Answer: 20 servings
Step-by-step explanation:
From the question, Sara is having a dinner party for four friends and she needs to reduce the serving size of the meatloaf recipe. Sara used the equation x/4=5 . To get the number of servings the recipe originally made, we have to find the value of x.
x/4 = 5
x = 4 × 5
x = 20
This means that the recipe that was used originally made 20 servings.
Answer: D. 20 servings
Step-by-step explanation: I got it right on edge
Micheal has 1/2 of a yard of fabric to make book covers. Each book cover is made from 1/8 of a yard of fabric. How many book covers can Micheal make?
Answer:
4
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{8}[/tex] = 4
A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles? Individual Question $44.44 $109.08 $118.80 $408.04 $444.40
Answer: $408 04
Step-by-step explanation:
Average of the car = 27 miles per gallon
Petrol required to travel 2727 miles = 2727 / 27 = 101 gallons
Cost of petrol = 101 x 4.04 = 408.04
Is the relation a function?
{(-6, -1), (5,-1), (0, -1), (-2, -1), (3, -1)}
Answer:
yes it is a function
Step-by-step explanation:
For that no two x values are the same with different y values
which of the following represents 8 square root x^3 in exponential form
Answer:
x^3/8
Step-by-step explanation:
Use n √ a^ x = a ^x/ n to rewrite 8 √ x ^3 as x ^3/ 8 .
25) The endpoints of the diameter of a circle are (6, 5) and (−2, 3). Which equation represents the circle? A) (x − 2)2 + (y − 4)2 = 9 B) ( x+ 2)2 + (y + 4)2 = 16 C) (x − 2)2 − (y + 4)2 = 16 D) (x − 2)2 + (y − 4)2 = 17
Answer:
Option D.
Step-by-step explanation:
It is given that the endpoints of the diameter of a circle are (6, 5) and (−2, 3). So, midpoint of these end point is the center of the circle.
[tex]Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Center=\left(\dfrac{6+(-2)}{2},\dfrac{5+3}{2}\right)[/tex]
[tex]Center=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]
[tex]Center=\left(2,4\right)[/tex]
So, center of the circle is (2,4).
Length of diameter of the circle is the distance between (6, 5) and (−2, 3).
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(-2-6)^2+(3-5)^2}[/tex]
[tex]d=\sqrt{(-8)^2+(-2)^2}[/tex]
[tex]d=\sqrt{64+4}[/tex]
[tex]d=\sqrt{68}[/tex]
[tex]d=2\sqrt{17}[/tex]
So, radius of the circle is
[tex]r=\dfrac{d}{2}=\dfrac{2\sqrt{17}}{2}=\sqrt{17}[/tex]
Standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, (h,k) is center of the circle and r is radius.
Substitute h=2, k=4 and [tex]r=\sqrt{17}[/tex] in the above equation.
[tex](x-2)^2+(y-4)^2=(\sqrt{17})^2[/tex]
[tex](x-2)^2+(y-4)^2=17[/tex]
Therefore, the correct option is D.
Find the surface area of the cylinder.
7 cm
5 cm
Answer:
A≈527.79
Step-by-step explanation:
A=2πrh+2πr2=2·π·7·5+2·π·72≈527.78757
As part of the interview process for a position at a manufacturing company, candidates are asked to take an aptitude test and a personality test. The maximum score on the aptitude test is 120 and the maximum score on the personality test is 48.
Alan, a human resources employee, randomly selects test scores from 8 of the candidates. These scores are represented in the table shown.
Aptitude Test
107
98
102
97
85
104
95
89
Personality Test
40
42
37
30
39
44
46
33
a)What is the estimated mean score on the aptitude test for all candidates for a position at the manufacturing company?
Round your answer to the nearest whole number.
b)What is the estimated mean score on the personality test for all candidates for a position at the manufacturing company?
Round your answer to the nearest tenth.
