The product of three and five-sevenths is given by (D) Fifteen sevenths.
In fraction multiplication, we multiply the corresponding position like we multiply numerator with numerator and denominator with another denominator.
The denominator for a whole number is always 1.
Here given the numbers are three and five-sevenths, that is [tex]3,\frac{5}{7}[/tex].
So here since 3 is a whole number then the denominator of it is 1.
We can write 3 as [tex]\frac{3}{1}[/tex].
So product [tex]=\frac{5}{7}\times\frac{3}{1}=\frac{5\times3}{7\times1}=\frac{15}{7}[/tex]
Using the fraction model we get,
Here we can see that there are three bars with seven divisions in which fives are shaded.
So in multiplication with three we have to take the shaded region as the numerator and have to all the shaded and total bar for once.
here a total number of divisions in one bar is 7, so the denominator of the product is 7.
A total number of shaded divisions is 15, so the numerator of the product is 15.
So the product is [tex]\frac{15}{7}[/tex], that is fifteen sevenths.
Hence the correct option is (D) Fifteen sevenths.
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What is the sum of 4 + (-6)?
Answer:
-2
Step-by-step explanation:
4 + (-6) = -2
NEED HELP ASAP PLS!! Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. With reference to the figure, match the angles and arcs to their measures?
Answer:
1) 122 = Angle DFA
2) 144 = Angle COB
3) 124 = CE
4) 58 = EOB
Step-by-step explanation:
I think this is correct. Correct me if im wrong
Match the verbal expression (term) with its algebraic expression (definition).
Match Term Definition
d
Some number increased by two A) a ÷ 2
c
A variable decreased by two B) y2
e
Product of an unknown value and two C) x − 2
2
Quotient of some number and two D) b + 2
b
An unknown value squared E) 2z
The matching of definitions and terms are done below.
Some number increased by two ⇒ b + 2A variable decreased by two ⇒ x – 2Product of an unknown value and two ⇒ 2zQuotient of some number and two ⇒ a ÷ 2An unknown value squared ⇒ y²What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Match the verbal expression (term) with its algebraic expression (definition).
Some number increased by two ⇒ b + 2
A variable decreased by two ⇒ x – 2
Product of an unknown value and two ⇒ 2z
Quotient of some number and two ⇒ a ÷ 2
An unknown value squared ⇒ y²
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2.8 + 32x + 1 =16.6
Answer:
x = 0.4Step-by-step explanation:
Assuming you are looking for x
2.8 + 32x + 1 = 16.6
32x = 16.6 - 2.8 - 1
32x = 12.8
x = 12.8 : 32
x = 0.4
-----------------------
check
2.8 + 32 * 0.4 + 1 = 16.6
2.8 + 12.8 + 1 = 16.6
16.6 = 16.6
the answer is good
Mr. avanzado has an underground in his house. what unit of measure will he use to find its value
Answer: Volume
Step-by-step explanation:
Describe the steps you used to solve the equation and
find the amount of Carrie's allowance.
Linear equation: 1/4a+1/3a+8=22
Answer:
a=24
Step-by-step explanation:
Start by subtracting 8 from both sides giving:
1/4a+1/3a=14
Then find a common denominator between the two a terms which is 12 giving:
3/12a+4/12a=14
Combine the two terms:
7/12a=14
Then divide by 7/12 giving you a=24
Find the value of the lettered angle b
Answer:
60°Step-by-step explanation:
30 is an opposite angle (2 angles of 30°)
sum of all angles = 360°
360 - 90 -30 - 150 - 30 = 60°
check
60 + 30 + 150 + 30 + 90 = 360°
the answer is good
Answer:
b = 60
Step-by-step explanation:
A straight line is 180 degrees
30+90+b = 180
Combine like terms
120 +b = 180
b =180-120
b = 60
Find the rate of change of the linear function shown in the graph. Then find the initial value.
rate of change is change in y / change in x
(-1 - -3)/ (0 - -6) = 2/6 = 1/3
initial value is the y value when x is 0 , which is -1
slope of (0,1) and (4,3)
Answer:
1/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-1)/(4-0)
m=2/4
m=1/2
The slope of the given points (0,1) and (4,3) will be ( 1 / 2 ).
What is the slope of the line?
The increase divided by the run, or the ratio of the rise to the run is known as the line's slope. In the coordinate plane, it describes how steep a line is.
