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s344n2d4d5 [400]
3 years ago
10

Lynn bought a bag of grapefruit 1 5/8 pounds of apples to + 3/16 pounds of bananas the total weight of her purchase with 7 1/2 p

ounds how much did the bag of grapefruit way
Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0
Let us assume the weight of grapefruit = x pounds
Weight of the apples = 1 5/8 pounds
                                   = 13/8 pounds
Weight of the bananas = 3/16 pounds
The total weight of her purchase = 7 1/2 pounds
                                                     = 15/2 pounds
Then we get the equation as
x + 13/8 + 3/16 = 15/2
16x + 26 + 3 = 16 * (15/2)
16x + 29 = 8 * 15
16x + 29 = 120
16x = 120 - 29
16x = 91
x = 91/16
So the weight of the grapefruit is 91/16 pounds. It can also be written
as 5 11/16 pounds
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Answer:

Lola was in lead for \frac{6}{25} of a mile.

Step-by-step explanation:

We have been given that Lola and Brandon had a running race. They ran 3/10 of a mile. Lola was in the lead for 4/5 of the distance.

To find the fraction of a mile for which Lola was in the lead, we need to find 4/5 of 3/10 as:

\text{Fraction for which Lola was in lead}=\frac{3}{10}\times\frac{4}{5}

\text{Fraction for which Lola was in lead}=\frac{3}{5}\times\frac{2}{5}

\text{Fraction for which Lola was in lead}=\frac{3\times2}{5\times5}

\text{Fraction for which Lola was in lead}=\frac{6}{25}

Therefore, Lola was in lead for \frac{6}{25} of a mile.

7 0
3 years ago
How do i write a two column proof for this??<br><br>Given: PG ≅ SG and PT ≅ ST . Prove: ∠GPT ≅ ∠GST
Nikolay [14]

Answer:

PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

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Step-by-step explanation:

<u>Given</u>: PG ≅ SG and PT ≅ ST

<u>To Prove</u>: ∠GPT ≅ ∠GST

<u>Proof</u>:  PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom).

<u>SSS Congruency Axiom</u>:  If three pairs of sides of two triangles are equal in length, then the triangles are congruent.

<u>Congruence</u>: Two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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95% of 260 is 247~
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Answer:

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Step-by-step explanation:

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