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SCORPION-xisa [38]
1 year ago
15

Chester, the dog, loves to eat treats. He has eaten twice as many today as yesterday. He has eaten a total of 15 dog treats in b

oth days.
-write the equation-
Mathematics
1 answer:
stich3 [128]1 year ago
7 0

Answer:

The equations are:

T = 2Y and T + 2Y = 15

Step-by-step explanation:

Given

Represent bones eaten Today with T and yesterday with Y

Required

Write the equation

In the first statement, we have that:

T = 2Y

Reading further; In the second statement

T + 2Y = 15

Hence, the equations are:

T = 2Y and T + 2Y = 15

Solving further:

Substitute 2Y for  T in the second equation

2Y + 2Y = 15

4Y = 15

Divide both sides by 4

Y = \frac{15}{4}

Y = 3.75

Recall that

T = 2Y

T= 2 * 3.75

T= 7.5

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pat made a total of 48 pottery plates and cups if she made twice as many plates as cups how many plates did she make?
Anastaziya [24]
48/3= 16 (cups)
16+16= 32 (twice as many plates)
So it would be 16
5 0
1 year ago
Tarun has 4 more than the twice the number of tshirts Deepak has.Mahesh has 2 more than thrice the number of T-shirts that Tarun
Dafna11 [192]

Answer:

Deepak: 4 t-shirts,

Tarun: 12 t-shirts,

Mahesh: 14 t-shirts.

Step-by-step explanation:

Let x represent number of t-shirts that Deepak has.

Please consider the complete question.

Tarun has 4 t-shirt more than twice the number of T-shirts Deepak has. Mahesh has 2 more than thrice the number of T-shirts Deepak has. If the ratio of the t-shirt that Tarun and Mahesh have is 6 : 7, find out the number of the t-shirt each of them has.​

Since Tarun has 4 t-shirt more than twice the number of T-shirts Deepak has, so the number of t-shirts that Tarun has would be 2x+4.

We are also told that Mahesh has 2 more than thrice the number of T-shirts Deepak has. So the number of t-shirts that Mahesh has would be 3x+2.

Since the ratio of the t-shirt that Tarun and Mahesh have is 6 : 7, so we can represent this information in an equation as:

\frac{2x+4}{3x+2}=\frac{6}{7}  

Cross multiply:

6(3x+2)=7(2x+4)

18x+12=14x+28

18x-14x+12-12=14x-14x+28-12

4x=16

x=\frac{16}{4}=4

Therefore, Deepak has 4 t-shirts.

The number of t-shirts that Tarun has would be 2x+4\Rightarrow 2(4)+4=4+4=12

Therefore, Tarun has 12 t-shirts.

The number of t-shirts that Mahesh has would be 3x+2\Rightarrow 3(4)+2=12+2=14

Therefore, Mahesh has 14 t-shirts.

5 0
2 years ago
Which number line represents the solution set for the inequality –negative StartFraction one-half EndFraction x is greater than
lozanna [386]

Answer:

<h2>Second choice.</h2>

Step-by-step explanation:

The given inequality is

-\frac{1}{2}x \geq  4

Let's solve for x

x\leq -4(2)\\x\leq -8

Basically, the solution of the given inquality is set with all real numbers which are equal or less than -8. So, the solution must indicate a blue line starting at -8 pointing to its left.

Therefore, the second choice represents the solution to the given inequality.

4 0
2 years ago
Read 2 more answers
Most cars get their best gas mileage when traveling at a relatively slow speed. The gas mileage M for a certain new car is model
NeTakaya
In this item, it is assumed that we are to determine the speed at which the car will have the best gas mileage. This can be done by deriving the equation and equating it to zero.

       M(s) = -1/28s² + 3s - 31

Deriving,
    dM(s) = (-1/28)(2s) + 3 = 0

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Hence, the speed at which the best mileage is achieved is mi/h. 
5 0
1 year ago
Write a expression that shows 3 times the sixth power of 10
user100 [1]
(10 raised to the power of 6)×3     

(10*6) ×3
8 0
1 year ago
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