1. 2x < 10, x = -3
x+7 % -5, x = 5
2.
6
state whether the given number makes the inequality true or false

Answer:

12 in Mathematics and 16 in Science

Step-by-step explanation:

12+16=28

12+3=15 and 16-4=12

15*12=180

Answer:

He got 12 marks in mathematics and 16 in science.  

Step-by-step explanation:

M + S = 28, (M + 3)(S - 4) = 180.

(M + 3)(S - 4) = MS - 4M + 3S - 12 = 180

MS - 4M + 3S - 12 = 180

MS - 4M + 3S = 192

M + S = 28

S = 28 - M

M(28 - M) - 4M + 3(28 - M) = 192

28M - [tex]M^{2}[/tex] - 4M + 84 - 3M = 192

-[tex]M^{2}[/tex] + 21M = 108

-[tex]M^{2}[/tex] + 21M - 108 = 0

(-M + 9)(M - 12) = 0

M = -9, 12

S = 37, 16

1st solution:

(-9 + 3)(37 - 4) = 180

-6 * 33 = 180

-198 = 180

2nd solution:

(12 + 3)(16 - 4) = 180

15 * 12 = 180

180 = 180

Therefore, M = 12 and S = 16.

Answer:

x is 130 degrees. y is 80 degrees.

Step-by-step explanation:

Step-by-step explanation:

since ABCD is a Rhombus, x = 180-50 = 130°

y = 180-(50+50)= 80°

Answer:

15 1/3 envelopes in 1 minutes

Step-by-step explanation:

Take the number of envelopes and divide by the number of minutes

460 envelopes / 30 minutes

15.333333.... envelopes per minute

15 1/3 envelopes in 1 minutes

Answer:

t = Gx + a

Step-by-step explanation:

G = t - a/x             (Given)

G(x) = (t - a/x)x     (Multiply x on both sides)

Gx = t - a              (Simplify)

Gx + a = t - a + a  (Add a on both sides)

Gx + a = t             (Simplify)

Answer:

d=126 (m)

Step-by-step explanation:

Let say:

d the distance from the bottom to the top

t1 the time used for running up

t2 the time for running down

[tex]\left\{\begin{array}{ccc}d&=&3*t_1\\d&=&7*t_2\\t_1+t_2&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}d&=&3*t_1\\t_2&=&\dfrac{3}{7} t_1\\t_1+\dfrac{3}{7} t_1&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}t_1&=&\dfrac{60*7}{10}=42 \\\\t_2&=&\dfrac{3*42}{7}=18\\\\d&=&3*42=126\\\end{array}\right.\\[/tex]

Answer:

The scale of a map is 1:250000.The actual distance between two cities is 80 km. Calculate this distance on the map. Give your answer in centimetre

Step-by-step explanation:

1 m = 100 cm

1 km = 1000 m = 100 000 cm

1:250 000 mean that 1 cm on the map represents an actual distance of 250 000 cm = 2.5 km

1:250 000 = 2.5 km / cm

80 km / 2.5 km / cm = 32 cm

OR

80 km = 8 000 000 cm

8 000 000 cm ∙ 1 / 250 000 = 8 000 000 cm / 250 000 = 32 cm

Answer:

Step-by-step explanation:

5f+4f-8=19

=> 9f = 19 + 8

=> 9f = 27

[tex] = > f = \frac{27}{9} [/tex]

=> f = 3 (Ans)

Answer:

7 kilometers per litre

Step-by-step explanation:

Take the distance and divide by the number of litres

28 kilometers/ 4 litres

7 kilometers per litre

Answer: D,E,F

Step-by-step explanation:

collinear means points on the same line

Answer:

#3. a non-terminating and non-repeating

Step-by-step explanation:

6.55743... never ends and it never repeats either

Answer:

Not terminating but doesn't repeat either

Step-by-step explanation:

Answer:

your answer is -40

I hope it's helps you

Answer:

-40

Step-by-step explanation:

-4*-2*-5

+8*-5

-40

-*-=+

-*+=-

Answer:

d=-2

Step-by-step explanation:

a10=5, a10=a+(10-1)d

5=23+9d, d=-2

Answer:

d is -2

Step-by-step explanation:

From arithmetic progression:

[tex]{ \bf{a_{n} = a + (n - 1)d }}[/tex]

substitute:

[tex]{ \sf{5 = 23 + (10 - 1)d}} \\ { \sf{5 - 23 = 9d}} \\ { \sf{9d = - 18}} \\ { \sf{d = \frac{ - 18}{9} }} \\ \\ { \sf{d = - 2}}[/tex]

Answer:

Given

Plot the points and connect to get a trapezoid (attached).

Just consider this is going to be ACBD according to coordinates.

Step-by-step explanation:

Given points are A(5,-1), B(0,5), C(4,5) and D(-2,-1)

When the given points are plotted on a graph paper and are connected. Then the formed polygon is trapezoid.

