What percent of 31 is 48 if necessary round your answer to the nearest hundredth of percent

Answer:

Emily's investment = $8,000

Step-by-step explanation:

Let Emily's invested amount = x

Let Samira's amount = y

8% of Emily's amount = 8/100 × x = 0.08x

9% of Samira's amount = 9/100 of y = 0.09y

∴ 0.08x + 0.09y = 1720

multiplying through by 100

8x + 9y = 172000 - - - - - (1)

7% of Emily's amount = 0.07x

6% 0f Samira's amount = 0.06y

0.07x + 0.06x = 1280

multiplying through by 100

7x + 6y = 128000 - - - - - - (2)

Next, let us subtract eqn 2 from eqn 1

equation (1) - equation 2

    8x + 9y = 172000

-

    7x + 6y = 128000

=     x + 3y = 44000 - - - - (3)

from eqn (3) x = 44000 - 3y - - - - - (4)

putting this value of x into eqn 1

8x + 9y = 172000

8 (44000 - 3y) + 9y = 172000

352000 - 24y + 9y = 172000

-15y = 172000 - 352000 = -180000

y = 180000 ÷ 15

y = $12,000

finding x using eqn (4)

x = 44000 - 3y

x = 44000 - 3(12000)

x = 44000 - 36000

x = $8,000

∴ Emily's investment = $8,000

Answer:

4. 21

5. 45

6. 22

Step-by-step explanation:

4. 6 + (2^4) - 1

   6 + (16) - 1

   22 - 1 = 21

5. (4 * 3²) + (18 - 9)

   (4 × 9) + (9)

   (36) + (9) = 45

6. 16 + (5² - 7) ÷ 3

PEMDAS tells us to do what's in Parentheses first

16 + ( 25 - 7) ÷ 3

16 + (18/3)

16 + 6 = 22

Answer:

The probability of rolling a dice six time until a 7 is first seen is 0.059

Step-by-step explanation:

The probability of getting a seven is equal to [tex]\frac{1}{10}[/tex]

The dice need to be rolled only six times.

This means that for the first 5 times the dice showed values other than 7 and in the last roll it displays 7

Hence the probability of rolling a dice six time until a 7 is first seen is

[tex](\frac{9}{10})^5 * (\frac{1}{10})^1[/tex]

[tex]= \frac{9^5}{10^6} \\= 5.90[/tex] % or 0.059

Answer:

x = 5

[tex] m\angle DEF = 90\degree [/tex]

Step-by-step explanation:

GE is the angle bisector of quadrilateral DEFG,

Thus, by angle bisector property:

9x°= (5x + 20)°

9x = 5x + 20

9x - 5x = 20

4x = 20

x = 20/4

x = 5

[tex] m\angle DEF = 9x\degree + (5x+20)\degree [/tex]

[tex] m\angle DEF = (14x+20)\degree [/tex]

[tex] m\angle DEF = (14\times 5+20)\degree [/tex]

[tex] m\angle DEF = (70+20)\degree [/tex]

[tex] m\angle DEF = 90\degree [/tex]

Answer:

the answer is WU is congruent to UV

Answer:

minimum: ([tex]\frac{\sqrt{3} }{3} , -\frac{8\sqrt{3} }{9}-2[/tex])

maximum: (-[tex]\frac{\sqrt{3} }{3} , \frac{8\sqrt{3} }{9}-2[/tex])

vertical intercept: (0 , -2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

400/700 = 4/7

salt: 4/7 × 14 g = 8 g

yeast: 4/7 × 7 g = 4 g

oil: 4/7 × 35 mL = 20 mL

water: 4/7 × 420 mL = 240 mL

Answer:

Ykjhcgighgy7vgygoohgvg

Answer:

1,099.6

Step-by-step explanation:

if the radius is 5 and height is 14

you do

V=(pi)r squared × height

Answer:

We conclude that the slope of the line containing the points (0, -2) and (3, -2) is:

Step-by-step explanation:

Given that the line includes the points

We need to find the slope of the line containing the points between (0, -2) and (3, -2) using the formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope between (x₁, y₁) and (x₂, y₂)

In our case,

now substituting (x₁, y₁) = (0, -2) and (x₂, y₂) = (3, -2) in the slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-2-\left(-2\right)}{3-0}[/tex]

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

[tex]m=\frac{0}{3}[/tex]

[tex]m = 0[/tex]

Therefore, we conclude that the slope of the line containing the points (0, -2) and (3, -2) is:

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Equations.