Answer: a) 97
b) 38.9
Step-by-step explanation:
a) add all of the numbers from the aptitude test together and then divide that number by the number of scores recorded, so it would be 777/8 which equals 97
b) add all of the numbers from the personality test together and then divide that by the number of scores recorded, so it would be 311/8 which equals 38.9
i hope this helps.
a) the quadratic x^2-4x-21 can be written in the form (x+a)^2+b find the values of and and b
b) hence, or otherwise, solve the equation x^2-4x-21=0
Jake is earning money for a new TV. So far, he has put $54.29, $87.20, and $21.44 into his savings account. How much money has Jake saved?
add all the values together
54.29+87.20=141.49
141.49+21.44=162.93
Answer:
$162.93
Step-by-step explanation:
Do 54.29 + 87.20 + 21.44 and get 162.93 than put this $ in front of you answer then you have $162.93
(3 * 2.50 + 8 * 1.25)d (use distributive property)
Answer:
Step-by-step explanation:
The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.
00:00
Brice is finding the sum of 468 and 241 by breaking it into smaller problems
He uses place value and finds the sums of the hundreds, tens, and ones.
What is the sum of the tens? Enter your answer in the box.
1
A rectangular prism has a surface area of 448 cm2. It’s length is 14 cm and it’s width is 6 cm. Find the height.
Given:
Length, l = 14 cmBreadth, b = 6 cmArea of rectangular prism ( cuboid ) = 448 cm²To find out:
Find the height, h ?
Formula used :
Area of rectangular prism ( cuboid ) = 2 ( lb + bh + hl )
Solution:
We know that that,
Area of rectangular prism ( cuboid ) = 2 ( lb + bh + hl )
=> 448 = 2 ( 14 × 6 + 6 × h + h × 14 )
=> 448 = 2 ( 84 + 6h + 14h )
=> 448 = 2 ( 84 + 20h )
=> 448 = 168 + 40h
=> 40h = 448 - 168
=> 40h = 280
=> h = 280/40
=> h = 7 cm
Which graph represents a function with direct variation?
help asap!!
Find the value of x in the triangle pair below
Answer:
x=16.97056274... or 12[tex]\sqrt{2}[/tex]
Step-by-step explanation:
the hypotenuse of a 45, 45, 90 triangle is the length of the leg times the square root of 2
30 points for the right answer! I really need help...
a. What is the estimate for the probability of selecting a blue crayon?
b. What is the estimate for the probability of selecting a brown crayon?
c. What is the estimate for the probability of selecting a red or yellow crayon?
d. What is the estimate for the probability of selecting a pink crayon?
e. If there are 300 crayons in the bag,how many will be red? Show your work.
Answer:
a) 1/6, b) 11/36, c) 1/4, d) 0, e) 50
Step-by-step explanation:
a. What is the estimate for the probability of selecting a blue crayon?
6/36= 1/6b. What is the estimate for the probability of selecting a brown crayon?
11/36c. What is the estimate for the probability of selecting a red or yellow crayon?
(6+3)/36=9/36=1/4d. What is the estimate for the probability of selecting a pink crayon?
0, there is no pinke. If there are 300 crayons in the bag,how many will be red? Show your work.
300*6/36=300/6=50Answer:
a) 1/6, b) 11/36, c) 1/4, d) 0, e) 50
Becky made 4 quarts of chicken noodle soup in a big pot, then served 112-cup bowls of soup to 6 people. How much soup is left in the pot?
Answer:
1qt 3c
Step-by-step explanation:
Line I and h intersect at what point
Answer:
please show where the lines are graphed in a picture
Step-by-step explanation:
What is the equation in slope-intercept form of a line with slope of 5 and y-intercept of 3?
y=5x+3
Because the starting value(y intercept is 3) and the slope(x) is 5
PLLZZZZZZZZZZZZ HELP ME :(((((((((
Answer:
Least children=9
Step-by-step explanation:
there can be at least 1 row of 6 kids with 3 left so that is 9 kids. and there can be at least 1 row of 8 kids with 3 left so there is 11 kids. So the least number of kids possible is 9.
Find the solution(s) to x^2- 14x + 49 = 0.
