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4 years ago

7

dave and his sister picked out two pumpkins at the pumpkin patch. the pumpkins cost $0.47 per pound. davids pumpkin weighed 13.2

4 pouns and his sisters weighed 10.6 pounds. how much did they pay for both pumpkins

2 answers:

WINSTONCH [101]4 years ago

4 0

Dave has 50 cents right now

ad-work [718]4 years ago

3 0

Multiply each weight by 0.47. Daves pumpkin should cost $0.47 and his sister's pumpkin cost $4.98.

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What is the equation of the line that goes through (-5,0) and (-4,4)

Tasya [4]

Answer:

$y=4x+20$

Step-by-step explanation:

To write an equation, use the slope-intercept equation:

$y=mx+b$

M is the slope and b is the y-intercept.

First, find the slope by using the slope formula for when you have two points:

$\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis. Substitute values:

$(-5,0)(-4,4)\\(-5(x1),0(y1))\\(-4(x2),4(y2))\\\\\frac{4-0}{-4-(-5)}$

Simplify parentheses (two negatives make a positive) and simplify:

$\frac{4-0}{-4+5}\\\\\frac{4}{1}=4$

The slope, m, is 4. Insert this information into the equation:

$y=4x+b$

Now, take one of the points and insert into the slope-intercept formula:

$(-5,0)\\(-5(x),0(y))\\\\0=4(-5)+b$

Solve for b, the y-intercept. Simplify multiplication:

$0=-20+b$

Add 20 to both sides and simplify:

$0+20=-20+20+b\\20=b\\b=20$

The y-intercept, b, is 20. Insert this value into the equation:

$y=4x+20$

Done.

7 0

4 years ago

Please help me on question 6 please, please

fiasKO [112]

Answer:

7; 40

Step-by-step explanation:

No symbol for the term that you are solving for . I will use β

V = βwh Divide by (wh)

V/(wh) = β

β = V/(wh)

β = 735/(21 × 5) = 7

β = 3312/(11.5 ×7.2) = 40

6 0

3 years ago

Quadrilateral wxyz is a paralelogram if w=50<br> what is wzy

slega [8]

It means different digits.
W=50 would count as one of the digits.
Now you have to figure out what “XYZ” is.

8 0

2 years ago

Aarti posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she received on the p

kozerog [31]

Answer:

156 were there on the fourth day.

Step-by-step explanation:

125% of the number she received on the previous day

This means that the previous day number is multiplied the 125%/100% = 1.25.

64 responses the first day

This means that the number of responses after x days is given by:

$R(x) = 64(1.25)^x$

How many were there on the fourth day?

This is R(4). So

$R(4) = 64(1.25)^4 = 156$

156 were there on the fourth day.

4 0

3 years ago

The sum of two numbers is 10 and their product is 24. Find the<br>numbers.

irina [24]

Answer:

<h2>6 and 4</h2>

Step-by-step explanation:

$x,\ y-\text{the numbers}\\\\(1)\qquad x+y=10\\\\(2)\qquad xy=24\\\\==================\\\\(1)\qquad x+y=10\qquad\text{subtract}\ y\ \text{from both sides}\\(*)\qquad x=10-y\\\\\text{Substitute to (2):}\\\\(10-y)y=24\qquad\text{ue the distributive property:}\ a(b+c)=ab+ac\\10y-y^2=24\qquad\text{subtract 24 from both sides}\\-y^2+10y-24=0\qquad\text{change the signs}\\y^2-10y+24=0\\y^2-6y-4y+24=0\\y(y-6)-4(y-6)=0\\(y-6)(y-4)=0\iff y-6=0\ or\ y-4=0\\\\y-6=0\qquad\text{add 6 to both sides}\\y=6\\\\y-4=0\qquad\text{add 4 to both sides}\\y=4$

$\text{Put the values of}\ y\ \text{to (*)}:\\\\\text{for}\ y=6:\\x=10-6=4\\\\\text{for}\ y=4:\\x=10-4=6$

8 0

4 years ago