Please give a clear solution gcse maths higher question

Answer:

B

Step-by-step explanation:

∠ 2 + ∠ 3 = 90° ← True

∠ 5 = ∠ 3 ← False

∠ 2 = ∠ 5 ← True ( vertical angles )

∠ 4 = 90° ← True

Thus the statement that you cannot make is ∠ 5 = ∠ 3 → B

Answer:

see below

Step-by-step explanation:

Dosage= 500 mg

Frequency= twice a day (every 12 hours)

Duration= 10 days

Number of dosage= 10*2= 20

residual drug amount after each dosage= 4.5%

We can build an equation to calculate residual drug amount:

d= 500*(4.5/100)*t= 22.5t, where d- is residual drug, t is number of dosage

After first dose residual drug amount is:

After second dose:

As per the equation, the higher the t, the greater the residual drug amount in the body.

Maximum residual drug will be in the body:

Maximum drug will be in the body right after the last dose, when the amount will be:

Answer:

y -2= 1/2(x+7)

Step-by-step explanation:

The point slope form of a line is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y - 2 = 1/2(x - -7)

y -2= 1/2(x+7)

Answer:

D)  y - 2 = 1/2(x - (-7))

Step-by-step explanation:

I just took the quiz on edge

Answer:

a = - 8

Step-by-step explanation:

A polynomial divided by factor (x - h) has a remainder given by f(h)

Here the divisor is (x - 2), thus f(2) gives the remainder, that is

2³ + 2(2)² - 7(2) + a = 4 ← 4 being the remainder

8 + 8 - 14 + a = 4, that is

12 + a = 4 ( subtract 12 from both sides )

a = - 8

Answer:

answer B. -5

Step-by-step explanation:

hello

fg(-4)=f(-4)*g(-4)=(-4-1)(5*16-19*4-3)=-5*(80-76-3)=-5*(1)=-5

hope this helps

Answer: It is B. -5

Answer:

(B) A right triangle with side length of StartRoot 47 EndRoot and hypotenuse of 10

Step-by-step explanation:

I just took the quiz on edge

Answer:

B

Step-by-step explanation:

Answer:

11.98

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 53 = x/15

15 sin 53 = x

11.97953265 = x

Answer:

Ok, the solution to the first one. See below.

Step-by-step explanation:

[tex]1>3-d\\\\\mathrm{Add\:}d\mathrm{\:to\:both\:sides}\\\\1+d>3-d+d\\\\\mathrm{Simplify:}\\\\1+d>3\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\1+d-1>3-1\\\\\mathrm{Simplify:}\\\\d>2[/tex]

See attachment below.

Best Regards!

Answer:

A: 4

B: -2

Step-by-step explanation:

calculate dy/dx:

A: 1 to the right and 4 up: gradient is 4/1 = 4

B: 2 to the right and 4 down: gradient is 4/-2 = -2

Answer: 75/8= 9 3/8

Step-by-step explanation: Area = 1/2 X b X h

1/2 X 5 X 15/4 =

75/8=9 3/8

Answer:

x over quantity 2x plus 3 equals 40 over 60

Step-by-step explanation:

Let light clothes=x

Number of dark clothes = 2x + 3,

Dark clothes are 60% of total clothes

Light clothes=100%-60%

=40%

Light clothes / dark clothes = percentage of light clothes / percentage of dark clothes

x / 2x+3 = 40 / 60

x over quantity 2x plus 3 equals 40 over 60

    Expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].

Let the number of dark cloths = y

And the number of light cloths = x

"The number of dark cloths is three more than twice the number of light cloths".

Therefore, equation will be,

y = 2x + 3 ----- (1)

"The laundry is 60% dark cloths"

Equation for this statement will be,

y = [tex]\frac{60}{100}(x+y)[/tex]

y = 0.6x + 0.6y

y - 0.6y = 0.6x

0.4y = 0.6x

[tex]\frac{y}{60}=\frac{x}{40}[/tex]

Now substitute the value of y from equation (1),

[tex]\frac{2x+3}{40}=\frac{x}{60}[/tex]

[tex]\frac{2x+3}{x}=\frac{40}{60}[/tex]

[tex]\frac{x}{2x+3}=\frac{60}{40}[/tex]

  Therefore, expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].

