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ruslelena [56]
3 years ago
8

Rachel Newton scored 26 points in a recent basketball game without making any 3-point shots. She scored 19 times, making several

free throws worth 1 point each and several field goals worth two points each. How many 2-point field goals did she make?
Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

She made 7  field goals

Step-by-step explanation:

With the data we can make 2 equations

1 x + 2 y= 26

x+y=19  and y=19-x

Where,

x= free throws

y=field goals

Replacing y in the first equation

1 x + 2 (19-x)= 26

1 x + 38-2x= 26

1 x - 2x= 26 - 38

- 1x= -12

x=12

y=19-12

y=7

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Solve -17 + n/5 = 33.
vova2212 [387]
-17 + n/5 = 33

First, we can start out by regrouping our terms. This will switch our fraction and number around and also make the original addition to subtraction.
\frac{n}{5} - 17 = 33

Second, we can start out our goal by trying to get the variable (n) on one side by itself and to equal something. Let's begin by adding 17 to each side of the problem.
\frac{n}{5} = 33 + 17

Third, we can now add the numbers on the right side of our problem. Simple. Add 33 + 17 to get 50.
\frac{n}{5} = 50

Fourth, we now have to multiply both sides by 5. Why? We are getting rid of the fraction so that the variable can become by itself.
n = 50 \times 5

Fifth, our last step is to multiply 50 × 5. Use a calculator, long multiplication, etc. 50 × 5 = 250. 
n = 250

Answer: \fbox {n = 250}
4 0
3 years ago
Read 2 more answers
Pls answer. will mark as branliest
Ulleksa [173]

Answer:

80°

Step-by-step explanation:

Angle CBD = 100°

Angle ABC = 180° - 100° = 80°

Angles on a straight line add up to 180°.

Angle ABC and angle EFB are corresponding angles, so they are equal.

= 80°

4 0
3 years ago
Read 2 more answers
Fred bought 24.37 pounds of potatoes and 3.53 pounds of carrots. How many pounds of vegetables did he buy in all?
notsponge [240]

answer: 27.9 pounds

work: the question is asking how many pounds he bought total, so add the potato and the carrots, and you have your answer. 24.37 + 3.53 = 27.9

4 0
3 years ago
Given: Quadrilateral DEFG is a parallelogram.
levacccp [35]

Answer:

The correct option is A.

Step-by-step explanation:

It is given that  DEFG is a parallelogram.

Draw the diagonals DF and EG. Place point H where DF and EG intersect.

In triangle HGD and HEF

,

∠HGD ≅ ∠HEF                            (Alternate Interior angle)

∠HDG ≅ ∠HFE                      (Alternate Interior angle)

By the definition of a parallelogram, the opposite sides of a parallelogram are congruent.

DG ≅ EF                                      (Opposite sides of parallelogram)

According to ASA postulate, two triangles are congruent if any two angles and their included side are equal in both triangles.

So, by using ASA criterion for congruence we get,

ΔDGH ≅ ΔFEH

Since corresponding sides of congruent triangles are congruent, therefore

GH ≅ EH                      (CPCTC)

DH ≅ FH                     (CPCTC)

Option A is correct.

8 0
4 years ago
What is the algebraic expression for the following word phrase: the product 4 more than x and 6?
Dmitry [639]

Answer: b. 6(x + 4)


Step-by-step explanation:

The given word phrase = the product 4 more than x and 6

where , 4 more than x is equivalent to x+4

Therefore the algebraic expression for the given word phase "the product 4 more than x and 6"

=6\times(x+4)

\\=6(x+4)

Hence b. is the right option.

The algebraic expression for the given word phase is \\6(x+4)

3 0
3 years ago
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