Answer:
-7
Step-by-step explanation:
If you use -7 the LHS will get cancelled.
x + 7 = 19
or, x + 7 - 7 = 19 - 7
or, x = 12
show your work for -4x+3(2x-5)=31
Step-by-step explanation:
[tex] - 4x + 3(2x - 5) = 31 \\ - 4x + 6x - 15 = 31 \\ 2x - 15 = 31 \\ 2x = 31 + 15 \\ 2x = 46 \\ x = 46 \div 2 \\ x = 23[/tex]
Answer and how to solve this
Answer: Marie ran 4.5 miles on Monday.
Step-by-step explanation: 5.7
+1.2
6.9
A plot of land is in the shape of a triangle
If one side is x meters, a second side is
(2x - 4) meters and a third side is
(4x - 5) meters, express the perimeter of
the lot as a simplified expression in x.
Answer:
7x-9
Step-by-step explanation:
P=x+(2x-4)+(4x-5)
P= x+2x-4+4x-5
P =x+6x-9
P =7x-9
P is perimeter
Substitute the given values into the formula, and solve for the unknown variable. A=bh
b=10 A=70
Answer:
h = 7
Step-by-step explanation:
We are given the equation A=bh , and need to work out the unknown variable .
So we substitute the values of A and b given :
70 = (10)(h)
70 = 10 × h
Divide both sides by 10 :
70 ÷ 10 = h
h = 7
Hope this helped and have a good day
-1+(-3) is blank units from -1 in the blank direction
-1+(-3) is 3 units from -1 in the left direction
-1+(-3) is blank units from -1 in the blank direction
-4 is 3 units from -1 in the left direction
because we know that
in the real line if we go 3 units in left from -1 we get -4
since in the real number line
the pattern is ................ - 5, -4, -3, -2, -1 ,0,1,2,3,4,5,............
thus we get
-1+(-3) is blank units from -1 in the blank direction
-4 is 3 units from -1 in the left direction
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A rectangular piece of metal is 15 in longer than it is wide. squares with sides 3 in long are cut from the four
corners and the flaps are folded upward to form an open box. if the volume of the box is 1782 in2, what were the
original dimensions of the piece of metal?
The original dimensions of the piece of metal are 39 inch by 24 inches.
Let the breadth of the rectangular piece be b inches.
Hence, according to the data given in the question,
Length of the rectangular piece will be (b + 15) inches.
After 4 squares of 3 inches each are cut from the corners of the rectangular piece, the length and breadth of the piece becomes:-
Length = b + 15 - 3 - 3 = (b + 9) inches
Breadth = b -3 -3 = (b - 6) inches
The height of the subsequent open box made will be 3 inches.
We have,
Volume of the cuboidal open box = 1782 cubic inches.
Also, we know that,
Volume of cuboid = l*b*h
Where,
l is the length,
b is the breadth, and
h is the height
Hence,
(b+9)(b-6)(3) = 1782 cubic inches
(b+9)(b-6) = 1782/3 = 594
We can write 594 as 33*18
Hence,
(b+9)(b-6) = 33*18
b+9 = 33 or b-6 = 18
b = 33-9 = 18+6 = 24
Hence, the original dimensions are :-
b + 15 = 24 + 15 = 39 inches, and
b = 24 inches
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ƒ(x) = −4x² + 10x + 13
Find f(7)
Answer:
-113
Step-by-step explanation:
Plug in 7 for x and you get -4(7)² + 10(7) + 13
7² = 49 so -4(49) = -196
10(7) = 70
Add them all up and you get -113 (-196 + 70 + 13 = -113)
write the following sets is roster from and set-builder form 1. set A is the set of the whole numbers less than 5. 2. set B is the set of prime numbers. 3. set C is the set of months that starts with "J". 4. set D is the set of composite numbers less than 10. 5. set E is the set of vowel letters in the word "rhythm".
Answer:
The answer are given below:
Step-by-step explanation:
1. Roaster form
A={0,1,2,3,4}
Set builder form
A={x: x⊂ w, x<5}
2.