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3 to the power of 14

Step-by-step explanation:

you need to add the exponents together. When you multiply exponents you actually add them.

so [tex]3^{14}[/tex] is your answer.

or 4783969 if you solve the whole thing

i hope this helps

Answer:

3 to the power of 14

Step-by-step explanation:

Answer:

350$

Step-by-step explanation:

600 = total in checking account.

250 = left in checking account after transaction.

600-250 = 350

meaning the most she can spend on a computer is 350$.

Answer:

t ≤ 350

Step-by-step explanation:

Which inequality represents all possible values of t ?

According to 3 sources I found online this should be correct! Let me know if anything else is needed asap!

Answer:

D

Step-by-step explanation:

she made a sign error when multiplying and should have had 256 as an answer

Answer:

the answer is D

Step-by-step explanation:

I'm taking the test now

Answer:

4√5

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Coordinates given:

H(8, 1)

G(0, -3)

d = [tex]\sqrt{(8-0)^2 + (1+3)^2}[/tex] = 4√5

Answer:

StartRoot 80 EndRoot

80 square root is the answer

Step-by-step explanation:

|GH|² = (8 - 0)² + (1 - (-3))²

|GH|² = 64 + 16

|GH|² = 80

GH = sqrt(80)

pls mark as brainliest

Answer:

D...........................

The flat surface that extends without end in all directions and is named by three points that are not on the same line is known as D. Plane.

A flat form or a shape with two dimensions—length and width—is referred to as a two-dimensional shape. Shapes that are two-dimensional, or 2D, lack thickness.

We can represent all the two-dimensional figures in a plane some of them are, Triangles, Circles, Quadrilaterals, and Polygons.

A plane can also be represented as a surface, It can extend without end in all directions and is named after three points that are not on the same line.

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Answer:

What am I supposed to do

Step-by-step explanation:

Answer:

y = 16x/65

Step-by-step explanation:

Given:

Triangle ABE is similar to triangle ACD. AED and ABC are straight lines

EB and DC are parallel

The area of quadrilateral BCDE = xcm²

The area of triangle ABE = ycm²

Find attached the diagram from the above information.

In similar triangles, the ratio of their corresponding angles are equal.

Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.

Area ∆ACD/area of ∆ABE = (DC/EB)²

Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +

area of ∆ABE)]/(area of ∆ABE)

(x+y)/y = (DC/EB)²

(x+y)/y = (9/4)²

x+y = (81/16)y

x = (81/16)y - y

x = (81y - 16y)/16

x = 65y/16

Making y subject of formula

16x = 65y

y = 16x/65

An expression for y in terms of x:

y = 16x/65

An expression for y in terms of x is :

y = 16x/65

Given:

Consider, the image attached:

In similar triangles, the ratio of their corresponding angles are equal.

Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.

Thus,

Area ∆ACD/area of ∆ABE = (DC/EB)²

Area ∆ACD/area of ∆ABE =

[(area of quadrilateral BCDE + area of ∆ABE)]/(area of ∆ABE)

On substituting the given values:

(x+y)/y = (DC/EB)²

(x+y)/y = (9/4)²

x+y = (81/16)y

x = (81/16)y - y

x = (81y - 16y)/16

x = 65y/16

In terms of y:

16x = 65y  

y = 16x/65

Therefore,  an expression for y in terms of x:  y = 16x/65

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Answer:

Chicken = 500 g

Peppers = 1 kg

Onions = 10 g

Spice mix = 10 g

Tortillas = 14

Step-by-step explanation:

5 × 3 = 15

What the recipe indicates she needs

400 × 3 = 1200

600 × 3 = 1800

70 × 3 = 210

20 × 3 = 60

10 × 3 = 30

Subtract what she needs from what she has

1200 - 700 =  500 g

1800 - 800 = 1000 g

210 - 200 = 10 g

60 - 50 = 10 g

30 - 16 = 14 tortillas

Answer:

qhdlqywylvly

Step-by-step explanation:hqiufqwbuif

Answer:

30 cans

Step-by-step explanation:

We can use ratios

15 cans                  x cans

----------------      = ------------------

7*2 people days     4*7 people days

Using cross products

15 * 28 = 14 * x

Divide by 14

15 * 28/14 = x

30 =x

Answer:

x≤1/2

Step-by-step explanation:

4x+16 ≤18

Subtract 16 from each side

4x+16-16 ≤18-16

4x≤2

Divide by 4

4x/4 ≤2/4

x≤1/2

Answer: 3/8

Step-by-step explanation:

When you subtract fractions, you want them to have a common denominator.

