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3 years ago

12

translate the sentence into an equation and solve it. If 4 times a number is decreased by 5,the result is 19.find the number. th

e equation is ? the number is ?

2 answers:

zalisa [80]3 years ago

6 0

4x-5=19, where x is the missing number
4x=19+5
4x=24
4x/4=24/4
x=6

eduard3 years ago

4 0

4x-5=19
+5 +5
4x=24
x=6

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Can someone help me with this ?

romanna [79]

Answer:

$\large\boxed{S.A.=467\ in^2}$

Step-by-step explanation:

We have two triangles and three rectangles.

The formula of an area of a triangle:

$A_{triangle}=\dfrac{bh}{2}$

b - base

h - height

The formula of an area of a rectangle:

$A_{rectangle}=lw$

l - length

w - width

TRIANGLE:

b = 11 in, h = 7 in

$A_1=\dfrac{(11)(7)}{2}=\dfrac{77}{2}=37.5\ in^2$

RECTANGLE 1:

l = 11 in, w = 14 in

$A_2=(11)(14)=154\ in^2$

RECTANGLE 2:

l = 9 in, w = 14 in

$A_3=(9)(14)=126\ in^2$

RECTANGLE 3:

l = 8 in, w = 14 in

$A_4=(8)(14)=112\ in^2$

The Surface Area:

$S.A.=2A_1+A_2+A_3+A_4$

Substitute:

$S.A.=2(37.5)+154+126+112=467\ in^2$

6 0

3 years ago

A sports club needs to raise at least $500 by selling chocolate bars for $2.50 each. Sebastian wants to know how many chocolate

mario62 [17]

Answer:

The inequality should be written as $2.50 times c is greater than or equal to c.

Step-by-step explanation:

First, identify what you know:

1) Each chocolate bar is $2.50

2) Sebastian needs to raise at least $500

So, Sebastian needs to sell at least enough chocolate bars to hit $500. The inequality cannot be written as less than or equal to, because he can't sell less than the number of chocolate bars needed to make $500.

Automatically, I can calculate the minimum number of bars he'll need to sell.

500/2.50 = 200 chocolate bars minimum

c must equal greater than or equal to $500, for Sebastian to raise enough money! So, basically Sebastian has to sell 200 bars OR more.

Hope this helps! :)

4 0

3 years ago

Read 2 more answers

$800 is invested at a rate of 7%. What will be the total amount of the investment after 3 1/2 years?

torisob [31]

Answer:

A = $996.00

Step-by-step explanation:

(I = A - P = $196.00)

Equation:

A = P(1 + rt)

Where:

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

r = Rate of Interest per year in decimal; r = R/100

R = Rate of Interest per year as a percent; R = r * 100

t = Time Period involved in months or years

From the base formula, A = P(1 + rt) derived from A = P + I and I = Prt so A = P + I = P + Prt = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 800(1 + (0.07 × 3.5)) = 996

A = $996.00

The total amount accrued, principal plus interest, from simple interest on a principal of $800.00 at a rate of 7% per year for 3.5 years is $996.00.

4 0

3 years ago

Find the area under the curve y = 13/x3 from x = 1 to x = t. Evaluate the area under the curve for t = 10, t = 100, and t = 1000

zvonat [6]

Answer:

t = 10

$A = 32496.75$

t = 100

$A = 324999996.8$

t = 1000

$A=3.25\times 10^{12}$

Step-by-step explanation:

The area under the curve is calculated by using the following definite integral:

$A = \int\limits^t_ {1} \,{13\cdot x^{3}} dx$

$A = 13 \int\limits^t_1 {x^{3}} \, dx$

$A = \frac{13}{4}\cdot (t^{4}-1)$

Evaluated areas are presented below:

t = 10

$A = 32496.75$

t = 100

$A = 324999996.8$

t = 1000

$A=3.25\times 10^{12}$

8 0

4 years ago

The volume of the following cone hat is 150.72 cm^3. Find the

Orlov [11]

Answer:

≈ 14.6

I'm assuming that says use 3.14 as radius, because it's cut off

7 0

3 years ago