Roaster form
B={2,3,5,7,11,13,17,.................}
Set builder form
B={x: where x is a prime number}
3.
Roaster form
C={jan ,june ,july }
Set builder form
C={x: x is month starting with "J" }
4.
Roaster form
D={4,6,8,9}
Set builder form
D={x: where x is a prime number, x<10}
5.
Roaster form
E={null}
Set builder form
E={x: x is null}
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What is the value of 1/4(38-14)+3^3 divided by 9?
Answer:
9
Step-by-step explanation:
[tex]38-14\\\bold{24}\\\rightarrow 1\div \:4\cdot \:24+3^3\div \:9\\3^3\\\bold{27}\\\rightarrow 1\div \:4\cdot \:24+27\div \:9\\1\div \:4\cdot \:24\\\frac{1}{4}\cdot \:24\\\bold{6}\\\rightarrow 6+27\div \:9\\27\div \:9\\\bold{3}\\6+3\\=9[/tex]
In the figure below, m1=3x° and m2 = (x+18)°.
Find the angle measures.
L
2
m 21 =
m2 2 =
Answer: m 21=
I got it right on test!
Step-by-step explanation:
Use technology to c ompute the standard deviation for the following sample data. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37
The standard deviation is provided by this. = 6.7528
What role does standard deviation play?Because it aids in comprehending measurements whenever the data is distributed, the standard deviation is significant. The standard deviation of the data will be higher the more evenly distributed the data is.
According to the given data:sample data = ( 32, 41, 36, 24, 29, 30, 40, 22, 25, 37)
To find mean of the given data:
Mean = Sum of items/ Count items
Mean = (32 + 41 + 36 + 24 + 29 + 30 + 40 + 22 + 25 + 37 / 10)
= 31.6
now finding the variance:
First we Add All the sample:
32 + 41 + 36 + 24 + 29 + 30 + 40 + 22 + 25 + 37 = 316
make Square of the solution:
316*316 =99856
and multiply by how many items there are. We have 10 items.
=99856/10
= 9985.6
For the time being, put this number aside.
Take your original set of numbers from Step 1 and square each one this time on its own.
32² + 41² + 36² + 24² + 29² + 30² + 40² + 22² + 25² + 37² = 10396
Subtract the sum from Step 2 from of the sum from Step 3.
10396 - 9985.6 = 410.4
The items in someone data set is reduced by 1 by.10 - 1 = 9
Divide the result of Step 4 even by result of Step 5. You get the variation from this.
410.4 / 9 = 45.6
Your response from Step 6 should be squared. The standard deviation is provided by this.
6.7528
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I understand that the question you are looming for is:
For the following sample data, compute the variance and the standard deviation. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37
Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.
The volumes of the cylinder are 565. 56 cubic inches and 1131. 12 cubic inches respectively.
How to determine the volumeThe formula for volume of a cylinder is expressed as;
Volume = πr²h
Where;
r is the radius = 6 Inh is the height = 5 InSubstitute the values
Volume = 3. 142 × 6² × 5
Volume = 3. 142 × 36 × 5
Volume = 565. 56 cubic inches
If the height is doubled, h = 2 × 5 = 10
Substitute the values
Volume = 3. 142 × 6² × 10
Volume = 3. 142 × 36 × 10
Volume = 1131. 12 cubic inches
Thus, the volumes of the cylinder are 565. 56 cubic inches and 1131. 12 cubic inches respectively.
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Polygon L is a scaled copy of Polygon K
What is the value of J ?
The value of j in the scaled copy in the polygon is: 0.03.
How to Find the Sides of a Scaled Copy?When a figure is scaled, the corresponding dimensions of the new and original figures have a ratio that is the same because they are proportional to each other.
Polygon K and polygon L are similar polygons and therefore their corresponding side lengths are proportional. The ratio below would be created:
j/0.5 = 0.18/3
Cross multiply
j = (0.5 × 0.18)/3
j = 0.09/3
j = 0.03
Therefore, the value of j in the scaled copy in the polygon is: 0.03.
