Answer:
Step-by-step explanation:
The first number is
−
13
and the second number is
−
6
Explanation:
Let's let the first number be
n
and the second number be called
m
.
Then, from the first sentence we can write:
n
=
m
−
7
and from the second sentence we can write:
2
n
=
6
m
+
10
Substitute
m
−
7
for
n
in the second equation and solve for
m
:
2
(
m
−
7
)
=
6
m
+
10
2
m
−
14
=
6
m
+
10
2
m
−
14
−
2
m
−
10
=
6
m
+
10
−
2
m
−
10
−
14
−
10
=
6
m
−
2
m
−
24
=
4
m
−
24
4
=
4
m
4
m
=
−
6
Now substitute
−
6
for
m
in the first equation and calculate
n
:
n
=
−
6
−
7
n
=
−
13
Write the equation x2 + 24x + 60 = 0 in the form (x + p)2 = q.
A. (x + 12)2 = –60
B. (x + 12)2 = 84
C. (x + 12)2 = 204
D. (x + 6)2 = –24
The Answer is
A.(x+12)2 = -60
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The formula for (a + b)² = a² + 2ab + b²
The equation x² + 24x + 60 = 0 in the form (x + p)² = q is
(x + 12)² = 84
Option A is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
x² + 24x + 60 = 0
We can write this as,
x² + 2 x 12 x (x) + 60 = 0
The formula for (a + b)² = a² + 2ab + b²
Add 144 on both sides.
x² + 2 x 12 x (x) + 60 + 144 = 0 + 144
x² + 2 x 12 x (x) + 144 + 60 = 144
[ 12² = 144 ]
Subtract 60 on both sides.
x² + 2 x 12 x (x) + 144 = 144 - 60
x² + 2 x 12 x (x) + 12² = 84
(x + 12)² = 84
Thus,
The equation x² + 24x + 60 = 0 in the form (x + p)² = q is
(x + 12)² = 84
Option A is the correct answer.
Learn more about equations here:
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Can somebody help me? I need help...
Answer:
8/9
Step-by-step explanation:
your adding 1/18 each time
Pippa owns a snack bar.
She uses
of a kilogram of spread each day.
Spread costs £3.20 for a 1 kilogram tub and £6.15 for a 2 kilogram tub.
Pippa buys enough spread to last for 14 days.
What is the lowest price Pippa can buy this spread for?
Answer:
£43.05 (I believe, refer to step-by-step explanation.)
Step-by-step explanation:
Let's compare both of these tubs if we were to buy either of them for 14 days.
Starting with the 1 kilogram tub we need to do the calculation:
£3.20 × 14 = £44.80
(Type 3.2×14 into your calculator or write on paper this way to calculate.)
Now let's do the 2 kilogram tub.
£6.15 × 7 = £43.05
(Type 6.15×7 into your calculator or write on paper this way to calculate.)
The reason why I have put 7 instead of 14 is because it is 2 kilograms. Since Pippa uses 1 kilogram per day, you only need to buy 7. 2 × 7 = 14
So comparing either of these prices, buying 7 2-kilogram tubs is much cheaper compared to the 14 1-kilogram tubs.
20x16 help I’m stuck
Answer:
320
Step-by-step explanation:
my work is on the picture pls give brainliest thanks
Calculate the length AB
Answer:
Step-by-step explanation: bro use sin=opposite/hypotenuse
Suppose () = 46%; ( and ) = 10%; and ( or ) = 62% Find (Not ). Can this really be a probability? If not, explain why not.
Answer:
[tex]P(E) = 26 \%[/tex]
Step-by-step explanation:
Given
[tex]P(F) = 46\%[/tex]
[tex]P(E\ and\ F) = 10\%[/tex]
[tex]P(E\ or\ F) = 62\%[/tex]
Required
Find P(E)
In probability:
[tex]P(E\ and\ F) = P(E) + P(F) - p(E\ or\ F)[/tex]
Substitute the right values
[tex]10\% = P(E) + 46\% - 62\%[/tex]
[tex]10\% = P(E) -16 \%[/tex]
Collect Like Terms
[tex]P(E) = 10\% +16 \%[/tex]
[tex]P(E) = 26 \%[/tex]
It is a probability because all probabilities are within the range 0 to 100%
Daniel receives a 35% employee discount on all purchases he makes at the store. If he buys his brother a jersey that is regularly priced at $24.95, what price (before tax) will Daniel pay for the jersey?
