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Brian gets 5x and Colin gets x amount.

Brian gets 60 more than Colin, so you get:

5x - x = 60

Simplify to get:

4x = 60

Divide both sides by 4:

x = 15

Brian gets 5x = 5(15) = 75

Colin gets x = 15

75 + 15 = 90

The total amount they get is £90

Answer: a. always true

Step-by-step explanation:

A plane is defined as a line and a point outside this line.

We know that for any set of two points, we can draw a line throug them.

Then if we have "3 points not in the same line" is equivalent to have two points in the same line, and the third point outside of it, then this is the definition of a plane.

Then the correct option is A, always true.

Part A: 5,333[tex]\frac{1}{3}[/tex] square yards

EX: The length of the football field is 100 yards. The width of the field is 53[tex]\frac{1}{3}[/tex] yards.

Part B: 1/10 inch per yard

EX: The scale used in the drawing is 1 inch to 10 yards. I can represent this ratio in several different ways: 1 inch to 10 yards, 1 inch : 10 yards, 1 in/ 10 yd or 1/10

Part C: 10 inches

EX: Set up a proportion where the numerators are the measurements in the scale drawing and the denominators are the actual measurements of the football field:

1 in. / 10 yd. =  × in. / 100 yd.

Cross multiply, and then divide both sides by 10 to solve for x:

100 = 10x

10 = x

Part D: 5 1/3

EX:  Use the actual width of 53[tex]\frac{1}{3}[/tex] yards and the scale to find the width of the field in the scale drawing.

Set up a proportion where the numerators are the measurements in the scale drawing and the denominators are the actual measurements of the football field:

1 in / 10 yd = 53[tex]\frac{1}{3}[/tex] yd

Cross multiply, and then divide both sides by 10 to solve for x:

10x = 53[tex]\frac{1}{3}[/tex]

x = 160/3 ÷ 10

x = 16/3

x = 5[tex]\frac{1}{3}[/tex]

Part E: 53 1/3

EX: In the scale drawing, the length of the football field is 10 inches and the width is 5[tex]\frac{1}{3}[/tex] inches. The area of a rectangle is length × width:

area = length × width

= 10 in. x 5[tex]\frac{1}{3}[/tex] in.

= 53[tex]\frac{1}{3}[/tex] sq. in. ( square inches)

Part F: The ratio is 1 square inch to 100 square yards

EX: The area of the football field in the scale drawing is 53[tex]\frac{1}{3}[/tex]  square inches.

The area of the actual football field is 5,333[tex]\frac{1}{3}[/tex] square yards.

The calculation for the ratio of the scaled area to the actual area is

53[tex]\frac{1}{3}[/tex] sq. in. / 5,333[tex]\frac{1}{3}[/tex] sq. yd. = 1 sq. in. / 100 sq. yd.

Step-by-step explanation:

Answer:1.00

Step-by-step explanation:

A=74-72/2.0

And I did it on kahn

The z - score for the Stephanie’s exam grade will be 1.

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

The grades on a physics midterm at Covington are roughly symmetric with μ = 72 and σ = 2.0.

And,  Stephanie scored 74 on the exam.

Now,

The formula for the z - score = ( X - μ ) / σ

Substitute all the values, we get;

The z - score for the Stephanie’s exam grade = ( 74 - 72 ) / 2.0

                                                                       = 2 / 2

                                                                       = 1

Thus, The z - score for the Stephanie’s exam grade will be 1.

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Answer:

[tex]1.6 \times {10}^{1} [/tex]

Step-by-step explanation:

[tex]160 \times \frac{1}{10} = \frac{160}{10} = 16[/tex]

[tex]16 \: can \: be \: written \: as \: 1.6 \times {10}^{1} [/tex]

Answer:

32 + 14 = 46

Step-by-step explanation:

Nothing much to explain here, just normal addition..

Answer:

The answer is 4

Step-by-step explanation:

The required value of XQ is 9 units if MQ= 3x-3 and XQ= 2x-6.

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment MQ, where the length of line segment XQ refers to the distance between its endpoints, M and Q.

Given that X is the midpoint of MQ

MQ= 3x-3 and XQ = 2x-6

M______________X______________Q

Since M is the midpoint of XQ, So XQ = 2MQ

⇒ MQ = 2XQ

Substitute the values of MQ= 3x-3 and XQ= 2x-6,

⇒ 3x -3 = 2(2x-6)

⇒ 3x -3 = 4x - 12

⇒ 4x - 3x = 12 - 3

⇒ x = 9

Substitute the values of x = 9 in XQ = 2x-6

So XQ = 2(9) - 6 = 18 - 6 = 12

Hence, the required value of XQ is 9 units

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Answer:

Roxana's normal pay is $12.00

Step-by-step explanation:

1.5 times normal hourly rate.

