answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frutty [35]
2 years ago
15

You add 11/4 tablespoons of olive oil for every 3/2 tablespoons of balsamic vinegar to make 34 tablespoons of bread dip. How muc

h olive oil and balsamic vinegar do you use?
Mathematics
1 answer:
Dafna11 [192]2 years ago
8 0

Hey there!

Let's write this as a ratio/proportion.

\frac{olive oil}{balsamic vinegar} = \frac{2.75}{1.5}

The sum of this basic ratio is 4.25.

To figure out how much of each we have for 34, we divide this 34 by 4.25, our sum of the two ingredients. This will give us a factor we can multiply our two ingredient measurements by.

34/4.25=8

Now, we multiply our two ingredients by eight.

2.75(8)=22

1.5(8)=12

Note that these two add up to make 34 tablespoons.

Therefore, we have...

22 tablespoons of olive oil and 12 tablespoons of balsamic vinegar were used in the 34 tablespoons of bread dip.

I hope this helps! Have a great day! :)

You might be interested in
What is 1,242/99 rounded to the nearest integer? Explanation please?
tangare [24]

Answer:

13 is the answer.

Step-by-step explanation:

In this question the given fraction is

Now we have to simplify the fraction to the nearest integer.

Since the integers are whole number not in fraction therefore 12.5 can be written as 13 as the nearest integer.

Step-by-step explanation:

Please mark brainliest and have a great day!

4 0
2 years ago
The quality control manager at a light bulb factory needs to estimate the mean life of a batch (population) of light bulbs. We a
Nadusha1986 [10]

Answer:

<em>a)95%  confidence intervals for the population mean of light bulbs in this batch</em>

(325.5 ,374.5)

b)

<em>The calculated value Z = 4 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The manufacturer has not right to take the average life of the light bulbs is 400 hours.</em>

Step-by-step explanation:

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

The tabulated value Z₀.₉₅ = 1.96

<em>95%  confidence intervals for the population mean of light bulbs in this batch</em>

<em></em>(x^{-} - Z_{\frac{\alpha }{2} } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\frac{\alpha }{2} }\frac{S.D}{\sqrt{n} } )<em></em>

<em></em>(350 - 1.96\frac{100}{\sqrt{64} } , 350 + 1.96\frac{100}{\sqrt{64} } )<em></em>

(350 -24.5, 350 +24.5)

(325.5 ,374.5)

b)

<u><em>Explanation</em></u>:-

Given mean of the Population μ = 400

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

<u><em>Null hypothesis</em></u> : H₀:The manufacturer has right to take the average life of the light bulbs is 400 hours.

μ = 400

<u><em>Alternative Hypothesis: H₁:</em></u> μ ≠400

<u><em>The test statistic </em></u>

Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

Z = \frac{350 -400}{\frac{100}{\sqrt{64} } }

|Z| = |-4|

The tabulated value   Z₀.₉₅ = 1.96

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected.

<u><em>Conclusion:</em></u>-

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

5 0
2 years ago
Let p denote the proportion of students at a particular university that use the fitness center on campus on a regular basis. For
9966 [12]

Answer:

a) P-value = 0.0968

b) P-value = 0.2207

c) P-value = 0.0239

d) P-value = 0.0040

e) P-value = 0.5636

Step-by-step explanation:

As the hypothesis are defined with a ">" sign, instead of an "≠", the test is right-tailed.

For this type of test, the P-value is defined as:

P-value=P(z>z^*)

being z* the value for each test statistic.

The probability P is calculated from the standard normal distribution.

Then, we can calculate for each case:

(a) 1.30

P-value=P(z>1.30) = 0.0968

(b) 0.77

P-value=P(z>0.77) = 0.2207

(c) 1.98

P-value=P(z>1.98) = 0.0239

(d) 2.65

P-value=P(z>2.65) = 0.0040

(e) −0.16

P-value=P(z>-0.16) = 0.5636

7 0
1 year ago
Pens cost 15 pence each.
ch4aika [34]

Answer:

The amount the school pays is £32.40

Step-by-step explanation:

The cost of each pen = 15 pence

The cost of each ruler = 20 pence

The number of pens bought by the school = 150

The number of rulers bought by the school = 90

The cost reduction (discount) on the items bought = 1/5

Therefore, we have;

The total cost of the pens bought by the school = 150 × 15 = 2250 = £22.50

The total cost of the rulers bought by the school = 90 × 20 = 1800 = £18.00

The total cost of the writing materials (rulers and pens) bought by the school = £22.50 + £18.00 = £40.50

The discount = 1/5 total cost reduction = 1/5×£40.50  = $8.10

The amount the school pays = The total cost of the writing materials - The discount

The amount the school pays = £40.50 - $8.10 =  £32.40

The amount the school pays =  £32.40.

7 0
1 year ago
The New Haven High School cheerleaders got a t-shirt gun. The cheerleaders stand
nevsk [136]

Answer: the gun was held 4ft high i.e H = 4ft

Step-by-step explanation:

To determine how high the gun was held when it was fired H;

Before firing the t-shirt up, the gun and the t-shirt are both at the same height.

Therefore,

H = h(0) i.e h(t) at t = 0

h(t) = -16t^2 + 64t + 4

H = h(0) = -16(0)^2 + 64(0) + 4

H = 4ft

7 0
2 years ago
Other questions:
  • Polygon ABCDE is dilated by a scale factor of 3 with the center of dilation at the origin to create polygon A'B'C'D'E'. If the e
    7·2 answers
  • Jade used Fraction 3 over 4 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 4 over 5 yards o
    5·2 answers
  • A runner increases her speed from 3.1 m/s to 3.5 m/s during the last 15 seconds of her run, what was her acceleration during her
    15·1 answer
  • Mr. Scruggs got some money for his birthday. He spent 1/5 of it on dog treats. Then he divided the remainder equally among his t
    7·1 answer
  •  A hiker is walking down a mountain. She walked​ 5,978 feet in 17 minutes. In that​ time, she descended​ 1,024 feet from the top
    7·1 answer
  • Suppose that a company claims that its chocolate bars weigh 1.6 ounces on average. It took many large samples, and each time the
    15·2 answers
  • Which of the following functions is graphed below?(:
    13·2 answers
  • On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production emp
    11·1 answer
  • tony goes to the funfair and has one go on the hoopla ad one go on the darts. the probability that he wins at hoopla is 0.3 the
    9·1 answer
  • Can anyone help me with this?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!