Answer:
[tex]r < 11[/tex]
Step-by-step explanation:
Given
Represent Ruth with r and Scoonsie with s
[tex]s = 11kg[/tex]
Required
Represent Ruth's weight as an inequality
From the question, Ruth weighs lesser than Scoonsie. This is represented as:
[tex]Ruth < Scoonsie[/tex]
For proper representation, it is:
[tex]r < s[/tex]
Substitute 11 for s
[tex]r < 11[/tex]
The above inequality represents Ruth's weight
Select the correct answer. For which quotient is x=7 an excluded value?
Answer:
[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]
Step-by-step explanation:
Given
See attachment
To answer this question, we start by equating the denominators of each option to 0; then, solve for x
(a):
[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]
This gives
[tex]\frac{7x}{x^2 - 10x + 21} * \frac{7}{x + 7}[/tex]
Set the denominator to 0
[tex](x^2 - 10x + 21)(x + 7) = 0[/tex]
Solve for x
[tex](x^2 - 7x - 3x + 21)(x + 7) = 0[/tex]
Factorize:
[tex](x(x - 7) - 3(x - 7))(x + 7) = 0[/tex]
[tex](x - 7)(x - 3)(x + 7) = 0[/tex]
This implies that:
[tex]x = 7\ or\ x = 3\ or\ x = -7[/tex]
From above, one of the values of x is 7.
This implies that x = 7 is an excluded value for this quotient.
Other options do not need to be checked, since there is only one answer.
Answer:
A
Step-by-step explanation:
1. Evaluate the expression for the given value of the variable. 4(z+ 4) + 5 for z = 2
A 4(2z + 4) +5
B -3
C 17
D 29
Answer:
D
Step-by-step explanation:
4(z+ 4) + 5 z = 2
4(2+4)+5
4(6)+5
24+5
=29
Answer:
theres a bunch of online calculators for equations of any type I reccomend saving your points for other subject questions
Step-by-step explanation:
for the figure below, give the following
Answer:
(a) <1 & <6 (b) <5 & <6 (c) 7 & <3
Step-by-step explanation:
Vertical angles are angle that make an X
Linear pair angles are next to each other
Supplementary angles are angles that form a straight line
Answer:
a) 1 and 6 , 3 and 8, 7 and 4, or 2 and 5
b) 5 and 6
c) 1 and 5
Step-by-step explanation:
Find the slope of the line that passes through the points (2,8) and (6,8).
Answer:
8-8/6-2
0/4
answer is 0
y=0x+c
8=0(2)+c
8=0+c
8=c
y=0x+8 i thinkkk
Step-by-step explanation:
Answer:
8-8/6-2
0/4
answer is 0
y=0x+c
8=0(2)+c
8=0+c
8=c
y=0x+8
Step-by-step explanation:
find the value of x in the equation below.
x+1=6
3 Times Square root of 200 simplified
Answer:
C. [tex]30\sqrt{2}[/tex]
I hope this helps!
The simplified form of expression 3 times the square root of 200 is 30√2 ( thirty times square root 2 ) .
To simplify the expression 3 times the square root of 200, we can break it down into smaller components .
First, let's simplify the square root of 200 :
√ 200 = √ ( 100 × 2 ) = √ 100 × √ 2 = 10√2
Now, we substitute this simplified value back into the original expression :
3 × √ 200 = 3 × ( 10√ 2 ) = 30√ 2
Therefore, the simplified form of 3 times the square root of 200 is 30√2 .
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Can someone plz do
A
C
D
Answer:
a) I think its 2n+1
c) I think its 6n+3
d) I think its 7n-4
What is the exponential form of log5 15,625 = 6?
Answer:
I'm currently having the same lesson.
Exponential form:
5⁶ = 15,625
The number next to the "log" symbol is the base, which is positioned down. Next to the base of the exponent is the result of the exponent.
The number after the equal sign is the exponent.
Check the image for better clarification.
Step-by-step explanation:
Answer: [tex]5^{6} =15625[/tex]
Step-by-step explanation:
PLZ HELP MY TEACHER IS GIVING ME SO MUCH WORK
If you walking on the sidewalk and your pencil falls how many toddlers did you eat last night with Tom Holland???
I have to find out what m
I need help... plssss :))
Answer:
(1, -1), (1, -2), (2, -3), (2, -4)
NO
Step-by-step explanation:
✔️Each ordered pair is written as (input, output).
Thus, we would have the following:
(1, -1), (1, -2), (2, -3), (2, -4)
✔️This cannot be a function because every input value do not have exactly one output value related to it. A function should not have an input value related to more than one output value.
So, the answer is NO. It is not a function.
Simplify
(45x6y%) = (5x4y2
Answer:
0 would be your anwswer
Step-by-step explanation:
Write an equation for a line perpendicular to h(t) = -2t +4 and passing through the point (-4, -1).
Answer:
y=1/2t+1
Step-by-step explanation:
To get a perpendicular line, the slopes have to be reciprocals.
