Bert looks around at an assembly. He notices his younger sister to his right and his older
brother 3 meters ahead of him. If Bert's brother and sister are 5 meters apart, how far apart
are Bert and his younger sister?
meters

Loan A has the lower monthly payment

=========================================================

Explanation:

Loan A is at a rate of 6.9% over 5 years. The table says that if you borrowed $100 at this interest rate and time period, then the monthly payment would be $1.98 per month.

However, you are borrowing $17,601 which is 176.01 times greater than 100 since (17601)/(100) = 176.01

So 1.98*176.01 = 348.4998 = 348.50 is the monthly payment of loan A.

------------------

Meanwhile, loan B has an interest rate of 8.9% and lasts for 3 years. Use the table to see that borrowing $100 at this rate and time means the monthly payment is $3.18

The multiplier this time is 162.90 because (16290)/(100) = 162.90

Therefore, 162.90*3.18 = 518.022 = 518.02 is the monthly payment of loan B.

--------------------

To summarize, we have these monthly payments

Loan A has the lower monthly payment

Answer:

2x+4+3x+4

5x+8

2(2x+4)+x

Step-by-step explanation:

• 2x+4+3x+4 would be equal to 5x+8

because you will group like terms: 2x+ 3x=5x and 4+4=

• 2(2x+4)+x

multiple what's outside the bracket by what's inside .

4x+8+x

4x+x =5x and 8

sooo 5x+ 8

Hope this helps

Answer:

1.15

Step-by-step explanation:

(1.8*10-3)/(2*10-7)

(18-3)/(20-7)

15/13

1.15

..................

Answer:

x= 425

Step-by-step explanation:

Answer:

correct answer is A. because the square root of 122 is 11.06 which means its between 11 and 12, not 10 and 11

Step-by-step explanation:

Answer:

£2121.8

Step-by-step explanation:

2000 X 1.03 X 1.03 = 2121.8

the domain is

[tex]x \geqslant - 6[/tex]

Answer:10.5

Step-by-step explanation: I hope this helps

The height, x, of the right trapezoidal prism is 10.5 ft.

Given that, the volume of this right trapezoidal prism is 341.25 ft³.

We need to find the height x, of the prism.

The formula to find the volume of this right trapezoidal prism is Volume=BH.

Where B=Area of the Base and H=Height.

Area of the Base(Trapezium)=1/2(a+b)×h

Where a and b are parallel sides of the trapezium and h= height of the trapezium.

Now, the area of the Base=1/2(8+5)×5=32.5 ft²

The volume of the right trapezoidal prism=32.5×x

⇒341.25=32.5×H

⇒x=10.5 ft

Therefore, the height, x, of the right trapezoidal prism is 10.5 ft.

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The ordered numbers from least to greatest are 33/100 = 0.33, 4/10 = 0.4, 5/10 = 0.5, 6/100 = 0.06, 3/4 = 0.75.

Divide the top number or numerator into the bottom number or denominator.

When organizing decimal numbers you need to follow the same rules than when organizing regular numbers. For example, 0.5 is greater than 0.4 because 5 is greatest than 4.

Based on this, the correct order is:

Learn more about numbers in: https://brainly.com/question/17429689

Answer: 0 5 10

Step-by-step explanation:

y = 5(0)

y = 0

y = 5(1)

y = 5

y = 5(2)

y = 10

There are total 6

Look at the attachment for proof

If we join all three diagonals we get 6 equilateral triangle

Answer:

There are 6 equilateral triangles in a regular hexagon.

Step-by-step explanation:

A regular hexagon can be dissected into 6 equilateral triangles by adding a center point .

Answer:

$2.33

Step-by-step explanation:

6.99/3 = 2.33

Divide cost of 3 boxes by 3:

6.99/3 = 2.33

1 box cost $2.33

Answer:

1/4 cup

Step-by-step explanation:

9/4 / 9 =

9/4 *1/9 the nines cancel out to leave

1/4

The cost after x years is the initial cost minus the amount of decrease after the duration of x years

Given Data

Let us find 8.5% of $25,399

= 8.5/100*$25,399

= 0.085*25399

= 2158.915

Cost after x years will be

Final cost = 25,399 - 2158.915*x

Learn more about percent decrease here:

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Using the Empirical Rule, it is found that 68% of the data should be between 25.5 and 30.5.

It states that, for a normally distributed random variable:

In this problem, we have that:

Within one standard deviation of the mean, hence, 68% of the data should be between 25.5 and 30.5.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

Answer:

B. 2^-6

C. 1/4³

D. (1/4) (1/4) (1/4)

Step-by-step explanation:

4^-3 is the same as 1/4³ so it is equivalent

46-3 = 1/64 so (1/4) (1/4) (1/4) is equivalent because it also equals 1/64

2^-6 is the same as 1/2^6 which equals 1/64 so it is also equivalent

B, C, and D are your answers

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

1. [tex]x^2-6x+8=0[/tex]

2. [tex](x-4)(x-2)=0[/tex]

3. [tex]x=4 \text{ and } x=2[/tex]

4. [tex]x=4 \text{ and } x=2[/tex]

Step-by-step explanation:

1. When using substitution all we do would be is substituse the y for a 3.

This leaves us with the equation:

[tex]3=-x^2+6x-5[/tex]

Rewriting it we get:
[tex]0=-x^2+6x-8[/tex]

or if we shift the 0 to the other side:

[tex]x^2-6x+8=0[/tex]

2. In order to factor the equation we can use the butterfly method:

[tex]\left[\begin{array}{ccc}1&-4\\1&-2\end{array}\right][/tex]
So it factors out to:

[tex](x-4)(x-2)=0[/tex]
You can also use the quadratic formula.

3. To find the solutions we just set each factor to 0
[tex]x-4=0\\\text{and}\\x-2=0[/tex]
So the x-values would be:
[tex]x=4 \text{ and } x=2[/tex]

4. To find the solution to the system we just plug in the values and it turns out to be the same numbers as before.

Answer:

[tex]\frac{1}{784}[/tex]

Step-by-step explanation:

4⁻² * 7⁻²

Use the Negative Exponent Property: x⁻ⁿ = [tex]\frac{1}{x^n}[/tex]

[tex]4^{-2}*7^{-2}\\\\ \frac{1}{4^2}*\frac{1}{7^2}\\\\ \frac{1}{16}*\frac{1}{49}\\\\ \frac{1}{784}[/tex]

Hope this helps!

[tex]\bigstar{\boxed{\pmb{Area\:of\:a\:Rectangle:\:A=LW}}[/tex]

[tex]\sf{A=8*5}[/tex]

[tex]\sf{A=40~ft^2}[/tex]

[tex]\rule{200}{2}[/tex]

[tex]\sf{A=4*8}[/tex]

[tex]\sf{A=32~ft^2}[/tex]

Now, add the areas:-

[tex]\sf{A=40+32+32~(since~there~are~2~walls~with~this~area)}[/tex]

[tex]\sf{A=72+32}[/tex]

[tex]\sf{A=104}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

Sin 21 = p/b

0.358 = 5.5 / x

x = 5.5 / 0.358

therefore , x = 6.97

Step-by-step explanation:

Use sin formula

which is perpendicular/ base

just put the value

J is equal to 24 ____________________________

Answer:

Step-by-step explanation:

Using scientific notation, it is found that the value that is equals to 6 x 10^5 is given by:

A (3 x 10^8) (2 x 10^-3)

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

When two numbers are multiplied, we multiply the bases and add the values of the exponents, hence:

[tex](3 \times 10^8) \times (2 \times 10^{-3}) = 6 \times 10^5[/tex]

More can be learned about scientific notation at https://brainly.com/question/16394306

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(You should take the full screenshot)

Since no percentages were provided (at least not in the ss), we have to approximate?

The space that parrots and sparrows take up is almost half the circle (we'll say 48-49%)

So, we can convert that to fraction : 48/100 or 49/100

There is 1/2 of the birds seen were either parrots or sparrows.

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

Figure shows the birds seen.

Now, We have;

By figure the half of circle is shown either parrots or sparrows.

Hence, The value of fraction of the birds seen were either parrots or sparrows is,

⇒ 1/2 of 100%

⇒ 1/2 × 100/100

⇒ 1/2

Therefore,  The value of fraction of the birds seen were either parrots or sparrows is, 1/2

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b is a answer

Step-by-step explanation:

formula

=a+b/2×h

Answer: 126 mm^2.

Step-by-step explanation: When finding the area of a trapezoid, you need to add two bases, multiply the height, and divide it all in half.  The steps are done below:

Have a great day! :)

Answer:

0.53

Step-by-step explanation:

A fraction bar can also mean division. So 8/15 the fraction also means 8÷15.

8÷15 = 0.5333333...

Rounding to the nearest hundredth means there should be only two numbers to the right of the decimal point.

8/15 ~= 0.53

Answer:

I don't see the problem, Where is the image?

Zeros are

Write in factor form and solve

Points given (-2,16)

Solve for n

On solving we get

So the function is

Answer:

-4x³ - 28x²- 48x

Explanation:

→ so equation: a(x+4)(x+3)(x+0)

→ substitute these points to find a

so the graphed cubic equation: