The hypotenuse and a leg of a particular right triangle are $\sqrt{97}$ inches and 4 inches, respectively. The area of this triangle is what common fraction of a square foot?

Answer:

13.6

Step-by-step explanation:

Since it is asking for 1 decimal place, we assume that it is the tenths decimal place. Since the hundredths decimal place is ≥5, we round up to 6.

There is no such thing as ones in decimals, so I am assuming you mean tenths. If you were to round this to the tenths place, the answer would be 13.6.

13.555 → 13.6 (4 and below, leave it alone. 5 and up, round it up)\

Hope this helps!

Answer:

x = 6

Step-by-step explanation:

4x + 23 = 9x - 7

23 = 9x - 4x - 7

23 + 7 = 5x

30 = 5x

30 ÷ 5 = x

6 = x

x = 6

Step-by-step explanation:

a) $410 × £0.72 = £295.20

Answer: -8/-4

Step-by-step explanation:

When a negative integer gets divided my another negative integer, it results in a positive number. This means that we can eliminate all the negative symbols in this problem

18/9 = 2

Now all is left to determine which other expression is equivalent to 2

In the expression -10 / 5, since there is only one negative symbol, the postulate for negative number division states that two negative integers makes a positive number, and there is one negative integer and one positive whole number.

18/2 = 9 = incorrect

12/3 = 4 = incorrect

-10/5 = -2 = incorrect

8/4 = 2 = correct

So the expression -8/-4 is equivalent to the expression -18/-9

Answer:

Its D

Step-by-step explanation:

took the test its right, yw

Answer:

see below

Step-by-step explanation:

3 ^ ( 6/5)

The base a is 3

The power is 6 which is b

the root is 5 which is c

[tex]\sqrt[5]{3^6}[/tex]

Answer:

Its B

Step-by-step explanation:

Answer:B 4(x – 7)2 – (x – 7) + 3Step-by-step explanation: got it ridgt on test

Answer:

69

Step-by-step explanation:

The median is the middle number.  Using the box and whisker box, the median is the middle line in the box.    The line is at 69 for  Genevieve

Answer:

                [tex]\dfrac{1}{30}[/tex]

Step-by-step explanation:

6 symbols and 4-symbol code so number of combinations wich doesn't contain the same symbol twice would be:

6•5•4•3 = 360

If code starts with a star followed by triangle that means only one posibility for first two symbols and code doesn't containing the same symbol twice means that left 4 symbols for next two.

So number of combinations of code starting with a star followed by triangle and doesn't containing the same symbol twice will be:

1•1•4•3 = 12

The probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice:

[tex]\dfrac{1\cdot1\cdot4\cdot3}{6\cdot5\cdot4\cdot3}=\dfrac{1\cdot1}{6\cdot5}=\dfrac{1}{30}[/tex]

Answer:

D.(-4,-8) and(2,4)

Step-by-step explanation:

y=-2x

y=x²-8

this means that the two equations are equal because they both add up to y

thus; x²-8=-2x

formulae=Ax²+bx+c=0

x²+2x-8=0

find two numbers which multiplied will give you x² and when added will give you 2x that is x and x

x²+x+x-8=0

x(x+1)+1(x-8)=0

(x+1)(x-8)=0

1)x+1=0. x= -1

1)y=-2x

y=-2(-1)=2

y=2

2)y=x²-8

y=1²-8= -8

y= -8

note*this means that the answer should have both 2 and -8 thus d is the answer

Answer:

x≤7.8  ⇒(-∞;7.8]

x<7.8  ⇒ (-∞;7.8)

x>7.8  ⇒ (7.8; ∞)

x≥7.8  ⇒ [7.8; ∞)

Step-by-step explanation:

Hi, to answer this question we have to analyze each expression:

• x≤7.8

The solution is all the numbers less or equal to 7.8, since it can be equal to 7.8, it includes 7.8 , we have to use closed brackets

(-∞;7.8]

• x<7.8

All the numbers less than 7.8 , it excludes the endpoint , it's an open interval (parenthesis)

(-∞;7.8)

• x>7.8

All the numbers higher than 7.8, open interval (parenthesis)

(7.8; ∞)

• x≥7.8

All the numbers higher or equal to 7.8, closed interval (closed brackets for the endpoint)

[7.8; ∞)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the fish bowl contains blue, green and red plastic fishes, it means that a fish picked at random would be any of these colors.

the probability of it being blue is 0.7 and the probability of it being green is 0.2, then probability of Matt picking a red fish is

1 - (0.7 + 0.2) = 0.1

If there are 60 fishes in the fish bowl, then the number of fishes that are red is

0.1 × 60 = 6 fishes

Answer:

Option D.

Step-by-step explanation:

The given expression is

[tex]\dfrac{(5ab)^3}{30a^{-6}b^{-7}}[/tex]

We need to find the expression, which is equivalent to the given expression.

The given expression can be rewritten as

[tex]\dfrac{5^3a^3b^3}{30a^{-6}b^{-7}}[/tex]     [tex][\because (ab)^m=a^mb^m][/tex]

[tex]\dfrac{125}{30}\times \dfrac{a^3}{a^{-6}}\times \dfrac{b^3}{b^{-7}}[/tex]

[tex]\dfrac{25}{6}\times a^{3-(-6)}\times b^{3-(-7)}[/tex]    [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]

[tex]\dfrac{25}{6}\times a^{3+6}\times b^{3+7}[/tex]

[tex]\dfrac{25a^9b^{10}}{6}[/tex]

Therefore, the correct option is D.

