24 per pound. After buying the c
SVEN [57.7K]

Answer:

5 pounds

Step-by-step explanation:

Given that:

Amount of gift card = $80

Cost of coffee per pound = $8.24

Amount left in the card = $38.80

To find:

Number of pounds of coffee bought = ?

Solution:

Let the number of pounds of the coffee bought = x pounds

Cost of 1 pound = $8.24

Cost of x pounds = $8.24 \times x

Writing the equation as per question statement:

80 - 8.24x = 38.80\\\Rightarrow 80 - 38.80 = 8.24x\\\Rightarrow  8.24x = 41.2\\\Rightarrow x = \dfrac{41.2}{8.24}\\\Rightarrow \bold{x = 5\ pounds}

Therefore, 5 pounds of coffee was bought.

3 0
3 years ago
Farmer Emmet used to own 2,300 acres of farmland. However, he recently sold 28% of his farm to a residential developer.
kap26 [50]

9514 1404 393

Answer:

  1. 1656 acres left
  2. 644 acres sold
  3. $32,200,000

Step-by-step explanation:

1. The number of acres sold is ...

  28% × 2300 = 0.28 × 2300 = 644

Then the number of acres Emmet has left will be ...

  2300 -644 = 1656 . . . acres left

__

2. Emmet sold 644 acres.

__

3. At $50,000 per acre, the value of the land sold was ...

  $50,000 × 644 = $32,200,000 . . . . paid by the developer

5 0
2 years ago
Randy said that the number 0.03 has a value 10 times greater than 0.003 is he correct.
pishuonlain [190]
Yes, he is correct. 0.003 * 10 = 0.03
5 0
3 years ago
Angles 1 and 2 are complementary and congruent. What is the measure of angle 1
ExtremeBDS [4]

Answer:

45 i think i dont know

Step-by-step explanation:

m

∠

2

=

x

holds true.

Complementary angles have a sum of

90

˚

. Thus, if

∠

1

and

∠

2

are complementary,

m

∠

1

+

m

∠

2

=

90

Substitute the equivalent forms of these angle measurements

(

x

,

x

)

.

x

+

x

=

90

Solve algebraically.

2

x

=

90

x

=

45

Each angle is

45

˚

.

6 0
3 years ago
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