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3 years ago

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How do you solve 2(t 5)>4t-7(t 3)?

1 answer:

Ket [755]3 years ago

4 0

2(t + 5) > 4t - 7(t + 3)
2t + 10 > 4t - 7t - 21
2t + 10 > -3t - 21
2t + 3t > -21 - 10
5t > -31
t > -31/5

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Plz help me with this math and also explain

jasenka [17]

Step-by-step explanation:

<h2>[1]</h2>

SI = $250
Rate (R) = 12 $\sf \dfrac{1}{2}$ %
Time (t) = 4 years

$\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\$

$\longrightarrow \tt { 250 \times 100 = P \times 50} \\$

$\longrightarrow \tt { 25000 = P \times 50} \\$

$\longrightarrow \tt { \dfrac{25000}{50} = P } \\$

$\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\$

Therefore principal is $500.

<h2>__________________</h2>

<h2>[2]</h2>

2/7 of the balls are red.
3/5 of the balls are blue.
Rest are yellow.
Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

$\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\$

$\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\$

$\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\$

$\longrightarrow \tt{ 31x + 1260= 35x} \\$

$\longrightarrow \tt{ 1260= 35x-31x} \\$

$\longrightarrow \tt{ 1260= 4x} \\$

$\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\$

$\longrightarrow \underline{\boxed{ \tt { 315 = x }}} \\$

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

$\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\$

$\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\$

$\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\$

$\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\$

8 0

3 years ago

When Joseph finished packing his backpack, it had a mass of 5 kilograms. What was the mass of the backpack in grams

worty [1.4K]

There is 1000 grams in a kilogram so he had a mass of 5,000 grames in his bag

7 0

4 years ago

Stephanie found a sweater on sale for $12.88. The original price of the sweater was $44.95. About how much did she save on the s

rusak2 [61]

Answer:

$32.07

ROUNDING ANSWER : $32

Step-by-step explanation:

you would subtract $44.95 -$12.88 which would give you $32.07

since you are rounding your answer would be $32

Hope this helps

8 0

3 years ago

Please I need help!

Artemon [7]

Answer:

I think it’s 20 ft

Step-by-step explanation:

7 0

3 years ago

Why is 4 + (-3) equal to 1?

gladu [14]

This is because 4+(-3) is also 4-3. So that equals 1

3 0

3 years ago

Read 2 more answers