Answer:
z = 10
Step-by-step explanation:
simplify to
2z + 10 + 5z + 10 = 10z-10
2+5z-10z=-10-10-10
-3z = -30
z = 10
give brainiest please!
hope this helps :)
Answer:
z = 10
Step-by-step explanation:
Distribute:
(2z + 5) + 5(z + 2) = 10(z - 1)
2z + 10 + 5(z + 2) = 10(z - 1)
and distribute again:
2z + 10 + 5(z + 2) = 10(z - 1)
2z + 10 + 5z +10 = 10(z - 1)
and add the 2 tens that are in bold.
2z + 10 + 5z +10 = 10(z - 1)
2x + 20 + 5z = 10(z-1)
Theres a lot more steps but just
comebine like terms
Distribute
Stubtract 20 from both sides
simplify
subtract 10z from both sides
simplfy
divide both sides by the same factor
and simplfy.
What is the length of HI? (Giving 40 points please hurry!)
Answer: Hope this helps you!
3
Step-by-step explanation:
9 (total amount) - 6 (1 part of it) = 3 (the other part of it)
Brainliest?
What is the minimum of the data?
0
5
7
13
Answer:
b; [5]
Step-by-step explanation:
i took the quiz
Lexi had 3/4 of an apple pie. She gave 1/4 of what she had to her friend Julie. What fraction of the whole pie did Julie get?
Answer:
3/16 of the whole pie
Step-by-step explanation:
Lexi had 3/4 of an apple pie. She gave 1/4 of it to Julie. That means what Julie receives is the product of the whole and the portion.
==========================================================
Solving :
Therefore, the equation is :
⇒ 3/4 × 1/4
⇒ 3/16 of the whole pie
What is the remainder when f(x) = x³- 13x² + 40x + 18 is divided by x-7? Show your work.
Answer:
remainder = 4
Step-by-step explanation:
using the remainder theorem
when f(x) is divided by (x - a) then the remainder is f(a)
so when f(x) is divided by (x - 7) the remainder is f(7) , that is
f(7) = 7³ - 13(7)² + 40(7) + 18
= 343 - 13(49) + 280 + 18
= 343 - 637 + 298
= 4
Hence, the remainder is [tex]4[/tex].
What is the remainder value?
The remainder is the amount "left over" after performing some computation. In arithmetic, the remainder is the integer "left over" after dividing one integer by another to produce an integer quotient.
Applying the remainder theorem
In general when [tex]f(x)[/tex] is divided by [tex](x - a)[/tex] then the remainder is [tex]f(a)[/tex].
So, here when [tex]f(x)[/tex] is divided by [tex](x - 7)[/tex] the remainder is [tex]f(7)[/tex], that is
[tex]f(7)=7^3-13(7)^3+40(7)+18\\=343-13(49)+280+18\\=343-637+298\\=4[/tex]
Hence, the remainder is [tex]4[/tex].
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Help help help help help me
Answer:
Step-by-step explanation:
Is 3²+3³ equal to 3⁵?
( yes, no ) the expressions (are, are not ) equal
Answer: No the expressions are not equal
Work Shown:
3² = 3*3 = 9
3³ = 3*3*3 = 27
3²+3³ = 9+27 = 36
3⁵ = 3*3*3*3*3 = 243
The 3²+3³ = 36 doesn't match up with 3⁵ = 243
Therefore, the two expressions are not equal.
Answer:
Step-by-step explanation:
No, the expressions are not equal.
3^2 + 3^3 = 9 + 27 = 36
3^2 * 3^3 = 3^5
keep the base the same and add the exponents
The ratio for sin B?
Answer:
[tex]d)~ \dfrac{20}{29}[/tex]
Step-by-step explanation:
[tex]\sin B = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\~~~~~~~~=\dfrac{AC}{AB}\\\\~~~~~~~~=\dfrac{20}{29}[/tex]
Can someone please help me? I put the answer at 47.1 but it says it's wrong.
Answer:
47.14 cm
Step-by-step explanation:
Circumference :
π x diameterπ x 1515π15 x 22/7330/747.14 cm (approximately)which unit of measure would be appropriate for the area of a bulletin board that is 2 meters tall and 6 meters wide
Answer:The entire area would be 12 square meters.
Step-by-step explanation:
2 x 6 square meters = 12 square meters. which is the entire area.
Can y’all help find the surface area please and thank you
To find the area of a complex shape:
⇒ must cut the whole shape into a simpler shape
square with side lengths of 4 in2 triangles with a base of 4 in. and a height of 8 in.2 triangles with a base of 4 in. and a height of 10 in.Let's calculate:
Area of 2 triangles with a base of 4 in. and a height of 8 in.[tex]Area = \frac{1}{2}*4*8 + \frac{1}{2}*4*8=16+16=32\\[/tex]
2 triangles with a base of 4 in. and a height of 10 in.[tex]Area = \frac{1}{2}*4*10 + \frac{1}{2}*4*10=20+20=40[/tex]
square with side lengths of 4 in[tex]Area = 4 * 4=16[/tex]
Total Area: 32 + 40 + 16 = 88 in²
Answer: 88 in²
Hope that helps!
(05.06)Keisha ran to swim practice but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes, and together they ran the rest of the way to practice, where they stayed for 1 hour.
Which graph best represents the scenario described?
The graph third represents the provided situation first line increases and then constant then again increases and becomes constant.
What is a line graph?A line graph is a graph made up of segments of straight lines that connect the depicted data points.
We have:
Keisha ran to swim practice but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes, and together they ran the rest of the way to practice, where they stayed for 1 hour.
Based on the information given we can say graph third represents the situation.
First Keisha ran to swim practice so the line first increases and then she but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes which means the line should be constant.
Again they both ran so line increases.
Then they both stayed for 1 hour, so the line should be constant.
Thus, the graph third represents the provided situation first line increases and then constant then again increases and becomes constant.
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In 8 years Jamie will be three times as old as she is now. How old is Jamie?
Answer:
x=4
Step-by-step explanation:
Based on the given conditions, formulate:
x+8=3×x
Rearrange unknown terms to the left side of the equation:
x-3x=-8
Combine like terms:-2x=-8
Divide both sides of the equation by the coefficient of variable:x=-8/-2
Rewrite the fraction:8/2
Cross out the common factor:x=4
get the result:x=4
Answer: 4
Type the correct answer in each box. write each answer as a fraction, using / for the fraction bar. wesley draws a card at random from a well-shuffled deck of playing cards. the probability that wesley draws an ace or a jack is . the probability that wesley draws a number card or a black card is .
The probability that Wesley draws an ace or a jack is 0.154 and the probability that Wesley draws a number card or a black card is 0.846
The probability of Ace or jackIn a standard deck of cards, we have:
Total = 52
Ace = 4
Jack = 4
Ace and Jack = 0
The probability is then calculated as:
P = P(Ace) +P(Jack) - P(Ace and Jack)
This gives
P = 4/52 + 4/52 - 0/52
Evaluate
P = 0.154
Hence, the probability that Wesley draws an ace or a jack is 0.154
The probability of Number card or black cardIn a standard deck of cards, we have:
Total = 52
Number card = 36
Black = 26
Number card and Black = 18
The probability is then calculated as:
P = P(Number card) +P(Black card) - P(Both)
This gives
P = 36/52 + 26/52 - 18/52
Evaluate
P = 0.846
Hence, the probability that Wesley draws a number card or a black card is 0.846
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Answer: my guess is 4/13 and 11/13
Step-by-step explanation:
sorry if im wrong
A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9 ft. Find the length of the ladder if the length is 3 ft more than its distance from the wall.
Answer:15
Step-by-step explanation:
A ladder is resting against a wall.The top of the ladder touches the wall at a height of 9 feet.Find the length of the ladder if the length is 3 feet more than its distance from the wall.
Let the distance of the ladder from the wall be x
The length of the ladder = x+3
The ladder touches the wall at a vertical height of 9 feet.
(x+3)^2 = x^2 + 9^2 ( using the pythagoras theorem
x^2 + 6x+ 9 = x^2 + 81
x^2- x^2 +6x = 81-9
6x= 72
x= 12
Therefore the length of the ladder will be x+3 = 12 + 3 =15 Answer.
Find the area please
=202 in²
Divide the shape into 2.
Area of a rectangle= Length * Width
So..
The first shape = 13in*4in = 52in²
The second shape = 15in * 10in = 150in²
150 + 52 = 202in²
Consider triangle ABC. What is b?
37-(y-19)=2y this is a problom from rsm
Answer:
y = 56/3
Step-by-step explanation:
Distribute:
37 - (y - 19) = 2y
37 - y + 19 = 2y
Add the numbers:
37 - y + 19 = 2y
56 - y = 2y
Rearrange the terms:
56 - y = 2y
-y + 56 = 2y
Solution:
y = 56/3
Patrick buys a wrench with a listed price of $22. Which of these coupons will deduct the most from Patrick's purchase price?
A. Save $5 + 10%
B. Save $10
C. 15% off
D. Save 25%
Answer:
B: Save $10
Step-by-step explanation:
A: $14.80, B: $12, C:$18.70, D: $16.50
What are the approximate solutions to the equation? A. X=1.2 and x=3 B. X= 1.7 and x= 6 C. X= 2.6 and X = -3 D. X=1 and x=4.2
The solutions are where the red and blue lines cross each other.
Answer would be D. X ≅ 1 and x ≅ 4.2
Rectangular prism A measures 2 inches by 7 inches by 8 inches. Rectangular prism B measures 1 inches by 5 inches by 10 inches.
Rectangular Prism A:
Surface Area: __inches²
Volume: __inches³
Surface Area to Volume Ratio: (Enter as an improper fraction)
Rectangular Prism B:
Surface Area: __inches²
Volume: __inches³
Surface Area to Volume Ratio: (Enter as an improper fraction)
The Volume for Rectangular prism A is 172 inches², Volume = 112 inches³
Surface Area to Volume Ratio = 43/28
Mensuration of SolidsGiven Data
Rectangular prism A
Length = 2 inches
Width = 7 inches
Height = 8 inches
Surface Area
A=2(wl+hl+hw)
A=2(7*2+8*2+8*7)
A=2(14+16+56)
A= 172 inches²
Volume
Volume = L*W*H
Volume = 2*7*8
Volume = 112 inches³
Surface Area to Volume Ratio
= 172/112
= 43/28
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Select the correct answer from each drop-down menu.
This graph shows the relationship between demand and price for goods sold at a shop. Anna plots the data on a scatter plot and draws a line of best fit to represent the relationship as shown.
This is not the line of best fit because the line . Anna could get a better fit by the y-intercept and the slope.
This is not the line of best fit because the line is not through the middle of the data points.
What is line of best fit?
The line of best fit is a line through a scatter plot of data points that best expresses the relationship between those points.
In this case, this is not the line of best fit because the line is not through the middle of the data points.
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25 Select the correct answer. What is the average rate of change of f(x), represented by the graph, over the interval [-1, 2]? A. -2.5 B. -2 C. 2.5 D. 3 E. 6
The average rate of change of the function over the interval [-1, 2] is: C. 2.5.
How to Find the Average Rate of Change?The average rate of change over an interval of a function is: f(b) - f(a) / b - a.
Given the interval [-1, 2]:
a = -1; f(a) = -5
b = 2; f(b) = 2.5
Average rate of change = (2.5 - (-5)) / (2 - (-1)) = 7.5/3
Average rate of change = 2.5 (option C).
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55 POINTS!!!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!! PLS HELP ASAP!!!!!!!!!!
Danielle is trying to solve the equation [tex]8^x=\frac{1}{64}[/tex] Explain in detail how Danielle should solve this problem. Then solve it step by step showing all your work and tell Danielle what the answer should be.
Answer:
[tex]x=-2\\[/tex]
Step-by-step explanation:
[tex]8^x=\frac{1}{64}\\xlog8=log\frac{1}{64}\\x=\frac{log\frac{1}{64}}{\log8}\\x=-2[/tex]
First we write the equation given
Next we take the log of both sides. This turns [tex]x[/tex] into a normal term instead of an exponent, but turns [tex]8[/tex] and [tex]64[/tex] into the log version of themselves.
Next we can divide both sides by [tex]log8[/tex] to isolate [tex]x[/tex].
