Answer: R=8
Step-by-step explanation:
-7 is added to 1 making it R= 1+7 resulting in R=8
Answer:
[tex]\huge \boxed{R=8}[/tex]
Step-by-step explanation:
[tex]R-7=1[/tex]
Adding 7 to both sides of the equation.
[tex]R-7+7=1+7[/tex]
[tex]R=8[/tex]
How are the ratios 30:12 and 40:16 equivalent
Answer:
see explanation
Step-by-step explanation:
Given the ratio 30 : 12 ( divide both parts by 6 )
= 5 : 2
Given the ratio
40 : 16 ( divide both parts by 8 )
= 5 : 2
Thus the 2 ratios are equivalent and simplify to 5 : 2
What’s 1/3 times 2/5
Answer:
[tex] \boxed{ \bold{ \huge{ \sf{ \frac{2}{15} }}}}[/tex]Step-by-step explanation:
[tex] \sf{ \frac{1}{3} \times \frac{2}{5} }[/tex]
▪️To multiply one fraction by another , multiply the numerators for the numerator , and multiply the denominators for its denominator.
⇒[tex] \sf{ \frac{1 \times 2}{3 \times 5} }[/tex]
⇒[tex] \sf{ \frac{2}{15} }[/tex]
Hope I helped!
Best regards!
What is the value of 9 packs of Sweets if one pack of sweet cost Rs 120.5?
Answer:
1084.5
Step-by-step explanation: 120.5*9 = 1084.5
Answer:
One pack = Rs 120.5
→ Multiply both the brackets and price by 9
9 packets = Rs 1084.5
Graph the interval represented in interval notation on the number line.
(-Infinite, -4] U [6, infinite)
Answer:
The upper reason is your answer.....
simplify- 13= 7x + 4 - 4x simplify- b - 6 + 6b = 27 simplify- 5(5x - 2) = 65 URGENT please answer i will give brainliest
Step-by-step explanation:
1: - 13= 7x + 4 - 4x
Isolate variables.
- 13= 7x + 4 - 4x
-13 = 3x + 4
-3x = 13+4
-3x = 17
x = -17/3
2: - b - 6 + 6b = 27
5b - 6 = 27
5b = 33
b = 33/5
3: - 5(5x - 2) = 65
-25x + 10 = 65
-25x = 55
x = -55/25
x = -11/5
The product of ten and a number
Answer:
10n
Step-by-step explanation:
n represents number, its like using X, since we don't have the information on it, we replace it with a letter.
Answer:
Let the number be n.
10× n =10n.
hope you got thè answer.
a circle has a radius of 7ft. Find the radian measure of the central angle 0 that intyercepts an arc of length 16ft
Answer:
2.29 rads
Step-by-step explanation:
The length of the arc of a circle of radius r is given by;
l = rθ ---------------------------(i)
Where;
l = length of the arc
θ = central angle o that intercepts that arc and measured in radians.
From the question:
l = 16ft
r = 7ft
Substitute these values into equation (i) as follows;
16 = 7θ
Make θ subject of the formula
θ = [tex]\frac{16}{7}[/tex]
θ = 2.29
Therefore, the radian measure of the central angle is 2.29 rads
Find the measure of APBˆ. A. 130 B. 63 C. 50 D. 230
Answer:
65
Step-by-step explanation:
TAB is an isosceles triangle by the point to tangent theorem theorem.
BAT and BAT are congruent because of the isosceles triangle definition.
CAT and ABT are right angles by the tangent theorem.
Thus, CAB and CBA are both 90 - 65 = 25.
ACB is 130 because triangles' angles add up to 180.
APB is one half of ACB by the inscribed angles theorem.
The measure of the arc APB will be 230°. Then the correct option is D.
What is a circle?
It is the circle of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
We know that the tangents are equal.
Then triangle ΔATB is an isosceles triangle.
Then the angle ∠TAB and angle ∠TBA are congruent.
We know that the angle sum of a triangle is 180°.
∠TAB + ∠TBA + ∠ATB = 180°
65° + 65° + z = 180°
z = 50°
We know that the radius and tangent of circle make 90°.
And the angle sum of quadrilateral is 360°.
∠TAC + ∠TBC + ∠ATB + ∠ACB = 360°
90° + 90° + 50° + y = 180°
y = 130°
Then the measure of the arc APB will be
x = 360° – 130°
x = 230°
The measure of the arc APB will be 230°.
Then the correct option is D.
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ2
Hi . I'm kinda stuck on this question .
Help please.
Workings please
Answer:
[tex]\large \boxed{\text{Q31, D. 6.00 F; 32. C. N21.75; Q33. A. 168.00 F}}[/tex]
Step-by-step explanation:
Your graph is hard to read, so I re-drew it as best I could.
You must first develop an equation relating francs and naira.
The line goes through the origin, so the general equation is
y = kx
One of the points is (40,240).
[tex]\begin{array}{rcl}F & = &k \times N\\240 & = &k \times 40\\k & = & \dfrac{240}{40}\\\\k&=&\textbf{6 F/N}\\\end{array}\\\text{The equation is $\large \boxed{\mathtbf{F = 6 N}}$}[/tex]
Q 31.
[tex]\begin{array}{rcl}F & = &6N\\& = & 6 \times 1.00\\& = & \mathbf{6.00}\end{array}\\\text{The equivalent value of N1.00 is $\large \boxed{\textbf{6.00 F}}$}[/tex]
Q 32.
[tex]\begin{array}{rcl}F & = &6N\\130.5& = & 6 N\\N&=& \dfrac{130.5}{6}\\\\& = & \mathbf{21.75}\\\end{array}\\\text{The equivalent value of 130.5 F is $\large \boxed{\textbf{N21.75}}$}[/tex]
Q 33.
[tex]\begin{array}{rcl}F & = &6N\\& = & 6 \times 28.00\\& = & \mathbf{168.00}\end{array}\\\text{An amount of N28.00 is $\large \boxed{\textbf{168.00 F}}$}[/tex]
4(-8x+5) - (-33x-26)
Answer:
Step-by-step explanation:
Use distributive property a(b+c) = a*b +a*c
4(-8x + 5) - (-33x - 26) = 4*-8x + 4 *5 - 33x * (-1) - 26*(-1)
= -32x + 20 + 33x + 26
{add like terms}
= -32x + 33x + 20 +26
= 1x + 46
Find the sum and Express it in simplest form. (-8n^3 + 4n - 8) + (7n^3 - 2n + 6)
Please Help !
Answer:
n^3 + 2n -2
Step-by-step explanation:
Remove the parentheses and simplify:
-8n^3 + 4n - 8 + 7n^3 - 2n + 6
n^3 + 2n -2.
Answer:
Step-by-step explanation:
We have to add the like terms. Like terms are with variables of same power.
-8n³ and 7n³ are like terms , now add the coefficient of n³ , -8 + 7 = -1
-8n³ + 7n³ = -1n³
(-8n³ + 4n - 8) + (7n³ - 2n + 6 )
Combine like terms
= -8n³ + 7n³ + 4n - 2n - 8 + 6
= -1n³ + 2n - 2
x-intercept: 3
y-intercept: 2
Answer:
y = -2/3x + 2
Step-by-step explanation:
Hey there!
Well since we already got the y-intercept to find slope we'll use the points,
(3,0) and (0,2).
Formula: [tex]\frac{y^2 - y^1}{x^2 - x^1}[/tex]
Plug in the given points,
[tex]\frac{2 - 0}{0 - 3}[/tex]
Slope = -2/3
Slope-intercept: y = -2/3x + 2
Hope this helps :)
Answer:
y = -2/3x + 2 or
2x + 3y = 6 (standard form).
Step-by-step explanation:
I am assuming you want the equation of the straight line that passes through these 2 points.
The 2 points are (3, 0 ) and (0, 2).
The slope of the line = (2 - 0) / (0 - 3)
= -2/3.
The equation is y = -2/3x + 2 ( as 2 is the y-intercept).
In standard form this is :
3y = -2x + 6
2x + 3y = 6.
the ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. if the first number of the ratio is 10, what is the second number? justify your reasoning.
Answer:
10:40
Step-by-step explanation:
3x4 = 12
4 x 4 = 16
5 x 4 = 20
so 10 x 4 = 40 (10:40)
Answer:
10:40
Step-by-step explanation:
Step 1: Reduce ratio to lowest value
3 : 12 = 1 : 4
*Divide by 3
Step 2: Solve ratio
Let 'x' represent the second number
1 : 4 = 10 : x
Multiple the left side by 10
10 : 40 = 10 : x
Therefore the second number in the ratio with 10 is 40
why are halves a good choice for benchmark fractions for 1 1/3
Answer:
Following are the answer to this question:
Step-by-step explanation:
For calculating, matching, or arranging certain fractions, the benchmark fraction can be described as common fractions, that can be calculated or judged. It is most useful when measuring fractions to comparisons in a number line.
Given value:
[tex]\to 1 \frac{1}{3}[/tex] [tex]= 1+\frac{1}{3} \\[/tex]
[tex]= 1+ \frac{1}{6}+\frac{1}{6}\\[/tex]
A triangle has a base of (3x + 7) and a height of (5x - 1). A second
triangle is drawn with a base that is tripled and a height that is
doubled. Find the difference between the area of the original triangle
and the area of the new triangle.
Answer:
The difference between the area of the original triangle and the area of the new triangle is [tex]\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)[/tex].
Step-by-step explanation:
The equation for the area of a triangle ([tex]A_{\bigtriangleup}[/tex]) is:
[tex]A_{\bigtriangleup} = \frac{1}{2}\cdot b \cdot h[/tex]
Where:
[tex]b[/tex] - Base, dimensionless.
[tex]h[/tex] - Height, dimensionless.
The expression for each triangle are described below:
First Triangle ([tex]b = 3\cdot x + 7[/tex], [tex]h = 5\cdot x - 1[/tex])
[tex]A_{\bigtriangleup,1} = \frac{1}{2}\cdot (3\cdot x+7)\cdot (5\cdot x -1)[/tex]
Second Triangle ([tex]b = 3\cdot (3\cdot x+7)[/tex], [tex]h = 2\cdot (5\cdot x -1)[/tex])
[tex]A_{\bigtriangleup,2} = 3\cdot (3\cdot x+7)\cdot (5\cdot x -1)[/tex]
The difference between the area of the original triangle and the area of the new triangle is:
[tex]\Delta A_{\bigtriangleup} = A_{\bigtriangleup,2}-A_{\bigtriangleup,1}[/tex]
[tex]\Delta A_{\bigtriangleup} = 3\cdot (3\cdot x+7)\cdot (5\cdot x-1)-\frac{1}{2} \cdot (3\cdot x+7)\cdot (5\cdot x-1)[/tex]
[tex]\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)[/tex]
The difference between the area of the original triangle and the area of the new triangle is [tex]\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)[/tex].
Use the x-intercept method to find all real solutions of the equation.
x^3-6x^2+3x+10=0
Answer:
x=-1 or 5 or 2
Step-by-step explanation:
x³-6x²+3x+10=0
(x+1)(x-5)(x-2)=0
x+1=0 ⇒ x=-1
x-5=0 ⇒x=5
x-2=0 ⇒ x=2
What’s the value of X in this triangle
Answer:
x = 85
Step-by-step explanation:
Step 1: Solve x
∠x = 180 - 27 - 68
∠x = 85
Therefore angle x equals 85
Answer:
85 degrees
Step-by-step explanation:
The sum of the angles of a triangle always add up to 180 degrees.
Here, we have two angles already given, so we can write:
27 + 68 + x = 180
95 + x = 180
Subtract 95 from both sides:
x = 180 - 95 = 85
The answer is thus 85 degrees.
~ an aesthetics lover
4. Using the digits 1 to 9, at most one time each, fill in the boxes to
make a result that has the greatest value possible. HELP PLEASE
Answer:
9^3
Step-by-step explanation:
9x9x9= 729
Find t12 for a geometric sequence where t1=2+2i and r=3
Answer:
[tex]T_{12} = 354294 + 354294i[/tex]
Step-by-step explanation:
Given
Geometric Sequence (GP)
[tex]T_1 = 2 + 2i[/tex]
[tex]r = 3[/tex]
Required
Determine T₁₂
The nth term of a GP is calculated as thus;
[tex]T_n = ar^{n-1}[/tex]
In this case;
[tex]n = 12[/tex]; [tex]r = 3[/tex] and [tex]a = T_1 = 2 + 2i[/tex]
Substitute these values in the above formula
[tex]T_{12} = (2 + 2i) * 3^{12-1}[/tex]
[tex]T_{12} = (2 + 2i) * 3^{11}[/tex]
[tex]T_{12} = (2 + 2i) * 177147[/tex]
Open the bracket
[tex]T_{12} = 177147 * 2 + 177147 * 2i[/tex]
[tex]T_{12} = 354294 + 354294i[/tex]
Hence, the 12th term of the sequence is [tex]T_{12} = 354294 + 354294i[/tex]
a mouse runs across a 5.56 m kitchen floor in 3.42 seconds.What is the velocity of the mouse?
Answer:
v = 1.62 m/s
Step-by-step explanation:
Given that,
Distance covered by the mouse is 5.56 m is in 3.42 seconds.
We need to find the velocity of the mouse. It is equal to the total distance covered divided by time taken. So,
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{5.56\ m}{3.42\ s}\\\\v=1.62\ m/s[/tex]
So, the velocity is 1.62 m/s.
what is 6, 400 written in scientific nation?
Answer:
6.4 x 10 to the power of 3
Step-by-step explanation:
always have 1 number after the decimal point and then times by ten to the power of 3.
Answer:
64x10²
Just move it to the left 2 times.
What is this decimal expressed as a percent?
Answer:
13%Step-by-step explanation:
To fraction ;
[tex]0.13=\frac{0.13\times \:100}{100}\\\\=\frac{13}{100}[/tex]
To percentage
[tex]\frac{0.13}{1}\times \frac{100}{100}\\ \\= 13/100\\\\= 13\%[/tex]
Which statement is NOT true about elements of
the set of rational numbers?
F All integers are elements of the set.
