The speed limit on a rural road in Europe is 90 km / hr . Yvonne is driving 35 miles How long will it take her if she drives at the speed limit ? How long will it take Yvonne to drive 35 miles if she drives at the speed limit ?

Answer:

Step-by-step explanation:

When we have two similar triangles, we can use a proportion to determine an unknown value.

[tex]\frac{2x + 80}{87} = \frac{80}{60}[/tex]

We will cross multiply to get two equivalent equations that can be solved.

(2x + 80) x 60 = 120x + 4800

We can simplify this by dividing both sides by 24 to get a much simpler equation to work with: 5x + 200.

80 x 87 = 6960

We will also divide this by 24. The answer is 290

5x + 200 = 290

Subtract 200

5x = 90

Divide by 5

x = 18

Now, we can also check to make sure we did everything correctly.

(2(18) + 80) x 60 = 120x + 4800

(36 + 80) x 60 = 120(18) + 4800

116 x 60 = 2160 + 4800

6960 = 6960 ✅

Answer:

It Is O. 8

Step-by-step explanation:

Because you are suppose to round the number to the one in front of the other number

83/100 83%

.......................

Answer:

7x + 10 ≥ 45

Step-by-step explanation:

Given that:

Number of shelves = 7

Number of houses to display on each shelf = x

Number of houses to display = atleast 45 (≥)

Number displayed on buffet = 10

Number displayed on buffet + (number of shelves * number per shelf) ≥ number of houses to display

10 + (7 * x) ≥ 45

7x + 10 ≥ 45

Answer:

Tom drove 282 miles.

Step-by-step explanation:

x = number of miles driven

220.81 = 14.95 + 0.73x

-14.95       -14.93

205.86 = 0.73x

/0.73        /0.73

282 = x

Hope this helps!

Answer:

$2.04

Step-by-step explanation:

$4-$1.60

Answer:Bro u just saved my life with that answer

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

What divided by what equals 0? What divided by what equals 0? Specifically, what positive whole number (X) can you divide by another positive whole number (Y) to get 0? The answer is infinite.

Answer:

3y - x = 21

Step-by-step explanation:

Answer:

3y - x = 21

Step-by-step explanation:

y = -3x - 8

The perpendicular line has the reciprocal slope.

So, the slope of this perpendicular line would be 1/3.

The equation that has the slope of 1/3 is 3y - x = 21.

Hope this helps!

Answer:

x = 44°

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

x° + 104° + 32° = 180°

Step 2: Solve for x

Answer:

44°

Step-by-step explanation:

Because Sum of three angles of a triangle equals 180 °

So 180°-(104°+32°)

=180°-72°

=44°

Answer:

y = - 1

Step-by-step explanation:

Given

2y - 3(4y - 3) = 9y + 28 ← distribute and simplify left side

2y - 12y + 9 = 9y + 28

- 10y + 9 = 9y + 28 ( subtract 9y from both sides )

- 19y + 9 = 28 ( subtract 9 from both sides )

- 19y = 19 ( divide both sides by - 19 )

y = - 1

Answer:

k = 3/13

Step-by-step explanation:

7k-3=6k

3 = 6k + 7k

13K = 3

k = 3/13

Answer:

98°

Step-by-step explanation:

The two base angles of a parallelogram are always equal and likewise for the two other angles which makes the base 164° combined an 360-164=196° and 196°/2=98°

Answer:

your answer is 11

Step-by-step explanation:

Answer:

The value of x = 20.

Step-by-step explanation:

Figure B is the scale image of A.

It is clear that:

which can be obtained by multiplying 10 with 1.25

i.e.

so the side 16 of figure A must have to be multiplied by 1.25 to get the image the figure B.

so

Therefore, the value of x = 20.

Answer:

B

Step-by-step explanation:

E because it's in order

Answer: -1/4

Step-by-step explanation:

Slope=rise/run

We rise 1 up

We run 4 to the left (making it negative)

Answer:

Step-by-step explanation:

first of all m is slope and youre not giving me any numbers or resources to work with. Maybe pay attention just a bit in class

1.)

Domain:2,2,-8,-9,-3

Range:3,-7,-2,6,-9

2.)

Domain:-2,1,6,-6,1

Range:5,-5,-6,8,6

The Domain is the x-value and the range is the y-value.

Hope this helps!!

Answer:

What is the name of the triangle

Ans) triangle with all sides equal is called equilateral, a triangle with two sides equal is called isosceles, and a triangle with all sides a different length is called scalene. A triangle can be simultaneously right and isosceles, in which case it is known as an isosceles right triangle

Step-by-step explanation:

There shall be a picture so that you say its name

Hope it helps

Answer:

answer is C. isosceles

because of the two equal sides so it cant be equilateral and it can be right angle because it doesn't have a perpendicular bisector

Step-by-step explanation:

Answer: 5.872

Step-by-step explanation:

Two thirds of twelve is eight and three sevenths of five is around 2.14 so subtract 2.14 from eight and you get the answer above

Answer:

5000

Step-by-step explanation:

1000 ÷ 2 = 500 x 10 = 5000

Answer:

Step-by-step explanation:

Formula for compound interest:

A= P(1+r/n)^n x t

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

We know that Serena pays annually meaning yearly (12 months or 1 year)

So after substituting all the numbers in,

A= 1000(1+0.02/12)^(12x10)

We change the rate to 0.02 because we must divide 2% by 100%. And divide the rate by number of times applied per time (n).

DISCLAIMER:

I have not done compound interest questions in a long time but if you want to confirm my answer, go to a calculator site and just input the numbers on there.

Answer:

x=[tex]\frac{+}[/tex]5 or x=5, x=-5

Step-by-step explanation:

If the question is [tex]x^{2}=25[/tex] then you take the square root of both sides. [tex]\sqrt{x^{2}}=\sqrt{5^{2}}[/tex] because 25=5*5=[tex]5^{2}[/tex].

When you simplify you get x=[tex]\frac{+}[/tex]5

So x=-5, =5.

Answer:

M= 32 x 3

M= 96

Carly ran 96 miles

Step-by-step explanation:

May I have brainliest please? :)

Answer: (-1.5,0), (-6,9), (3, -9)

Step-by-step explanation:

Answer:

x = -6 and y = -3

Step-by-step explanation:

x- 4y =6

x =4y +6......(i)

5x -4y =-18

20y +30 - 4y = -18

16y = -48

y = -3

x = -12+6

x = -6

Answer:

The equation of the vertical line passing through the point (-8, 5) will be:

Step-by-step explanation:

As we have to determine the equations for the horizontal and vertical lines passing through the point (-8, 5).

To determine the equation for the vertical line passing through the point (-8, 5), we must observe that the vertical line will always have the same x-value regardless of y-values.

Therefore, the equation of the vertical line passing through the point (-8, 5) will be:

[tex]2 \frac{1}{3} : 4 \frac{1}{2} \\ = \frac{7}{3} : \frac{9}{2} \\ = 14:27[/tex]

Answer: No it’s not.

Step-by-step explanation: So if to find the next number, you add five, then all of the numbers in the sequence will either end with 8 or 3. (5+3 or 0+3). Therefore 97 is not a term in the sequence.