O A. x=-2 and x = 7
B. x= -1 and x = 14
C. x= 7 only
D. x = 7 and x = -7
Answer:
[tex] \boxed{C. \: x = 7 \: only} [/tex]
Step-by-step explanation:
[tex] = > {x}^{2} - 14x + 49 = 0 \\ \\ = > {x}^{2} - (7 + 7)x + 49 = 0 \\ \\ = > {x}^{2} - 7x - 7x + 49 = 0 \\ \\ = > x(x - 7) - 7(x - 7) = 0 \\ \\ = > (x - 7)(x - 7) = 0 \\ \\ = > {(x - 7)}^{2} = 0 \\ \\ = > x - 7 = 0 \\ \\ = > x = 7[/tex]
Please Help me it’s geometry
Answer:
Option C.
Step-by-step explanation:
Given: In [tex]\Delta OPQ,m\angle O=107^{\circ},m\angle P=28^{\circ} [/tex].
In [tex]\Delta OPQ[/tex],
[tex]m\angle O+m\angle P+m\angle Q=180^{\circ}[/tex] (Angle sum property)
[tex]107^{\circ}+28^{\circ}+m\angle Q=180^{\circ}[/tex]
[tex]135^{\circ}+m\angle Q=180^{\circ}[/tex]
[tex]m\angle Q=180^{\circ}-135^{\circ}[/tex]
[tex]m\angle Q=45^{\circ}[/tex]
Now,
[tex]m\angle O>m\angle Q>m\angle P[/tex]
In a triangle, the greatest angle has largest opposite side and smallest angle has smallest opposite side. So, we conclude that
[tex]PQ>OP>QO[/tex]
Therefore, the correct option is C.
please help as soon as possible
I WILL MARK YOU AS BRAINLIEST
Answer:
Last choice
Step-by-step explanation: Subtract 11 and then divide by 3. A would be greater than -2 and last choice shows that
A model for a company's revenue is R = -12p2 + 240p + 10,000, where "p" is the price
in dollars of the company's product. Find the maximum revenue.
Answer:
Maximum revenue is 11200 at price p=10.
Step-by-step explanation:
If a quadratic function is defined by [tex]f(x)=ax^2+bx+c[/tex] and a<0, then it is maximum at [tex](\frac{-b}{2a},f(\frac{-b}{2a}))[/tex].
The revenue model of a company is
[tex]R=-12p^2+240p+10,000[/tex]
Here, [tex]a=-12, b=240,c=10000[/tex].
So,
[tex]-\dfrac{b}{2a}=-\dfrac{240}{2(-12)}=10[/tex]
It means, revenue is maximum at price 10.
Substitute p=10 in the revenue function.
[tex]R=-12(10)^2+240(10)+10000[/tex]
[tex]R=-1200+2400+10,000[/tex]
[tex]R=11,200[/tex]
Therefore, maximum revenue is 11200 at price p=10.
If g(x) = -4x + 5, find g(2x-1).
Answer:
- 8x + 9
Step-by-step explanation:
To evaluate g(2x - 1) substitute x = 2x - 1 into g(x), that is
g(2x - 1)
= - 4(2x - 1) + 5 ← distribute parenthesis and simplify
= - 8x + 4 + 5
= - 8x + 9
Answer:
= - 8x + 9
Step-by-step explanation:
= - 8x + 4 + 5
= - 8x + 9
Ellen purchased two binders for $1.25 each, two binders for $3.75 each, two packs of paper for $1.50 each, four packs of pens for $1.75 each, and four packs of pencils for $2.25 each. How much did Ellen spend on office supplies?
Answer:
$29
Step-by-step explanation:
2*1.25
2*3.75
2*1.5
4*1.75
4*2.25
multiply these and add them all up and you get 29
Answer:
$29.00
Step-by-step explanation:
you can solve this by writing a simple equation. (2 x 1.25) + (2 x 3.75) + (2 x 1.5) + (4 x 1.75) + (4 x 2.25) = Y. You can solve this by hand by following PEMDAS, or you could simply just plug it into a calculator.
A few years ago, a country consumed 19,400,000 barrels of oil per day. That same year, there were about 119,000,000 households in that country. A barrel of oil is 42 U.S. gallons. Estimate how many gallons each household in the country consumed each day that year by rounding down all three numbers. (Round 19,400,000 barrels to 19,000,000 barrels, 119,000,000 households to 115,000,000 households, and 42 gallons to 40 gallons. Round your answer to two decimal places.)