G Elements of the set include repeating and
terminating decimals.
H All elements of the set can be written as a
ratio , where b# 0.
J The numbers i and V3 are elements of the
set.
Answer:
The numbers i and V3 are elements of the set.
Step-by-step explanation:
The rational numbers are those which can be written as fractions. These are the numbers which can be repeating elements and terminating decimals. All integers can be set of rational numbers. The statements which is not true is statement which states that numbers i and V3 are elements of the set.
What is Equivalent to the square root of 16
Answer:
4
Step-by-step explanation: 4*4 is 16. 4^2 is 16. So the square root of 16 is 4.
Answer:
4
Step-by-step explanation:
4 times 4 = 16, therefore the square root of 16 must be 4
PLEASE HELP ME ASAP ILL MARK BRIANLIEST!!!!!!!!! ANSWER THE QUESTIONS AND DO THE STEPS TOO PLEASEE
Answer:
1). t ≥ -[tex]\frac{3}{2}[/tex]
2). k ≥ [tex]\frac{16}{3}[/tex]
3). y < -[tex]\frac{1}{2}[/tex]
4). b > [tex]\frac{250}{9}[/tex]
5). w ≤ 0
Step-by-step explanation:
1). [tex]14(\frac{1}{2}-t)\leq 28[/tex]
[tex]\frac{14}{14}(\frac{1}{2}-t)\leq \frac{28}{14}[/tex]
[tex]\frac{1}{2}-t\leq 2[/tex]
[tex]-t\leq 2-\frac{1}{2}[/tex]
[tex]-t\leq \frac{3}{2}[/tex]
t ≥ -[tex]\frac{3}{2}[/tex]
2). 15k + 11 ≤ 18k - 5
15k - 18k ≤ -5 - 11
-3k ≤ - 16
3k ≥ 16
k ≥ [tex]\frac{16}{3}[/tex]
3). 44y > 11 + 88y - 22y
44y > 11 + 66y
44y - 66y > 11
-22y > 11
22y < -11
[tex]\frac{22y}{22}<-\frac{11}{22}[/tex]
y < [tex]-\frac{1}{2}[/tex]
4). [tex]\frac{7}{9}(b - 27) > \frac{49}{81}[/tex]
[tex]\frac{7}{9}(b - 27)\times \frac{9}{7} > \frac{49}{81}\times \frac{9}{7}[/tex]
(b - 27) > [tex]\frac{7}{9}[/tex]
b > [tex]\frac{7}{9}+27[/tex]
b > [tex]\frac{250}{9}[/tex]
5). 11w - 8w ≥ 14w
3w - 14w ≥ 0
-11w ≥ 0
w ≤ 0
1.1.17
Question Help
Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
6/7
Answer:
whole number is the answer
Find the missing number to make these fractions equal.
Answer:
66/8 = 3/4Step-by-step explanation:
Let the unknown number be x
[tex]\frac{3}{4} = \frac{x}{8} \\\\Cross \: Multiply\\4\times x = 3 \: \times 8\\\\4x =24\\\\Divide \:both\:sides \:of\:the\:equation\: by\: 4\\\frac{4x}{4} = \frac{24}{4} \\\\x = 6[/tex]
Answer:
6
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] = [tex]\frac{?}{8}[/tex]
The 4 on the denominator is multiplied by 2 to obtain 8
The same operation must be applied to the numerator to make them equal.
Thus
3 × 2 = 6
[tex]\frac{3}{4}[/tex] = [tex]\frac{6}{8}[/tex] ← are equal fractions
What are the next three terms in this arithmetic sequence? 33, 27, 21,...
A: 15, 9, 3
B: 14, 8, 2
C: 15, 9, 2
D: 15, 10, 5
Answer:
15,9,3
Step-by-step explanation:
The product of six and a number increased by six?
Answer: 6•(n+6)
Step-by-step explanation:
n is number
can be any letter
Answer:
6(n+6)
Step-by-step explanation:
the product means multiplication so you're going to need to multiply 6 by the number increased by 6. n represents the number, so n increased by 6 would be n+6. the parentheses represent the multiplication. put it together and you get the answer 6(n+6)
Find the value of a. Then find the angle measures of the polygon.
a =
26
(2aº caº
a
Sum of angle
measures: 360°
Answer:
In the given quadrilateral, two angles measure 60° and other two angles measure 120°.
Step-by-step explanation:
As we know sum of all interior angles of a polygon with 'n' sides is,
Sum of interior angles = (n - 2) × 180°
= (4 - 2) × 180° [for a polygon with n = 4]
= 360°
a + a + 2a + 2a = 360°
6a = 360°
x = 60°
Measure of angles = a° = 60°
And angles having measure = 2a° = 2(60)°
= 120°
Therefore, in the given quadrilateral, two angles measure 60° and other two angles measure 120°.