5 books cost 20 work out the cost of 9 books
9 books cost 32
Step-by-step explanation:
5 books =20
1 book= 5÷20 = 4
9 books = 4×9 = 32
Answer:
36
Step-by-step explanation:
5books=20
9books=??
9×20=180
180÷5=36
What fraction is equivalent to half
Answer:
1/2 is a half for example u can do 4/8 and it is equal to a half does not matter how big like 50/100 is also correct. Hope this helps :)
brooklyn bought 8 bags of the same dog food. She has a $5 coupon. She spent $91. How much was each bad of dog food?
Answer:
$12
Step-by-step explanation:
Hi there!
What we know:
Brooklyn bought 8 bags of dog foodBrooklyn also used a $5 couponThe total was $91Therefore, 8 × (cost of 1 bag) - 5 = 91
Form an equation with x as the cost of 1 bag of dog food:
8 × (cost of 1 bag) - 5 = 91
[tex]8x-5=91[/tex]
Add 5 to both sides
[tex]8x-5+5=91+5\\8x=96\\[/tex]
Divide both sides by 8
[tex]\frac{8x}{8} = \frac{96}{8} \\x=12[/tex]
Therefore, 1 bag of dog food costs $12.
I hope this helps!
Solve the expression 8 + (9 x one third ) ÷ 3 using PEMDAS. (4 points)
Group of answer choices
4
7
8
9
Answer:
the answer is 9 hope this helps
Step-by-step explanation:
Using elimination, what is the solution to the following system?
x+y=4
x-y=8
Answer:
x=6, y=-2. (6, -2).
Step-by-step explanation:
x+y=4
x-y=8
----------
2x=12
x=12/2
x=6
6+y=4
y=4-6
y=-2
It is believed that the average amount of money spent per U.S. household per week on food is about $99, with standard deviation $13. A random sample of 16 households in a certain affluent community yields a mean weekly food budget of $100. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average. State the null and alternative hypotheses for this test, the test statistic and determine if the results significant at the 5% level.
Answer:
The null hypothesis is [tex]H_0: \mu = 99[/tex]
The alternate hypothesis is [tex]H_a: \mu > 99[/tex]
The test statistic is [tex]z = 0.31[/tex]
The pvalue of the test is 0.3783 > 0.05, which meas that the results are not significant at the 5% level.
Step-by-step explanation:
It is believed that the average amount of money spent per U.S. household per week on food is about $99. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average.
At the null hypothesis, we test if the mean is the national average of 99, that is:
[tex]H_0: \mu = 99[/tex]
At the alternate hypothesis, we test if the mean is greater than the national average of 99, so:
[tex]H_a: \mu > 99[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
99 is tested at the null hypothesis:
This means that [tex]\mu = 99[/tex]
A random sample of 16 households in a certain affluent community yields a mean weekly food budget of $100. Standard deviation of $13.
This means that [tex]n = 16, X = 100, \sigma = 13[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{100 - 99}{\frac{13}{\sqrt{16}}}[/tex]
[tex]z = 0.31[/tex]
The test statistic is [tex]z = 0.31[/tex].
Determine if the results significant at the 5% level.
The pvalue of the test is the probability of finding a sample mean above 100, which is 1 subtracted by the pvalue of z = 0.31.
Looking at the ztable, z = 0.31 has a pvalue of 0.6217
1 - 0.6217 = 0.3783
The pvalue of the test is 0.3783 > 0.05, which meas that the results are not significant at the 5% level.
 !!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
Twice a number, decreased by 4, Is at least 12.Which of the following is a solution?
Image above
Answer:
2x-8=1/2-2
Step-by-step explanation:
Answer: 8
So, the first approach with this problem you should take is writing out the mathematical expression in association to what is being described.
To help break down the statement, let's look over it "twice a number (i.e., the number we are looking for multiplied by 2), decreased by 4 (subtraction), is at least 12 (equals that value).
Therefore,
2(x) - 4 = 12
Using algebra to isolate the x variable, we find that:
x = 8
I hope that I understood what was being asked enough to help!
Assignment: Ratio and Proportion: Molten Lava Cake
You will apply ratios and proportions to help you convert a recipe to serve more people. Use the recipe to solve the problems. The problem is your recipe only serves 8 people. Start by using the information to make 1 serving per person. Use proportions to increase the recipe to serve 30 people.
Molten Lava Cake Recipe:
1 c of sugar
6 squares of bittersweet chocolate
2 squares semisweet chocolate
1 1/4 stick butter
1/2 cup all-purpose flour
1 1/2 cups confectioners’ sugar
3 large eggs
4 egg yolks
1 tsp vanilla extract
2 1/2 tablespoons orange liqueur
Use proportions to increase the recipe to serve 30 people (1 serving per person).
Complete the table to include:
Ratio for one serving (use the table to assist you).
