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3 years ago

Question:4 please help!

Mathematics

1 answer:

Ket [755]3 years ago

3 0

Answer:

2) 2x-6

Step-by-step explanation:

"6 less than" is subtracting 6 from "twice the value of x" or 2x. So the expression is 2x - 6.

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A student says that 2 1/4 + 1 2/4 =5. Why is that answer wrong?

saw5 [17]

2 1/4 + 1 2/4 ≠ 5

Why?

2 1/4 + 1 2/4
=3 3/4

The answer is wrong because the student added wrong. The real answer is 3 3/4.

8 0

4 years ago

I DONT KNOW THESE! HELP!

kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

$2y+18=3x-1\\ \\6x-3=17-5y$

Solve this system of two equations:

$\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.$

Multiply the first equation by 2 and add two equations:

$2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2$

Substitute it into the first equation:

$2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5$

21. Opposite angles in the parallelogram are congruent, so

$11x+5=10y+6$

Consecutive angles are supplementary, so

$6x-y+11x+5=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.$

From the second equation

$y=17x-175$

Substitute it into the first equation:

$11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12$

22. Opposite angles in the parallelogram are congruent, so

$2x-5=3y-12$

Consecutive angles are supplementary, so

$2x-5+7y+x=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.$

From the first equation

$x=-3.5+1.5y$

Substitute it into the second equation:

$3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22$

23. Opposite sides in the parallelogram are congruent, so

$2x+9=4y-9\\ \\3x-5=2y+8$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.$

Multiply the second equation by 2 and subtract it from the first equation:

$2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11$

Substitute it into the first equation:

$2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10$

3 0

3 years ago

Given right triangle QRS, what is the value of sin(30°)?

Eva8 [605]

Answer:

1/2

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid

Dima020 [189]

Answer:

$L(t) = 4600\bigg(\dfrac{6}{7}\bigg)^{\frac{t}{2.4}}$

Step-by-step explanation:

We are given the following in the question:

Number of locusts on first day = 4600

Gain in locust population every 2.4 days =

$\dfrac{6}{7}$

Thus, we can write the following function to model locust population in t days.

$L(t) = 4600\bigg(\dfrac{6}{7}\bigg)^{\frac{t}{2.4}}$

is the required function.

L(t) is a dependent function on t, L(t) is locusts population and t is amount of time in days.

4 0

3 years ago

A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with t

Annette [7]

Answer:

ANSWER LINK

8 0

3 years ago