The tens digit exceeds the units digit by 3. If the units digit is r what is the value of the number ?

Answer:

(a)Grade =7.5% (No warning sign is needed)

(b)Rise =90 feet

Step-by-step explanation:

[tex]\text{Slope = }\dfrac{Rise}{Run}[/tex]

(a)

Rise = 63 feet

Run (Horizontal distance) = 840 feet.

[tex]\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%[/tex]

A warning sign should not be posted since its grade is less than 8%.

(b)

Grade = 9%

Run (Horizontal distance) = 1000 feet.

Recall that:

Grade = Slope X 100

[tex]9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet[/tex]

The road rises 90 feet over a distance of 1000 feet.

Answer:

13.5 glasses of water

Step-by-step explanation:

If:

1 water glass can hold 2/9 of a litre

x water glasses can hold 3 litres.

Therefore, expressing it as a litre to glass ratio, we have::

[tex]\dfrac{2/9}{1}=\dfrac{3}{x} \\\dfrac{2}{9}x=3\\$Divide both sides by$ \dfrac{2}{9}\\x=3 \div \dfrac{2}{9}\\x=3 \times \dfrac{9}{2}\\\\x=13.5[/tex]

Therefore, 13.5 glasses of water can be filled with a 3 litre bottle.

Answer: The value of x is 6.

Step-by-step explanation:

TO find the volume of a cube you cube any side length. so if the side  length is 6.

6^3 = 216

To find the surface area of a cube you will square one of the side lengths and multiply it by 6.

so the side length is 6 and 6 squared is 36

36*6 = 216

Answer:

x^2+4x-4

Step-by-step explanation:

4x+1+x^2-5

x^2+4x-4

Answer:

A. x² + 4x - 4

Step-by-step explanation:

When the question asks for (f + g)(x), it simply means to add function f(x) and function g(x):

4x + 1 + x² - 5

4x + x² - 4

x² + 4x - 4

Answer:

A triangle.

Step-by-step explanation:

The plane would pass through opposite sloping faces of the pyramid and through the base; the shape formed is a triangle.

Answer:

+4, -4

Step-by-step explanation:

[tex]x^{2} =16\\\sqrt{x^{2} }=\sqrt{16}\\x=4/ x=-4[/tex]

Answer:

3/10

Step-by-step explanation:

as the total number of marbles is 10 and the red marbles are 3 so the probability of drawing red marble will be 3/10.

Answer:

The possibility of not drawing a black marble= 4/5

The probability of drawing a red marble = 3/10

Step-by-step explanation:

Blue marbles = 5

Black marbles = 2

Red marbles = 3

Total marbles = 5 + 2 + 3 = 10

The possibility of not drawing a black marble = No of (blue + red) marbles/ Total marbles = ((5+3)/10 = 8/10 = 4/5

The probability of drawing a red marble = No of red marbles/Total marbles =3/10

Answer: on edge. it’s -2.6 and 5.2

Step-by-step explanation:

i just did it.

Answer:

x =  -2.6

y =  5.2

Step-by-step explanation:

e2020 ; )

Answer:

Step-by-step explanation:

                                             [tex]5x^2-2x+16=4x^2+6x\\\\5x^2-2x+16-4x^2-6x=0\\\\x^2-8x+16=0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)(x-4)=0\\\\(x-4)^2=0\\\\x-4=0\\\\x=4[/tex]

Answer:

12.56 [tex]cm^2[/tex] is the error in area of circle.

Step-by-step explanation:

Given that:

Radius of the circle, r = 10 cm

Error in measurement of radius, [tex]\triangle r[/tex] = 0.2 cm

To find:

The error in area of circle = ?

Solution:

First of all, let us have a look at the percentage error in measurement of radius:

[tex]\dfrac{\triangle r}{r}\times 100 = \dfrac{0.2}{10}\times 100 = 2\%[/tex]

Now, we know that Area of a circle is given as:

[tex]A = \pi r^2[/tex]

[tex]\Rightarrow \dfrac{\triangle A}{A} \times 100 = 2 \times \dfrac{\triangle r}{r} \times 100\\\Rightarrow \dfrac{\triangle A}{A} = 4\%[/tex]

Area according to r = 10

[tex]A = 3.14\times 10^2 = 314 cm^2[/tex]

Now, error in area = 4% of 314 [tex]cm^2[/tex]

[tex]\Rightarrow \dfrac{4}{100} \times 314 = 12.56 cm^2[/tex]

So, the answer is:

12.56 [tex]cm^2[/tex] is the error in area of circle.

Answer: 0.3 kg

Step-by-step explanation:

£5 = 500p

500p ÷ 5 = 100

100 x 3 = 300 grams

300 ÷ 1000 = 0.3 kg

Hope this helps :)

Answer:

Hello!