_________ gal/household/day
Calculate the answer without using estimation and compare the two results. (Round your answer to two decimal places.)
___________gal/household/day
Following are the calculation to fill in the blank:
For Part a)
Each home in this town consumed
[tex]\to 40 \times \frac{19000000}{115000000}\\\\\to 40 \times \frac{19}{115}\\\\\to 40 \times 0.165\\\\\to 6.6 \ \text{gallons of oil per day}[/tex]
For Part b)
Without completing the sentence,
[tex]\text{Total consumption = 19200000 barrels}\\\\\text{Total number of households = 118000000}[/tex]
As a result, each household consumed.
[tex]\to \frac{19200000}{118000000} \\\\\to \frac{192}{1180} \ (barrels)\\\\[/tex]
In the given scenario, each barrel includes 42 gallons of oil. Therefore, every household consumed [tex]42 \times \frac{192}{1180} = 6.83 \ gallons[/tex] oil each day.
Learn more:
brainly.com/question/14798687
Hence, each household will consume 6.60 gallons per day.
Total Households of that country =115000000 (approx.)
Total barrels used per day =19000000 (approx.)
Given 1 barrel = 40 gallons (approx.)
So total gallons used per day = 19000000 x 40 =760000000
So each household will consume gallons per day = total gallons used per day / Total household of that country
=[tex]=\frac{760000000}{ 11500000}[/tex]
=6.60 gallons/household/day
So each household will consume 6.60 gallons per day.
Learn More: https://brainly.com/question/12272570
Pls help me on this................
Answer:
Step-by-step explanation:
Tiffany cells 2 kinds of homemade tomato sauce
Answer:
b
Step-by-step explanation:
Let x represent the number of quarts of Tuscan sauce and
y represents the number of quarts of marinara sauce Tiffany makes.
A quart of Tuscan sauce requires 6 tomatoes and 1 cup of oil
x quarts requires 6x tomatoes and 1x cups of oil
A quart of her marinara sauce requires 5 tomatoes and 1.25 cups of oil
y quarts requires 5y tomatoes and 1.25 y cups of oil
She has 45 tomatoes and 10 cups of oil on hand.
So the constraints are
6x+5y≤45
1x+1.25y≤10
x>=0 and y>=0
After drawing a diagram of what's required to make 1 quart of Tuscan and 1 quart of Marinara sauce, you can more clearly choose answer choice (B) 6x + 5y < (or equal to) 45, x + 5/4y < (or equal to) 10, x>(or equal to)0, y>(or equal to)0.
please mark brainliest :)
Select the equivalent expression.
Answer:
D.
Step-by-step explanation:
When you exponent a exponent, you multiply the 2 exponents together.
Answer:
The Answer is D
Step-by-step explanation:
When there is a fraction with exponents in parentheses that has an exponent, you multiply the outer exponent to the inner ones
Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. The table below shows the information about the two credit cards Marcia currently uses.
Card A
Card B
Amount
$1,389.47
$1,065.32
APR
16%
12%
Monthly Payment
$39.38
$28.05
After 4 years, approximately how much will Marcia have saved in interest by consolidating the two balances?
a.
$1,890.24
b.
$133.92
c.
$543.84
d.
$1,346.40
ANSWER IS B
Answer:
Option B ,$133.92 is correct
Step-by-step explanation:
By consolidating both balances in Card B,APR of 12% would apply to funds in card A as well
Let us approach the question by solving for monthly payment of Card A using 12% APR as follows while making use of excel pmt formula:
=pmt(rate,nper,-pv,fv)
rate is the monthly rate on the card which is 12%/12=1%
nper is the number of months of payment which is 12 months * 4 years=48
pv is the current balance in the card which is $1,389.47
fv is the total amount of monthly repayment which is taken as zero
=pmt(1%,48,-1389.47,0)=$ 36.59
Using 16% monthly payment is $39.38 which is given already
Total monthly payments for 16%=$39.38*48=$1890.24
Total monthly payments for 12% APR=$36.59*48=$1756.32
savings in total repayments=savings in interest=$1890.24 -$1756.32 =$133.92
Answer:
B. $133.92
Step-by-step explanation:
Just took the test and got it right
