Evan made 2 pieces of toast and cut each one into thirds. How many 1/3 toast pieces did Evan have? Draw a model to explain

Answer:

A = 23.2 mm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 8 and h = 5.8 , then

A = 0.5 × 8 × 5.8 = 4 × 5.8 = 23.2 mm²

Answer:

7x + 2y = 9

Step-by-step explanation:

standard form is always written as:

Ax + By = C

Answer:

7

Step-by-step explanation;

Rewriting our equation with parts separated:

4+1/7+2+6/7

Solving the whole number parts:

4+2=6

Solving the fraction parts:

1/7+6/7=7/7 (7/7 is a whole number) But first before simplifing, reduce the fraction, 7/7=1/1. Then 1/1=1.

Combining the whole and fraction parts:

(Solving the whole number parts - 6)

(Solving fraction parts - 1)

Answer:

You need to give the answer in ratio

Its really easy

Answer:

B

Step-by-step explanation:

Answer:

57.6 inches long

Step-by-step explanation:

First, we need to find out how much the nake grew.

144 x 0.6

= 86.4

Now subtract that from its current height.

144 - 86.4

= 57.6

Answer:

it was 57.6 inches long

Step-by-step explanation:

snake length

144 inches

pervious length is 60% shorter than current length

60% of 144

144 × 60 ÷ 100 = 86.4 inches

if it was 60% shorter then current

144 - 86.4 = 57.6 inches

Answer:

92

Step-by-step explanation:

plug -4 into the function

3(-4)²-10(-4)+4

48+40+4

92

Answer:

92

Step-by-step explanation:

f(-4)=3(-4)^2-10(-4)+4

=3(16)-10(-4)+4

=48+40+4

=92

Answer:

1/12

Step-by-step explanation:

Answer:

$3.24 tax

Step-by-step explanation:

5.5% or 0.055 out of 59 is the same as 59 * 0.055

59 * 0.055 = 3.24

Answer:

3.25.

Step-by-step explanation:

59 x .055= 3.245 which rounds to 3.25

Answer:

umm actually x is equal to 15 cause

5 (15) + 11 = 86 try solving it hope it helps

cause all you had to do is find the value of X

thank me later if it's right, kk?

Step-by-step explanation:

[tex]x: 77 = 7 : 11 \\x = \frac{77 \times 7}{11} = \\ = 49[/tex]

From the given equivalent ratio the value of x is the number 49.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The given equivalent ratios are x:77=7:11

"Two or more ratios that reflect the same relation or comparison of numbers are known as equivalent ratios," according to the definition of the equivalent ratio. The idea of corresponding fractions is comparable. The term "proportion" also refers to the equivalence of two ratios.

Here, x/77 = 7/11

Multiply both the numerator and denominator of the ratio 7/11 by 7, we get 49/77

Now, x/77 = 49/77

So, x=49

Therefore, the value of x is 49.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

Answer:

(a) The amount owed At the end of 1 year is $3,815

(b) The amount owed At the end of 2 years is $4,158.35

Step-by-step explanation:

The given parameters on the loan amount are;

The amount Salma borrows = $3,500

The interest rate at which the loan is borrowed, r = 9% compound interest annually

The assumption are that no payments are made out of the loan

(a) The formula for finding a compound interest loan amount, 'A' is given as follows;

[tex]A = P\cdot \left(1 + \dfrac{r}{n} \right)^{n\cdot t}[/tex]

Where;

A = The amount owed

P = The principal (the initial amount borrowed)

r = The interest rate = 9% = 0.09

n = The number of times the interest is paid per unit period, 't' = 1

t = The number of periods  of the loan = Number of years

At the end of 1 year, t = 1, we get;

[tex]A = 3,500 \times \left(1 + \dfrac{0.09}{1} \right)^{1 \times 1} = 3815[/tex]

The amount owed, A = $3,815 at the end of 1 year

(b) The amount owed at the end oy 2 years is found by plugging in t = 2 years into the formula for finding the amount owed by the borrower, therefore, we get;

[tex]A = 3,500 \times \left(1 + \dfrac{0.09}{1} \right)^{1 \times 2} = 4,158.35[/tex]

At the end of 2 years, the amount owed, A = $4,158.35

GF = ½ RT

Step-by-step explanation:

SG=GR (given)

SF=FT (given)

line GF is a midpoint in triangle RST, so it is therefore ½ the angle parallel to it(viz. RT)

Answer:

Part A

The 95% confidence interval is approximately 12.66 ≤  [tex]m_R[/tex] - [tex]m_D[/tex] ≤ 13.34

Part B

We are 95% confident that the true difference in the mean amount of waste per dollar stated by the two categories of adults is larger than zero and it is approximately between 12.66 and 13.34

Step-by-step explanation:

Part A

The given parameters are;

The mean amount adults that consider themselves Republican say is wasted for every dollar, [tex]m_R[/tex] = 54 cents

The standard deviation of the statistics, s₁ = 2.9 cents

The number of respondents in the group, n₁ = 513

The mean amount adults that consider themselves Democrats say is wasted for every dollar,   [tex]m_D[/tex]  = 41 cents

The standard deviation of the statistics, s₂ = 2.6 cents

The number of respondents in the group, n₂ = 513

The F-test, F = s₁²/s₂² = 2.9²/2.6² = 1.244

The critical-t, t* = 1.962

F ≤ t*, therefore, we pool the data

[tex]s_p =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]

[tex]s_p =\sqrt{\dfrac{\left ( 513-1 \right )\cdot 2.9^{2} +\left ( 513-1 \right )\cdot 2.6^{2}}{513+513-2}} = \sqrt{7.585}[/tex]

The 95% confidence interval is given by the following formula;

[tex]\left (m_R- m_D \right )\pm t^* \cdot s_p \cdot\sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]

The test statistic, is given as follows;

[tex]t = \dfrac{m_R - m_D}{s_p \times\sqrt{ \dfrac{1}{n_1} + \dfrac{1}{n_2}} }[/tex]

Therefore;

[tex]t = \dfrac{54 - 41}{\sqrt{7.585} \times\sqrt{ \dfrac{1}{513} + \dfrac{1}{513}} } \approx 75.598[/tex]

Given that the test statistic, t = 75.598 > The critical-t, t* = 1.962, we reject the null hypothesis, therefore, there is significant statistical evidence to suggest that there is a difference in the mean stated by the two sets

[tex]s_p =\sqrt{\dfrac{\left ( 513-1 \right )\cdot 2.9^{2} +\left ( 513-1 \right )\cdot 2.6^{2}}{513+513-2}} = \sqrt{7.585}[/tex]

[tex]C. I. = \left (54- 41 \right )\pm 1.962 \times \sqrt{7.585} \times \sqrt{\dfrac{1}{513}+\dfrac{1}{513}}[/tex]

The 95% confidence interval, C.I. ≈ 12.66 ≤  [tex]m_R[/tex] - [tex]m_D[/tex] ≤ 13.34

Part B

From the 95% confidence interval, we are 95% confident that the true difference in the mean amount adult who consider themselves Republicans say politicians waste and the true difference in the mean amount adult who consider themselves Democrats say politicians waste is between 12.66 and 13.34

Given that there is no '0' in the range of values in the 95% confidence for the difference in mean from the two groups,  difference in the mean amount of waste per dollar observed by the two categories of adults.

Answer:

B is the correct answer

Answer:

D.

Step-by-step explanation:

7×3 = 21.

t × t = t².

y = y.

21t²y.

hope it helps. :)

Step-by-step explanation:

Let x be the number of households you mowed grass.

Let y be the number of households you shoveled snow.

From there, we know,

[tex]x + y = 22[/tex]

as equation 1.

next we also know,

[tex]150x + 225y = 3900[/tex]

as equation 2.

From here we know we can solve using simultaneous equations.

rearranging equation 1 with y the subject,

[tex]y = 22 - x[/tex]

Substitute this equation into equation 2.

[tex]150x + 225(22 - x) = 3900 \\ 150x + 4950 - 225x = 3900 \\ - 75x + 4950 = 3900 \\ - 75x = 3900 - 4950 \\ - 75x = - 1050 \\ x = - 1050 \div - 75 \\ = 14[/tex]

now substitute x = 14 into equation 1.

[tex]14 + y = 22 \\ y = 22 - 14 \\ = 8[/tex]

Therefore, you have mowed grass for 14 households and shovelled snow for 8 households.

Answer:

Experimental study

Step-by-step explanation:

Answer:

It depends what you are comparing that height to, but in general 0.5 meters is low.

Answer:

y = -3x + 4

Step-by-step explanation:

x   y

0  4

1    1

2  -2

Going down 3 for every increase of x by 1, when x = 0, y = 4

Answer:

The slope is 1

Step-by-step explanation:

m=4+8/3+9

m=12/12

m=1

Hope it helps :)

Brainliest maybe  . . :o

Answer:

A=πr^2

22/7×6×6

=113 1/7

Answer:

D.

Step-by-step explanation:

So the question is asking which set of inequalities and given point represent the graph. The point it gives is (-3,1) on the graph. That already narrows your choices down to B and D. Now, the easiest way to see the answer is look at the y axis. In the equation y=mx+b, b is the value on the y axis. We see on the y axis that the equations pass through positive 1 and 2. D adds 1 and 2 the equations, so it would produce that graph.

Answer:

Step-by-step explanation:

The y-intercept of the line shown is -4.

9514 1404 393

Answer:

  A. some values (x = 4)

  B. all values

  C. no values

Step-by-step explanation:

If you subtract the right-side expression from both sides of an equation, so you get something of the form ...

  f(x) = 0

Then there are three possibilities:

  f(x) is some function of x . . . . "some values" make it true*

  f(x) = 0 . . . . "all values" make it true; the equation is an identity

  f(x) = constant (non-zero) . . . . "no values" of x will make it true

___

A: 3x = x +8

  3x -(x +8) = 0

  2x -8 = 0 . . . . . . . . true for "some" values of x, namely, x = 4

__

B: 5x -(x +x +x +x +x) = 0

  0 = 0 . . . . . . . . . . . true for "all" values of x

__

C: 2(x +5) -(2x +5) = 0

  2x + 10 -2x -5 = 0

  5 = 0 . . . . . . . . . . . true for "no values" of x (always FALSE)

_____

* The possibility exists that the function f(x) does not have 0 in its range. In that case, there are no real solutions for the equation. For example |x|+1 = 0 has no solutions. For expressions linear in x, there will always be a solution.

Answer:

Height = 4 ft

Step-by-step explanation:

Base are : 84.3 ft square

Volume : 337.2 square cuboid

Answer:  $4467.25

Step-by-step explanation:

Exponential decay problem. 8000(0.89)^5.  

100-11 = 89

89/100= 0.89, that is how we got the decimal.

Then, solve.

0.89 * 0.89 * 0.89 * 0.89 * 0.89 = 0.5584059449

0.5584059449 * 8000 = 4467.2475592

Round the decimal part to the nearest hundredth, which is $4467.25.