Answer:
1,562.85
Step-by-step explanation:
34.5 times 45.3
Answer:
1562.85 ft^2
Step-by-step explanation:
area is L x W
plug in 34.5 and 45.3
34.5 x 45.3 = 1562.85
thus, our final answer is 1562.85
Evaluate: 30 - 12÷3×2 =
Answer:
22
Step-by-step explanation:
We can use the order of operations (PEMDAS), to solve this equation.
We must first multiply and divide, and order. This means we divide 12 by 3 and get 4, then multiply that by 2 and get 8. (30-12÷3×2,30-4×2,30-8). Now we just subtract 8 from 30 and get 22 as our answer.
Jerry has just purchased his first home for $190,000. He put down a 20 percent down payment of $38,000 and took out a 5 percent mortgage for the rest. His mortgage payment is $700 per month. How much of his first monthly mortgage payment is amortization?
Answer:
$66.67
Step-by-step explanation:
The calculation of first monthly mortgage payment is amortization is given below:-
Amount borrowed = Purchase first home cost - Down payment
= $190,000 - $38,000
= $152,000
Annual interest = ($152,000 × 5%) ÷ 12
= $7,600 ÷ 12
= $633.33 per month
Now,
First monthly payment = Mortgage payment - Annual interest
= $700 - $633.33
= $66.67
Hence, we simply applied the above formula.
When two objects are near each other, how would increasing one object’s mass affect it?
Company DIMOND just paid annual dividend of $5 today. The dividend is expected to grow at 3% for the next 5 years, then it will grow at 5% in perpetuity. If stocks of similar company earn 9% annual return, what is the price of a share of Company DIMOND stock?
Answer:
$120.05
Step-by-step explanation:
Div₀ = $5
Div₁ = $5.15
Div₂ = $5.3045
Div₃ = $5.463635
Div₄ = $5.62754405
Div₅ = $5.796370372
Div₆ = $6.08618889
first we must determine the terminal value on year 5:
terminal value = $6.08618889 / (9% - 5%) = $152.1547223
now we determine the present values of our future dividends + terminal value = $5.15/1.09 + $5.3045/1.09² + $5.463635/1.09³ + $5.62754405/1.09⁴ + $5.796370372/1.09⁵ + $152.1547223/1.09⁵ = $4.724 + $4.464 + $4.219 + $3.987 + $3.767 + $98.890 = $120.05
y=-2 4x-3y=18 equations using substitution
Answer:
X = 3
Y = -2
Step-by-step explanation:
If y = -2, you can plug in -2 for y in the equation 4x - 3y. This means that this equation will become 4x -3(-2) = 4x+6=18. Solve for x from this, and you will get 3.
Answer:
x=3/y=-2
Step-by-step explanation:
halp meh i need to do this by tommarow
6/11
Step-by-step explanation:
hope it helps also what's the dot?
Solve each inequality.
1. 2(k + 4) - 3k ≤ 14
2. 3(4c - 5) - 2c > 0
3. -x + 2 < 3x - 6
4. 3v - 12 > 5v + 10
3. -x + 2 < 3x - 6
=3x +x < 2 + 6
=4x < 8
=x > 8/4
=x > 2
4. 3v - 12 > 5v + 10
= 5v-3v > 10+12
=2v > 22
= v < 22/2
=v < 11
28. SUBMARINE A submarine dives 106 feet below the water. Then it rises
63 feet.
Solve for d please !!!!
Answer:
f²r-nr=d
Step-by-step explanation:
f²r-N=d/r
multiply both sides by r to get d by itself
f²r-nr=d
(all variables need to be there in your final equation)
which expression is equivalent to -14–6?
Answer:
-14+(-6) = -6+(-14)
Ahmad and Ben have a total of 78 keychains.
Ben has twice as many keychains as Charlie.
Ahmad has 6 keychains less than Charlie.
.
.
.
.
.
.
(a) How many keychains does Ahmad have?
(b) How many keychains does Charlie have?
Sorry it was tru
2C=B
C-A=6 A=C-6
A+B+C=78
78=C-6+2C+C
When a dilation occurs the original figure is
Answer:
A dilation stretches or shrinks the original figure. A description of a dilation includes the scale factor (or ratio) and the center of the dilation. The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch).
Step-by-step explanation:
Triangle DEF is a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82∘. What is the largest angle measure in triangle DEF?
Answer:
164
Step-by-step explanation:
Because if you multiply 82 x 2 it would equal 164 but you can also divide each number by 82 to get your answer
How many 1/4 pieces are in 5 3/4
Answer:
23
Step-by-step explanation:
3/4 has 3 of 1/4 pieces.
5 has 20 of 1/4 pieces.
The number of pieces of 1/4 in 5 3/4 is 23 pieces
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of pieces be = A
Let the number be = 1/4
Now , the number of pieces of 1/4 in 5 3/4 is calculated as
The number 5 3/4 is converted into mixed fraction is 23/4
So , the equation is
The number of pieces of 1/4 x n = 23 / 4
So , the equation will be
n x 1/4 = 23 / 4 be equation (1)
Multiply by 4 on both sides , we get
n = 23 pieces
Therefore , the number of pieces 1/4 is in 5 3/4 is 23 pieces
Hence , The number of pieces of 1/4 in 5 3/4 is 23 pieces
To learn more about equations click :
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Solve for x
65°
40°
X+85°
Answer:40.
Step-by-step explanation:
Salve hy Setting up and Solving an Equation
Problem
Two planes leave San Antonio at the same time.
The northbound planc travels 70 mih faster than
the southbound plane. The planes are 1940 mi
upart in 2 h. How fast is the southbound plane
flying?
Answer:
Speed of the southbound plane = 450 mph
Step-by-step explanation:
Let the speed of the northbound plane = x miles per hour
And the speed of the southbound plane = y mph
Since, northbound plane travels 70 mph faster than the southbound plane,
x = y + 70 -----(1)
The planes are 1940 miles apart in 2 hours.
From the formula,
Distance traveled = Speed × time
Distance traveled by northbound plane in 2 hours = 2x miles
Distance traveled by the southbound plane in 2 hours = 2y miles
2x + 2y = 1940
x + y = 970 -----(2)
By substituting the value of x in equation (2) from equation (1)
y + 70 + y = 970
2y = 970 - 70
y = 450 mph
from equation (2)
x + 450 = 970
x = 520 mph
Solve -11 > -1 - 2x solve and check your answer
Answer:
x>5
Step-by-step explanation:
-11>-1-2x
2x>-1+11
2x>10
x>5
Answer:
5 > x
Step-by-step explanation:
-11 > -1 -2x ---> plus one on each side---> -10 > -2x ----> divide by -2 --> 5 > x
is 15 square rooted rational
Answer: The square root of 15 is a rational number
explanation: if 15 is a perfect square. ... Since 15 is not a perfect square, it is an irrational number. This means that the answer to the square root of 15 will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.
2) A drum full of rice weighs 40 1/6 pounds . If the empty
drum weighs 3 3/4 pounds. find the
weight of rice in the
drum
Answer:
36.416 the 6 is repeating repeating
Step-by-step explanation:
I believe this is right. I hope this helps you!! I apologize if wrong.
Write in algebraic form. “The sum of a and the square root of b”
Answer:
The algebraic form of " the sum of a and the square root of b" is [tex]a + \sqrt{b}[/tex].
Step-by-step explanation:
evaluate -12-(-7)
rewrite
Answer:
-5
Step-by-step explanation:
two negative signs equal a positive sign.
Soo that would make -12-(-7) turn into -12+7 .
-12+7 =-5
Answer:
-5
Step-by-step explanation:
Subtracting a negative number is the same as adding a positive number.
-12 - (-7)
-12 + 7
-5
Best of Luck!
scar goes to the gym 4 times per week. Every time he walks 5 miles on the 4 points
treadmill. How many miles does he walk on the treadmill in one year?
Answer:
He walks 1,060 miles on the tremil in one year.
Step-by-step explanation:
4*5=20*53=1,060
There are 53 sometimes 52 weeks in a year,2020 wise 53 so 53*20=1,060 miles.
Harlon wrote the equation uppercase A = 18 (x squared + 1) to find the area of a rectangle that has a length of x squared + 1 and a width of 18. He solved for x and got x = plus-or-minus StartRoot StartFraction uppercase A Over 18 EndFraction minus 1 EndRoot Which of the following is an equivalent equation for x?
Answer: x= a-18/18
Step-by-step explanation:
The expression equivalent to this is letter A. x= ±√(A-18/18)
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
To solve for x in the equation for the area which was given to be;
A = 18(x^2 + 1),
So, we divide both sides of the equation by 18 first.
A/18 = x^2 + 1
Then, we subtract 1 from both sides of the equation;
A/18 – 1 = x^2
Then, we simplify the expression in the left side of the equation;
(A – 18)/18 = x^2
And obtain the square root from both sides of equation,
x= ±√(A-18/18)
Therefore, The expression equivalent to this is letter A. x= ±√(A-18/18)
Learn more about expression here;
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help me please
(pythagorean theorem)
Answer:
13 cm × 12 cm
Step-by-step explanation:
The diagonal of the top or bottom faces of the box is the hypotenuse of a triangle with legs 12 cm and 5 cm. The Pythagorean theorem tells you that diagonal length is ...
d = √(12² +5²) = √(144 +25) = √169 = 13 . . . cm
The width of the divider is 13 cm.
The height of the divider is shown as 12 cm.
The dimensions of the dividing rectangle are 13 cm by 12 cm.
2/9 of the members are boys in a community service club. if there are 95 more girls than boys, how many girls are there in club?
Answer:
There are 171 members in the club
Number of boys = 38
Number of girls = 133
Step-by-step explanation:
Let
x = total members of the club
Boys = 2/9x
if there are 95 more girls than boys
Girls = 2/9x + 95
how many girls are there in club?
Total members in the club = boys + girls
x = 2/9x + 2/9x + 95
x = 2+2/9x + 95
x = 4/9x + 95
x - 4/9x = 95
9x-4x/9 = 95
5/9x = 95
Divide both sides by 5/9
x = 95 ÷ 5/9
= 95 × 9/5
= 855/5
= 171
boys = 2/9x
= 2/9 * 171
= 342 / 9
= 38
Girls = 2/9x + 95
= 38 + 95
= 133
Total = 38 + 133
= 171
There are 171 members in the club
Number of boys = 38
Number of girls = 133
how to find a in this ?
Answer:
see explanation
Step-by-step explanation:
(a)
The triangle has 2 congruent sides and is therefore isosceles.
(b)
The base angles of an isosceles triangle are congruent, thus
a = [tex]\frac{180-52}{2}[/tex] = [tex]\frac{128}{2}[/tex] = 64
(c)
a = b = 64 ( alternate angles )
Evaluate (101.5)^2 – (100.5)^2 *
Answer:
[tex]\boxed{202}[/tex]
Step-by-step explanation:
[tex](101.5)^2-(100.5)^2[/tex]
[tex]= 10302.25 - 100.5^2[/tex]
[tex]= 10302.25 - 10100.25[/tex]
[tex]= 202[/tex]
Hope this helped you!
202
Step-by-step explanation:Hi there !
(101.5)² – (100.5)² =
use formula a² - b² = (a - b )(a + b)
= (101.5 - 100.5)(101.5 + 100.5)
= 1×202
= 202
Good luck !
Jacob ordered pizza from his favorite pizzeria. The pizzeria delivers pizzas for $10 each plus a delivery charge of $2.99. Jacob paid a total of $32.99. Write an equation that models this situation. Let p = the number of pizzas delivered. Equation:
Answer:
$10p + $ 2.99 = $32.99
Step-by-step explanation:
I got this because he got multiple pizzas that are each $10, but we don't know how many there are, so I put $10p together.
He also pays $2.99 as a delivery charge.
And I ended it with the equation equaling $32.99 because that is the total he paid.
please answer
will mark as brainliest
Answer: Four more than zero, four greater then zero, positive four.
Step-by-step explanation: hope this helps
Answer:
Four more than zeroFour greater than zeroPositive fourStep-by-step explanation:
The original statement is "four above zero". Four above zero is 4.
Negative four, would be -4. That is the opposite of the original answer. Therefore, they're not equal.Four more than zero is 0 + 4. 0 + 4 is 4, which is the answer to the original statement. Therefore, they're equal.Four greater than zero is represented like this: 0 + 4. 0 + 4 = 4, so they are equal.The opposite of positive four is negative four, so it is not correct.Four less than zero is this: 0 - 4. 0 - 4 is equal to -4, so they are not equal.Positive four is pretty self-explanatory. It's 4. So, that is correct and equal to the original statement.I hope this helps!
Write the equation of the line that passes through the given points. (8,0) and (0,4)
Answer:
[tex]y = - \frac{1}{2} x + 4[/tex]
Step-by-step explanation:
The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
This is also known as the slope-intercept form.
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }, \\ where \: (x1, y1) \: is \: the \: 1st \: coordinate \: and \: (x2, y2) \: is \: the \: 2nd \: coordinate.[/tex]
Find the value of m using the gradient formula above:
[tex]m = \frac{4 - 0}{0 - 8} \\ m = \frac{4}{ - 8} \\ m = - \frac{1}{2} [/tex]
Substitute m= -½ into the equation:
y= -½x +c
To find the value of c, substitute a pair of coordinates:
When x= 0, y=4,
[tex]4 = - \frac{1}{2} (0) + c \\ 4 = c \\ c = 4[/tex]
Thus, the equation of the line is y= -½x +4.
