What is the solution to this equation?
3(a - 4) + 1 = 9 - a
O a = 3
a = 5
O a = 6
O a = 10

Answer:

There would be 12

Step-by-step explanation:

Alberto has 12 Dimes and 21 Nickels in his pocket.

Dimes value = 0.10$

Nickels value = 0.05$

Let d = number of dimes = 0.10d

Let d+9 = number of nickels = 0.05(d + 9)

Value of the Dimes + Value of the Nickels = total value of the coins

Write the equation:

0.10d + 0.05(d + 9) = 2.25

Distribute:

0.10d + 0.05d + 0.45 = 2.25

0.15d + 0.45 = 2.25

Subtract 0.45 from each side:

0.15d = 1.80

Divide to find the number of dimes.

d = 12

The number of nickels is d +9 = 12 + 9 = 21

Alberto has $2.25 in dimes and nickels in his pocket. He has 12 Dimes and 21 Nickels in his pocket.

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Answer:

x= 79°     y= 22°

Step-by-step explanation:

x is the same as 79

79+79= 158

180° in a triangle

180-158= 22°

Answer:

B) $1050

Step-by-step explanation:

[tex]450(7/3)=(450)(7)/3=3150/3=1050[/tex]

Hope this helps

Step-by-step explanation:

f(x) = 2x² + 5√(x - 2)

Domain

√(x - 2) ≥ 0

x - 2 ≥ 0

x ≥ 2

x is greater than or equal to 2

Answer: Greater than

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

1/2=3/6

1/3=2/6

2/6+3/6=5/6

Answer:

Each small truck can hold a total of 110 boxes.

Step-by-step explanation:

It says three small delivery trucks can hold 330. That meant all three together. So you just have to do 330 divided by 3 and you get 110. So that's the number of boxes ONE small truck can hold. Also, If u do it backward, 3 x 110 =330.

Using compound interest, it is found that the correct options are:

1. True.

2. True.

Compound interest:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

Item 1:

Then:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

[tex]A(x) = 10000\left(1 + \frac{0.05}{2}\right)^{2x}[/tex]

[tex]A(x) = 10000(1.025)^{2x}[/tex]

Hence option 1 is True.

Item 2:

Then:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

[tex]A(x) = 10000\left(1 + \frac{0.05}{4}\right)^{4x}[/tex]

[tex]A(x) = 10000(1.0125)^{4x}[/tex]

Hence option 2 is also True.

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Answer:

dude i have the same question

Step-by-step explanation:

WHAT IS THE ANSWER

Answer:

hope it helps you........

Answer:

(−8,0)

Step-by-step explanation:

The x- intercept is (-8, 0)

A line's slope and intercept give information on its steepness and the point at which it crosses an axis, respectively. The linear relationship between two variables is defined by the slope and intercept, which can be used to calculate the average rate of change.

Given:

Equation: y= -1/4 x + 2

Now, for x- intercept take y= 0

So, 0 = 1/4x + 2

1/4x = -2

x= -8

Hence, the x- intecrcept is (-8, 0)

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Answer:

ΔOGD ≅ΔPRC

Step-by-step explanation:

SAS

Answer:

14

put the biggest number in the from and the smallest number in the back then add it

Answer:

1 -66

2. 162

3.11/-2

4. 8/-11

5.12/0

6. 0

7. 15/14

8. 2/-5

Step-by-step explanation:

Answer:

x>2 or (2,∞)

Step-by-step explanation:

if x≤2, 3*|2-x| = 3*(2-x) = 6-3x

3*|2-x| +3x-6 = (6-3x) + 3x-6 = 0  ... f(x) -> ∞   denominator = 0

if x>2, 3*|2-x| = 3*-(2-x) = -6+3x

3*|2-x| +3x-6 = (-6+3x) + 3x-6 = 6x - 12 >0

A = 1 and B = 5

3a + 11 = 14 || 3a = 3 || a = 1

7b - 13 = 22 || 7b = 35 || b = 5

Answer:

A= 1

B = 5

Step-by-step explanation:

3a + 11 = 14

A = 1

7b - 13 = 22

7b = 35

B = 5

Answer:

 B.  36°

Step-by-step explanation:

Dilation does not change the angle measures or the direction of the lines. Angle F is the same as corresponding angle F'.

Answer:

C. No, because one x-value corresponds to two different y-values.

Step-by-step explanation:

Answer:

(-45,0)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

6.724 is larger than 6.719

Answer:

A= 3 1/3

Step-by-step explanation:

Considering the definition of perpendicular line, the correct option is option C): the line passing through (0,-9) and (5, -8) is perpendicular to the line 10x + 2y = 2.

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.

m is the slope.

b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:

m= (y₂ - y₁)÷(x₂ - x₁)

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 10x + 2y=2. Expressed in the form y = mx + b, you get:

2y=2 - 10x

y= (-10x +2)÷ 2

y= -10/2x +2/2

y= -5x +1

The line has a slope of  -5. If you multiply the slopes of two perpendicular lines, you get –1, you get:

-5× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-5)

slope perpendicular line= 1/5

The line through two points must have a slope equal to 1/5. So you calculate the slope of each line that passes through two points as follows:

Since the perpendicular line must have a slope equal to 1/5, the line passing through (0,-9) and (5, -8) is the correct line.

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Step-by-step explanation:

work is shown and pictured

Based on the drawing obtained from the description, the location of

Manu's farm is located relatively south to Dogbe's farm.

Reasons:

The bearing of the cottage to Dogbe's farm = 200°

The distance Dogbe walks from the cottage to his farm = 5 km

The bearing of the cottage from Manu's farm = 110°

The distance Manu walks from the cottage to his farm = 3 km

Required:

The distance and between the two farms.

Solution:

Please find attached a drawing showing the position of the cottage

By cosine rule, we have;

Where;

b = The distance Dogbe walks from the cottage to his farm = 5 km

c = The distance Manu walks to his farm from the cottage = 3 km

a = The distance between the two farms = d

A = The angle between the paths to the cottage from the farms = 50°

By plugging in the values, we have;

d² = 5² + 3² - 2 × 5 × 3 × cos(50°)

d = √(5² + 3² - 2 × 5 × 3 × cos(50°)) ≈ 3.8

Required:

The bearing of Manu's farm from Dogbe's

Solution:

By sine rule, we have;

Which gives;

[tex]\displaystyle sin(C) = \mathbf{\frac{3 \times sin(50^{\circ})}{\sqrt{5^2 + 3^2 - 2 \times 5 \times 3 \times cos(50^{\circ})} }}[/tex]

[tex]\displaystyle \angle C = arcsine \left(\frac{3 \times sin(50^{\circ})}{\sqrt{5^2 + 3^2 - 2 \times 5 \times 3 \times cos(50^{\circ})} } \right) \approx 38 ^{\circ}[/tex]

The bearing of Manu's farm from Dogbe's = 200° + ∠C

Therefore;

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Answer:

x=33.5

Step-by-step explanation:

_________

[tex] \: [/tex]

[tex]3 \frac{1}{2} : 1 \frac{1}{7} [/tex]

[tex] = \frac{3 \frac{1}{2} }{1 \frac{1}{7} } [/tex]

[tex] = \frac{ \frac{7}{2} }{ \frac{8}{7} } [/tex]

[tex] = \frac{7}{2} \times \frac{7}{8} [/tex]

[tex] = \frac{49}{16} [/tex]

[tex] = 49 : 16[/tex]

Answer:

Yes, This is a repeating decimal

No, This is a decimal that neither terminates or repeats

No, This is a decimal that neither terminates or repeats

Yes, This is a terminating decimal

Answer:

In 2 hours

Step-by-step explanation:

10/3 8/2

10-6 = 4

6 from 3*2(aka the hours)

8-4 = 4 from 2*2(aka the hours)

you can also set this up like

10-3x=8-2x and solve for it

Answer: At the 2 hour mark.

Step-by-step explanation:

10-3=7. 7-3=4

8-2=6. 6-2=4