Graph the inequality on the axes below.
x – 2y > 16

Answer:

a. The price of an apple is $0.5 and that of a banana is $0.8

b. 4

Step-by-step explanation:

Form simultaneous equations from the information.

For 5 apples and 4 bananas, and the total comes to $ 5.70 this can be;

5 a + 4 b = $5.70----------i

After he puts back 1 apple and 2  bananas, the equation will be;

4 a + 2 b = $3.60 -------------ii

Solve the two equations simultaneously as;

{5 a + 4 b = 5.70 }4 ---------making the a terms equal to eliminate them

{4 a + 2 b = 3.60}5

20 a + 16 b = 22.80 -------subtract the b terms

20 a  + 10b = 18.00

6 b = 4.80

b= 4.80/ 6

b=$ 0.8

Using equation i :

5a + 4b =$5.70

5a + 4*0.8 = 5.70

5a + 3.2 = 5.70

5a = 2.5

a = 2.5 / 5

a=$0.5

The price of an apple is $0.5 and that of a banana is $0.8

b.  

Let the number of apples be ------x

Let the number of bananas be-----x

This is because the target is equal numbers;

Form an equation for total cost as;

0.5 x + 0.8 x = $6

1.3 x = 6

x = 1.3 / 6 = 4.62

Maximum number of bananas to buy = 4

Maximum number of apples to buy = 4

However, he will have $0.8 remaining

Answer: C. N30degrees E

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

edg 2023

Answer:

7103.98

Step-by-step explanation:

1) 3991 × 6% = 239.46 intrest rate of a year

2) 239.46 × 13 = 3112.98 intrest rate of 6% for 13yrs

3) 3991 + 3112.98 = 7103.98 Stephanie account balance after 13 yrs

Answer:

26

Step-by-step explanation:

6 times 4 =24 then 4/1 times 1/2 = 4/2 equals 2 and then you add 2 to 24 and that is 26.

Answer:

26

Step-by-step explanation:

If 1/4 of a cup of cranberries and make 1 batch, and there are four 1/4 cups in a whole cup, then 1 cup of cranberries can make 4 batches of scones.

By that same logic, there are two 1/4 cups in 1/2 a cup, so 1/2 cup of cranberries can make 2 batches of scones.

So, with the knowledge that 1 cup of cranberries makes 4 batches of scones, 6 cups of cranberries can make 6 x 4 = 24 batches, and adding on 1/2 cup gives us 2 more batches for a total of 24 + 2 = 26 batches.

Answer:

x=−4 or x=9

Step-by-step explanation:

1- As we know the formula for Area of rectangle = length x width

2- Multiply given width = (x+1) with length = (x-6)

3-Equation will be (x+1)(x-6) = 30

4- Solving x^2−5 x−6  = 30

5- x^2−5 x -36 = 0

6-Factor left side of equation.

(x+4)(x−9)=0

Set factors equal to 0.

x+4=0 or x−9=0

Answer:

length = 3 width = 10

Step-by-step explanation:

Answer:

The slope would be 1/4.

Step-by-step explanation:

To find the perpendicular slope first you have to set this equation to y

to do this you use the subtraction prop of equality and you will get 12x-9= -3y

then you divide by -3 on both sides to get y by itself

you will get -4x+3=y

now that you know the slope is -4, you must find the negative reciprocal slope of this which means you have to flip the numerator and denominator and make the sign its opposite.

The perpendicular slope would then be 1/4.

Answer:

interest is the additional sum of money

Answer:

see the photos

Step-by-step explanation:

I have given the answer

Answer:

0.2 tehe

Step-by-step explanation:

Answer:

33.5 km

Step-by-step explanation:

If 1cm = 5km, then you multiply 6.7 by 5 to get distance, which would be 33.5 km.

(hope this helps :P)

Answer:

33.5 km

Step-by-step explanation:

1/5 = 6.7/x

cross multiply and solve

5 × 6.7 = 33.5

Answer:

24 inches

Step-by-step explanation:

The television is  a rectangular screen, the diagonal represents the hypotenuse side while the length and height are the adjacent and opposite side in  no particular order hence we can use Pythagoras theorem to find the length.

Recall that the theorem states that

opposite side^2 + adjacent side^2 = hypotenuse side^2

let the length of the television screen be L

L^2 + 18^2 = 30^2

L^2 + 324 = 900

L^2 = 900 - 324

L^2 = 576

L = √576

= 24 inches

Answer:

The requited interval is:

Step-by-step explanation:

We have to write two intervals in our case:

The first interval must highlight all real numbers less than or equal to 0.

Therefore,

This interval starts at -∞ and ends at 0, which is written as: (-∞, 0]

The second interval must highlight all real numbers greater than or equal to 0.

Therefore,

This interval starts at 0 and ends at ∞, which is written as: [0, ∞)

But, we have to combine these two sets. We can achieve this by placing the union symbol 'U' between the two intervals.

Therefore, the requited interval is:

Answer:

1

Step-by-step explanation:

it's given that x=-4

so

y=¼×-4+2

y=-1+2

y=1

therefore

b=1

you can see similar question in my profile

Answer:

No.

