Answer:
Sample 1
Step-by-step explanation:
Find the value of x. Enter only the number.
Answer: 5
Step-by-step explanation: These two triangles are similar triangles. Since they are similar, they must be scaled equivalently. The scale factor is 5. To know this, 3 times 5 is 15, and being equivalent, we can figure 5 times 5 is 25. Therefore x is 5. That also means that the scale factor of the smallest triangle to the biggest triangle is 5. Thus, x is 5.
Solve the equation:
1. |x-7|=8
2. |x-9|=-14
Answer:
1. [tex]x=-1; x=15[/tex]
2. Impossible
Step-by-step explanation:
About #1.
There are two ways of reasoning.
Algebrically, you split the absolute value in two based on the sign of the quantity [tex]x-7[/tex]
[tex]x-7 = 8; x\ge7\\x=15\\x-7=-8; x < 7\\x=-1[/tex]
Geometrically, and it's a personal preference of mine, you're asking to find the numbers that are 8 units away from 7. One is to the right (15), and the other is to the left (-1).
#2 is impossible. The modulus of a number is by definition non negative, so it can never be equal to a negative number.
Abby is going to make 60 Abby is making 60 shortbread biscuits. How much flour
will she need?
Ingredients to make
20 shortbread biscuits
130g butter
60g sugar
180g flour
Step-by-step explanation:
180 grams of flour is needed for 20 short bread biscuits to find how many floor is needed per biscuit we divide
=> 180 ÷ 20=> 9g(per each)since we are find the value of floor per shortbread biscuits we then multiply it by 60
=> 9 × 60=> 540[tex] \therefore [/tex] she needs 540g to make 60 short bread biscuit
~ Done~
Please help me with this problem! Picture Included!!
Answer:
y < 1
Step-by-step explanation:
graphing with inequality
Answer:
3/1/2
Step-by-step explanation:
please mark me the brainiest
Look at the image below. What is the area of the triangle? units
Answer:
7 Units^2
Step-by-step explanation:
If we add an exact copy of the triangle, we can make a parallelogram.
Then we can use the parallelogram's area to figure out the triangle's area.
Hint #22 / 4
The original triangle has \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction the area of the parallelogram we just made.
Hint #33 / 4
\begin{aligned} \text{Area of parallelogram} &= \text{base} \times \text{height}\\\\ \text{Area of triangle} &= \dfrac{1}{2} \times \text{base} \times \text{height}\\\\ &= \dfrac{1}{2} \times 7 \times 2\\\\ &= \dfrac{1}{2} \times 2 \times 7\\\\ &= 1 \times 7\\\\ &= 7 \end{aligned}
Area of parallelogram
Area of triangle
=base×height
=
2
1
×base×height
=
2
1
×7×2
=
2
1
×2×7
=1×7
=7
Hint #44 / 4
The triangle has an area of 777 units^2
2 squared.
The area of the triangle is 7 square units if the height of the triangle is 2 units, and base length is 7 units.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle shown in the figure:
The base length = 7 units
The height of the triangle = 2 units
Area of the triangle = (7x2)/2
= 7 square units
Thus, the area of the triangle is 7 square units if the height of the triangle is 2 units, and base length is 7 units.
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75 POINTS IF U GET THIS CORRECT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! James has a collection of 20 miniature cars and trucks. Cars make up 40% of the collection. If James adds only cars to his collection, how many cars must he add to make the collection 75% cars?
Answer:
28 cars
Explanation:
cars + trucks = 20Let "n" be the cars added in the collection
cars : 20 * 40% = 8 carstrucks : 20 - 8 = 12 truckssolve:
[tex]\rightarrow \sf \dfrac{8+n}{20+n} =75\%[/tex]
[tex]\rightarrow \sf {8+n} =(20+n)75\%[/tex]
[tex]\rightarrow \sf {8+n} =15+0.75n[/tex]
[tex]\rightarrow \sf {8-15} =0.75n-n[/tex]
[tex]\rightarrow \sf -7 =0.25n[/tex]
[tex]\rightarrow \sf n = 28[/tex]
Thus, he needs to add 28 cars in the collection to make the collection 75% cars.