Find two integers whose sum is -9 and product is 14
calculate the unit rate of change for each linear function using the formula. (4,9) (8,12) (16,18) (32,30)
Answer:
The unit rate of change is of [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
We are given a set of points (x,y).
To find the unit rate of change, we take two points, and divide the change in y by the change in x.
Points (4,9) and (8,12)
Change in y: 12 - 9 = 3
Change in x: 8 - 4 = 4
Unit rate of change: [tex]\frac{3}{4}[/tex]
FOR 20 points
Show your work neatly for each problem.
1. Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10 tins of cheese
popcorn and 8 tins of caramel popcorn for a total of $446. Cameron sold 22 tins of cheese popcorn and
11 tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin
of cheese popcorn and one tin of caramel popcorn. Show all your work.
Answer:
one tin of cheese $23
one tin of caramel $27
Step-by-step explanation:
let 'x' = cost of cheese tin
let 'y' = cost of caramel tin
10x + 8y = 446
22x + 11y = 803
i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms
-110x - 88y = -4906
+ 176x + 88y = 6424
66x = 1518
x = 1518 / 66
x = 23
find 'y': 10(23) + 8y = 446
230 + 8y = 446
8y = 216
y = 27
What is the area, in square feet, of the rectangle shown below?
Answer:
D
Step-by-step explanation:
= 34/5 × 19/4
= 646/20
= [tex]32 \frac{6}{20} [/tex]
The area of the given rectangle is [tex]32\frac{6}{20}[/tex] square feet
For better understanding check the calcualtion here .
Calcualtion :
Area of the rectangle is the space inside the given triangle .
Formula : Formula to find the area of the triangle is length times width
Length and width are given as mixed fractions
Lets convert mixed fractions into improper fractions
[tex]Length =6\frac{4}{5}=\frac{6 \cdot 5+4}{5}=\frac{34}{5} \\Width=4\frac{3}{4}=\frac{4 \cdot 4+3}{4}=\frac{19}{4}[/tex]
Now we find out the area
[tex]Area= length \cdot width \\Area=\frac{34}{5} \cdot \frac{19}{4} \\Area= \frac{646}{20}[/tex]
Now we divide the number and find out the quotient and remainder
[tex]Area= \frac{646}{4} \\Quotient = 32 \\remainder =6\\Area= 32\frac{6}{20}[/tex]
The area of the given rectangle is [tex]32\frac{6}{20}[/tex] square feet
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Lila decided to make more baked goods for the bake sale. She used 1/8 less flour to make bread to make cookies. She used 1/4 more flour to make cookies than to make brownies. If she used 1/2 of flour to make the bread, how much flour did she use to make the brownies. Explain your answer.
Answer:
3/7 cup
Step-by-step explanation:
Ignore the units for the time being. Just to give it units, you could call it cups. This question is really about ratios.
Let the cookies = x
Then the bread = x - 1/8 x = 7/8x
The brownies = cookies - 1/4 cookies
The brownies = 3/4 cookies = 3/4 x
==============
Now start again.
The bread uses 1/2 cup.
That translates into 1/2 = 7/8 x
x = 1/2 // 7/8 = 4/7 cup for the cookies (4/7 is larger than 1/2)
Whatever the cookies are, the brownies take 3/4 as much
4/7 * 3/4 = 12/28 = 3/7
The answer should be 3/7 of a cup.
9514 1404 393
Answer:
3/8 lb
Step-by-step explanation:
If all units are pounds, then we have ...
bread = cookies - 1/8 lb
cookies = brownies + 1/4 lb
bread = 1/2 lb
Using the last value in the first equation, we find ...
1/2 lb = cookies - 1/8 lb
cookies = 5/8 lb . . . . . . . add 1/8 lb to both sides
Using this in the second equation gives ...
5/8 lb = brownies + 1/4 lb
3/8 lb = brownies . . . . . subtract 1/4 lb from both sides
__
Lila used 3/8 lb of flour to make the brownies.
A bass guitarist worked on 15 music projects last year. He wrote and produced 5 projects. He wrote a total of 9 projects. Use a Venn diagram to determine:
a. How many projects he wrote but did not produce
b. How many projects he produced but did not write.
Let W be the set of projects the bass guitarist wrote and P be the set of projects he produced
Step-by-step explanation:
W = Set of projects the guitarist wrote
P = Set of products he produced
A bass guitarist worked on 15 music projects last year.
Universal set = 15
He wrote and produced 5 projects.
W ∩ P = 5
He wrote a total of 9 projects.
W = 9
The Venn Diagram is given in the attached image.
a. How many projects he wrote but did not produce (W - P)?
W - P = W - W ∩ P
W - P = 9 - 5 = 4
He wrote 4 projects but did not produce them.
b. How many projects he produced but did not write (P - W)?
Universal set = (W - P) + (P - W) + W ∩ P
15 = 4 + (P - W) + 5
(P - W) = 15 - 9 = 6
He produced 6 projects but did not write them
Write the standard form of the equation of the circle below.
