Answer: [tex]\huge\boxed{x=3\frac{1}{3} \quad ;\quad y=-3}[/tex]
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol+\ \left \{ {{6x+4y=8} \atop {-4y=12}} \right. \Longrightarrow\\\\\\ 6x+ 4y\!\!\!\!\!\diagup-4y\!\!\!\!\!\diagup=12+8 \\\\6x=20 \\\\x=\frac{20}{6} =\frac{10}{3} =3\frac{1}{3} \quad ; \quad y=-3[/tex]
Marlena is one-sixth the age of her mom. If Marlena is 5 years old, how old is her mom?
Answer:
30 years old
Step-by-step explanation:
If marina is one sixth of her mom age, and she is five years old. The multiply five times size to get her moms full age.
Answer:
30 yearsStep-by-step explanation:
Let,
Age of her mom be = x
Age of Marlena
[tex] = \frac{1}{6} x[/tex]
We know that,
Age of Marlena is 5 years
Therefore,
By the problem,
[tex] = > \frac{1}{6} x = 5[/tex]
=> x = 5 × 6
=> x = 30
Hence,
Age of her mother is 30 years (Ans)
If PN=14, NO=20, PO=16, QR=55, and SR=44, find the perimeter of ΔQRS. Round your answer to the nearest tenth if necessary
Answer:
The perimeter of QRS is 137.5
Step-by-step explanation:
From the given interval angles, we can see that the two triangles are congruent
so it is expected that the ratios of their corresponding sides are equal
this is because; 83 + 53 + 44 = 180
Now, let us work with the side facing the angle marked 53 in both triangles
For the smaller, we have the measure as 16
for the bigger, we have the measure as 44
So the scale factor here is 44/16 = 11/4 = 2.75
We have to multiply the measure of the sides of the smaller triangle by 2.75 to get that of the bigger triangle
in similar vein, we have to multiply the perimeter we have in the smaller triangle by 2.75 to get that of the bigger triangle
The perimeter of the smaller would be the sum of the side lengths
we have this as;
14 + 20 + 16 = 50
So the perimeter of the bigger triangle would be;
2.75 * 50 = 137.5
help asap please ----------------
Answer:
-1 Not in domain
0 In domain
1 In domain
Step-by-step explanation:
The domain for the square root function is all positive numbers including (0). The domain is the set of real numbers which when substituted into the function will produce a real result. While one can substitute a negative number into the square root function and get a result, however, the result will be imaginary. Therefore, the domain for the square root function is all positive numbers. It can simply be expressed with the following inequality:
[tex]x\geq0[/tex]
Therefore, one can state the following about the given numbers. Evaluate if the number is greater than or equal to zero, if it is, then it is a part of the domain;
-1 => less than zero; Not in domain
0 => equal to zero; In domain
1 => greater than zero: In domain
In general, what can you say about the difference when you subtract a larger integer from a smaller integer?
Answer:
To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative. If the signs are different subtract the smaller absolute value from the larger absolute value
I need help plsss, check all that apply
Determine the length of AC.
16.7 units
18.9 units
3.4 units
19.4 units
Answer:
16.7 units
Step-by-step explanation:
To get AC, we can use the sine rule here
BC/sine 86 = AC/sin 68
18/sine 86 = AC/sine 68
AC = (18 * sine 68)/sine 86
AC =16.73 units
What is the reason for statement 3 in this proof?
Answer:
A. Definition of angle bisector
Step-by-step explanation:
Given that ΔABC is an isosceles triangle where AB = BC, and that BD bisects ∠ABC, then by the definition of angle bisection of ∠ABC, we have;
m∠ABD = m∠CBD
The correct option is option A. Definition of angle bisector
Also, given that ΔABC is an isosceles triangle and BD is the angle bisector of ∠ABC, we get;
AD = CD and BD = BD
We can therefore, also find that ΔABD ≅ ΔCBD by Side Side Side (SSS) rule of congruency
help me pls i don't ge this
Answer:
9. The area of rectangle S is four times bigger than rectangle R
10. (1, 3)
Step-by-step explanation:
To find the solution of the two linear equations:
y=x+2
y=-2x+5
x+2=y=-2x+5
3x=3
x=1
y=1+2
y=3
(1,3)
PLEASE HELP!!! What is the volume of the solid? Let π=3.14.
A. 5,425.92 m3
B. 2,1714.7 m3
C. 8,131.09 m3
D. 3,214.54 m3
Answer:
A. 5,425.92 m3
Step-by-step explanation:
Radius = 24m
Length = 12m
Volume = Area * Length
Area = π * (radius ^2)
Radius = Diameter / 2
Radius = 24m / 2 = 12m
Area = π * (12m^2)
Area = 3.14 * 144 = 452.16m
Volume = 452.16m * 12m
Volume = 5425.92m3
PLS PLS PLS PLS PLS PLS PLS HELP I DON'T GET IT!!! Write missing monomials to make an identity:
A) (.....+2a)^2=.....+12ab+4*....
B) (3x+.....)^2=....*x^2+.....+49y^2
Answer:
wow man that is crazy
Step-by-step explanation:
Express tan J as a fraction in simplest terms
Answer:
3/4
Step-by-step explanation:
tangent is opp/ad
so that is 15/20, or 3/4
What is the system of equations shown in the graph
Answer:
D)
y = - x + 1
y = -1/4 +2
Step-by-step explanation:
The equation of a linear graph: y = mx + b
The red graph is going down, so it would mean the m value is negative (-). This cancels options A) and C). The red graph also moves one unit up the y-axis which means the b is one (1). So the equation would be y = - x + 1.
The blue graph is also going down, so it would mean the m value is negative (-). This means it could be options B) or D). But, the blue graph also moves two units up the y-axis, which means the b is two (2). So the equation would be y = - 1/4x + 2.
How many 1/4 cup servings are there in 2 cups of raisins?
Last week Cam's Ice Cream Shop sold 52 chocolate chip ice cream cones out of total of 997 ice cream cones. Based on this data, what is a reasonable estimate of the probability that the next ice cream cone sold is a chocolate chip ice cream cone?
Answer:
52/997
Step-by-step explanation:
YALL THIS IS CORRECT I PROMISE.
KHAN ACADEMY
The required probability of the next ice cream cone sold is a chocolate chip ice cream cone is 0.1.
Cam's Ice Cream Shop sold 52 chocolate chip ice cream cones out of a total of 997 ice cream cones. The probability that the next ice cream cone sold is a chocolate chip ice cream cone is to determine.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Cam's Ice Cream Shop sold 52 chocolate chip ice cream cones = 52
total of 997 ice cream cones = 997
The probability of the next ice cream cone sold being a chocolate chip ice cream cone = 52 / 997
= 0.1
Thus, the required probability of the next ice cream cone sold is a chocolate chip ice cream cone is 0.1.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
What is the scale of the y-axis in this coordinate graph?
A. 1 tick mark represents 1 unit
B. 1 tick mark represents 8 units
C. 1 tick mark represents 12 units
D. 1 tick mark represents 16 units
Answer:
Obviously B
Step-by-step explanation:
Can someone help me with this math homework please!
Step-by-step explanation:
The second equation
[tex]2.4x = 1.2x + 15[/tex]
is the answer for the 1st picture.
2nd, solve for x.
[tex]1.2x = 15[/tex]
[tex]x = 12.5[/tex]
You cant create half a page so let lower it down to 12.
12 is the answer for the second answer.
Identify the equivalent expressions of 4(2x + x – 3) – 3x + 3.
Answer:
9x - 9
Step-by-step explanation:
4(2x + x - 3) - 3x + 3
Simplify the expression, combine like terms in the parenthesis,
4(3x - 3) - 3x + 3
Distribute, multiply every term inside the parenthesis by the number outside of it;
(4)(3x) + (4)(-3) - 3x + 3
Simplify,
12x - 12 - 3x + 3
Combine like terms,
12x - 12 - 3x + 3
9x - 12 + 3
9x - 9
what is the inverse function f f(x)=radical x +7
Step-by-step explanation:
by switching the places of x and y ans solving for y
Please hurry I will mark you brainliest
Answer:
1 and 3
i hope this helps
. Evaluate the function rule for the given value.
