Sally is 54 years old and her mother is 80, how many years ago was Sally's mother three times her age?

Answer:

A

Step-by-step explanation:

x + y = 4a + 7

x - y = 2a + 5

In both equations, make x the subject of the formula

x = 4a + 7 - y equation 1  

x = 2a + 5 + y equation 2

Subtract equation 2 from equation 1

2a + 2 -2y

= 2a + 2

Answer:

y = eˣ

Step-by-step explanation:

(Graphed via Desmos)

The required measure of the angle m∠H is given as 94°.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
For trapezoid, the sum of the adjacent angle is 180°
m∠H + m∠G = 180
5x + 26 + 8x - 2 = 180
x = 12

Now,
m∠H = 8x - 2
        = 8 (12) - 2
        = 94°

Thus, the required measure of the angle m∠H is given as 94°.

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Answer:

Step-by-step explanation:

Explain/define:

CIRCUMFERENCE: THE DISTANCE AROUND A CIRCLE.

DIAMETER: THE LENGTH OF A STRAIGHT LINE THROUGH THE CENTER OF A CIRCLE.

Mathematics: Formula

[tex]d=c/3.14[/tex]

[tex]d-diameter[/tex]

[tex]c-circumference[/tex]

Mathematics: Solve

To find the length of the diameter from the circumference, divide the circumference by pi. The quotient is the diameter.

3.14 is often used for pi.

[tex]39.25/3.14=12.5.[/tex]

Conclude:

Therefore, the length of the diameter of the circle is 12.5 millimeters (mm).

Answer:

hsjnzxiiandmdoqgsshzbx

Answer:3,500,640

Step-by-step explanation:

You multiply length×width×height

Sorry if I am wrong.

Answer:

Sergio's statement is false

Step-by-step explanation:

Cost of one pound of plum = 1.60

Total quantity of plum bought = 1

Weight of each plum = 1/4 pound

If he buys plum of $ 3.80 at the rate of $1.60 per pound, he purchases 2.375 pounds of plum

Weight of one plum = 1/4 pound, thus total number of plum purchased = 9.5

Since 0.5 pound of plum means half plum which is not possible to buy

Hence Sergio's statement is false

Answer:

x ≈ 12.96

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 11² = 17²

x² + 121 = 289 ( subtract 121 from both sides )

x² = 168 ( take the square root of both sides )

x = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )

Answer:

Step-by-step explanation:

The +2 is the y-intercept, what value is y when x is zero. The -5/1  is your slope. Slope is always rise over run, y over x. Over 1, down 5

Answer:

Step-by-step explanation:

sin A = [tex]\frac{opposite side}{Hypotenuse}[/tex]

Sin 29 = [tex]\frac{y}{500}[/tex]

0.4848 * 500 = y

y = 242.4 ft

Answer:

Y=242.4

Step-by-step explanation:

due to the association property the angle at the bottom left is 29 degrees

since sine property is oposite over hypothesis we get

sine(29)=y/500

500sin(29)=y

Y=242.4

Answer:

x = 1/2

Step-by-step explanation:

y = 7x+5

y = 9x+4

7x+5 = 9x+4

1=2x

x = 1/2 = 0.5

Answer:

1. [tex]x = - \frac{5}{7} [/tex]

2. [tex] x = - \frac{4}{9} [/tex]

Step-by-step explanation:

[tex]y = 7x + 5 \\ 0 = 7x + 5 \\ - 7x = 5[/tex]

[tex]\boxed{Answer:{\boxed{\green{x = - \frac{5}{7}}}}} [/tex]

[tex]y = 9x + 4 \\ 0 = 9 x + 4 \\ - 9x = 4[/tex]

[tex] \boxed{Answer:{\boxed{\green{x = - \frac{4}{9} }}}}[/tex]

Answer:

21:30 (Both numbers are multiplied by 3)

35:50 (Both numbers are multiplied by 5)

Answer:

A. g(x) = (¼x)²

Step-by-step explanation:

___________

Answer:

96 cu.ft must be the answer to the question..

Answer:

I think 96 cu.ft is the answer

Answer:

below

Step-by-step explanation:

the solution is

$2,400 * 43,560

=$104,544,000

Answer: The pattern uses the rule "Add 15", adding 15 per term. Making the next term, 60.

Answer:

You got it! B. x ≤ -7 or x ≥ 2

Step-by-step explanation:

In inequalities, a filled dot means "also including," so the value at which the filled dot is placed is also included in the inequality (hence the "or equal to"). In this case, both red dots (at -7 and 2) are filled, so both values are included in the inequality.

The red portions are part of the inequality. Looking at the arrow going from -7 and pointing to the left, we can tell that that value and the ones smaller than -7* are included, so it would be x ≤ -7.

Looking at the arrow pointing from 2 to the right, it includes 2 and all the numbers to the right of it, so the inequality would be x ≥ 2.

So, the final answer is B. x ≤ -7 or x ≥ 2.

*the value of negative numbers decreases as the numbers themselves increase (-5 is larger than - 36, for example).

Answer:

3/28

Step-by-step explanation:

1/7 times 6/8

Answer:

$362.25

Step-by-step explanation:

Profit made per product :

Soft pretzel = $5.25 - $3.50 = $1.75

Candied apple = $3.50 - $1.75 = $1.75

For every 2 candied apple sold, 7 soft pretzel is sold :

If 161 sold pretzel is sold, the number of candied apple sold will be :

(161 / 7) * 2

23 *. 2 = 46 candied apple was sold

Profit made on product sold :

Soft pretzel = $1.75 * 161 = $281.75

Candied apple = $1.75 * 46 = $80.5

$(80.5 + 281.75) = $362.25

The solution is: 16.67% is the probability of picking the most expensive car from a range of 6 new cars.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, we have,

given that,

the most expensive car from a range of 6 new cars.

so, total sample space = 6

the number of favorable outcome = 1

so, probability = 1/6

Now, the word “expensive” was used to confuse you but simply put, the probability of getting “the most expensive car” is 1/6.

It is 1/6 because there is nothing that heightens its chances of being picked over the other cars,

hence the probability of any car will be equal to that of the “most expensive car”.

And for a percentage:

(1/6) x (100) = 16.67%

Hence, The solution is: 16.67% is the probability of picking the most expensive car from a range of 6 new cars.

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Answer:

See below

Step-by-step explanation:

Remember SOHCAHTOA

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

In this case we use TOA.

tan(71) = x/34

x = tan(71) * 34

x = 98.7

Answer:

x = 33

Step-by-step explanation:

(x + 13) + (4x + 2) = 180

x + 13 + 4x + 2 = 180

5x + 15 = 180

5x = 180 - 15

5x = 165

x = 165/5

x = 33

Check:

(x + 13) + (4x + 2) = 180

(33 + 13) + 4(33) + 2 = 180

46 + 132 + 2 = 180

46 + 134 = 180

Answer:

56 ÷ 0.7 is 80

0.7 ÷ 56 is 0.0125

Answer:

7%

Step-by-step explanation:

.07x1 is .07, therefore tax rate

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Answer:

Use Microsoft Math Solver

Step-by-step explanation:

it helps with all your math problems