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2 years ago

Which statement is true?

1 answer:

6 0

In geometry, a parallelogram is defined as a simple quadrilateral with two pairs of parallel sides, with opposite sides are of equal length and the opposite angles of equal measure. From these descriptions alone, one statement is true-- <span>All squares are parallelograms because they have 2 pairs of parallel sides.</span>

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You are making fruit baskets using 54 apples, 36 oranges, and 73 bananas. a. Explain why you cannot make identical fruit baskets

GrogVix [38]

Question 1:
73 is a prime number. It can only be divided by 1 and by itself.

The GCF of the three numbers:
54 36 73
1×54 1×36 1×73
2×27 2×18
3×18 3×12
6×9 4×9
6×6

GCF of 54, 36 and 73 is 1

GCF of 54 and 36 is 18

If we divide 54 apples into 18 baskets, we have 3 apples in each basket
If we divide 36 oranges into 18 baskets, we have 2 oranges in each basket
If we divide 73 bananas into 18 baskets, we have 4 bananas in each basket + one banana left over.

So the greatest number of identical fruit baskets we can make with the least amount of fruit left over is 18 baskets

6 0

2 years ago

The school marching band has a budget of up to $750 to cover 15 new uniforms and

PolarNik [594]

a. The inequality 15x+300≤750 represents the situation.

b. It means that the band can spend at most $30 on each uniform without exceeding the budget.

Step-by-step explanation:

Given,

Budget = $750

Competition fee = $300

Uniforms to make = 15

Let,

x be the amount for each uniform.

a. Write an inequality to represent this situation.

Uniforms to make * Cost per uniform + Competition ≤ Budget

15x+300 ≤ 750

The inequality 15x+300≤750 represents the situation.

b. Solve the inequality and describe what it means in the situation.

$15x+300\leq 750\\15x+300-300\leq 750-300\\15x\leq 450$

Dividing both sides by 15

$\frac{15x}{15}\leq \frac{450}{15}\\x\leq 30$

It means that the band can spend at most $30 on each uniform without exceeding the budget.

Keywords: inequality, division

Learn more about inequality at:

#LearnwithBrainly

3 0

2 years ago

Uriah has twice as much money as Cassius. Together they have $105. How much does Uriah have?

Mkey [24]

Uriah has 70 dollars and cassius has 35

7 0

2 years ago

Read 2 more answers

Unit 5. 17) Please help. Which solids could have a cross section in the shape shown above?

e-lub [12.9K]

Answer:

I think the correct answers are options 2 and 4.

8 0

2 years ago

The line through (4,-1) and (k,5) is parallel to the line y=-3x+5. FInd the value of k.

Tema [17]

Answer:

k = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 5 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus the 2 points have a slope of - 3

calculate the slope using the slope formula and equate to - 3

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)

m = $\frac{5+1}{k-4}$ = $\frac{6}{k-4}$ = - 3 ( multiply both sides by (k - 4) )

- 3(k - 4) = 6 ( divide both sides by - 3 )

k - 4 = - 2 ( add 4 to both sides )

k = 2

3 0

2 years ago