justine and her cousin natalie are picking out snacks at the corner store for movie night. natalie spends $5.30. justine spends 1 1/3 times as much as natalie. how much money do the girls spend in all?

Answer:

x = 7

Step-by-step explanation:

You need to figure which sides correspond and set up the proportions

Labeling the vertices of the triangles would help you.

I did that and found that 5x - 15 ↔ 10 since both of those sides are opposite the 42° angles and 36 ↔ 18

So [tex]\frac{5x - 15}{10} = \frac{36}{18\\}[/tex]

18(5x - 15) = 10(36)

90x - 270 = 360

90x = 630

x = 7

Answer

43

Step-by-step explanation:

Answer:

-30

Step-by-step explanation:

-6-24

=-30

...........

Answer:

344 visitors

Step-by-step explanation:

Given that the relationship between the number of visitors to a museum(y) and the daily rainfall in mm(x) is defined as

y=14.1x+62.0

when the daily rainfall is 20 mm, the number of visitors

y = 14.1(20) + 62

= 282 + 62

= 344

It means that the expected number of visitors is 344 persons (to the nearest integer).

Answer:

B

Step-by-step explanation:

Because 2/3 times 2 = 4 to 6 = 8 to 12 if you multiply it by 2 you both of them except for 4/5 so the answer is B.

Can I be marked brainliest

Answer:

C

Step-by-step explanation:

The line passes through the point (2, -1/2) and has a slope of 3.

We can use the point-slope form, given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where (x₁, y₁) is a point, and m is the slope.

Let (2, -1/2) be (x₁, y₁). We will substitute 3 for m. Therefore:

[tex]\displaystyle y-\Big(-\frac{1}{2}\Big)=3(x-(2))[/tex]

Simplify:

[tex]\displaystyle y+\frac{1}{2}=3(x-2)[/tex]

Therefore, our answer is C.

Answer:

The answer is 60 degrees

Step-by-step explanation:

Answer:

Hey!

0.309<0.32<0.35<0.4

hope this helps you

The numbers in order of size start with the smallest can be done as 0.309 < 0.32 < 0.35 < 0.40.

The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system.

The given number can be arranged from smallest to largest can be arranged as shown below. Therefore, we can write,

0.309 < 0.32 < 0.35 < 0.40

Hence, the numbers in order of size start with the smallest can be done as 0.309 < 0.32 < 0.35 < 0.40.

Learn more about Decimal Numbers here:

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Answer:

D. 118°

Step-by-step explanation:

x = 118° { being corresponding angles }

Answer:

a = 72° b = 88°

Step-by-step explanation:

We know in the cyclic quadrilateral opposite angles are supplementary so

a + 108° = 180° { being opposite angles of cyclic quadrilateral }

a = 180° - 108°

a = 72°

b + 92° = 180° { being opposite angles of cyclic quadrilateral }

b = 180° - 92°

b = 88°

Answer:

x=3

Step-by-step explanation:

5(x+1)=20

5x+5=20

-5 -5

5x=15

now just divide 5 from 15 which is 3 so x=3

Answer:

arkadaşlar bu şeyler

Türkçeye nasıl cevriliyor

Answer:

the answer will be -1/6

Step-by-step explanation:

firstly there will be a multiplication sign in between 6 and 1/4 and 2 and 5/6 which when, when we will calculate the answer is -1/6

Answer:

41/12

Step-by-step explanation:

Answer:

Quadrant 2 and Quadrant 3

Step-by-step explanation:

Given

Set of all negative numbers

Required

Determine the quadrant it falls

Domain implies that we list the possible x values.

There are 4 quadrants and the x values in each quadrant are:

First quadrant: x is positive

Second quadrant: x is negative

Third quadrant: x is negative

Fourth quadrant: x is positive

From the above lists, we can see that x is negative in the second and the third quadrants.

Answer:

g(x) is horizontally stretched by a factor of 1/5

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

[tex]g(x) = (\frac{x}{5})^2[/tex]

Require

Determine the relationship between f(x) and g(x)

[tex]f(x) = x^2[/tex]

[tex]g(x) = (\frac{x}{5})^2[/tex]

Express g(x) in terms of f(x)

[tex]g(x)=f(\frac{x}{5})[/tex]

This can further be simplified as:

[tex]g(x)=f(\frac{1}{5}x)[/tex]

When a function is represented as:

[tex]g(x) = f(cx)[/tex]

Where c < 1,

Then the type of translation is a horizontal stretch (stretch in the x direction)

By comparison: [tex]g(x) = f(cx)[/tex] and [tex]g(x)=f(\frac{1}{5}x)[/tex]

[tex]c = \frac{1}{5}[/tex]

This means that: g(x) is horizontally stretched by a factor of 1/5

Answer:

25 degrees

Step-by-step explanation:

So a triangles angels equal 180 degrees

So for angel ECD 180 - (15+90) = 75

Straight lines also always equal to 180 degrees so

180 - (80+75) = 25

Measure of ∠BCE = 25° .

A figure which is formed by two rays or lines that shares a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”.

Given, In figure,

∠CED = 15°

∠EDC = 90°

∠BCA = 80°.

In triangle ECD

Sum of all interior angles of a triangle is 180°

∠ECD +∠CED +∠EDC = 180°

∠ECD + 15° + 90° = 180°

∠ECD = 180° - 105°

∠ECD = 75°

Now,

∠BCA,∠BCE and∠ECD are at point C on line AD.

Sum of all angles made at one point of line is 180°.

∠BCA +∠BCE +∠ECD = 180°

80° + ∠BCE + 75° = 180°

∠BCE = 180° - 155°

∠BCE = 25°

Hence, 25° is measure of ∠BCE.

Learn more about angle here:

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Step-by-step explanation:

Given

sin³ø cos ø + cos³ø sinø

= sin ø cos ø ( sin²ø + cos²ø)

= sinø cosø * 1

= sinø cosø

Hope it will help :)

Answer:

65%

Step-by-step explanation:

so there were 20 total voters. 20-7 = 13 that did not vote for the tax

13/20= . 65 = 65%

Answer:

6x+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of a rectangle is the product of its side lengths. In this case

[tex]A=(2x+6)(3x-2)\\ \\ A=2x(3x)+2x(-2)+6(3x)+6(-2)\\ \\ A=6x^2-4x+18x-12\\ \\ A=6x^2+14x-12[/tex]

Answer:

it will help you

Answer:

The countertop is  8.37 square meters

Step-by-step explanation:

Let

L ----> the length of the countertop

W ----> the width of the countertop

we know that

The area of rectangle (countertop) is equal to

we have

Remember that

To convert feet to meters multiply by 0.305

so

Find the area in square meters

Answer:

8.37

Step-by-step explanation:

hope this helps!

have a good day :)

Answer:

Step-by-step explanation:

50% of 70=35

92% of 19= 17.48

Answer:

The answer is in Picture.

Step-by-step explanation:

Hope it is helpful....

Answer: