Casey paid a total of $24.00 for 4 shirts. If each shirt costs the same amount, what is the price of one

The sum of the first and third of three consecutive even integers is 164. Find the three even integers.

givi [52]

The three even integers are 80, 82, and 84.

The sum of the first (80) and the third (84) integers = 80 + 84 = 164, verifying our answer.

A simple way to figure this out is to divide 164 by 2, which gives you 82. From this answer, if we subtract 2 to get the first integer and add 2 to get the third integer while keeping 82 as the second integer, we end up with the correct sum of 164.

Hope this helps!

7 0

3 years ago

The same Honey is sold in two different size jars. Large jar= 540g for £4.10 Small jar= 360g for £2.81. By considering the amoun

Ray Of Light [21]

Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />

We will determine which has the best value for money using the quantity a pound can purchase.

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

£1.00 will purchase xg

cross multiplying to find x will have

$x=$ $\frac{1.00*540g}{4.10}$

$x= 131.7grams$

Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

£1.00 will purchase xg

cross multiplying to find x will have

$x=\frac{1.00*360g}{2.81}\\x= 128.1gram$

Hence for the small jar a penny would buy 128.1g of honey

4 0

3 years ago

The radius of the circle is increasing at a rate of 2 meters per minute and the sides of the square are increasing at a rate of

Lunna [17]

Answer:

Change in area=24 $\pi$ -48

Step-by-step explanation:

Let s will be the side of square and r will be the radius of circle.

Then two given conditions are

1)dr/dt=2 m/s

2)ds/dt=1 m/s

Area enclosed=(Area of square)-(Area of circle)

Area of square= $s^{2}$

Area of circle= $\pi r^{2}$

Area enclosed= $(\pi r^{2})-s^{2}$

dA/dt=2 $\pi$ r(dr/dt)-2s(ds/dt)

At s=24,and r=6

dA/dt=2( $\pi$ )(6)(2)-2(24)(1)

Change in area=24 $\pi$ -48

6 0

3 years ago

Which of the following is an equation of the circle with a center at (-1,4) and a radius of 2√5 units? plss pahelp naman

Ksivusya [100]

Answer:

Option A

Step-by-step explanation:

The standard form of an equation of a circle is represented by the formula $(x-h)^2+(y-k)^2 = r^2$ . Remember that $(h,k)$ is the center and $r^2$ is the radius squared.

So, the equation of the circle must be $(x+1)^2 +(y-4)^2 = 20$ . Complete the square to change the form of the equations listed in the options and find the one that is equal.

Let's try this with option A. Move the constants to the right side, then use the completing the square method to place the equation in standard form:

$x^2 + y^2 +2x -8y -3 = 0\\x^2 + y^2 +2x-8y = 3\\x^2 + 2x +y^2-8y = 3\\(x^2 +2x+1)+(y^2-8y +16)=3+1+16\\(x+1)^2 + (y-4)^2=20$

The end result matches with the equation determined before, so option A is the answer.

8 0

3 years ago

What is the degree of the monomial?<br> a. 6x2<br> b. −x3y3<br> c. 7x

sergiy2304 [10]

Answer:

a. 2

b. 6

c. 1

Step-by-step explanation:

The degree is the highest exponent on the variable in an expression

a. 2

b. 6

Both x and y have exponents of 3. To determine the degree, add the exponents together. 3+3=6

c. 1

When no exponent is present on the variable, it is always 1.

5 0

3 years ago