The slope of the line is calculated by the formula given below:-
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{3-1}{4-0}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
Therefore the slope of the given points (0,1) and (4,3) will be ( 1 / 2 ).
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5. A, b, c plsssssss rn
5a. a° = 128°
5b. b° = 1.3°
5c. c° = 341°
How to determine the unknown sides5a
a° = 128°
This is because parallel angles are equal and angles a° and 128° are parallel to each other
5b
Angles (4b-10)° and (2b - 2)° are equal.
This is because alternate angles are equal and they are alternate to each other
To find b , equate both angles
4b - 10 = 2b - 2
collect like terms
4b + 2b = -2 + 10
6b = 8
Make 'b' subject of formula
b = 8/6
b = 1.3°
5c.
c° is at angle at a point.
19° is alternate to the other part of the point
We have, c° + 19° = 360° (angle at a point)
c° + 19° = 360°
Make 'c' subject of formula
c° = 360° - 19°
c° = 341°
Thus, the unknown angles are given as a = 128°, b = 1.3°, c = 341°
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Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
Answer:
D
Step-by-step explanation:
True OR False
---------------------
x + 65 = 87, x = 27?
Answer:
False
Step-by-step explanation:
27+65=92, so false
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: False[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: x + 65 = 87[/tex]
[ subtract 65 on both sides ]
[tex]\qquad \tt \rightarrow \: x + 65 - 65 = 87 - 65[/tex]
[tex]\qquad \tt \rightarrow \: x = 22[/tex]
but according to the statement it says, x = 27
which is proved wrong.
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Question 9 of 10
If f(x)= (3 + x) over (x-3)
what is f(a + 2)?
A. 3+ f(a+2) over f(a)-1
B. (5+ a) over (a-1)
c. (3+a) +2
(a-3)
Answer:
[tex]\huge\boxed{\sf f(a+2)=\frac{5+a}{a-1}}[/tex]
Step-by-step explanation:
Given function:[tex]\displaystyle f(x)=\frac{3+x}{x-3}[/tex]
Put x = a + 2
[tex]\displaystyle f(a+2)=\frac{3+a+2}{a+2-3} \\\\f(a+2)=\frac{5+a}{a-1} \\\\\rule[225]{225}{2}[/tex]
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3
Help me please?
Answer:
y-2=1/3(x-3)
Step-by-step explanation:
Point slope formula: y-y1=m(x-x1)
m is slope.
y-2=1/3(x-3)
Hope this helps!
If not, I am sorry.
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B
Answer:
the answer is (3,4) is the solution to line A but not to line b
Help me solve the inequality: 2x- 3<2x+2 <3x +5
Answer:
[tex]x > - 3[/tex]
I hope this is helpful
COMPLETE THE FOLLOWING EQUATION USING APPROPRIATE SIGN ( +,-,x,÷) IN THE BOXES GIVEN:
REMEMBER TO USE (DMAS)
Answer:
) +, -
e) x, ÷
g) ÷
Step-by-step explanation:
a herd of 25 horses has 12 white and some black horses what is the ratio of white to black horses
12:25 is also the same as 12/25 (in the fractional form!)
hope this helps, have a great day/night/afternoon!! Don't forget to mark me the brainliest if this ever helps you!
Use properties of exponents to simplify the expression. First, express the
answer in exponential form. Then, evaluate the expression.
(1^3) ^4
Step-by-step explanation:
[tex] = { ({1}^{3} )}^{4} [/tex]
[tex] = {1}^{3 \times 4} [/tex]
[tex] = {1}^{12} [/tex]
[tex] = 1[/tex]
Which is mostly likely to be the first step in solving a system of nonlinear equations by substitution
Answer: To solve a system of equations by substitution, we can rewrite a two-variable equation as a single variable equation by substituting the value of a variable from one equation into the other. Let’s start by solving the system of equations that we looked at above: x=4 x = 4 y+x=12 y +x = 12
Step-by-step explanation:
Answer:
Isolating a variable in one of the equations.
Step-by-step explanation:
PLEASE HELP RNNN HELPPPPPPPPPPPP
Answer:
I think favorable outcomes are just the outcomes
which is 6
SR, SB, MR, MB, LR, LB
Step-by-step explanation:
oas on a callable bond is 75 basis points using on-the-run treasuries as benchmark rates. which is correct?
When the callable bond is 75 basis points using on-the-run treasuries as benchmark rates,it implies that the nominal speed is 75bp over the treasury benchmark rates.
What is a bond?It should be noted that a callable bond is the debt instrument whee the issuer has the right to return the principal of the investor.
Callable bonds are also known as redeemable bonds and they're paid off before the maturity date of the bond by the issuer.
It gives room for companies to pay off their debt early and then get benefit regarding favorable interests.
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The median height of 11 footballers is 1.85m.
Only one footballer has a height of 1.85m
How many footballers have a height under 1.85m
On a coordinate plane, triangle 1 is reflected across the x-axis to form triangle 4, is reflected across a diagonal to form triangle 3, is reflected across the y-axis to form triangle 2.
Use the figure to complete the statements.
Triangle 1 is the image of triangle 2 reflected over the
.
Triangle 2 is the image of triangle 3 reflected over the
.
Reflecting triangle 4 over the y-axis results in triangle
.
The complete statements are; Triangle 1 is the image of triangle 2 reflected over the y-axis. Triangle 2 is the image of triangle 3 reflected over the x-axis. Reflecting triangle 4 over the y-axis results in triangle 3.
How does reflection across axis work?When a graph is reflected along an axis, say x axis, then that leads the graph to go just in the opposite side of the axis as if we're seeing it in a mirror.
If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
Triangle 1 is across from triangle 2. If we make the triangles bisect, they will touch the y-axis.
Triangle 2 is above triangle 3. If we make the triangles bisect, they will touch the x-axis.
we can translate it (a congruent shape that is on a different axis and is the same distance from that axis) and rotate it to 90 degrees.
The complete statements are;
Triangle 1 is the image of triangle 2 reflected over the y-axis.
Triangle 2 is the image of triangle 3 reflected over the x-axis.
Reflecting triangle 4 over the y-axis results in triangle 3.
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PLS HELP! (PRE-ALG) WILL GIVE BRAINLIEST. Thx sm
Jean transformed a point by using the rule (x,y) → (x−6.y+8). The image point is (-4, 1). Which point is the pre-image?
a. (-10, 9)
b. (2-7)
c. (-2,7)
d. (10,-9)
I believe the answer is -2, 7
Write an equation of the line that passes through the point P (2,-2) and is parallel to the line
-2x+y=-3
Step-by-step explanation:
Solution:
The slope of the line -2x+y = -3 is m1 =
- coefficient of x ÷ coefficient of y
= -(-2) ÷1
=2
Then, according to the question ;
It is stated that the lines are parallel
i.e.
m1=m2
or, 2 = m2
Hence, m2 =2
Again,
The required equation of the line passing through the point P(2,-2) = (x1,y1) is
y-y1 = m2(x- x1)
or, y-(-2) = 2(x-2)
or, y+2 = 2x-4
or, 2+4 = 2x-y
or, 2x-y = 6
Therefore; 2x-y = 6.
What is the length of leg s of the triangle below?
45°
√32
45⁰
4
A. 4
B. 16
C. √32
D. 1.5
E. 2.2
F. √4
An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally. The correct option is A.
What is an isosceles right angled triangle?An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally.
Since the two of the angles of the triangle are equal, therefore, the length on the opposite sides of this angle will be equal to each other. Hence, we can write that the length of the side s will be equal to 4.
Hence, the correct option is A.
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the expression below. For (x - 6)(x + 2) to equal 0, either (x - 6) or (x + 2) must equal . The values of x that would result in the given expression being equal to 0, in order from least to greatest, are and . Reset Next
The values of x that would result in the given expression being equal to 0 is -2, 6
Finding the solution to quadratic functionsGiven the following expression
f(x) = (x-6)(x+2)
If the function f(x) = 0, then;
(x-6)(x+2) = 0
x - 6 = 0 and x + 2 = 0
Determine the value of x
x = 6 and x = -2
Hence the values of x that would result in the given expression being equal to 0 is -2, 6
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A farmer has 32 cows. he puts an equal number of cows in 4 fields. each cow produces 6 gallons of milk. how much milk do the cows in one field produce?
Answer:
48/field
you take 32÷4=8 and then you 8*6=48 each field
Which function is graphed below?
Answer: The second option, y = 3(1/3)^x
Step-by-step explanation: Input each equation into a graphing calculator (preferably GeoGebra online) and check the answer. I linked the equation, but make sure to check anyway just in case :)