Use numerals instead of words. 5 less than a number is equivalent to 1 more than three times the number. The number is __ ?​

Answer:

a T-shirt costs £5

a hat costs £2

Step-by-step explanation:

Suppose

A T-shirt=x

A Hat=y

So the equation is

8x+y=42

3x+y=17

So

8x+y=42

3x+y=17

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

5x=25

x=5

So a T-shirt costs £5

3.5+y=17

15+y=17

y=2

So a hat costs £2

Answer:

t-shirt: £5

hat: £2

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

20 men in the dance recital.

Step-by-step explanation:

tt

Answer:

b. 14

Step-by-step explanation:

Answer:

The radius of the sphere is 7 units

Step-by-step explanation:

Surface Area

Given a sphere of a radius (r), the surface area is given by the formula:

[tex]\displaystyle A=4\pi r^2[/tex]

If the surface area is given, we can solve for r:

[tex]\displaystyle r=\sqrt{\frac{A }{4\pi }}[/tex]

The surface area of a sphere is given A=196π.

Calculating the radius:

[tex]\displaystyle r=\sqrt{\frac{196\pi}{4\pi }}[/tex]

[tex]\displaystyle r=\sqrt{49}[/tex]

r = 7 units

The radius of the sphere is 7 units

Answer:

20 bags

Step-by-step explanation:

1400/70

Answer:

20 bags

Step-by-step explanation:

1400 ÷ 70 = 20

Answer: A, B, and D are correct!

Step-by-step explanation:

Hope this helps! :)

The three proportions that are set up correctly for the reduction of a triangle are:

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Options 1, 2, and 3 are correct.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The three proportions that are set up correctly for the reduction of a triangle are:

1)

original height / original base = reduction height / reduction base

This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.

2)

original height / reduction height = original base / reduction base

This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.

3)

original height / reduction base = reduction height / original base

This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.

Thus,

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

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Answer:

idek

Step-by-step explanation:

9514 1404 393

Answer:

  (-8)(1) = -8

Step-by-step explanation:

The multiplicative identity element is 1. Multiplying by 1 does not change the value. This is illustrated by ...

  (-8)(1) = -8

Answer:

[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]

Step-by-step explanation:

Given

VA; [tex]x = 2[/tex]

SLA: [tex]y = 5x - 1[/tex]

Zero of function: [tex](-1,0)[/tex]

Required

Determine the rational function in expanded form

Analyzing the vertical asymptote

The vertical asymptote is given as:

[tex]x = 2[/tex]

Subtract 2 from both sides

[tex]x - 2 = 2 - 2[/tex]

[tex]x - 2 = 0[/tex]

This means that the denominator must be [tex]x - 2[/tex]

Analyzing the zero of the function

The zero of the function is given as: [tex](-1,0)[/tex]

This means that [tex]x = -1[/tex], when [tex]y = 0[/tex]

Equate [tex]x = -1[/tex] to 0 by add 1 to both sides

[tex]x + 1 =- 1 + 1[/tex]

[tex]x + 1 =0[/tex]

This means that one of the numerators must be [tex]x + 1[/tex]

Analyzing the slant asymptote:

[tex]y = 5x - 1[/tex]

This means that one of the numerators must be [tex]5x - 1[/tex]

Hence, the function is:

[tex]f(x) = \frac{(5x - 1)(x+1)}{x - 2}[/tex]

Expand the numerator

[tex]f(x) = \frac{5x^2 + 5x - x - 1}{x - 2}[/tex]

[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]

Answer:

Best answer would be D

Step-by-step explanation:

For A, the statement is only true with x as 1

For B, other values for x can make the equation wrong

And for C, it's just wrong.

Answer:

X=8

Step-by-step explanation:

46+9x-8=14x-2

46-8+2=14x-9x

40=5x

8=x

Answer:

x=8

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

3 2/3

Step-by-step explanation:

In addition, the denominator has to be the same and it doesn't change when 2 fractions are added together, unless ur trying to simplify the equation, anyways:

2 2/9 +1 4/9

3 6/9

simplify

3 2/3

Answer:

I will try to described the smallness to the best of my ability. take two chairs - face them to each other - put a 12" square table between them leave enough room to open a 24" door and you have ...

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

transversal angles

Step-by-step explanation:

When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles . When the lines are parallel, the corresponding angles are congruent .

Answer:

D: 5:2

Step-by-step explanation:

40:16 simplified is 5:2

The simplest form of the ratio 40:16 is 5:2.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

To find the simplest form of the ratio 40:16, we can divide both terms by their greatest common factor (GCF).

First, let's find the GCF of 40 and 16.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

The factors of 16 are 1, 2, 4, 8, and 16.

The largest number that appears in both lists is 8.

Therefore, the GCF of 40 and 16 is 8.

To simplify the ratio, we divide both terms by 8:

40 ÷ 8 = 5

16 ÷ 8 = 2

Thus,

The simplest form of the ratio 40:16 is 5:2.

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Answer:

63.33333333333

Step-by-step explanation:

Answer:

40squared units!

I hope it will be useful.

