Answer:
The sum of all the terms is -775.
Step-by-step explanation:
This appears to be an arithmetic sequence, with a common difference of 4.
The problem is, we don't know how many terms there are!
To find this, use the following formula:
last number = first number + (n - 1) * difference
In this case:
35 = -85 + (n - 1) * 4
35 = -85 + 4n - 4
4n = 124
n = 31
This means there are 31 terms in this sequence.
Now, for the sum. Use the following formula:
n(first number + last number), take this product and divide it by 2.
In this case:
31(-85 + 35) = -1550 / 2 = -775
On average, indigo drinks 2/5 of a 10-ounce glass of water in 4/5 of an hour. how much water does she drink, in glasses per hour? enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Indigo drinks 5 ounces glasses per hour.
What is fraction?A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.
As in [tex]\frac{4}{5}[/tex] hour she drinks =10*[tex]\frac{2}{5}[/tex]
= [tex]\frac{20}{5}[/tex]
=4 ounce
She is drinking 4 ounce in [tex]\frac{4}{5}[/tex] hours,
= [tex]\frac{4}{\frac{4}{5} }[/tex]
= [tex]4*\frac{5}{4}[/tex]
=5 ounce in an hour.
She drink 5 ounces glasses per hour.
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An element decays by 50% every hour (in other words, it
has an hour half-life). If you have 48 grams of the element,
then how many grams will there be in 5 hours?
Answer:
1.5 grams
Step-by-step explanation:
This is because if there are five hours there will be 5 half lives due to it decaying 50% every hour. Therefore we would have to dived 48 by 2, 5 times or in other words 48÷[tex]2^{5}[/tex] = 1.5
Find the sum.
796
583
+ 889
Answer:
2258
Step-by-step explanation:
ms. Diaz buys strawberries by the pound at a farmers market . she pays $21.25 for all her strawberries. one pound of strawberries cost $4.25
Answer:
5 strawberries
Step-by-step explanation:
$21.25÷$4.25=5
#45 will give brainliest
Answer:
(-2, 3)
Step-by-step explanation:
julia and her friends are making kites out of paper. For each kite, they need a piece of paper that is \dfrac{65}{100} \text{ meter} 100 65 meterstart fraction, 65, divided by, 100, end fraction, start text, space, m, e, t, e, r, end text wide. How many centimeters of paper will they need to make 444 kites?
Answer:
260 cm
Step-by-step explanation:
Each 1/00 of a meter is 1 cm, so 65/100 meters is 65 cm. If that is the length of paper required for 1 kite, then 4 times that length will be required for 4 kites.
__
The paper required for 4 kites is ...
(65 cm) × 4 = 260 cm
7. If the perimeter of the rectangle is 6x + 18, then what is the length of the rectangle? (level 4)
x + 5
length
Answer:
[tex]l = 2x + 4[/tex]
Step-by-step explanation:
[tex]p = 6x + 18 \\ w = x + 5 \\ p = 2(l + w) \\ 6x + 18 = 2(l + x + 5) \\ 6x + 18 = 2l + 2x + 10 \\ 2l = 4x + 8 \\ l = 2x + 4[/tex]
if 6y+3x+=15 what is the value of 5(3x+6)?
Answer: 15x+30
Step-by-step explanation:
The value of 5(3x+6) is 15x+30
What is the distributive propertyTo “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Given that;
[tex]5(3x+6)[/tex]
/ \
[tex]15x+30[/tex]
Therefore, The value of 5(3x+6) is 15x+30
Learn more about the distributive property here:
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Does anyone know this one I would love help
Answer:
c
Step-by-step explanation:
the graph shows a constant speed an no change in distance
Question 2 of 10
What is the value of the fraction below?0/25
the answer is A.0 because 0 devided by a number iz zero
Angles J X M, M X N, and N X P form a straight line. Angle M X N is a right angle.
Complete the sentence:
Complete the sentence:
If Angle J X M has a value of 57 degrees, then Angle N X P has a value of
degrees.
Answer:
123 degrees
Step-by-step explanation:
180 - 57 = 123
Answer:
33
Step-by-step explanation:
123 is not the answer, on edge
BRAINLIEST To whoever can give the correct answer with an in-depth explanation !