Answer:
28 cars
Step-by-step explanation:
Total number of cars and trucks = 20
Cars make up 40% of the collection
⇒ Number of cars = 40% of 20
= 0.4 x 20
= 8 cars
⇒ Number of trucks = total collection - number of cars
= 20 - 8
= 12 trucks
To calculate how many cars must be added to make the collection 75% cars, set up a ratio equation with x being the number of cars to be added:
(Added cars + existing cars) to total collection = 75%
⇒ x + 8 : x + 8 + 12 = 75 : 100
⇒ x + 8 : x + 20 = 75 : 100
[tex]\sf \implies \dfrac{x+8}{x+20}=\dfrac{75}{100}[/tex]
⇒ 100(x + 8) = 75(x + 20)
⇒ 100x + 800 = 75x + 1500
⇒ 100x -75x = 1500 - 800
⇒ 25x = 700
⇒ x = 28
Therefore he would need to add 28 cars to his collection to make his collection 75% cars.
Check
Number of cars = 8 + 28 = 36
Number of trucks = 12
Total collection = 36 + 12 = 48
Number of cars / total collection = 36/48 = 0.75 = 75%
What is the area of the parallelogram shown? A) 60in B) 120in C) 140in D) 180in. + What is the area of a parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram shown? A) 230in B) 260in C) 290in D) 310in.
120 in sq. , 260 in sq.Step-by-step explanation:question 1.area of a parralelogram = perperndicular height x basetherefore area = 8in x 15 inarea is 120in sq.question 2.the second parallelogram dimensions are as followsheight = 8 in +5 in = 13 inbase = 15in + 5in = 20therefore area = 13x20area = 260 in sq.
I need help quick please
Angle A = 137
Angle B = 93
what is a quadrialateral?
A quadrilateral is four sided polygon. squares and rectangles are more common examples of a quadrilateral. Each quadrilateral has it's unique features however generally the sum of angles of a quadrilteral is 360
Introducing angle C such that
A + C = 180 (angle on a straight line)
C + 47 + 90 = 180 (sum of angles of a trianlge)
C = 180 - 90 - 47
C = 43
hence
A + 43 = 180
A = 180 - 43
A = 137
A + B + 90 + 40 = 360 (sum of angles of a quadrilateral )
37 + B + 90 + 40 = 360
B = 360 - ( 137 + 90 + 40 )
B = 93
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A certain brand of laundry detergent is manufactured for $3.85 and then marked up 40% by the local store before selling. The store offers a 20% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of five bottles of detergent. (10 points)
Answer:
$21.56
Step-by-step explanation:
Original price = $3.85Marked up by 40% = 3.85 x 1.4 = $5.39 per bottleCost and discount of 5 bottles
Cost = 5 x 5.39 = $26.95Discount of 20% = 26.95 x 0.8 = $21.56Answer:
$21.56
Step-by-step explanation:
Original cost of one bottle of detergent = $3.85
Cost of one bottle after 40% mark up = 1.4 × $3.85 = $5.39
Cost of 5 bottles = 5 × $5.39 = $26.95
Cost of 5 bottles after applying 20% discount = 0.8 × $26.95 = $21.56
Therefore, the total cost of 5 bottles of detergent is $21.56
------------------------------------------------------------------------------------------------
Information about percetange increase/decrease
If you increase the price of something by 40% then it will be 140% of the original price (the original price is 100% and 100% + 40% = 140%).
Convert to decimal form: 140% = 140/100 = 1.4
Therefore, to calculate an increase of 40%, multiply the original price by 1.4
If you decrease the price of something by 20% then it will be 80% of the previous price (the original price is 100% and 100% - 20% = 80%).
Convert to decimal form: 80% = 80/100 = 0.8
Therefore, to calculate a decrease of 20%, multiply the previous price by 0.8
Mrs. Bradford, a tailor, received 25 meters of fabric as a gift. She used 3 meters of fabric to make herself a long skirt. She plans to turn the rest of the fabric into smaller girls' dresses that she can sell. If she needs 110 centimeters of fabric for every dress, how many dresses can she make?
Answer:
20 dresses
Make sure to label
Step-by-step explanation:
there is 100 centimeters in 1 meter she has 2200 centimeters of fabric left and need 110 for each dress she can make 20 dresses
What expression is equivalent to (x^4/3 x^2/3) ^1/3
Answer:
(x^4/3x^2/3)^1/3
using the power of powers rule (multiply the exponents)
x^(4/3*1/3) x^(2/3* 1/3)
x^ (4/9) ( x^ 2/9)
when multiply exponents, add
x^ (4/9 + 2/9)
x^ (6/9)
x^ (2/3)
Find the x- and y-intercepts of y=−x/2−1.
