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3 years ago

Even more 5x + 2(x+7)

Mathematics

2 answers:

AfilCa [17]3 years ago

5 0

Answer: 7x + 14

Step-by-step explanation:

5x + 2(x + 7)

First, we use distributive property to distribute the 2 to the x and the 7. We're left with this expression:

5x + 2x + 14

We can combine 5x and 2x to get 7x

7x + 14

We cannot do anything else with this expression and it is thus is simplest form.

qwelly [4]3 years ago

5 0

14 because 5+2=7 so x=7 and 7+7=14

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Evaluate f(x) = -4x + x2 + 16 for f(-4).

kipiarov [429]

Answer:

$f(-4)=48$

Step-by-step explanation:

Value of functions

To evaluate a function for a given value of x, we replace the x for the value and perform the resulting operations.

The given function is (corrected):

$f(x)=-4x+x^2+16$

We need to find f(-4), so we use x=-4:

$f(-4)=-4*(-4)+(-4)^2+16$

$f(-4)=16+16+16$

$\boxed{f(-4)=48}$

4 0

3 years ago

Leah has sold magazine subscriptions worth $330 for a school fundraiser. If she reaches a total of $500, she wins a gift certifi

insens350 [35]

You can solve by subtracting: 500-330

but I like to use mental math and think this way:
she has 330
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and 100 more will give her 500
100 + 70 is 170.

7 0

3 years ago

John ran 1 2/5 miles in 1/3 hour. How many miles can John run in 1 hour

sasho [114]

Answer:

5 miles per hour

Step-by-step explanation:

15/3=5

4 0

2 years ago

Can someone please help me on this question I will give brainliest

xz_007 [3.2K]

Answer:

A) 3 in

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Geometry

Surface Area of a Sphere: SA = 4πr²
Diameter: d = 2r

Step-by-step explanation:

Step 1: Define

SA = 23 in²

Step 2: Find r

Substitute [SAS]: 23 in² = 4πr²
Isolate r term: 23 in²/(4π) = r²
Isolate r: √[23 in²/(4π)] = r
Rewrite: r = √[23 in²/(4π)]
Evaluate: r = 1.35288 in

Step 3: Find d

Substitute [D]: d = 2(1.35288 in)
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4 0

2 years ago

Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca

timurjin [86]

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the Mean for sample of taste of pizza in California:

μ₁ = $\frac{34+39+40+46+33+31+34+14+15+45}{10}$ = 33.1

Calculating the Mean for the sample in Iowa:

μ₂ = $\frac{28+25+35+16+25+29+24+26+17+20}{10}$ = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The Variance for the sample in California is

σ² = $\frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}$ σ² = 120.50

The Variance for the sample in Iowa is

σ² = 32.73

Range is the difference between the highest and the lowest number of the set: range = highest - lowest

For the sample in California, the Range is

range = 46 - 14 = 32

For the sample in Iowa:

range = 35 - 16 = 19

For California:

Mean = 33.1;
Variance = 120.50;
Range = 32;

For Iowa:

Mean = 24.5;
Variance = 32.73;
Range = 19;

6 0

3 years ago