(i.e. If the recipe uses 1 cup of sugar, and the recipe serves 8, the ratio for one serving equals 1/8 cup sugar) thus the answer would be 1/8
Proportions used to increase recipe to 30 servings.
(i.e. for the sugar 1/(8 servings) = x/(30 servings)) thus the answer is 1/8 = x/30
Show the work to solve the proportion. Round your measurement to the nearest half. (i.e. 3.222 teaspoons rounds to 3 teaspoons, 3.666 teaspoons rounds to 3½ teaspoons, 3.89 teaspoons round to 4 teaspoons), thus the answer is 4
Scaled Recipe – Ingredient and new amount needed for 30 servings. Show the exact answer or the rounded measurement, thus the answer is 4.687 or 4 1/2
Here, we are required to apply ratios and proportions to help convert a recipe to serve more people.
The recipe for 30 people would be as follows:
4 c of sugar22 ¹/2 squares of bittersweet chocolate7 ¹/2 squares semisweet chocolate4 ¹/2 stick butter2 cup all-purpose flour5 ¹/2cups confectioners’ sugar11 ¹/2 large eggs15 egg yolks4 tsp vanilla extract9 ¹/2 tablespoons orange liqueur.The recipe in the question above only serves 8 persons.
However, we are required to convert the recipe into one that serves 30 persons.
To do that, it is important to first convert the recipe into one that serves one(1) person.
If the recipe serves 8 persons, therefore to serve 1 person, it requires dividing the quantity of each ingredient by 8.
The results are as follows:
1/8 c of sugar6/8 = 3/4 squares of bittersweet chocolate2/8 = 1/4 squares semisweet chocolate(1 1/4)/8 = 5/32 stick butter(1/2)/8 = 1/16 cup all-purpose flour(1 1/2)/8 = 3/16 cups confectioners’ sugar3/8 large eggs4/8 = 1/2 egg yolks1/8 tsp vanilla extract(2 1/2)/8 = 5/16 tablespoons orange liqueur.The new recipe above is for serving 1 person Molten lava cake.
Therefore, to serve 30 persons with the Molten lava cake, the quantity of each ingredient required for 1 person's serving i multiplied by 30.
The results are as follows:
(1/8) × 30 = 3.75 c of sugar(3/4) × 30 = 22.5 squares of bittersweet chocolate(1/4)×30 = 7.5 squares semisweet chocolate(5/32) × 30 = 4.6875 stick butter(1/16) ×30= 1.875 cup all-purpose flour(3/16) ×30 = 5.625 cups confectioners’ sugar(3/8)×30 = 11.25 large eggs(1/2) ×30 = 15 egg yolks(1/8) ×30 = 3.75 tsp vanilla extract(5/16) ×30 = 9.375 tablespoons orange liqueur.However, the question requires that the quantities be rounded off to the nearest half.
therefore we have,
4 c of sugar
22 ¹/2 squares of bittersweet chocolate
7 ¹/2 squares semisweet chocolate
4 ¹/2 stick butter
2 cup all-purpose flour
5 ¹/2cups confectioners’ sugar
11 ¹/2 large eggs
15 egg yolks
4 tsp vanilla extract
9 ¹/2 tablespoons orange liqueur.
Read more:
https://brainly.com/question/17442239
I NEED HELP PLS HELP ME ASAP!!! I'LL GIVE YOU 100 POINTS!
Answer:
189 sq mm
Step-by-step explanation:
area = (21×18)/2 = 189 sq mm
6 = z/4.5
please answer
find the measure of angle x in each of the following figure
Answer:
x = 114
Step-by-step explanation:
180 - 66 = x
x = 114
Have a nice day!
The ratio of sweaters to dresses that Susan has is 7:2. If Susan has 14 dresses then how many sweaters does she have?
Answer:
4 sweaters
Step-by-step explanation:
If the ratio is 7:2, then 14//7 = 2
2x2=4
Two brothers are allowed to spend a maximum of 5.90 money as pocket money.the elder brother spent 2.97 money. How much was left for the younger brother?
-(x - 13) = 10(x + 9)
Abi is carrying 3 gallons of milk. Each gallon of milk weighs 8.6 pounds. Abi wants to know the total weight of milk he is carrying.
Abi draws the area model below to find the product of 3 and 8.6.
8
0.6
3
3 x 8 = ?
3 x 0.6 = ?
What is the total weight of the milk he is carrying?
Use the number pad to enter your answer in the box.
Answer:
25.8 pounds
Step-by-step explanation:
3 x 8.6 = 25.8
I need help please I would appreciate if someone can help and god bless you
Write in standard form 0.0003251
Answer:
Step-by-step explanation:
The answer is 3.2510 x 10^-4
verify the following -12/5 + 2/7 = 2/7 + -12/5
Answer:
yeah they are the same
Step-by-step explanation:
-2.11428571429
Step-by-step explanation:
By using the commutative property, regardless of how the numbers are listed using addition or multiplicaton, they will equal the same thing.
