Fill in the missing numbers to complete the pattern:

5.28,5.53, ? , ? 6.28,6.53

Answer:

3.1

Step-by-step explanation:

When you round to the nearest tenth 4.35 is 4.4 and 1.27 is 1.3

Answer: 3.1

Step-by-step explanation: Round 4.35 and you get 4.4 round 1.27 you get 1.3 subtract them and you get 3.1

Answer:

a=12      b=25 degrees

Step-by-step explanation:

the tangent of the 25 degree angle gets you your answer

Trigonometry ('triangle', or 'measure') is the branch of mathematics that studies relationships between side lengths or the angles of the triangles

by the question, we have the following parameters:

Vertical Leg = x

Base length = 12

Angle at the vertical side = 25 degrees

The measure of the x is then calculated using the following tangent ratio

tan(x) = Base length / Vertical leg

Substitute known values

tan(x) = 12/x

So, the trigonometric expression that it is be used for find the value of x is tan(x) = 12/x

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Answer:

9.75$

Step-by-step explanation:

Answer:

9.75$

Step-by-step explanation:

The original price of the shirt is $15, and it's on sale for 35% off. What is the item's sale price?

First, convert the 35% to a real mathematical number. For percents, this is always done by dividing the 35% by 100%, or 35% / 100% = 0.350.

Second, find out what 35% of $15 is. This is the amount of the sale discount. This is always found by multiplying 0.350 by the item's cost $15, like this:

0.350 x $15 = $ 5.25.

So for this sale, you'll save $ 5.25 on this item.

This means, the cost of the item to you is

$15 - $ 5.25 = $ 9.75.

Answer:

14

Step-by-step explanation:

3x-8y

(3*10)-(8*2)

30-16

14

Answer:

30-16

Step-by-step explanation:

The two joggers who are 21 miles apart travel at a speed 8 mph and 6 mph respectively and would meet after one and half hours.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let a represent the speed of the faster jogger and represent the speed of the other jogger. Hence:

a = b + 2 (1)

Also:

In one and half hour (1.5 h):

a = d₁/1.5

d₁ = 1.5a

b = d₂/1.5

d₂ = 1.5b

d₁+ d₂ = 21

1.5a + 1.5b = 21   (2)

From both equation 1 and 2:

a = 8, b = 6

The speed of the joggers is 8 mph and 6 mph respectively.

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Answer:

185 children and 35 adults

Step-by-step explanation:

first equation: 6x+4y=1250

second equation: x+y=220

work:

6x+4y=1250 (-1)

x+y=220 (6) we eliminate x, that's why I multiply each term by 6 and -1

-6x-4y=-1250

6x+6y=1320

2y=70

2y/2=70/2

y=35 (I used y for adults)

x+35=220

x=220-35

x=185 (and I used x for children)

hope this helps you^^

Answer:

3,430 Cal.

Step-by-step explanation:

You would multiply the number of days in a week: 7 by 2 (14) and then multiply that bye 245 = 3,430

Answer:

3,430

Step-by-step explanation:

First we have 2 weeks, there are 7 days in a week.

2 x 7 = 14

He burns off 245 a day. We multiply 245 by 14 to get:

3,430

Answer:

The distance is approximately 3.6

Step-by-step explanation:

The distance from a point (xo, yo) to a line ax+by+c=0 is the shortest distance from the given point to any point on the line.

It can be calculated with the formula:

[tex]\displaystyle d={\frac {\mid ax_{0}+by_{0}+c\mid}{\sqrt {a^{2}+b^{2}}}}[/tex]

The coordinates of point A are (1,-2). The equation of the line must be found by knowing two clear points it passes through.

These points are (0,3) and (6,-1). First, we calculate the slope:

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

[tex]\displaystyle m=\frac{-1-3}{6-0}=\frac{-4}{6}=-\frac{2}{3}[/tex]

The equation of the line in slope-point form is:

[tex]y=m(x-x_o)+y_o[/tex]

Taking the point (0,3) and the slope above:

[tex]\displaystyle y=-\frac{2}{3}(x-0)+3[/tex]

Multiply by 3:

[tex]3y=-2x+9[/tex]

Moving all terms to the left side:

[tex]2x+3y-9=0[/tex]

We now have all the required values to calculate the distance:

a=2, b=3, c=-9, xo=1, yo=-2

[tex]\displaystyle d={\frac {\mid 2\cdot 1+3\cdot (-2)+(-9)\mid}{\sqrt {2^{2}+3^{2}}}}[/tex]

[tex]\displaystyle d={\frac {\mid 2-6-9\mid}{\sqrt {13}}}\approx 3.61[/tex]

The distance is approximately 3.6

The specified function's vertex form is [tex]g(x) = 4(x+5)^2 - 100[/tex]

If a quadratic equation is written in the form

[tex]y=a(x-h)^2 + k[/tex]

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

If a polynomial p(x) can be written as:

[tex]p(x) = [f(x)]^2[/tex]

where f(x) is also a polynomial, then p(x) is called as perfect square polynomial

For the considered case, the polynomial specified is;

[tex]g(x) = 40x + 4x^2[/tex]

[tex]g(x) = 40x + 4x^2\\g(x) = 4(x^2 + 10) = 4(x^2 + 10 + 25 -25)\\g(x) = 4(x^2 + 10 + 25) - 100 = 4(x+5)^2 - 100\\[/tex]

Thus, the vertex form of the considered polynomial is [tex]g(x) = 4(x+5)^2 - 100[/tex]

Standard form of a quadratic polynomial is [tex]ax^2 + bx + c[/tex]

Thus, we get: the considered polynomial in standard form as:

[tex]g(x) = 4x^2 +40x[/tex]

[tex]g(x) = 40x + 4x^2 \\g(x) = 4x(10 + x)[/tex]

The considered polynomial has only two terms, therefore, its not a trinomial.

Thus,  the specified function's vertex form is [tex]g(x) = 4(x+5)^2 - 100[/tex]

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Answer:

g(x)=4(x+5)^2-100

Step-by-step explanation:

Have the day you deserve :)

Answer:

10 pages

Step-by-step explanation:

386/42=9.1 pages

but you can not have .1 of a page so you add another page.

Answer:

0

Step-by-step explanation:

He loses it all in 2 hours

Answer:

-25 million

Step-by-step explanation:

Because after 2 hours you will lose all of your money and continue to go down into the negatives.

Step-by-step explanation:

Slope of the line connecting the points (1,-1) & (3,5) is 6/2 = 3

so the equation using point form y-y1 = m(x-x1)

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

y=3x-4

Answer:

0

Step-by-step explanation:

Answer:

0

I hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

Go with anything, and I mean ANYTHING that is in a numerical order with an outlier

LITERALLY 1,2,3,4,5,6,7,8,9,100

you will get a median of 5.5 but with the high outlier, you will get a mean of 14.5

Answer:

Square of 55 is 3025

Square of 7.7 is 5.29

Answer: The Egyptians, Babylonians, and Archimedes.

Step-by-step explanation: The Egyptians and Babylonians were the first known civilizations to use pi.  At the time, Egyptians devised the approximated value of pi as 3.1605.  Archimedes, however, did the first calculation of pi, with its approximate value of 3.141592 or 3.14 to make it shorter.  

Hopefully, this helps you!

Answer:

x = - 3

Step-by-step explanation:

given a parabola in standard form y = ax² + bx + c (a ≠ 0 )

then the equation of the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 6x - 9 ← is in standard form

with a = 1, b = 6 , then the equation of the axis of symmetry is

x = - [tex]\frac{6}{2}[/tex] = - 3 , that is x = - 3

Answer:

$148 pretty sure

Step-by-step explanation:

Answer:

$148

Step-by-step explanation:

Divide 18.50 by 10 to get the cost for 1 guest

18.50 / 10 = 1.85

Multiply 1.85 by 80

Answer:  5 + 3x ≤ 20;  5

Step-by-step explanation:

at most means not more than(less or equal to),which use the symbol ≤. Let x be the hour that Max rent.

5 + 3x ≤ 20

     3x ≤ 15  [Subtract 5 from both sides.]

       x ≤ 5    [Divide 3 from both sides.]

Any value less than or equal to 5 will be satisfies the inequality.

hello

30/42 = x /49

42 x = 1 470

x =  35

30 /42 =  40/ 40 + y

30 y + 1200 = 1 680

30 y = 1 680 - 1 200

30 y = 480

y =  16

Answer:

x = 35

y = 16

Step-by-step explanation:

Both the triangles are similar by AA test of similarity.

[tex] \implies \: \frac{30}{30 + 12} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{30}{42} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{5}{7} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{5}{7} = \frac{x}{49} \\ \\ \implies \: x = \frac{5 \times 49}{7} \\ \\ \implies \huge \red {\boxed{ \: x = 35}}\\ \\ \implies \: \frac{5}{7} = \frac{40}{40 + y} \\ \\ 5(40 + y) = 280 \\ \\ \implies \: 200 + 5y = 280 \\ \\ \implies \: 5y = 280 - 200 \\ \\ \implies \: 5y = 80 \\ \\ \implies \: y = \frac{80}{5} \\ \\ \implies \: \huge { \orange{ \boxed{ y = 16}}}[/tex]

Answer:

2/3 or -5 is correct for all future users.

Step-by-step explanation:

The roots of the quadratic equations or the values of x are -5 and 2/3.

A quadratic equation is an algebraic equation of degree two. An algebraic equation of degree n has exactly n number of roots.

Given a quadratic equation 3x² + 13x = 10 which can be written as,

3x² + 13x - 10 = 0.

Now two numbers that add to 13 and multiplied to -30 are 15 and - 2.

3x² + 15x - 2x - 10 = 0.

3x(x + 5) - 2(x + 5) = 0.

(x+5)(3x-2) = 0.

x + 5 = 0 OR 3x -2 = 0.

x = -5 OR x = 2/3.

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[tex]PQRS[/tex] is a rhombus since [tex]\overline{QR} \cong \overline{RS}[/tex] and [tex]m\angle R \neq 0^{\circ}[/tex], [tex]m\angle R \neq 90^{\circ}[/tex] and  [tex]m\angle R \neq 180^{\circ}[/tex]. [tex]\blacksquare[/tex]

In this question we must prove that a given parallelogram is a rhombus. A rhombus is quadrilateral with four sides of equal length and two pairs of angles of equal measure, different to each other. We must demonstrate that [tex]\overline {QR} \cong \overline {RS}[/tex] and [tex]m\angle R \neq 90^{\circ}[/tex] and [tex]m\angle R \neq 0^{\circ}[/tex] and [tex]m\angle R \neq 180^{\circ}[/tex] by geometric and algebraic definitions and theorems:

[tex]PQRS[/tex] is a rhombus since [tex]\overline{QR} \cong \overline{RS}[/tex] and [tex]m\angle R \neq 0^{\circ}[/tex], [tex]m\angle R \neq 90^{\circ}[/tex] and  [tex]m\angle R \neq 180^{\circ}[/tex]. [tex]\blacksquare[/tex]

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The sample in the table is used to show the preference of each student

156 students preferred country music

From the question, we have:

Country = 6

Total students = 650

Total proportion = 25 i.e. 12 + 7 + 6

So, the number of students that preferred country music is:

Country = 6/25 * 650

Evaluate the product

Country = 156

Hence, 156 students preferred country music

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Answer:

3.125 U.S. cups

take how many cups are in one ounce and multiply it.

Answer:

Step-by-step explanation:

Letter Grade Percentage Points Level

A+ 95-100                         4.00  Exceptional

A 90 to less than 95          3.75          Excellent

B+ 85 to less than 90          3.50    Superior

B 80 to less than 85          3.00     Very Good

C+ 75 to less than 80          2.50     Above Average

C 70 to less than 75          2.00      Good

D+​​ 65 to less than 70           1.50       High-Pass

D​ 60 to less than 65           1.00        Pass

F Less than 60                   0.00         Fail