_______________________

1 coin =    5p =20

5 x 20=100

100 x 3=300

0.3 kg

Step-by-step explanation: Multiply.

Hope this helped you!

Answer:

B

Step-by-step explanation:

Parallel lines have equal slopes, thus

slope of red line = slope of green line = 5 → B

Answer:

  b.  98.5°

Step-by-step explanation:

There are a number of ways to do this. Perhaps one of the simplest is to compute the angle associated with each vector, and find the difference.

We can compute that angle as ...

  vector angle = arctan((coefficient of j)/(coefficient of i))

where the arctangent is computed in the appropriate quadrant according to the signs of i and j.

  ∠u = arctan(-8/√5) ≈ -74.38°

  ∠v = arctan(1/√5) ≈ 24.09°

The angle between these vectors is then ...

  24.09° -(-74.38°) = 98.47° ≈ 98.5°

Answer:

Step-by-step explanation:

m= month

3÷100= 0.03

0.03×500=$15

$15/m

$15×5×12=$900

$500-$900=

Answer: -$400

Answer:

150

Step-by-step explanation:

360 - (130 + 80) = 150

Answer:

150

Step-by-step explanation:

130+80= 210

360-210= 150

so it is 150

Answer:

$112.50

Step-by-step explanation:

150x.75=112.5

Answer:

its 112.50

Step-by-step explanation:

i got it right

Answer:

true

Step-by-step explanation:

Answer:

Solution,

( 7m + 5)^2

Using the formula:

[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

and expand the expression

= ( 7m)^2 + 2 • 7m • 5 + (5)^2

Evaluate the power

= 49m^2 + 2 • 7m • 5 + 25

Calculate the product

= 49m^2 + 70m + 25

Hope this helps...

Good luck on your assignment..

Answer:

Step-by-step explanation:

Let the number be X

According to Question,

[tex]4 + \frac{3}{4} x = 1[/tex]

[tex]4 + \frac{3}{4} x - 4 = 1 - 4[/tex]

[tex] \frac{3}{4} x = - 3[/tex]

[tex]x = \frac{ - 3 \times 4}{3} [/tex]

[tex]x = \frac{ - 12}{3} [/tex]

[tex]x = - 4[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

the fourth set

Step-by-step explanation:

if you plug this equation into desmos and look at the x-values, you will see that the fourth set is the only one with points that make this equation true.

Answer:

D

Step-by-step explanation:

Hello names smiley!

for your answer for this is  A  circle with diameter 10cm will have a circumference of approximately 31.4cm

or

10cm x 3.14 = 31.4 Circumference = 3.14 x diameter

Step-by-step explanation:

its ok if you dont give brainliest i just want to help!  

bye!

Answer: 47.1%

Step-by-step explanation:

Answer:

The answer is C.17

Step-by-step explanation:

Drink your daily water!! Have a nice day everyone :)

Hello! :)

—————— ☆ ☆———————————————————————————-

Answer:

5.3 seconds

Step-by-step explanation:

The answer is 5.3 seconds because

If you solve this equation than you will see how it is 5.3 seconds.

Equation: [tex]h (t) = -16t ^ 2 + 48t + 190 [/tex]

Also if you graph it, the answer will be 5.3 seconds

—————— ☆ ☆————————————————————————————

Hope this helps! :)

By: BrainlyMember ^-^

Good luck!

Answer:

^ as the other person said, it's 5.3

Step-by-step explanation:

edge

Answer:

8 boards.

Step-by-step explanation:

Since he bought a few of each length. The only combination that works is when he bought 5 of the 4 ft long board so 4×5=20. Than he bought 3 of the 5ft boards 3×5=15. 20+15=35 ft worth of boards.

Matt brought total 8 boards out of which the 5 boards are of 4ft and 3 boards are of 5ft.

We have a guy named Matt who bought some boards to build a wooden deck. Some of the boards were 4 ft long and some of the boards were 5 ft long. He bought 35 ft of boards altogether.

We have to find out how many boards he bought all together.

The solution of an equation is the value at which the left hand side and right hand side of the equation equals to each other.

In the question, it is given that there are 4ft long and 5ft long boards and matt brought 35 ft of board all together.

Let us assume that the number of 4 ft boards he bought are = x and the number of 5ft boards be y, then according to question -

4x + 5y = 35

[tex]y = \frac{-4x + 35}{5} \\y=\frac{-4x}{5} + 7[/tex]

Now, all the points that lie on this line are the possible answers but the number of boards cannot be in decimal. Hence, the solution x = 5 and y=3, which will give us 4 x 5 + 5 x 3 which is equal to 35.

