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3 years ago

Can someone please help rq

Mathematics

2 answers:

Sonja [21]3 years ago

8 0

$\frac{2x-5}{3}=11 \ \ /\cdot3\\\\2x-5=33 \ \ /+5\\\\2x=38 \ \ /:2\\\\\huge\boxed{x=19}$

artcher [175]3 years ago

4 0

Answer:

Step-by-step explanation:

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Pls help. No files pls. Will give brainliest.

nordsb [41]

To find f(-20), first figure out which piece x = -20 fits with.

Since -20 < -12, x = -20 first in the domain used by the third piece.

For f(-20), treat this function as if it was just f(x) = 3x-7.

f(-20) = 3(-20) -7

= -60 - 7

= -67

6 0

2 years ago

What is the interval notation for x+1>34?

vodka [1.7K]

Explanation:

First you subtract by -1 both sides of an equation.

$x+1-1=34-1$

Then, simplify the number.

34-1=33

x>33

Or interval notation 33,∞

Final answer: → x>33 and 33,∞

Hope this helps!

Thanks!

8 0

2 years ago

Please help me with #7

Dominik [7]

Step-by-step answer:

This is a regular heptagon, means it has 7 congruent sides and 7 congruent vertex angles.

To work with polygons, there is a very important piece of information that you must know to solve the majority of related problems.

This is:

sum of exterior angles of polygons = 360 degrees.

If you don't remember the 360 degrees, think of the sum of exterior angles of an equilateral triangle, which is 3*(180-60)=3*120=360! It works!

For a regular heptagon, c = 360/7=51.43 degrees approx.

This means that each vertex angle measures

vertex angle = 180-c

So since 2d+the vertex angle = 360, we have

2d+(180-c)=360

solve for d:

2d=360-(180-c)=180+c

d=(180+c)/2=90+c/2=115.71 degrees. (approx.)

8 0

3 years ago

Alandra's rectangular cake pan is 33cm by 23 cm. She has enough cake batter to fill it to a depth of 3 cm. Instead, Alandra want

Alisiya [41]

Answer:

Alandra can fill 60 whole cones

Step-by-step explanation:

The volume of a rectangular prism is V = L × W × H, where

L is its length

W is its width

H is its height

The volume of the cone is V = $\frac{1}{3}$ π r² h, where

r is the radius of its base

h is its height

∵ Alandra's rectangular cake pan is 33 cm by 23 cm

∴ L = 33 cm and W = 23 cm

∵ She has enough cake batter to fill it to a depth of 3 cm.

∴ H = 3 cm

→ Find the volume of the batter using the 1st rule above

∵ V = 33 × 23 × 3

∴ V = 2277 cm³

∵ Alandra wants to pour the batter into ice cream cones

∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm

∴ h = 9 cm

∵ r = $\frac{1}{2}$ diameter = $\frac{1}{2}$ (4)

∴ r = 2 cm

→ Substitute them in the 2nd rule above to find the volume of each cone

∵ V = $\frac{1}{3}$ (π) (2)² (9)

∴ V = 12π cm³

→ To find the number of cones divide the volume of the batter by

the volume of each cone

∵ Number of cones = 2277 ÷ 12π

∴ Number of cones = 60.3993

→ We will take the whole number only because we need the whole cones

∴ Alandra can fill 60 whole cones

6 0

3 years ago

A charitable organization packed 72 bags of rice, 48 blankets, and 24 cases of water equally in the boxes. Find the greatest pos

AysviL [449]

Answer:

The greatest possible number of boxes that is needed to pack the items with no leftovers is 24.

Step-by-step explanation:

Given:

Number of rice bags = 72

Number of blankets =48

Number of water cases = 24

To Find :

The greatest possible number of boxes that the items can be packed into so that there are no leftover = ?

Solution:

we can find the greatest possible number of boxes that is required by finding the HCF(Highest common factor) of(24,48,72)

Finding the HCF (Highest common factor):

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

24 is the greatest common factor

Hence 24 will the number boxes required

6 0

3 years ago