Step-by-step explanation:
1
area of the square :
6×6 = 36 cm²
area of the triangle :
6×4/2 = 6×2 = 12 cm²
height of triangle :
area of the triangle is
10×height/2 = 40
10×height = 80
height = 80/10 = 8 cm
width of the logo :
the central square has ashtray an area of 5×5 = 25 cm².
that leaves us 125 - 25 = 100 cm² for the 4 triangles.
I assume all 4 triangles are equal, so each has an area of 100/4 = 25 cm².
the area of such a triangle is
baseline × height / 2.
so, in our case
5 × height / 2 = 25
5 × height = 50
height = 10 cm
and so, the width of the logo is 2 times the height of these side triangles, and 1 time the side length of the central square :
2×10 + 5 = 25 cm
(6×1,000)+(1×100)+(2×10)+(9× 10 1 )+(4× 100 1 )=?
Answer:
11033
Step-by-step explanation:
I NEED HELP ASAP
The area of a square is 196 in2. What is the length of its side?
Choose one answer.
A. 12 inches
B. 16 inches
C. 13 inches
D. 14 inches
area of a square = s²
s² = 196
s = √196
therefore s = 14cm
hope it helps...!!!
Answer:
D. 14
Step-by-step explanation:
14 x 14
= 196
Hope it helps :))
what is 635 divided by 8
Answer: 79.375
Step-by-step explanation:
Answer:
79.375
Step-by-step explanation:
hope i helped
Which of the following could be the length of the sides of the triangle. YES or NO
1. 13,10,11
2. 12,8,10
3. 2,2,4
4. 6,7,8
5. a,b,a+b
6. 21,9,38
7. 20,20,41
8. 4.5,8.5,12.5
9. 12.4,7.2, 20
10. 56,44,90
Answer:
it's I'd 20,20,41 number seven
if 5(3x-1)=55 what is the value of 2x-2
Hey ! there
Answer:
Value of 2x - 2 is 6 .Step-by-step explanation:
In this question we are provided with an equation that is 5 ( 3x - 1 ) = 55 and we are asked to find the value of 2x - 2 .
Firstly , we need to find the value of x . So we need to solve the equation .
SOLUTION : -
[tex] \quad \longmapsto \qquad \: 5(3x - 1) = 55[/tex]
Step 1 : Dividing with 5 on both sides :
[tex] \quad \longmapsto \qquad \: \dfrac{ \cancel{5}(3x - 1)}{ \cancel{5}} = \cancel{\dfrac{55}{5} }[/tex]
On cancelling , We get :
[tex] \quad \longmapsto \qquad \:3x - 1 = 11[/tex]
Step 2 : Adding 1 on both sides :
[tex] \quad \longmapsto \qquad \:3x - \cancel{1} + \cancel{1} = 11 + 1[/tex]
On simplifying , We get :
[tex] \quad \longmapsto \qquad \:3x = 12[/tex]
Step 3 : Dividing with 3 on both sides :
[tex] \quad \longmapsto \qquad \: \dfrac{ \cancel{3}x}{ \cancel{3}} = \cancel{ \dfrac{12}{3} }[/tex]
We get ,
[tex] \quad \longmapsto \qquad \: \underline{\boxed{\frak{x = 4}}}[/tex]
→ Therefore , value of x is 4 .
Verifying : -
Now we are verifying whether our answer is wrong or right . So ,
5 ( 3x - 1 ) = 555 { 3( 4 ) - 1 } = 555 ( 12 - 1 ) = 555 ( 11 ) = 55L.H.S = R.H.SHence , Verified .Therefore , our value of x is correct/valid .
We need to find the value of 2x - 2 .
[tex] \quad \longmapsto \qquad \:2x - 2[/tex]
So substituting value of x in it :
[tex]\quad \longmapsto \qquad \:2( \bold{4}) - 2[/tex]
Multiplying 2 with 4 :
[tex]\quad \longmapsto \qquad \:8 - 2[/tex]
Subtracting 2 from 8 :
[tex]\quad \longmapsto \qquad \: \blue{\underline{\boxed{\frak{6}}}} \quad \: \bigstar[/tex]
Henceforth, value of 2x - 2 is ❝ 6 ❞.#Keep Learninga circle has a radius of 20 centimeters and a central angle that measures 216 degrees find the length of the arc defined by this central angle
Answer:
24π cm.
or
75.40 cm to the nearest hundredth
Step-by-step explanation:
The circumference = 2 π r = 2 * π *20
= 40π cm.
