Answer:
40
Step-by-step explanation:
Given problem:
x² - y²
x+ y = 10
x - y = 4
Solution:
Using the concept of differences of two squares;
x² - y² = (x + y)(x - y)
So;
x² - y² = 10 x 4 = 40
A 20 gallon tank is full. How many gallons are in the tank?
Answer:
20???
Step-by-step explanation:
A restaurant charged Ms. Smith $120 for dinner,
while at dinner she met with a friend and they had a
great conversation about the 25 animals at the zoo.
When dinner was over she left a 15% tip. How much
was the tip amount?
Polly stacked the tins from five boxes of cat food onto an empty shelf in a supermarket. There were 15 tins of cat food in each box. At the end of the week there were 20 tins left on the shelf. The rest of the tins had been sold. Write the number of boxes of cat food that had been sold, as: (a) A mixed number (b) An improper fraction
Answer:
(a) [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
Step-by-step explanation:
From the question,
Polly stacked the tins from five boxes of cat food onto an empty shelf and there were 15 tins of cat food in each box. That is,
5 × 15 tins of cat food were stacked onto the empty shelf.
5 × 15 = 75
Hence, 75 tins of cat food were stacked onto the empty shelf.
Also, from the question,
At the end of the week there were 20 tins left on the shelf and the rest of the tins had been sold, that is
75 - 20 tins had been sold
75 - 20 = 55
Hence, 55 tins of cat food had been sold.
To determine the number of boxes of cat food that had been sold,
Since there are 15 tins of cat food per box, then
we will divide 55 tins of cat food that had been sold by 15 tins of cat food per box
55 ÷ 15 = [tex]\frac{55}{15}[/tex]
Hence, [tex]\frac{55}{15}[/tex] boxes of cat food had been sold
(a) As a mixed number
[tex]\frac{55}{15} = 3\frac{2}{3}[/tex]
Hence, [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) As an improper fraction
[tex]\frac{55}{15} = \frac{11}{3}[/tex]
Hence, [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
X^2+ 17x+91=0
Help please!!
Answer:
x^2+17x+91=0
a = 1; b = 17; c = +91;
Δ = b2-4ac
Δ = 172-4·1·91
Δ = -75
Delta is less than zero, so there is no solution for the equation
Step-by-step explanation:
What is the solution to 4 x + 6 less-than-or-equal-to 18?
help
<3
Answer:
x is less-than-or-equal to 3
Step-by-step explanation:
4(3)+6 =18
Solve for x:
1/2x + 10 = -2 + x
Answer: x = 24
Step-by-step explanation: coz I juss know
Answer:x=24
Step-by-step explanation:hope this helps!
You need at least 30 cubic feet of sand to fill a sand box. Each box contains 2.5 cubic feet of sand. Write and solve an inequality that represents the number of bags “b” that you need to buy
Answer:
2.56 = 30
b = 12
(Sorry if I’m wrong! I speeded on it.)
Step-by-step explanation:
Write each equation/inequality in slope-intercept form.
y- 5 = 1/3 (x-6)
Answer:
Your answer is: y = 1/3x + 3
Use the formula y = mx + b
Step-by-step explanation:
Hope this helped : )
can someone help me with this
Answer:x+90+20=180,70*
Step-by-step explanation
i hope this helped :D
Explain why a+b=d because I don’t understand
Answer:
a and b connect to d in the slope
Step-by-step explanation:
Answer:
Aight mate
Step-by-step explanation:
So every triangles angles will add up to 180 degrees no matter the triangle. Now a circle is 360 and a line is 180. Look at the line that A and C are on this line equals 180. So angle c and d added together make 180 and angles a b and c added together make 180. so if a+b+c = c+d then a+b=c. I hope thaqtmakes sense.
Find the equation of the line passing through the point (–1, 0) and parallel to the line y = –1∕2x + 3∕7
Answer:
y = -1/2x - 1/2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
y = -1/2x + 3/7
Point (-1, 0)
Step 2: Find parallel line
Parallel lines have the same slope as the original but different y-intercepts.
m = -1/2
y = -1/2x + b
0 = -1/2(-1) + b
0 = 1/2 + b
b = -1/2
Step 3: Write parallel line
y = -1/2x - 1/2
what is the siope of a line that passes through the points (2, 3) and (4.-12)?
Answer:
-7.5
Step-by-step explanation:
PLZ ANSWER THE QUESTION 50 POINTS!!!!!!!
(-4,3) m=2 make this in point slope form
Answer:
y-3=2(x-(-4))
Or
y-3=2(x+4)
Step-by-step explanation:
If f(x) = -2 cos x, findf(-300 º). Do not use a calculator.
Answer:
- 1
Step-by-step explanation:
Using the trigonometric identity
cos(- x) = cosx and exact value cos60° = [tex]\frac{1}{2}[/tex]
Given
f(x) = - 2cosx , then
f(- 300° )
= - 2cos(- 300)°
= - 2cos(300)°
= - 2cos(360 - 300)°
= - 2cos60°
= - 2 × [tex]\frac{1}{2}[/tex]
= - 1
When dividing fractions, like 1/5 divided by 3/4 what do we do?
Answer:
we cry bc math is hard JKK unless ?
but fr we can write out an equation by doing (1/5 ÷ 3/4) and then switch the sign to multiplication and we can keep the first fraction the same (in this case 1/5) and then we flip the second fraction BUT when we flip the second fraction upside-down we have to change the symbol to multiplication (1/5x4/3)
then after that all we do is multiply the denominators and numerators :)
1 x 4 = 4
_______
5 x 3 = 15
answer would be 4/15
A fraction is a way to describe a part of a whole. The result of the division of the fraction is 4/15.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The division of two fractions is carried out by multiplying the dividend fraction(Numerator) by the reciprocal of the divisor fraction(Denominator).
The divisions of the given fractions are carried out as shown below.
1/5 ÷ 3/4
[tex]=\dfrac{\dfrac{1}{5}}{\dfrac{3}{4}}\\\\\\= \dfrac{1 \times 4}{5 \times3}\\\\=\dfrac{4}{15}[/tex]
Hence, the result of the division of the fraction is 4/15.
Learn more about Fraction here:
https://brainly.com/question/1301963
#SPJ2
Which equation in standard form has a graph that passes
through the point (-5,11) and -2.5 is the slope.
Who is my Dad?
A. Donkey kong
B. King kong
C. papa smurf
D. Napolean bonepart
Answer:
Donkey Kong
Step-by-step explanation:
help = brainleist
please help
Answer:
The answer is D
Step-by-step explanation:
Hope this helps
please mark as brainlist
1+2x6+7= -13
where do i have to put the parenthesis so its correct
Answer:
you have to but it back 2 times
Step-by-step explanation:
ir is because it should be back 2 rimes
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION RQ!!!!!!
Answer: 6 i thank
Step-by-step explanation:
So three quarters is 1/3. So 1/3 of 18 is 6.
And the average size of an Gecko is 18in
And a Iguanas is 1/3 that of an Gecko
Hopefully that helps
The volume, V, of a certain gas varies inversely with the amount of pressure, P. placed on it. The volume of this gas is 175
cm' when 3.2 kg/cm² of pressure is placed on it. What amount of pressure must be placed on 400 cm' of this gas?
2.86 kg/cm2
1.31 kg/cm?
7.31 kg/cm2
1.40 kg/cm2
Answer:
1.3 kg/cm
Step-by-step explanation:
Need helps with 45 , picture above
Answer:
Ok:
Step-by-step explanation:
We know Josh buys 3 oranges for $2 and sells 2 oranges for $3. Let's take the LCM (least common multiple) of 2 and 3. It is 6. If he buys 6 oranges, he needs $4. When he sells 6 oranges he makes $9. That is a total profit of $5. In total that means, if we multiple by 10, that means that if he sells 60 oranges, he would make $50. Thus C is the answer
You are a car salesperson and make $17.50 per hour. You are paid on a biweekly basis. Your boss encourages a competition between employees by letting you know that you will receive $100 for each new car you sell. In the first week, you work 20 hours and sell 2 cars. In the second week, you work 30 hours and sell 3 cars. How much will your pay be at the end of the these two weeks?
Answer:
Your pay at the end of the these two weeks will be $1,375
Step-by-step explanation:
In the first place, it is convenient to calculate your salary each week, and then simply add the salary for each week and obtain the fortnightly pay.
In the first week you work 20 hours and sell 2 cars. Knowing that you earn $ 17.50 per hour and you receive $ 100 for each new car that you sell, then to obtain the payment in this first week you perform the calculation:
20 hours* $17.50 per hour + 2 cars * $100 for each car= $350 + $200 = $550
In the second week you work 30 hours and sell 3 cars. Then to obtain the payment in this second week you perform the calculation:
30 hours* $17.50 per hour + 3 cars * $100 for each car= $525 + $300 = $825
Then your salary at the end of these two weeks is calculated by:
Payment of the first week + Payment of the second week
$550 + $825 = $1,375
Another way to solve this problem is, first, add the total number of hours you did during these two weeks and the number of cars sold:
hours= number of hours in the first week + number of hours in the second week= 20 hours + 30 hours= 50 hourscars= number of cars sold in the first week + number of cars sold in the second week= 2 cars + 3 cars= 5 carsThen your salary at the end of these two weeks is calculated by:
50 hours* $17.50 per hour + 5 cars * $100 for each car= $525 + $300 = $1,375
Note that either way you get the same result.
Your pay at the end of the these two weeks will be $1,375
Identify the domain of these ordered pairs from least to greatest:
Answer:
(0,5)
Step-by-step explanation:
you are supposed to take the lowest and highest numbers of the x values and then that would be your domain
What is the solution to 8x - 3(2x - 4) = 3x - 18?
Answer:
X=30
Step-by-step explanation:
The answer is X=30
George is comparing two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on phone B is 5 and one-third cm. Which statement explains which phone has the wider screen? The screens have the same width. Screen A is wider, because 5.3 is greater than 5 and one-third.. Screen B is wider, because 5.3 is greater than 5 and one-third.. Screen B is wider, because 5 and one-third is greater than 5.3.
Answer:
The answer is "Screen B is wider , because 5.3 is greater than 5 and one-third".
Step-by-step explanation:
The mobile display unit must be made similar. Phone A uses a decimal device, and telephone B uses a fraction in this case.
It's easier for you to use. Attempt using the decimal. The width of the phone B fraction could then be translated to decimal width. The computing is:
= 5 cm + [tex]\frac{1}{3}[/tex] cm
= 5 cm + 0.333cm
= 5.333 cm
It is evident from here that the wider screen of Phone B is than that of Phone A.
Answer:
They are all the same width
Step-by-step explanation:
Charlie and Kathy want to borrow $21254 to make some home improvements. Their bank will lend them the money for 9 years at an interest rate of 5.07%. How
much will they pay in interest?
Answer:
$ 9698 will be paid paid in interest. hope this helps.
Step-by-step explanation:
interest= prn/100
i= 21254x9x5.07/100
i= $ 9698.2
Find the distance between V (4.4) and X (5.8). Round to the nearest tenth, if necessary. about units
Answer:
V= 5 X=6
Step-by-step explanation:
do you guys know this by any chance
Answer:
[tex]10^{17}[/tex]
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Look at the photo above and Answer the following
First one will get brainliest
Points set to 15 pls answer this as fast as possible grade 9 maths thank you
[tex]6 \times ( - 4) \\\blue{ = - 24}[/tex]
[tex] \\[/tex]
[tex] \frac{ - 20}{ - 5} \\ = \frac{20}{5} \\ \blue{= 4}[/tex]
[tex] \\[/tex]
[tex] \frac{ - 60}{6} \\\blue{ = - 10}[/tex]
[tex] \\[/tex]
[tex] - 2 \times 9 \\ \blue{ = - 18}[/tex]
[tex] \\[/tex]
[tex] \frac{20}{ - 4} \\ \blue{ = - 5}[/tex]
[tex] \\[/tex]
[tex] - 2 \times - 5 \\ \blue{= + 10}[/tex]
[tex] \\[/tex]
[tex] \frac{ - 49}{7} \\ \blue{ = - 7}[/tex]
[tex] \\[/tex]
[tex] - 10 \times - 7 \\ \blue{= + 70}[/tex]
[tex] \\[/tex]
[tex] \frac{36}{ - 6} \\ \blue{= - 6}[/tex]
[tex] \\[/tex]
[tex] - 10 \times 8 \\ \blue{ = - 80}[/tex]
[tex] \\[/tex]
[tex](2 \times - 3) - ( - 7\times - 10) \\ = - 6 - ( + 70) \\ = - 6 - 70 \\ \blue{ = - 76}[/tex]