Walt and Hank collect quarters from different states. Walt collected q quarters. Hank collected four fewer quarters than Walt. The combined dollar value of their coins was $17.50. The following equation represents the situation.

0.25q + 0.25(q - 4) = 17.50

How many quarters does Walt have?

A.
33 quarters
B.
35 quarters
C.
37 quarters
D.
43 quarters

Answer:

$2,693.12 will the employee have eared at the end of 5 years.

Step-by-step explanation:

The formula of compound interest:

[tex]A=P(1+r)^n[/tex]

[tex]I[/tex] = A-P

A= The amount in the account after n years

P= Principal

r= rate of interest annually

n= time in years.

An employee put $5,000 in retirement account that offer 9% interest compounded annually.

Here P=$5,000, r=9%=0.09, n= 5 years

[tex]A=5,000(1+0.09)^5[/tex]

   =$7,693.12

The interest = A-P

                   =$(7,693.12-5,000)

                   =$2,693.12

$2,693.12 will the employee have eared at the end of 5 years.

Answer:

  157

Step-by-step explanation:

The circumference of a circle with diameter d is given by ...

  C = πd

The circumference of a 50 meter circle will be ...

  C = π(50 m) ≈ 157.08 m

It will take about 157 meters of edging to outline the smaller garden.

Answer:

B) 12

Step-by-step explanation:

Opposite sides are congruent

Answer:

D. survey those seventh-grade students who participated in this year’s art fair

Step-by-step explanation:

The people who participated in the art fair will most likely want to go to the art museum, which is a biased result.

Answer:

it's d

Step-by-step explanation:

hope it helps :)

Answer:

i think the answer is 1/3 but i'm not positive

Step-by-step explanation:

The slope of a linear line which is passing through the lines  (0,-5), (3, -4) , (6,3) is 1/3. The slope of a straight line is the ratio of y values of two points to the difference in x values of the two points.

In mathematics, slope of a line describes the  steepness or inclination and the direction of the line. Slope of a line is calculated based on the characteristic of the line.

For straight line passing through some points, the x and y coordinates are related by the following expression:

y = mx +c

Where c is the intercept m be the slope.

For a line passing through two points, the slope m is :

m = y2 - y1 / (x2- x1)

Consider the line passing through the points (0, -5) and (3, -4). The slope m = -4 - (-5) / (3 - 0) = 1/3

Similarly if we consider the points (3, -4) and (6, -3)  we get the same slope 1/3.

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this is super complicated

Answer:

69

Step-by-step explanation:

the inverse cosine of 2.3/6.4 is 69 degrees

The numbers that bes represent the range, lower quartile and upper quartiles is:

Range:

Range = Maximum Value - Minimum Value

Range = 230 - 111

Range = 119

Lower Quartile (Q1):

Lower Half: 111, 198, 200, 204, 210

Median of Lower Half = (200 + 204) / 2 = 202

Upper Quartile (Q3):

Upper Half: 211, 216, 218, 224, 230

Median of Upper Half = (216 + 218) / 2 = 217.

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Answer:

The answer is -6, -8, -10 and -43.

Step-by-step explanation:

You can solve it :

-2x > 10

x < 10 ÷ -2

x < -5

(take note: you have to change symbol when it is divided by a negative no.)

Then choose the numbers from the options that satisfies the inequality, x < -5

Answer:

-10

-6

-8

-43

Step-by-step explanation:

(-2)*(-10)=20, 20>10

(-2)*(-4)=8, 8<10

(-2)*2=-2, -2<10

(-2)*(-6)=12, 12>10

(-2)*(-5)=10, 10=10, so it is not true

(-2)*(-8)=16, 16>10

(-2)*0=0, 0<10

(-2)*(-43)=86, 86>10

hope this helps :D

The only definite conclusion from the given information is that the product of b and c is positive, while the signs of a and b individually cannot be determined conclusively. Here option B is correct.

The product of a and c is negative: We cannot determine the signs of a and c individually, but from the given information, we can say that their product is negative. This is because the sum of a and c is 0 (a + b + c = 0), and b is positive.

If both a and c were positive or negative, their sum would be positive or negative, respectively. Therefore, one must be positive and the other negative for their sum to be zero.

The product of b and c is positive: As mentioned above, we know that b is positive and the product of a and c is negative. Since the sum of a, b, and c is zero, if b is positive and the product of a and c is negative, then the product of b and c must be positive to balance the equation.

The product of b and O is 0: This statement is always true because any number multiplied by zero is zero.

The product of a and b is positive: We cannot determine the signs of a and b individually based on the given information. As explained earlier, we only know that their sum is positive and the product of a and c is negative.