Length of the arc = 40 π * 216/360
= 40 * 0.6 * π
= 24π cm
3.75
divided by 25
round off to the nearest rand
Answer:
0.15 is the answer
Step-by-step explanation:
Emma is great at the standing long jump. Her best jump is 10 feet 8 inches. How many inches is this?
Answer:
128 in.
Step-by-step explanation:
1 ft = 12 in
10 x 12 = 120
120 + 8 = 128
128 in.
Mallory wants to buy a new window air conditioning unit. The cost for the unit is $329.99. If she plans to run the unit three months out of the year for an annual operating cost of $108.78, which function models the cost per year over the lifetime of the unit, C(n), in terms of the number of years, n, that she owns the air conditioner?
The function (329.99 + 108.78n)/n will represent the cost per year over the lifetime of the unit in terms of the number of years.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
Cost for the unit = $329.99
Annual operating cost = $108.78
C(n) represents the cost per year
n represents the number of years
The function can be modelled:
C(n) = (329.99 + 108.78n)/n
Thus, the function (329.99 + 108.78n)/n will represent the cost per year over the lifetime of the unit in terms of the number of years.
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PLEASE HELP
Eleanor and Max used two rectangular pieces of plywood, placed end-to-end, to make a long rectangular stage for the school play. One board was 4 feet long, and the other was 4 1/2 feet long. The two pieces of plywood had equal widths. The total area of the stage was 44 5/8 square feet. What was the width of the plywood?
What is the slope of the line shown below?
Answer:
7/3
Step-by-step explanation:
-5-9/0-6
-13/-6= 2.167777
y2-y1/x2-x1
Answer:
C
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (6, 9) ← 2 points on the line
m = [tex]\frac{9-(-5)}{6-0}[/tex] = [tex]\frac{9+5}{6}[/tex] = [tex]\frac{14}{6}[/tex] = [tex]\frac{7}{3}[/tex]
A rectangular prism has a length of 19 meters, a height of 13 meters, and a width of 14 meters. What is its volume, in cubic meters?
Answer:
V=whl=14·13·19=3458m³
Answer:
1152.66 m³
Step-by-step explanation:
Volume = ⅓ × base area × height
= ⅓ × (length × width) × height
= ⅓ × 19 × 14 × 13
= ⅓ × 3458
= 1152.66 m³
Solve 2 log x = log 36. x = 1.6 x = 6 x = 18 x = 72
Answer:
Answer is B. X=6, Positive and negitive terms cancel out
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
I took the test
Brain Builders
9. Each bag can hold a mass of 3 kilograms, Wade
has 25 kllograms of fruit to put into bags. What is
the fewest number of bags he will need? Draw a
picture to support your answer.
Answer:
i think its 8
Step-by-step explanation:
25 divided by 3 is eight.
I WILL MARK BRAINLIEST
Answer:
D
Step-by-step explanation:
A boxed area represents 25% of the data set. This means that 70-85 is 25% and 85-100 is 25%
25%+25%=50%
8.
Find the probability that two of the customers get the silver cars and one gets a white ca
Answer: 2:1
Step-by-step explanation:
the probability that they get they get the silver cars and someone else gets the white is 2:1
Select the quotient that is less than 1?
A) 2.805 ÷ 2.58
B) 1.001 ÷ 1.01
C) 0.46 ÷ 0.406
help meee pleaseee ~ :)) <3
[tex]v = \frac{lwh}{3} [/tex]
[tex]v = \frac{9 \times 8 \times 9}{3} [/tex]
[tex]v = 216 \: {cm}^{3} [/tex]
Volume of the rectangular prism:[tex]v = lwh[/tex]
[tex]v = 8 \times 7 \times 9[/tex]
[tex]v = 504 \: {cm}^{3} [/tex]
Total volume:[tex]v = 216 + 504[/tex]
[tex]v = 720 \: {cm}^{3} [/tex]
volume of the rectangular pyramid is 216 cm^3.
volume of the rectangular prism is 504 cm^3.
Total volume is 720 cm^3.