Answer: 40 square units

Step-by-step explanation:

I took the assignment

Answer:

Wednesday

Step-by-step explanation:

Monday- ~5.6 as a decimal

Tuesday- 5.625 as a decimal

Wednesday- 5.375 as a decimal

Thursday- 5.8 as a decimal

therefore, Mrs.Mayes worked the least on Wednesday. Also she needs some break

Answer:

Wednesday

Step-by-step explanation:

For each of the fractions you can put them into decimals. Wednesday had the lowest decimal at 5.37

Answer:

B = 70

Step-by-step explanation:

Answer:70

Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

The two squares have equal areas.

For each square:

area = 32 units^2

For a square:

area = side^2

side^2 = 32

side = sqrt(32)

For the two squares, the length of the side is sqrt(32).

The sides of the squares are the legs of the right triangle.

a^2 + b^2 = c^2

(sqrt(32))^2 + (sqrt(32))^2 = x^2

32 + 32 = x^2

x^2 = 64

x = 8

Answer: 8 units

Answer

8 units

Explanation

The side of one of the squares is the same length as one of the legs on the triangle.

To find one side of the square, you need to find the square root, because to find the area of a square, you need to square the sides. To find one side, you do the opposite.

So the length of one side is the square root of 32.

Now don't worry that this is a weird number (which is 5.656854249...) because we'll be squaring it again.

The length of one side of the square is the leg of a right triangle.

To find the hypotenuse (or the longest side), you need to use the Pythagorean theorem.

[tex]l^{2} + l^{2} = h^{2}[/tex]

The square root of 32 squared is 32.

[tex]32+32=h^{2}[/tex]

[tex]64=h^{2}[/tex]

To find h, you need to find the square root. The square root of 64 is 8.

Therefore, the length of x is 8 units.

Answer:

your answer is that it decreases to 7%

Answer:

28% decrease

Step-by-step explanation:

(18−25)|25|×100

=−725×100

=−0.28×100

=−28%change

=28%decrease

The answer to this question is

x=15/8

1/2x+3/2(x+1)-1/4=5

1/2x+3/2(x+1)-1/4=5

(1/2x+3/2x)+3/2-(1/4)=5

4/2x+3/2-(1/4)=5

4/2x+(3/2–1/4)-(3/2–1/4)=5-(3/2–1/4)

4/2x+0=5-(3/2–1/4)

2x=5-(6/4–1/4)

2x=5-(5/4)

2x=3 3/4

2x/2=(3 3/4)/2

x=15/4(1/2)

x=15/8

1/2x+3/2(x+1)-1/4=5 (Expand the polynomial)

(1/2x+3/2x)+3/2-(1/4)=5

4/2x+3/2-(1/4)=5

4/2x+(3/2–1/4)-(3/2–1/4)=5-(3/2–1/4)

4/2x+0=5-(3/2–1/4) (Express the fractions on the right side of the equation in the common denominator 4)

2x=5-(6/4–1/4)

2x=5-(5/4)

2x=3 3/4

2x/2=(3 3/4)/2

x=15/4(1/2)

x=

15/8 or 1 7/8 as a mixed fraction or 1.875 as a decimal numeral

PROOF

If x=15/8, then the inverse of the equation 1/2x+3/2(x+1)-1/4=5 returns

2x+(6/4–1/4)=5

2(15/8)+(6/4–1/4)=5

15/4+(5/4)=5

(15+5)/4=5

20/4=5 and

5=5 proves the root (zero) x=15/8 of the statement 1/2x+3/2(x+1)-1/4=5

C.H.

1/2x+3/2(x+1) --1/4=5

1/2 (1/x+3/ (x+1) =5+1/4

1/x + 3/x+1 =(5+1/4) ×2/1

x+ 1 +3x /x (x+1) = 10+1/2 =21/2

4x+1 = 21/2 [x^2+x]

8x+2= 21x^2+21x

21x^2 +-13 x -2 =0

a =21 b= 13 c= -2

X= [13 + -- (169 -- 4×21× -2)^1/2 ] /2×21

=[13 + - ( 169 + 168 )^1/2] /2×21

Discriminat =169+168=337 >0

Answer and explanation:

Question is incomplete

Question will likely ask how much is the rest of the money paid for gas.

We use algebra to find how much is the rest of the money paid for gas

So given

total cost of the trip = $1,145.55

total cost of tickets for amusement park = $341.25

The total cost of three hotel rooms = $454.65

total cost for the show they were going to see = $153.65

Let's call rest of money spent on gas x

Hence the equation for total cost with all expenditures,

$341.25+$454.65+$153.65+x=$1,145.55

Solve for x

$949.55+x=$1145.55

x=$1145.55-$949.55

x= $196

Therefore amount spent on gas for the trip =$196

Answer:

v= -3/4

Step-by-step explanation:

i think that's the answer djxndnxnnx

Answer:

3v=-14 +10

3v=-4

v= - 4/3

Please mark as brainliest

The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.

The formula is C=2πr

Answer:

Yes

Step-by-step explanation:

I would say yes, x is multiplied by itself to get an answer for y.

Answer:

He will be able to make 16 pieces of lumber

Step-by-step explanation: