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shusha [124]
3 years ago
13

Dolev shared his pretzels equally among 5 friends. If each friend received 7 pretzels, how many pretzels did Dolev have? Select

all that apply.
p/5 = 7

A. Divide by 5 on both sides of the equation.
B. Multiply by 5 on both sides of the equation.
C. 7 × 5 = 35.
D. 7 ÷ 5 = 1.4.
E. Dolev had 35 pretzels.

Please explain :)
Mathematics
3 answers:
Arada [10]3 years ago
7 0

Answer:c,e

Step-by-step explanation: if you divide 35 by 5 you get 7 and thats how many pretzels he gave to his friend so since multiplication is th inverse operation of division you can use multiplaction to check your answer in any division problem;) which makes 5*7=3

gtnhenbr [62]3 years ago
6 0

Answer:

B. Multiply by 5 on both sides of the equation. C. 7 × 5 = 35. E. Dolev had 35 pretzels.

Step-by-step explanation:

B. get p by itself

C. if each received 7 and there was 5 people, 5 times 7 would be the total of pretzels

E. 5 times 7 equals 35.

Naetoosmart2 years ago
0 0

B,C,E are the answers

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ad-work [718]
Equation B is written in vertex form, which means you can read the vertex (extreme value) from the numbers in the equation.

Vertex form is
   y = a(x -h)² + k
where the vertex (extreme point) is (h, k). Whether that is a maximum or a minimum depends on the sign of "a". When "a" is negative, the graph is a parabola that opens downward, so the vertex is a maximum.


Equation B reveals its extreme value without needing to be altered.
The extreme value of this equation is a maximum at the point (2, 5).

3 0
3 years ago
The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.
MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle =3\times\ side

3\times\ side =[tex]81\sqrt{3}

Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm

Thus from the diagram , Side AB=BC=AC= 27\sqrt{3} \ cm

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus \angle OBC = 30°

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2}  } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\

Thus ,apothem  OE= 13.5 cm

Now for radius,

We consider ΔOBE

cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB}  \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0
3 years ago
Can someone please help me with this?
dsp73

Answer:

S_{13} = 403

Step-by-step explanation:

the sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} (a + l) ← a is the first term and l the last term

here a = - 5 and l = 67 , then

S_{13} = \frac{13}{2} (- 5 + 67) = 6.5 × 62 = 403

3 0
2 years ago
An ice cream shop sold 12,789 chocolate and 9,324 cookie dough cones. They sold 1,078 more peanut butter cones than cookie dough
juin [17]
12,789 chocolate
9,324 Cookie Dough
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46,303 in total

3 0
3 years ago
System of equations<br><br>y=1/2x +5<br>y=3x -5​
Art [367]

Answer: 4

Step-by-step explanation:

Set them equal to each other since they're both equal to y

3x-5=.5x +5

add 5 to both sides

3x=.5x+10

subtract .5x from both sides

2.5x=10

divide both sides by 2.5

x= 4

5 0
3 years ago
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