Answer:

do you have a photo that makes it easier?

Answer:

X should equal 12.

Step-by-step explanation:

I say this because we know TED= 30° bc 50°-20° = 30

then u have to think about what × 2 + 6 equals 30

sure enough 12 × 2 = 24 and 24 + 6 = 30

that's why I say X equals 12

Answer:

900%

Step-by-step explanation:

Starting price : 10

End price: 100

100-10 = 90

90/10 = 9 = 900%

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

blue ball is zero, red ball is 1-0.38=0.62

Step-by-step explanation:

1. no blue balls

2. probabilities have to add to 100%

The point at which lines, planes and points meet is referred to as the point of intersection or simply intersection.

The intersection of TV and US, US and plane R & TU and UV is point U

From the attached figure, we have the following observations

1. Line segments TV and US intersects at point U.

This means that the intersection of TV and US is point U

2. Line segment US and plane R intersects at point U

This means that the intersection of US and plane R is point U

3. Line segments TU and UV intersects at point U

This means that the intersection of TU and UV is point U

Hence, the name of the three intersections is point U

Read more about lines and planes at:

https://brainly.com/question/13081016

Answer:

[tex](g\circ f)(-4) = 32[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x) = -2x - 3\text{ and } g(x) = 2x^2 - 2x - 8[/tex]

And we want to find the value of:

[tex](g\circ f)(-4)[/tex]

Recall that this is equivalent to:

[tex]\displaystyle = g(f(-4))[/tex]

Find f(-4):

[tex]\displaystyle \begin{aligned}f(-4) &= -2(-4) - 3 \\ &= 5 \end{aligned}[/tex]

Hence:

[tex]g(f(-4)) = g(5)[/tex]

Finally, find g(5):

[tex]\displaystyle \begin{aligned}g(5)& = 2(5)^2 - 2(5) - 8 \\ &= 32 \end{aligned}[/tex]

In conclusion:

[tex](g\circ f)(-4) = 32[/tex]

Answer:

rational number

Step-by-step explanation:

a whole number is a non-negative integer, a natural number is a positive integer, an integer is any number that doesn't have decimal places and isn't a fraction. 7/8 isn't an integer so it isn't a whole or natural number. rational numbers can be written as fractions or are terminating decimals. 7/8 is a fraction so 7/8 is a rational number

Answer:

Step-by-step explanation:

9

The angles are vertically opposite. Vertically opposite angles are equal.

12x - 5 = 10x + 1           Add 5 to both sides.

12x = 10x + 5 + 1          Combine

12x = 10x + 6                Subtract 10x from both sides.

12x - 10x = 6                Combine

2x = 6                          Divide by 2

x = 6/2

x = 3

10

Adjacent angles to each other when sharing a side are supplementary

4x + 7 + 2x + 5 = 180             Combine like terms on the left

6x + 12 = 180                          Subtract 12 from both sides

6x = 180 - 12                          Combine

6x = 168                                  Divide by 6

x = 168 / 6

x = 28

Answer:

50

Step-by-step explanation:

4x+16=x+166

-x        -x

3x+16=166

    -16  -16

       3x=150

     /3     /3

       x=50

Answer :

• 50

Step-by-step explanation:

Answer:

use the two minute rule. you tell yourself you will study for two minutes or ten minutes and then if you're in a flow you keep going. hope this helps :)

Answer:

Z/X

Step-by-step explanation:

cause sin is p/h and p=Z and h=X

[tex] \displaystyle \large \tt{ \sin a = \frac{opposite}{hypotenuse} }[/tex]

First, we have to focus on ∠a, at the angle a or ∠a, the opposite is z because ∠a is the opposite side of z.

The hypotenuse side is always x, even if we change from ∠a to ∠b (b = 90°-a)

So what we have now are:

Substitute the letter in the ratio:

[tex] \displaystyle \large \boxed{ \sin a = \frac{z}{x} }[/tex]

Step-by-step explanation:

10x-12 is the equation form

Hi, I'm happy to help!

To solve, this, we need to find the distance in x coordinates, y coordinates, then use the Pythagorean Theorem, let's solve!

First, we have to find the distance in x coordinate values. The first coordinate is -8, and the second is -4, which means there is an x distance of 4.

Next, we need to find the distance in y coordinate values. The first coordinate is -2, and the second is 5, meaning there is a y distance of 7.

From here, we use the Pythagorean Theorem. This states that a²+b²=c².

This applies to right triangles, which is what we have. The x distance is a, the y distance is b, and the overall distance is c. We need to find c to answer the question. Let's plug in our values:

4²+7²=c²

16+49=c²

65=c²

To find c, we need to find the square root of 65.

√65

8.0622577...

Rounding to the nearest tenth is 8.1.

The distance between the two points is about 8.1.

I hope this was helpful, keep learning! :D

Answer:

-71/4

Step-by-step explanation: