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Arisa [49]
2 years ago
6

Consider the following equivalent expressions: 38÷1312 and 38⋅ab. What are the values of a and b? Give the value of a followed b

y the value of b, separated by a comma. The value of a and the value of b should be the smallest possible non-negative whole number for each. nothing
Mathematics
1 answer:
yKpoI14uk [10]2 years ago
7 0

Answer:

The values of a and b are {12,13}

Step-by-step explanation:

As,

\frac{\frac{3}{8}}{\frac{13}{12}}=\frac{3}{8}\frac{a}{b}

We convert the division into a multiplication by inverting the denominator

\frac{3}{8}}\frac{12}{13}=\frac{3}{8}\frac{a}{b}

Therefore, the smallest possible non-negative whole numbers for a and b could be are 12 and 13, respectively.

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As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1.11.
Elis [28]

Answer:

124.67cm³

Step-by-step explanation:

==>Given:

Dimensions of current can:

Height (h) = 12cm

Diameter = 6cm (radius = 3cm)

Volume of current can (V1) = 339.12 cm³

Dimensions of future cans to be increased multiple of 1.11:

height = 12cm × 1.11 = 13.32 cm

radius = 3cm × 1.11 = 3.33 cm

Volume of future can (V2) = πr²h = 3.14*3.33²*13.32

= 3.14*11.0889*13.32 = 463.791025

V2 ≈ 463.79 cm³

==>Find how much more would new cans hold = Volume of new can - volume of current can

= 463.79 cm³ - 339.12 cm³

= 124.67cm³

5 0
2 years ago
Given that r||s and q is a transversal, we know that by the [________]. corresponding angles theorem alternate interior angles t
neonofarm [45]

Answer:

alternate interior angles theorem

Step-by-step explanation:

The alternate interior angles theorem states that when two parallel lines are cut by a transversal, the resulting angles produced are a pair of congruent alternate interior angles.

Given the image attached below, both line k and line l are parallel to each other and also, line t is the transversal, therefore the resulting congruent alternate interior angles produced are:

∠ 4 ≅ ∠6, ∠1 ≅ ∠7

5 0
2 years ago
Read 2 more answers
Janelle practices basketball every afternoon in the driveway each day her goal is to make four more baskets then she made the da
Alla [95]
She made 62 baskets by day 14. 4×13=52+10=62
5 0
2 years ago
Let mAngleA = 40°. If AngleB is a complement of AngleA, and AngleC is a supplement of AngleB, find these measures. mAngleB = ° m
kati45 [8]

Answer:

B is 50° and C is 130°

Step-by-step explanation:

complementary angle

x+x=90°

40°+x=90°

x=90°-40°

x=50°

supplementary angles

x+x=180

50+x=180

x=180-50

x=30°

6 0
2 years ago
Read 2 more answers
What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm
makkiz [27]

Answer:

Volume of prism = 3,240 cm³

Step-by-step explanation:

GIven.

Hexagonal prism.

Side of base(b) = 12cm

Height of prism = 9cm

Height of base (h)= 10cm

Find:

The volume of the prism.

Computation:

Area of base of hexagonal prism = n/2[bh]

Area of base of hexagonal prism = 6/2[(12)(10)]

Area of base of hexagonal prism = 360 cm²

The volume of prism = Area of base of hexagonal prism × Height of prism

The volume of prism = 360 × 9

Volume of prism = 3,240 cm³

3 0
2 years ago
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