[tex]7 {a}^{2}b + 3 {b}^{2} [/tex]

1.) Polynomial ==> Binomial

2.) Degree ==> 2

3.) Terms ==> 2

4.) Name ==> Quadratic Equation in two variables.

5.) Coefficient => 7 and 3

Answer:

1.) Polynomial ==> Binomial

2.) Degree ==> 2

3.) Terms ==> 2

4.) Name ==> Quadratic Equation in two variables.

5.) Coefficient => 7 and 3

Step-by-step explanation:

1.) Polynomial ==> Binomial

2.) Degree ==> 2

3.) Terms ==> 2

4.) Name ==> Quadratic Equation in two variables.

5.) Coefficient => 7 and 3

Answer:

1 Quarter + 1 Nickel , 3 Dimes , 30 Pennies , 15 Pennies + 1 Nickel + 1 Dime , 10 Pennies + 2 Nickels + 1 Dime ... There are many different ways to make 30 cents with certain coin combinations.

Step-by-step explanation:

Answer:

your y intercept is 90 and the equation would be y= 90 and x is unknown

Answer: Increasing her speed  by 5km/h, she will take 4.5 hours to complete the journey.

Step-by-step explanation:

Step 1

Speed= Distance  / TIme

Given Speed = 45km/h

and Time = 5 hours

Distance covered = Speed x Time

= 45 km/h x 5 hours

=225 kilometres.

Step 2

Increasing her speed by 5km/h makes the new Speed = 45 +5 = 50 km/h

At the same Distance of 225 km

Therefore she will complete the journey in

Time = Distance/ Speed

=225km/ 50km/h

=4.5 hours

Answer:

6.5

Step-by-step explanation:

Hope I helped!

Answer:

75 m

Step-by-step explanation:

1m 60 cm = 160 cm

160cm-85cm= 75 cm

~ 75 cm of tape is left in the roll.

Answer:

[tex]\boxed{\textsf{ Hence the solution set is$ \bf{\bigg( \dfrac{33}{4},\infty \bigg) }$}}.[/tex]

Step-by-step explanation:

A inequality is given to us and we need to find the solution set. So the given inequality to us is ,

[tex]\bf\implies -4x + 35 > 2 \\\\\bf\implies -4x > 2-35 \\\\\bf \implies -4x > -33 \\\\\bf \implies x >\dfrac{-33}{-4}\\\\\bf \implies x > \dfrac{33}{4} \\\\\bf\implies \boxed{\pink{\bf x \in \bigg(\dfrac{33}{4}, \infty \bigg) }}[/tex]

Answer:

Step-by-step explanation:

5

Answer: x = 29

Step-by-step explanation:

both angles are the same

so:

2x = 3x-29

2x - 3x = -29

-x = -29

x = 29

Answer:

i believe the answer is c

Step-by-step explanation:

i'm not entirely sure but i hope this helps :)

have a nice day !!

**please let me know if this was wrong**

Answer:

B & C

Step-by-step explanation:

you have to solve for x in both a negative and positive way

Answer:

The two column proof is presented as follows;

Statement                   [tex]{}[/tex]                  Reason

1. Parallelogram SUPN [tex]\overline {SR}[/tex]⊥ [tex]\overline {UN}[/tex] [tex]{}[/tex]   1. Given

and [tex]\overline {MP}[/tex]⊥ [tex]\overline {UN}[/tex]

2. ∠SRU = ∠PMN = 90°   [tex]{}[/tex]                 2. Definition of perpendicular lines

3. ∠SRU ≅ ∠PMN            [tex]{}[/tex]                 2. Definition of congruency

4. [tex]\overline {UP}[/tex] ║ [tex]\overline {SN}[/tex]                      [tex]{}[/tex]                4. Opposite sides of a parallelogram are                                            [tex]{}[/tex]                                                               congruent

5. ∠SNR ≅ ∠PUM             [tex]{}[/tex]               5. Alternate interior angles are congruent

6. [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex]                      [tex]{}[/tex]               6. Opposite sides of a parallelogram are                                            [tex]{}[/tex]                                                              congruent

7. ΔPMU ≅ ΔSRN                 [tex]{}[/tex]           7. By AAS rule of congruency

By the Angle-Angle-Side (AAS) rule of congruency, we have that, if two angles and a corresponding adjacent side (∠SRU ≅ ∠PMN, ∠SNR ≅ ∠PUM, [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex])  of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)

Step-by-step explanation:

Answer:

Step-by-step explanation:

p:c=10:14

p/c=10/14

p/7=10/14

p=7(10)/14

p=5

Answer:

5 plates

Step-by-step explanation:

First, make two fraction bars, one with the ratio 10/14 the other with the top blank and 7 on the bottom. Next, find how much to multiply 7 by to get 14. Use the number you get to divide 10 by. Then you should get 5. Hope this helped!

Answer:

2/3

Step-by-step explanation:

2/3

Step-by-step explanation:

Very Simple

Take 2 points

x,y

x1,y1= 3,2

x2,y2=6,4

Find the slope

Y2-Y1/X2-X1

4-2/6-3

2/3

Answer:

6

Step-by-step explanation:

Ok, so all we have to do is multiply 8 * 3/4, because each child needs 3/4 of the sandwich, and there are 8 of them. The easiest (My opinion) way to do this is by turning 8 into a fraction. Turning whole numbers into fractions is really simple, just slap a /1 under them to make them a fraction. And so, our fraction is 8/1. Now, all we have to do is multiply the top part of the fraction, and then the bottom part of the fraction. So, 8 * 3 = 24, and 1 * 4 = 4. So, just put 24/4 as an answer. But, wait! We have to simplify it! 24 divided by 4 is 6, so 6 is our final answer.

Answer:

Y=3/5x-3

Step-by-step explanation:

Answer:

y=5/3x+5

Step-by-step explanation:

1)3y-5x=15

2)3y=15+5x

3)y=5+5/3x

4)y=5/3x+5    

1) Write the equation out

2) Add 5x to both sides of the equation

3) Divide both sides of the equation by 3

4) Reorder the terms  

Answer:

28/15

Step-by-step explanation:

Answer:17

Step-by-step explanation:

20-3=17

Answer:

k = 7

Step-by-step explanation:

The goal is to solve for the variable k in this problem.

To do this, we need to get k by itself!

2k + 16 = 30

Start by subtracting the 16 over from the left side to the right

2k + 16 - 16 = 30 - 16

Simplify by subtracting 16 from 16 on the left side (which is 0) and 16 from 30 on the right side (which is 14).

2k = 14

Then finish by dividing both sides by 2 to get k by itself.

[tex]\frac{2k}{2}[/tex] = [tex]\frac{14}{2}[/tex]

Simplify by dividing 2 by 2 on the left side (which is 1) and 14 by 2 on the right side (which is 7).

k = 7

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{2k + 16 = 30}[/tex]

[tex]\huge\textbf{Solving for:}[/tex]

[tex]\mathbf{2k + 16 = 30}[/tex]

[tex]\huge\textbf{Subtract \boxed{\bf 16} to both sides:}[/tex]

[tex]\mathbf{2k + 16 - 16 = 30 - 16}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{3k = 30 - 16}[/tex]

[tex]\mathbf{2k = 14}[/tex]

[tex]\huge\textbf{Divide \boxed{\bf 2} to both sides:}[/tex]

[tex]\mathbf{\dfrac{2k}{2} = \dfrac{14}{2}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{x = \dfrac{14}{2}}[/tex]

[tex]\mathbf{x = 14\div2}[/tex]

[tex]\mathbf{x = 7}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{k = }\frak{\ 7}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]