ANSWER CORRECTLY AND I WILL GIVE YOU BRAINLIEST AND GET 10 POINTS
Answer:
The price to pay is $16.22
Step-by-step explanation:
From the question, the regular price is $24.95
now, there is a discount
So the price to pay is the regular minus the discount
Mathematically, we have this as:
24.95 - 35% of 24.95
= 24.95 - 0.35(24.95)
= $16.2175
This is approximately $16.22
It cost $32 per day to rent a medium-sized car plus $0.25 for each mile driven over 150 miles the equation that represents this situation is y= 0.25x + 32 where y represents the total cost of renting a car and x represents the number of miles driven over 150 miles
Answer:
a) 0.25 stands for 25 cents per mile
b) 32 stands for $32 just to rent the car
Step-by-step explanation:
A family pays for 50 MB of internet connectivity for downloads. When measuring their internet speed, a family member observed a maximum speed of 35 MB. By what percentage is the measured speed different from the advertised speed?
PLS HELP
Answer:
its 70% of the speed they expected
find the area of the quadrilateral triangle with side 10cm.
Help me yo
Answer:
The answer is 25√3cm²
Answer:
triangles have 3 sides. quadrilaterals have 4 sides. also, you have to know a side lenght and height of a triangle to get its area.
if ur talking about equilateral, then it would be 25√3 cm²
Find the area of the triangle where C = 18.5°, a = 32.4 cm, b = 49.2 cm
HEHE HELP
Answer:
questions mistake look questions and apply the formula 1/2 B×H
if you have a triangle and don't know where are the base and the high use this formula
area = 0.5 × side × side × sin the angle between the 2 sides
area = o.5 (32.4) (49.2) (sin 18.5)
= 797.04 × sin 18.5
=252.9
can somebody help me please.
Answer:
x intercept = (0.3, 0)
y intercept = (0, 0.4)
Answer:
x: (0.3,0)
y: (0,0.4)
PLEASE I NEED HELP FAST ITS PAST DUE AND IM STUCK ON THIS ONE. ILL MRK BRAINLIEST FOR THE FIRST PERSON WHO GIVES ME THE CORRECT ANSWER
Answer:
[tex]-27x^2\\[/tex]
Step-by-step explanation:
(Assuming you can use a calculator)
[tex]\sqrt[3]{-729x^6} = \sqrt[3]{-1} * \sqrt[3]{729} * \sqrt[3]{x^6} \\\sqrt[3]{-1} =-1\\\sqrt[3]{729} = 27\\\sqrt[3]{x^6} = ((x^6)^{1/3}) = x^(6/3) = x^2\\\\hence\\\sqrt[3]{-729x^6} = -1*27*x^2 = -27x^2[/tex]
Answer:
d
Step-by-step explanation:
1. Jonah has $75 in a savings account and is putting $7 every week in the account.
Noah has $50 in his own savings account and is putting in $12 every week. At
what point will the boys have the same amount of money in their accounts?
A. at 4 weeks
B. at 5 weeks
C. at 7 weeks
D. at 12 weeks
Answer:
B
Step-by-step explanation:
please find h and a
Answer:
h=12 + c=20
Step-by-step explanation:
a^2+b^2=c^2
9^2+h^2=15^2
15^2-9^2=h^2
225-81=h^2
144=h^2
[tex]\sqrt{144}[/tex] = h
12=h
a^2+b^2=c^2
16^2 + 12^2 = c^2
256+144=c^2
400=c^2
[tex]\sqrt{400}[/tex] = c
20=c
A streetlight that is 10 feet tall casts a 2.5-foot-long shadow. A nearby flagpole casts a 7.5-foot-long shadow. What is the height of the flagpole?
Answer: 30 feet
Step-by-step explanation:
10 / 2.5 = 4
7.5 * 4 = 30
Select the correct answer. Which number is the same as (4 ^-1) (2^3 divided by 4^-2)? A. -2 B. 1/8 C. 2 D. 32 E. 512
Answer:
b
Step-by-step explanation:
Number is the same as ([tex]4^{-1}[/tex])([tex]2^{3}[/tex] ÷ [tex]4^{-2}[/tex]) is 32.
Option D is correct.
What is PEDMAS rule?PEDMAS is an acronym for the words parenthesis, exponents, division, multiplication, addition, subtraction. The PEDMAS Rule is a set of rules that prioritize the order of calculations.
Given
([tex]4^{-1}[/tex])([tex]2^{3}[/tex] ÷ [tex]4^{-2}[/tex])
= [tex](4^{-1})[/tex] [tex](\frac{2^{3} }{4^{-2} })[/tex]
= [tex](4^{-1})[/tex][tex](\frac{2^{3} }{4^{-1}. 4^{-1}})[/tex]
= [tex](\frac{2^{3} }{4^{-1} })[/tex]
= [tex]2^{3} . 4^{1}[/tex]
= 8 × 4
= 32
Hence, number is the same as ([tex]4^{-1}[/tex])([tex]2^{3}[/tex] ÷ [tex]4^{-2}[/tex]) is 32.
