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solniwko [45]
3 years ago
13

Maddie biked 8 3/4 miles today, and Chase bikes 3 1/2 miles. How many times the length of Chase’s bike ride was Maddie’s bike ri

de?
Mathematics
1 answer:
borishaifa [10]3 years ago
8 0

Answer: 2.5 times

Step-by-step explanation:

Given : The length of Chase’s bike ride= 8\dfrac{3}{4}\ miles

The length of Maddie’s bike ride=3\dfrac{1}{2}\ miles

In improper fraction : Length of Chase’s bike ride=\dfrac{4(8)+3}{4}\ miles

=\dfrac{35}{4}\ miles

Similarly , Length of Maddie’s bike ride= \dfrac{7}{2}\ miles

The number of times the length of Chase’s bike ride was Maddie’s bike ride= \dfrac{\text{ Length of Chase’s bike ride}}{\text{ Length of Maddie’s bike ride}}

=\dfrac{\dfrac{35}{4}}{\dfrac{7}{2}}\\\\=\dfrac{5}{2}=2.5

Hence, the length of Chase’s bike ride was 2.5 times Maddie’s bike ride.

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X + (-3) = -7<br> X=<br> Answer here<br> I
tatiyna

Answer:

x=-4

Step-by-step explanation:

x-3=-7

x=-7+3

x=-4

3 0
3 years ago
Read 2 more answers
Jermaine, Keira, and Leon are buying supplies for an art class. Jermaine bought 2 canvases, 4 tubes of paint, and 2 paint brushe
maria [59]

Answer:

canvas $3

tube of paint $5

paint brush $4

Step-by-step explanation:

We need to choose variables for the prices of the different items, translate the sentences into equations, and solve a system of equations.

1. Define variables

Let c = price of 1 canvas, t = price of 1 tube of paint, and b = price of 1 brush.

2. Translate sentences into equations

"Jermaine bought 2 canvases, 4 tubes of paint, and 2 paint brushes for $34."

2c + 4t + 2b = 34

"Keira spent $22 on 1 canvas, 3 tubes of paint, and 1 paint brush."

c + 3t + b = 22

"Leon already has plenty of paint, so he bought 3 canvases and 2 paint brushes for $17."

3c + 2b = 17

The system of equations is

2c + 4t + 2b = 34       Eq. 1

c + 3t + b = 22           Eq. 2

3c + 2b = 17               Eq. 3

Since the third equation has only the variables c and b, we use the first equations to eliminate variable t and give us an equation in only c and b.

3 * Eq. 1 - 4 * Eq. 2

2c + 2b = 14

c + b = 7            Eq. 4

Eq. 3 and Eq. 4 form a system of equations in two variables.

3c + 2b = 17      Eq. 3

c + b = 7          Eq. 4

Solve Eq. 4 for b.

b = 7 - c        Eq. 5

Substitute into Eq. 3.

3c + 2(7 - c) = 17

3c + 14 - 2c = 17

c = 3

Plug in c = 3 into Eq. 5.

b = 7 - 3

b = 4

Plug in c = 3 and b = 3 into Eq. 2.

c + 3t + b = 22           Eq. 2

3 + 3t + 4 = 22

3t + 7 = 22

3t = 15

t = 5

Answer:

canvas $3

tube of paint $5

paint brush $4

7 0
3 years ago
JWISOSOOS someone help me n show me how to do it 2. Thanks goodnight:&gt;&gt;
posledela

Answer:

2/3(3x+9)=-2(2x+6)

2/3(3x+2x)=-2(9+6)

2/3×5x=-2+15

10x/3=13

3x=13

x=13-3

x=10

4 0
3 years ago
BRAINLIEST ANSWERS ONLY.
mars1129 [50]

Answer:

Heyy

Step-by-step explanation:

△ABC is a right angled triangle and right angle at B

sinA=

AC

BC

, cosA=

AC

AB

⟹sinA+cosA=

AC

BC

+

AC

AB

=

AC

BC+AB

[We know that sum of two sides of a triangle is greater than the third side]

⟹sinA+cosA>

AC

AC

=1

Hence, sinA+cosA>1

4 0
2 years ago
What is the equation of the axis of symmetry for this function? H(x) = -X2 + 10x - 11 x = -5 0 x= -10 x = 5 x = 10
siniylev [52]

Given:

The equation of a quadratic function is:

H(x)=-x^2+10x-11

To find:

The equation of the axis of symmetry for the given function.

Solution:

If a quadratic function is f(x)=ax^2+bx+c, then the equation of the axis of symmetry is:

x=-\dfrac{b}{2a}        ...(i)

We have,

H(x)=-x^2+10x-11

Here, a=-1,b=10,c=-11. So, the equation of axis of symmetry by using (i), is

x=-\dfrac{10}{2(-1)}

x=-\dfrac{10}{-2}

x=5

Therefore, the correct option is C.

8 0
3 years ago
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