72 in 4 hours,

18 in 1 hour.

18/1.5=12.

Her pay is 12.

Hope this helps plz hit the crown :D

Answer:

O B. g(x) = 1 - x^2

Step-by-step explanation:

Since the function in the graph is headed downwards, we know the portion of [tex]x^{2}[/tex] is negative. And since the highest point of the red line on the y-axis is 1, we can conclude the function represented by the red line is 1 - x^2.

Hope this helped!

Answer:

Option B is correct .

Step-by-step explanation:

According to Question , both the graph have same shape . If we look at the the first graph it cuts x - axis at (0 , 2) and ( 0 , -2) . Hence x = 2 and -2 are the zeroes of the equation .

And ,the given function is ,

[tex]\implies f(x) = 4 - x^2 \\\\\implies f(x) = 4-x^2=0 \\\\\implies 2^2-x^2=0\\\\\implies (2-x)(2+x) = 0 \\\\\boxed{\red{\bf \implies x = 2 , (-2) }}[/tex]

Hence ,we can can see that x = 2 and (-2) are the zeroes of graph.

This implies that if we know the zeroes , we can frame the Equation.

On looking at second parabola , it's clear that cuts x - axis at ( 1, 0 ) and (-1,0). So , 1 and -1 are the zeroes of the quadratic equation . Let the function be g(x) . Here , a and ß are the zeroes.

[tex]\implies g(x) = (x-\alpha)(x-\beta) \\\\\implies g(x) = (1+x)(1-x) \\\\\boxed{\pink{\bf \implies g(x) = 1 - x^2}}[/tex]

Hence option B is correct .

Answer:

Step-by-step explanation:

As per diagram we have:

As per 30° right triangle property:

Area of triangle:

Answer:

x = 11

Step-by-step explanation:

Given that,

The slope of the line, m = 3/4

First point = (x,2)

Another point = (3,-4)

We need to find the value of x.

The slope of a line is given by the formula as follows :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put x₁ = x, y₁ = 2, x₂ = 3, y₂ =-4 and m = 3/4

Put all the values,

[tex]\dfrac{3}{4}=\dfrac{-4-2}{3-x}\\\\3(3-x)=4(-6)\\\\9-3x=-24\\\\9+24=3x\\\\33=3x\\\\x=11[/tex]

So, the value of x is 11.

Answer:

Rewrite the problem vertically, align the decimals, and add a zero. Add the numbers. Jessica ran 26.95 miles.

Step-by-step explanation:

Edge 2021

Thank youuu

Answer:

(b) and (c).

Step-by-step explanation:

The given expression is : 5y+9

In this equation, y is only variable. 5 times of y is added to 9.

Option (a) is incorrect as 9 is constant instead of 5.

Option (b) is correct.

Option (c) is correct as y is only variable here.

Option (d) is incorrect as 5 is coefficient of y only not of whole expression.

Option (d) is incorrect as there are 2 terms i.e 5y and 9.

Hence, correct options are : (b) and (c).

Answer:

The constant of proportionality(Unit rate) is 0.23

Step-by-step explanation:

Given equation is:

[tex]P = 0.23n[/tex]

Here

P is the price and n is the number of apples

The price is usually directly proportional to quantity so the relationship can be written as:

P ∝ n

Removing the proportionality symbol, we get

P = kn

Comparing the given equation with this equation we get

k = 0.23

Hence,

The constant of proportionality(Unit rate) is 0.23

Answer:

im pretty sure 36

Step-by-step explanation:

if you do 120 devided by 30 you get 4, then u just multipy by 9 which is 36.

First you add 40 +10=50 then you multiply 50 x 20=1000/100 which equals 10 then you subtract 10-50= 40 the final price is $40

Step-by-step explanation:

Answer:

Concept: Linear systems

Answer:

[tex] x = \frac{3}{2} + \frac{ \sqrt{5} }{2} ; \: \: x = \frac{3}{2} - \frac{ \sqrt{5} }{2} [/tex]

Step-by-step explanation:

[tex]1 + \frac{1}{ {x}^{2} } = \frac{3}{x} \\ \\ \frac{ {x}^{2} + 1 }{ {x}^{2} } = \frac{3}{x} \\ \\ {x}^{2} + 1 = \frac{3 {x}^{2} }{x} \\ \\ {x}^{2} + 1 = 3x \\ \\ {x}^{2} - 3x + 1 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 1 \\ b = - 3 \\ c = 1 \\ \\ x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x = \frac{ - ( - 3) \pm \sqrt{ {( - 3)}^{2} - 4 \times 1 \times 1} }{2 \times 1} \\ \\ x = \frac{ 3 \pm \sqrt{ {9 - 4}} }{2} \\ \\ x = \frac{ 3 \pm \sqrt{ {5}} }{2} \\ \\ x = \frac{3}{2} + \frac{ \sqrt{5} }{2} ; \: \: x = \frac{3}{2} - \frac{ \sqrt{5} }{2} [/tex]