Answer:

The correct option is D

Step-by-step explanation:

Answer:

The fourth one

Step-by-step explanation:

Only the first one x and y interval 1, 2. The rest aren't linear.

Answer:

Step-by-step explanation:

it is the fourth one

Answer:

Both of these examples are wrong. You cannot add/subtract integers and square roots together, however, you could add square roots together if they have the same number under the square root. For example, 2 - 2√6 will stay as 2 - 2√6 because they aren't like terms. 25 + 5√5 + 5√5 + 5 = 30 + 10√5 because 25 + 5 = 30 and 5√5 + 5√5 = 10√5. We can add 5√5 and 5√5 together because they have the same number under the square root. If we were to compute √2 + √3, we would just leave it as is because they don't have the same number under the square root.

Answer:

-4 points

Step-by-step explanation:

Since each incorrect answer is worth the same amount of negative points, use the equation below.

3x = -12      DIvide both sides by 3

x = -4 points  

Hello there! :)

Answer:

y = -4x.

Step-by-step explanation:

Begin by finding the slope of the line using the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in two points on the graph. We can use the points (-1, 4) and (0, 0):

[tex]m = \frac{0 - 4}{0 - (-1)}[/tex]

Simplify:

m = -4.

Therefore, the equation of this line in slope-intercept form (y = mx + b) is:

y = -4x.

Answer:

10 to the left I believe

Step-by-step explanation:

Answer:

Is $9

Step-by-step explanation:

$9 because you subtract 17.50 from 53.50 and you will get 36 and then divide by 4 which make it $9 a shrub

Answer:

Y= -9, -4, 1, and 11

Step-by-step explanation:

You substitute in the numbers on the left (under x) into the equation to find y.

Answer:  

Step-by-step explanation:

Concentration            Amount of             Amount

of Solution                   Solution (L)             of Acid

    15%                                x                         0.15x

    33%                               y                         0.33y

    21%                              40                      0.21•40      

x + y = 40    ⇒  x = 40 - y

0.15x + 0.33y = 0.21•40

0.15(40 - y) + 0.33y = 0.21•40

6 - 0.15y + 0.33y = 8.4

  0.18y = 2.4

        y = 13¹/₃

x = 40 -  13¹/₃ = 26²/₃

Answer:

1. 2/3 or 66.7%

2. 3/5 or 60%

3. 6

4. 1/6 or 16.7%

5. 2/5 or 40%

Step-by-step explanation:

Answer:

A. -259

B. inverse function is 1/2 √(-x-3)

Step-by-step explanation:

Here, we want to find f(8)

Simply substitute x = 8 in the equation.

The equation is

f(x) = -4x^2 -3

So f(8) = -4(8)^2-3

f(8) = -256-3

f(8) = -259

Inverse of f(x) = -4x^2 -3

Simply equate this to m

m = -4x^2-3

-4x^2 = m + 3

x^2 = (m + 3)/-4

x^2 = -m/4 -3/4

x = √(-m-3)/4

x = 1/2√(-m-3)

Put back the value of x for m

x = 1/2 √(-x-3)

Answer:

The gradient is the same as the slope. To find the slope, let's convert this from standard form to slope-intercept form.

4x - 3y + 5 = 0

4x + 5 = 3y

4/3x + 5/3 = y therefore the answer is 4/3.

Answer: OA) (4, -2), (-2, 2), (2, -2), (4, 2)

Step-by-step explanation:

Answer:

number 1

Step-by-step explanation:

Answer:

38/21 or 1.80952381

Step-by-step explanation:

Answer:

(76/3) / 14 OR AROUND 9/5

Step-by-step explanation:

So I'm assuming this equation is (76/9) / (14/3)

We can solve this in a simple way instead of a hard way -->

9 and 3 can cancel out to 3 and 1 so we have (76/3) / (14)

76/3 = 25 1/3 --> 25 1/3 / 14 If you simplify this it's around 1 4/5 or 9/5

Hope this helps!

Answer:

50

Step-by-step explanation:

d-nr of ducks

g- nr of goats

2*d+4*g=260

d+g=80            /*(-2)

2d+4g=260

-2d-2g=-160

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

      2g=100

      g=100/2

     g=50

Answer:

Option D is the correct option

Solution,

Let no.of ducks be X

Let no.of goats be y.

Total heads= X+y=80 ➡️ equation (i)

Total legs= 2x+4y=260➡️ equation (ii)

X= 80-y

[tex]2(80 - y) + 4y = 260 \\ or \: 160 - 2y + 4y = 260 \\ or \: 160 + 2y = 260 \\ or \: 2y = 260 - 160 \\ or \: 2y = 100 \\ or \: y = \frac{100}{2} \\ y = 50[/tex]

Number of goats= 50

Hope this helps...

Good luck on your assignment...

6% of $14.00=$0.84 so the total cost of shorts=$14.84

6% of $25.00=$1.50 so the total cost for soccer ball=$26.50

6% of $10.00=$0.60 so the total cost of shin guards=$10.60

$60.00+$104.94+$109.94+$115.54+$120.54=$510.96

36% of $510.96=$183.95 so the total cost of cleats=$694.91

694.91+$10.60+$26.50+$14.84=$746.85

$746.85+$5=$751.85

Answer:

its option d $120.54

Step-by-step explanation:

ALSOOOO a braddison shipper :)

Answer: 7 square units

Step-by-step explanation:

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