Olivia saves $15 each week and has $20 in an
account. She is saving for a bicycle that costs $110.
How many weeks will it take for her to have enough
money for the bicycle?

The arc measure of the arc BC is 155°.

A complete circle has an arc, that is, a central angle of 360°. whose sum of angles is shown below:

AD + AB + BC + CD = 360°

Where AD = 155°

Since the four angles are generated by two diameters, then we find that AD = BC and AB = CD. Hence:

2 · AD + 2 · AB = 360                          Given

AD + AB = 180                                     Compatibility with multiplication / Existence of the multiplicative inverse / Modulative property

AB = 180 - AD                                      Compatibility with addition / Existence of the additive inverse / Modulative property

AB = 180 - 155                                     Given

AB = 25                                                Definition of subtraction / Result

Then, the arc measure of the arc BC is 155°.

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Answer:

85 cm

Step-by-step explanation:

the strut forms a right triangle with the end of the pole.

let the ends of the strut be x from the top of the pole . then

using Pythagoras' identity with 2 legs x and hypotenuse 1.2

x² + x² = 1.2²

2x² = 1.44 ( divide both sides by 2 )

x² = 0.72 ( take square root of both sides )

x = [tex]\sqrt{0.72}[/tex] ≈ 0.85 m ( to 2 dec. places )

the ends are 0.85 m = 85 cm from the top of the pole

Answer:

area is 24m^2

Step-by-step explanation:

base=6

height=4

Formula : base* height

6*4=24

Answer:

1/2 b*h

1/2 * 6* 4

=12

Step-by-step explanation:

For a triangle formula is half multiply by the base and times the hight and get the answer

Answer:

18

36

72

144

Step-by-step explanation:

For numbers to be divisible by 2 they must end in an even number

For numbers to be divisible by 9 the sum of the digits must be divisible by 9

Answer:

$11.34

Step-by-step explanation:

I think you meant tenth where you said “nearest cent”, so it’s $11.30.

Answer:

$11.34

Step-by-step explanation:

i hope u get this right.

Answer:

someone would probably collect the amount of students go to the beach and how they spend their time at the beach.

The town of Komani and Maletswai will be passed by Tshepo and his friends if they take N6 from Bloemfontein to East London.

The location is a national route in South Africa that connects the East London with Bloemfontein the via route of Komani and Maletswai.

The Komani is a town in the middle of the Eastern Cape Province of South Africa while the Maletswai is also a town in central South Africa on the banks of the Orange River, Eastern Cape Province of SA.

Therefore, the town of Komani and Maletswai will be passed by Tshepo and his friends if they take N6 from Bloemfontein to East London.

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Answer:

4

Step-by-step explanation:

Since it is a square all sides are the same. For the first one 5 x 5 eqals 25. For the second one since it has a 2 on one side we multiply 2 x 2 to get 4.

Answer:

8

Step-by-step explanation:

Mode is the number that repeats itself the most in data, because 8 contains the most X's, it is the mode

Answer:

area of first

parallelogram

= 25x8

=200m^2

area of second

parallelogram

12x7

=84f^2

Step-by-step explanation:

I hope it's helpful for you

Subtrahend: 2/32

[tex]\implies \dfrac{2}{32} \implies \dfrac{1 \times 2}{16 \times 2} \implies \underlin\dfrac{1}{16}[/tex]

The LCM of the denominators in the subtraction problem (5/8 - 2/32) can be determined by writing the multiples of 16 (Simplified denominator) and 8.

Writing the multiples of the denominators (16 and 8):

Since we can see that 16 is a common multiple and is has the least value in both multiples, 16 is the common multiple of 8 and 16.

Multiply such number to the denominators such that the denominators are equivalent to the LCM. Keep in mind that the number we multiply in the denominator must be multiplied to the numerator.

    [tex]\implies \dfrac{5}{8} - \dfrac{1}{16}[/tex]

    [tex]\implies \dfrac{5 \times x}{8 \times x} - \dfrac{1}{16} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [8x = \text{LCM}][/tex]

    [tex]\implies \dfrac{5 \times 2}{8 \times 2} - \dfrac{1}{16} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [8 \times x = \text{LCM} \implies 8 \times x = 16 \implies x = 2][/tex]

    [tex]\implies \dfrac{10}{16} - \dfrac{1}{16}[/tex]

    [tex]\implies \dfrac{10}{16} - \dfrac{x}{16x} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [16x = \text{LCM}][/tex]

    [tex]\implies \dfrac{10}{16} - \dfrac{1 \times 1}{16 \times 1} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [16 \times x = \text{LCM} \implies 16 \times x = 16 \implies x = 1][/tex]

    [tex]\implies \dfrac{10}{16} - \dfrac{1}{16}[/tex]

Finally, let's subtract the fractions as the fractions have like denominators.

[tex]\implies \dfrac{9}{16}[/tex]

Therefore, the simplified fraction is 9/16.

Parts of a subtraction problem:

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Using relations in a right triangle, it is found that the length of the zip line is of 40.4 feet.

The relations in a right triangle are given as follows:

This situation can be modeled by a right triangle, in which the extension of the zip line of 48.2 feet is the hypotenuse and the length is the adjacent side to the angle of 33º, hence:

[tex]\cos{33^\circ} = \frac{l}{48.2}[/tex]

l = 48.2 x cos(33º)

l = 40.4.

The length of the zip line is of 40.4 feet.

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Step-by-step explanation:

[tex] \frac{12w + 8}{6} = \frac{8w - 16}{3 } \\ 36w + 24 = 48w - 96 \\ 36w - 48w = - 96 - 24 \\ - 12w = - 120 \\ w = 10[/tex]

Answer:  [tex]\frac{7}{120}[/tex]

Step-by-step explanation:

Answer: 108.5 grams of carbohydrates

Step-by-step explanation:

4 crackers=62 grams of carbs

62/4=15.5 per crackers

15.5 x 7=108.5 grams or carbs

Answer:

Step-by-step explanation:

(0,2), (2,3), (4,4), (6,5), (8,6), (10,7) are the coordinates.

Total number  of pieces of paper =  11

Number of  pieces with a vowel =  4

Probability of picking a vowel = 4/11 (answer)

The expressions equivalent to  -6 + 4q + (-6q) is C. None of the above

The expression -6 + 4q + (-6q) can be simplified to -2q - 6,

Evaluating the given options, we have

Option (b); 2(q - 3) = 2q - 6

Option (c): -6(q + 1) - 4q = -10q - 6

Therefore, None of the above expressions are equivalent

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Answer:

The answer to this one is 0.3333

Answer:

0.3333

Step-by-step explanation:

Answer:

∠BIF = 126°

∠JBC = 63°

∠BJD = 117°

Step-by-step explanation:

adjacent angles in a rhombus add up to 180°

∠IBJ and ∠BIF are adjacent angles in a rhombus

thus,

∠IBJ + ∠BIF = 180°

54° + ∠BIF = 180

subtract 54 from both sides to isolate the variable

∠BIF = 126°

a line is 180°

thus, ∠IBA + ∠IBJ + ∠JBC = 180° as those three angles form a line

as the parallelograms are congruent, and we can visually notice that ∠IBA corresponds to angle ∠JBC, we can say that ∠IBA = ∠JBC

thus,

∠IBA + ∠IBJ + ∠JBC = 180°

54° + ∠JBC + ∠JBC = 180°

54° + 2∠JBC = 180

subtract 54 from both sides to isolate the variable and its coefficient

126° = 2∠JBC

divide 2 from both sides to isolate the variable

∠JBC = 63°

adjacent angles in a parallelogram add up to 180°

∠JBC and ∠BJD are adjacent angles in a parallelogram

∠JBC + ∠BJD = 180°

63° + ∠BJD = 180°

subtract 63 from both sides to isolate the variable

∠BJD = 117°

do you still have time?

.........

Answer: x = 70

Step-by-step explanation:

Sum of angles in a triangle is 180

55 + 45 + y  = 180

110 + y = 180

(110 - 110) + y = (180 - 110)

y = 70

Vertical angles are congruent so y = x

x = 70

Answer:

50 copies/minute

Step-by-step explanation:

10 copies =  [tex]\frac{1}{5} minute[/tex]

So to find the number of copies per minute, multiply the equation by 5:

50 copies = 1 minute

Answer:

50 per minute

Step-by-step explanation:

We are given the information that the copy machines prints 10 per 1/5 minute. In order to find the rate per one minute, we can multiply both values by 5. This is because 1/5 x 5 = 1, since we multiply by 5x the given time, the machine will produce 5x the amount of copies in that amount of time.

10x5 = 50

Therefore the machines prints 50 copies per minute.

Hope this helped!

Answer/Step-by-step explanation below:

[tex]2 - x < 7[/tex]

[tex]- x + 2 < 7[/tex]

[tex]-x + 2 -2 < 7 - 2[/tex]

[tex]-x < 5[/tex]

[tex]\frac{x}{-1 } < \frac{5}{-1}[/tex]

[tex]x > - 5[/tex]

Kavinsky

Answer:

[tex]33 {ft}^{2} [/tex]

Step-by-step explanation:

SA = 4(Area of ) + Area of ⬜

= 4(bh/2) + l*b

[tex]4(3 {ft}\times 4ft) \div 2 + (3ft \times 3ft)[/tex]

[tex]4 \times (12 {ft}^{2}) \div 2 + 9 {ft}^{2} [/tex]

[tex]24 {ft}^{2} + 9{ft}^{2} [/tex]

[tex]33 {ft}^{2} [/tex]

Answer:

See below ~

Step-by-step explanation:

Finding x

Answer:

13.44 meters ahead

Step-by-step explanation:

phil distance = 6.59 m/s *12 sec     meters

Mary dist = 5.47 *12     meters  

difference :

6.59 *12   - 5.47 *12  = 13.44 meters

Answer:

<

Step-by-step explanation:

25+(-14)-18 --->   25-32=-7
25+(-14)-(-18)  --->   43-14=29