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3 years ago

Helpppp plzzzzzzzzzzzzzzzz

Mathematics

1 answer:

mariarad [96]3 years ago

8 0

I’m a bit confused by the choices you have been given. Are there any other options? If not, I would choose (5.3,9.8) as 9.8 is correct

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if the first and third of three consecutive odd integers are added, the result is 75 less than five times the second integers. f

Anastaziya [24]

Answer:

The third integer is 27

Step-by-step explanation:

Given

Represent the consecutive odd numbers with $T_1, T_2; and\ T_3$

Since they are consecutive odds, then

$T_2 = 2 + T_1$

$T_3 = 2 + T_2$

From the first statement in the question, we have that

$T_1 + T_3 = 5 T_2 - 75$

Required

Find the third integer

Recall that

Substitute $T_2 = 2 + T_1$ in $T_3 = 2 + T_2$

$T_3 = 2 + 2 + T_1$

$T_3 = 4 + T_1$

Substitute $T_3 = 4 + T_1$ and $T_2 = 2 + T_1$ in $T_1 + T_3 = 5 T_2 - 75$

$T_1 + 4 + T_1 = 5(2 + T_1) - 75$

Open Brackets

$T_1 + 4 + T_1 = 10 + 5T_1 - 75$

Collect like terms

$T_1 + T_1 + 4 = 5T_1 - 75 + 10$

$2T_1 + 4 = 5T_1 - 65$

Collect like terms

$2T_1 - 5T_1 = - 65 - 4$

$-3T_1 = - 69$

Divide both sides by -3

$\frac{-3T_1}{-3} = \frac{- 69}{-3}$

$T_1 = 23$

Recall that $T_3 = 4 + T_1$

$T_3 = 4 + 23$

$T_3 = 27$

The third integer is 27

6 0

3 years ago

Problem Ari thinks the perfect milkshake has 333 ounces of caramel for every 555 scoops of ice cream. Freeze Zone makes batches

Diano4ka-milaya [45]

Answer:

That their milkshakes need more caramel or less ice cream.

Step-by-step explanation:

We can see that Ari's numbers for a perfect milkshake gives us a caramel to ice cream ratio of 333 / 555 = 0,6.

But the Freeze Zone uses a caramel to ice cream ratio of 666 / 888 which is equal to 0,75.

Their milkshakes have less caramel and more ice cream than Ari's perfect milkshake so Ari will think that Freeze Zone's milkshakes are not sweet enough.

I hope this answer helps.

8 0

3 years ago

Manny hiked 6 2/5 miles along the mountain trail he stopped climbing a lookout tower 1/4how many miles did manny hike before he

Ivan

6 13/20 until the tower

8 0

3 years ago

A shop makes a profit of £2750 in March.

LiRa [457]

Answer:

15% increase

Step-by-step explanation:

2750... 10% of that is 275, add 275 to 2750 is 3025. 1% of 2750 is 27.50, you times that by 5, which is 137.50 and add that to 3025 giving you 3162.50, add the 10% with the 5% gives you 15%, that's the increase.

7 0

3 years ago

The length of the diagonal of a rectangle is √181 inches. Which statement describes the length of the diagonal?

lakkis [162]

Answer:

The correct option is (B).

Step-by-step explanation:

The length of the diagonal of a rectangle is $\sqrt{181}$ inches.