[tex]\frac{36}{24}-\frac{27}{24} =\frac{9}{24}[/tex]

This answer is correct, but it is not in the simplest term. To get the simplest term, you want to divide the numerator and denominator by the same number.

[tex]\frac{9}{24} =\frac{3}{8}[/tex]

Answer:

9 carrots

Explanation:

There are different ways to solve these.

The first one is identify the pattern of the graph. You can see that the slope has 3 rises up and 2 runs to the right. So follow that point and you can see that the next coordinate is (6,9).

The second way is identify the pattern of the table. As you can see, the pattern goes like this: [tex]\frac{2}{3} ,\frac{4}{6} ,\frac{6}{y}[/tex]

2/3 = 2/3

4/6 = 2/3

6/y = 2/3

Solve the last one algebraically (cross-multiply first):

6/y = 2/3

2y = 18

y = 18 ÷ 2

y = 9

6/9 = 2/3 (correct)

Answer:

9 carrots

Step-by-step

Answer:

Step-by-step explanation:

Let x be the random variable representing the height of the students. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 68.5

σ = 2.7

the probability that a student's height is between 67.5 and 71.0 inches exclusive is expressed as

P(67.5 < x < 71.0)

For x > 67.5,

z = (67.5 - 68.5)/2.7 = - 0.37

Looking at the normal distribution table, the probability corresponding to the z score is 0.36

For x < 71.0

z = (71.0 - 68.5)/2.7 = 0.93

Looking at the normal distribution table, the probability corresponding to the z score is 0.82

Therefore,

P(67.5 < x < 71.0) = 0.82 - 0.36 = 0.46

The number of students whose height is between 67.5 and 71.0 inches is

0.46 × 1000 = 460 students

The probability that a student's height is greater than or equal to 74.0 inches is expressed as P(x ≥ 74)

P(x ≥ 74) = 1 - P(x < 74)

For x < 74,

z = (74 - 68.5)/2.7 = 2.04

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

P(x ≥ 74) = 1 - 0.98 = 0.02

The number of students whose height are greater than or equal to 74.0 inches is

0.02 × 1000 = 20 students

Answer:

See below.

Step-by-step explanation:

This statement demonstrates the commutative property (of addition). This is because even though the order is switched, the result will remain unchanged and they are equal to each other.

Answer:

Commutative Property of addition

Step-by-step explanation:

This statement demonstrates the commutative property (of addition). means that no. After the order of your calculation, the end result will always be the same.

This is only applicable to addition and multiplication.

Hope this helps

Answer:

Step-by-step explanation:

Negative Radicand

The roots of the equation are imaginary because of negative radicand.

An imaginary number is a number that, when squared, has a negative result. Essentially, an imaginary number is the square root of a negative number and does not have a tangible value.

According to the given question.

We have to take square root both sides of the equation.

Then we get imaginary roots only when there is some negative number under the radical symbol. That is when the radicand is negative.

Hence, the roots of the equation are imaginary because of negative radicand.

Thus, option 1 is correct.

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Answer:

4 dollars is the highest

Answer:4 Is the highest each baseball can cost

Step-by-step explanation: He has $20 and wants to buy 5 baseballs. This leads the equation to be 20/5. Which, after solving the equation makes the highest cost of each ball $4

Answer:

m = 8 and c = 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 8x ← is in slope- intercept form, that is y = 8x + 0

with m = 8 and c = 0

Answer:

(88a+80)(8a+8)

88a(8a+8)+80(8a+8)

704a²+704a+640a+640

704a²+1344a+640

(40y+zy)(4y+zy)

40y(4y+zy)+zy(4y+zy)

160y²+40zy²+4zy²+z²y²

160y²+44zy²+z²y²

Step-by-step explanation:

i hope this will help you

Answer:

2....6......10........14.......18

Step-by-step explanation:

Add 4 each time