Step-by-step explanation:
y = -x/2 - 1
the y-intercept is right there : -1.
it is the y-value when x = 0
the point of y-intercept is therefore (0, -1).
the x-intercept is the other way around. it is the x- value when y = 0.
0 = -x/2 - 1
1 = -x/2
-2 = x
the point of x-intercept is therefore (-2, 0)
Find the differential of
f
(
x
,
y
)
=
x
2
+
y
3
at the point
(
2
,
1
)
.
[tex]f(x,y)=x^2+y^3\implies \left.\cfrac{}{} 2x+3y^2 \right]_{\stackrel{\textit{\small x=2}}{\textit{\small y=1}}}\implies 2(2)+3(1)^2\implies 7[/tex]
This is a img thank you
Answer: A = and then below is incorrect then state how to find the correct answer and why it is correct.
Step-by-step explanation: hope it helps
Using a two-tailed test with an alpha of 0.05, a research reports an obtained Z-score of -2. The researcher should reject the null
hypothesis.
True
False
Since the absolute value of the z-score is greater than the critical value, the statement is true.
When do we reject or do not reject the null hypothesis?For a two-tailed test:
If the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis.If it is more, we reject.The critical value for a two-tailed test with [tex]\alpha = 0.05[/tex] is of |z| = 1.96.
In this problem, we have that Z = -2, hence |Z| = 2, which is greater than the critical value, hence we reject the null hypothesis and the statement is True.
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A box has length 3 ft, width 5 ft, and height 2 ft.
What is the volume?
cu ft
Answer:
30 cubic feet
Step-by-step explanation:
The volume of a box is found by multiplying the area of the base by the height. The area of the base is found by multiplying the length by the width. (3 x 5)(2) = 15(2) = 30 cubic feet
An exponential function has a growth factor or 3.76. What is the percentage growth rate?
The exponential function with a growth factor has a rate greater than 1
The percentage growth rate is 276%
How to determine the percentage growth rate?The growth factor (b) is given as:
b = 3.76
The growth factor (b) is greater than 1.
So, the percentage growth rate (r) is calculated as:
r = b - 1
Substitute known values
r = 3.76 - 1
Evaluate the difference
r = 2.76
Express as percentage
r = 276%
Hence, the percentage growth rate is 276%
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If you drew a marble from a bag containing 40 marbles and you had a probability of drawing a red marble, how many red marbles are in the bag?
6
10
3
5
Answer:
There are 5 red Marbles
Step-by-step explanation:
Alright so since the probability of drawing a red marble is
P(Red) = #Outcomes of Red/#Outcomes in Sample space
The sample Space is 40 marbles.
The probability of drawing red was said to be [tex]\frac{1}{8}[/tex]
P(Red) = [tex]\frac{1}{8}[/tex]
[tex]P(Red) = \frac{r}{40}\\ \frac{1}{8} = \frac{r}{40}\\ \frac{40}{8} = r\\ 5 = r[/tex]
Which describes the combined variation in the formula h=v/ πr^2?
h varies directly with V and inversely with the square of r.
h varies directly with V and inversely with π and the square of r.
h varies jointly with V and π, and inversely with the square of r.
h varies jointly with V and r2.
Step-by-step explanation:
h varies directly with v and inversely with the square of r.
1/pi is the constant of variation.
Solve this system of equations
3x+3y+z =-18
x-3y+2z=15
8x-2y+3z=7
Please help
Simplify:
Answer:
-9 3/4a+10 2/5
Step-by-step explanation:
-12 * 5/6a = -10a
-12 * -7/8 = 10 1/2
1/14 * 3 1/2a = 1/4 a
1/14 * -1 2/5 = -1/10
Put it together: -10a + 10 1/2 + 1/4a - 1/10
-10a+1/4a = -9 3/4a
10 1/2-1/10= 10 2/5
-9 3/4a + 10 2/5
What is 88 3/4 rounded to the nearest whole number
Answer:
89
Step-by-step explanation:
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Four-sevenths of the people in a room are seated in seven-eighths of the chairs. The rest of the people are standing. If there are 8 empty chairs, how many people are in the room?
Answer:
147
Step-by-step explanation:
4/7 people in chairs
7/8 of chairs, rest are standing
8 empty chairs
empty chairs = 1/8
full chairs = 8 x 8
7/8 = 64.
4/7 = 64
1/7 = 64 / 4
1/7 = 21
7/7 = 21 x 7
7/7 = 147
There are 147 people in the room.
There are 147 people in the room.
The given is,
Four-sevenths of the people in a room are seated in seven-eighths of the chairs.
The rest of the people are standing.
there are 8 empty chairs, how many people are in the room in a room are seated in seven-eighths of the chairs.
The rest of the people are standing.
We have to determine there are 8 empty chairs, how many people are in the room.
Four-sevenths of the people.
What is the standard form of the Four-sevenths?4/7 people in chairs.
7/8 of the chairs, rest are standing
The 8 empty chairs,
The empty chairs = 1/8
The full chairs = 8 x 8
7/8 = 64.
4/7 = 64
1/7 = 64 / 4
1/7 = 21
7/7 = 21 x 7
7/7 = 147
There are 147 people in the room.
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It takes Marty 1 1/4 hours to get ready for school. If 1/5 of that time is used to shower and 1/3 of that time is used to eat breakfast, how long does it take him to shower and eat breakfast?
Answer: 40 minutes
Step-by-step explanation:
First, break this down into minutes. 1 1/4 hours is 75 minutes. 75 divided by 5 is 15. he spends 15 minutes taking a shower. 75 divided by 3 is 25. he spends 25 minutes eating breakfast. 25 plus 15 is 40. he spends 40 minutes to shower and eat breakfast.
what does 1/10 + 1/100 equal?
Answer:
0.11
Step-by-step explanation:
[tex] \frac{1}{10} + \frac{1}{100} \\ \\ = \frac{10}{100} + \frac{1}{100} \\ \\ = \frac{11}{100} \\ \\ = 0.11[/tex]
I am so confused... I need help
click on the point f(-3)
Answer:
The point at f(-3) is at (-3,1).
Step-by-step explanation:
To find the y-value of a function at a specific point by using the graph, keep in mind that the x-axis is the axis that lies horizontally on the graph.
So, look along the horizontal line through the center until you find where x = -3. Now find the corresponding y-value to that x-value by looking above or below that point until you find where it intersects the graph. When you find that point, look to see what number the point corresponds with on the y-axis. In this case, it corresponds to y = 1.
Remember that ordered pairs are formatted as (x,y).
Hope this helps.
Can someone please help with this. I’m stuck.
Answer:
567 ghbvc. the high but
Step-by-step explanation:
solve accordingly to the picture
hope it helps
A bag of tokens contains 9 red, 6 green, and 5 blue tokens. What is the probability that a randomly selected token is red and green?
Answer:
27/200
Step-by-step explanation:
Knowing that:
A bag of tokens contains 9 red, 6 green, and 5 blue tokens. What is the probability that a randomly selected token is red and green?
Solve:
and = multiply
Total = 9 red + 6 green + 5 blue = 9 + 6 + 5 = 20
Total = 20 token
Thus,
There are 9 red and 6 green..
Hence,
9 out of 20 is red
6 out of 20 is green
Equation
9/20 × 6/20
Multiply Across:
9 × 6 = 54
20 × 20 = 400
54/400
Simplify
27/200
Therefore, the probability that a randomly selected token is red and green is 27/200.
~Lenvy~
The probability that a randomly selected token is red and green is 27/200 in fraction form and 0.135 in decimal form.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Given that a bag of tokens contains 9 red, 6 green, and 5 blue tokens.
Total = 9 red + 6 green + 5 blue = 9 + 6 + 5 = 20
Total token = 20
P(E₁) is 9 out of 20 are red.
P(E₂) is 6 out of 20 are green.
⇒ P(E₁) = 9/20
⇒ P(E₂) = 6/20
Required probability P(E) = P(E₁)×P(E₂)
Required probability P(E) = 9/20 × 6/20
Required probability P(E) = 54/400
Required probability P(E) = 27/200 = 0.135
Therefore, the probability that a randomly selected token is red and green is 27/200.
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Two parents were shopping online for
new clothes for their kids. One mom
spent $26.50 on 3 shirts and 1 pair of
pants. Another mom spent $42 on 4 of
the same shirts and 2 of the same pairs
of the same pants. What was the cost
of each shirt and pair of pants?
Answer:
Shirt= $5.50
Pant=$10
Step-by-step explanation:
Let's shirt be 'x' and pant be 'y'
=}. 3x + y = $26.50
4x + 2y = $42
=}. 3x + y = $26.50
2x + y = $21. ( then first term minus
second term )
=}. x = $ 5.50
Now, y = $26.50 - 3x
= $26.50 - 16.50
= $10
Thx I hope it will be helpful