This gives us our answer of [tex]\boxed{-2}[/tex]
K, L, and M are points on the circle. KS is a tangent to the circle at K. KM is a diameter and triangle KLM is isosceles. Find the value of z.
Using the circle theorems, the value of z is 45
Circle GeometryFrom the question, we are to determine the value of z
From the given information,
KM is a diameter
∴ ∠KLM = 90° (Angle in a semicircle)
Also, ΔKLM is isosceles
∴ ∠KML = ∠MKL (Base angles of an isosceles triangle)
Then,
∠KML + ∠MKL + ∠KLM = 180° (Sum of angles in a triangle)
2× ∠KML + 90° = 180°
2× ∠KML = 180° - 90°
2× ∠KML = 90°
∠KML = 90°/2
∠KML = 45°
Now, we can observe that
z° = ∠KML (Angles in alternate segment)
But,
∠KML = 45°
∴ z = 45
Hence, the value of z is 45
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which sequence of transformations could be used to move triangle RST so it completely covers triangle R”S”T?
Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"
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Find the volume of the following figure.
6 cm3
7 cm3
8 cm3
5 cm3
Answer:
7 cm³
Step-by-step explanation:
Assume each cube has an edge 1 cm in length.
Each cube has volume 1 cm³.
There are 7 cubes.
volume = 7 cm³
for what value of x is the rational expression below equal to zero?
3x+15
———
6-x
[tex]~~~~~~\dfrac{3x+15}{6-x} = 0\\\\\implies 3x +15 = 0\\\\\implies 3x = 0-15\\\\\implies 3x = -15\\\\\implies x = -\dfrac{15}3\\\\\implies x = -5[/tex]
Answer:
the answer= -5
4 3/5 - 2 5/6
[four and three fifths minus two and five sixths]
(I got 2 and 7 thirtieths but my teacher had 1 and 23 thirtieths, help?]
Hey there!
4 3/5 - 2 5/6
= 23/5 - 17/6
= 53/30
≈ 1 23/30
Therefore, the answer should be:
53/30
OR
1 23/30
(Either should work because they are equivalent to each other)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Value of the given mixed fraction [tex]4\frac{3}{5} -2\frac{5}{6}[/tex] is equals to [tex]1\frac{23}{30}[/tex] .
What is mixed fraction?" Mixed fraction is defined as the fraction representing whole fraction along with the quotient and remainder."
Convert mixed fraction into improper fraction
[tex]m\frac{p}{q} = \frac{q*m+p}{q}[/tex]
According to the question,
Given mixed fraction,
[tex]4\frac{3}{5} -2\frac{5}{6}[/tex]
Convert mixed fraction into improper fraction we get,
[tex]=\frac{23}{5} -\frac{17}{6} \\\\=\frac{138-85}{30} \\\\=\frac{53}{30}\\ \\= 1\frac{23}{30}[/tex]
Hence, value of the given mixed fraction [tex]4\frac{3}{5} -2\frac{5}{6}[/tex] is equals to [tex]1\frac{23}{30}[/tex] .
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What similarity statement can you write relating the three triangles in the diagram?
Answer:
They are both right-angled triangles.
Step-by-step explanation:
the average of 5 girls is 6 yrs. the average of 4 of them is 16½. what is d age of d fifth gal
Answer:
This assumes the question should read:
"The average of 5 girls is 16 [not 6] yrs. the average of 4 of them is 16½. what is d age of d fifth gal
The age, d, is 14 years.
Step-by-step explanation:
When the girl with age d is not included, the average goes up to 16.5 years. Let's define GroupA as the sum of the ages of the 4 girls whose average age is 16.5 years. d is the age of the girl that is removed from the average.
We know that all the girls (GroupA + d) have an average age of 16 years:
(GroupA + d)/5 = 16 years [Add the ages for all the girls (GroupA and d) and divide by 5 to obtain the average age for the larger group].
We know that when d is removed, the average for the 4 remaining girls (GroupA) is 16.5 years:
(GroupA)/4 = 16.5 years
This tells us the sum of the ages for GroupA:
GroupA = 4*(16.5)
GroupA total = 66 years
From above: (GroupA + d)/5 = 16 years
Since GroupA = 66 years, (66 years + d)/5 = 16 years
(66 years + d) = 90 years
d = 14 years