So, a+b=b+a, which is what is present for your question.
I need help with this
Answer:
im confusled
Step-by-step explanation:
If 19 is subtracted from three times a number, the difference is 110. What is the number? *
Answer:
Step-by-step explanation:
Three of you is 3 Sarahs. 3 times a number is 3n, or 3-whatever letter you pick. Subtract 19 from that...
3n - 19
If it confuses you, pick an actual number to use. 19 subtracted from 3 times 6.
3(6) - 19
Instead of solving and getting 1, just replace the 6 with a letter. Most people like to use x, but I used n since "number" starts with n.
3n - 19
a metal washer fabrication machine makes metal washes with a Target diameter of u=10.5 millimeters. the machine has some variability Southeast standard deviation of the diameter is o= 0.003 millimeters. same machine operator inspects a random sample of 9 washers each hour quality control purposes and record the sample mean diameter, x. assuming the process is working properly what are the mean and standard deviation of the sampling distribution of x?
Answer: ux= 10.5, ox= 0.001
Step-by-step explanation:
I took the test and got it right
Jeffrey left 4/7 of his estate to his wife and 1/4 of the remainder to his granddaughter.The part of his estate that is not accountefor .given as a fraction is?
Carole worked her 40 regular hours plus 5 O.T. hours at time-in-a-half rate. Her gross pay was $1,163.75. What is her regular hourly rate?
Let her standard pay rate = x
She worked 40 hours for x per hour she also worked 5 hours at 1.5x ( time and a half)
Write an equation:
40x + 5(1.5x) = 1163.75
Simplify:
40x + 7.5x = 1163.75
Combine like terms:
47.5x = 1163.75
Divide both sides by 47.5
X = 24.50
Her regular hourly rate is $24.50
Answer:
let rate be x
by question
40x+7.5x=1163.75
x=1163.75/47.5=24.5
her regular income is $24.5 per hour.
Max used 12 1⁄2 pounds of deli meat in one week at his sandwich shop. If he uses 1⁄4 of a pound of meat for each sandwich, how many sandwiches did he make with the deli meat?
Answer:
[tex]12 \frac{1}{2} \div \frac{1}{4} = x \\ 12.5 \div 0.25 = x \\ x = 50[/tex]
Max made 50 sandwiches
What does 2 1/3 + 1 1/5 + 1 1/5 =?
Answer:
[tex]6\frac{11}{15}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{3}[/tex] equals to [tex]\frac{7}{3}[/tex]
[tex]\frac{11}{5}+\frac{11}{5}=\frac{22}{5}[/tex]
but the denominator is not the same in [tex]\frac{7}{3}[/tex] and [tex]\frac{22}{5}[/tex]. So you would need to find the LCM for 3 and 5. The LCM for 3 and 5 is 15.
[tex]\frac{7}{3}*\frac{5}{5} =\frac{35}{15}[/tex]
[tex]\frac{22}{5}*\frac{3}{3} =\frac{66}{15}[/tex]
[tex]\frac{35}{15} +\frac{66}{15} =\frac{101}{15}[/tex]
[tex]\frac{101}{15} =6\frac{11}{15}[/tex]
Simplify: (6a +5)(4a+5)
Answer:
24a^2 +50a+25
Step-by-step explanation:
Consider the graph of f(x). What is the domain of f(x)?
Answer:
(-infinity,+infinity)
Step-by-step explanation:
Any real value of x can be defined with a unique output in this function.
What would y be? If x is 9 m
A game is played with a spinner on a circle, like the minute hand on a clock. The circle is marked evenly from 0 to 100, so, for example, the 3:00 position corresponds to 25, the 6:00 position to 50 and so on. The player spins the spinner, and the resulting number is the number of seconds he or she is given to solve a word puzzle. If 100 players are randomly selected, what is the approximate probability that the average time these players will get to solve the puzzle is between 44 and 56 seconds
Answer:
P( 44 < X < 56 ) = 0.12
Step-by-step explanation:
Number of seconds one gets to solve the puzzle ( X )
E( X ) = 100 + 0 ) / 2 = 50
Var ( X ) = 833.3333
бx = √833.3333 = 28.868
Determine The approximate probability
P( 44 < X < 56 ) = Δ time given / number of players selected
P( 44 < X < 56 ) = (56 - 44) / 100
= 12 / 100 = 0.12
y
What is the equation of the circle shown in the graph?
v)2 +
10
8
61
4
2
X
18 8 6
2 4 6 8 10
-2
-6
-10
Answer:
(x+6)^2 + (y-4)^2=36
Step-by-step explanation:
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