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3 years ago

Simplify 7(3y-5)+2(4y+3)

Mathematics

2 answers:

Vesna [10]3 years ago

6 0

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{29y - 29}}}}}$

Step-by-step explanation:

$\sf{7(3y - 5) + 2(4y + 3)}$

Distribute 7 through the parentheses

Similarly , distribute 2 through the parentheses

$\dashrightarrow{ \sf{21y - 35 + 8y + 6}}$

Collect like terms

$\dashrightarrow{ \sf{21y + 8y - 35 + 6}}$

$\dashrightarrow{ \sf{29y - 35 + 6}}$

Calculate

$\dashrightarrow{ \sf{29y - 29}}$

Hope I helped!

Best regards! :D

laila [671]3 years ago

4 0

Step-by-step explanation:

7*3y - 7*5 + 2*4y + 12

= 21y - 35 + 8y + 6

= 29y - 29

= 29(y-1)

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Suppose 12% of the students chose to study French their freshman year, and that meant that there were 21 such students. How many

AleksAgata [21]

Answer:

154 students

Step-by-step explanation:

First get the total number of students .

This can be gotten by

12% of A = 21

Where A represents the total number of students.

12% represents the % of A that chose to study French and 21 is the number of students that studied French .

Therefore,

12% /100% x A = 21

0.12 x A = 21

Divide both sides by 0.12

0.12/0.12 x A = 21/0.12

A = 175

The total number of students is 175.

If 21 chose to study French their freshman year ,number of students that chose not to will be total number of students minus number of those who chose to study French.

That’s

175 - 21

= 154

154 students chose not to study French their freshman year

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3 years ago

Arianna has a large piece of fabric that she wants to use to make some scarves. The number N of scarves she can make is inversel

kow [346]

She can make 12 scarves if the area of each scarf is 4 square feet.

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3 years ago

Which is traveling faster, a car whose velocity vector is 201 + 25), or a car whose velocity vector is 30i, assuming that the un

Snowcat [4.5K]

Answer:

2nd car is running faster than the first car by 2.01 units.

Step-by-step explanation:

Let's assume that

the velocity of first car,

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and the velocity of second car

$v_2\ =\ 30i$

=> speed of first car,

$u_1\ =\ \sqrt{(20)^2+(25)^2}$

$=\ \sqrt{400+625}$

$=\ \sqrt{1025}$

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and speed of second car,

$u_2\ =\ \sqrt{(30)^2+(0)^2}$

= 30 units

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= 2.01 units

Hence, 2nd car is running faster than the first car by 2.01 units.

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3 years ago

On a coordinate plane, a rectangle is shown with points S (4, negative 4), R (4, negative 10), Q (negative 7, negative 10), and

Wittaler [7]

Answer:

The coordinates of the image of vertex P after reflection is (-7, 4)

Step-by-step explanation:

Given that we are to reflect the point P across the x-axis, we have;

Reflection of a point across the x-axis gives;

When a point is reflected across the x axis, the y-coordinate changes to the opposite sign while the x-coordinate remains unchanged such that (x, y) becomes (x, -y)

Therefore, given that the point P = (-7, -4), we have;

Coordinates of point P before reflection Reflection = (-7, -4), coordinates of point P after reflection Reflection P' = (-7, 4).

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2 years ago

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Amy works for 36 hours per week for 10 weeks during the summer, making $\$3000$. If she works for 30 weeks during the school yea

Zinaida [17]

Answer:

12 hours per week

Step-by-step explanation:

1. Find how many hours she worked to make $3,000 (36x10=360 hours)

2. divide 360 hours by 30 weeks

she would need to work 12 hours per week to make $3,000

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3 years ago