Therefore, the only statement that is guaranteed to be true based on the given information is that the product of b and c is positive. Here option B is correct.

Answer:

x=12, both angles are 144°

Step-by-step explanation:

Since the angles are Z-angles (lookup 'alternate exterior angles') they are the same.

This means that 10x+24 = 6x+72, which can be simplified to

10-6x = 72-24

4x = 48

x = 12

Substitute x=12 in either expression and you get 144.

Answer:

(x-9)^3

Step-by-step explanation:

so first you see "the cube" which means ^3 to whatever you are going to have

the difference means the answer of a subtraction equation

the the difference between "a number" (x) and 9 is (x-9)

then you see that when "adding" those together you get (x-9)^3

hope this helps

Answer:

Step-by-step explanation:

I got A because the probability of rolling a 2 is 1/6 chance. Then the probability of getting a number greater than 5 is a 1/6 chance because there’s only one number bigger than five on a die. So I added them together got 2/6 and simplified down is 1/3

Answer:

That's right.

A 2 on the first roll means 1 possibility out of 6.

The only number greater than 5 in a dice is 6, therefore it's the same case from above.

1/6 on first roll

1/6 on second roll  

[tex]\frac{1}{6} * \frac{1}{6} = \frac{1}{36}[/tex]

Answer:

I think that it is 295 degrees

Step-by-step explanation:

Answer:

[tex]U_n=5(-2)^{n-1}[/tex]

Step-by-step explanation:

Given a geometric sequence, the nth term of the geometric sequence is obtained by using the formula:

[tex]U_n=ar^{n-1}[/tex]

If the eleventh term, [tex]a_{11}=5120[/tex]

and the common ratio, r=-2.

Then:

[tex]5120=a(-2)^{11-1}\\a=\frac{5120}{2^{10}} =5[/tex]

The explicit formula for the sequence is:

[tex]U_n=5(-2)^{n-1}[/tex]

The measurement of arc QS is 168 degree.

Now, Let the center of the given circle is O .

And central angle is double of the angle subtended by the arc.

So central angle is twice of 84 degree.

Hence, the measure of QS is,

= 2 x 84

= 168 degree

So, the central angle is of measurement 168 degree.

Therefore, The measurement of arc QS is 168 degree.

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Answer:

46.4 & 11.6

Step-by-step explanation:

I just did some guess and check, but 46.4/11.6 = 4 and 46.4+11.6 = 58

Answer:

234 inches

Step-by-step explanation:

The prism is 3× larger so you would multiply 78 by 3

Final answer:

To find the surface area of a similar prism three times as large, you need to square the scaling factor and multiply it by the original surface area.

Explanation:

The surface area of a triangular prism is 78 square inches. Given that the area scales in proportion to the square of the linear dimensions, if a similar prism is three times as large, the surface area of the larger prism would be 3² = 9 times the original surface area. Therefore, the surface area of the similar prism that is three times as large would be 78 square inches x 9 = 702 square inches.

Answer:

$55.89

Step-by-step explanation:

To figure out the discounted price, you multiply the original price (85.98) by the percentage, (35% = .35) Then subtract that number, (30.093) from the original price to find the discounted price.

Answer:

$24.56

Step-by-step explanation:

85.98 / 35 = 2.456

2.456 x 10 = 24.56

Answer:

x = -24/5

Step-by-step explanation:

2x – 3 + 3x = – 27

Combine like terms

5x -3 = -27

Add 3 to each side

5x-3+3 = -27+3

5x = -24

Divide each side by 5

5x/5 = -24/5

x = -24/5

Answer:

x= -24/5

Step-by-step explanation:

To solve, we need to get x by itself.

2x – 3 + 3x = – 27

Combine like terms

(2x+3x)-3= -27

5x-3=-27

Add 3 to both sides

5x-3+3=-27+3

5x= -24

Divide both sides by 5

5x/5= -24/5

x= -24/5

Answer:

0

Step-by-step explanation:

An integer is a whole number with no decimals.  0 is the only one.

Answer:the last answer is pi not square root

Step-by-step explanation:

Answer:

right triangle

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Firstly, do the numbers inside the absolute value bars.

-6-(-3)

The two negatives that are together turn to a addition sign.

-6+3

You can just subtract 6 and 3 which is 3 and add the - to it.

|-3|

The -3 turns to a 3 since the absolute value bars make all numbers positive within the bars.

Hope this helped.

