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3 years ago

In an endurance race, Alyson rode her bicycle 7 miles less than Jeff. Together they rode 39 miles. How far did Alyson ride?

Mathematics

1 answer:

morpeh [17]3 years ago

5 0

Answer:

Distance cover by Alyson = 16 miles

Step-by-step explanation:

Given:

Distance cover together = 39 miles

Assume;

Distance cover by Jeff = a

Distance cover by Alyson = a - 7

Find:

Distance cover by Alyson

Computation:

a + (a - 7) = 39

2a - 7 = 39

2a = 46

a = 23

Distance cover by Alyson = a - 7

Distance cover by Alyson = 23 - 7

Distance cover by Alyson = 16 miles

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How much, in total, did Noel spend to cash her three most recent paychecks?

Stolb23 [73]

Based on the amount that Noel cashed in each of her most recent paychecks, the amount she spent in total is $10.99.

<h3>How much did Noel spend?</h3>

The bank directory shows that you are charged 1.99% of the amount being cashed as well as a check processing fee of $1.39.

The amount Noel spent is therefore:

= (1.99% x 100.53) + (1.99% x 119.38) + (1.99% x 122.52) + (1.39 x 3 checks)

= 2.00 + 2.38 + 2.44 + 4.17

= $10.99

Find out more on bank charges at brainly.com/question/26494219.

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2 years ago

Surface area of this right prism

Sphinxa [80]

$\qquad\qquad\huge\underline{{\sf Answer}}$

$\textsf{Let's calculate the surface area of given right prism}$

$\textbf{Area of Triangles :}$

$\sf{\dfrac{1}{2}\cdot 16\cdot 12}$

$\sf{8×12}$

$\sf96 \: \: cm {}^{2}$

$\textsf{Since there are two triangles, }$

$\textsf{Area of Triangles = 96 × 2 = 192 cm²}$

$\textbf{Now, calculate the Areas of rectangles :}$

$\textsf{Area - 1 = 12 × 10 = 120 cm²}$

$\textsf{Area - 2 = 16 × 10 = 160 cm²}$

$\textsf{Area - 3 = 20 × 10 = 200 cm²}$

$\textsf{Now add them all :}$

$\textsf{120 + 160 + 200 + 192}$

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7 0

3 years ago

Read 2 more answers

X + (3x - 4) = 5 - (-7 - 3x)

antiseptic1488 [7]

Answer:

x = 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

x + (3x - 4) = 5 - (-7 - 3x)

Step 2: Solve for x

[Distributive Property] Distribute negative: x + 3x - 4 = 5 + 7 + 3x
[Addition] Combine like terms: 4x - 4 = 12 + 3x
[Subtraction Property of Equality] Subtract 3x on both sides: x - 4 = 12
[Addition Property of Equality] Add 4 on both sides: x = 16

8 0

3 years ago

PLEASEPLEASE ANSWER

IRINA_888 [86]

Answer:

x = 7

Step-by-step explanation:

A triangle's total interior angle measurement will equal 180°.

Set all measurements equal to 180:

(82) + (9x - 6) + (6x - 1) = 180

Simplify. Combine like terms:

(82 - 6 - 1) + (9x + 6x) = 180

(82 - 7) + (15x) = 180

(75) + 15x = 180

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, Subtract 75 from both sides of the equation:

15x + 75 = 180

15x + 75 (-75) = 180 (-75)

15x = 180 - 75

15x = 105

Next, divide 15 from both sides of the equation:

(15x)/15 = (105)/15

x = 105/15

x = 7

7 is your value for x.

3 0

3 years ago

What is the equation of the line that passes through the point (-3, 1) and has a slope of - 2

Yakvenalex [24]

Step-by-step explanation:

slope = (y2-y1) / (x2-x1)

equation of the line y2 - y1 = m(x2-x1),

y2 = m(x2-x1) +y1

y2-y1 = -2(x2- (-3))

y2-y1 = -2x -6

y2 - 1 = -2x -6

y2 = -2x -5

8 0

3 years ago