Center (0,-1) passes through the point (-1,-2)
Answer:
[tex]x^2+(y+1)^2=2[/tex]
Step-by-step explanation:
We use the formula for a circle with center at (0, -1), that goes through the (x, y) point (-1, -2):
[tex](x-0)^2 + (y-(-1))^2 = R^2\\Using \,\,\,point\,\,\,(-1, -2)\\(-1-0)^2+ (-2+1)^2 = 1 + 1 = 2 = R^2[/tex]
Therefore, the equation of this circle can be written as:
[tex]x^2+(y+1)^2=2[/tex]
A rectangular room measures 21 feet by 28 feet with a 10-foot-high ceiling. The flooring is being replaced with carpeting that sells for $10.45 per square foot and entails a $149 installation fee. What is the total pricing for the carpeting with an 8.0% sales tax
9514 1404 393
Answer:
$6,797.09
Step-by-step explanation:
The area of the floor is ...
(21 ft)(28 ft) = 588 ft²
Then the cost of the carpet material is ...
(588 ft²)($10.45/ft²) = $6,144.60
The subtotal with installation fee is ...
$6,144.60 +149.00 = $6,293.60
Adding the sales tax multiplies this amount by 1 +8% = 1.08, so the final price is ...
1.08 × $6,293.60 = $6,797.09 . . . total price
Need help in math!!!!!!!!
Answer:
1.9x+2(1.5)>30
Step-by-step explanation:
1.9(15)+2(1.5)
28.5+3
31.5 dollars
therefore the equation is grater than 30 dollars
A grid has lines at 90-degreree angles. There are 12 lines in one direction and 9 lines in the other direction. Lines that are parallel are 11 inches apart. What is the least number of 12in by 12in floor tiles needed to cover all of the line intersections of the grid? The tiles do not have too touch each other.
Answer:
70
Step-by-step explanation:
Given that:
There are twelve (12) lines in a direction and another nine 9 lines in another direction.
If we draw the above illustration out, we will realize that we will have 11 squares by 8 squares.
i.e these 11 squares are 11 inches apart.
Hence, the length of their grid = 11 inches × 11 inches = 121 inches²
Thus, for 12 in by 12 in tiles; we will have:
= [tex]\dfrac {121}{12}[/tex]
= [tex]10 \dfrac{1}{12}[/tex]
This implies that there are 10 files with just [tex]\dfrac{1}{2}[/tex] inch gap in length.
Similarly, for 8 squares and 11 inches apart;
The width = 8 inches × 11 inches = 88 inches²
Thus; the 12 in tiles needed = [tex]\dfrac{88}{12}[/tex]
= [tex]7 \dfrac{1}{3}[/tex]
It signifies that there are 7 tiles with [tex]\dfrac{1}{3}[/tex] inch gap in width.
Thus, the least number of tiles required = 10 × 7 = 70
HELP HELP PLEASE IM BEGGING YOU HELP!
Answer:
22 * n + 4
Step-by-step explanation:
Use either Gaussian elimination or Gauss-Jordan elimination to solve the given system or show that no solution exists. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, use t for the parameter.) x1 + x2 + x3 = 0 x1 + x2 + 9x3 = 0
Answer:
x1 = t, x2 = -t and x3 = 0
Step-by-step explanation:
Given the system of equation
x1 + x2 + x3 = 0 .... 1
x1 + x2 + 9x3 = 0 .... 2
Subtract both equation
x3 - 9x3 = 0
-8x3 = 0
x3 = 0
Substitute x3 = 0 into equation 1
x1 + x2 + 0 = 0
x1+x2 = 0
x1 = -x2
Let t = x1
t = -x2
x2 = -t
Hence x1 = t, x2 = -t and x3 = 0
What is the distance between point (8,4) and point (3,2) rounded to the nearest tenth?
Step-by-step explanation:
the answer of this question is 5.39
Will mark brainliest!!
Solve for x
Answer:
The x=22
Step-by-step explanation:
6 more than 7 times 3 ?
Answer:
27
Step-by-step explanation:
The next number in the arithmetic sequence 10, 23, 36, __is:
49.
46.
43.
50.
Answer:
49
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
From the sequence it is obvious that the next number was simply the addition of 13, so by adding 13 to 36 we get 49
4(y - 3) =
Use distributive property to complete the equivalent expression
Answer:
Step-by-step explanation:
4(y-3) = 4y - 4·3 = 4y - 12
The equivalent value of the expression is A = 4y - 12
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 4 ( y - 3)
On simplifying the equation , we get
A = 4 ( y - 3 )
So , the left hand side of the equation is equated to the right hand side by the value of A = 4 ( y - 3 )
Opening the parenthesis on both sides , we get
A = 4 ( y - 3 )
Using the distributive property , we get
A = 4 ( y ) - 4 ( 3 )
On further simplification , we get
A = 4y - 12
Taking the common factor as 4 , we get
A = 4 ( y - 3 ) = 4y - 12
Therefore , the value of A = 4y - 12
Hence , the expression is A = 4y - 12
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