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Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for $35, then took 5 hours of group snowboarding lessons. Victor paid $175 in all.
Which equation can you use to find how much Snowy Ridge charges, x, for each hour of group snowboarding lessons?
Answer: They charge $28 per lesson the Equation is 35 + 5x = $175
Step-by-step explanation: He rented the snowboard for $35 and then took 5 hours of snowboarding lessons. Then the whole thing cost $175.
which of these objects are malleable check all that apply
Tin fork and knife from a camping set
Antique ceramic vase
Steel pole fence post
Marble sculpture
glass tabletop
Copper coin
The objects are (A) tin fork and knife from a camping set, (C) a Steel pole fence post, and (F) a Copper coin are correct.
What is malleable?A material is said to be malleable if it is easy to roll or hammer a thin sheet out of it.
It is given that:
The list of objects is given in the question.
As we know from the definition of malleable; the material is said to be malleable if it is easy to roll or hammer a thin sheet out of it.
Metals have the physical quality of malleability, which makes them easy to crush, hammer, or bend.
Metals that are bendable include copper coins, steel fence posts, and camping forks and knives made of tin.
Thus, the objects are (A) tin fork and knife from a camping set, (C) a Steel pole fence post, and (F) a Copper coin are correct.
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Classify the angle as acute , obtuse , right , or straight
Answer:
1. straight
2. right
3. obtuse
4. acute
Step-by-step explanation:
An ice cream factory makes 100 quarts of ice cream in 5 hours. How many quarts could be made in 36 hours?
Answer:
They can make 720 quarts in 36 hours.
Step-by-step explanation:
First we set up a ratio of 100 quarts:5 hours since that is a given ratio. Since hours was in the denominator of the ratio before, we place the 36 in the denominator of the other ratio, x quarts: 36 hours.
Setting them equal gives the following proportion:
100/5=x/36
Cross multiply to solve:
5x=3600
x=720
Answer:
720
Step-by-step explanation:
100 divided by 5 =20 and 20 times 36 is 720 hope this helped
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 70 yd whats the length and width
Answer:
length is 20 width is 5
Step-by-step explanation:
35
5 20
If your car gets 34 miles per gallon, how much does it cost to drive 330 miles when gasoline costs $3.40 per gallon?
Answer:
$33.
Step-by-step explanation:
330 miles x (1 gal/34 miles) x ($3.40/gal)= $33.
I hope this helps, have a blessed day! :)
Answer: $33
Step-by-step explanation:
1 gallon=$3.40
Hence,
Make a proportion:
34 milles - $3.40
330 milles - x gallones
Thus,
[tex]\displaystyle\\x=\frac{330*3.40}{34} \\\\x=\frac{33*34}{34}\\\\x=33\ dollars[/tex]
4. Jennifer spent $153.36 at the mall. Sally spent $85.20.
How many
times greater is the amount that Jennifer spent than the amount that
Sally spent?
Which length of time is between 10.55 pm and 1.20 am?
A 1h 25 min
B 2h 15 min
C 2h 25 min
D 3h 25 min
From 10:55 pm to 11:00 pm, 5 minutes have elapsed.
From 11 pm to 12:00 pm, 60 minutes have elapsed, and from 12:00 pm to 1:00 am, another 60 minutes have elapsed, from 1:00 am to 1:20 am, 20 minutes have elapsed plus.
x = 5m ➕ 60m ➕60m ➕ 20 mx = 145 minutesIn the 145 minutes, there are 2 hours and 25 minutes.
Answer: From 10:55 pm to 1:20 a.m there is a time period of 2 hours and 25 minutes. Correct alternative is "C".
SkandarY varies jointly as a and n2 when s=7 and n=4, y=336. find y when s is 12 and n is 7
Y= 1764
It is given that y varies jointly as s and n2
From the given question if s = 7 and n = 4 then y =336
So,
y= k * s * n^2
Let k a constant number
336= k * 7 * 4^2
336 = k *7* 16
336 = k * 112
Therefore, k = 3
So now we get the General equation i.e
y= 3 * s * n^2
Now we have to find the value of y when s= 12 and n= 7
Y=3* 12* 7^2
= 3*12*49
=1764
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which linear inequality will have a solution of (0,0)
a. y<-2x
b. y<-3x+4
c. y>-2x+6
d. y>-3x
The linear inequality will have a solution of (0,0) is y<-2x and y>-3x.
Option (A) and (D) is correct.
What is inequality?
The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.
According to given question we have
a. y<-2x
To put the value of x any y (0,0) we get
=0<-2*0
=0<0
b. y<-3x+4
To put the value of x any y (0,0) we get
=0<-3*0+4
=0<0+4
=0<4
c. y>-2x+6
To put the value of x any y (0,0) we get
=0>-2*0+6
=0>0+6
=0>6
d. y>-3x
To put the value of x any y (0,0) we get
=0>-3*0
=0>0
Therefore, the linear inequality will have a solution of (0,0) is y<-2x and y>-3x.
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witch equation is true when x=4? A 3X+4=8 B 5X-2=18 C 2X+8=40 D 4X+4=12
Answer:
5X - 2 = 18
Step-by-step explanation:
5 x 4 = 20
20 - 2 = 18
help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help
Answer:
1. (2x + 1) (x - 4)
2. (3y +2 ) (y + 1)
3. (w - 3) (3w + 5)
4. (4s - 1) (s + 7)
5. (x + 5) (2x - 3)
Step-by-step explanation:
Lots of good articles on factoring quadratics - that is what this is called.
Answer:
1. (2x + 1) (x - 4)
2. (3y +2 ) (y + 1)
3. (w - 3) (3w + 5)
4. (4s - 1) (s + 7)
5. (x + 5) (2x - 3)
Step-by-step explanation:
I need help with example 9 please
Answer:
a reflection across the y-axis and a translation up of 4
Step-by-step explanation:
5a + 2b = 40 solve for b
Answer:
5a-40=-2b
5a-40/-2=-2b/-2
-5a/2+20=b
square root 147 simplified
Answer:
7√3
Step-by-step explanation:
Margot draws a shape with one pair of parallel lines that are four centimeters apart. She then flips the shape across a horizontal line.
How many pairs of parallel lines are in the flipped shape?
The flipped shape has a pair of parallel line
What are parallel lines?A pair of line is said to be parallel lines when the lines tend to maintain equal distance apart and never intersect at any point. such lines has peculiar properties and are useful in mathematics.
Since a pair of parallel line do not intersect their is not angle between them.
What happens when a shape is flipped ?Flipping a shape will change the position of the flipped shape to a new one. This activity does not add to the size of a shape or to the property of the shape.
Margot flipping a pair of parallel lines will not add or reduce the number of the parallel lines. It however creates point of intersection between the parallel line and horizontal line crossing the parallel line.
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A rectangular bathroom mirror has a perimeter of 24 feet and an area of 20 square feet. What are the dimensions of the mirror?
A rectangular bathroom mirror having a perimeter of 24 feet and an area of 20 square feet, The length and breadth of rectangle are 10 feet and 2 feet respectively.
Given,
perimeter of the rectangle = 24 feet
area of rectangle = 20 sq. feet
Formula of perimeter of rectangle = 2(L + B)
where L = length of the rectangle , Breadth of the rectangle.
⇒ 24 = 2(L + b)
⇒ 12 = L + B
⇒ L = 12 - B ........(1)
Formula of area of rectangle = L × B
⇒ 20 = L × B
⇒ L = 20 / B .......(2)
From (1) and (2)
equating two equations,
12 - B = 20 / B
⇒ 12B = 20 + B²
⇒ B² - 12B + 20
On solving,
⇒ B = 10, 2
So, the Length and breadth of rectangle are 10 feet and 2 feet
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