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3 years ago

Please help solve -2x - 4 - 7 = - 3x - 15

Mathematics

1 answer:

valentina_108 [34]3 years ago

8 0

Answer:

x = -4

Step-by-step explanation:

-2x-11=-3x-15

x - 11 = -15

x = -4

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a painting including the frame measures 71 cm by 75 cm How many centimeters of framing were needed to frame the painting?

Step2247 [10]

It depends on what is the width of framing and do we want to place it on painting or not but basically it is the circuit

Circuit = 2*71cm + 2*75cm=2*(71cm+75cm)=2*146cm=292cm

Answer:. U need 292cm of framing (at least).

8 0

3 years ago

Ava takes 5/6 minutes to run 1 lap around the track. If Ava runs around the track for 1/4 hr. How many laps will Ava run

lianna [129]

12 1/2 laps
Method:
This is a problem in which you are multiplying fractions.
Multiply 5/6 by 15

3 0

3 years ago

The equation h(t) = -16t² + 80t + 64 represented the height, in feet, of a potato t seconds after it has been launched.

Lyrx [107]

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

we have

$h(t)=-16t^2+80t+64$

where

h(t) is the height of a potato in feet

t is the time in seconds

Part A) Write an equation that can be solved to find when the potato hits the ground. Then solve the equation

we know that

When the potato hit the ground, the value of h(t) must be equal to zero

For h(t)=0

$-16t^2+80t+64=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+80t+64=0$

$a=-16\\b=80\\c=64$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(64)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{10,496}} {-32}$

$t=\frac{-80+\sqrt{10,496}} {-32}=-0.70$

$t=\frac{-80-\sqrt{10,496}} {-32}=5.70$

therefore

The potato hit the ground at t=5.70 seconds

Part B) Write an equation that can be solved to find when the potato is 40 feet off the ground. Then solve the equation

For h(t)=40 ft

substitute in the quadratic equation

$-16t^2+80t+64=40$

$-16t^2+80t+24=0$

Solve the quadratic equation

we have

$a=-16\\b=80\\c=24$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(24)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{7,936}} {-32}$

$t=\frac{-80+\sqrt{7,936}} {-32}=-0.28$

$t=\frac{-80-\sqrt{7,936}} {-32}=5.28$

therefore

The potato is 40 feet off the ground at the time t=5.28 seconds

3 0

3 years ago

Can someone please help me please?? Thank you!!

Softa [21]

5.025. 6.7 ÷ 4 = 1.675 × 3 = 5.025.

3 0

4 years ago

Jonathan and Pedro are collecting clothes for a clothing drive. Pedro collected 1/2 as many

baherus [9]

Answer:

Step-by-step explanation:

4/2=2

7 0

3 years ago