Hence, Matt brought 5 boards of 4ft and 3 boards of 5ft.

To solve more questions on linear equations in two variables, visit the link below -

https://brainly.com/question/22557080?referrer=searchResults

#SPJ2

(he got 2 wrong answers, and 13 correct answers)

=====================================================

Explanation:

c = number of correct answers

w = number of wrong answers

m = number of missing answers (ie, omitted answers)

7c = number of points awarded from just the correct answers

-2w = number of points awarded from the wrong answers. Note the negative to indicate we lose points here.

0m = 0 = points from the missing answers. We don't have to worry about this portion

In total, Jack would earn 7c-2w points. Since he actually earned 87 points, we can write the equation 7c-2w = 87. We'll come back to this later.

-----------------------

The quiz has 20 questions, so c+w+m = 20 is another equation we'll be working with. Solve for c to get c = -w-m+20. Plug this into the equation 7c-2w = 87 to get...

7c-2w = 87

7(-w-m+20)-2w = 87 ... replace c with (-w-m+20)

-7w-7m+140-2w = 87 ... distribute

-9w-7m+140 = 87

-9w-7m = 87-140

-9w-7m = -53

9w+7m = 53

----------------------

From here, you use trial and error. We don't have enough information to finish solving the system. We would need 3 equations to solve for the 3 unknowns.

What we can do is make a guess of what w could be and use that to find m. Luckily there is a small list of possible values for w.

So let's say w = 0

9w+7m = 53

9(0)+7m = 53 ... plug in w = 0

7m = 53

m = 53/7 ... divide both sides by 7

m = 7.57

We got a non-whole number, so there is no way w = 0 since we can't have 0.57 of a question missing. Jack either answers the question, or he skips it. He can't have both happen.

---------------------

Let's repeat for w = 1

9w+7m = 53

9(1)+7m = 53 ... replace w with 1

9+7m = 53

7m = 53-9 ... subtract 9 from both sides

7m = 44

m = 44/7 ... divide both sides by 7

m = 6.28

So we can see that w = 1 isn't possible either.

---------------------

However, w = 2 is possible

9w+7m = 53

9(2)+7m = 53

18+7m = 53

7m = 53-18

7m = 35

m = 35/7

m = 5

Meaning that Jack got w = 2 wrong answers and skipped over m = 5 questions. The number of correct answers is c = 20-m-w = 20-5-2 = 13

-----------------------------------

An alternative to using trial-and-error is to use a graph.

Replace w and m with x and y respectively. So we go from 9w+7m = 53 to 9x+7y = 53

Use a graphing tool, or plot the graph on graph paper, to get what you see in the diagram below. I used the program GeoGebra to graph.

Then notice how the graph goes through the point (2,5) which means x = 2 and y = 5. Replace x and y with w and m to find (w,m) = (2,5)

note: the point (5,1) looks like it also lies on the graph, but it is not a solution. It's just a point that is very close to the line. I recommend you try out (w,m) = (5,1) and you'll see it doesn't work.

Answer:

C.

Step-by-step explanation:

The parent function is y = cos(x).

When we have y = cos(x) + 1, this tells us that the graph has been shifted up by 1.

When we have y = -cos(x), this tells us that the graph has been reflected across the x-axis.

When we have y = 3cos(x), this tells us that the graph has been vertically stretched by a factor of 3.

All together, the answer is C.

Notes:

y = 3cos(x) would be a vertical stretch, while y = cos(3x) would be a horizontal compression.

y = -cos(x) is a reflection across the x-axis, while y = cos(-x) would be a reflection across the y-axis.

Answer:

6x5.2/2=15.6 and four sides so 15.6*4=62.4 and left with 7.2*6/2=21.6 and add u get 84

Step-by-step explanation:

Answer:

(1) Please find attached the graph of the data

(2) 160.396 m

(3) The correlation that exist is a straight line correlation

Step-by-step explanation:

The given data are;

Distance,         Time

(m),                    (s)  

50,                    6.1

100,                   12

150,                   18.3

200,                  25.2

250,                   31.7

(2)

Based on the linear regression formula, we have;

[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]

[tex]b = \dfrac{5 \times 17215 - 93.3 \times 750}{5 \times 2156.03 -8704.89} = 7.758[/tex]

[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]

[tex]a = \dfrac{750 - 7.7581 \times 93.3}{5}= 5.234[/tex]

The line is

y = 7.7581×x+5.234

When t = 20 s, we have

y = 7.7581*20+5.234 = 160.396 m

(3) The correlation that exist is a straight line correlation

Answer:

Step-by-step explanation:

I think it's B but I'm not 100% sure