Answer:
Step-by-step explanation:
To properly apply the substitution method, it will be better for us to rearrange the system of equations to have similar variables on the same side
[tex]44 - 4 = -2y ----equation 1[/tex]
[tex]10 = 7x + 4y --- equation 2[/tex]
We can simply evaluate equation 1 to have
[tex]40 = -2y\\y = 40/-2 = -20\\[/tex]
y = -20
From the first equation alone, we can evaluate the value of y as -20. This is because only one unknown is present in equation one, hence a single equation is sufficient enough to evaluate it. If to unknowns were present, the two equations would have been utilized to evaluate the solution.
A recipe calls for 8 ounces of fruit juice for every 32 ounces of soda. How much soda should you use if you use 16 ounces of fruit juice? DO NOT FORGET THE UNITS!
Answer:
64 ounces of soda
Step-by-step explanation:
for every 8 ounces you need 32 ounces of soda and 16 would be two servings of fruit juice so I multiplied 32 by 2 and got 64
Solve the quadratic equation by using either a numeric or a graphic approach.
x2 - 12x – 144 = 0
a. x= -12.4 or x = -7.4
c. x = 9.4 or x = -7.5
b. x = 19.4 or x = -7.4
d. x = 9.4 or x = -3.4
Answer:
B
Step-by-step explanation:
The measure of ZA Is 12° greater than the measure of ZB. The two angles are complementary. Find the measure of each angle. . The mZA IS and m/B Is
Answer:
m∡ZA = 51°
m∡ZB = 39°
Step-by-step explanation:
∡ZB = 'b'
∡ZA = '12 + b'
b + 12 + b = 90
2b + 12 = 90
2b = 78
b = 39
12 + 39 = 51
Surface area of a triangular prism
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
13 in
12 in
5 in
6 in
1
K
N
M
If I and Mo are parallel lines and mZIKI = 42°, what is mZMNP?
A spinner is made of three equal sections blue green and red if I spend spend 180 times how many times I expect to get red as outcome
Algebra 1
No links
Answer fast
A-124
B-80
C-76
D-66
Answer:
B)
Step-by-step explanation:
x+36=102
x=102-36
x=66
Therefore, substitute x in your formula for x+14
66+14
find the value of x. round to the nearest degree
Not drawn to scale
Answer:
[tex]cos x =\frac{adjacent}{hypotenuse} = \frac{11}{20}\\\\x = cos^{-1} (\frac{11}{20} ) = 56.63[/tex]
x= 57°
10 (-2 + 3y) + 8y = -20
Ms. Green has 3 % yards of fabric. One bandana requires 1/4 of a yard of fabric. How many bandanas can
she make until she runs out of fabric?
Answer:
12
Step-by-step explanation:
number of bandana that can be made = total yards of fabric ÷ yards needed to make one bandanna
3 ÷ 1 /4
= 3 x 4 = 12
The school's computer lab goes through 3 reams of printer paper every 4 weeks. Find out how long 5 cases of printer paper is likely to last (a case of paper holds 8 reams
The 5 cases will last weeks
(Round to the nearest whole number as needed.
Answer:
53 weeks
Step-by-step explanation:
Given :
Reams of paper used :
3 reams = 4 Week
A case of 5 paper = 8 reams
Hence,
5 cases of paper = (8 * 5) = 40 reams
If :
3 reams = 4 weeks
40 reams = x
Cross multiply :
3x = 40 * 4
3x = 160
x = 160 / 3
x = 53. 333
Approximately 53 weeks (nearest whole number)
Gun rights vs. gun control: In a December 2014 report, "For the first time in more than two decades of Pew Research Center surveys, there is more support for gun rights than gun control." According to a Pew Research survey, 52% of Americans say that protecting gun rights is more important than controlling gun ownership. Gun rights advocates in a conservative city believe that the percentage is higher among city residents.
They survey 200 city residents and find that 130 say that protecting gun rights is more important than controlling gun ownership. What is the test statistic?
Z = -3.68
Z = 3.68
Z = -3.85
Z = 3.85
Answer:
The right answer is "z = 3.68".
Step-by-step explanation:
Given that,
p = 52%
or,
= 0.52
n = 200
[tex]\hat{p}= \frac{130}{200}[/tex]
[tex]= 0.65[/tex]
Now
The test statistic will be:
⇒ [tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
On substituting all the given values, we get
⇒ [tex]=\frac{0.65-0.52}{\sqrt{\frac{0.52(1-0.52)}{200} } }[/tex]
⇒ [tex]=\frac{0.13}\sqrt{{\frac{0.52\times 0.48}{200} }}[/tex]
⇒ [tex]=\frac{0.13}{\sqrt{0.001248} }[/tex]
⇒ [tex]=3.68[/tex]
What is the mortgage loan value on a $375,000 home if 20% is paid as a
down payment?
$325000
$375000
$75000
$300,000
Answer:
$300000
Step-by-step explanation:
down-payment would $75000 so minus it from $375000 to get the mortgage
Answer:300000
Step-by-step explanation:
375000/100 =3750
1 percent = 3750
20 percent = 3750*20=75000
375000-75000= 300000
If it is helpful t
The sum of 2 numbers is 82 and one exceed the other by 40.what are the number 2
Answer:
If you are asked to work out the product of two or more numbers, then you need to multiply the numbers together. If you are asked to find the sum of two or more numbers, then you need to add the numbers together.
Step-by-step explanation:
A rectangular garden has length and width as given by the expressions below.
Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
__ -__x-__y-__xy
Answer:
[tex]P = 8 - 42x + 56y + 12xy[/tex]
Step-by-step explanation:
Given
[tex]Length = 4 - 7(3x + 4y)[/tex]
[tex]Width = 3x(2y)[/tex]
Required
The perimeter (P)
This is calculated as:
[tex]P = 2 * (Length + Width)[/tex]
[tex]P = 2 * (4 - 7(3x + 4y) + 3x(2y))[/tex]
Open bracket
[tex]P = 2 * (4 - 21x + 28y + 6xy)[/tex]
Open bracket
[tex]P = 8 - 42x + 56y + 12xy[/tex]
Estimate the sum by rounding each number
to the nearest hundredth: 0.052 +0.028
A 0.06
B 0.08
0.09
D 0.07
Answer:
B is the answer to the question.
Step-by-step explanation:
Patricia needs 2 pints of purple icing to decorate cupcakes. She will use the following recipe for 1 pint of purple icing.
· 1 pint of white icing
· 4 1/4 teaspoons of blue food coloring
· 2 1/2 teaspoons of red food coloring.
Explain two different ways for Patricia to find the total number of teaspoons of blue and red food coloring necessary to make the 2 pints of purple icing. (Do not solve the problem.)
Answer:
double
Step-by-step explanation:
double the teaspoons so you can get the amount you need for 2 pints
double the amount and then divided it
What is the perimeter of the figure?
A. 34 cm
B. 36 cm2
C. 36 cm
D. 34cm2
Answer:
A. 34cm
Step-by-step explanation:
PLEASE HELP I NEED TO GRADUATE!!!!!!Drag each title to the correct location.
Match the mortgage types with their descriptions.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please solve and hurry
Answer:
225°
Step-by-step explanation:
[tex] \frac{5\pi}{4} = \frac{5 \times 180 \degree}{4} = \frac{900 \degree}{4} = 225 \degree \\ [/tex]
Which statement describing this experiment is true?
An experiment is proposed to measure the
effectiveness of a brand of sunscreen. Adult volunteers
are randomly assigned to one of two brands of
sunscreen and asked to enjoy a normal day at the
beach. Each volunteer is asked to report back to the
administrators after two hours, at which time both arms
are assessed for sun exposure.
O The volunteers are the explanatory variables.
O. The brands of sunscreen are the response
variables.
O The amount of time in the sun is the response
variable.
O The brands of sunscreen are the explanatory
variables.
Answer:c
Step-by-step explanation:
Answer:
B i think
Step-by-step explanation:
Stole the picture off a website (which can not be named here lol)
xy^-3 is equivalent to ______
Answer:
xy3 your welcome tell me if I got it right ✅
Last summer, Marion was 3 1/2 feet tall. She was 4 inches taller than her brother Elijah. She was 1 1/4 feet shorter than her sister Lorie. How tall were Elijah and Lorie last summer?
1 foot = 12 inches
Solution:
Elijah:
inches
Lorie:
inches
NO LINKS
Answer:
Answers below
Step-by-step explanation:
Marion: 42 inches
Elijah: 38 inches
Lorie: 57 inches
Convert each to inches and solve.
Hope this helps!
The space club is printing posters for an upcoming competition. The
printer charges $200 plus $2 for every poster. How many posters can be
printed for $950?
Answer:
375 posters can be printed for $950
Step-by-step explanation:
First, create an equation. X = number of posters: 200+2x=950
Second, subtract 200 from both sides to get an equation of: 2x=750
Third, divide 2 on both sides to get: x = 375
What is the factorization of the polynomial graphed below? Assume it has no
constant factor. Write each factor as a polynomial in descending order.
Answer:
see below
Step-by-step explanation: 5 25 14 16
the graph shows the roots of the polymonimal to be
x = 0 and x - 4 = 0 x = 4 when y or f(x) = 0
f(x) = x(x-4) = x² - 4x
f(x) = x² - 4x
when x = 0 f(x) = 0
x = 2 f(x) = 2² - 4(2) = -4
x = 4 f(x) = 4² - 4(4) = 0
The factorization of the polynomial graphed are,
⇒ y = x (x - 5)
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, We have been given graph of polynomial.
This is in parabolic shape.
So, this is graph of quadratic function.
Hence,, there will be two zeroes.
And also number of zeroes of a function is equal to the number of times graphs cuts x-axis
Here, we can see graph cuts at (0,0) and (5,0).
So, the Factors will be:
(x - 0) and (x - 5).
Since, If x = 0 is a zero then it means factor will be (x)
Similarly, If x = 5 is a zero then it means factor will be (x-5).
Thus, the factorization of the polynomial graphed are,
⇒ y = x (x - 5)
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
What does an equal sign mean mathematically?
Answer:
It means that the both sides of the expression in the given equation must be/are congruent.
Hope this helps!
Yo can someone help me out
Answer:
theres an black screen
Step-by-step explanation:
mark as brainliest!!
Answer:
Cant see the image
What is the value oh x?
Answer:
x
Step-by-step explanation:
djdndjdjdndjdkdjdnfnfjfndndndn b7h
Find the length of NL.
Answer:
8
Step-by-step explanation:
By intersecting chords theorem:
[tex]4x = 2 \times 8 \\ \\ 4x = 16 \\ \\ x = \frac{16}{4} \\ \\ x = 4 \\ [/tex]
NL = 4 + x = 4 + 4 = 8
What would you add to 1/6 to get 2/3
Answer:
0.5 or [tex]\frac{1}{2}[/tex]
Step-by-step explanation: