The sum of two numbers is 38 and the difference is 16. Find each of the numbers.

Answer:

  ... divisible by 4

Step-by-step explanation:

Since 100 is divisible by 4, but 10 is not, any multiple of 100 will be divisible by 4. So to check for divisibility by 4, we need to look at the last two digits.

If the last two digits are divisible by 4, the number will be divisible by 4.

_____

A number divisible by 4 will look like one of ...

  {odd}{2, 6}

  {even}{0, 4, 8}

(3 + -8 / 2,7 + -10 / 2)

(-5/2,-3/2)

Hope this helps! ;)

Answer:

5 shirts for $21

Step-by-step explanation:

25.50÷6= 4.25

18.00÷4= 4.50

21.00÷5= 4.20

Answer:

Yes, it is a rectangle

Step-by-step explanation:

12 ^2 +35^2 =37^2

Answer:

3/4 book per month

Step-by-step explanation:

12/16=3/4

Ashley's reading rate is calculated by dividing the total number of books she read (12 books) by the number of months it took her to read them (16 months), which gives 0.75 book per month.

The question is about determining Ashley's rate of reading in terms of books per month. The rate is determined by dividing the total number of books she has read by the total number of months. In this case, Ashley has read 12 books in 16 months.

To find Ashley's reading rate, you would divide the total number of books she has read (12 books) by the number of months it took her to read them (16 months), that is 12 books ÷ 16 months = 0.75 book per month.

So Ashley's reading rate is 0.75 book per month.

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Volume of piece candy is 113.04 cubic centimeter

Solution:

A student bought a piece of hard candy that is in the shape of a sphere

The candy has a radius of 3 centimeters

Radius = 3 cm

Use 3.14 for π

Volume of sphere is given as:

[tex]V = \frac{4}{3} \times \pi \times r^3[/tex]

Where, "r" is the radius of sphere

Therefore, volume of candy is given as:

[tex]V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04[/tex]

Thus volume of candy is 113.04 cubic centimeter

Answer:

1344cm^2

Step-by-step explanation:

Semi perimeter:

S = (a+b+c)/2

S=(56+60+52)/2

S=168/2

S=84

Area:

A=root S(S-56)(S-60)(S-52)

A=root 84(84-56)(84-60)(84-52)

A=root 84(28*24*32)

A=root 84(21504)

A=root1806336

A=1344cm^2

Answer:

Step-by-step explanation:

[tex]s=\frac{a+b+c}{2}=\frac{56+60+52}{2}=\frac{168}{2}=84 cm\\\\s-a=84-56=28 cm\\s-b=84-60=24 cm\\\\s-c=84-52=32 cm\\\\Area=\sqrt{s*(s-a)(s-b)(s-c)} \\\\=\sqrt{84*28*24*32}=\sqrt{7*12*7*4*12*2*4*2*2*2}\\\\=7*12*4*2*2=1344 sq.cm[/tex]

Answer: i think 4x4/8

Step-by-step explanation:

Answer:first one

Step-by-step explanation:4 2/8

Just watched like 3 vids on multiplying unit fractions by whole numbers

Answer:

5.291502622129 (feel free to round if needed)

the geometric mean of 2 and 14 is 2√7.

A geometric progression sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given two  numbers whose geometric mean needed to calculate

From the formula of Geometric mean

GM = [tex]\sqrt[n]{x_{1} x_{2} x_{3} ....x_{n} }[/tex]

Where GM = geometric mean

n = number of values

Xi = values to average

Thus,

GM = √(2 *14)

GM = 2√7

therefore,  the geometric mean of 2 and 14 is 2√7.

Learn more about Geometric progression here:

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Answer:

7/12

Step-by-step explanation:

1 is equivalent to 4/4.

3/4 + 4/4 = 7/4.

After converting 1 and 3 quarters to a mixed number, multiply the top two numbers and bottom two numbers.

7 * 1 in the numerator and 3 * 4 in the denominator gets you 7/12.

Answer:

Step-by-step explanation:

[tex]1\frac{3}{4}*1\frac{1}{3}=\frac{7}{4}*\frac{4}{3}\\\\=\frac{7}{3}=2\frac{1}{3}[/tex]

Answer:

Step-by-step explanation:

Amount the teacher as $400

A calculator cost $70

The no. Of calculator he teacher can get is = 400/70 = 5.71

The teacher can get 5 calculator

Answer:

Given that AC ≅ BC, the sides are of equal measures.

CD is a side in both ΔACD and ΔBCD, so the side is equal in both triangles.

Given that CD if the bisector of ∠ACB, the two angles produced are equal: ∠ACD ≅ ∠BCD.

∠ACB is contained between AC and CD in ΔACD. ∠ACB is contained between BC and CD in ΔBCD.

Therefore by the SAS postulate, ΔACD ≅ ΔBCD.

Step-by-step explanation:

The SAS postulate says that if two triangles have a contained angle between two sides that are known to be equal in the other triangle, then the triangles are congruent.

Prove that two sides are equal, then prove that an angle that is between those two sides is also equal.

The volume of sphere is [tex]\frac{500}{3}\pi[/tex] inches cubed.

Step-by-step explanation:

Given,

Diameter of sphere = 10 inches

Radius of sphere = [tex]\frac{Diameter}{2}=\frac{10}{2}[/tex]

Radius of sphere = 5 inches

Volume of sphere = [tex]\frac{4}{3}\pi r^3[/tex]

V = [tex]\frac{4}{3}\pi (5)^3[/tex]

[tex]V = \frac{4}{3}\pi * 125\\\\V = \frac{500}{3}\pi[/tex]

The volume of sphere is [tex]\frac{500}{3}\pi[/tex] inches cubed.

Keywords: volume, division

Learn more about division at:

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Answer:

500/3 pi

Step-by-step explanation:

i took le quiz  :)

Answer:

2x + 5y = - 15

Step-by-step explanation:

The line that passes through (–5, –1) and (10, –7) points and the point-slope form of the equation is [tex]y + 7 = - \frac{2}{5}(x - 10)[/tex].

Now, we have to arrange this in the standard form.

So, [tex]y + 7 = - \frac{2}{5}(x - 10)[/tex]

⇒ 5(y + 7) = - 2(x - 10)

⇒ 5y + 35 = - 2x + 20

⇒ 2x + 5y = - 15 (Answer)

39 miles ------------------------------------------------

Answer:

Step-by-step explanation:

48.75

Step-by-step explanation:

[tex]C(x)=4x^2-3\\\\C(0),\ C(-1),\ C(-2),\ C\left(-\dfrac{3}{2}\right)\\\\\text{Substitute each value}\ \left\{0, -1, -2, -\frac{3}{2}\right\}\ \text{instead}\ C(x):\\\\C(0)=4(0^2)-3=4(0)-3=0-3=-3\\\\C(-1)=4(-1)^2-3=4(1)-3=4-3=1\\\\C(-2)=4(-2)^2-3=4(4)-3=16-3=13\\\\C\left(-\dfrac{3}{2}\right)=4\left(-\dfrac{3}{2}\right)^2-3=4\left(\dfrac{9}{4}\right)-3=9-3=6[/tex]

Answer:

The addition of given fractions is [tex]\frac{11}{12}[/tex]

Therefore [tex]\frac{1}{4}+\frac{2}{3}=\frac{11}{12}[/tex]

Step-by-step explanation:

Given fractional expression is [tex]\frac{1}{4}+\frac{2}{3}[/tex]

To find the addition of given fractions :

Adding the given fractions we get

[tex]\frac{1}{4}+\frac{2}{3}[/tex]

[tex]=\frac{1(3)+2(4)}{12}[/tex] ( here taking 12 as LCM )

[tex]=\frac{3+8}{12}[/tex]

[tex]=\frac{11}{12}[/tex]

Therefore [tex]\frac{1}{4}+\frac{2}{3}=\frac{11}{12}[/tex]

The addition of given fractions is [tex]\frac{11}{12}[/tex]

Answer:

Step-by-step explanation:

6x + 7zy = 15

7zy = 15-6x

y = (15-6x)/7z

Answer:

(-1,5)

Step-by-step explanation:

Let the coordinates of point A be (a,b).

We have that B is at (-5,1)

Assuming M(-3,3) is the midpoint of the segment AB, then

[tex](-3, 3 )= ( \frac{a + - 5}{2}, \frac{b + 1}{2} )[/tex]

This means that:

[tex]- 3 = \frac{a + - 5}{2}[/tex]

and

[tex]3 =\frac{b + 1}{2}[/tex]

This implies that 2*-3=a-5 and 3*2=b+1

-6=a-5 and 6=b+1.

a=5-6 and b=6-1

a=-1 and b=5.

Therefore the coordinates of A are:

(-1,5)

Answer:

17

Step-by-step explanation:

Given:

The given expression is.

[tex]3x+2[/tex]

We need to solve the given expression for [tex]x = 5[/tex].

Solution:

Rewrite the expression as.

[tex]f(x)=3x+2[/tex]

Substitute x = 5 in above expression.

[tex]f(5)=3(5)+2[/tex]

[tex]f(5)=3\times 5 + 2[/tex]

Now we multiply 5 with 3.

[tex]f(5)=15+2[/tex]

Now we add right side terms.

[tex]f(5)=17[/tex]

Therefore, The correct value of given expression is [tex]3x+2=17[/tex] for [tex]x=5[/tex].

Answer:4b +1b + 3 =5b + 3

Step-by-step explanation:add 1b to 4b will give you 5b plus the 3

Answer:

4b+1b+3=5b+3

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

Answer:

To do this you want to plug 3 in for d, so your equation will look like this

7(3)^2+10

In the order of PEMDAS you want to do exponents first, because there is no parentheses.

7*9+10 (3^2=9), next you want to multiply

63+10, lastly you want to add

63+10=73

73

Hope this helps ;)

Answer:

The answer is: letter A, Peacefulness

Explanation:

Mary Shelley is the author of the book entitled, "Frankenstein." The story of the book centers on "Victor Frankenstein," a scientist and his monster creation.  This creation of his, later on, asked for a female companion by threatening him. Victor, reluctantly, agreed on this under the monitoring of the creature. In the end of the story, Victor and his men in the ship were trapped in ice.

While Victor was on his journey to Geneva after his brother (William Frankenstein) died, he spoke in the passage above, "I contemplated the lake; the waters were placed; all around was calm, and the snowy mountains, 'the palaces of nature,' were not changed." This made him think how much nature brings peace to his soul that even after turmoil, he felt comforted by nature. Although he dreads to go back, the thought of the calm nature made him continue his journey.

Thus, this explains the answer, "Peacefulness."

Answer:

The simplified expression to the given expression is

[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]

Step-by-step explanation:

Given expression is [tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}[/tex]

To simpify the given expression :

[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}[/tex]

[tex]=\frac{9x^4y^{-7}z}{2x^9y^4z^{-5}}[/tex]

[tex]=\frac{9x^4y^{-7}zx^{-9}y^{-4}z^5}{2}[/tex] ( using the property [tex]a^{-m}=\frac{1}{a^m}[/tex] )

[tex]=\frac{9x^4.x^{-9}y^{-7}y^{-4}z.z^5}{2}[/tex]

[tex]=\frac{9x^{4-9}y^{-7-4}z^{1+5}}{2}[/tex] ( using the property [tex]a^m.a^n=a^{m+n}[/tex] )

[tex]=\frac{9x^{-5}y^{-11}z^{6}}{2}[/tex] ( using the property [tex]a^{-m}=\frac{1}{a^m}[/tex] )

[tex]=\frac{9z^6}{2x^5y^{11}}[/tex]

Therefore [tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]

Therefore the simplified expression to the given expression is

[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]

Answer: First option.

Step-by-step explanation:

Below are some transformations for a function [tex]f(x)[/tex]:

1. If [tex]f(x)+k[/tex], the function is shifted "k" units up.

2 If [tex]f(x)-k[/tex], the function is shifted "k" units down.

3. If [tex]f(x-k)[/tex], the function is shifted "k" units right.

4. If [tex]f(x+k)[/tex], the function is shifted "k" units left.

5. If [tex]-f(x)[/tex], the function is reflected over the x-axis.

6. If [tex]f(-x)[/tex], the function is reflected over the y-axis.

Then, given the parent function [tex]f(x)[/tex]:

[tex]f(x)=2^x[/tex]

And knowing that the the other function is:

[tex]g(x)=-2^{(x+4)}-2[/tex]

You can identify that the function [tex]g(x)[/tex] is obtained by:

- Shifting the function [tex]f(x)[/tex] 4 units left.

-  Reflecting the function  [tex]f(x)[/tex] 4 over the x-axis.

- Shifting the function [tex]f(x)[/tex] 2 units down.

Answer:

A is correct

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{1}{4}[/tex] and c = - 1, thus

y = [tex]\frac{1}{4}[/tex] x - 1 → C

The location of point A of the number line will be at 2 ¹/₃.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The section between the numbers 2 and 3 will be 3.

The location of point A is given as,

⇒ 2 + 1/3

Convert the expression into a mixed fraction number. Then we have

⇒ 2 + 1/3

⇒ 2 ¹/₃

The location of point A of the number line will be at 2 ¹/₃.

More about the number line link is given below.

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Answer:1300

Step-by-step explanation:

in a week =25$

a year has 52wks

so...52×25=1300$in a year

Answer:

$1300

Step-by-step explanation:

$25 / week

52 weeks per year

52($25) = $1300

Hope this helps :)