Answer:

The slope is -39/98

also known as m=-39/98

Answer:

147 pi = one-third pi (7 squared) (h) 147 pi = one-third pi h

explanation:

Answer:

b. 147 pi = one-third pi (7 squared) (h)

Step-by-step explanation:

did test on e2021

Answer:

x = 17

Step-by-step explanation:

3(x - 4) - 12 = 2(x - 6) + 5

3x - 12 - 12 = 2x - 12 + 5

3x - 24 = 2x - 7

3x - 2x = -7 + 24

x = 17

Answer:

x=17

Step-by-step explanation:

3(x - 4) - 12 = 2(x - 6) + 5

Distribute

3x -12 -12 =2x-12 +5

Combine like terms

3x-24 = 2x -7

Subtract 2x from each side

3x-2x -24 =2x-2x-7

x-24 = -7

Add 24 from each side

x-24+24 = -7+24

x = 17

The inner product of vectors (8,4) and (2,4) is 32, and since the dot product is not zero, the vectors are not perpendicular.

The inner product (also known as the dot product) of two vectors can be calculated by multiplying the corresponding components of the vectors and then summing those products. For the vectors (8,4) and (2,4), the inner product is calculated as (8 × 2) + (4 × 4), which equals 16 + 16, and thus the inner product is 32.

To determine if the vectors are perpendicular, we need to check if their dot product is zero. In this case, since the dot product is 32, not zero, the vectors are not perpendicular to each other.

Therefore, the correct answer is C: 32; no.

Final answer:

By setting up and solving the equation 3x - 4 = 2x + 6, we find that the number in question is 10. This process involves aligning the equation to solve for the variable x, representing the number we seek.

Explanation:

If we multiply a number by 3 and then subtract 4, the result is the same as adding 6 to twice the number. To find this number, we can set up an equation based on the given conditions.

Let's let the number be x. According to the first condition, multiplying x by 3 and then subtracting 4 can be represented as 3x - 4. According to the second condition, adding 6 to twice the number can be represented as 2x + 6.

The two expressions are equal, so our equation is 3x - 4 = 2x + 6.

Subtract 2x from both sides: x - 4 = 6.

Add 4 to both sides: x = 10.

Therefore, the number we are looking for is 10.

The height of the fire department is 244.72 m

Step-by-step explanation:

A)

Angle of elevation = 73°

The distance between the two buildings = 46 m

tan 73° = b/46

tan 73° = 3.27

tan 73° = b/46

3.27 = b/46

b = 3.27 x 46

b = 150.42 m

B)

Angel of depression= 64°

The distance between the two buildings = 46 m

tan 64° = a/46

tan 64° = 2.05

tan 64° a/46

2.05 = a/46

a = 2.05 x 46

a = 94.3 m

The total height of the fire department building = a + b

= 94.3 + 150.42

= 244.72 m

The height of the fire department is 244.72 m

Answer:

0

Step-by-step explanation:

If the event is not possible it's not going to happen

The perimeter of the triangle is 15.4 units.

Step-by-step explanation:

The triangle has vertices at (-1,5), (4,2), and (0,0).

To find the perimeter of the triangle, you need to find the distance of the three points which is the length of the three sides of the triangle.

Let us consider the points as A (-1,5) and B (4,2) and C (0,0).

The distance formula is given by :

⇒ [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

Distance of AB :

A (-1,5) ⇒ (x1,y1)

B (4,2) ⇒ (x2,y2)

⇒ [tex]\sqrt{(4+1)^{2}+(2-5)^{2} }[/tex]

⇒ [tex]\sqrt{5^{2}+-3^{2} }[/tex]

⇒ [tex]\sqrt{25+9}[/tex]

⇒ [tex]\sqrt{34}[/tex]

⇒ 5.8

∴ The length of the side AB of the triangle is 5.8 units.

Distance of BC :

B (4,2) ⇒ (x1,y1)

C (0,0) ⇒ (x2,y2)

⇒ [tex]\sqrt{(0-4)^{2}+(0-2)^{2} }[/tex]

⇒ [tex]\sqrt{16+4 }[/tex]

⇒ [tex]\sqrt{20}[/tex]

⇒ 4.5

∴ The length of the side BC of the triangle is 4.5 units.

Distance of CA :

C (0,0) ⇒ (x1,y1)

A (-1,5) ⇒ (x2,y2)

⇒ [tex]\sqrt{(-1-0)^{2}+(5-0)^{2} }[/tex]

⇒ [tex]\sqrt{1+25}[/tex]

⇒ [tex]\sqrt{26}[/tex]

⇒ 5.1

∴ The length of the side CA of the triangle is 5.1 units.

Now, the perimeter of the triangle is given by :

Perimeter = Sum of the lengths of all three sides of the triangle.

⇒ 5.8 + 4.5 + 5.1

⇒ 15.4 units.

∴ The perimeter of the triangle is 15.4 units.