y = 4.2xfor x = -6
Answer:
y= 4 x 2(6)
y= 4 x -12
y= -48
Step-by-step explanation:
y= 4 x 2(6)
y= 4 x -12
y= -48
Pa-follow po
Thank you
What are the maximum and minimum of the function f(x) = 0.9 I -(x - 5) I + 7 ? A. Maximum at (5,7) and minimum at (0,0) B. Minimum at (5,7) and no maximum C. Minimum at (0,0) and no maximum D. Maximum at (5,7) and no minimum
Answer:
[tex]Minimum = (5,7)[/tex]
No maximum
Step-by-step explanation:
Given
[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]
Solving (a): The minimum
The minimum is when the absolute parameter gives 0
i.e.
[tex]0.9|-(x - 5)| =0[/tex]
Divide both sides by 0.9
[tex]|-(x - 5)| =0[/tex]
Open bracket
[tex]|-x + 5| =0[/tex]
Remove absolute sign
[tex]-x + 5 =0[/tex]
Collect like terms
[tex]x = 5[/tex]
Then the y value is:
[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]
Recall that: [tex]0.9|-(x - 5)| =0[/tex]
So, we have:
[tex]f(x) = 0 + 7[/tex]
[tex]f(x) = 7[/tex]
Hence, the minimum is at: [tex](5,7)[/tex]
Since the minimum is at [tex](5,7)[/tex], then the graph will open upwards.
Hence. the function has no maximum; i.e.
[tex]Maximum = (\infty,\infty)[/tex]
Given triangles MNP and QRP are similar triangles, and side MN equals 16 in and QR equals 48 in, what is the scale factor of the dilation from triangle MNP to QRP? "
Answer:
Scale Factor 3
Step-by-step explanation:
According to the Question,
Given That, triangles MNP and QRP are similar triangles, and side MN equals 16 in and QR equals 48 .Therefore, the scale factor of the dilation from triangle MNP to QRP is
Scale Factor = QR/MN ⇒ 48/16 ⇒ Scale Factor 3A picture which measures 30cm by 40cm is surrounded by a frame which is 11/2 wide. find the area of the frame
Activity 2. pls just give me the formula or answer this, it really help me
Answer:
X= sin (56) . 17) hope this helps
simplify 3[(15-3)^2 + 4]
Answer:
444
Step-by-step explanation:
3 [ ( 15 - 3 )^2 + 4 ]
= 3 [ ( 15 - 3 )^2 + 4 ]
= 3 [ ( 12 )^2 + 4 ]
= 3 [ 144 + 4 ]
= 3 [ 148 ]
= 444
Step-by-step explanation:
3(15-3)²+4
3(12)²+4
3×144+4
432+4
436 Answer
John wants to study whether a larger number of laptops available to students at his school lead to higher grades. Choose the independent and dependent variable. Group of answer choices Independent variable: Grades; Dependent variable: Number of laptops Independent variable: Number of laptops; Dependent variable: Grades Independent variable: John; Dependent variable: Grades Independent variable: Grades; Dependent variable: John
Answer:
Independent variable: Number of laptops
Dependent variable: Grades
Step-by-step explanation:
According to the Question,
Given That, John wants to study whether a larger number of laptops available to students at his school lead to higher grades.The independent variable is the cause. Its value is independent of other variables in your study. Independent variable: Number of laptops The dependent variable is the effect. Its value depends on changes in the independent variable. Dependent variable: Grades3 years later a mother will be 4 times as
old as her son. 3 years ago ,the mother age was two times as old as her son age will be 8 years hence. What are their present ages?
Answer:
33 and 6 yearsStep-by-step explanation:
Mother's age = mSon's age = s3 years later:
m + 3 = 4(s + 3) ⇒ m = 4s + 12 - 3 = 4s + 93 years ago:
m - 3 = 2(s + 8) ⇒ m = 2s + 18 + 3 = 2s + 21Solve for s by substitution:
4s + 9 = 2s + 212s = 12s = 6Find the value of m:
m = 4*6 + 9 = 33Mother is 33 and son is 6
if you want to make some money and do my acellus academy math and science subject in 1 day ill pay $25 dollars
Answer:
no tHank you hope someone can help
Step-by-step explanation:
The equation px²+px+3q=1+2x has roots 1/p and q
(a) Find the values of p and of q
Answer:
p = 2/3
q = 1/2
Step-by-step explanation:
The given equation is ,
[tex]\sf\to px^2 + px + 3q = 1 + 2x [/tex]
We can write it as ,
[tex]\sf\to px^2 + px + 3q - 1 -2x=0 [/tex]
Rearrange the terms ,
[tex]\sf\to px^2 - 2x + px + (3q -1)=0 [/tex]
This can be written as ,
[tex]\sf\to px^2 + x ( p - 2) + (3q -1) =0[/tex]
Now wrt Standard form of a quadratic equation ,
[tex]\bf \implies ax^2+bx + c = 0 [/tex]
we have ,
a = p b = p - 2 c = 3q - 1We know that product of zeroes :-
[tex]\to \sf q \times \dfrac{1}{p} = \dfrac{3q-1}{p } \\\\\sf\to 3q - 1 = q \\\\\sf\to 2q = 1 \\\\\sf\to \boxed{ q =\dfrac{1}{2}}[/tex]
Sum of roots :-
[tex]\to \sf q + \dfrac{1}{p} = \dfrac{2-p}{p} \\\\\sf\to \dfrac{ qp + 1}{p}= \dfrac{2-p}{p} \\\\\sf\to qp + 1 = 2 - p \\\\\sf\to p/2 + p = 1 \\\\\sf\to 3p/2 = 1 \\\\\sf\to \boxed{ p =\dfrac{2}{3}}[/tex]
Solve for x. Round to the nearest tenth, if necessary.
Hi there!
1. Trigonometric Ratio
For this question, we will be knowing legs or sides of the right triangle and its ratio. Trigonometric Ratio or Trigonometry is very useful when it comes to solve for legs or sides. Because it has something to do with angles.Currently, there are 6 Trigonometric Ratios. 2 ratios are the main topic which are sine and cosine. Both can be shortened as sin, cos. While the other 4 ratios are defined by these two ratios.
2. Adjacent, Hypotenuse, Opposite
There are 3 sides in a right triangle. Opposite is a side or length of a triangle that is opposite of a specific angle. For example in the picture. CD is opposite of 65 degrees. ED is opposite of angle C.Adjacent is a leg or we can call it a base of right triangle.Hypotenuse is the longest side of right triangle according to Pythagorean Theorem. It is also the opposite of right angle.3. Using Cosine Ratio
Cosine Ratio is defined as adjacent to hypotenuse or adjacent/hypotenuse. Since we focus on the 65 degree. We can conclude that the adjacent side is x and the hypotenuse side is 7.Cosine Ratio is:
[tex] \large \boxed{ \tt{ cos 65 \degree= \frac{x}{7} }}[/tex]
For this part, use the calculator to find the value of cos65 degrees. When you put cos65 degree in a calculator, you should get 0.42261826... round to the nearest tenth as we get 0.4
Hence, the new equation is:
[tex] \large{0.4 = \frac{x}{7} }[/tex]
4. Solve The Equation
The best way to deal with decimal number when solving the equation is to multiply the whole equation by 10. Because we want to turn 0.4 to 4 which will be easier in solving the equation.[tex] \large{0.4 \times 10 = \frac{x}{7} \times 10} \\ \large{4 = \frac{10x}{7} }[/tex]
Multiply 7 both sides to get rid of the denominator.
[tex] \large{4 \times 7 = \frac{10x}{7} \times 7} \\ \large{28 = 10x}[/tex]
Divide both sides by 10 so we can finally isolate x.
[tex] \large{ \frac{28}{10} = \frac{10x}{10} } \\ \large{ \frac{28}{10} = x}[/tex]
Since the denominator is 10. We can convert to the decimal as 2.8
[tex] \large \boxed{ \tt{2.8 = x}}[/tex]
Because you want the nearest tenth then 2.8 is your answer!
5. Final Answer
x = 2.8