Answer:
[tex]\boxed{\sf{4t+\dfrac{4}{5} }}[/tex]Step-by-step explanation:
In order to solve this, you must use the distributive property.
[tex]\sf{\dfrac{4\left(5t+1\right)}{5}}[/tex]
Distributive property:
⇒ A(B+C)=AB+AC
⇒ 4(5t+1)
Multiply by expand.
4*5t=20t
4*1=4
Rewrite the problem down.
20t+4
20t+4/5
[tex]\text{FRACTION RULES: }\\\\\\\Longrightarrow: \sf{\dfrac{A\pm \:B}{C}=\dfrac{A}{C}\pm \dfrac{A}{C}}[/tex]
[tex]\Longrightarrow: \sf{\dfrac{20t+4}{5}=\dfrac{20t}{5}+\dfrac{4}{5}}[/tex]
You have to divide the numbers from left to right.
⇒ 20/5=4
[tex]\Longrightarrow: \boxed{\sf{4t+\dfrac{4}{5} }}[/tex]
Therefore, the correct answer is 4t+4/5.Answer:
[tex]4t + \frac{4}{5}[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]\frac{4(5t + 1)}{5}[/tex]
[tex]\frac{(4 * 5t) + (4 * 1)}{5}[/tex]
[tex]\frac{20t + 4}{5}[/tex]
Step 2: Isolate the numerator into two fractions
[tex]\frac{20t +4}{5}[/tex]
[tex]\frac{20t}{5} + \frac{4}{5}[/tex]
[tex]4t + \frac{4}{5}[/tex]
Answer: [tex]4t + \frac{4}{5}[/tex]
A teacher has been given £35 to spend on pencils and rulers.
A packet of 12 pencils costs £2.15.
A pack of 30 rulers costs £6.00.
She buys 4 packs of rulers and spends the rest on packets of pencils.
How many packets of pencils can she buy?
11 What is the value of k if the mid-point of the line joining (1 – k, 4) and (2, k + 1) is (-k, k)?
Answer:
k = -3
Step-by-step explanation:
Given
(-k, k) is the midpoint of the line joining (2, k + 1) and (1 - k, 4)Solving
Equate the midpoint and endpoints using the Midpoint FormulaLet's equate the x parts-k = 2 + 1 - k / 2-2k = 3 - k-k = 3k = -3How to multiply a ratio then divided by 3.
Answer:
Heres the answer
Step-by-step explanation:
To calculate the ratio of an amount we divide the amount by total number of parts in the ratio then multiply the answer by original ratio.
what is the outcome when you choose 8 pairs of summer shorts
last one i swear please help
Answer:
Step-by-step explanation:
find the sum or difference [-3 0 5 -7 + -4 2 -1 8] 30 points please help me.
Answer:
-372
Step-by-step explanation:
-305 -7 + (-42) -18
-312 + (-42) -18
-312 - 42 - 18
-354 - 18
-372
1. Find the sum of the series
15
∑ (2n-1)
n-1.
Show your work.
[tex]\\ \rm\Rrightarrow \sum^{15}_{n=1}2n-1[/tex]
[tex]\\ \rm\Rrightarrow 2(1)-1+2(2)-1\dots+2(15)-1[/tex]
[tex]\\ \rm\Rrightarrow 1,3,5\dots 29[/tex]
Sum of first 15 odd nos
n²15²225A bag contains 3 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?
Answer:
[tex]\frac{3}{13}[/tex]
Step-by-step explanation:
First you need to find how many marbles there are in total, so 3+8+2= 13
The probability of the marble being red is [tex]\frac{3}{13}[/tex] then
Hope this helps! :)
An old car has to travel a 2-mile route, uphill and down. Because it is so old, the car can climb the first mile, the ascent, no faster than an average speed of 15 mi/h. How fast does the car have to travel the second mile, on the descent, to achieve an average speed of 30 mi/h for the trip
Answer:
2s + 30 = 2s
Step-by-step explanation:
Time up hill + time down hill = total time
:
Multiply equation by 30s; results
2s + 30 = 2s
:
find the Perimeter and area
Answer:
perimeter = 22 + 3π
area = 48 + (9/2)π
Step-by-step explanation:
perimeter = 8 + 6 + 8 + (1/2)(6π) = 22 + 3π
area = 8(6) + (1/2)(3^2)π = 48 + (9/2)π
Can someone help me with this? I need it before Monday. I will give brainlist!! If the picture is too blurry here is the problem:
Michelle makes jewelry boxes containing drawers of equal size. The numbers of drawers in three ditterent ewelry boxes and the corresponding total volumes of the drawers are shown in the table below. JEWELRY BOXES Number of Drawers Total Volume (cubic inches) 2 5 3 7.5 4 +6 10 Write an equation for the relationship between the number of drawers in the jewelry box, d, and the total volume of the drawers in the jewelry box, V. Use your equation to determine the number of drawers in a jewelry box with a total volume of 17.5 cubic inches Show your work.
Answer:
1. total volume of box=2.5(V)D
2. 7 Drawers
Step-by-step explanation:
2.5 = V
so 1 draw = 2.5 cubic inches of volume
so V(2.5) × D(number of drawers) = total volume of drawers in the box
Five gallons of gasoline cost \$ 22. 80$22. 80.
What is the price per gallon?
Answer:
$4.56
Step-by-step explanation:
22.80/5 = 4.56
Clover O Donnell
Problem iu: PRAEUS
A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image.
13 in
10 in
1 in
5 in
What is the volume of this piece?
Do not include units (in?) in your answer.
copied for free from openupresources.org
below as a number example: 5.3.1.4 1/2, or 3/2)
The area of a rectangle is (x4 4x3 3x2 – 4x – 4), and the length of the rectangle is (x3 5x2 8x 4). if area = length × width, what is the width of the rectangle? x 1 x – 9 x 4 x – 1
Answer:
Area = x4 + 4x3 + 3x2 - 4x - 4
Length = x3 +5x2 + 8x + 4
Width = Area / Length.
Performing long division with polynomial.
x4 + 4x3 + 3x2 - 4x - 4 / x3 + 5x2 + 8x + 4 = x-1
Width = x-1
Step-by-step explanation:
The value of the width of the rectangle is,
⇒ (x - 1)
We have to given that;
In a rectangle;
Area = x⁴ + 4x³ + 3x² - 4x - 4
Length = x³ +5x² + 8x + 4
We know that;
Width = Area / Length.
Hence, Performing long division with polynomial.
Width = x⁴ + 4x³ + 3x² - 4x - 4 / x³ +5x² + 8x + 4
= x - 1
Thus, The value of the width of the rectangle is,
⇒ (x - 1)
Learn more about the rectangle visit:
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A 1,500-gallon tank contains 200 gallons of water. Water begins to run into the tank at the rate of 75 gallons
per hour. When will the tank be full but not overflowing?
Answer:
17hrs (a little more)
Step-by-step explanation:
The tank is 1500 gallon capacity, it already contains 200 gallons.
1500-200=1300
Now, you have to figure how many hrs it will take at 75 gallons / hr to reach the additional 1300 gallons.
1300÷75= 17.33
It says full, but not overflowing. So I would say around 17hrs
As with simple linear regression, we desire the residuals to (select all that apply) have large variance. have constant variance. have a mean close to 1. have a mean close to 0. have in increasing mean.
As with simple linear regression, we desire the residuals to:
Have constant variance.Have a mean close to 0. What is a simple linear regression?It should be noted that a simple linear regression simply means a model that describes the relationship between a dependent variable and an independent variable.
In this case, as with simple linear regression, we desire the residuals to have constant variance and have a mean close to 0.
Learn more about regression on:
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Calla bought 8 writing utensils for a total of $30. Pens cost $4 each and pencils cost $3 each. How many pens did she buy?
-0.056 + 0.27 = ?
Please show ALL of your work and how you got your answer! (-:
✨50 POINTS!!✨
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textbf{GUIDE to remember: }[/tex]
[tex]\bullet\large\textsf{\ 2 negatives = \bf positive}\\\bullet\large\textsf{2 positives = \bf positive}\\\bullet\large\textsf{1 negative \& 1 positive = \bf negative}\\\bullet\large\textsf{1 positive \& 1 negative = \bf negative}\\\\\large\boxed{Since, your\ equation\ contains\ 1 \ negative\ \& \ 1\ positive, your \ result}\\\large\boxed{will \ most \ likely \ be \ a \ \huge\boxed{{negative}}}\large\checkmark[/tex]
[tex]\large\boxed{\rm{EQUATION: -0.056 + 0.27}}[/tex]
[tex]\large\text{SOLVING FOR THE EQUATION PROVIDED ABOVE}\uparrow \\\\\large\text{Start at \boxed{\rm{-0.056}} and \underline{go \bold{up}} \boxed{\rm{0.27}} \underline{\underline{spaces to the right}} side of}\\\large\text{the number line.}[/tex]
[tex]\large\text{You should have landed/stopped on \boxed{\rm{0.214}}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be \boxed{\mathsf{0.214}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
what is the area of 10in circle
Answer:
Step-by-step explanation:
going by the assumption tha the radius is 10inches.
area would be pi r^2
which would be pi(10)^2 = 100pi =314.16 (rounded)
need help with this question 11
The garden club earned $15dollar sign, 15 per hour by weeding neighborhood gardens for t hours. A generous donor has agreed to double their earnings.
How much did the garden club earn in all?
Answer:
Step-by-step explanation:
the answer should be 15t times 2.
Answer:
anser is 60$
Step-by-step explanation:
15*2 = 30 (total without donor)
donor is multiplying what the earned my 2 so 30*2+60
What are the vertex and x-intercepts of the graph of the function given below?
y=x²-2x-48
O A. Vertex: (-1, -21); intercepts: x = 6,4
B. Vertex: (1, -40); intercepts: x = 6,7
C. Vertex: (1,-49); intercepts: x = 8,-6
D. Vertex: (0, 0); intercepts: x= -4, 6
SUBMIT
Answer:
C. Vertex: (1,-49); intercepts: x = 8,-6Step-by-step explanation:
x²-2x-48 = (x²-2x +1) - 1 - 48
= (x - 1)² - 49
Then
The vertex is (1 , - 49)
==================
x²-2x-48 = 0
⇔ (x - 1)² - 49 = 0
⇔ (x - 1)² = 49
⇔ x - 1 = 7 or x - 1 = -7
⇔ x = 8 or x = -6
Then
intercepts: x = 8,-6
please help!! it’s select all that apply :)
Answer:
1. [tex]y = 4 * 2^x^+^1[/tex]
4. [tex]y = 2^x^+^3[/tex]
Step-by-step explanation:
First one:
[tex]y = 4 * 2^x^+^1\\y = 4 * 2^x * 2^1\\y = 8 * 2^x[/tex]
Fourth one:
[tex]y = 2^x^+^3\\y = 2^x + 2^3\\y = 8 * 2^x[/tex]
3 1/8 x 90 please help me thank you everyone ! :)
Answer:
[tex]2248\frac{1}{4}[/tex]
Step-by-step explanation:
given: [tex]3\frac{1}{8} * 90[/tex]
now, we turn both into improper fractions:
25/8 * 90/1 :: [tex]\frac{25}{8} * \frac{90}{1}[/tex]
now we multiply across
[tex]\frac{25}{8} * \frac{90}{1} = \frac{2250}{8}[/tex]
now turn into a mixed number:
[tex]\frac{2250}{8} = 2248\frac{2}{8}[/tex]
simplify! :
[tex]2248\frac{1}{4}[/tex]
THE SUM OF THREE CONSECUTIVE EVEN INTEGERS IS 72 FIND THE THIRD INTEGERS.
Answer: The three consecutive even numbers are 22, 24, 26
22+24+26 = 72
========================================================
Explanation:
x = first even numberx+2 = second even number directly right after x(x+2)+2 = x+4 = third even number directly after x+2For example, if x = 12, then we'd have x+2 = 12+2 = 14 and x+4 = 14+4 = 18.
However 12+14+18 = 44 is not 72 like we want.
You can guess-and-check your way to the answer, but a faster efficient route is to use algebra. Add up those x expressions and set the sum equal to 72 and solve.
(first) + (second) + (third) = 72
(x) + (x+2) + (x+4) = 72
3x+6 = 72
3x = 72-6
3x = 66
x = 66/3
x = 22
So we have,
x = 22 = first even numberx+2 = 22+2 = 24 = second even numberx+4 = 22+4 = 26 = third even numberAs a check: 22+24+26 = 72 which verifies the answers.
A satellite flies 136640 miles in 17. 08 hours. How many miles has it flown In 9. 87 hours
Answer:
78 960 miles
Step-by-step explanation:
136640 m / 17.08 hr = 8000 m/hr
8000 m/hr * 9.87 hr = 78 960 miles
solve the equation :
[tex] |6x^{2} + x - 2| + |2 + 3x - 9x^{2} | = |4x - 3x ^{2} | [/tex]
Answer:
x = ∞Step-by-step explanation:
Solving
| 6x² + x - 2 | + | 2 + 3x - 9x² | = | 4x - 3x² |6x² + x - 2 + 2 + 3x - 9x² = 4x - 3x²-3x² + 4x = 4x - 3x²x = ∞Any value is possible as long as it is positive and a real number158962.5 rounded to nearest tenth
Answer:
158962.5
Step-by-step explanation:
it is already round to the tenth ,but if you are talking about rounding to the neartest whole number is it 158963
sorry if i am wrong :) have a nice day
A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the screen to the height of the screen, is
16:9
What is the length of the diagonal of the screen, to the nearest whole inch?
Enter your answer in the box.
Answer:
22.95 in = ~~ 23 inches
Step-by-step explanation:
16 + 9 = 25
9/16 = x/20 shows x = 11.25 in is height
diagonal ( via pyhtag theorem)
= sqrt ( 20^2 + 11.25^2 ) = 22.95 inches
PLEASE HELP ME 60 QUESTIONS ARE DUE TODAY!!!!!!!!!!!!!!!!!!!! PLS HELP WILL GIVE BRAINlIEST!!!!!
Answer:
x=3/2
Decimal Form:
x=1.5
Mixed Number Form:
x=1-1/2
Step-by-step explanation: