How do I solve this ?

Answer:

5a + 2b is the total amount Hattie spent

Step-by-step explanation:

12a - 7a

4b - 2b

Answer:

900 m^2

Step-by-step explanation:

Let x = length, y = width

perimeter = 2x + 2y = 2(x + y) = 120. so

x + y = 60, or y = 60 - x

Area = xy = x(60 - x) = 60x - x^2

= -(x^2 - 60x + 30^2) + 30^2

= 900 - (x - 30)^2

Note (x - 30)^2 is never negative, at least zero.

When (x - 30) = 0, the area is the largest which is 900 m^2

Answer:

([tex]\sqrt{7}[/tex] - x )([tex]\sqrt{7}[/tex] + x )

Step-by-step explanation:

Using the difference of squares

a² - b² = (a - b)(a + b) , then

7 - x²

= ([tex]\sqrt{7}[/tex] )² - x²

= ([tex]\sqrt{7}[/tex] - x)([tex]\sqrt{7}[/tex] + x)

Answer:

ok

Step-by-step explanation:

Answer:

18 million kilometers in one min. and 0.3 million kilometers in one second

Step-by-step explanation:

so the one min. is easy because all you have to do is take 180 and divide it by 10 and you get 18 million kilometers in one min. and then you would take 18 and divide it by 60 and you would get 0.3 million kilometers in one second

Answer:

200 votes

Step-by-step explanation:

250*.8=200

Answer:

The winning candidate recieved 200 votes.

Step-by-step explanation:

80%=0.8

250*0.8=200

Answer:

8+6= 14

Step-by-step explanation:

I think but I'm not sure

[tex]x = (5/y)^2 + 3[/tex]

Solution:

Simplify the inequality and solve.

The simplified inequality is 1 < k.

[tex] \sf20 < k + 19[/tex]

Move the variable to the left-hand side and change its sign

[tex] \sf20 - k < 19[/tex]

Move the constant to the right-hand side and change its sign

[tex] \sf \: - k < 19 - 20[/tex]

Calculate the difference

[tex] \sf \: - k < - 1[/tex]

Change the signs on both sides of the inequality and flip the inequality sign

[tex] \boxed{ \tt \: k > 1}[/tex]

Answer:

jim is 24 years old,  Mark is 20 years old

Step-by-step explanation:

This prompt can be set up using this equation:

Let's represent Mark's age by variable m and Jim's age by variable J.

j + m = 44

m + 4 = j

m = j - 4

j + (j - 4) = 44

2j - 4 = 44

2j = 48

j = 24

So, jim is 24 years old, meaning mark must be 20 years old. 20 + 24 results in 44 years old together.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let me know if you have any further questions! Spread the love.

Answer: 111.75 copies

Step-by-step explanation:

36 x 3 = 108

60/15 = 4

36/4 = 3.75

108 + 3.75 = 111.75

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"y" varies directly with }x^2}{y=kx^2}\qquad \textit{we also know } \begin{cases} y=8\\ x=2 \end{cases} \\\\\\ 8=k(2)^2\implies 8=4k\implies \cfrac{8}{4}=k\implies 2=k~\hfill \boxed{y=2x^2} \\\\\\ \textit{when x = 3, what is "y"?}\qquad y=2(3)^2\implies y=2(9)\implies y=18[/tex]

8 x [tex]\frac{1}{3}[/tex]

= [tex]\frac{8}{1}[/tex] x [tex]\frac{1}{3}[/tex]

= [tex]\frac{8 x 1}{1 x 3}[/tex]

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

Answer:

8/3 or 2 2/3

Step-by-step explanation:

8 is also equal to 8/1

8/1 x 1/3

you multiply the numerators to get 8

then multiply the denominators to get 3

Answer:

m∠4 = 140°

Step-by-step explanation:

m∠1 = m∠4  (parallel lines with same angle)

m∠2 = m∠3  (parallel lines with same angle)

if m∠2 = m∠3 are equal:

3x + 10 = 5x - 10

3x - 5x = -10 - 10

-2x = -20

x = 10°

m∠2 = m∠3 = 3x + 10 = 3(10) + 10 = 40°

m∠1 + m∠4 + 40° + 40° = 360°

2 m∠4 = 360° - 80°

2 m∠4 = 280°

m∠4 = 140°

Answer:

m∠4 = 140°

Step-by-step explanation:

Vertical Angle Theorem: vertical angles are always congruent.

Therefore, m∠1 = m∠4  and  m∠2 = m∠3

As m∠2 = m∠3, then

⇒ 3x + 10 = 5x - 10

⇒ 20 = 2x

⇒ x = 10

So m∠2 = 3x + 10 = 3(10) + 10 = 40°

m∠2 and m∠4 form a linear pair

Therefore m∠2 + m∠4 = 180°

⇒ 40 + m∠4 = 180

⇒ m∠4 = 140°

Linear pair: a pair of adjacent angles formed when two lines intersect.  The two angles of a linear pair always sum to 180°

[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]

A quadrilateral having two pair of parallel sides is Parallelogram

Hence, Option b is correct

The two consecutive angles of parallelogram are Supplementary.

Hence, Option C is correct

All squares are rectangle is true statement

Hence, Option A is correct

Rhombus is the quadrilateral has diagonals perpendicular to each other

Hence, Option B is correct

it may or may not change

Answer:

No.

Step-by-step explanation:

The denominator only changes when multiplying or dividing.

Answer:

  2x -16

Step-by-step explanation:

The area of each rectangle is the product of its length and width. The shaded area is the difference between the areas of the outside rectangle and the inside rectangle.

  shaded area = (2x -1)(x +6) -(2x +5)(x +2)

  = (2x^2 +11x -6) -(2x^2 +9x +10)

  = (2 -2)x^2 +(11 -9)x +(-6 -10)

  = 2x -16 . . . . . area of the shaded region

The statement best describes the relationship between terms is that they are perfect squares

Perfect squares are the product of an integer with itself

All the terms of the sequences are perfect squares since:

1^ 2 = 1

8^2 - 64

2^2 = 4

Note that since we can multiply the integers together with each other, then they are a perfect square.

The statement best describes the relationship between terms is that they are perfect squares

Learn more on perfect squares here: https://brainly.com/question/1538726

Answer:

Y=3/4x + 1

Step-by-step explanation:

Y intercept x=0

Therefore point(0,1) satisfies.

There fore constant c is 1

Answer:

y = [tex]\frac{3}{4}[/tex] x + 1

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 )

here m = [tex]\frac{3}{4}[/tex] and c = 1 , then

y = [tex]\frac{3}{4}[/tex] x + 1 ← equation of line

Answer:

The diameter of the base of the cylinder is 2 cm.

Step-by-step explanation:

GIVEN :

As per given question we have provided that :

[tex]\begin{gathered}\end{gathered}[/tex]

TO FIND :

in the provided question we need to find :

[tex]\begin{gathered}\end{gathered}[/tex]

USING FORMULAS :

[tex]\star{\underline{\boxed{\sf{\purple{Csa = 2 \pi rh}}}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\purple{d = 2r}}}}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

Firstly, finding the radius of cylinder by substituting the values in the formula :

[tex] \begin{gathered} \qquad{\longrightarrow{\sf{Csa = 2 \pi rh}}} \\ \\ \qquad{\longrightarrow{\sf{88 = 2 \times \dfrac{22}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{\cancel{7}}\times r \times \cancel{ 14}}}} \\ \\ \qquad{\longrightarrow{\sf{88 =44 \times r \times 2}}} \\ \\ \qquad{\longrightarrow{\sf{88 =88 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{r = \frac{88}{88}}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\pink{r = 1 \: cm}}}}}} \end{gathered}[/tex]

Hence, the radius of cylinder is 1 cm.

———————————————————————

Now, finding the diameter of cylinder by substituting the values in the formula :

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{d = 2r}}} \\ \\ \qquad{\longrightarrow{\sf{d = 2 \times 1}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\red{r = 2 \: cm}}}}}}\end{gathered}[/tex]

Hence, the diameter of the base of the cylinder is 2 cm.

[tex]\rule{300}{2.5}[/tex]

CSA of a cylinder = 88 cm²

height = 14 cm

diameter = ?

CSA of a cylinder = 88 cm²

2πrh = 88 cm²

[tex]2 \times \frac{22}{7} \times r \times 14 = 88 cm²[/tex]

[tex]2 \times \frac{22}{1} \times r \times2 \: = 88 cm²[/tex]

[tex]2 \times 22 \times r \times 2 = 88 cm²[/tex]

[tex]88r = 88 cm²[/tex]

[tex]r = \frac{88}{88} [/tex]

[tex]r = 1 [/tex]

Diameter = radius + radius

= 1 + 1

= 2

Answer:

since there are 4 states that start with A and 8 that start with M, this means that out of the 50 states there are 12 states that he could throw a dart at and get either A or M, meaning that 12/50 is the fraction and 12/50 converted into a percentage or decimal is 0.24 meaning that 0.24 is the probability that he throws a dart and hits a state that starts with an A or M

Answer:

Therlanmo proidigy

Step-by-step explanation:

Answer:

1.2 * 10^14

Step-by-step explanation:

Do 2*6 = 12

Do 10^5 * 10^8 = 10^(5+8)=10^13

Multiply the two answers together: 12 * 10^13

Write in scientific notation: 1.2 * 10^14

Solution:

Before we begin solving, I suggest reviewing a rule about multiplying exponents.

Rule about multiplying exponents:

Now, let's solve for the answer.

Open the brackets of both expressions.

Simplify 2 x 10⁵ x 6 x 10⁸.

Add the exponents as per multiplying exponent rule

Hence, the answer is 12 x 10¹³.

Learn more about exponents: https://brainly.com/question/3944602

Answer:

y≥−4/5x−4

Step-by-step explanation:

Im not sure but i think its correct

Answer:

Solution

Let The side of Triangle be ABC.

Let B be perpendicular.

Hypotenuse=30

Perpendicular=?

Base=24

Perpendicular= √h2-b2

=√30×30-24×24

=√900-576

=√324

=18

Answer:

45 I think

Step-by-step explanation:

I think that the answer to the question is 45 and I'm not very sure if if I can explain it to you because I don't know if it's right