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-Dominant- [34]
2 years ago
13

nine times a number y subtracted from 85 is seven times the sum of four and y . ( i need the equation for this )

Mathematics
1 answer:
Sveta_85 [38]2 years ago
3 0

Step-by-step explanation:

then let's transistors this into mathematical symbols :

9 times a number y

9×y or simply 9y

subtracted from 85

85 - ...

is seven times

= 7 × ...

the sum of four and y

(4 + y)

together this is then

85 - 9y = 7 × (4 + y)

and just FYI : let's solve this

85 - 9y = 7×4 + 7y = 28 + 7y

85 = 28 + 16y

57 = 16y

y = 57/16 = 3.5625

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Using factor theorem , show that (x -4) is a factor 2x3 + x2 -26x - 40 and hence factorize completely.
notka56 [123]

Step-by-step explanation:

if x-4 is a factor of 2x^3 + x^2- 26x - 40

then f(4) = 0

f(x) = 2x^3 + x^2- 26x - 40

f(4) = 2(4)^3 + (4)^2 - 26(4) - 40

f(4)= 2(64) + 16 - 104 - 40

f(4) = 128 + 16 - 104 - 40

f(4) = 0

hence factorize completely is the photo

7 0
2 years ago
For a scavenger hunt, Jim's mom distributed a bag of 875 jelly beans evenly into 25 plastic containers and hid them around the
kupik [55]

Answer:

Jim only found 15 of the containers.

Step-by-step explanation:

If his mom hid 875 jelly beans evenly into 25 containers we can easily multiply 25 x 35 = 875, which means there were 35 jelly beans in each container.

Jim only found an amount of 385 jelly beans. To find out how many containers he found, all you have to do is divide 385 by 25 which gives us 15.4.

15.4 rounded to the nearest whole number is 15. So your answer would be that Jim found only 15 out of 25 containers.

6 0
2 years ago
T.L. and Quina plan to add a 6-inch thick layer of gravel to their driveway. The driveway is 15 yards long and 3 yards wide. Wha
Artemon [7]

Answer:

Step-by-step explanation:

The driveway has the shape of a cuboid. The formula for determining the volume if a cuboid is expressed as

Volume = L × W × H

Where

H represents the thickness of the gravel to be added to the driveway.

W represents the width of the driveway.

L represents the length of the driveway.

From the information given,

L = 15 yards

W = 3 yards

H = 6 inches.

36 inches = 1 yard

6 inches = 6/36 = 0.167 yard

Therefore, the volume of gravel required would be

V = 15 × 3 × 0.167 = 7.515 cubic yards

7 0
3 years ago
Polly bought a cracker for $7 and then bought a parrot for $2. By how much did Polly's account change after her transactions?
marysya [2.9K]

Answer:

Changes = -\$9

Step-by-step explanation:

Given

Cracker = \$7

Parrot = \$2

Required

Determine the changes in the account

First, we need to determine the total amount spent;

Total = Cracker + Parrot

Total = \$7 + \$2

Total = \$9

<em>Hence, the changes in her account is a debit of $9 i.e. -$9</em>

7 0
3 years ago
Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing ounces. Rob
Blababa [14]

<u>Question</u>:

Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing 7 1/4 ounces. Robin’s basket contains 6 apples, each weighing 6 1/2 ounces. Whose basket is heavier and by how much?

<u>Answer</u>:

Robin’s basket is heavier than Ted’s basket  by  2.75 ounces

<u>Step-by-step explanation:</u>

<u>Given</u>:

Ted’s basket contains  = 5 apples

Weight of each apple in Ted’s basket = 7 1/4 ounces

Robin’s basket contains  = 6 apples

Weight of each apple in Robin’s basket =  6 1/2 ounces

<u>To Find:</u>

Whose basket is heavier and by how much?

<u>Solution:</u>

<u>Step 1: Finding the weight of Ted’s basket </u>

Weight of Ted’s basket  = Number of apple in the basket X  Weight of each apple

Weight of Ted’s basket  = 5 \times 7\frac{1}{4}

Weight of Ted’s basket  = 5 \times \frac{29}{4}

Weight of Ted’s basket  = \frac{145}{4}

Weight of Ted’s basket  =  36.25 --------------------------------(1)

<u>Step 2: Finding the weight of Robin’s basket </u>

Weight of Robin’s basket  = Number of apple in the basket X  Weight of each apple

Weight of Robin’s basket  = 6 \times 6\frac{1}{2}

Weight of Robin’s basket  = 6 \times \frac{13}{2}

Weight of Robin’s basket  = \frac{78}{2}

Weight of Robin’s basket  = 39 ounces--------------------------(2)

<u>Comparing equation (1) and (2)</u>

39 - 36.25 = 2.75 ounces

Weight of Robin’s basket  >  Weight of Ted’s basket

5 0
3 years ago
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