Answer:

0.55 and 55%

Step-by-step explanation:

Answer:

0.55

55%

Step-by-step explanation:

11/20= 0.55

times 100

55%

Answer:

Step-by-step explanation:

two-dimension

Answer:

I believe two dimensional and a intersection of two angles, not for sure tho

Step-by-step explanation:

Answer:

1.2 meters

Step-by-step explanation:

0.1 meters= 10 centimeters

Answer:

10/14 or 0.71428571428 or 71.428571428571%

Step-by-step explanation:

Answer:basically a small percentage of product you can buy from any company that increases in value over the years

Step-by-step explanation:

Answer:

[tex]-3\cdot x + 5\cdot y = 6[/tex], [tex]6\cdot x -10\cdot y = 14[/tex] is inconsistent.

Step-by-step explanation:

Two linear equations are inconsistent when each group of coefficients associated with each variable have the same multiple and independent coefficients are different and have the same multiple. Since, the set of variables is [tex](x,y)[/tex], then the following condition must be observed:

[tex]k_{x} = k_{y} \ne k_{c}[/tex] (1)

[tex]k_{x} = \frac{a_{x}}{b_{x}}[/tex] (2)

[tex]k_{y} = \frac{a_{y}}{b_{y}}[/tex] (3)

[tex]k_{c} = \frac{a_{c}}{b_{c}}[/tex] (4)

Now we proceed to check each option:

Option 1: [tex]x + 4\cdot y = 20[/tex], [tex]2\cdot x - y = 7[/tex]

([tex]a_{x} = 1[/tex], [tex]a_{y} = 4[/tex], [tex]b_{x} = 2[/tex], [tex]b_{y} = -1[/tex])

[tex]k_{x} = \frac{1}{2}[/tex], [tex]k_{y} = -4[/tex] (This system is not inconsistent)

Option 2: [tex]3\cdot x + 2\cdot y = -2[/tex], [tex]4\cdot x -y = -2[/tex]

([tex]a_{x} = 3[/tex], [tex]a_{y} = 2[/tex], [tex]b_{x} = 4[/tex], [tex]b_{y} = -1[/tex])

[tex]k_{x} = \frac{3}{4}[/tex], [tex]k_{y} = -2[/tex] (This system is not inconsistent)

Option 3: [tex]8\cdot x + 4\cdot y = 16[/tex], [tex]4\cdot x - 2\cdot y = 6[/tex]

([tex]a_{x} = 8[/tex], [tex]a_{y} = 4[/tex], [tex]b_{x} = 4[/tex], [tex]b_{y} = -2[/tex])

[tex]k_{x} = 2[/tex], [tex]k_{y} = -2[/tex] (This system is not inconsistent)

Option 4: [tex]-3\cdot x + 5\cdot y = 6[/tex], [tex]6\cdot x -10\cdot y = 14[/tex]

([tex]a_{x} = -3[/tex], [tex]a_{y} = 5[/tex], [tex]b_{x} = 6[/tex], [tex]b_{y} = -10[/tex])

[tex]k_{x} =-\frac{3}{5}[/tex], [tex]k_{y} = -\frac{3}{5}[/tex] (This system may be inconsistent)

([tex]a_{c} = 6[/tex], [tex]b_{c} = 14[/tex])

[tex]k_{c} = \frac{3}{7}[/tex] (This system is inconsistent)

Answer:

64º

Step-by-step explanation:

We can find ∠F by looking at triangle BDF. A triangle's interior angles add up to 80º. We know that ∠B=77º and ∠D=39º, and ∠B+∠D+∠F=180º. So, 77º+39º+∠F=180º. Therefore, 116º+∠F=180º, and ∠F=64º.

Based on the information given, the value of angle F is 64°.

From the information given, it was stated that angle A=74º, angle B=77º, angle C=70º, angle D=39º, and angle E=36º.

Therefore, the measure of angle F in degrees will be calculated thus:

B + D + F = 180°

77° + 39° + F = 180°

116° + F = 180°

F = 180° - 116°

F = 64°

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Answer: -2.4, -2.25, -11/5, 15/10, 1.6

Step-by-step explanation:

The lowest number would be -2.4. Before you put these numbers in order you will have to convert the -11/5 into -2.2, and the 15/10 into 1.5. After doing this you can put the numbers in order from the lowest of -2.4 the -2.25 the -2.2 and then the numbers switch to positive and 15/10 and then final the highest of 1.6

Answer:

2,4, 2.25, -11/15, 15/10, 1.6