Albert had a goal of saving $80. He saved 115% of his goal. How much money did Albert save

[tex]\bold{Heya!}[/tex]

[tex]\sf{= 10}[/tex]

Convert mixed numbers to imporved fractions: [tex]\sf{3 \frac{3}{4} = \frac{15}{4}[/tex]

[tex]\sf{= \frac{15}{4}[/tex] ÷ [tex]\sf{\frac{3}{8}[/tex]

Apply the fraction rule: [tex]\sf{\frac{a}{b}[/tex] ÷ [tex]\sf{\frac{c}{d} = \frac{a}{b} \: x \: \frac{d}c}[/tex]

[tex]\sf{= \frac{15}{4} \: x \: \frac{8}{3}[/tex]

Multiply fractions: [tex]\sf{\frac{a}{b} \: x \: \frac{c}{d} = \frac{a \: x \: c}{b \: x \: d}[/tex]

[tex]\sf{= \frac{15 \: x \: 8}{4 \: x \: 3}[/tex]

Multiply the numbers: [tex]\sf{ 4 \: x \: 3 = 12}[/tex]

[tex]\sf{= \frac{110}{12}[/tex]

Divide the numbers [tex]\sf{\frac{120}{12} = 10[/tex]

[tex]\sf{= 10}[/tex]

Hopefully This Helps! ~

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[tex]\underline{Answer :}[/tex]

Jaceysan ~

The major key with 2 flats is :

B♭ major

Answer:

The key of B♭ major has two flats

Step-by-step explanation:

An accidental sign consisting of two flat symbols ♭that lower a note by two half steps two semitones. The double flat symbol alters the pitch of the note to which it is attached as well as any subsequent occurrence of the same note identical line or space in the same measure.

Hope this helps

~Heaven~

Answer:

Step-by-step explanation:

a) x be the height of the wall

[tex]tan \ 14 =\dfrac{opposite \ side}{adjacent \ side}\\\\\\0.2493 = \dfrac{3}{x}\\\\\\x*0.25 = 3\\\\x = \dfrac{3}{0.25}\\\\\\x = 12 ft[/tex]

b) Let y be the hieght of  the wall

[tex]Sin \ 75 = \dfrac{opposite \ side}{hypotenuse}\\\\\\0.9659 = \dfrac{y}{15}\\\\\\0.97*15=y\\\\[/tex]

y = 14.6 ft

c) Let the angle formed between the bottom of the ladder to the ground be 'x'

[tex]Cos \x =\dfrac{adjacent \side}{hypotenuse}\\\\Cos \ x =\dfrac{3}{20}\\\\\\Cos \x = 0.15\\\\x = Cos^{-1} \ (0.15)\\\\[/tex]

x = 81°

No, the angle formed between the ground and the ladder is not safe as it is more than 70°

Let the farthest possible distance ladder placed from the wall be 'y'

[tex]Cos \ 70 =\dfrac{adjacent \ side }{hypotenuse}\\\\0.342 = \dfrac{y}{20}\\\\0.3*20=y[/tex]

y = 6 ft

6 ft is the furthest possible distance the ladder can be placed to maintain a safe angle.

Answer:

The answer is 33.75 per hour

Step-by-step explanation:

Divide 135 by 4

Part A: Jon has 442 miles left to drive.

ex: 625 - 183 = 442

Answer:

0.25 or 1/4

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Half of half a mile is one quarter mile:  (1/2)(1/2) = 1/4

Answer:

x=-37

Step-by-step explanation:

First, rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

                    2*x-31-(3*(x+2))=0

(2x - 31) -  3 • (x + 2)  = 0

Pulling out like terms

3.1     Pull out like factors :

  -x - 37  =   -1 • (x + 37)

Equation at the end of step

 -x - 37  = 0

Solving a Single Variable Equation:

4.1      Solve  :    -x-37 = 0

Add  37  to both sides of the equation :

                     -x = 37

Multiply both sides of the equation by (-1) :  x = -37

g(x)=4x+4

[tex]\:\boxed{\bf{Table}}\:\:\:\\ \boxed{\begin{array}{c|c}{\boxed{\bf x}}&{\boxed{\bf{g(x)}}}\\ \sf -1 &\sf 0\\ \sf 0&\sf 4 \\ \sf 2&\sf 12 \\ \sf 3&\sf 16 \\ \sf 4 &\sf 20\end{array}}[/tex]

Answer: there iis none so cose zero

Step-by-step explanation:

Bob did a survey asking adults which pet they wished they had as a kid. The results are below. If 720 adults said the pet they wished they had was a dog, how many adults wished they had a rabbit?

Answer:

9.42 feet more

Step-by-step explanation:

the outer circle is 53.42 feet

hope this helps :)

Answer:

sin(x)= 1/2 or sin(x)= -1/5

Answer: a c d e

Step-by-step explanation:2nd part

Using the Heron's formula, the area of the parallelogram is 36.7 square units.

Heron's Formula = √[s(s - a)(s - b)(s - c)],

where,

Area of the parallelogram = 2(area of triangle)

Therefore,

The area of the triangle can be found using Heron's Formula

a = 5 units

b = 8 units

c = 11 units

s = 5 + 8 + 11 / 2 = 12 units

area of triangle = √[12(12-5)(12 - 8)(12 - 11)]

area of triangle = √12 × 7 × 4 × 1

area of triangle = √336

area of triangle = 18.3303027798

area of triangle= 18.33 units²

Therefore,

area of parallelogram = 2(18.33) = 36.6606055596

area of parallelogram = 36.7 unit²

learn more on Heron's formula here:https://brainly.com/question/12771530

The correct answer is 36.7 square units

Math

Translating the figure involves chaging the position of the figure

The coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)

The coordinates are given as:

(−3, 2), (−4, 1), and (−1, −5)

The rule of translation 3 units right and 5 units up is:

(x + 3, y + 5)

So, we have:

(−3 + 3, 2 + 5), (−4 + 5 , 1 + 5), and (−1 + 3, −5 + 5)

Evaluate the sum

(0, 7), (1 , 6), and (2, 0)

Hence, the coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)

Read more about translation at:

https://brainly.com/question/11468584

Answer:

225 men

This conversion leads to the answer:

Answer:

100,10,1

dividing by 3 we get the above answers

The left out number is 12 if the  average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

Let's suppose the number of sum is x when mean is 8

[tex]\rm \dfrac{x}{5} = 8[/tex]

x = 40

Now one number is left out, mean become 7 let's suppose the sum is y.

[tex]\rm \dfrac{y}{4} = 7[/tex]

y = 28

So, the number = 40 - 28 = 12

Thus, the left out number is 12 if the  average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.

Learn more about the mean here:

https://brainly.com/question/22871228

#SPJ1

Answer:

See below.

Step-by-step explanation:

Because same-side interior angles are supplementary, and becasue these two angles are equal, each angle must be one-half of 180°, or each angle must have a measure of 90°.

Answer:

0.65

.6 x .5 + .7 x .5 = 0.65

Step-by-step explanation:

Answer:

a

when you round the number up it becomes 300,000.00

Answer:

you have 3 way which one you want comparison supstitution or the third one

each minute pass by, the second hand rotate 360 degrees while minute hand rotate 6 degrees= 1/60 angle rotation of second hand. Let assume that the starting time is 12:00 hour, zero minute and zero second exactly .

by this simple method you can figure out your answer that what actually it is.

GOOD LUCK !

1+1+2+2+3+3+4+4+5+5 is your answer. If it's wrong I'm sorry

Answer:

1.25w

Step-by-step explanation:

w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here  is how to solve it:

[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]

The total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

[tex]I=\dfrac{Prt}{100}[/tex]

Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).

Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. The amount save in a year (12 months) is,

[tex]P=83.42\times12\\P=1001.04[/tex]

The interest earned on this principal amount with earning 1.8% simple interest, after 3 years is,

[tex]I=\dfrac{1001.04\times1.83}{100}\\I=54.06[/tex]

The total total amount in his bank account after 3 years is,

[tex]A=P+I\\A=1001.04+54.06\\A=1055.10[/tex]

Hence, the total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

Learn more about the simple interest here;

https://brainly.com/question/2294792

Answer:

b.

$1,055.10

Step-by-step explanation:

right on edg 22

Answer:

The zeros are -5, -1, 0, 4, 5.

Step-by-step explanation:

x(x2 – 25)(x2 – 3x – 4) = 0

x(x - 5)(x + 5)(x + 1)(x - 4) = 0

so either x or the other 4 factors can be 0 :

x = 0, x - 5 = 0, x + 5 = 0, x + 1 = 0 or x - 4= 0, giving:-

x = 0, 5, -5, -1, 4.

just more and more of these.

⇒ ANSWER :   x = 0, x = 5, x = -5, x = 4 and x = -1

EQUATION GIVEN: g(x) = x(x2 – 25)(x2 – 3x – 4)

1) factorize the equation

g(x)=x(x-5)(x+5)(x²-3x-4)

2) expand the equation

g(x)=x(x-5)(x+5)(x²+x-4x-4)

3) factorize

g(x)=x(x-5)(x+5)(x(x+1)-4(x+1))

4) factor out x+1

g(x)=x(x-5)(x+5)(x-4)(x-1)

5) equate to 0

x(x-5)(x+5)(x-4)(x+1)=0

6) solve for x

x = 0, x = 5, x = -5, x = 4, x = -1

Pain.

Answer:

1. 6/10 – 2/5 =

Ans: 2/10, which can be reduced to 1/5.

2. If a tank is 5/8 filled with solution, how much of the tank is empty?

Ans: 3/8 of the tank is empty. Since the whole tank would equal 8/8, or 1, and 5/8 of it is filled, then that

means 3/8 of it remains empty.

3. 1/2 x 3/5 x2/3 =

Ans: 6/30, which can be reduced to 1/5.

4. 5/9 ÷ 4/11 =

Ans: 55/36. You cannot reduce this fraction any further.

5. Convert 27/4 to a decimal.

Ans: 6.75. This answer is arrived at by dividing 4 into 27.

6. Convert 0.45 to a fraction.

Ans: 45/100, which can be reduced to 9/20.

7. 4.27 x 1.6 =

Ans: 6.832

8. 6.5 ÷ 0.8 =

Ans: 8.125

9. 12 + 4.52 + 245.621 =

Ans: 262.141

Step-by-step explanation:

I hope this helps