1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
horsena [70]
3 years ago
9

A roadside vegetable stand sells pumpkins for $5 each and squashes for $3 each. One day they sold 6 more squash than pumpkins an

d their sales totaled $98. Write and solve a system of equations to find how many pumpkins and squash they sold
Mathematics
1 answer:
monitta3 years ago
3 0
x-\ pumpkins\\
y-\ squashes\\\\
y=x+6\\
3y+5x=98\\\\3(x+6)+5x=98\\
3x+18+5x=98\\
8x+18=98\ \  | subtract\ 18\\
8x=80\ \ | divide\ by\ 8\\
x=10\\
y=10+6=16\\\\
They\ sold \ 10\ pumpkins\ and\ 16\ squashes.
You might be interested in
Rhombus EFGH is shown. What is the measure of ∠HGJ?
MaRussiya [10]

Answer:

∠HGJ = 35°

Step-by-step explanation:

Although the question is somewhat incomplete, I have tried to reconstruct the question as much as possible to aid understanding (attached is the pictorial representation of the rhombus).

Firstly, it is important to note that rhombuses are parallelograms which have all sides equal and whose diagonals are perpendicular to each other. In addition to this, their diagonals bisect one other.

Mathematically, |EF| = |FG| = |GH| = |HE|

Another property which rhombuses have is that their opposite angles are equal.

Mathematically, ∠E = ∠G, ∠H = ∠F

The adjacent angles in a rhombus are supplementary. This means that the sum of angles closest to each other is 180°.

Mathematically, ∠E + ∠F = 180°, ∠F + ∠G = 180°, ∠G + ∠H = 180°,

∠H + ∠E = 180°

The question gave us ∠GHE and asked us to find ∠HGJ (denoted as θ in the picture attached). Note that ∠GHE means ∠H. That is, ∠GHE ⇒ ∠H

∠GHE or ∠H = 110°

From the properties of rhombuses (earlier stated), we know that adjacent angles in a rhombus are supplementary

Mathematically,

∠GHE + ∠FGH ⇒ 110° + ∠FGH = 180° ⇒ ∠FGH = 180° - 110°

∠FGH or ∠G = 70°

To calculate for ∠HGJ, we divide ∠FGH by 2, we have:

∠HGJ = ∠FGH ÷ 2 = 70° ÷ 2

∠HGJ = 35°

3 0
3 years ago
Can anyone help me with dis
dolphi86 [110]

Answer:

Slope is 2.

Step-by-step explanation:

So to find slope, we need to take the change in the y value, and the change in the x value, and then divide them. This may be confusing, so here is just 3 formulas in 3 seperate steps that we use to find it:

Step 1 - x_2-x_1=change_.in_.x

Step 2 - y_2-y_1=Change_.in_.y

Step 3 - \frac{Change_. in_. y}{Change_.in_.x}=slope

So lets start by doing step one.

All we need is to look for two x values. Lets use 5 and 6:

6-5=1

So 1 is our change of x. This is our 1st step.

Next we can use 2 y values, note that these should be the 2 y values that go wiht the x values above. So this means we have to use -3 and -1:

-1-(-3) = 2

So 2 is our change in y. This is our 2nd step.

Now lets plug this into:

\frac{Change_. in_. y}{Change_.in_.x}=slope:

\frac{2}{1}  = 2

So our slope is 2. Completing our 3rd and final step.

Hope this helps!

7 0
2 years ago
Please help as soon as possible this is for my FINAL EXAM! , this is easy but I forgot how to do it. Thanks
marysya [2.9K]

I'm going to refer to the length of the pool as L.

2x + 2L = perimeter.

The width of pool multiplied by two added to the length of the pool multiplied by two equals to the perimeter.

7 0
2 years ago
Sines/ Cosines topic. In the triangle below round to the nearest tenth. Include explanation if possinle
vredina [299]

By the law of sines,

\dfrac{\sin90^\circ}{17}=\dfrac{\sin y^\circ}9

\implies\sin y^\circ=\dfrac9{17}

(since \sin90^\circ=1)

\implies y=\sin^{-1}\left(\dfrac9{17}\right)\approx32.0

4 0
3 years ago
Please help me do this
marin [14]
If you divide 35 (amount of detergent in the container )into 1.25 (the 1 1/4 cups) your answer would be that you can do 28 loads , and if you had 3 boxes you would be able to do 84 loads because you just need to multiply the previous answer by 3
3 0
2 years ago
Read 2 more answers
Other questions:
  • A number is multiplied by 5. If 5 is added to the product, you get 10. What is the number?
    12·2 answers
  • Which of the following rational functions is graphed below?
    9·1 answer
  • Solve 3c + 4 = -4c - 17<br> A. 3<br> B. -3<br> C. 21<br> D. -21
    11·1 answer
  • Evaluate the function for the indicated input
    8·1 answer
  • What is the range of f?
    9·1 answer
  • The figure below shows a quadrilateral ABCD with diagonal BD bisecting angle ADC:
    5·1 answer
  • I need to find out how many kilometers mikalea can run in 1 hour
    8·1 answer
  • Can someone give me the answer for this? __ (5 + 4) = 2 * 5 + 2 * 4
    8·2 answers
  • #1) Line j contains points (-3,5) and (6,-1). If line p is PERPENDICULAR to linej,
    9·1 answer
  • This question is for ktishler1 what is 1+1?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!