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VMariaS [17]
3 years ago
12

The one number is 3 less than 5 times another number. Their sum is 81. List the numbers.​

Mathematics
2 answers:
Inga [223]3 years ago
8 0

Answer:

Step-by-step explanation:

Bingel [31]3 years ago
5 0

Answer:

the numbers are 67 and 14

Step-by-step explanation:

let the other number be x

first number = 5x - 3

second number = x

5x - 3 + x = 81

6x = 81 +3

6x = 84

x = 84/6

x = 14

first number = 5x -3

                    = 5(14) -3

                    = 70 - 3

                    = 67

Second number = x

                          = 14

CROSS-CHECK

67 + 14

= 81

Cross-checked

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SAVINGS ACCOUNT
yarga [219]

Answer:

$4000 was invested at 4%, 2500 was invested at 3%

Step-by-step explanation:

First and foremost the question has to be define.

Total amount raised is $6500

Savings account percentage simple interest =3%

Government Bond: 4% simple interest

Equation for amount invested at each rate:

(6500-x)0.03 + 0.04x = 235

195 - 0.03x + 0.04x = 235

0.01x = 40

x = 4000

$4000 was invested at 4%, 2500 was invested at 3%

4 0
3 years ago
Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line containing A
Inessa05 [86]

Answer:

Only the first pair can be so mapped

Step-by-step explanation:

Reflection across AB and translation will leave the segment corresponding to AB having the same "north-south" (vertical) orientation. The reflection will reverse the clockwise ordering of corresponding vertices.

- selection 2: segment AY is not vertical

- selection 3: the ordering of the vertices is unchanged, not reversed

- selection 4: segment XY is not vertical

4 0
3 years ago
Read 2 more answers
A fruit stand has to decide what to charge for their produce. They need \$10$10 for 44 apples and 44 oranges. They also need \$1
KatRina [158]

Answer:

<em>We can't find a unique price for an apple and an orange.</em>

Step-by-step explanation:

Suppose, the price of an apple is x and the price of an orange is y

They need $10 for 4 apples and 4 oranges. So, the first equation will be.......

4x+4y=10 ........................................(1)

They also need $15 for 6 apples and 6 oranges. So, the second equation will be........

6x+6y= 15 ........................................(2)

Dividing equation (1) by 2 on both sides :  2x+2y= 5

Dividing equation (2) by 3 on both sides :  2x+2y=5

So, we can see that both equation (1) and (2) are actually same. That means, we will not get any unique solution for x and y here. Both x and y have <u>"infinitely many solutions"</u>.

Thus, we can't find a unique price for an apple and an orange.

4 0
3 years ago
MODELING REAL LIFE A charm bracelet costs $65, plus $25 for each charm. The equation -25x+y=65 represents the cost y (in dollars
Fed [463]

Answer:

B = $140

Step-by-step explanation:

for part A, the graph is linear line with a Y intercept at (0,65) so this means that if you were to have no charms it would cost 65 dollars, since the y axis represents cost. then for every 1 increment on the x axis (number of charms) the Y value increases by 25 so the slope is \frac{25}{1}

we also can conclude that there is no negative domain since you cannot have negative charms, and the range begins at 65 since you cannot get a bracelet for less money

for part B, y=25x+65

so for three charms, x is represented as 3 so y=25(3) +65 which is 75+65=y= $140

7 0
3 years ago
If f(x)=2x Write g(x) (the equation) if g(x) is f(x) translated 2 units down and then reflected over the x-axis.
Vedmedyk [2.9K]
F(x) = 2x ⇒ g(x) = -f(x) - 2 = -2x - 2

⇒ g(x) = -2 × (x + 1)
7 0
3 years ago
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