Select all ratios equivalent to 10:5 4:2

Solve for x: x + 3 = 8

artcher [175]

How generous
x+3=8
minus 3 both sides
x+3-3=8-3
x+0=5
x=5

5 0

3 years ago

Round to the nearest whole number. 6.4

adoni [48]

Answer:

7

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find the measure of angle KMU

luda_lava [24]

Answer:

140°

Step-by-step explanation:

The other angle inside is 40 so 180-40 is 140°

5 0

3 years ago

Read 2 more answers

By what percent will the product of two numbers change, if the first number increases by 70%, while the second number decreases

erica [24]

Answer:

The product of two numbers changes by 2% when the first number increases by 70%, while the second number decreases by 40%.

Step-by-step explanation:

Let first number be x and second number be y .

Then product of x and y = xy ......(1)

Given the first number increases by 70%, while the second number decreases by 40% this means,

x is increased by 70% that is

increased value of x = x + 0.7(x) = 1.7 x

Similarly y is decreases by 40% that is

decreased value of y = y - 0.4(y) = 0.6y

New product will be = (increased value of x )( decreased value of y)

= (1.7x)(0.6y)

=1.02xy

Changed Percentage = $\dfrac{\text{new value - original value}}{{\text{original value}}}\times 100$

Substitute the values, we get,

Changed Percentage = $\frac{1.02xy-xy}{xy}\times 100$

Changed Percentage = $\frac{0.02xy}{xy}\times 100$

Changed Percentage = $0.02\times 100$

Changed Percentage = $2\%$

Thus, the product of two numbers changes by 2% when the first number increases by 70%, while the second number decreases by 40%.

5 0

4 years ago

Suppose Wal-Mart stock is selling at $59 a share and Mattel stock is selling at $28 a share. Amy has a maximum of $6000 to inves

Ulleksa [173]

Answer:

88 shares of Wall-Mart stock,

a) Step-by-step explanation, 22 shares of Mattel stock. b) $192

Given:

Suppose Wall-Mart stock is selling at $59 a share and Mattel stock is selling at $28 a share.

Amy has a maximum of $6000 to invest.

She wishes to purchase four times as many shares of Wall-Mart as of Mattel.

Only whole shares of stock can be purchased.

Question asked:

a) How many shares of each will she purchase?

b) How much money will be left over?

Solution:

Selling price of each share of Wall-Mart stock = $59

Selling price of each share of Mattel stock = $28

Let number of shares of Mattel stock purchased = $x$

Then, number of shares of Wall-Mart stock = $4x$

Total money invested =$6000

Shares of Mattel stock $\times$ $28 + Shares of Wall-Mart stock $\times$ $59 = $6000

$28\times x+59\times4x=6000\\28x+236x=6000\\264x=6000$

Dividing both sides by 264

$x=22\frac{192}{264}$

That means, total 22 shares of Mattel stock is purchased and 192 is the money left over:-

Number of shares of Wall-Mart stock = $4x$ = $4\times22=88$

Total amount spent on Mattel stock shares = 22 $\times$ $28 = $616

Total amount spent on Wall-mart stock shares = 88 $\times$ $59 = $5192

Total amount spent on both shares = $616 + $5192 = $5808

Money left over = $6000 - $5808 = $192

a) He will purchase 88 shares of Wall-Mart stock and 22 shares of Mattel stock.

b) Money left over is $192.

6 0

4 years ago