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olga nikolaevna [1]
3 years ago
14

Write the phrase as an expression. Then evaluate when y=20 . 3 less than the quotient of a number y and 4

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0

Expression: <span>y÷4−3</span>

When <span><span>y=20</span><span>y=20</span></span>, the value of the expression is 2.

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Is 2 , -5 a solution to this system equation 2x + 5y = -19, 6y - 8x = -54 .? Justify your answer
Andreas93 [3]
The easiest way to solve this problem is to put (2, -5) into both equations and see if it satisfies/works for both of them. 2 = x and -5 = y.

So for <span>2x + 5y = -19, 
</span><span>2(2) + 5(-5) = -19
4 - 25 = -19
-21 </span><span>≠ -19.

You can continue and try it out for </span><span>6y - 8x = -54 
6(-5) - 8(2) = -54
-30 - 16 = -54
-46</span> ≠ -54

But since (2, -5) already doesn't work for one equation, it cannot be a solution to the system of equations.
3 0
3 years ago
Polygon ABCD is rotated 90° counterclockwise about the origin to create polygon A'B'C'D'. natch each set of coordinates to the v
Sati [7]

These questions are no problem, so long as you remember the rules for rotations. A point that is rotated 90 counterclockwise is simply x and y flipped, and negating the y.

For example, 2,9 becomes -9, 2.

So point A would be -1, 1, B would be -2, 1. So on and so forth.

5 0
3 years ago
Find RS. See image below
hram777 [196]

Step-by-step explanation:

since both cords are equal, so are arc length

4x + 18 = 7x - 51

3x - 21 = 0

x = 7

arc RS = 4(7) + 18

4 0
3 years ago
Find the length of the leg. If your answer is not an integer, leave it in simplest radical<br> form
Setler [38]

Step-by-step explanation:

{14}^{2}  = 2 {a}^{2}  \\ 2 {a}^{2}  = 196 \\  {a}^{2}  = 98 \\  a = \sqrt{98 }  =  \sqrt{49 \times 2}  \\  =  7 \sqrt{2}

7 0
3 years ago
A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest
OLEGan [10]

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150

substitute in the formula above

I=P_1(r_1t)+P_2(r_2t)

1,150=x(0.0525*1)+(25,000-x)(0.04*1)

Solve for x

1,150=0.0525x+1,000-0.04x

0.0525x-0.04x=1,150-1,000

0.0125x=150

x=\$12,000

|$25,000-x=\$13,000

therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

6 0
3 years ago
Read 2 more answers
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