Option D is correct.
Find out more information about PEDMAS rule here
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write an expression equivalent to 2(2x + 2y).
Answer:
4x+4y
Step-by-step explanation:
You can write an equivalent expression by simply simplifying the expression. In order to simplify this expression, distribute the numbers.
You'll get:
(2*2x)+(2*2y) = 4x + 4y
4x + 4y is an equivalent expression.
Write an equation in slope intercept form given m=2 and b=1
What is the answer to this question?
Answer:
Lets consider the rectangle Area= l × w Hence: 12 cm × 6 cm= 72 cm^2 I do quizzes and exams if your interestedStep-by-step explanation:
a. area of rectangle=lxh
lxh
12x6
=72
b.area of triangle =1/2xbxh
1/2xbxh
1/2x3x6
=9
c.area of triangle =1/2xbxh
1/2xbxh
1/2x3x6
=9
d.a=l^2
=6x6
=36
Suppose you invest $2200 at an annual interest rate of 5.3% compounded continuously. How much will you have in the account after 7 years?
Step-by-step explanation:
step 1. Let's call the amount of money A.
step 2. A = A¡e^(rt) (continuously compounding equation)
step 3. A = A¡e^(rt). A¡ = initial amount. r = rate, t = time.
step 4. A = 2200e^((.053)(7)
step 5. A = $3188.20
What is the value of x and the length of the segment?
Answer:
x=14
PN=MN=85
Step-by-step explanation:
It is an isosceles triangle because PQ=MQ and QN is perpendicular to PM. PN=MN
8x-27=6x+1
2x=28
x=14
PN=MN=85
Answer:
[tex] \huge \: x = 14 \:and\: \small\\ the\: length\: of\: the\: segment\: is \:85[/tex]Step-by-step explanation:
to understand thisyou need to know about:triangles congruencyequationPEMDAStips and formulas:when two triangles are congruent the included angles and sides of the triangles are equalPN=MNlet's solve:[tex]step - 1 : define[/tex][tex]8 x- 27 = 6x + 1[/tex]
[tex]step - 2 : solve[/tex][tex]add \: 27 \: to \: both \: sides \\ 8x - 27 + 27 = 6x + 1 + 27 \\ 8x = 6x + 28[/tex][tex]cancel \: 6x \: from \: both \: sides \\ 8x - 6x = 6x - 6x + 28 \\ 8x = 28[/tex][tex]divide \: both \: sides \: by \: 2 \\ \frac{2x}{2} = \frac{28}{2} \\ x = 14[/tex]the length of the segment is8x-27
8.14-27
85
please help me ! it’s due at 11:30
Answer:
what is the question
Step-by-step explanation:
Please help (25 points)
Answer:
BD=24
Step-by-step explanation:
I assigned my unkown sides of the triangles as x and y, where x = BD and y =AD.
I used pythagoras' theorem to find expressions for the the sides of the triangles in terms of x and y.
Both expressions had the term x^2 in them, so I equated expressions of x^2
From there i rearranged to find y.
Using my value of y, I found x.
I've given you my working so I hope that helps :>
Find the area of a circle with a diameter= 6.8cm
Answer: 36.32
Step-by-step explanation:
Area of circle is π(r^2)
r is d/2
= 3.14*((6.8/2)^2)
=36.32
The measure of angle 7 is
pls help quickly
Answer:
209 degrees
Step-by-step explanation:
gimmy had i apple. his sister gave him another one. how many dose gimmy have in all
Answer:
2 apples : )
Step-by-step explanation:
Plz give me ans.
When.
....
Answer:
Step-by-step explanation:
Length : Breadth : height = 3 : 4 : 6
Length = 3x
Breadth = 4x
Height = 6x
Volume of cuboid = 576 sq.cm
length * breadth * height = 576
3x * 4x * 6x = 576
72x³ = 576
x³ = 576/72
x³ = 8
x³ = 2³
x = 2
Length = 3*2 = 6 cm
Breadth = 4* 2 = 8 cm
Height = 6*2 = 12 cm
Total surface area = 2*(lb + bh + hl)
= 2 * (6*8 + 8*12 + 12*6)
= 2 * (48 + 96 + 72)
= 2 * 216
= 432 sq.cm
If a circle is 9 pi cm what is the radius of the circle
Answer:
4.5 cmStep-by-step explanation:
L = 2×π×r
9π cm = 2πr
9 cm = 2r
r = 4.5 cm
38 pounds of tomatoes cost $182.40. How many pounds of tomatoes can you get for $144?
25 pounds
Answer:
30 pounds of tomatos
Step-by-step explanation:
divide 182.4 by 38 to get 4.8.
Then divide 144 by 4.8 to get the answer.