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3 years ago

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plz help Which problem solving strategy would be best to solve this problem? Your friend's house is 12 miles from your home. You

r school is one-third the way from your friend's house and your home. The park is one-fourth the way from the school to your friend's house. How far is the park from your home? A. guess, check and revise B. write an equation C. make a table, chart or list D. make a model or diagram

1 answer:

e-lub [12.9K]3 years ago

3 0

Answer:

1 mile away

Step-by-step explanation:

the school is 4 miles away and 1/4 of 4 is 1. Im not sure tho

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7 less than the product of a number n and 1/6 is no more than 98

VikaD [51]

Answer:

1/6, 1/6, 630

Step-by-step explanation:

1/6*n-7≤98

1/6*n≤98+7

1/6*n≤105

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3 years ago

Evaluate the given expression at x= -4<br> -3x + 2x^2 + 2

Mkey [24]

Answer:

$\huge{ \boxed{ \bold{ \text{46}}}}$

Step-by-step explanation:

If the value of variables of algebraic expression are given, the value of the term or expression can easily obtained by replacing the variables with numbers.

$\text{ \underline{ Given}} : \text{x = - 4}$

$\text{ \underline{ To \: find}} : \sf{value \: of \: - 3x + 2 {x}^{2} + 2}$

$\text{ Plug \: the \: value \: of \: x}$

$➝ \: \sf{ - 3 * (- 4 )+ 2 * {( - 4)}^{2} + 2}$

$\text{Remember!} : \text{Multiplying \: a \: negative \: integer \: by \: negative \: integer \: gives \: a \: positive \: integer.}$

➝ $\sf{12 + 2 * {( - 4)}^{2} + 2}$

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➝ $\text{12 + 2 * 16 + 2}$

$\text{Multiply \: the \: numbers}$

➝ $\text{12 + 32 + 2}$

$\text{Add \: the \: numbers}$

$➝ \boxed { \text{46}}$

$\text{Hope \: I \: helped!}$

$\text{Best \: regards!}$

~ $\text{TheAnimeGirl}$

7 0

3 years ago

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What is the surface area of this triangular prism? The base of each triangle is 42 m and the height of the triangular base is 20

shutvik [7]

<u>Given</u>:

The base of each triangular base is 42 m.

The height of each triangular base is 20 m.

The sides of the triangle are 29 m each.

The height of the triangular prism is 16 m.

We need to determine the surface area of the triangular prism.

<u>Surface area of the triangular prism:</u>

The surface area of the triangular prism can be determined using the formula,

$SA=bh+(s_1+s_2+s_3)H$

where b is the base of the triangle,

h is the height of the triangle,

s₁, s₂ and s₃ are sides of the triangle and

H is the height of the prism.

Substituting the values, we get;

$SA=(42)(20)+(42+29+29)(16)$

$SA=840+(100)(16)$

$SA=840+1600$

$SA=2440$

Thus, the surface area of the triangular prism is 2440 m²

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3 years ago

Find h(g(n)) when h(n) = 2n + 5<br> and g(n) = n +4

Evgen [1.6K]

Answer:

2n+13

Step-by-step explanation:

$h(g(n))\\h(n)=2n+5\\g(n)=n+4\\h(n+4)=2(n+4)+5\\=2n+8+5\\=2n+13$

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The product of 5 and m squared,increased by the sum of the square of m and 5

Harrizon [31]

The product (multiplication) of 5 and m squared (²) increased (addition) by the sum (addition) of the square (²) of m and 5.

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3 years ago

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