Step-by-step explanation:

For starters, it says the representation of the grocery cost is x, but we have the equation y=1.1x. So, because 1x+0.1x=1.1x, we can infer that 0.1x is equal to our delivery cost, which we can call z.

Now we have two equations. y=x+z, and z=0.1x.

For this problem, we don't necessarily have to find the actual cost: just prove whether or not Arlyn is correct or incorrect by plugging in numbers for variables. So we can plug in our values of 119.90 (total value) and 108.90 (supposed grocery cost value) into our equations.

We now have 119.90=108.90+z, and z=0.1(108.90). First we can compute z=0.1(108.90). Since we know multiplying by 0.1 is the same as multiplying by 1/10, it's easy to get 108.90/10, which is 10.89. Now we can substitute 10.89 into our second equation for z, to get 119.90=108.90+10.89, where you get 119.90=119.79, which is not true. Therefore, Arlyn is incorrect, because $119.79 is not equal to $119.90.

Answer: 4.00

Step-by-step explanation:

Answer:

three multiplied by a number + 9

Step-by-step explanation:

Answer:

Perimeter of figure is 31.85 inches

Step-by-step explanation:

We have a rectangle and semi-circle in the figure.

First we will find perimeter of rectangle and semicircle and add them to find perimeter of rectangle.

First find perimeter of rectangle

The formula used is: [tex]Perimeter\: of\: rectangle=2(length+width)[/tex]

We have width = 7 in

length = 5 in

The perimeter is:

[tex]Perimeter\: of\: rectangle=2(length+width)\\Perimeter\: of\: rectangle=2(5+7)\\Perimeter\: of\: rectangle=2(12)\\Perimeter\: of\: rectangle=24\:in[/tex]

The perimeter of rectangle = 24 in

Now, finding perimeter of semi-circle

The formula used is: [tex]Perimeter\: of\: semi-circle=\frac{\pi d}{2}[/tex]

Wee have diameter d = 5 in

So, perimeter is:

[tex]Perimeter\: of\: semi-circle=\frac{\pi d}{2}\\Perimeter\: of\: semi-circle=\frac{3.14\times 5}{2}\\Perimeter\: of\: semi-circle=7.85\:in[/tex]

So, Perimeter of semi-circle= 7.85 in

Now, finding Perimeter of figure

Perimeter of figure = Perimeter of Rectangle + Perimeter of semi-circle

Perimeter of figure = 24 + 7.85

Perimeter of figure = 31.85 inches

So, Perimeter of figure is 31.85 inches

Answer:

The equation for this is: [tex]3(n+10) = 42[/tex]

Step-by-step explanation:

We have that the number though is n.

Adds 10:

This means that now we have: [tex]n + 10[/tex]

Multiplies by 3:

This means that now we have: [tex]3(n+10)[/tex]

Gets 42:

This means that: [tex]3(n+10) = 42[/tex]

Answer:

C. 25:4

Step-by-step explanation:

Total number of plants in Robert's garden = 8 + 4 + 16 + 22

= 50

Number of tomato plants in Robert's garden = 8

Ratio of total number of plants to the number of tomato plants = 50 : 8

Simplify

50 : 8 = 25:4

Answer: D. 25 ft

Step-by-step explanation:

When graphing a parabola in the format [tex]y = a(x-h)^2+k[/tex], know that:

You can try playing around with these values on a graphing calculator like Desmos!

In both cases, k would be the minimum or maximum value.

For this problem, k = 25. So, the maximum is 25 ft.

Additional information:

Answer:

x=1

Step-by-step explanation:

Factor out the common term 22.

4x+4(3-2x)=2\times \frac{2(2x+1)}{4}+5

4x+4(3−2x)=2×  

4

2(2x+1)

​   +5

2 Simplify  2\times \frac{2(2x+1)}{4}2×  

4

2(2x+1)

​   to  2x+12x+1.

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

Simplify  2x+1+5 to  2x+6.

4x+4(3-2x)=2x+6

Expand.

4x+12-8x=2x+6

Simplify  4x+12-8x  to  -4x+12.

-4x+12=2x+6

Add 4x to both sides.

12=2x+6+4x

Simplify  2x+6+4x  to  6x+6.

12=6x+6

Subtract 6 from both sides.

12-6=6x

Simplify 12−6  to  6.

6=6x

Divide both sides by 6

1=x

Switch sides.

x=1

Answer:

2^6 * 3

Step-by-step explanation:

Answer:

2^6x3

Step-by-step explanation:

its 2 to the power of 6. Then multiply it by 3

Answer:

Option 3

Step-by-step explanation:

The coordinates match it

Answer:

i am thinking it is 0 (if  i get it wrong i am sorry)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

the answer is 24.

Step-by-step explanation:

Given:

The point is located at P(4,7).

It is translated along [tex]\left<1,3\right>[/tex].

To find:

The image of the given point after the translation.

Solution:

The point is translated along [tex]\left<1,3\right>[/tex]. So, the rule of translation is defined by:

[tex](x,y)\to (x+1,y+3)[/tex]

The point is located at P(4,7).

Using the above rule, we get

[tex]P(4,7)\to P'(4+1,7+3)[/tex]

[tex]P(4,7)\to P'(5,10)[/tex]

The image of given point after the translation is (5,10).

Therefore, the correct option is A.